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: using System ; public class GFG { static int countPaths ( int n , int m ) { int [ , ] dp = new int [ 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 ] ; } public static void Main ( ) { int n = 3 , m = 2 ; Console . WriteLine ( " ▁ Number ▁ of " + " ▁ Paths ▁ " + countPaths ( n , m ) ) ; } }