diff --git a/model_assignments/bf_ps/1236/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1236/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..e4b098df2c34202fafe31f89a34cbb6c5814501e
--- /dev/null
+++ b/model_assignments/bf_ps/1236/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1236/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1236/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ff551c25e07be4ffd9025a591b950c10adf50077
--- /dev/null
+++ b/model_assignments/bf_ps/1236/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1236/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1236/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..19a249eee4d99806bd7d3080a66fb4ef84f5792e
--- /dev/null
+++ b/model_assignments/bf_ps/1236/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1236/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1236/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..770fdb475eceac0eebc01f45cf46152a7b6614a6
--- /dev/null
+++ b/model_assignments/bf_ps/1236/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1236/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1236/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..7594b8c9dfb2c3a7175a28a4009d83bfe005e0a0
--- /dev/null
+++ b/model_assignments/bf_ps/1236/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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+2,1,6,7,7,5,5,7,1,1,6,4,1,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,4,5,1,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,2,1,5,6,4,5,6,4,7,3,4,2,4,6,3,2,5,5,4,1,1,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,4,4,3,2,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,5,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,5,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,5,2,2,4,5,7,3,1,4,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,1,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,4,4,7,6,2,7
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+2,1,6,7,7,5,2,7,1,1,6,4,4,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,5,6,4,2,6,4,7,4,4,5,4,6,3,2,5,2,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,4,3,2,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,5,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,4,1,6,4,6,5,6,7,1,3,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,4,4,5,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,5,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,3,1,5,2,1,5,2,2,2,4,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,3,4,5,4,6,3,2,1,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,4,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,1,4,2,2,7,4,3,4,6,5,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,4,1,5,2,7,7,4,7,5,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,4,5,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,3,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,1,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+5,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,4,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,4,2,6,6,5,2,1,3,1,4,4,7,1,5,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,4,4,1,2,5,2,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,1,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,4,4,2,4,2,7,5,5,3,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,5,1,1,2,2,2,4,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,2,7,1,3,6,4,4,5,6,4,4,6,2,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,4,4,5,4,6,3,2,5,2,2,1,4,5,1,6,4,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,2,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,2,4,5,5,2,5,5,2,4,2,4,2,7,1,5,1,4,3,6,3,6,5,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,2,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,1,6,4,1,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,1,7,4,1,5,1,7,2,1,5,6,3,5,6,4,7,4,4,5,4,6,3,2,5,5,4,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,5,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,2,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,3,2,4,5,1,2,3,1,6,5,4,5,5,2,5,2,2,4,2,3,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,4,7,4,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,2,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,4,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,1,6,4,1,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,3,5,6,4,7,3,1,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,4,4,3,2,6,2,1,5,6,6,5,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,2,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,3,1,2,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,5,4,5,5,2,5,2,2,4,2,3,2,7,5,5,1,4,3,6,3,6,5,7,5,7,4,6,2,6,4,4,5,1,7,4,3,1,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,5,1,5,2,1,5,4,2,2,1,5,7,3,1,3,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,1,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,3,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,4,6,4,1,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,5,6,4,7,4,4,5,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,1,3,2,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,1,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,5,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,3,4,5,4,6,3,2,5,5,3,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,5,6,6,5,2,1,3,1,4,4,7,1,5,4,6,4,5,7,7,7,2,3,6,1,6,1,7,1,2,4,3,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,2,1,2,3,1,6,2,4,5,2,2,5,5,2,4,5,3,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,5,6,4,1,5,1,7,4,2,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,3,2,2,4,5,7,3,1,4,1,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,4,6,4,4,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,4,7,4,4,5,1,7,2,1,5,6,4,2,6,4,7,3,4,5,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,4,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,4,4,2,5,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,5,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,3,5,2,2,4,2,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,5,4,7,2,5,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,4,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,2,7
+5,1,6,7,7,5,2,7,1,3,6,4,1,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,3,4,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,5,1,1,6,6,6,7,1,4,1,3,4,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,4,5,3,2,7,5,5,1,3,3,6,3,6,5,7,5,7,4,6,5,6,4,1,5,1,7,4,1,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,5,1,5,5,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,3,2,6,4,7,4,3,5,4,6,3,2,5,2,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,1,3,4,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,2,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,4,4,2,4,2,7,5,5,4,3,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,4,5,7,3,1,3,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,1,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
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+3,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,4,7,7,7,5,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,2,6,4,7,3,1,5,4,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,3,1,2,2,7,7,4,7,5,1,4,3,2,4,5,1,2,3,1,6,2,4,5,2,2,5,5,2,4,5,4,2,7,5,5,1,3,3,6,3,6,5,7,5,7,4,6,5,6,4,4,5,1,7,4,2,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,5,1,5,2,2,2,1,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,4,4,5,4,6,3,2,5,5,2,1,3,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,4,3,4,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,2,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,2,1,2,3,1,6,2,4,5,5,2,5,5,2,4,2,3,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,5,1,5,5,2,2,1,5,7,3,1,3,4,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,4,7,4,1,5,1,7,2,1,5,6,4,2,6,4,7,3,4,2,4,6,3,2,5,2,2,1,1,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,4,2,5,5,1,2,4,4,2,5,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,2,4,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,5,2,2,1,5,7,3,1,4,1,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,2,6,4,7,3,4,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,1,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,3,2,7,5,5,1,3,3,6,3,6,5,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,5,1,5,5,1,5,1,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,4,6,4,4,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,5,6,4,7,4,4,5,4,6,3,2,5,5,4,1,1,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,4,1,3,4,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,5,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,4,2,5,2,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,3,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,4,2,7,5,5,4,3,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,4,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,5,1,5,2,1,5,1,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,4,4,7,6,4,7
+3,1,6,7,7,5,2,7,1,4,6,4,4,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,5,5,4,7,6,6,1,7,4,4,5,1,7,2,1,5,6,4,5,6,4,7,4,4,2,4,6,3,2,5,5,4,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,4,2,4,1,2,5,2,1,2,4,4,2,5,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,3,2,7,7,4,7,5,1,4,1,2,4,2,1,2,3,1,6,2,4,5,5,2,5,2,2,4,2,3,2,7,5,5,1,4,3,6,3,6,5,7,5,7,4,6,2,6,4,4,5,1,7,4,2,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,1,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,5,5,4,7,6,6,1,7,4,1,5,1,7,2,1,5,6,4,5,6,4,7,4,4,2,4,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,1,3,2,6,2,1,5,6,6,2,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,4,4,2,5,7,4,3,4,6,5,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,5,4,5,2,2,5,5,2,4,2,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,5,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,5,1,5,1,2,4,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,1,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,4,6,4,4,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,4,5,4,1,2,7,7,7,5,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,3,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,4,3,3,4,6,2,1,1,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,1,4,4,2,7,4,3,4,6,2,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,3,2,3,2,7,5,5,4,3,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,5,2,2,4,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,1,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,4,4,2,4,6,3,2,5,5,4,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,2,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,2,4,5,2,2,5,5,2,4,2,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,5,1,5,4,2,2,4,5,7,3,1,4,4,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,1,6,4,1,5,6,4,4,6,2,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,1,7,4,4,5,1,7,2,1,5,6,4,2,6,4,7,3,4,5,4,6,3,2,5,2,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,2,4,4,2,5,2,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,1,2,4,5,1,2,3,1,6,5,4,5,2,2,5,2,2,4,5,4,2,7,5,5,1,4,3,6,3,6,5,7,5,7,4,6,5,6,4,4,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,3,2,2,4,5,7,3,1,4,1,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,4,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,2,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,5,6,4,7,3,4,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,1,5,6,6,2,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,1,2,5,2,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,3,6,2,1,5,2,7,7,4,7,2,1,4,4,2,4,2,1,2,3,1,6,2,4,5,5,2,5,2,2,4,2,4,2,7,5,5,1,3,3,6,3,6,5,7,5,7,4,6,5,6,4,1,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,2,1,5,5,1,5,2,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,4,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,1,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,3,1,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,4,2,5,5,1,2,4,4,2,5,7,4,3,4,6,5,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,5,4,5,2,2,5,5,2,4,5,4,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,5,4,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,5,2,2,1,5,7,3,1,3,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,1,1,4,4,1,4,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,4,7,4,1,5,1,7,2,1,5,6,4,5,6,4,7,4,1,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,5,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,4,2,5,5,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,4,1,5,2,7,7,4,7,2,1,4,1,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,3,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,5,2,2,1,5,7,3,1,4,1,7,5,7,2,6,1,1,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,2,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,2,1,5,6,4,5,6,4,7,3,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,3,1,6,1,6,1,7,1,2,4,1,2,5,2,1,2,4,4,2,5,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,5,4,5,5,2,5,2,2,2,5,4,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,2,7,1,3,6,4,4,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,5,6,4,5,6,4,7,3,1,5,4,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,1,6,1,6,1,7,1,2,4,1,2,5,5,1,2,1,4,2,2,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,2,2,2,4,2,7,5,5,1,4,3,6,3,6,5,7,5,7,4,6,5,6,4,4,5,1,7,4,1,4,7,2,5,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,5,1,5,2,2,2,4,5,7,3,1,4,4,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,4,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,1,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,1,2,5,2,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,5,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,3,2,4,2,7,5,5,4,4,3,6,3,6,5,7,5,7,4,6,5,6,4,1,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,3,4,2,4,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,2,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,4,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,4,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,4,7
+5,1,6,7,7,5,2,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,4,5,6,4,7,3,4,2,4,6,3,2,1,5,2,1,1,5,1,6,4,6,3,5,6,5,1,5,6,6,6,7,1,4,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,4,1,5,2,7,7,4,7,2,1,4,3,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,4,4,2,3,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,2,2,2,1,5,7,3,1,4,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,1,1,4,3,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,4,4,5,4,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,5,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,4,2,5,2,1,2,1,4,2,2,7,4,3,4,6,5,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,3,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,5,6,4,1,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,5,1,5,1,2,2,1,5,7,3,1,4,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,4,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,3,4,1,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,5,4,6,4,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,2,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,3,1,2,2,7,7,4,7,5,1,4,3,2,4,5,1,2,3,1,6,2,4,5,5,2,5,2,2,4,5,3,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,5,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,4,1,2,6,4,5,6,4,7,3,4,5,4,6,3,2,5,5,3,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,5,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,2,4,4,2,5,2,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,2,4,5,2,2,5,5,2,3,2,4,2,7,5,5,4,4,3,6,3,6,5,7,5,7,4,6,2,6,4,4,5,1,7,4,2,4,7,2,5,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,2,2,2,1,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,2,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,3,4,5,1,7,2,1,5,6,4,5,6,4,7,4,4,2,4,6,3,2,5,4,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,2,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,5,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,3,1,5,2,7,7,4,7,2,1,4,1,3,4,5,1,2,3,1,6,5,4,5,5,2,5,2,4,4,5,3,2,7,5,5,4,3,3,6,3,6,5,7,5,7,4,6,2,6,4,1,5,1,7,4,1,4,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,5,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,1,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,4,7
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+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,3,2,6,4,7,3,1,5,2,6,3,2,5,5,4,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,4,3,4,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,1,2,5,2,1,3,1,4,2,2,7,4,3,4,6,2,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,5,1,4,4,2,4,2,1,2,3,1,6,5,4,5,5,3,5,2,2,4,2,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,5,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,5,1,5,5,1,5,3,2,2,4,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,4,7
+2,4,6,7,7,5,5,7,1,4,6,4,4,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,2,6,4,7,4,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,1,5,6,6,5,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,1,6,7,1,4,6,2,1,2,2,7,7,4,7,5,1,4,1,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,4,2,7,5,5,4,4,3,6,3,6,5,7,5,7,4,6,5,6,4,4,5,1,7,4,5,4,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,2,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+5,1,6,7,7,5,2,7,1,3,6,4,1,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,1,5,1,7,2,1,4,6,3,5,6,4,7,3,4,5,4,6,3,2,5,5,4,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,2,1,2,4,4,2,5,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,2,4,1,2,2,5,2,2,4,5,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,5,1,5,2,1,5,2,2,2,4,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,5,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,3,5,6,4,7,4,1,5,4,6,3,2,5,5,4,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,1,3,2,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,1,2,1,5,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,3,5,4,2,7,5,5,3,4,3,6,3,6,5,7,5,7,4,6,2,6,4,1,5,1,7,4,2,3,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,5,1,5,2,1,5,3,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,1,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
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+5,1,6,7,7,5,5,7,1,1,6,4,1,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,1,6,4,5,6,4,7,4,4,2,4,6,3,2,5,2,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,4,3,3,2,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,4,2,5,5,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,4,4,2,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,4,7,4,2,4,7,2,5,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,4,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,4,7
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+2,4,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,4,7,4,1,5,1,7,2,1,5,6,3,5,6,4,7,4,4,5,4,6,3,2,5,5,2,1,4,5,1,6,4,6,3,5,6,5,1,5,6,6,6,7,1,2,1,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,5,4,6,4,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,1,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,5,4,5,2,2,5,5,2,4,5,3,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,5,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,5,2,2,1,5,7,3,1,4,4,7,5,7,2,6,4,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,4,6,7,7,5,4,7,1,3,6,4,1,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,5,5,4,7,6,6,4,7,4,1,5,1,7,2,1,5,6,4,5,6,4,7,3,4,5,2,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,4,1,3,4,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,5,1,4,3,2,4,2,1,2,3,1,6,2,4,5,1,2,5,2,4,4,5,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,2,1,7,2,5,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,1,2,1,5,5,2,2,4,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,1,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,3,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,5,6,4,5,6,4,7,4,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,2,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,5,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,5,1,4,4,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,2,4,5,4,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,5,2,2,1,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,5,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,5,6,4,7,4,1,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,3,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,1,2,5,5,1,2,4,4,2,5,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,1,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,3,2,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,1,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
