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
k = int(input())
s = len(input())
MOD = 10 ** 9 + 7


def mod_inv(n):
    return pow(n, MOD - 2, MOD)

total = pow(26, k + s, MOD)
tmp = pow(25, k + s, MOD)
total = (total - tmp) % MOD

for i in range(0, s-1):
    tmp = ((tmp * ((k+s) - i)) % MOD * mod_inv((i + 1) * 25)) % MOD
    total = (total - tmp) % MOD
print(total)
