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3.27 kB
| using namespace std; | |
| int main() { | |
| int n; | |
| cin >> n; | |
| vector<int> val_at_pos(n + 1, 0); // known value at each position (0 = unknown) | |
| vector<int> pos_of_val(n + 1, 0); // known position of each value (0 = unknown) | |
| vector<int> undetermined; | |
| // Step 1: find positions of values 1 and 2 using n queries | |
| for (int i = 1; i <= n; ++i) { | |
| cout << 0; | |
| for (int j = 1; j <= n; ++j) { | |
| if (j == i) cout << " 2"; | |
| else cout << " 1"; | |
| } | |
| cout << endl; | |
| cout.flush(); | |
| int ans; | |
| cin >> ans; | |
| if (ans == 0) { | |
| // position i has value 1 | |
| val_at_pos[i] = 1; | |
| pos_of_val[1] = i; | |
| } else if (ans == 2) { | |
| // position i has value 2 | |
| val_at_pos[i] = 2; | |
| pos_of_val[2] = i; | |
| } | |
| // if ans == 1, the position has neither 1 nor 2 | |
| } | |
| // collect undetermined positions | |
| for (int i = 1; i <= n; ++i) { | |
| if (val_at_pos[i] == 0) { | |
| undetermined.push_back(i); | |
| } | |
| } | |
| // Step 2: determine positions of values 3 .. n | |
| for (int v = 3; v <= n; ++v) { | |
| if (undetermined.empty()) break; | |
| int m = undetermined.size(); | |
| if (m == 1) { | |
| // only one undetermined position left | |
| int pos = undetermined[0]; | |
| val_at_pos[pos] = v; | |
| pos_of_val[v] = pos; | |
| undetermined.pop_back(); | |
| continue; | |
| } | |
| int d = 0; | |
| while ((1 << d) < m) ++d; // d = ceil(log2(m)) | |
| int idx_v = 0; // index (in undetermined) of the position that holds value v | |
| for (int bit = 0; bit < d; ++bit) { | |
| // build query for this bit | |
| vector<int> q(n + 1, 0); | |
| // set known positions to their correct values | |
| for (int i = 1; i <= n; ++i) { | |
| if (val_at_pos[i] != 0) { | |
| q[i] = val_at_pos[i]; | |
| } | |
| } | |
| // set undetermined positions: those with bit set get v, others get 1 (safe filler) | |
| for (int j = 0; j < m; ++j) { | |
| int i = undetermined[j]; | |
| if ((j >> bit) & 1) { | |
| q[i] = v; | |
| } else { | |
| q[i] = 1; | |
| } | |
| } | |
| cout << 0; | |
| for (int i = 1; i <= n; ++i) { | |
| cout << " " << q[i]; | |
| } | |
| cout << endl; | |
| cout.flush(); | |
| int ans; | |
| cin >> ans; | |
| if (ans == v) { // the bit is 1 | |
| idx_v |= (1 << bit); | |
| } | |
| // if ans == v-1, the bit is 0 | |
| } | |
| // now idx_v is the index of the position that holds value v | |
| int pos = undetermined[idx_v]; | |
| val_at_pos[pos] = v; | |
| pos_of_val[v] = pos; | |
| // remove this position from undetermined (swap with last and pop) | |
| swap(undetermined[idx_v], undetermined[m - 1]); | |
| undetermined.pop_back(); | |
| } | |
| // output the final permutation | |
| cout << 1; | |
| for (int i = 1; i <= n; ++i) { | |
| cout << " " << val_at_pos[i]; | |
| } | |
| cout << endl; | |
| cout.flush(); | |
| return 0; | |
| } |