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 = input()

m = 1000000007

result = 0
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 = (result + t) % m
    t = (t * u) % m * (l + i) % m * pow(i + 1, m - 2, m) % m
print(result)
