Fill the subset table in bottom up manner
for ( int i = 1 ; i <= n ; i ++ ) { for ( int j = 1 ; j <= sum ; j ++ ) { if ( j < arr [ i - 1 ] ) subset [ i ] [ j ] = subset [ i - 1 ] [ j ] ; if ( j >= arr [ i - 1 ] ) subset [ i ] [ j ] = subset [ i - 1 ] [ j ] || subset [ i - 1 ] [ j - arr [ i - 1 ] ] ; } } return subset [ n ] [ sum ] ; }