/* -*- coding: utf-8 -*- * * 1284.cc: No.1284 Flip Game - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 9; const int MAX_N2 = MAX_N * 2; const int N2BITS = 1 << MAX_N2; const int INF = ~(1U << 31); /* typedef */ /* global variables */ int cs[MAX_N][MAX_N]; int dp[N2BITS][MAX_N]; /* subroutines */ inline void setmin(int &a, int b) { if (a > b) a = b; } /* main */ int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) scanf("%d", cs[i] + j); int n2 = n * 2, n2bits = 1 << n2, n2msk = n2bits - 1; for (int bits = 0; bits < n2bits; bits++) fill(dp[bits], dp[bits] + n, INF); for (int i = 0, bi = 1; i < n; i++, bi <<= 1) dp[bi][i] = 0; for (int bits = 0; bits < n2bits; bits++) for (int i = 0; i < n; i++) if (dp[bits][i] < INF) { int bj0 = 1, bj1 = (1 << n); for (int j = 0; j < n; j++, bj0 <<= 1, bj1 <<= 1) if (i != j) { if (! (bits & bj0)) setmin(dp[bits | bj0][j], dp[bits][i] + cs[i][j]); else if (! (bits & bj1)) setmin(dp[bits | bj1][j], dp[bits][i] + cs[i][j]); } } int mind = INF; for (int i = 0, bi = (1 << n); i < n; i++, bi <<= 1) { setmin(mind, dp[n2msk][i]); setmin(mind, dp[n2msk ^ bi][i]); } printf("%d\n", mind); return 0; }