C语言动态规划解决最优二叉搜索树
时间: 2023-06-09 11:06:35 浏览: 178
的实现代码是什么?
以下是C语言动态规划解决最优二叉搜索树的实现代码:
```
#include <stdio.h>
#include <limits.h>
int sum(int freq[], int i, int j);
int optimalSearchTree(int keys[], int freq[], int n)
{
int cost[n + 1][n + 1];
for (int i = 1; i <= n; i++)
cost[i][i] = freq[i];
for (int L = 2; L <= n; L++) {
for (int i = 1; i <= n - L + 1; i++) {
int j = i + L - 1;
cost[i][j] = INT_MAX;
for (int k = i; k <= j; k++) {
int temp = cost[i][k - 1] + cost[k + 1][j] + sum(freq, i, j);
if (temp < cost[i][j])
cost[i][j] = temp;
}
}
}
return cost[1][n];
}
int sum(int freq[], int i, int j)
{
int s = 0;
for (int k = i; k <= j; k++)
s += freq[k];
return s;
}
int main()
{
int keys[] = {10, 12, 20};
int freq[] = {34, 8, 50};
int n = sizeof(keys) / sizeof(keys[0]);
printf("Cost of Optimal BST is %d", optimalSearchTree(keys, freq, n));
return 0;
}
```
这段代码实现了动态规划解决最优二叉搜索树的算法。其中,keys[]表示二叉搜索树中每个节点的键值,freq[]表示每个键值出现的次数,n表示节点数。代码中,先初始化cost[i][i]为freq[i],然后枚举节点数L和起始节点i,实现了二叉搜索树的动态规划过程,最终返回cost[1][n]作为最优二叉搜索树的代价。
阅读全文