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leetcode. Triangle

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below.

For example, given the following triangle

[     [2],    [3,4],   [6,5,7],  [4,1,8,3]]

 

The minimum path sum from top to bottom is 11 (i.e., 2 + 3 + 5 + 1 = 11).

Note:
Bonus point if you are able to do this using only O(n) extra space, where n is the total number of rows in the triangle.

下一层的值

minPath[i][j] += min(minPath[i - 1][j - 1], minPath[i - 1][j]);

 1 int minimumTotal(vector<vector<int> > &triangle)  2     { 3         vector<vector<int> > minPath(triangle); 4         int min_path = INT_MAX, i, j; 5          6         for (i = 1; i < triangle.size(); i++) 7         { 8             for (j = 0; j <= i; j++) 9             {10                 if (j == 0)11                     minPath[i][j] += minPath[i - 1][j];12                 else if (j == i)13                     minPath[i][j] += minPath[i - 1][j - 1];14                 else 15                     minPath[i][j] += min(minPath[i - 1][j - 1], minPath[i - 1][j]);16             }17         }18         19         for (j = 0; j < i; j++)20             min_path = min(min_path, minPath[i - 1][j]);21             22         return min_path;23     }

 

leetcode. Triangle