Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    mod = 10**9+7
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        m = 10**n % 13
        for i in range(10):
            if c == "?" or int(c) == i:
                for j in range(13):
                    dp[n+1][(j + i*m) % 13] += dp[n][j] % mod
    print(dp[N][5] % mod)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    mod = 10**9+7
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        m = 10**n
        for i in range(10):
            if c == "?" or int(c) == i:
                for j in range(13):
                    dp[n+1][(j + i*m) % 13] += dp[n][j] % mod
    print(dp[N][5] % mod)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    mod = 10**9+7
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        for i in range(10):
            if c == "?" or int(c) == i:
                for j in range(13):
                    dp[n+1][(j + i*10**n) % 13] += dp[n][j] % mod
    print(dp[N][5] % mod)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    mod = 10**9+7
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        for i in range(10):
            if c == "?" or int(c) == i:
                for j in range(13):
                    dp[n+1][(j + i*10**n) % 13] += dp[n][j] % mod
    print(dp[N][5] % mod)


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    A = []
    for c in S:
        A.append(-1 if c == "?" else int(c))
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = A[N-n-1]
        for i in range(10):
            m = i*10**n
            if c == -1 or c == i:
                for j in range(13):
                    dp[n+1][(j + m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
    print(dp[N][5])


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        for i in range(10):
            if c == "?" or int(c) == i:
                for j in range(13):
                    dp[n+1][(j + i*10**n)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
    print(dp[N][5])


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    mod = 10**9+7
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*10**n)%13] += dp[n][j]
        else:
            for j in range(13):
                dp[n+1][(j + int(c)*10**n)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= mod
    print(dp[N][5])


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    for n in range(N):
        c = S[N-n-1]
        for i in range(10):
            if c == "?" or int(c) == i:
                for j in range(13):
                    dp[n+1][(j + i*10**n)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
    print(dp[N][5])


if __name__ == '__main__':
    main()


Fixed submission:
import sys
input = sys.stdin.readline


def main():
    S = input().strip()
    N = len(S)
    dp = [[0]*13 for _ in range(N+1)]
    dp[0][0] = 1
    m = 1
    for n in range(N):
        c = S[N-n-1]
        if c == "?":
            for i in range(10):
                for j in range(13):
                    dp[n+1][(j + i*m)%13] += dp[n][j]
        else:
            k = int(c)
            for j in range(13):
                dp[n+1][(j + k*m)%13] += dp[n][j]
        for i in range(13):
            dp[n+1][i] %= 10**9+7
        m = m * 10 % 13
    print(dp[N][5])


if __name__ == '__main__':
    main()