DSA/algorithms/CPlusPlus/Dynamic-Programming/minimum-pathsum.cpp

37 lines
859 B
C++

// (problem Link) - [https://leetcode.com/problems/minimum-path-sum/]
#include <bits/stdc++.h>
using namespace std;
int minSumPathUtil(int i, int j,vector<vector<int>> &matrix,vector<vector<int>> &dp)
{
if(i==0 && j == 0)
return matrix[0][0];
if(i<0 || j<0)
return 1e9;
if(dp[i][j]!=-1) return dp[i][j];
int up = matrix[i][j]+minSumPathUtil(i-1,j,matrix,dp);
int left = matrix[i][j]+minSumPathUtil(i,j-1,matrix,dp);
return dp[i][j] = min(up,left);
}
int minSumPath(int n, int m, vector<vector<int> > &matrix){
vector<vector<int> > dp(n,vector<int>(m,-1));
return minSumPathUtil(n-1,m-1,matrix,dp);
}
int main() {
vector<vector<int> > matrix{{5,9,6},
{11,5,2}};
int n = matrix.size();
int m = matrix[0].size();
cout<<minSumPath(n,m,matrix);
}