/* -*- coding: utf-8 -*- * * 1690.cc: No.1690 Power Grid - 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 = 18; const int NBITS = 1 << MAX_N; const long long LINF = 1LL << 60; /* typedef */ typedef long long ll; /* global variables */ int as[MAX_N]; ll ds[MAX_N][MAX_N]; ll dp[NBITS]; /* subroutines */ inline void setmin(ll &a, ll b) { if (a > b) a = b; } inline int bnums(int bits) { int c = 0; for (; bits > 0; bits >>= 1) if (bits & 1) c++; return c; } /* main */ int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) scanf("%d", as + i); for (int i = 0; i < n; i++) fill(ds[i], ds[i] + n, LINF), ds[i][i] = 0; for (int i = 0; i < m; i++) { int x, y, z; scanf("%d%d%d", &x, &y, &z); x--, y--; ds[x][y] = ds[y][x] = z; } for (int h = 0; h < n; h++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) ds[i][j] = min(ds[i][j], ds[i][h] + ds[h][j]); int nbits = 1 << n; fill(dp, dp + nbits, LINF); for (int i = 0; i < n; i++) dp[1 << i] = as[i]; for (int bits = 1; bits < nbits; bits++) { for (int i = 0, bi = 1; i < n; i++, bi <<= 1) if (! (bits & bi)) { ll mind = LINF; for (int j = 0, bj = 1; j < n; j++, bj <<= 1) if (bits & bj) mind = min(mind, ds[i][j]); setmin(dp[bits | bi], dp[bits] + as[i] + mind); } } ll mindp = LINF; for (int bits = 1; bits < nbits; bits++) if (bnums(bits) == k) setmin(mindp, dp[bits]); printf("%lld\n", mindp); return 0; }