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Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,809
19
71,618
"Correct Solution: ``` from sys import setrecursionlimit setrecursionlimit(100000) N,K = map(int,input().split()) A = tuple(map(int,input().split())) dp = [False]*(K+1) for n,v in enumerate(dp): if not v: for a in A: if n+a <= K: dp[n+a] = True print('First' if dp[K] else 'Second') ```
output
1
35,809
19
71,619
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,810
19
71,620
"Correct Solution: ``` n, k = map(int, input().split()) a = list(map(int, input().split())) dp = [0] * (k + 1) for i in range(k + 1): if dp[i] == 0: for j in a: if i + j > k: break else: dp[i + j] = 1 print("First" if dp[k] else "Second") ```
output
1
35,810
19
71,621
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,811
19
71,622
"Correct Solution: ``` n,k=map(int,input().split()) li=[int(k) for k in input().split()] dp=[False]*(k+1) for i in range(1,k+1): for j in range(len(li)): if i-li[j]<0: continue if dp[i-li[j]]==False: dp[i]=True break if dp[k]==True: print("First") else: print("Second") ```
output
1
35,811
19
71,623
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,812
19
71,624
"Correct Solution: ``` def main(): n, k, *a = map(int, open(0).read().split()) g = [0] * (k + 1) for i in range(min(a), k + 1): s = set(g[i - x] for x in a if i >= x) r = 0 while r in s: r += 1 g[i] = r print("First" if g[-1] else "Second") if __name__=="__main__": main() ```
output
1
35,812
19
71,625
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,813
19
71,626
"Correct Solution: ``` n,k = [int(x) for x in input().split()] a = [int(x) for x in input().split()] dp = [False]*(k+1) for i,x in enumerate(dp): if not x: for ai in a: if i+ai <= k:dp[i+ai] = True if dp[k]:print('First') else : print('Second') ```
output
1
35,813
19
71,627
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,814
19
71,628
"Correct Solution: ``` N,K=list(map(int,input().strip().split(" "))) A=list(map(int,input().strip().split(" "))) dp=[0]*(K+1) dp[0]=0 for i in range(1,len(dp)): for j in range(len(A)): if i<A[j]: break if dp[i-A[j]]==0: dp[i]=1 if dp[-1]==1: print("First") e...
output
1
35,814
19
71,629
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,815
19
71,630
"Correct Solution: ``` N, K = map(int, input().split()) a = tuple(map(int, input().split())) def main(): l = [False] * (K+1) for i in range(a[0] -1, K+1): l[i] = any(not l[i-j] if i >= j else False for j in a) if l[-1]: print('First') else: print('Second') main() ```
output
1
35,815
19
71,631
Provide a correct Python 3 solution for this coding contest problem. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K stones. The two players perform the following operation alte...
instruction
0
35,816
19
71,632
"Correct Solution: ``` n, k = map(int, input().split()) a = list(map(int, input().split())) dp = [0] * (k+1) #残りの石iで回ってきたときの勝敗 for i in range(k+1): dp[i] = 0 for j in a: if j > i: break if 1 - dp[i-j]: dp[i] = 1 break print(['Second', 'First'][dp[k]]) ```
output
1
35,816
19
71,633
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,817
19
71,634
Yes
output
1
35,817
19
71,635
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,818
19
71,636
Yes
output
1
35,818
19
71,637
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,819
19
71,638
Yes
output
1
35,819
19
71,639
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,820
19
71,640
Yes
output
1
35,820
19
71,641
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,821
19
71,642
No
output
1
35,821
19
71,643
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,822
19
71,644
No
output
1
35,822
19
71,645
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,823
19
71,646
No
output
1
35,823
19
71,647
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set A = \\{ a_1, a_2, \ldots, a_N \\} consisting of N positive integers. Taro and Jiro will play the following game against each other. Initially, we have a pile consisting of K ston...
instruction
0
35,824
19
71,648
No
output
1
35,824
19
71,649
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,260
19
72,520
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` for T in range(int(input())): n=int(input()) a=list(map(int,input().split())) m=max(a) s=0 for i in a: s+=i if(m > (s-m) or (s & 1) or n==1): print('T') else: print('HL') ```
output
1
36,260
19
72,521
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,261
19
72,522
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` from sys import stdin input = stdin.buffer.readline for _ in range(int(input())): n = int(input()) *a, = map(int, input().split()) idx = -1 c = 0 while 1: mx = 0 tmp = -1 for i in range(n): if i != idx and a[i] > mx: mx = ...
