题解:P5924 [IOI2004] Phidias 菲迪亚斯神

· · 题解

枚举每块矩形可以划分成的两块子矩形,用子矩形的和的最小值更新 $f_{i,j}$。 因为可以横着划分也可以竖着划分,所以时间复杂度为 $O(W\cdot H\cdot(W+H))$。 代码: ```cpp #include <iostream> const int MAXN = 605; using namespace std; int w, h, n; int f[MAXN][MAXN]; int main() { ios::sync_with_stdio(false); cin >> w >> h; for (int i = 1; i <= w; ++i) { for (int j = 1; j <= h; ++j) { f[i][j] = i * j; } } cin >> n; for (int i = 1; i <= n; ++i) { int wi, hi; cin >> wi >> hi; f[wi][hi] = 0; } for (int i = 1; i <= w; ++i) { for (int j = 1; j <= h; ++j) { for (int k = 1; k <= i; ++k) { f[i][j] = min(f[i][j], f[k][j] + f[i - k][j]); } for (int k = 1; k <= j; ++k) { f[i][j] = min(f[i][j], f[i][k] + f[i][j - k]); } } } cout << f[w][h] << endl; return 0; } ```