Problem:
Score: 600 points

Problem Statement

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).

Sample Input 1

5
oof

Sample Output 1

575111451

For example, we can obtain proofend, moonwolf, and onionpuf, while we cannot obtain oofsix, oofelevennn, voxafolt, or fooooooo.

Sample Input 2

37564
whydidyoudesertme

Sample Output 2

318008117

Solution in PyPy3 (7.3.0) (judge verdict: Runtime Error)

MOD = 10**9+7
class mint:
    def __init__(self, x):
        self.x = x % MOD if isinstance(x, int) else int(x) % MOD
    def __str__(self):
        return str(self.x)
    __repr__ = __str__
    def __iadd__(self, other):
        self.x += other.x if isinstance(other, mint) else other
        self.x -= MOD if self.x >= MOD else 0
        return self
    def __isub__(self, other):
        self.x += MOD-other.x if isinstance(other, mint) else MOD-other
        self.x -= MOD if self.x >= MOD else 0
        return self
    def __imul__(self, other):
        self.x *= other.x if isinstance(other, mint) else other
        self.x %= MOD
        return self
    def __imod__(self, other):
        self.x %= other.x if isinstance(other, mint) else other
        self.x %= MOD
        return self
    def __add__(self, other):
        return (
            mint(self.x + other.x) if isinstance(other, mint) else
            mint(self.x + other)
        )
    def __sub__(self, other):
        return (
            mint(self.x - other.x) if isinstance(other, mint) else
            mint(self.x - other)
        )
    def __mul__(self, other):
        return (
            mint(self.x * other.x) if isinstance(other, mint) else
            mint(self.x * other)
        )
    def __mod__(self, other):
        return (
            mint(self.x % other.x) if isinstance(other, mint) else
            mint(self.x % other)
        )
    def __truediv__(self, other):
        return (
            mint(
                self.x * pow(other.x, MOD - 2, MOD)
            ) if isinstance(other, mint) else
            mint(self.x * pow(other, MOD - 2, MOD))
        )
    def __pow__(self, other):
        return (
            mint(pow(self.x, other.x, MOD)) if isinstance(other, mint) else
            mint(pow(self.x, other, MOD))
        )
    __radd__ = __add__
    def __rsub__(self, other):
        return (
            mint(other.x - self.x) if isinstance(other, mint) else
            mint(other - self.x)
        )
    __rmul__ = __mul__
    def __rmod__(self, other):
        return (
            mint(other.x % self.x) if isinstance(other, mint) else
            mint(other % self.x)
        )
    def __rtruediv__(self, other):
        return (
            mint(
                other.x * pow(self.x, MOD - 2, MOD)
            ) if isinstance(other, mint) else
            mint(other * pow(self.x, MOD - 2, MOD))
        )
    def __rpow__(self, other):
        return (
            mint(pow(other.x, self.x, MOD)) if isinstance(other, mint) else
            mint(pow(other, self.x, MOD))
        )
class Comb():
    # class <mint> should be imported
    def __init__(self, n):
        self.n = n
        fact = [0]*(n+1) # 1-indexed
        ifact = [0]*(n+1) # 逆元
        fact[0] = mint(1)
        for i in range(1, n+1):
            fact[i] = fact[i-1]*i
        ifact[-1] = pow(fact[-1], MOD-2)
        for i in range(n, 0, -1):
            ifact[i-1] = ifact[i]*i
        self.fact = fact
        self.ifact = ifact
    def calc(self, n, k):
        if k<0 or k>n:
            return 0
        return self.fact[n]*self.ifact[k]*self.ifact[n-k]
cb= Comb(100005)

k = int(input())
s = input()
n = len(s)

ans = mint(0)
for i in range(n-1,n+k):
    ans += cb.calc(i,n-1)*pow(25,i-n+1,MOD)*pow(26,n+k-i-1,MOD)

print(ans)