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+5,1,6,7,7,5,5,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,2,1,5,6,4,2,6,4,7,3,4,5,4,6,3,2,5,5,4,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,5,6,6,5,4,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,3,2,4,2,1,2,3,1,6,2,4,5,5,2,5,2,2,4,2,4,2,7,5,5,4,3,3,6,3,6,5,7,5,7,4,6,5,6,4,4,5,1,7,4,2,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,5,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,1,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,2,7
+2,1,6,7,7,5,2,7,1,3,6,4,4,5,6,4,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,5,6,4,7,4,4,5,4,6,3,2,5,5,2,1,1,5,1,6,4,6,3,5,6,2,1,5,6,6,6,7,1,2,4,3,2,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,1,4,2,5,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,5,2,7,7,4,7,5,1,4,3,2,4,5,1,2,3,1,6,5,4,5,2,2,5,5,2,2,2,3,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,5,4,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,1,1,7,2,1,5,5,1,5,5,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,1,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,1,4,7,6,4,7
+2,1,6,7,7,5,5,7,1,1,6,4,1,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,1,1,2,7,7,7,5,5,4,7,6,6,1,7,4,1,5,1,7,2,1,5,6,4,5,6,4,7,4,4,2,4,6,3,2,5,2,2,1,1,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,4,1,3,2,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,4,1,5,2,7,7,4,7,2,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,2,5,5,4,4,2,4,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,5,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,1,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
+5,1,6,7,7,5,2,7,1,3,6,4,3,5,6,3,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,5,6,4,5,6,4,7,3,4,2,4,6,3,2,5,2,4,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,4,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,2,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,3,6,2,1,5,2,7,7,4,7,2,1,4,3,2,4,5,1,2,3,1,6,5,4,5,2,2,5,5,2,4,2,4,2,7,5,5,4,4,3,6,3,6,5,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,5,1,5,3,2,2,4,5,7,3,1,3,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,2,6,4,7,3,4,2,4,6,3,2,5,2,4,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,4,3,3,4,6,2,4,2,6,6,5,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,3,3,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,4,2,7,5,5,4,3,3,6,3,6,5,7,5,7,4,6,5,6,4,1,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,5,1,5,3,2,2,1,5,7,3,1,3,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,1,1,4,1,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,4,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,3,4,2,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,1,6,1,6,1,7,1,2,4,4,2,5,5,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,5,1,4,1,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,4,5,4,2,7,5,5,1,4,3,6,3,6,5,7,5,7,4,6,2,6,4,1,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,4,4,6,5,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,3,4,5,4,6,3,2,5,2,2,1,1,5,1,6,4,6,3,5,6,2,1,5,6,6,6,7,1,2,1,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,1,6,1,6,1,7,1,2,4,1,2,5,5,1,2,1,4,2,2,7,4,3,4,6,5,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,1,2,4,5,1,2,3,1,6,2,4,5,2,2,5,2,2,4,2,4,2,7,5,5,4,4,3,6,3,6,5,7,5,7,4,6,5,6,4,1,5,1,7,4,2,4,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,5,1,5,2,1,5,5,2,2,1,5,7,3,1,3,1,7,5,7,2,6,1,1,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,2,3,5,7,4,1,1,4,7,6,2,7
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+2,1,6,7,7,5,2,7,1,3,6,4,1,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,2,1,2,6,4,2,6,4,7,4,4,5,4,6,3,2,5,2,2,1,1,5,1,6,4,6,3,5,6,2,1,5,6,6,6,7,1,2,3,4,4,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,5,1,2,1,4,2,5,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,2,1,4,4,2,4,5,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,3,2,7,5,5,1,3,3,6,3,6,5,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,4,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,5,6,6,6,4,1,5,1,6,6,2,6,4,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,4,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,4,4,2,4,6,3,2,5,5,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,1,7,1,2,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,2,1,2,4,4,2,5,7,4,3,4,6,5,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,2,1,4,1,2,4,2,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,3,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,1,5,1,7,4,2,4,7,4,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,5,1,5,5,1,5,2,2,2,4,5,7,3,1,3,4,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,3,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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+5,1,6,7,7,5,5,7,1,4,6,4,1,5,6,4,4,6,2,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,4,7,4,4,5,1,7,2,1,2,6,3,5,6,4,7,3,4,5,2,6,3,2,2,2,2,1,4,5,1,6,3,6,3,5,6,5,1,5,6,6,6,7,1,2,4,3,2,6,2,1,2,6,6,5,2,1,3,1,4,4,7,1,5,4,6,1,5,7,7,7,2,4,6,1,6,1,7,4,2,4,1,2,5,2,1,2,4,4,2,2,7,4,3,4,6,2,1,5,3,1,3,4,6,4,6,5,6,7,1,4,6,4,1,5,2,7,7,4,7,2,1,4,4,2,4,2,1,2,3,1,6,5,4,5,5,2,5,2,4,4,2,4,2,7,5,5,1,4,3,6,3,6,5,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,5,1,5,5,1,5,5,2,2,4,5,7,3,1,4,4,7,5,7,2,6,1,5,5,7,6,5,4,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
+2,1,6,7,7,5,5,7,1,1,6,4,1,5,6,1,4,6,5,6,6,6,4,1,2,1,6,6,2,6,4,4,6,3,3,5,1,1,2,7,7,7,5,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,4,2,6,4,7,4,1,5,4,6,3,2,5,2,4,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,2,6,2,1,2,6,6,5,2,1,3,1,4,1,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,4,2,5,5,1,2,1,4,2,5,7,4,3,4,6,2,1,5,3,1,4,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,2,1,4,1,2,4,5,1,2,3,1,6,5,4,5,2,2,5,2,2,4,2,4,2,7,5,5,1,4,3,6,3,6,2,7,1,7,4,6,5,6,4,1,5,1,7,4,2,4,7,2,5,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,3,2,2,4,5,7,3,1,4,4,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,2,6,4,6,2,2,5,3,5,7,4,1,4,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,4,6,4,4,5,6,1,4,6,2,6,6,6,4,1,5,1,6,6,2,6,1,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,5,6,4,2,6,4,7,4,4,5,4,6,3,2,5,2,2,1,4,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,3,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,4,5,7,7,7,2,4,6,1,6,1,7,1,2,4,4,2,5,2,1,2,4,4,2,5,7,4,3,4,6,5,1,5,3,1,4,4,6,4,6,5,6,7,1,4,6,4,1,2,2,7,7,4,7,5,1,4,4,2,4,2,1,2,3,1,6,2,4,5,2,2,5,2,4,4,5,3,2,7,5,5,4,4,3,6,3,6,2,7,5,7,4,6,5,6,4,4,1,1,7,4,2,4,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,1,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,1,7,5,7,2,6,4,5,5,7,6,5,1,1,1,7,4,7,3,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
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+2,1,6,7,7,5,5,7,1,3,6,4,1,5,6,4,4,6,2,6,6,6,3,1,2,1,6,6,2,6,1,4,6,3,2,5,1,1,2,7,7,7,2,5,4,7,6,6,1,7,4,4,5,1,7,2,1,2,6,4,5,6,4,7,4,1,5,4,6,3,2,3,5,2,1,1,5,1,6,4,6,3,5,6,5,1,5,6,6,6,7,1,2,3,3,4,6,2,1,5,6,6,2,2,1,3,1,4,1,7,1,5,4,6,1,5,7,7,7,2,1,6,1,6,1,7,4,2,4,4,2,5,5,1,2,1,4,2,2,7,4,3,4,6,2,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,5,2,7,7,4,7,5,1,4,4,2,4,5,1,2,3,1,6,5,4,5,2,2,5,5,4,4,5,4,2,7,5,5,1,3,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,2,6,2,3,7,4,7,5,7,4,1,7,5,1,5,5,1,5,5,2,2,1,5,7,3,1,4,1,7,5,7,2,6,1,5,5,7,6,5,1,1,1,7,4,7,3,1,4,4,1,2,6,3,1,6,6,1,5,6,4,6,2,2,2,3,5,7,4,1,3,4,7,6,2,7
+5,1,6,7,7,5,5,7,1,3,6,4,1,5,6,1,4,6,2,6,6,6,4,1,2,1,6,6,2,6,1,4,6,3,2,5,4,1,2,7,7,7,2,5,4,7,6,6,1,7,4,1,5,1,7,2,1,2,6,3,2,6,4,7,3,4,5,4,6,3,2,5,5,2,1,1,5,1,6,3,6,3,5,6,2,1,5,6,6,6,7,1,2,4,3,4,6,2,1,2,6,6,2,2,1,3,1,4,4,7,1,2,4,6,1,5,7,7,7,2,4,6,1,6,1,7,1,2,4,1,2,5,5,1,2,4,4,2,2,7,4,3,4,6,5,1,5,3,1,3,1,6,4,6,5,6,7,1,4,6,2,1,2,2,7,7,4,7,5,1,4,1,3,4,2,1,2,3,1,6,2,4,5,5,2,5,2,2,4,2,4,2,7,5,5,1,4,3,6,3,6,2,7,5,7,4,6,2,6,4,4,5,1,7,4,2,1,7,2,2,4,1,6,7,5,5,6,2,3,7,4,7,5,7,4,1,7,2,1,5,2,1,5,2,2,2,1,5,7,3,1,4,4,7,5,7,2,6,1,1,5,7,6,5,4,1,1,7,4,7,1,1,4,1,1,2,6,3,1,6,6,1,5,6,4,6,2,2,5,3,5,7,4,1,3,4,7,6,2,7
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diff --git a/model_assignments/bf_ps/1236/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1236/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..0613c275cb61859009ca48d970ac8e5845058294
--- /dev/null
+++ b/model_assignments/bf_ps/1236/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1236/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1236/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1ce70cc3d58e6a16aa43289b954472734fe01f44
--- /dev/null
+++ b/model_assignments/bf_ps/1236/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1236/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1236/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b7597d811988824315b4940ef9578935c7fd46d5
--- /dev/null
+++ b/model_assignments/bf_ps/1236/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1238/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1238/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..7ab30bc53d5b218ccee6897dc4320accb46aca15
--- /dev/null
+++ b/model_assignments/bf_ps/1238/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1238/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1238/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..57f198df63c72bca926389efec270ab4042dd8fe
--- /dev/null
+++ b/model_assignments/bf_ps/1238/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1238/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1238/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ce941feec8209e2516eef4fb59c3578414185315
--- /dev/null
+++ b/model_assignments/bf_ps/1238/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1238/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1238/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6770cdfc468df5278693b0eeeb4137c23710b053
--- /dev/null
+++ b/model_assignments/bf_ps/1238/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1238/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1238/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..5777b55e253c8401cd1b7c01bdf07cd98ed6836b
--- /dev/null
+++ b/model_assignments/bf_ps/1238/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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+2,2,5,3,5,4,2,2,4,4,4,1,5,3,5,1,7,2,7,1,1,1,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,5,1,5,3,5,2,1,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,4,7,2,7,1,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,2,2,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,1,6,1,1,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,5,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,3,1,4,5,2,5,1,6,7,2,4,7,1,3,4,1,6,5,4,1,1,6,2,6,1,4,3,4,4,2,5,7,7,7,5,4
+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,2,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,4,7,2,7,1,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,2,5,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,1,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,4,6,7,2,4,7,1,3,4,4,6,5,4,1,1,6,2,6,1,4,3,1,4,3,5,7,7,7,5,1
+2,2,5,3,5,4,5,2,4,1,4,1,5,3,5,1,7,2,7,1,1,1,1,1,4,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,1,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,3,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,4,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,1,1,3,3,1,6,1,6,5,5,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,1,6,2,4,6,5,1,7,6,2,6,2,7,3,6,1,5,1,6,4,5,1,4,4,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,3,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,4,5,7,1,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,1,6,7,2,4,7,4,3,4,4,6,5,1,1,1,6,2,6,4,4,3,4,4,4,4,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,1,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,3,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,1,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,4,2,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,1,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,1,4,3,1,4,2,5,7,7,7,5,4
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+5,2,5,3,5,4,5,2,4,4,4,1,5,4,5,1,7,2,7,1,1,1,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,4,2,1,1,1,3,1,6,4,6,5,2,4,2,6,2,2,2,2,6,3,4,7,4,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,1,4,4,1,7,2,1,6,2,1,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,5,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,4,5,7,1,5,1,7,6,4,1,5,4,2,7,3,1,1,4,5,2,5,4,6,7,2,4,7,1,3,4,1,6,5,4,1,1,6,2,6,4,4,3,4,4,2,5,7,7,7,5,1
+5,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,5,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,4,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,4,1,6,1,6,5,5,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,1,6,5,4,7,6,2,6,2,7,3,6,4,5,4,6,4,5,1,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,5,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,1,6,7,5,4,7,1,3,4,1,6,5,1,1,1,6,2,6,1,4,3,4,4,2,1,7,7,7,5,4
+2,2,5,3,5,4,2,2,4,4,4,1,2,4,5,1,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,3,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,4,4,4,7,6,4,5,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,4,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,1,1,3,3,1,6,1,6,5,5,4,2,6,2,2,2,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,4,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,1,3,7,1,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,1,5,4,2,7,3,1,1,4,5,2,5,1,6,7,2,4,7,4,3,4,1,6,5,1,1,1,6,2,6,4,4,3,3,4,2,4,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,4,2,1,1,3,3,1,6,4,6,5,5,4,2,6,2,4,5,2,6,3,4,7,4,1,6,2,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,4,6,2,4,6,5,4,7,6,2,6,2,7,3,6,4,5,1,6,4,5,1,4,2,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,1,5,7,1,5,1,7,6,4,4,5,4,2,7,3,4,1,4,5,2,5,1,6,7,5,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,4,4,4,2,5,7,7,7,5,1
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+5,2,5,3,5,4,2,2,4,1,4,1,5,4,5,1,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,5,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,2,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,5,2,6,3,4,7,1,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,5,4,7,4,3,4,4,6,5,1,1,1,6,2,6,4,4,3,4,4,2,5,7,7,7,5,4
+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,1,5,4,5,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,2,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,4,2,1,1,3,3,1,6,4,6,5,5,4,2,6,2,2,2,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,4,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,1,3,7,1,4,7,3,7,4,6,7,4,2,2,6,6,6,6,2,6,7,1,5,7,1,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,4,6,7,5,4,7,1,3,4,1,6,5,1,1,1,6,2,6,1,4,4,1,4,2,5,7,7,7,5,4
+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,3,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,2,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,5,7,3,4,1,4,5,2,5,1,6,7,2,4,7,4,3,4,4,6,5,1,1,1,6,2,6,4,4,3,4,4,2,4,7,7,7,5,1
+5,2,5,3,5,4,2,2,4,4,4,1,5,3,5,1,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,4,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,2,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,1,6,2,1,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,3,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,4,6,7,4,2,2,6,6,6,6,5,6,7,4,5,7,1,5,1,7,6,4,1,5,4,5,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,4,6,5,1,1,1,6,2,6,1,4,3,1,4,2,1,7,7,7,5,4
+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,4,7,2,7,4,2,4,1,3,3,1,6,1,6,5,5,4,2,6,2,4,2,2,6,3,2,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,1,4,4,1,7,2,4,6,2,1,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,5,6,7,1,5,7,4,5,1,7,6,4,1,5,4,2,7,3,1,1,4,2,2,5,4,6,7,5,4,7,4,3,4,4,6,5,1,1,1,6,2,6,4,4,3,4,4,2,4,7,7,7,5,4
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+2,2,5,3,5,4,5,2,4,1,4,1,5,3,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,1,4,4,7,6,4,5,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,2,4,4,4,1,7,2,4,6,2,1,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,5,2,5,4,6,7,2,4,7,1,3,4,1,6,5,4,1,1,6,2,6,4,4,3,4,4,2,1,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,5,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,4,7,2,7,4,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,2,2,6,3,4,7,1,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,1,6,2,1,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,1,6,7,2,4,7,4,3,4,4,6,5,1,1,1,6,2,6,1,4,4,4,4,2,1,7,7,7,5,4
+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,1,7,2,7,1,1,1,1,1,3,6,4,4,5,4,5,5,4,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,2,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,5,2,6,4,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,3,6,2,1,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,4,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,2,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,4,5,4,5,7,3,4,1,4,2,2,5,4,6,7,2,3,7,1,3,4,4,6,5,1,1,1,6,2,6,4,4,3,4,4,2,4,7,7,7,5,4
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+5,2,5,3,5,4,2,2,4,1,4,1,5,3,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,3,5,5,4,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,3,7,7,2,4,4,4,4,7,2,4,6,2,4,6,1,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,1,4,2,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,1,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,1,4,3,1,4,2,4,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,2,3,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,1,7,2,1,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,4,4,5,4,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,4,6,7,4,5,4,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,5,2,5,4,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,3,4,4,2,5,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,5,3,5,4,7,2,7,1,1,1,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,3,1,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,1,4,4,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,1,7,2,7,1,4,1,1,3,3,1,6,4,6,5,5,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,4,7,2,4,6,2,4,6,5,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,1,1,4,2,2,5,4,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,1,4,3,1,4,2,4,7,7,7,5,4
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+5,2,5,3,5,4,2,2,4,1,4,1,5,4,5,1,7,2,7,1,1,4,1,1,3,6,4,1,5,4,5,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,4,2,3,6,4,3,2,2,6,5,4,7,5,3,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,3,1,6,1,6,5,5,4,2,6,2,4,5,2,6,3,4,7,4,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,4,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,4,6,7,4,5,4,6,6,6,6,5,6,7,4,5,7,4,5,1,7,6,4,4,5,4,5,7,3,4,1,4,2,2,5,4,6,7,5,4,7,4,3,4,1,6,5,4,1,1,6,2,6,1,4,3,1,4,2,1,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,1,7,2,7,4,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,2,2,6,3,2,7,4,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,1,7,2,3,6,2,1,6,5,4,7,6,2,6,2,7,3,6,4,5,1,6,4,5,4,4,4,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,5,6,7,4,5,7,4,5,1,7,6,4,1,5,4,5,7,3,4,1,4,2,2,5,4,6,7,5,4,7,4,3,4,1,6,5,4,1,1,6,2,6,4,4,3,1,4,2,5,7,7,7,5,1
