#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
using namespace std;

long long GCD(long long x, long long y) {
    if (y == 0) return x;
    else return GCD(y, x % y);
}

// modint: mod 計算を int を扱うように扱える構造体
template<int MOD> struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) val += MOD;
    }
    constexpr int getmod() { return MOD; }
    constexpr Fp operator - () const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator += (const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator -= (const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator *= (const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator /= (const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(a, n / 2);
        t = t * t;
        if (n & 1) t = t * a;
        return t;
    }
};

// 二項係数ライブラリ
template<class T> struct BiCoef {
    vector<T> fact_, inv_, finv_;
    constexpr BiCoef() {}
    constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
        init(n);
    }
    constexpr void init(int n) noexcept {
        fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
        int MOD = fact_[0].getmod();
        for(int i = 2; i < n; i++){
            fact_[i] = fact_[i-1] * i;
            inv_[i] = -inv_[MOD%i] * (MOD/i);
            finv_[i] = finv_[i-1] * inv_[i];
        }
    }
    constexpr T com(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[k] * finv_[n-k];
    }
    constexpr T fact(int n) const noexcept {
        if (n < 0) return 0;
        return fact_[n];
    }
    constexpr T inv(int n) const noexcept {
        if (n < 0) return 0;
        return inv_[n];
    }
    constexpr T finv(int n) const noexcept {
        if (n < 0) return 0;
        return finv_[n];
    }
};

const int MOD = 1000000007;
using mint = Fp<MOD>;
BiCoef<mint> bc;

// e*k 人を、e 人の k グループに分ける方法の数
mint grouping(int e, int k) {
    return bc.fact(k*e) * bc.finv(k) * modpow(bc.finv(e), k);
}

// res[k] = h を位数 e の巡回群の k 個の直積からなる 1 つの順列としたときに
// f^p = h となる f が何個あるか
vector<mint> sub(int N, long long p, long long e) {
    int K = N / e;

    // f を構成する巡回群の位数 d として、e = d / GCD(d, p) となる d のみを考える
    vector<long long> D;
    for (long long d = e; d <= N; d += e) {
        if (e * GCD(d, p) == d) D.push_back(d);
    }
    
    // DP
    vector<vector<mint>> dp(D.size()+1, vector<mint>(K+1, 0));
    dp[0][0] = 1;
    for (int i = 0; i < D.size(); ++i) {
        int d = D[i];
        int g = d / e;
        mint mul = bc.fact(g - 1) * modpow(mint(e), g - 1);
        for (int k = 0; k <= K; ++k) {
            mint fac = 1;
            for (int l = 0; k + l * g <= K; ++l) {
                dp[i + 1][k + l * g] += dp[i][k] *
                    bc.com(k + l * g, k) * grouping(g, l) * fac;
                fac *= mul;
            }
        }
    }
    return dp[D.size()];
}

mint solve(int N, long long X, long long Y, long long Z) {
    if (X + Y + Z == 0) {
        auto gdp = sub(N, 2, 1);
        return gdp[N] * modpow(mint(N), N);
    }
    long long t = X - Y + Z;
    if (t < 0) t = -t;
    vector<vector<mint>> dp(N+1, vector<mint>(N+1, 0));
    dp[0][0] = 1;
    for (int e = 1; e <= N; ++e) {
        const vector<mint>& fdp = sub(N, t, e);
        const vector<mint>& gdp = sub(N, 2, e);
        for (int n = 0; n <= N; ++n) {
            mint fac = 1;
            for (int k = 0; n + k * e <= N; ++k) {
                dp[e][n + k * e] += dp[e - 1][n] *
                    bc.com(n + k * e, n) * grouping(e, k) * fac * fdp[k] * gdp[k];
                fac *= bc.fact(e - 1);
            }
        }
    }
    return dp[N][N];
}

int main() {
    bc.init(5100);
    int N;
    long long X, Y, Z;
    while (cin >> N >> X >> Y >> Z) cout << solve(N, X, Y, Z) << endl;
}



Measured memory_bytes: 10968