用C++代码写一个区间dp的模板
时间: 2023-05-15 16:07:22 浏览: 129
以下是一个简单的区间dp的模板,使用C语言编写:
```c
#include <stdio.h>
#include <stdlib.h>
#define MAXN 1000
int dp[MAXN][MAXN];
int main() {
int n;
scanf("%d", &n);
int a[MAXN];
for (int i = 0; i < n; i++) {
scanf("%d", &a[i]);
}
// 初始化dp数组
for (int i = 0; i < n; i++) {
dp[i][i] = a[i];
}
// 递推计算dp数组
for (int len = 2; len <= n; len++) {
for (int i = 0; i <= n - len; i++) {
int j = i + len - 1;
dp[i][j] = dp[i][i] + dp[i+1][j];
for (int k = i+1; k < j; k++) {
dp[i][j] = max(dp[i][j], dp[i][k] + dp[k+1][j]);
}
}
}
// 输出结果
printf("%d\n", dp[0][n-1]);
return 0;
}
```
这个模板可以用来解决一些区间dp问题,例如最长回文子序列、最大子段和等问题。
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