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+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,1,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,2,4,4,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,5,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,1,4,2,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,3,7,1,2,5,1,7,2,7,1,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,1,6,2,4,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,5,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,5,7,3,1,1,4,2,2,5,1,6,7,2,4,7,1,3,4,1,6,5,4,1,1,6,2,6,1,4,3,1,4,2,1,7,7,7,5,4
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+5,2,5,3,5,4,5,2,4,4,4,1,5,3,5,1,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,4,4,4,7,6,4,5,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,4,4,4,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,1,2,1,1,3,3,1,6,4,6,5,5,4,2,6,2,4,1,2,6,3,4,7,3,1,6,2,5,4,5,5,4,6,1,5,6,4,1,7,7,4,4,4,4,1,7,2,1,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,2,5,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,5,7,3,4,1,4,2,2,5,1,6,7,5,4,7,4,3,4,4,6,5,1,1,1,6,2,6,4,4,3,4,4,2,1,7,7,7,5,1
+5,2,5,3,5,4,5,2,4,4,4,1,5,4,5,1,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,3,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,3,1,6,4,6,5,5,4,2,6,2,4,2,2,6,3,4,7,4,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,4,6,2,4,6,5,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,3,6,7,4,2,4,6,6,6,6,5,6,7,4,5,7,1,5,1,7,6,4,1,5,4,2,7,3,4,1,4,5,2,5,4,6,7,5,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,4,4,4,2,1,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,1,4,1,5,3,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,5,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,3,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,4,3,6,2,1,1,5,7,3,7,1,2,5,3,7,2,7,1,2,1,1,3,3,1,6,4,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,1,4,4,1,7,2,1,6,2,4,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,5,4,5,1,4,6,6,6,7,7,2,3,5,6,3,6,7,2,2,1,7,1,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,5,7,3,1,1,4,2,2,5,1,6,7,2,3,7,1,3,4,4,6,5,1,1,1,6,2,6,1,4,3,1,4,2,2,7,7,7,5,1
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+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,2,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,3,7,1,2,5,3,7,2,7,4,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,4,6,2,4,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,1,5,7,1,5,1,7,6,4,1,5,4,2,7,3,1,1,4,2,2,5,1,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,3,1,4,2,5,7,7,7,5,1
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+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,2,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,1,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,1,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,1,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,2,2,2,6,3,4,7,1,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,1,6,5,4,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,1,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,1,1,7,1,5,1,7,6,4,4,5,4,5,7,3,1,1,4,5,2,5,4,6,7,2,4,7,4,3,4,1,6,5,1,1,1,6,2,6,4,4,3,4,4,2,3,7,7,7,5,1
+5,2,5,3,5,4,2,2,4,4,4,4,2,4,5,1,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,2,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,4,2,1,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,1,4,4,4,7,2,4,6,2,4,6,5,4,7,6,2,6,3,7,3,6,4,5,1,6,4,5,3,4,4,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,4,6,7,4,2,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,4,4,1,4,2,2,5,4,6,7,5,4,7,1,3,4,4,6,5,4,1,1,6,2,6,1,4,3,4,4,2,4,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,1,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,1,5,4,5,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,4,4,2,6,1,6,7,4,4,3,1,2,3,6,3,4,1,5,7,4,7,1,2,5,3,7,2,7,1,2,4,1,1,3,1,6,1,6,5,5,4,2,6,2,2,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,4,7,2,4,6,2,4,6,5,1,7,6,2,6,2,7,3,6,4,5,1,6,4,5,1,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,1,3,4,4,6,5,4,1,1,6,2,6,4,3,4,1,4,2,1,7,7,7,5,1
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+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,1,4,4,7,6,4,5,1,5,3,5,2,1,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,4,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,1,6,2,4,6,5,1,7,6,2,6,2,7,3,6,4,5,1,6,4,5,4,4,2,5,4,5,1,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,1,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,4,6,7,5,4,7,4,3,4,1,6,5,4,1,1,6,2,6,4,4,4,1,4,2,5,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,5,3,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,2,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,2,2,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,1,6,2,4,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,5,2,5,1,6,7,2,4,7,4,3,4,4,6,5,1,1,1,6,2,6,1,4,3,1,4,2,5,7,7,7,5,4
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+5,2,5,3,5,4,5,2,4,4,4,1,3,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,2,5,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,1,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,5,4,7,4,3,4,4,6,5,1,1,1,6,2,6,1,4,3,1,4,2,5,7,7,7,5,1
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+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,4,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,4,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,4,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,3,4,4,2,5,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,2,4,5,1,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,4,5,4,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,1,7,2,4,6,2,1,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,1,4,4,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,5,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,5,2,5,1,6,7,2,4,7,4,3,4,1,6,5,1,1,1,6,2,6,1,4,3,4,4,2,5,7,7,7,5,4
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+2,4,5,3,5,4,2,2,4,1,4,1,5,3,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,1,2,5,3,7,2,7,4,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,3,7,7,2,1,4,4,4,7,2,1,6,2,1,6,5,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,1,3,4,4,6,5,4,1,1,6,2,6,4,4,4,1,4,2,5,7,7,7,5,4
+2,2,5,3,5,4,5,2,4,1,4,1,4,4,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,3,5,2,3,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,4,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,4,1,3,3,1,6,4,6,5,5,4,2,6,2,2,2,2,6,3,4,7,1,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,1,7,2,4,6,2,1,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,4,5,4,5,1,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,1,5,7,1,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,5,4,7,1,3,4,4,6,5,4,1,1,6,2,6,1,4,3,1,4,2,4,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,5,3,5,1,7,2,7,1,1,1,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,3,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,3,7,1,2,5,1,7,2,7,4,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,2,2,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,2,1,4,4,4,7,2,4,6,2,4,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,5,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,1,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,4,6,7,2,4,7,1,3,4,1,6,5,1,1,1,6,2,6,1,4,3,1,4,2,5,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,1,4,1,5,4,5,1,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,5,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,1,7,2,7,4,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,2,2,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,1,6,1,4,7,6,2,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,3,6,7,4,2,2,6,6,6,6,2,6,7,4,5,7,1,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,5,4,7,1,3,4,4,6,5,1,1,1,6,2,6,4,4,4,4,4,2,5,7,7,7,5,1
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+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,1,7,2,7,1,1,1,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,3,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,4,1,6,5,5,4,5,5,4,6,1,5,6,2,3,7,7,4,4,4,4,1,7,2,1,6,2,4,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,3,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,4,5,7,1,5,1,7,6,4,4,5,4,5,7,3,4,1,4,5,2,5,4,6,7,2,4,7,4,3,4,1,6,5,4,1,1,6,2,6,4,4,3,4,4,2,3,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,2,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,4,4,4,7,6,4,5,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,3,7,1,2,5,4,7,2,7,4,2,4,1,3,3,1,6,1,6,5,5,4,2,6,2,4,5,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,1,6,4,4,6,5,1,7,6,5,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,1,5,7,1,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,1,6,7,5,4,7,1,3,4,1,6,5,4,1,1,6,2,6,1,4,3,4,4,2,4,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,1,4,1,5,3,5,1,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,4,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,5,2,6,3,4,7,3,1,6,2,5,4,5,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,4,6,2,4,6,1,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,1,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,4,6,7,4,2,2,6,6,6,6,5,6,7,1,5,7,1,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,4,6,7,2,3,7,4,3,4,1,6,5,4,1,1,6,2,6,4,4,3,1,4,2,1,7,7,7,5,1
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+5,2,5,3,5,4,5,2,4,1,4,1,5,4,5,4,7,3,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,3,3,6,2,4,1,5,7,3,7,1,2,5,1,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,2,2,2,6,3,2,7,4,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,2,4,4,4,4,7,2,1,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,5,4,5,1,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,5,7,3,4,1,4,5,2,5,1,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,3,1,4,2,4,7,7,7,5,4
+2,2,5,3,5,4,2,2,4,4,4,1,2,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,2,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,4,4,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,3,2,2,6,3,4,7,1,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,4,6,2,1,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,3,5,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,1,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,1,4,4,1,4,2,5,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,1,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,4,1,2,3,6,2,4,1,5,7,3,7,1,2,5,4,7,2,7,1,2,4,1,3,3,1,6,4,6,5,5,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,4,6,2,4,6,1,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,1,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,3,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,1,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,1,6,5,1,1,1,6,2,6,4,4,3,4,4,2,1,7,7,7,5,1
+5,2,5,3,5,4,5,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,4,2,1,1,3,3,1,6,4,6,5,5,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,3,7,7,2,4,4,4,4,7,2,1,6,2,4,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,4,6,7,2,4,7,4,3,4,4,6,5,4,1,1,6,2,6,4,4,3,4,4,2,1,7,7,7,5,1
+2,2,5,3,5,4,5,2,4,4,4,1,5,3,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,4,2,1,1,4,4,7,6,4,5,1,5,3,5,2,4,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,1,1,5,7,4,7,1,2,5,3,7,2,7,4,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,2,2,2,6,3,4,7,1,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,1,4,4,4,7,2,1,6,2,1,6,5,4,7,6,2,6,2,7,3,6,4,5,1,6,4,5,1,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,1,5,7,1,5,1,7,6,4,4,5,4,5,7,3,1,1,4,2,2,5,4,6,7,5,4,7,4,3,4,1,6,5,1,1,1,6,2,6,4,4,3,4,4,2,4,7,7,7,5,4
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+2,2,5,3,5,4,5,2,4,4,4,1,5,4,5,1,7,2,7,1,1,4,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,4,6,1,6,7,4,1,1,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,4,1,3,3,1,6,1,6,5,2,4,2,6,2,4,5,2,6,3,4,7,4,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,2,1,6,1,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,5,1,7,1,3,7,4,4,7,3,7,3,6,7,4,4,4,6,6,6,6,2,6,7,1,1,7,1,5,1,7,6,4,1,5,4,2,7,3,1,1,4,2,2,5,1,6,7,2,4,7,1,3,4,4,6,5,1,1,1,6,2,6,4,4,3,1,4,4,4,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,3,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,3,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,1,7,3,7,4,2,5,4,7,2,7,4,2,4,1,3,3,1,6,4,6,5,3,4,2,6,2,4,2,2,6,3,4,7,1,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,4,6,2,1,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,5,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,2,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,1,5,4,2,7,3,1,1,4,5,2,5,1,6,7,2,4,7,1,3,4,1,6,5,1,1,1,6,2,6,4,4,3,4,4,2,5,7,7,7,5,4
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+2,2,5,3,5,4,2,2,4,4,4,1,1,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,1,2,1,4,4,4,7,6,4,2,1,5,3,5,2,3,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,4,2,5,3,7,2,7,1,2,1,1,3,3,1,6,1,6,5,2,4,2,6,2,3,2,2,6,3,4,7,3,1,6,5,5,4,5,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,4,6,2,4,6,1,1,7,6,2,6,2,7,3,6,4,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,4,2,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,1,6,5,1,1,1,6,2,6,1,4,4,1,4,3,4,7,7,7,5,1
+2,2,5,3,5,4,5,2,4,1,4,1,2,3,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,1,4,4,7,6,4,2,1,5,4,5,2,4,2,3,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,3,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,3,3,6,2,1,1,5,7,4,7,4,2,5,1,7,3,7,1,2,1,1,3,3,1,6,4,6,5,2,4,2,6,2,3,5,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,1,6,2,1,6,5,4,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,4,5,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,2,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,1,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,1,3,4,4,6,5,1,1,1,6,2,6,4,4,4,1,4,2,5,7,7,7,5,1
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+5,2,5,3,5,4,5,2,4,1,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,3,1,1,4,4,7,6,4,2,1,5,3,5,2,1,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,1,2,1,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,2,4,4,4,4,7,2,1,6,2,4,6,5,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,1,4,6,6,6,7,7,2,4,5,6,2,6,7,2,2,1,7,4,3,7,1,4,7,3,7,3,6,7,4,5,4,6,6,6,6,2,6,7,4,5,7,1,5,1,7,6,4,1,5,4,2,7,3,1,1,4,2,2,5,4,6,7,5,4,7,1,3,4,1,6,5,1,1,1,6,2,6,1,4,3,1,4,2,1,7,7,7,5,4
+2,2,5,3,5,4,2,2,3,4,4,1,2,3,5,1,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,5,7,6,7,1,1,3,2,4,6,5,6,1,2,4,1,2,1,4,4,4,7,6,4,5,1,5,3,5,2,3,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,1,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,1,2,5,3,7,2,7,1,2,4,1,3,3,1,6,1,6,5,5,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,2,1,4,4,1,7,2,4,6,2,1,6,5,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,4,2,4,5,1,4,6,6,6,7,7,2,3,5,6,2,6,7,2,5,1,7,4,3,7,4,4,7,3,7,3,6,7,4,5,4,6,6,6,6,5,6,7,1,5,7,1,5,1,7,6,4,4,5,4,2,7,3,4,1,4,5,2,5,4,6,7,5,4,7,1,3,4,4,6,5,4,1,1,6,2,6,1,4,3,4,4,2,4,7,7,7,5,1
+2,2,5,3,5,4,2,2,4,1,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,1,5,4,2,5,2,6,6,7,6,2,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,4,2,2,4,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,4,1,3,3,1,6,4,6,5,2,4,2,6,2,4,2,2,6,3,4,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,4,7,2,4,6,4,4,6,5,4,7,6,2,6,2,7,3,6,1,5,1,6,4,5,4,4,2,2,4,5,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,1,3,7,4,4,7,3,7,3,6,7,4,2,2,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,1,5,4,5,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,4,6,5,1,1,1,6,2,6,1,4,4,4,4,2,4,7,7,7,5,1
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+2,2,5,3,5,4,2,2,4,4,4,1,5,4,5,4,7,2,7,1,1,1,1,1,3,6,4,4,5,4,2,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,2,1,5,3,5,2,4,2,2,3,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,2,1,5,7,4,5,7,6,5,7,7,1,1,4,3,6,1,6,7,4,4,3,1,2,3,6,2,4,1,5,7,3,7,4,2,5,3,7,2,7,4,2,1,1,3,3,1,6,4,6,5,5,4,2,6,2,4,5,2,6,3,4,7,3,1,6,2,5,4,2,5,4,6,1,5,6,2,1,7,7,4,4,4,4,1,7,2,4,6,2,1,6,5,4,7,6,5,6,4,7,3,6,4,5,1,6,4,5,4,4,4,2,4,5,4,3,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,4,5,7,4,5,1,7,6,4,4,5,4,2,7,3,4,1,4,2,2,5,4,6,7,2,4,7,4,3,4,1,6,5,4,1,1,6,2,6,1,4,4,4,4,2,1,7,7,7,5,1
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+2,4,5,3,5,4,2,2,4,1,4,1,5,4,5,4,7,2,7,1,1,4,1,1,3,6,4,4,5,4,5,5,2,6,6,7,6,4,4,2,7,6,7,1,1,3,2,4,6,5,6,4,2,4,4,2,1,4,4,4,7,6,4,5,1,5,3,5,2,1,2,2,1,6,4,3,2,2,6,5,4,7,5,1,7,5,2,6,6,7,4,6,2,7,7,2,5,1,5,7,4,5,7,6,5,7,7,1,4,4,3,6,1,6,7,4,1,3,1,2,3,6,2,1,1,5,7,3,7,3,2,5,3,7,2,7,1,2,4,1,3,3,1,6,4,6,5,5,4,2,6,2,4,5,2,6,3,2,7,3,1,6,5,5,4,2,5,4,6,1,5,6,2,1,7,7,4,1,4,4,4,7,2,1,6,2,4,6,5,1,7,6,5,6,2,7,3,6,4,5,1,6,4,5,4,4,2,5,4,1,4,4,6,6,6,7,7,2,3,2,6,2,6,7,2,2,1,7,4,3,7,4,4,7,3,7,3,6,7,4,2,4,6,6,6,6,2,6,7,1,5,7,4,5,1,7,6,4,4,5,4,2,7,3,1,1,4,2,2,5,4,6,7,5,4,7,1,3,4,4,6,5,1,1,1,6,2,6,1,4,3,4,4,2,3,7,7,7,5,1
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diff --git a/model_assignments/bf_ps/1238/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1238/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..bec9a15a0db55488120401f058d01ff5311226dc
--- /dev/null
+++ b/model_assignments/bf_ps/1238/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1238/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1238/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..71d100c8e5b63ecde1740dedac58669a09d5db93
--- /dev/null
+++ b/model_assignments/bf_ps/1238/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1238/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1238/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..daf6912ae3a7fb2163e83b25f6d4f654e60b832f
--- /dev/null
+++ b/model_assignments/bf_ps/1238/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1240/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1240/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ba79df14532f68676b2e7c7578c10be8e14e46e3
--- /dev/null
+++ b/model_assignments/bf_ps/1240/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1240/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1240/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..90ceeade64e54209bf667ff86361c18ae84069de
--- /dev/null
+++ b/model_assignments/bf_ps/1240/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1240/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1240/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3bb583f6a26e4aae17fa36bb561b238ccd88e357
--- /dev/null
+++ b/model_assignments/bf_ps/1240/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1240/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1240/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..cce0d06071a9fe220fb3dcaed9b1f7b6b7ec4575
--- /dev/null
+++ b/model_assignments/bf_ps/1240/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1240/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1240/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c5c2a40b86b61fe139867d1046b8ba37c2f0d866
--- /dev/null
+++ b/model_assignments/bf_ps/1240/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1240/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1240/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..54ff2de1f313505a3f0c890d67dce119aa7cb8af
--- /dev/null
+++ b/model_assignments/bf_ps/1240/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1240/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1240/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..45a5e4638ec358d954c06cd073b39b08f37d57af
--- /dev/null
