How many strings can be obtained by applying the following operation on a string S exactly K times: "choose one lowercase English letter and insert it somewhere"?

The answer can be enormous, so print it modulo (10^9+7).

Constraints

* K is an integer between 1 and 10^6 (inclusive).
* S is a string of length between 1 and 10^6 (inclusive) consisting of lowercase English letters.

Input

Input is given from Standard Input in the following format:


K
S


Output

Print the number of strings satisfying the condition, modulo (10^9+7).

Examples

Input

5
oof


Output

575111451


Input

37564
whydidyoudesertme


Output

318008117
# フェルマーの小定理
def main():
    from builtins import pow

    K = int(input())
    S = input()

    m = 1000000007

    result = 0
    a = 1
    b = 1
    t = pow(26, K, m)
    u = pow(26, m - 2, m) * 25 % m
    l = len(S)
    for i in range(K + 1):
        # result += pow(26, K - i, m) * mcomb(len(S) - 1 + i, i) * pow(25, i, m)
        result += t * (a * pow(b, m - 2, m))
        result %= m
        t *= u
        t %= m
        a *= l + i
        a %= m
        b *= i + 1
        b %= m
    print(result)


main()
