Maximum binomial coefficient term value | CPP Program to find maximum binomial coefficient term ; Returns value of Binomial Coefficient C ( n , k ) ; Calculate value of Binomial Coefficient in bottom up manner ; Base Cases ; Calculate value using previously stored values ; Return maximum binomial coefficient term value . ; if n is even ; if n is odd ; Driven Program
#include <bits/stdc++.h> NEW_LINE using namespace std ; int binomialCoeff ( int n , int k ) { int C [ n + 1 ] [ k + 1 ] ; for ( int i = 0 ; i <= n ; i ++ ) { for ( int j = 0 ; j <= min ( i , k ) ; j ++ ) { if ( j == 0 j == i ) C [ i ] [ j ] = 1 ; else C [ i ] [ j ] = C [ i - 1 ] [ j - 1 ] + C [ i - 1 ] [ j ] ; } } return C [ n ] [ k ] ; } int maxcoefficientvalue ( int n ) { if ( n % 2 == 0 ) return binomialCoeff ( n , n / 2 ) ; else return binomialCoeff ( n , ( n + 1 ) / 2 ) ; } int main ( ) { int n = 4 ; cout << maxcoefficientvalue ( n ) << endl ; return 0 ; }