+++ b/model_assignments/bf_ps/1240/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]","strat[151]","strat[152]","strat[153]","strat[154]","strat[155]","strat[156]","strat[157]","strat[158]","strat[159]","strat[160]","strat[161]","strat[162]","strat[163]","strat[164]","strat[165]","strat[166]","strat[167]","strat[168]","strat[169]","strat[170]","strat[171]","strat[172]","strat[173]","strat[174]","strat[175]","strat[176]","strat[177]","strat[178]","strat[179]","strat[180]","strat[181]","strat[182]","strat[183]","strat[184]","strat[185]","strat[186]","strat[187]","strat[188]","strat[189]","strat[190]","strat[191]","strat[192]","strat[193]","strat[194]","strat[195]","strat[196]","strat[197]","strat[198]","strat[199]","strat[200]","strat[201]","strat[202]","strat[203]","strat[204]","strat[205]","strat[206]","strat[207]","strat[208]","strat[209]","strat[210]","strat[211]","strat[212]","strat[213]","strat[214]","strat[215]","strat[216]","strat[217]","strat[218]","strat[219]","strat[220]","strat[221]","strat[222]","strat[223]","strat[224]","strat[225]","strat[226]","strat[227]","strat[228]","strat[229]","strat[230]","strat[231]","strat[232]","strat[233]","strat[234]","strat[235]","strat[236]","strat[237]","strat[238]","strat[239]","strat[240]","strat[241]","strat[242]","strat[243]","strat[244]","strat[245]","strat[246]","strat[247]","strat[248]","strat[249]","strat[250]","strat[251]","strat[252]","strat[253]","strat[254]","strat[255]","strat[256]","strat[257]","strat[258]","strat[259]","strat[260]","strat[261]","strat[262]","strat[263]","strat[264]","strat[265]","strat[266]","strat[267]","strat[268]","strat[269]","strat[270]","strat[271]","strat[272]","strat[273]","strat[274]","strat[275]","strat[276]","strat[277]","strat[278]","strat[279]","strat[280]","strat[281]","strat[282]","strat[283]","strat[284]","strat[285]","strat[286]","strat[287]","strat[288]","strat[289]","strat[290]","strat[291]","strat[292]","strat[293]","strat[294]","strat[295]","strat[296]","strat[297]","strat[298]","strat[299]","strat[300]"
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diff --git a/model_assignments/bf_ps/1240/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1240/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1d25dc8ed77cd52f4d0fdc05ea99a72f259eac01
--- /dev/null
+++ b/model_assignments/bf_ps/1240/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1247/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1247/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a17d2f29f54cc7e4c189c1ac8ceff10797d43be9
--- /dev/null
+++ b/model_assignments/bf_ps/1247/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1247/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1247/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..0728cffa9d8f8fa2a3409c39967fe509211e0d64
--- /dev/null
+++ b/model_assignments/bf_ps/1247/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1247/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1247/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6d72cb0979072b7bf0b2952b0b6404b514daa2f2
--- /dev/null
+++ b/model_assignments/bf_ps/1247/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1247/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1247/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c4df75ad1a5c9652b14274a1ca1b65fcf51e0d33
--- /dev/null
+++ b/model_assignments/bf_ps/1247/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1247/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1247/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3c398099f7e411f76864790f01a84e6132841863
--- /dev/null
+++ b/model_assignments/bf_ps/1247/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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+1,1,2,5,5,6,3,6,4,7,3,6,2,1,4,1,1,1,2,4,6,7,6,4,4,3,2,6,4,6,5,1,4,5,4,7,4,6,2,6,1,2,5,1,4,1,4,4,1,4,7,2,4,5,2,6,5,5,7,6,4,4,4,7,4,4,1,7,4,1,5,4,7,3,2,3,2,6,6,3,5,6,4,1,7,6,1,4,4,6,3,4,4,7,2,1,2,2,1,7,5,5,1,5,1,6,6,2,1,6,2,2,5,6,2,4,4,1,2,6,1,7,3,5,4,7,7,2,5,6,6,5,3,2,1,3,7,2,2,4,7,7,7,5,6,5,1,7,4,5,6,6,1,6,1,6,4,5,7,3,4,1,4,7,6,2,5,5,3,1,2,6,4,6,4,5,2,5,1,2,1,7,7,2,7,2,5,6,7,7,2,7,4,4,6,7,4,4,5,4,5,7,1,4,5,5,1,3,7,7,7,7,7,6,4,6,1,7,6,7,1,5,4,5,4,4,1,7,7,2,6,5,6,1,6,6,3,3,5,5,4,4,1,5,3,4,3,1,2,7,5,6,4,4,5,2,2,4,1,2,1,5,1,6,6,4,7,7,1,2,7,2,4,3,5,1,2,1,4,4,3,1,3,3,3,3,6,5,4,3,6,7,1,1,6,3,1,2,7,7
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diff --git a/model_assignments/bf_ps/1247/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1247/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..bfd037ddbb3b8d76102f0b012641d197d6e2bd82
--- /dev/null
+++ b/model_assignments/bf_ps/1247/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1247/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1247/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3589d9869ad5e9708fd6a2df75d2ec1eabf4b2cc
--- /dev/null
+++ b/model_assignments/bf_ps/1247/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1247/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1247/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c95c84211e471893489f390a88ed0be60baf8e57
--- /dev/null
+++ b/model_assignments/bf_ps/1247/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1262/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1262/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..9ee06ea0519dc0d7ff61a2a1d7dd42c7cd373121
--- /dev/null
+++ b/model_assignments/bf_ps/1262/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1262/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1262/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c30474d3f40f463e8a6e9f938d78a013835d5a1d
--- /dev/null
+++ b/model_assignments/bf_ps/1262/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1262/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1262/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3a7d9d31d913e5ba458d1fdef4a66174220dbbdf
--- /dev/null
+++ b/model_assignments/bf_ps/1262/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1262/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1262/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..dfd5524dfd62e5edd2c5a1d44adb298a30022e63
--- /dev/null
+++ b/model_assignments/bf_ps/1262/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1262/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1262/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b7401ccb9e779fddd782440055cc4a88e6e3cc8e
--- /dev/null
+++ b/model_assignments/bf_ps/1262/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1262/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1262/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..89d14471159b426ece21ce4d9f813c25237e2f40
--- /dev/null
+++ b/model_assignments/bf_ps/1262/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1262/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1262/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f1ee4f6217d71bef4f9ff8ce6cd5eb3bb8876fa7
--- /dev/null
+++ b/model_assignments/bf_ps/1262/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]","strat[151]","strat[152]","strat[153]","strat[154]","strat[155]","strat[156]","strat[157]","strat[158]","strat[159]","strat[160]","strat[161]","strat[162]","strat[163]","strat[164]","strat[165]","strat[166]","strat[167]","strat[168]","strat[169]","strat[170]","strat[171]","strat[172]","strat[173]","strat[174]","strat[175]","strat[176]","strat[177]","strat[178]","strat[179]","strat[180]","strat[181]","strat[182]","strat[183]","strat[184]","strat[185]","strat[186]","strat[187]","strat[188]","strat[189]","strat[190]","strat[191]","strat[192]","strat[193]","strat[194]","strat[195]","strat[196]","strat[197]","strat[198]","strat[199]","strat[200]","strat[201]","strat[202]","strat[203]","strat[204]","strat[205]","strat[206]","strat[207]","strat[208]","strat[209]","strat[210]","strat[211]","strat[212]","strat[213]","strat[214]","strat[215]","strat[216]","strat[217]","strat[218]","strat[219]","strat[220]","strat[221]","strat[222]","strat[223]","strat[224]","strat[225]","strat[226]","strat[227]","strat[228]","strat[229]","strat[230]","strat[231]","strat[232]","strat[233]","strat[234]","strat[235]","strat[236]","strat[237]","strat[238]","strat[239]","strat[240]","strat[241]","strat[242]","strat[243]","strat[244]","strat[245]","strat[246]","strat[247]","strat[248]","strat[249]","strat[250]","strat[251]","strat[252]","strat[253]","strat[254]","strat[255]","strat[256]","strat[257]","strat[258]","strat[259]","strat[260]","strat[261]","strat[262]","strat[263]","strat[264]","strat[265]","strat[266]","strat[267]","strat[268]","strat[269]","strat[270]","strat[271]","strat[272]","strat[273]","strat[274]","strat[275]","strat[276]","strat[277]","strat[278]","strat[279]","strat[280]","strat[281]","strat[282]","strat[283]","strat[284]","strat[285]","strat[286]","strat[287]","strat[288]","strat[289]","strat[290]","strat[291]","strat[292]","strat[293]","strat[294]","strat[295]","strat[296]","strat[297]","strat[298]","strat[299]","strat[300]"
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,5,6,2,1,4,2,5,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,3,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,1,4,4,4,3,6,2,7,2,4,3,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,3,5,5,3,3,2,5,4,4,2,7,2,1,6,4,3,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,1,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,4,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,1,1,7,1,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,5,3,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,3,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,4,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,1,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,3,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,3,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,3,5,7,2,1,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,3,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,3,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,1,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,3,1,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,3,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,3,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,3,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,1,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,4,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,5,7,7,3,6,3,7,4,4,4,4,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,1,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,3,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,3,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,4,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,4,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,4,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,1,4,4,4,3,6,2,7,2,1,3,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,3,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,3,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,3,1,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,1,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,5,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,4,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,4,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,3,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,3,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,4,4,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,3,4,5,6,2,3,4,2,5,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,5,4,6,7,7,5,4,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,1,5,5,3,3,2,5,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,1,5,6,2,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,5,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,3,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,4,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,3,4,5,4,5,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,1,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,1,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,4,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,1,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,3,4,5,7,1,1,5,4,3,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,3,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,3,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,1,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,3,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,4,3,3,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,4,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,4,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,1,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,4,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,1,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,5,7,2,4,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,4,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,3,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,3,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,3,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,3,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,1,4,2,5,5,6,1,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,3,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,1,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,4,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,4,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,4,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,1,3,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,5,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,4,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,4,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,3,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,3,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,3,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,3,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,3,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,1,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,4,4,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,4,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,3,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,4,5,6,5,5,4,5,4,4,2,3,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,3,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,5,4,4,5,7,2,1,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,1,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,3,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,1,5,6,2,1,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,1,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,4,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,3,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,1,3,7,3,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,1,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,3,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,1,5,4,2,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,5,7,3,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,1,1,7,4,2,7
+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,3,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,3,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,1,1,7,4,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,3,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,3,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,4,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,4,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,4,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,4,4,4,4,4,3,6,2,7,2,4,3,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,3,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,4,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,4,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,5,5,6,5,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,3,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,4,4,4,4,4,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,1,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,4,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,3,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,3,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,3,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,4,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,5,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,3,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,3,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,4,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,1,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,4,7
+5,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,5,3,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,3,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,1,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,4,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,4,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,1,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,5,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,4,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,1,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,5,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,1,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,4,5,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,3,4,5,4,2,6,2,1,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,2,7,2,1,3,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,4,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,1,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,3,5,5,3,3,2,2,4,3,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,3,2,7,7,4,4,5,1,4,1,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,1,3,7,3,5,5,3,3,2,3,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,5,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,1,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,4,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,1,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,3,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,4,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,3,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,3,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,4,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,4,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,3,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,1,4,4,1,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,1,4,2,5,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,5,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,3,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,4,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,5,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,3,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,1,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,3,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+5,1,5,4,4,5,1,2,7,7,4,4,2,1,4,4,5,7,4,1,3,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,4,4,3,1,4,4,4,3,6,5,7,2,1,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,2,7,7,2,6,3,7,4,4,3,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,1,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,4,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,3,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,1,2,7
