/* -*- coding: utf-8 -*- * * 496.cc: No.496 ワープクリスタル (給料日前編) - 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 = 50; const int MAX_X = 100, MAX_Y = 100; const int INF = 1 << 30; /* typedef */ /* global variables */ int cxs[MAX_N], cys[MAX_N], cs[MAX_N]; int dp[2][(MAX_Y + 1) * (MAX_X + 1)]; /* subroutines */ inline void setmin(int &a, int b) { if (a > b) a = b; } /* main */ int main() { int gx, gy, n, f; cin >> gx >> gy >> n >> f; for (int i = 0; i < n; i++) cin >> cxs[i] >> cys[i] >> cs[i]; int dn = (gy + 1) * (gx + 1); for (int i = 0; i < 2; i++) fill(dp[i], dp[i] + dn, INF); dp[0][0] = 0; int cur = 0, nxt = 1; for (int i = 0; i < n; i++) { copy(dp[cur], dp[cur] + dn, dp[nxt]); for (int y0 = 0, y1 = cys[i]; y1 <= gy; y0++, y1++) for (int x0 = 0, x1 = cxs[i]; x1 <= gx; x0++, x1++) { int &d0 = dp[cur][y0 * (gx + 1) + x0]; if (d0 < INF) setmin(dp[nxt][y1 * (gx + 1) + x1], d0 + cs[i]); } cur ^= 1, nxt ^= 1; } int minc = INF; for (int y = 0, p = 0; y <= gy; y++) for (int x = 0; x <= gx; x++, p++) if (dp[cur][p] < INF) setmin(minc, dp[cur][p] + ((gx - x) + (gy - y)) * f); printf("%d\n", minc); return 0; }