Buggy python submission (verdict: Time Limit Exceeded):
def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[1]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    f = [[[0]*(N//A-c+1) for A in range(a, b+1)] for N in range(1, n+1)]
    for N in range(1, n+1):
        for A in range(a, min(N//c, b)+1):
            temp = 1
            for C in range(1, c):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
            for C in range(c, min(d, N//A)+1):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
                f[N-1][A-a][C-c] = temp

    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(b, a-1, -1):
        dp2 = [i for i in dp]
        for i in range(n-c*A+1):
            e = dp[i]
            if e:
                for C in range(c, min(d, (n-i)//A)+1):
                    dp2[i+C*A] = (dp2[i+C*A]+f[n-i-1][A-a][C-c]*e) % mod
        dp = dp2
    print(dp[-1])


main()

Fixed submission:
def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[1]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(b, a-1, -1):
        dp2 = [i for i in dp]
        for N in range(n-c*A, -1, -1):
            e = dp[N]
            if e:
                temp = 1
                for C in range(1, c):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                for C in range(c, min(d, (n-N)//A)+1):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                    dp2[N+C*A] = (dp2[N+C*A]+temp*e) % mod
        dp = dp2
    print(dp[-1])


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[0]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(1001):
        nCr[i][0] = 1
        nCr[i][i] = 1
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    f = [[[0]*(N//A-c+1) for A in range(a, b+1)] for N in range(1, n+1)]
    for N in range(1, n+1):
        for A in range(a, min(N//c, b)+1):
            temp = 1
            for C in range(1, c):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
            for C in range(c, min(d, N//A)+1):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
                f[N-1][A-a][C-c] = temp

    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(a, b+1):
        dp2 = [i for i in dp]
        for C in range(c, d+1):
            for i in range(n-C*A+1):
                dp2[i+C*A] = (dp2[i+C*A]+f[n-i-1][A-a][C-c]*dp[i]) % mod
        dp = dp2
    print(dp[-1])


main()

Fixed submission:
def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[1]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(b, a-1, -1):
        dp2 = [i for i in dp]
        for N in range(n-c*A, -1, -1):
            e = dp[N]
            if e:
                temp = 1
                for C in range(1, c):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                for C in range(c, min(d, (n-N)//A)+1):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                    dp2[N+C*A] = (dp2[N+C*A]+temp*e) % mod
        dp = dp2
    print(dp[-1])


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[0]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(1001):
        nCr[i][0] = 1
        nCr[i][i] = 1
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod

    n, a, b, c, d = map(int, input().split())
    f = dict()
    for N in range(1, n+1):
        for A in range(a, b+1):
            if N-c*A < 0:
                break
            temp = 1
            for C in range(1, c):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
            for C in range(c, d+1):
                if N-C*A < 0:
                    break
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
                f[(N, A, C)] = temp

    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(a, b+1):
        dp2 = [i for i in dp]
        for C in range(c, d+1):
            for i in range(n):
                N = n-i
                if i+C*A > n:
                    break
                dp2[i+C*A] = (dp2[i+C*A]+f[(N, A, C)]*dp[i]) % mod
        dp = dp2
    print(dp[-1])


main()


Fixed submission:
def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[1]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(b, a-1, -1):
        dp2 = [i for i in dp]
        for N in range(n-c*A, -1, -1):
            e = dp[N]
            if e:
                temp = 1
                for C in range(1, c):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                for C in range(c, min(d, (n-N)//A)+1):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                    dp2[N+C*A] = (dp2[N+C*A]+temp*e) % mod
        dp = dp2
    print(dp[-1])


main()