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+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,3,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,3,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,1,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,5,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,1,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,3,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,5,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,3,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,1,4,4,4,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,3,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,3,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,4,4,3,1,4,4,1,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,3,1,5,4,2,6,2,3,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,4,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,3,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,3,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,3,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,5,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,5,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,3,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,3,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,3,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,3,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,5,7,2,1,3,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,1,1,3,2,6,4,3,5,4,7,2,4,3,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,1,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,3,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,4,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,3,3,4,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,1,2,7
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+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,4,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,4,7,5,2,4,5,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,5,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,4,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,5,7,2,1,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,5,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,3,2,4,2,1,5,4,5,6,2,1,4,2,2,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,4,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,4,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+5,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,1,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,1,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,1,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,3,4,5,4,5,6,2,1,4,2,2,5,6,5,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,3,3,2,7,7,4,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,4,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,4,3,7,3,5,5,3,3,2,5,4,3,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,1,4,3,1,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,3,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,1,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,3,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,3,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,4,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,1,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,3,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,5,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,1,4,4,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,3,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,1,1,7,4,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,3,1,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,1,7,7,2,5,4,2,2,1,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,3,3,5,7,7,2,6,3,7,4,4,4,3,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,3,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,3,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,1,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,1,4,4,5,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,1,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,3,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,4,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,1,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,3,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,3,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,4,4,3,1,4,4,1,3,6,5,7,2,1,3,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,1,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,1,2,7
+5,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,4,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,5,2,6,5,6,5,7,6,7,1,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,3,2,4,3,5,7,7,5,6,3,7,4,4,1,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,4,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,5,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,4,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,3,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,3,5,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,4,5,7,7,2,6,3,7,4,4,1,4,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,3,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,3,1,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,4,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,1,4,3,1,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,1,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,2,5,6,5,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,1,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,3,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,3,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,5,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,5,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,5,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,4,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,3,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,1,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,2,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,1,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,5,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,4,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,1,4,5,4,3,7,4,5,5,3,3,4,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,1,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,1,5,5,3,3,2,2,4,4,5,7,2,1,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,5,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,5,4,2,4,5,4,2,6,2,4,4,2,5,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,3,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,1,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,4,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,5,1,4,1,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,4,4,2,5,5,6,2,3,3,6,6,6,4,1,4,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,3,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,3,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,5,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,1,3,7,1,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,4,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,1,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,5,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,5,7,2,1,4,3,1,6,6,1,2,6,7,3,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,1,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,1,4,7,6,2,2,5,4,2,4,5,4,2,6,2,1,4,2,2,5,6,5,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,3,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,1,3,6,5,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,2,6,2,1,4,2,5,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,5,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,1,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,1,5,7,1,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,3,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,4,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,1,4,4,4,3,6,5,7,2,4,4,3,1,6,6,4,2,6,7,3,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,5,4,3,1,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,5,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,5,2,4,5,2,6,5,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,1,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,5,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,1,4,4,4,3,6,2,7,2,1,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
+5,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,5,4,3,4,4,7,6,2,2,2,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,1,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,4,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
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+2,1,5,4,4,5,2,2,7,7,4,4,2,1,4,1,5,7,4,1,5,1,3,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,1,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,3,5,6,2,2,6,3,3,4,2,3,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,1,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,1,1,7,1,2,7
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+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,1,4,6,4,1,7,1,2,7
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+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,1,5,4,5,6,2,1,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,5,7,7,2,6,3,7,4,4,1,2,7,7,2,4,4,7,2,1,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,5,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,1,5,6,2,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,1,4,2,5,5,6,5,4,3,6,6,6,4,1,3,5,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,1,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,1,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,5,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,1,4,6,4,1,7,4,2,7
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+5,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,3,4,5,4,2,6,2,1,4,2,2,5,6,2,3,3,6,6,6,3,1,3,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,4,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,5,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,1,5,7,7,2,5,4,2,2,4,4,3,1,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,3,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,1,2,7
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+5,1,5,4,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,1,3,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,4,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,2,6,4,3,5,3,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,4,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,4,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,2,2,7,7,4,4,5,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,3,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,1,1,3,2,6,4,3,5,2,7,2,4,4,5,6,5,2,6,3,3,4,2,4,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,4,4,6,1,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,4,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,4,2,1,7,4,7,3,1,6,1,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,1,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,5,1,4,4,5,7,4,1,5,1,4,7,6,1,6,2,4,3,4,4,7,6,2,2,5,4,2,4,5,4,5,6,2,4,4,2,2,5,6,2,3,3,6,6,6,4,1,4,5,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,4,2,3,3,2,7,7,5,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,3,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,1,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,1,5,6,3,3,7,2,2,4,5,2,6,2,6,5,7,6,7,4,5,7,7,2,5,1,2,2,3,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,1,5,7,4,4,1,7,4,5,3,4,1,3,2,7,1,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,1,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,3,7,6,1,6,2,4,3,1,4,7,6,2,2,5,4,3,4,5,4,5,6,2,4,4,2,2,5,6,5,3,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,4,5,6,2,2,6,3,3,3,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,1,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,4,6,4,3,5,5,2,7,2,7,3,6,2,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,5,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,1,5,7,7,2,5,1,2,2,4,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,5,1,2,4,5,5,4,4,6,4,1,7,4,2,7
+2,1,5,4,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,1,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,5,6,2,4,4,2,5,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,4,7,2,4,4,5,6,2,2,6,3,3,4,5,3,3,5,7,7,5,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,4,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,2,4,4,2,7,2,1,6,4,4,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,5,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,4,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,5,7,2,1,4,3,4,6,6,4,2,6,7,4,7,1,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,4,4,6,1,1,7,4,2,7
+5,1,5,1,4,5,5,2,7,7,4,4,2,1,4,4,5,7,1,1,5,4,4,7,6,1,6,2,4,3,4,4,7,6,2,2,2,4,2,4,5,4,2,6,2,4,4,2,2,5,6,2,4,3,6,6,6,4,1,3,2,6,4,3,5,2,7,2,4,1,5,6,2,2,6,3,3,4,2,4,3,2,7,7,2,6,3,7,4,4,4,2,7,7,2,3,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,1,4,5,7,4,4,1,4,6,4,4,5,4,3,7,4,5,5,3,3,2,2,4,4,2,7,2,4,6,4,1,5,5,5,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,5,4,4,2,2,6,1,6,6,6,1,4,3,1,4,1,2,4,4,5,6,3,3,7,2,2,4,2,2,6,2,6,5,7,6,7,4,5,7,7,2,5,4,2,2,3,4,3,4,4,4,1,3,6,2,7,2,4,4,3,4,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,1,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,4,5,5,1,4,6,4,1,7,4,2,7
+2,1,5,1,4,5,2,2,7,7,4,4,2,1,4,4,5,7,4,1,5,4,4,7,6,1,6,2,4,3,1,4,7,6,2,2,2,4,2,1,5,4,2,6,4,4,4,2,2,5,6,2,4,3,6,6,6,1,1,3,5,6,4,3,5,2,7,2,4,1,5,6,5,2,6,3,3,4,2,3,3,5,7,7,2,6,3,7,4,4,4,2,7,7,2,4,4,7,2,4,6,4,7,5,1,1,1,1,6,1,7,3,1,6,6,2,2,3,5,2,3,2,7,4,4,5,7,4,4,4,4,6,4,4,5,4,3,7,1,5,5,3,3,2,5,4,4,2,7,2,4,6,4,1,5,5,2,7,2,7,3,6,5,4,6,7,7,5,3,1,7,3,1,2,3,5,6,2,5,4,2,4,4,2,2,6,4,6,6,6,1,4,3,1,4,1,2,4,1,5,6,3,4,7,2,2,4,2,2,6,5,6,5,7,6,7,1,5,7,7,2,5,1,2,2,4,4,3,4,4,4,4,3,6,2,7,2,4,4,3,1,6,6,1,2,6,7,4,7,4,2,1,7,4,7,3,1,6,4,5,7,4,4,1,7,4,5,3,4,1,3,2,7,4,4,5,6,4,4,6,4,7,7,6,2,2,1,2,1,5,5,4,4,6,4,1,7,1,2,7
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diff --git a/model_assignments/bf_ps/1262/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1262/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..0d9a96250e546ec02031ee7beab222d6514aa76a
--- /dev/null
+++ b/model_assignments/bf_ps/1262/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1265/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1265/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ce6317d414dcb0f0237956813c65d661a4b98c8e
--- /dev/null
+++ b/model_assignments/bf_ps/1265/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1265/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1265/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c084a76f47bc9606f2ab0b5b6cbcbf8d0b78e104
--- /dev/null
+++ b/model_assignments/bf_ps/1265/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1265/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1265/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c9bf037a0a40f18ebd6c5ddc285bf0791f55e570
--- /dev/null
+++ b/model_assignments/bf_ps/1265/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1265/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1265/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f9b8bf41558cf739f500fcc18ece77620007a934
--- /dev/null
+++ b/model_assignments/bf_ps/1265/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1265/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1265/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a2410d5fd2e0820924b1db7956fa75dedc6f7a11
--- /dev/null
+++ b/model_assignments/bf_ps/1265/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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+7,1,2,4,1,1,5,2,4,5,4,7,5,7,1,3,1,3,7,1,3,3,1,2,7,5,6,5,6,4,2,2,2,6,7,3,3,7,6,7,5,4,1,5,5,7,4,1,3,3,3,1,1,7,6,5,2,5,6,1,7,4,7,1,1,1,5,5,2,3,4,5,3,3,2,3,1,4,2,4,1,4,5,4,5,6,5,1,3,1,7,3,4,4,2,3,6,2,7,6,2,3,4,5,6,1,6,4,1,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,4,1,4,7,4,4,1,7,6,2,4,1,1,7,3,1,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,4,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,1,3,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,3,7,7,3,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,3,4,1,1,5,2,4,2,4,7,5,7,1,3,1,4,7,1,3,3,1,3,7,5,6,5,6,4,5,2,2,6,7,4,3,7,6,7,5,4,4,5,5,7,4,1,3,3,3,4,1,7,6,5,2,2,6,1,7,4,7,1,1,1,5,5,2,3,4,5,3,3,2,3,1,4,5,3,1,4,5,4,5,6,5,4,4,1,7,3,4,1,2,4,6,4,7,6,2,1,1,5,6,4,6,4,4,7,7,6,5,6,1,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,1,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,3,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,4,4,4,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,1,5,1,3,1,4,1,5,5,7,4,6,7,5,2,7,4,3,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,1,6,1,2,6,1,5
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+7,1,3,1,1,1,2,2,4,2,4,7,5,7,1,3,1,3,7,1,3,3,1,2,7,5,6,2,6,2,2,2,2,6,7,3,3,7,6,7,5,3,1,5,5,7,4,1,3,3,3,1,1,7,6,5,2,2,6,1,7,4,7,1,1,1,5,5,2,3,4,5,3,3,3,3,1,4,2,3,1,4,5,4,5,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,1,1,5,6,1,6,4,1,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,4,1,3,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,4,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,4,1,1,3,4,5,5,7,4,6,7,5,2,7,4,3,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,3,7,7,3,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
+7,1,3,1,1,1,5,2,4,2,4,7,5,7,1,3,1,4,7,1,2,3,1,2,7,5,6,2,6,4,2,2,2,6,7,3,3,7,6,7,5,3,4,5,5,7,4,1,3,3,4,4,1,7,6,5,2,2,6,1,7,4,7,4,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,4,5,4,5,6,5,1,3,1,7,4,4,1,2,3,6,2,7,6,2,1,4,5,6,1,6,4,4,7,7,6,5,6,4,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,3,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,1,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,3,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,4,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,4,4,1,3,1,5,1,7,4,6,7,5,2,7,4,3,1,2,1,1,4,4,1,1,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,1,2,2,4,2,3,7,7,3,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,4,1,1,5,2,4,2,4,7,2,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,2,5,2,2,6,7,4,3,7,6,7,5,3,4,5,5,7,4,1,3,3,3,1,1,7,6,5,2,2,6,1,7,4,7,4,1,1,5,5,2,3,4,5,3,3,2,3,1,4,5,3,1,4,5,4,5,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,1,4,5,6,4,6,4,4,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,3,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,4,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,3,6,7,2,6,6,6,1,5,4,3,1,3,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,3,1,3,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,4,1,1,5,2,4,2,4,7,2,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,2,2,2,2,6,7,3,3,7,6,7,5,4,4,5,5,7,4,1,3,3,3,4,1,7,6,5,2,5,6,1,7,4,7,4,1,1,5,5,2,3,4,5,3,3,2,3,1,4,2,4,1,1,5,4,2,6,5,4,3,1,7,3,4,4,2,3,6,2,7,6,2,1,4,5,6,1,6,4,4,7,7,6,5,6,4,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,3,7,4,4,1,7,6,2,4,1,1,7,3,1,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,4,4,4,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,4,4,1,3,4,5,5,7,4,6,7,5,2,7,4,3,1,2,1,4,4,4,4,4,7,4,5,6,3,6,1,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,4,4,5,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,1,6,1,2,6,5,5
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+7,1,4,4,1,1,5,2,4,5,4,7,5,7,1,3,1,4,7,1,3,3,1,2,7,5,6,5,6,2,5,2,2,6,7,3,3,7,6,7,5,4,1,5,5,7,4,1,3,3,4,4,1,7,6,5,2,2,6,1,7,4,7,4,1,1,5,5,2,3,4,5,3,3,2,3,1,4,2,4,1,4,5,4,5,6,5,1,3,1,7,4,4,1,2,3,6,2,7,6,2,1,4,5,6,4,6,4,1,7,7,6,5,6,1,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,4,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,1,5,4,1,1,3,1,5,5,7,4,6,7,5,2,7,4,3,1,4,1,4,4,4,4,1,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,3,7,7,3,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,4,1,1,5,2,4,5,4,7,2,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,2,2,2,2,6,7,3,3,7,6,7,5,3,3,5,5,7,4,1,3,3,2,1,1,7,6,5,2,5,6,1,7,4,7,1,1,1,5,5,2,3,4,5,3,3,2,3,1,4,5,4,1,1,5,4,5,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,1,1,5,6,4,6,4,4,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,2,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,4,5,4,7,5,2,2,2,6,2,6,5,5,6,1,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,4,3,1,3,1,5,5,7,4,6,7,5,2,7,4,3,4,2,1,4,4,3,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,3,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,3,1,1,1,2,2,4,5,4,7,2,7,1,3,1,3,7,1,2,3,1,2,7,5,6,5,6,4,2,2,2,6,7,3,3,7,6,7,5,4,4,5,5,7,4,1,3,3,3,1,1,7,6,5,2,2,6,1,7,4,7,4,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,1,5,4,2,6,5,1,3,1,7,3,4,4,2,3,6,2,7,6,2,1,4,5,6,1,6,4,4,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,3,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,4,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,1,5,1,1,1,3,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,3,4,4,7,1,5,6,3,6,1,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,4,5,1,4,5,2,1,5,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,3,6,1,2,6,5,5
