diff --git a/TangDou/Topic/【前缀和与差分】题单.md b/TangDou/Topic/【前缀和与差分】题单.md index 5951421..65c2a35 100644 --- a/TangDou/Topic/【前缀和与差分】题单.md +++ b/TangDou/Topic/【前缀和与差分】题单.md @@ -340,7 +340,39 @@ int main() { 就和$P1115$的做法一样了! +**$Code$** + +```cpp {.line-numbers} +#include +using namespace std; + +const int N = 330; +int n; +int a[N][N], s[N][N], dp[N]; +int res = INT_MIN; + +int main() { + cin >> n; + // 前缀和(竖直方向) + for (int i = 1; i <= n; i++) + for (int j = 1; j <= n; j++) { + cin >> a[i][j]; + s[i][j] = s[i - 1][j] + a[i][j]; // 一维前缀和,这可不是二维前缀和 + } + + // 降维变成一维dp + for (int i = 0; i <= n - 1; i++) // 枚举左上角 + for (int j = i + 1; j <= n; j++) // 枚举右下角 + for (int k = 1; k <= n; k++) { // 枚举每一列 + dp[k] = max(s[j][k] - s[i][k], dp[k - 1] + s[j][k] - s[i][k]); + res = max(res, dp[k]); + } + // 输出 + cout << res << endl; + return 0; +} +``` #### [$P2004$ 领地选择](https://www.luogu.com.cn/problem/P2004)