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
def nCr(n,r):
    return fact[n]*(inv[n-r]%M)*(inv[r]%M)
M = 1000000007
k = int(input())
s = len(input())
t = k+s
fact = [1]
p25 = [1]
for i in range(1,t+1):
    fact += [(fact[-1] * i)%M]
    if i<=k:
        p25  += [(p25[-1] * 25) % M]

inv = [1]*(t+1)
inv[t] = pow(fact[t], M-2, M)
for i in range(t-1, -1, -1):
    inv[i] = inv[i+1] * (i+1) % M


res = 0
for i in range(k+1):
    #print(nCr(t,t-i))
    res+=nCr(t,t-i)*p25[i]
    #print(res)
    res%=M
    #print(res)
print(res)