#include <bits/stdc++.h>

constexpr std::int64_t MOD = 1e9 + 7;

template<typename T> constexpr T pown(T a, std::int64_t b) {
    const T tmp = b % 2 ? a : 1;

    return (b ? tmp * pown(a * a % MOD, b / 2) % MOD : 1);
}

template<typename T> constexpr T prod(T a, T b) {
    return (b ? a * prod(a - 1, b - 1) % MOD : 1);
}

constexpr std::int64_t mdiv(std::int64_t r) {
    return pown(r, MOD - 2) % MOD;
}

template<typename T> constexpr T coll(T a, T b) {
    return prod(a, b) * mdiv(prod(b, b)) % MOD;
}

int main() {
    std::int64_t N;

    std::cin >> N;

    std::int64_t result = 0;

    for (std::int64_t j : std::views::iota(1, N + 1)) {
        std::int64_t tmp = 0, sig = 1;
        
         for (std::int64_t i : std::views::iota(0, j + 1)) {
           tmp = (tmp + (MOD + coll(j, i) * pown(pown(j, 2) - i, N) * sig)) % MOD;
           sig *= -1;
         }

        result = (result + tmp * mdiv(prod(j, j))) % MOD;
    }
    
    std::cout << result << std::endl;
    
    return 0;
}