# Simple python dp 70ms

• ``````def minPathSum(self, grid):
m = len(grid)
n = len(grid[0])
for i in range(1, n):
grid[0][i] += grid[0][i-1]
for i in range(1, m):
grid[i][0] += grid[i-1][0]
for i in range(1, m):
for j in range(1, n):
grid[i][j] += min(grid[i-1][j], grid[i][j-1])
return grid[-1][-1]``````

• ``````def minPathSum(self, grid):
M, N = len(grid), len(grid[0])
dp = [0] + [sys.maxint] * (N-1)
for i in range(M):
dp[0] = dp[0] + grid[i][0]
for j in range(1, N):
dp[j] = min(dp[j-1], dp[j]) + grid[i][j]
return dp[-1]``````

• Golang version:

``````func minPathSum(grid [][]int) int {
m := len(grid)
n := len(grid[0])
for  i := 0; i < m; i++ {
for  j := 0; j < n; j++ {
if i == 0 && j != 0 {
grid[i][j] += grid[i][j-1]
} else if i != 0 && j == 0 {
grid[i][j] += grid[i-1][j]
} else if i == 0 && j == 0 {
grid[i][j] = grid[i][j]
} else {
grid[i][j] += min(grid[i][j-1], grid[i-1][j]);
}
}
}
return grid[m-1][n-1]
}

func min(a int, b int) int {
if a > b {
return b
} else {
return a
}
}
``````

Javascript version:

``````/**
* @param {number[][]} grid
* @return {number}
*/
var minPathSum = function(grid) {
var m = grid.length;
var n = grid[0].length;
for(var i = 0; i < m; i++) {
for(var j = 0; j < n; j++) {
if(i == 0 && j != 0) {
grid[i][j] += grid[i][j-1];
} else if(i != 0 && j == 0) {
grid[i][j] += grid[i-1][j];
} else if(i == 0 && j == 0) {
grid[i][j] = grid[i][j];
} else {
grid[i][j] += Math.min(grid[i][j-1], grid[i-1][j]);
}
}
}
return grid[m-1][n-1];
};
``````

• @luanmaova
can not believe we have the exact same code, even with the variable name, the Indentation, everything lol.

• Can anyone tell me why the code below is wrong? maybe I shouldn't assign value to ans itself？
Thank you!

"""
def minPathSum(grid):
if len(grid)==0:
return 0
m, n=len(grid), len(grid[0])
ans= [[0 for _ in range(n+1)] for _ in range(m+1)]
for i in range(1, m+1):
for j in range(1, n+1):
ans[i][j] += min(ans[i-1][j], ans[i][j-1]) + grid[i-1][j-1]

return ans[m][n]
"""

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