text: Counts paths from a point to reach Origin | C ++ program to count total number of paths from a point to origin ; DP based function to count number of paths ; Fill entries in bottommost row and leftmost columns ; Fill DP in bottom up manner ; Driver Code
code: #include <bits/stdc++.h> NEW_LINE using namespace std ; int countPaths ( int n , int m ) { int dp [ n + 1 ] [ m + 1 ] ; for ( int i = 0 ; i <= n ; i ++ ) dp [ i ] [ 0 ] = 1 ; for ( int i = 0 ; i <= m ; i ++ ) dp [ 0 ] [ i ] = 1 ; for ( int i = 1 ; i <= n ; i ++ ) for ( int j = 1 ; j <= m ; j ++ ) dp [ i ] [ j ] = dp [ i - 1 ] [ j ] + dp [ i ] [ j - 1 ] ; return dp [ n ] [ m ] ; } int main ( ) { int n = 3 , m = 2 ; cout << " ▁ Number ▁ of ▁ Paths ▁ " << countPaths ( n , m ) ; return 0 ; }