leetcode410 Split Array Largest Sum

 1 class Solution
 2 {
 3 public:
 4     int splitArray(vector<int>& nums, int m)
 5     {
 6         int n = nums.size();
 7         vector<int> sum(n + 1, 0);
 8         for (int i = 1; i <= n; i++) sum[i] = sum[i - 1] + nums[i - 1];
 9         vector<vector<int>> dp(n + 1, vector<int>(m + 1, INT_MAX));
10         for (int i = 1; i <= n; i++) dp[i][1] = sum[i];
11         for (int i = 1; i <= n; i++)
12         {
13             for (int j = 2; j <= min(m, i); j++)
14             {
15                 for (int k = 1; k < i; k++)
16                 {
17                     int tmp = sum[i] - sum[k];
18                     dp[i][j] = min(dp[i][j], max(tmp, dp[k][j - 1]));
19                 }
20             }
21         }
22         return dp[n][m];
23     }
24 };