Buggy python submission (verdict: Time Limit Exceeded):
class Combination:
    """
    O(n)の前計算を1回行うことで，O(1)でnCr mod mを求められる
    n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)
    使用例：
    comb = Combination(1000000)
    print(comb(5, 3))  # 10
    """
    def __init__(self, n_max, mod=10**9+7):
        self.mod = mod
        self.modinv = self.make_modinv_list(n_max)
        self.fac, self.facinv = self.make_factorial_list(n_max)

    def __call__(self, n, r):
        return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n-r] % self.mod

    def make_factorial_list(self, n):
        # 階乗のリストと階乗のmod逆元のリストを返す O(n)
        # self.make_modinv_list()が先に実行されている必要がある
        fac = [1]
        facinv = [1]
        for i in range(1, n+1):
            fac.append(fac[i-1] * i % self.mod)
            facinv.append(facinv[i-1] * self.modinv[i] % self.mod)
        return fac, facinv

    def make_modinv_list(self, n):
        # 0からnまでのmod逆元のリストを返す O(n)
        modinv = [0] * (n+1)
        modinv[1] = 1
        for i in range(2, n+1):
            modinv[i] = self.mod - self.mod//i * modinv[self.mod%i] % self.mod
        return modinv

N, A, B, C, D = map(int, input().split())
mod = 10**9+7
comb = Combination(1010)
dp = [0]*(N+1)
dp[0] = 1
for n_person in range(A, B+1):
    dp_new = dp[:]
    for i, v in enumerate(dp):
        c = 1
        rem = N-i
        for n_groups in range(1, C):
            if rem < n_person:
                break
            c = c * comb(rem, n_person) % mod
            rem -= n_person
        else:
            for n_groups in range(C, D+1):
                if rem < n_person:
                    break
                c = c * comb(rem, n_person) % mod
                rem -= n_person
                dp_new[N-rem] = (dp_new[N-rem] + c * comb.facinv[n_groups] * v) % mod
    dp = dp_new
print(dp[N])


Fixed submission:
class Combination:
    """
    O(n)の前計算を1回行うことで，O(1)でnCr mod mを求められる
    n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)
    使用例：
    comb = Combination(1000000)
    print(comb(5, 3))  # 10
    """
    def __init__(self, n_max, mod=10**9+7):
        self.mod = mod
        self.modinv = self.make_modinv_list(n_max)
        self.fac, self.facinv = self.make_factorial_list(n_max)

    def __call__(self, n, r):
        return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n-r] % self.mod

    def make_factorial_list(self, n):
        # 階乗のリストと階乗のmod逆元のリストを返す O(n)
        # self.make_modinv_list()が先に実行されている必要がある
        fac = [1]
        facinv = [1]
        for i in range(1, n+1):
            fac.append(fac[i-1] * i % self.mod)
            facinv.append(facinv[i-1] * self.modinv[i] % self.mod)
        return fac, facinv

    def make_modinv_list(self, n):
        # 0からnまでのmod逆元のリストを返す O(n)
        modinv = [0] * (n+1)
        modinv[1] = 1
        for i in range(2, n+1):
            modinv[i] = self.mod - self.mod//i * modinv[self.mod%i] % self.mod
        return modinv

N, A, B, C, D = map(int, input().split())
mod = 10**9+7
comb = Combination(1010)
dp = [0]*(N+1)
dp[0] = 1
for n_person in range(A, B+1):
    dp_new = dp[:]
    for i, v in enumerate(dp):
        c = 1
        rem = N-i
        for n_groups in range(1, C):
            if rem < n_person:
                break
            c = c * comb(rem, n_person) % mod
            rem -= n_person
        else:
            for n_groups in range(C, D+1):
                if rem < n_person:
                    break
                c = c * comb(rem, n_person) % mod
                rem -= n_person
                dp_new[N-rem] = (dp_new[N-rem] + c * comb.facinv[n_groups] * v) % mod
    dp = dp_new
print(dp[N])