output
1
36,261
19
72,523
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,262
19
72,524
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` for t in range(int(input())): n = int(input()) a = list(map(int, input().split())) m=max(a) s=sum(a) if n==1 or s<2*m or s%2!=0: print('T') else: print('HL') ```
output
1
36,262
19
72,525
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,263
19
72,526
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` for _ in range(int(input())): n=int(input()) a=list(map(int,input().split())) if n==1: print('T') else: s=sum(a) m=max(a) check=abs(s-m) if check<m: print('T') else...
output
1
36,263
19
72,527
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,264
19
72,528
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` for _ in range(int(input())): n=int(input()) a=sorted(list(map(int,input().split()))) s=sum(a[:-1]) if a[-1]>s:print('T') else:print(['HL','T'][(s+a[-1])%2]) ```
output
1
36,264
19
72,529
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,265
19
72,530
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` for _ in range(int(input())): n = int(input()) a = sorted([int(i) for i in input().split()]) if n == 1: print("T") else: summ = 0 for i in range(n-1): summ += a[i] if a...
output
1
36,265
19
72,531
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,266
19
72,532
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` import heapq t=int(input()) while t: n=int(input()) l=list(map(int,input().split())) h=[] for i in range(n): heapq.heappush(h,(-l[i],i)) lol=0 prev1=-1 prev2=-1 lel=0 while h: if(lol==0): ...
output
1
36,266
19
72,533
Provide tags and a correct Python 3 solution for this coding contest problem. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a sin...
instruction
0
36,267
19
72,534
Tags: brute force, constructive algorithms, games, greedy Correct Solution: ``` for _ in range(int(input())): n = int(input()) a = list(map(int, input().split())) a.sort() l = sum(a[:-1]) if a[-1] > l: print("T") else: if abs(l - a[-1]) % 2 == 0: print("HL") e...
output
1
36,267
19
72,535
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,268
19
72,536
Yes
output
1
36,268
19
72,537
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,269
19
72,538
Yes
output
1
36,269
19
72,539
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,270
19
72,540
Yes
output
1
36,270
19
72,541
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,271
19
72,542
Yes
output
1
36,271
19
72,543
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,272
19
72,544
No
output
1
36,272
19
72,545
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,273
19
72,546
No
output
1
36,273
19
72,547
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,274
19
72,548
No
output
1
36,274
19
72,549
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. T is playing a game with his friend, HL. There are n piles of stones, the i-th pile initially has a_i stones. T and HL will take alternating turns, with T going first. In each turn, a player ...
instruction
0
36,275
19
72,550
No
output
1
36,275
19
72,551
Provide tags and a correct Python 3 solution for this coding contest problem. The Alice's computer is broken, so she can't play her favorite card game now. To help Alice, Bob wants to answer n her questions. Initially, Bob holds one card with number 0 in the left hand and one in the right hand. In the i-th question,...
instruction
0
36,345
19
72,690
Tags: binary search, constructive algorithms, data structures, dp, greedy, implementation Correct Solution: ``` import sys input = sys.stdin.readline n, m = map(int, input().split()) K, A0, B0, A1, B1 = [], [], [], [], [] for _ in range(n): k = int(input()) a0, b0 = map(int, input().split()) a1, b1 = map(i...
output
1
36,345
19
72,691
Provide tags and a correct Python 3 solution for this coding contest problem. The Alice's computer is broken, so she can't play her favorite card game now. To help Alice, Bob wants to answer n her questions. Initially, Bob holds one card with number 0 in the left hand and one in the right hand. In the i-th question,...
instruction
0
36,346
19
72,692
Tags: binary search, constructive algorithms, data structures, dp, greedy, implementation Correct Solution: ``` from sys import stdin, stdout n, m = [int(y) for y in stdin.readline().split()] x = [] left_lower = [] left_upper = [] right_lower = [] right_upper = [] for _ in range(n): x.append(int(stdin.readline()...
output
1
36,346
19
72,693
Provide tags and a correct Python 3 solution for this coding contest problem. The Alice's computer is broken, so she can't play her favorite card game now. To help Alice, Bob wants to answer n her questions. Initially, Bob holds one card with number 0 in the left hand and one in the right hand. In the i-th question,...