+7,1,4,4,1,1,5,2,4,5,4,7,5,7,1,3,1,4,7,1,2,4,1,2,7,5,6,2,6,4,5,2,2,6,7,3,4,7,6,7,5,3,4,5,5,7,4,1,3,3,4,1,1,7,6,5,2,5,6,1,7,4,7,1,1,1,5,5,2,3,4,5,3,3,2,3,1,4,5,3,1,4,5,4,5,6,5,4,3,1,7,3,4,4,2,3,6,2,7,6,2,1,1,5,6,4,6,4,1,7,7,6,5,6,1,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,3,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,4,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,4,4,1,3,4,5,5,7,4,6,7,5,2,7,4,3,1,2,1,3,4,4,1,1,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,3,7,7,3,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,3,4,1,1,2,4,4,2,4,7,2,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,2,2,2,2,6,7,3,3,7,6,7,5,4,4,5,5,7,4,1,3,3,4,1,1,7,6,5,2,2,6,1,7,4,7,1,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,4,5,4,5,6,5,4,4,1,7,3,4,4,2,3,6,2,7,6,2,1,1,5,6,1,6,4,4,7,7,6,5,6,4,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,1,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,4,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,4,4,1,3,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,3,4,3,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,2,4,1,1,2,2,4,2,4,7,2,7,1,3,1,4,7,1,2,3,1,2,7,5,6,2,6,4,5,2,2,6,7,3,3,7,6,7,5,3,4,5,5,7,4,1,3,3,3,4,1,7,6,5,2,2,6,1,7,4,7,4,1,1,2,5,2,3,4,5,3,3,2,3,1,4,5,3,1,4,5,4,2,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,1,4,5,6,4,6,4,4,7,7,6,5,6,4,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,3,7,4,3,1,7,6,4,4,4,1,7,3,1,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,4,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,1,4,1,3,4,5,5,7,4,6,7,5,2,7,4,3,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,4,1,1,5,2,4,5,4,7,5,7,1,3,1,3,7,1,3,3,1,2,7,5,6,5,6,4,5,2,2,6,7,3,3,7,6,7,5,3,3,5,5,7,4,1,3,3,4,4,1,7,6,5,2,2,6,1,7,4,7,4,1,1,5,5,2,3,4,5,3,3,2,3,1,4,5,3,1,4,5,4,5,6,5,4,3,1,7,4,4,4,2,3,6,2,7,6,2,1,1,5,6,4,6,4,1,7,7,6,5,6,4,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,1,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,4,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,1,3,1,3,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,3,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,2,1,1,1,2,2,4,2,4,7,2,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,4,5,2,2,6,7,3,3,7,6,7,5,4,4,5,5,7,4,1,3,3,3,1,1,7,6,5,2,2,6,1,7,4,7,1,1,1,5,5,2,3,4,5,3,3,2,3,1,4,5,4,1,1,5,4,2,6,5,1,4,1,7,3,4,4,2,3,6,2,7,6,2,1,1,5,6,1,6,4,4,7,7,6,5,6,1,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,4,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,1,4,4,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,1,5,4,4,1,3,4,5,1,7,4,6,7,5,2,7,4,3,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,2,4,1,1,5,2,4,2,4,7,2,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,2,2,2,2,6,7,3,3,7,6,7,5,4,1,5,5,7,4,1,3,3,3,1,1,7,6,5,2,2,6,1,7,4,7,1,1,1,2,5,2,3,4,5,3,3,2,3,1,4,4,3,1,1,5,4,5,6,5,4,3,1,7,3,4,1,2,3,6,2,7,6,2,1,1,5,6,3,6,4,1,7,7,6,5,6,4,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,2,1,3,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,4,4,4,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,1,4,1,3,1,5,5,7,4,6,7,5,2,7,4,3,1,2,1,1,4,3,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,3,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,1,1,1,2,2,4,5,4,7,5,7,1,3,1,3,7,1,3,3,1,2,7,5,6,5,6,4,5,2,2,6,7,3,3,7,6,7,5,4,1,5,5,7,4,1,3,3,3,4,1,7,6,5,2,2,6,1,7,4,7,1,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,1,5,4,2,6,5,4,3,1,7,3,4,4,2,3,6,2,7,6,2,3,4,5,6,4,6,4,4,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,4,1,3,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,4,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,1,4,4,3,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,3,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,2,1,1,1,5,2,4,5,4,7,5,7,1,3,1,4,7,1,2,3,1,2,7,5,6,2,6,2,5,2,2,6,7,3,3,7,6,7,5,3,4,5,5,7,4,1,3,3,3,4,1,7,6,5,2,5,6,1,7,4,7,4,1,1,5,5,2,3,4,5,3,3,2,3,1,4,2,4,1,1,5,4,5,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,1,4,5,6,4,6,4,4,7,7,6,5,6,4,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,5,1,3,4,7,7,2,3,1,3,7,4,1,1,7,6,2,4,1,1,7,3,1,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,4,4,4,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,4,4,1,3,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,3,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,3,1,1,1,2,2,4,5,4,7,5,7,1,3,1,3,7,1,3,3,1,2,7,5,6,2,6,4,5,2,2,6,7,3,3,7,6,7,5,3,4,5,5,7,4,1,3,3,3,4,1,7,6,5,4,2,6,1,7,4,7,3,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,4,5,4,2,6,5,1,3,1,7,3,4,4,2,3,6,2,7,6,2,1,1,5,6,4,6,4,4,7,7,6,5,6,4,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,3,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,4,4,4,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,1,1,4,3,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,3,6,6,2,7,4,7,7,6,1,5,4,5,1,4,5,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,1,1,1,2,2,4,5,4,7,5,7,1,3,1,3,7,1,2,4,1,2,7,5,6,2,6,4,5,2,2,6,7,3,3,7,6,7,5,4,1,5,5,7,4,1,3,3,4,1,1,7,6,5,2,5,6,1,7,4,7,4,1,1,5,5,2,3,4,5,3,3,2,3,1,4,2,3,1,1,5,4,5,6,5,4,3,1,7,4,4,1,2,3,6,2,7,6,2,1,4,5,6,1,6,4,1,7,7,6,5,6,1,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,3,7,4,1,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,4,5,4,7,5,2,2,4,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,4,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,4,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,2,4,1,1,5,2,4,2,4,7,5,7,1,3,1,3,7,1,3,3,1,2,7,1,6,2,6,4,5,2,2,6,7,3,3,7,6,7,5,4,3,5,5,7,4,1,3,3,3,1,1,7,6,1,2,5,6,1,7,4,7,4,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,1,5,4,2,6,5,1,4,1,7,3,4,1,2,3,6,2,7,6,2,1,1,5,6,4,6,4,1,7,7,6,5,6,4,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,3,7,4,1,1,7,6,2,4,4,1,7,3,1,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,4,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,1,5,1,1,1,3,1,5,5,7,4,6,7,5,2,7,4,3,4,2,1,1,4,3,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,3,7,7,3,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,2,1,1,1,2,2,4,5,4,7,5,7,1,3,1,4,7,1,3,3,1,2,7,5,6,5,6,2,2,2,2,6,7,3,3,7,6,7,5,3,4,5,5,7,4,1,3,3,2,1,1,7,6,5,2,2,6,1,7,4,7,4,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,4,1,1,5,4,2,6,5,4,3,1,7,3,4,4,2,3,6,2,7,6,2,3,4,5,6,4,6,4,4,7,7,6,5,6,4,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,1,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,4,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,4,5,1,1,1,3,4,5,5,7,4,6,7,5,2,7,4,3,4,2,1,1,4,3,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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+7,1,3,4,1,1,2,2,4,5,4,7,5,7,1,3,1,4,7,1,3,1,1,3,7,5,6,2,6,4,2,2,2,6,7,3,3,7,6,7,5,4,4,5,5,7,4,1,3,3,3,1,1,7,6,5,2,5,6,1,7,4,7,1,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,4,5,4,2,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,4,4,5,6,1,6,4,1,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,1,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,1,4,4,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,3,6,6,6,4,5,4,4,1,3,4,5,5,7,4,6,7,5,2,7,4,3,4,2,1,1,4,3,1,4,7,4,5,6,3,6,1,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,5,5
+7,1,2,1,1,1,2,2,4,5,4,7,5,7,1,3,1,4,7,1,3,3,1,2,7,5,6,2,6,4,5,2,2,6,7,3,3,7,6,7,5,4,3,5,5,7,4,1,3,3,2,1,1,7,6,5,2,2,6,1,7,4,7,4,1,1,2,5,2,3,4,5,3,3,2,3,1,4,2,3,1,1,5,4,2,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,3,1,5,6,1,6,4,4,7,7,6,5,6,1,4,2,6,3,6,2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,3,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,4,4,4,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,1,5,4,3,1,3,4,5,5,7,4,6,7,5,2,7,4,3,4,2,1,1,4,3,4,4,7,4,5,6,3,6,1,4,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,2,5
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+7,1,3,4,1,1,5,2,4,5,4,7,5,7,1,3,1,4,7,1,2,3,1,2,7,5,6,2,6,4,5,3,2,6,7,3,3,7,6,7,5,4,3,5,5,7,4,1,3,3,3,4,1,7,6,5,2,2,6,1,7,4,7,1,1,1,2,5,2,3,4,5,3,3,2,3,1,4,5,3,1,4,5,4,2,6,5,1,3,1,7,3,4,1,2,3,6,2,7,6,2,1,4,5,6,1,6,4,1,7,7,6,5,6,1,4,2,6,3,6,5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,4,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,1,5,1,1,1,3,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,3,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,1,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,5,5
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diff --git a/model_assignments/bf_ps/1265/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1265/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..df1e7f7023bbad9c71b52a7facc22be5b8c46b9a
--- /dev/null
+++ b/model_assignments/bf_ps/1265/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1265/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1265/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..10dc4b529dbb6fcd7e806d63eab572cfc9ba6dce
--- /dev/null
+++ b/model_assignments/bf_ps/1265/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,3,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,4,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,3,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,4,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,4,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,3,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,5,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,4,1,4,1,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,3,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,1,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,4,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,4,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,3,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,3,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,4,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,3,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,3,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,4,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,3,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,3,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,4,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,4,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,3,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,3,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,3,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,3,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,4,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,3,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,4,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,3,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,3,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,3,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,3,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,3,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,4,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,3,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,3,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,4,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,4,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,4,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,4,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,3,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,1,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,4,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,4,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,3,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,4,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,1,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,4,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,4,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,3,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,4,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,3,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,5,4,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,5,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,4,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,3,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,3,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,3,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,4,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,3,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,3,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,3,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,3,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,3,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,4,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,3,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,3,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,4,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,3,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,3,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,4,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,3,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,5,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,3,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,4,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,1,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,4,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,4,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,4,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,3,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,4,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,5,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,3,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,4,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,3,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,3,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,3,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,4,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,3,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,1,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,3,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,2,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,1,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,1,7,4,7,7,6,1,5,3,2,1,4,5,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,4,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,4,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,1,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,3,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,2,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,1
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,3,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,3,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,3,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,3,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,4,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,1,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,3,7,1,4,4,3,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,2,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,1,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,4,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,3,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,3,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,5,2,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,2,2,3,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,3,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,3,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,3,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,1,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,3,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,4,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,3,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,4,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,1,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,3,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,3,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,4,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,3,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,3,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,3,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,3,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,3,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,4,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+3,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,3,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,4,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,3,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,3,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,3,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,3,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,3,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,3,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,3,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,4,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,5,2,4,2,3,7,7,4,1,7,6,1,3,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,4,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,2,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,1,7,1,6,6,5,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,1,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,5,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,5,6,2,6,5,5,6,1,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,1,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,1,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,3,6,5,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,4,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,1,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,5,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,4,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,3,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,5,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,3,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,3,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,3,7,3,3,7,6,5,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,3,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,1,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,1,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,5,1,4,2,2,4,2,2,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,1,6,7,2,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,2,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,1,5,3,5,1,4,5,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,3,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,3,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,3,7,2,4,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,3,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,4,4,7,4,5,6,3,6,4,2,4,1,6,5,7,1,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,3,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,5,3,1,1,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,1,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,1,5,6,3,6,4,2,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,3,2,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,5,1,4,1,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,1,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,5,2,4,2,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,1,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,1,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,4,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,2,2,2,6,6,1,4,5,4,7,5,4,1,5,7,6,5,7,7,5,2,5,7,4,6,2,5,7,4,2,4,1,1,5,7,2,1,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,4,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,1,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,5,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,5,4,5,4,6,6,7,2,5,2,7,1,3,7,4,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,5,7,2,1,7,3,3,7,6,5,6,3,2,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+5,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,2,3,1,4,7,4,4,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,3,7,3,1,7,6,4,5,1,4,5,4,4,6,6,3,1,1,6,7,5,5,7,7,5,2,3,4,2,5,4,7,5,2,2,2,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,1,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,4,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,5,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,5,6,3,5,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
