#include using namespace std; const int MAX = 100000000; int get_error(int a, int b) { return min(abs(a - b), MAX - abs(a - b)); } int get_score(int N, vector> A, vector> C) { int res = 0; for (int i = 0; i < N; i++) { for (int j = 0; j <= i; j++) res = max(res, get_error(A[i][j], C[i][j])); } return res; } vector get_answer(int N, vector> A) { int StartTime = clock(); int BestError = (1 << 30); vector BestAns; // Loops while (clock() - StartTime < 5 * CLOCKS_PER_SEC / 10) { vector> C(N, vector(N, 0)); C[0][0] = rand() % 100000000; for (int i = 0; i < N - 1; i++) { pair minv = make_pair((1 << 30), -1); for (int b = 0; b < MAX; b += 100000) { C[i + 1][0] = b; int maxv = get_error(C[i + 1][0], A[i + 1][0]); for (int j = 0; j <= i; j++) { C[i + 1][j + 1] = (C[i][j] - C[i + 1][j] + MAX) % MAX; maxv = max(maxv, get_error(C[i + 1][j + 1], A[i + 1][j + 1])); } minv = min(minv, make_pair(maxv, b)); } C[i + 1][0] = minv.second; for (int j = 0; j <= i; j++) { C[i + 1][j + 1] = (C[i][j] - C[i + 1][j] + MAX) % MAX; } } // Calculate Score int CandError = get_score(N, A, C); if (BestError > CandError) { BestError = CandError; BestAns = C[N - 1]; } } return BestAns; } int main() { // Step 1. Input int N; cin >> N; vector> A(N, vector(N, 0)); for (int i = 0; i < N; i++) { for (int j = 0; j <= i; j++) cin >> A[i][j]; } // Step 2. Solve vector Answer = get_answer(N, A); for (int i = 0; i < N; i++) { if (i >= 1) cout << " "; cout << Answer[i]; } cout << endl; return 0; }