instruction
0
36,347
19
72,694
Tags: binary search, constructive algorithms, data structures, dp, greedy, implementation Correct Solution: ``` def solve(): n, m = map(int, input().split()) arr = [] ql = [] qr = [] for i in range(n): arr.append(int(input())) ql.append(list(map(int, input().split()))) qr.app...
output
1
36,347
19
72,695
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Alice's computer is broken, so she can't play her favorite card game now. To help Alice, Bob wants to answer n her questions. Initially, Bob holds one card with number 0 in the left hand a...
instruction
0
36,348
19
72,696
No
output
1
36,348
19
72,697
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Alice's computer is broken, so she can't play her favorite card game now. To help Alice, Bob wants to answer n her questions. Initially, Bob holds one card with number 0 in the left hand a...
instruction
0
36,349
19
72,698
No
output
1
36,349
19
72,699
Provide tags and a correct Python 3 solution for this coding contest problem. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very much, so he wants the sum of the numbers on the u...
instruction
0
36,430
19
72,860
Tags: implementation, math Correct Solution: ``` n = int(input()) up = [] do = [] for i in range(n): a, b = map(int, input().split()) up.append(a) do.append(b) sum_up = sum(up) sum_do = sum(do) if sum_up % 2 == 0 and sum_do % 2 == 0: print(0) elif sum_up % 2 != sum_do % 2: print(-1) else: found ...
output
1
36,430
19
72,861
Provide tags and a correct Python 3 solution for this coding contest problem. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very much, so he wants the sum of the numbers on the u...
instruction
0
36,432
19
72,864
Tags: implementation, math Correct Solution: ``` if __name__ == '__main__': n = int(input()) num = 0 state = [0, 0] for i in range(n): a, b = map(int, input().split()) a %= 2 b %= 2 if a != b: num += 1 state[0] += a state[1] += b state[0] %...
output
1
36,432
19
72,865
Provide tags and a correct Python 3 solution for this coding contest problem. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very much, so he wants the sum of the numbers on the u...
instruction
0
36,433
19
72,866
Tags: implementation, math Correct Solution: ``` n=int(input()) c=0 sx=0 sy=0 for _ in range(n): x,y=map(int,input().split()) sx+=x sy+=y if(x%2!=y%2): c+=1 if(sx%2==0 and sy%2==0): print(0) elif(c%2==0 and c>0): print(1) else: print(-1) ```
output
1
36,433
19
72,867
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,436
19
72,872
Yes
output
1
36,436
19
72,873
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,437
19
72,874
Yes
output
1
36,437
19
72,875
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,438
19
72,876
Yes
output
1
36,438
19
72,877
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,439
19
72,878
Yes
output
1
36,439
19
72,879
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,440
19
72,880
No
output
1
36,440
19
72,881
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,441
19
72,882
No
output
1
36,441
19
72,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,442
19
72,884
No
output
1
36,442
19
72,885
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera has got n domino pieces in a row. Each piece consists of two halves — the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very mu...
instruction
0
36,443
19
72,886
No
output
1
36,443
19
72,887
Provide tags and a correct Python 3 solution for this coding contest problem. The employees of the F company have lots of ways to entertain themselves. Today they invited a famous magician who shows a trick with plastic cups and a marble. The point is to trick the spectator's attention. Initially, the spectator stand...
instruction
0
36,454
19
72,908
Tags: data structures Correct Solution: ``` import io import os # List with O(n^1/3) (for n=10**6) get/set/insert/delete based on: https://github.com/cheran-senthil/PyRival/blob/master/pyrival/data_structures/SortedList.py class UnsortedList: def __init__(self, iterable=[], _load=1000): """Initialize sor...
output
1
36,454
19
72,909
Provide tags and a correct Python 3 solution for this coding contest problem. The employees of the F company have lots of ways to entertain themselves. Today they invited a famous magician who shows a trick with plastic cups and a marble. The point is to trick the spectator's attention. Initially, the spectator stand...
instruction
0
36,455
19
72,910
Tags: data structures Correct Solution: ``` import io import os # List with O(n^1/3) (for n=10**6) get/set/insert/delete based on: https://github.com/cheran-senthil/PyRival/blob/master/pyrival/data_structures/SortedList.py class UnsortedList: def __init__(self, iterable=[], _load=600): """Initialize sort...
output
1
36,455
19
72,911