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+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,4,7,7,5,3,1,1,7,4,1,1,7,6,2,4,4,1,7,3,5,2,5,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,4,4,6,6,4,1,4,6,7,5,5,7,7,5,2,3,4,2,2,4,7,5,2,2,2,6,2,6,5,5,6,5,7,4,7,1,1,4,4,6,7,2,6,6,6,4,5,3,4,1,4,1,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,1,6,6,5,7,4,7,7,6,4,5,3,2,1,4,2,2,4,5,3,7,7,4,1,7,6,1,4,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,1,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,4,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,5,2,6,2,2,2,6,6,1,1,5,4,7,5,4,1,5,7,6,5,7,7,5,4,2,7,4,6,2,5,7,4,2,4,1,1,2,7,2,4,7,3,3,7,6,2,6,3,2,3,4,2,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,4,1,7,4,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,2,1,4,1,7,7,2,3,1,4,7,4,4,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,1,4,5,1,4,6,6,4,1,4,6,7,2,5,7,7,5,2,3,4,2,5,4,7,2,2,2,2,6,2,6,5,5,6,5,7,1,7,1,1,4,4,6,7,2,6,6,6,4,5,3,1,1,4,4,5,5,7,4,6,7,5,2,7,4,4,1,2,1,4,4,4,4,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,4,5,3,5,1,4,2,2,4,5,4,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,2,7,2,2,4,5,1,6,6,7,2,5,2,7,1,3,7,3,6,5,4,7,7,3,6,4,2,4,2,7,2,2,6,5,2,2,6,6,1,1,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,4,6,2,5,7,4,2,1,1,1,2,7,2,1,7,3,3,7,6,2,6,3,5,3,4,2,6,5,3,4,2,4,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
+2,1,1,7,7,6,7,6,7,7,4,5,5,1,4,4,7,7,2,3,1,4,7,4,1,1,7,6,2,4,1,1,7,3,5,2,2,4,1,6,7,4,4,2,7,3,1,7,6,4,5,4,4,5,1,4,6,6,4,1,1,6,7,5,5,7,7,5,2,3,4,2,2,4,7,2,2,2,5,6,2,6,5,5,6,5,7,1,7,1,4,4,4,6,7,2,6,6,6,1,5,3,4,1,4,4,5,5,7,4,6,7,5,2,7,4,4,4,2,1,4,4,4,1,4,7,4,5,6,3,6,4,5,4,1,6,5,7,4,6,6,2,7,4,7,7,6,1,5,3,2,1,4,2,2,4,2,2,7,7,4,1,7,6,1,1,6,5,6,7,4,7,7,4,6,1,2,6,2,5,6,5,7,4,1,2,6,7,6,7,7,5,3,7,6,5,7,2,2,4,5,4,6,6,7,2,5,5,7,1,3,7,3,6,5,4,7,7,3,6,4,2,1,2,7,5,3,6,2,2,2,6,6,1,4,5,4,7,5,4,4,5,7,6,5,7,7,5,2,2,7,3,6,2,5,7,4,2,4,1,1,2,7,2,1,7,3,3,7,6,5,6,3,2,3,4,5,6,5,3,4,2,1,6,4,7,4,7,3,1,4,3,1,1,1,1,7,1,4,5
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diff --git a/model_assignments/bf_ps/1265/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1265/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3f14e817217ed395118f16bad587c0d22a13d0a1
--- /dev/null
+++ b/model_assignments/bf_ps/1265/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1276/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f7edb435b0fc91720029c9875219c53d93423eab
--- /dev/null
+++ b/model_assignments/bf_ps/1276/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1276/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1276/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..00b6d561f4c66ba1e6c05eddc814345ff10c2677
--- /dev/null
+++ b/model_assignments/bf_ps/1276/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1276/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..9185cf318fd5a56a0dcb02d95e24ee202709373a
--- /dev/null
+++ b/model_assignments/bf_ps/1276/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1276/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d474d65700a152c3769e5cb785971f114139564d
--- /dev/null
+++ b/model_assignments/bf_ps/1276/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1276/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..063379018d64b06bac69be356756a4afb56da452
--- /dev/null
+++ b/model_assignments/bf_ps/1276/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1276/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b5d2bbc1a6e04cb25eec938d77e23835cc17462a
--- /dev/null
+++ b/model_assignments/bf_ps/1276/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1276/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..dc93a730f0e3023aab60eb7190c220961a7e9540
--- /dev/null
+++ b/model_assignments/bf_ps/1276/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1276/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1276/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..8b69861017339e7fb52c6e908fa66d41a7e9fca9
--- /dev/null
+++ b/model_assignments/bf_ps/1276/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1278/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6143b2d56e0131c7d805901749c822e28cfacbca
--- /dev/null
+++ b/model_assignments/bf_ps/1278/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1278/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1278/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d542d7360c2d8896159e6eaa88ece7765ad27ce9
--- /dev/null
+++ b/model_assignments/bf_ps/1278/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1278/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..dab100bc2d95809e8ecf8fa5893725457e2e02e6
--- /dev/null
+++ b/model_assignments/bf_ps/1278/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1278/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..64b898c45fa9a9bab2a44f726ae031883d2b8b4c
--- /dev/null
+++ b/model_assignments/bf_ps/1278/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1278/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b26febf73f4f74d9bad7b12f57e00d9f36757bf4
--- /dev/null
+++ b/model_assignments/bf_ps/1278/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1278/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..5fa8443f8319cee246374ac4b002b4ed4ae898d0
--- /dev/null
+++ b/model_assignments/bf_ps/1278/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1278/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..44a4e9d44bf0c41320e22473b9e5130220296d49
--- /dev/null
+++ b/model_assignments/bf_ps/1278/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1278/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1278/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..035c5c2b0ff98e149b62976373b86784fea30cc9
--- /dev/null
+++ b/model_assignments/bf_ps/1278/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1282/150_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1282/150_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..809d9e7cd46c37005f7175c71571f7a6bf94c554
--- /dev/null
+++ b/model_assignments/bf_ps/1282/150_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
+"strat[1]","strat[2]","strat[3]","strat[4]","strat[5]","strat[6]","strat[7]","strat[8]","strat[9]","strat[10]","strat[11]","strat[12]","strat[13]","strat[14]","strat[15]","strat[16]","strat[17]","strat[18]","strat[19]","strat[20]","strat[21]","strat[22]","strat[23]","strat[24]","strat[25]","strat[26]","strat[27]","strat[28]","strat[29]","strat[30]","strat[31]","strat[32]","strat[33]","strat[34]","strat[35]","strat[36]","strat[37]","strat[38]","strat[39]","strat[40]","strat[41]","strat[42]","strat[43]","strat[44]","strat[45]","strat[46]","strat[47]","strat[48]","strat[49]","strat[50]","strat[51]","strat[52]","strat[53]","strat[54]","strat[55]","strat[56]","strat[57]","strat[58]","strat[59]","strat[60]","strat[61]","strat[62]","strat[63]","strat[64]","strat[65]","strat[66]","strat[67]","strat[68]","strat[69]","strat[70]","strat[71]","strat[72]","strat[73]","strat[74]","strat[75]","strat[76]","strat[77]","strat[78]","strat[79]","strat[80]","strat[81]","strat[82]","strat[83]","strat[84]","strat[85]","strat[86]","strat[87]","strat[88]","strat[89]","strat[90]","strat[91]","strat[92]","strat[93]","strat[94]","strat[95]","strat[96]","strat[97]","strat[98]","strat[99]","strat[100]","strat[101]","strat[102]","strat[103]","strat[104]","strat[105]","strat[106]","strat[107]","strat[108]","strat[109]","strat[110]","strat[111]","strat[112]","strat[113]","strat[114]","strat[115]","strat[116]","strat[117]","strat[118]","strat[119]","strat[120]","strat[121]","strat[122]","strat[123]","strat[124]","strat[125]","strat[126]","strat[127]","strat[128]","strat[129]","strat[130]","strat[131]","strat[132]","strat[133]","strat[134]","strat[135]","strat[136]","strat[137]","strat[138]","strat[139]","strat[140]","strat[141]","strat[142]","strat[143]","strat[144]","strat[145]","strat[146]","strat[147]","strat[148]","strat[149]","strat[150]"
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diff --git a/model_assignments/bf_ps/1282/150_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1282/150_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a110ed564a437c75d9e058c87a53b0372db09a43
--- /dev/null
+++ b/model_assignments/bf_ps/1282/150_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1282/150_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1282/150_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c18817cca833dc4c39056eb8b60718ff60071aa0
--- /dev/null
+++ b/model_assignments/bf_ps/1282/150_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1282/150_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1282/150_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b4508aad54d0979e4d334eae677ab2aaff44d5a0
--- /dev/null
+++ b/model_assignments/bf_ps/1282/150_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1282/300_180_equal_strategy_assignments.csv b/model_assignments/bf_ps/1282/300_180_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a78ec622b5dcb0c20f84b8c3c31fe8c8a0e3c9ae
--- /dev/null
+++ b/model_assignments/bf_ps/1282/300_180_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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+4,1,5,5,2,7,2,7,1,7,2,7,4,2,3,5,6,5,1,5,4,6,4,2,2,2,4,2,3,7,2,6,4,3,6,5,3,6,6,5,6,7,4,1,2,4,2,1,3,5,5,5,1,7,4,1,3,4,5,2,6,1,7,6,4,5,6,2,4,3,4,4,3,5,4,2,3,7,2,5,6,2,4,6,3,3,1,3,2,1,3,4,4,7,6,2,2,2,4,5,4,7,4,7,6,3,1,7,3,6,4,1,7,7,3,7,6,4,7,1,4,7,3,6,6,3,1,2,1,1,6,4,3,7,5,6,6,4,6,5,6,6,7,6,3,5,1,3,1,5,5,1,4,2,2,1,3,1,4,3,2,7,2,4,1,2,1,1,4,1,6,3,4,1,4,4,2,6,4,4,1,2,4,7,7,3,3,3,7,1,4,1,7,1,6,1,3,1,3,6,7,1,2,5,7,2,5,6,6,4,1,5,4,1,2,1,6,1,6,5,7,7,2,2,3,7,1,4,5,1,2,6,4,4,3,1,6,4,2,4,7,1,3,6,3,5,6,1,1,1,5,2,7,2,4,1,4,1,6,5,1,7,4,5,2,5,6,3,5,6,3,5,6,6,5,2,2,4,2,6,1,5,4,3,3,2,1,3,2,7,4,2,5,6,1,4,3,7,3,3
+1,1,5,2,2,7,5,7,1,7,2,7,4,2,3,2,6,5,4,5,4,6,4,2,2,2,4,2,4,7,5,6,4,3,6,5,4,6,6,2,6,7,3,1,2,1,3,1,3,5,5,5,1,7,1,1,3,4,5,2,6,1,7,6,4,5,6,2,4,3,4,4,3,5,4,2,3,7,5,5,6,2,4,6,3,4,1,3,2,1,3,4,4,7,6,2,2,2,4,2,4,7,4,7,6,3,1,7,3,6,4,1,7,7,3,7,6,1,7,1,4,7,3,6,6,4,1,2,1,1,6,3,3,7,5,6,6,3,6,5,6,6,7,6,3,5,1,3,1,5,2,1,4,5,2,1,3,1,4,3,2,7,2,4,1,2,1,3,4,1,6,3,3,1,4,4,2,6,4,4,4,3,4,7,7,3,3,3,7,4,4,1,7,1,6,1,3,1,3,6,7,4,2,5,7,2,5,6,6,4,1,5,4,4,2,1,6,1,6,5,7,7,2,2,3,7,1,3,2,1,2,6,4,4,1,1,6,1,2,4,7,1,2,6,3,5,6,1,1,4,5,2,7,3,4,1,4,1,6,5,1,7,4,5,2,5,6,3,5,6,3,5,6,6,5,2,2,4,3,6,1,5,4,3,3,2,1,3,2,7,4,2,5,6,1,4,3,7,3,3
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+4,1,5,5,2,7,5,7,1,7,2,7,1,2,3,2,6,5,1,5,4,6,4,2,2,2,4,2,4,7,2,6,4,3,6,5,1,6,6,2,6,7,4,1,2,4,2,1,3,5,5,5,1,7,4,1,3,1,5,2,6,1,7,6,4,5,6,2,4,3,4,4,3,5,4,5,3,7,3,5,6,5,4,6,3,3,1,3,2,1,3,4,4,7,6,2,2,2,4,5,4,7,4,7,6,3,1,7,3,6,4,4,7,7,3,7,6,1,7,1,4,7,3,6,6,4,4,2,1,4,6,4,3,7,5,6,6,4,6,5,6,6,7,6,3,5,1,3,1,5,5,1,4,5,2,1,4,1,4,3,2,7,2,4,1,5,1,1,4,1,6,3,3,1,1,4,2,6,4,4,1,2,4,7,7,3,3,3,7,4,4,1,7,1,6,1,3,1,3,6,7,4,2,5,7,2,5,6,6,4,1,5,4,1,2,1,6,1,6,5,7,7,2,2,3,7,1,3,5,1,2,6,4,4,4,1,6,4,2,4,7,1,2,6,3,5,6,1,1,4,5,2,7,2,4,4,4,1,6,5,1,7,4,5,5,5,6,3,5,6,3,5,6,6,5,2,5,4,2,6,1,5,1,3,3,5,1,3,2,7,4,5,5,6,1,4,3,7,3,3
+1,1,5,2,2,7,5,7,1,7,4,7,4,2,4,2,6,5,4,5,4,6,4,2,2,2,4,2,4,7,5,6,4,3,6,5,3,6,6,5,6,7,3,1,2,1,2,1,3,5,5,5,1,7,1,1,3,4,5,2,6,1,7,6,4,5,6,2,4,3,4,4,3,5,4,2,3,7,2,5,6,2,4,6,3,3,1,3,2,1,3,4,4,7,6,2,2,2,4,5,4,7,1,7,6,3,1,7,3,6,4,4,7,7,3,7,6,4,7,1,4,7,3,6,6,4,1,4,1,1,6,4,3,7,5,6,6,3,6,5,6,6,7,6,3,5,1,3,1,5,2,1,4,5,2,1,3,1,4,3,2,7,2,4,1,2,1,1,1,1,6,3,3,1,1,4,2,6,4,4,1,2,4,7,7,4,3,3,7,4,4,1,7,1,6,1,3,1,3,6,7,4,2,5,7,2,5,6,6,4,1,5,4,1,2,1,6,1,6,5,7,7,2,2,3,7,1,3,2,1,2,6,4,4,1,1,6,1,2,4,7,1,2,6,3,5,6,1,1,1,5,2,7,2,4,1,4,1,6,5,1,7,4,5,5,5,6,3,5,6,3,5,6,6,5,2,5,4,2,6,1,5,4,3,3,2,1,3,2,7,4,5,5,6,1,4,3,7,2,3
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+4,1,5,5,2,7,2,7,1,7,2,7,4,2,3,5,6,5,1,1,4,6,4,2,2,2,4,5,3,7,5,6,4,3,6,5,3,6,6,2,6,7,3,1,2,1,2,1,3,5,5,2,1,7,1,1,3,4,5,2,6,1,7,6,4,5,6,2,4,3,4,4,3,5,4,5,3,7,2,5,6,2,4,6,3,3,1,3,2,1,3,4,4,7,6,2,2,2,4,5,4,7,1,7,6,3,1,7,3,6,4,4,7,7,3,7,6,1,7,1,1,7,3,6,6,4,4,2,1,1,6,4,3,7,5,6,6,3,6,5,6,6,7,6,3,5,1,3,1,5,5,1,4,2,2,1,3,1,4,3,2,7,2,4,1,2,1,4,1,3,6,3,3,1,4,4,4,6,4,4,4,2,4,7,7,4,3,3,7,4,4,1,7,1,6,4,3,1,3,6,7,1,2,5,7,2,5,6,6,4,4,5,4,1,2,1,6,1,6,2,7,7,2,4,3,7,1,3,5,1,3,6,4,4,4,1,6,4,2,4,7,1,2,6,3,5,6,1,1,4,5,2,7,2,4,1,4,1,6,5,1,7,4,5,2,5,6,3,5,6,3,5,6,6,5,2,3,4,2,6,1,5,1,3,2,3,1,3,5,7,4,5,5,6,1,4,3,7,3,3
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diff --git a/model_assignments/bf_ps/1282/300_180_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1282/300_180_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a6952f7437720b4e92519641049de55618dabc04
--- /dev/null
+++ b/model_assignments/bf_ps/1282/300_180_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1282/300_360_equal_strategy_assignments.csv b/model_assignments/bf_ps/1282/300_360_equal_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..4d979929b4e1f033fbbab37c1ce5dc1214bfe049
--- /dev/null
+++ b/model_assignments/bf_ps/1282/300_360_equal_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/1282/300_360_extreme_strategy_assignments.csv b/model_assignments/bf_ps/1282/300_360_extreme_strategy_assignments.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c99ef18df6cba52429426178c6ff59e41427d928
--- /dev/null
+++ b/model_assignments/bf_ps/1282/300_360_extreme_strategy_assignments.csv
@@ -0,0 +1,1051 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1235/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1235/150_180_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1235/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1235/150_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..eb950341ebf69a30acd23f029e786efa58ba6d1c
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1235/150_360_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..4387512f32f214db6221dc49d7fcb14ce029da11
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1235/300_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1235/300_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d7cb1bc6bd43b76c5e731c48f80e728e5c3fdb75
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1235/300_180_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1235/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1235/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..eabb56e83c9162f755f84c112408ca2a758efd07
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1235/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1235/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1235/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d6597e68f4da3e3d4d1e5ea9013f3772ac2beed9
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1235/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1235/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1235/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..e1fcd5126cf61be01b3048563419ab743b82c8f0
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1235/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1242/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1242/150_180_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..3a9e6a3b5dc6b97f54f507d1955b9154382c8f69
--- /dev/null
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index 0000000000000000000000000000000000000000..7d3211be69e70b6d9551f99bcdd1676a9417d66a
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1242/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1242/150_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6623f084bbf84cb05e48f39c302bb204fa2f1a3e
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1242/150_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1242/150_360_extreme_prob_strat.csv
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index 0000000000000000000000000000000000000000..ddae7ea013c17e321c2a49bd7673e28209f7ef67
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diff --git a/model_assignments/bf_ps/prob_strat/1242/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1242/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ddf1a88c879c100e8ec3a2bfdac10ab3ab9b928e
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1242/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1242/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1242/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..5d0d133af28bb9d810a133cfb93411df2f2f4850
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1242/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1242/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1242/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..12112d6e9523138d454cc59fd8fda35959ea42f3
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1242/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1245/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1245/150_180_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..f5bafc024eff8afca1ea2e0374cc815e867c29d1
--- /dev/null
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index 0000000000000000000000000000000000000000..627382b598617e424226c90d31d76a81237f2aae
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1245/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1245/150_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ed5e045fe4669cd72736d319978558ce38e1a49b
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1245/150_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1245/150_360_extreme_prob_strat.csv
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index 0000000000000000000000000000000000000000..17fc9505aaeb059d9147e8c504730a47c59e1e42
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diff --git a/model_assignments/bf_ps/prob_strat/1245/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1245/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..00adf3072e5b1b5329283aebb26e0c21cdfa02e6
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1245/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1245/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1245/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1e21db2d54c7f54181c592e096c61a0c74e7be6b
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1245/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1245/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1245/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d6c679d78d3548360d1d43d6ee837a5f6d6a3a18
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1245/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1250/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1250/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..e0c67a37fc39467badef5a360ad94adab751fb50
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1250/150_180_equal_prob_strat.csv
@@ -0,0 +1,151 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1250/150_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1250/150_180_extreme_prob_strat.csv
