There are NN children in kindergarten. Miss Li bought them NN candies. To make the process more interesting, Miss Li comes up with the rule: All the children line up according to their student number (1…N)(1…N), and each time a child is invited, Miss Li randomly gives him some candies (at least one). The process goes on until there is no candy. Miss Li wants to know how many possible different distribution results are there.

Input The first line contains an integer TT, the number of test case.

The next TT lines, each contains an integer NN.

1 \le T \le 1001≤T≤100

1 \le N \le 10^{100000}1≤N≤10 100000

Output For each test case output the number of possible results (mod 1000000007).

樣例輸入 複製 1 4 樣例輸出 複製 8

題目連結：https://nanti.jisuanke.com/t/31716

#include <cstdio>

#include <cstring>

#include <cmath>

typedef long long LL;

#define MAXN 1000100

const LL MOD=1e9+7;

char
 
 c[MAXN];



LL pow_mod(LL a, LL n)

{

    LL ans = 1;

    while(n)

    {

        if(n&1) ans = ans*a%MOD;

        a = a*a%MOD;

        n >>= 1;

    }

    return ans;

}

int main()

{

    int t;scanf("%d",&t);
    while(t--)

    {
scanf("%s", c);
        LL n = 0;
        int len=strlen(c);
        for(int i = 0;i<len;i++)

            n = (n*10+c[i]-'0')%(MOD-1);

        printf("%I64d\n", ((LL)pow_mod(2,n-1+MOD-1)*pow_mod(2,MOD-1))%MOD);

    }

    return 0;

}