SOLVE
LATER
Our hero - Maga has been working on a research related to Pascal’s Triangle for about a month. He has recently found a new problematic thing for his research. He has to calculate a big number. But he is very busy. Could you do it for him?
You are given a binomial as this: (a * x + b * y)^n. You have to find the binomial coefficient of x^k * y^(n-k) modulo 10^9+7.
Input:
You are given 4 integers: each space separated integers a, b, n and k.
Output:
Output 1 integer: the binomial coefficient of x^k * y^(n-k) mod (10^9+7).
Constraints:
1 <= a, b <= 100
1 <= n <= 10^6
1 <= k <= min(n,10^5)
The result is 6. In the (x+y)^4 binomial, the coefficient of x^2 * y^2 is 6.
Challenge Name
Women Techmakers Code Jam with GDG New Delhi
Women Techmakers Code Jam with GDG New Delhi