64. Minimum Path Sum (Graph; DP)
Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right which minimizes the sum of all numbers along its path.
Note: You can only move either down or right at any point in time.
class Solution {
public:
int minPathSum(vector<vector<int>> &grid) {
if(grid.empty()) return ; vector<vector<int>> dp(grid.size(), vector<int>(grid[].size(), ));
dp[][] = grid[][];
for(int i = ; i< grid[].size(); i++)
{
dp[][i] = dp[][i-] + grid[][i];
}
for(int i = ; i< grid.size(); i++)
{
dp[i][] = dp[i-][] + grid[i][];
} for(int i = ;i<grid.size(); i++)
{
for(int j = ; j< grid[].size(); j++)
{
dp[i][j] = min(dp[i-][j], dp[i][j-]) + grid[i][j];
}
}
return dp[grid.size()-][grid[].size()-];
}
};
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