/* -*- coding: utf-8 -*- * * 1045.cc: No.1045 直方体大学 - 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 = 16; const int NBITS = 1 << MAX_N; /* typedef */ /* global variables */ int xs[MAX_N][3], ys[MAX_N][3], zs[MAX_N][3]; int dp[NBITS][MAX_N][3]; /* subroutines */ inline void setmax(int &a, int b) { if (a < b) a = b; } /* main */ int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); xs[i][0] = min(a, b), ys[i][0] = max(a, b), zs[i][0] = c; xs[i][1] = min(b, c), ys[i][1] = max(b, c), zs[i][1] = a; xs[i][2] = min(c, a), ys[i][2] = max(c, a), zs[i][2] = b; } int nbits = 1 << n; memset(dp, -1, sizeof(dp)); for (int i = 0; i < n; i++) for (int j = 0; j < 3; j++) dp[1 << i][i][j] = zs[i][j]; for (int bits = 1; bits < nbits; bits++) for (int i = 0; i < n; i++) for (int j = 0; j < 3; j++) if (dp[bits][i][j] >= 0) for (int i1 = 0, bi = 1; i1 < n; i1++, bi <<= 1) if (! (bits & bi)) for (int j1 = 0; j1 < 3; j1++) if (xs[i][j] >= xs[i1][j1] && ys[i][j] >= ys[i1][j1]) setmax(dp[bits | bi][i1][j1], dp[bits][i][j] + zs[i1][j1]); int maxd = 0; for (int bits = 1; bits < nbits; bits++) for (int i = 0; i < n; i++) for (int j = 0; j < 3; j++) setmax(maxd, dp[bits][i][j]); printf("%d\n", maxd); return 0; }