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index 0000000000000000000000000000000000000000..37da2c803a9a73cd578ae6565c3f9808d027706c
--- /dev/null
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index 0000000000000000000000000000000000000000..dfb23a68f24f8ddbb17356dd99ba5ec3e80ae0b9
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diff --git a/model_assignments/bf_ps/prob_strat/1250/150_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1250/150_360_extreme_prob_strat.csv
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index 0000000000000000000000000000000000000000..9b1597188d15f23d382618617b830ba5a6ce43ec
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1250/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1250/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..85971ac44d99339c04a8bcc645b0c7b20d40107b
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1250/300_180_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1250/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1250/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..14f3672abdfc2b7b97f9a469cee7e0cee405c02b
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1250/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1250/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1250/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6a8330968ba5a5cebfd850bd68ee7e9be86bb83a
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1250/300_360_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1251/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1251/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1a9cab80c8f75ff0b8d118f9418a4e4f9fd64f57
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1251/150_180_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1251/150_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1251/150_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..adfef1ad2251250b9a10be8d267dc1400fec315d
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1251/150_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1251/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1251/150_360_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..80ea95589763b1340ae786811bb9d18684bb67f4
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1251/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1251/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..77e97994ccdd7cec0db6708067abb44ff501d2e4
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1251/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1251/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1251/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f6957c903088ef25d756842019115111b17fb562
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1251/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1251/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1251/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..15d3621fba15fa2ddda7cc50d911041f74cd2236
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1256/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1256/150_180_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..09c6f1786f85e4c86f257013057afd3488adafd1
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diff --git a/model_assignments/bf_ps/prob_strat/1256/150_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1256/150_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..2f6977f909e3e927738082fb702e0f80ac91c0e6
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1256/150_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1256/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1256/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..62f30ec384a4a80c1234875f839bee145512e003
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1256/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1256/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1256/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..592e20d8a495b751828cb34d10a1ec1a3f204032
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1256/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1256/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1256/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..2365339039bfc2281e5ca7750813af783d3c062c
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1256/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1257/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1257/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..201f41ae7eb94a91f791bc1b0f3ad1f65add0931
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diff --git a/model_assignments/bf_ps/prob_strat/1257/150_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1257/150_180_extreme_prob_strat.csv
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index 0000000000000000000000000000000000000000..5371a69732430bd5d770b480dff3d978fef33eac
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diff --git a/model_assignments/bf_ps/prob_strat/1257/300_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1257/300_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3914f6570baa94cd0683c30cdfd988fbabe2163d
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1257/300_180_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1257/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1257/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..4711e6b030af64c69f8d14a66549087633d653d4
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1257/300_180_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1257/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1257/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..4d12a54a728fb332c1b4d104e2ba559379e8634d
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1257/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1257/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1257/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d553403b3fd931d7f01276f047f7e01d79cfb853
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1257/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1258/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1258/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a8bcfdedda4c541507100cc3284ae03bf4db46f8
--- /dev/null
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index 0000000000000000000000000000000000000000..6ddbe88e296e5513c67a765e815da3fe1e3f78ea
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index 0000000000000000000000000000000000000000..76d336833d63710cece613dd9ed386b1c516d2fe
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diff --git a/model_assignments/bf_ps/prob_strat/1258/300_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1258/300_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..dd04867054c9698d6abf894be00420c14cd3570f
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1258/300_180_equal_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1258/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1258/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c42ff0d4308fa0dc45be242a6c9ae7253c324f75
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1258/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1258/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1258/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f48a6ae1c54d996a026d8719d59ae9eb5eb2acdb
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1258/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1258/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1258/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b2638f507064fa317abc260c9b42f0f2cb3a518f
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1258/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1259/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1259/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..25450160ff412b583b19fb052d8b731e544db55a
--- /dev/null
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index 0000000000000000000000000000000000000000..4c23491ac2f1f9bebb8e4cc65c1c402833eabcd0
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1259/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1259/150_360_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..61341879cf0393782f8f77547931865c8c7269e6
--- /dev/null
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index 0000000000000000000000000000000000000000..6b0e55b0dc18606157c07b8e1f291d94322b8b02
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diff --git a/model_assignments/bf_ps/prob_strat/1259/300_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1259/300_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..feed00bbd00bd1804c9e5f22db84e3a780a46a85
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1259/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1259/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..10ea3fd91b24c331c93e60ff6e5c42b59c67a4ca
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1259/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1259/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1259/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ed94a95b29c2d9593176bb4a9873a812384884fa
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1259/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1259/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1259/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..96144ad9890e5a448c91df13cc8267c199debb92
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1259/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1260/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1260/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3e060b6e2e64d0efce158c51bf1b12a7764b4545
--- /dev/null
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index 0000000000000000000000000000000000000000..0313d92197681f879bc32f8bad06cb8dc5324138
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1260/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1260/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..63ea049399d7f392f6ac0fd100f2410f9d0e03d4
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1260/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1260/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1260/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1de8dbde48ac7d388d6171ed68b94066484aec44
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1260/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1261/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1261/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..384c2bcd4fe77768b04995f69a554d5eeab97118
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1261/150_180_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..b8ef1be3aad9ac12744a0d839c8318f7fd5247fa
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1261/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1261/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ac947293d293b315fc5b0e38b45bd2980f3a6f8f
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1261/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1261/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1261/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f27c107ba9802de65fad917e694df052a759c23e
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1261/300_360_equal_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1261/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1261/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..13da9ce955f5038ce625257d601116e2610e2917
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1261/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1266/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1266/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c517e34102878db50ccaff5ae75814d2234cd07a
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1266/150_180_equal_prob_strat.csv
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--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1266/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1266/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..bcdb6fb346fd5233f9256db49faa250f2276fb70
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1266/300_180_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1266/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1266/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..67f8dc6ffba450c6ea9728d4d822ef8f969338e2
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1266/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1266/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1266/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..fdaba64da4836c34bb7367f35afcd3949c66deee
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1266/300_360_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1267/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1267/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..936c59e5df6cfccbb202f5c57b62f732c0e82b05
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1267/150_180_equal_prob_strat.csv
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index 0000000000000000000000000000000000000000..89bcabce1999a518648de7211e8d244d928494ef
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index 0000000000000000000000000000000000000000..41b9cb1fe9d47eebaa0745a92c82def32fe87bc5
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diff --git a/model_assignments/bf_ps/prob_strat/1267/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1267/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..4a9df60ee5ca8d3bc948acc5d182d9b38b208f15
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1267/300_180_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1267/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1267/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..e9a36a075b08986b9d727d17498ebececdfb6039
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1267/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1267/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1267/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..e5b84453604f2cb1bb17977df41a576119fcfaf2
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1267/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1268/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1268/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..619c8150106b49ac158bc91f305b85a93ea4335e
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1268/150_180_equal_prob_strat.csv
@@ -0,0 +1,151 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1268/150_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1268/150_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..5910f361376efa73d3b7844f66d7baeb1c72274d
--- /dev/null
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index 0000000000000000000000000000000000000000..8388b067434e39e284a2d4a0b8e3f751c4ade660
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diff --git a/model_assignments/bf_ps/prob_strat/1268/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1268/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ab7445b065f861bbe2602298bfaffaedcf5423f3
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1268/300_180_extreme_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1268/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1268/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ca99fb64489d3a1bf9f95d044c27b8c28b16afba
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1268/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1268/300_360_extreme_prob_strat.csv
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index 0000000000000000000000000000000000000000..f0781547e6e04940af4828ede4e4689c564a633b
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1269/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..8310cb2b46d4f8edd64939c9c7c15c73ab5edbf1
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1269/150_180_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1269/150_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/150_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f7bada3ff0202aa730d4194e38ded772306a0d82
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1269/150_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1269/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/150_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..5a1b45b473e147f8ffbd7cd7ee204706bed5468b
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diff --git a/model_assignments/bf_ps/prob_strat/1269/300_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/300_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d36a28bf547f83158e09f8ece42f0427c21f58fd
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1269/300_180_equal_prob_strat.csv
@@ -0,0 +1,301 @@
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diff --git a/model_assignments/bf_ps/prob_strat/1269/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..4aee3823e06763a177e544a6ea1ef93f3c73bb5c
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1269/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1269/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c6523456e28282343a7459332ca98da426f40fa2
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1269/300_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1269/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1269/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..68d0f734e0e1f3c6f08481c07f791f70018ac3e2
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1269/300_360_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1273/150_180_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1273/150_180_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c3ff22604913468ee03e18c3acdb667a050ea549
--- /dev/null
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diff --git a/model_assignments/bf_ps/prob_strat/1273/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1273/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..ded3d2fecf654d7b8e420e53d4ce1c82d743f461
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1273/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1273/300_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1273/300_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3d037a3b13c9dae24f40ca7f6bad3801fe71f720
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1273/300_360_equal_prob_strat.csv
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new file mode 100644
index 0000000000000000000000000000000000000000..aafe2d383bb46ba780d54154bbc1d581d106d07d
--- /dev/null
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index 0000000000000000000000000000000000000000..1245b65c2b3fffc604c394fa484081552315abc5
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diff --git a/model_assignments/bf_ps/prob_strat/1274/150_360_equal_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1274/150_360_equal_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..0b788496c2c03b13394ea8d02695c374a9211592
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1274/150_360_equal_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1274/300_180_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1274/300_180_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..331f169fafed43b2b3cf99c90183ecea38697b94
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1274/300_180_extreme_prob_strat.csv
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diff --git a/model_assignments/bf_ps/prob_strat/1274/300_360_extreme_prob_strat.csv b/model_assignments/bf_ps/prob_strat/1274/300_360_extreme_prob_strat.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b0dccaa07504a7a5eb5de3ee2c724a82dccf1ba6
--- /dev/null
+++ b/model_assignments/bf_ps/prob_strat/1274/300_360_extreme_prob_strat.csv
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