Buggy python submission (verdict: Time Limit Exceeded):
MOD = 10**9 + 7

def main():
    s = open(0).read()[:-1][::-1]
    n = len(s)

    prev = [0] * 13
    if s[0] == '?':
        for j in range(10):
            prev[j] = 1
    else:
        prev[int(s[0])] = 1

    mod13 = [1, 10, 9, 12, 3, 4]
    for i, cur_s in enumerate(s[1:], start=1):
        next = [0] * 13
        if cur_s == '?':
            for j in range(10):
                remain = j * mod13[i % 6] % 13
                for k in range(13):
                    next[(k + remain) % 13] += prev[k]
        else:
            remain = int(cur_s) * mod13[i % 6] % 13
            for k in range(13):
                next[(k + remain) % 13] += prev[k]
        prev = [cur_next % MOD for cur_next in next]

    ans = prev[5] % MOD
    print(ans)
    return()

if __name__ == '__main__':
    main()


Fixed submission:
MOD = 10**9 + 7

def main():
    s = [int(in_i) if in_i != '?' else -1 for in_i in list(open(0).read())[:-1]]
    n = len(s)

    cnt = [0] * 13
    if s[0] == -1:
        for j in range(10):
           cnt[j] = 1
    else:
        cnt[s[0]] = 1

    for cur_s in s[1:]:
        dp = [0] * 26
        for i in range(13):
            dp[i*10%13] = cnt[i] % MOD
        dp[13:] = dp[:13]

        if cur_s == -1:
            for i in range(13):
                cnt[i] = sum(dp[i+4:i+14])
        else:
            for i in range(13):
                cnt[i] = dp[i+13-cur_s]

    ans = cnt[5] % MOD
    print(ans)
    return()

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
MOD = 10**9 + 7

def main():
    s = open(0).read()[:-1][::-1]
    n = len(s)

    prev = [0] * n
    if s[0] == '?':
        for j in range(10):
            prev[j] = 1
    else:
        prev[int(s[0])] = 1

    mod13 = [1, 10, 9, 12, 3, 4]
    for i, cur_s in enumerate(s[1:], start=1):
        next = [0] * n
        if cur_s == '?':
            for j in range(10):
                remain = j * mod13[i % 6] % 13
                for k in range(13):
                    next[(k + remain) % 13] += prev[k]
        else:
            remain = int(cur_s) * mod13[i % 6] % 13
            for k in range(13):
                next[(k + remain) % 13] += prev[k]
        prev = [cur_next % MOD for cur_next in next]

    ans = prev[5] % MOD
    print(ans)
    return()

if __name__ == '__main__':
    main()


Fixed submission:
MOD = 10**9 + 7

def main():
    s = [int(in_i) if in_i != '?' else -1 for in_i in list(open(0).read())[:-1]]
    n = len(s)

    cnt = [0] * 13
    if s[0] == -1:
        for j in range(10):
           cnt[j] = 1
    else:
        cnt[s[0]] = 1

    for cur_s in s[1:]:
        dp = [0] * 26
        for i in range(13):
            dp[i*10%13] = cnt[i] % MOD
        dp[13:] = dp[:13]

        if cur_s == -1:
            for i in range(13):
                cnt[i] = sum(dp[i+4:i+14])
        else:
            for i in range(13):
                cnt[i] = dp[i+13-cur_s]

    ans = cnt[5] % MOD
    print(ans)
    return()

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
mod = 10**9 + 7

def main():
    s = open(0).read()[:-1][::-1]
    n = len(s)

    dp = [[0] * 13 for _ in range(n)]
    if s[0] == '?':
        for j in range(10):
            dp[0][j] = 1
    else:
        dp[0][int(s[0])] = 1

    for i, cur_s in enumerate(s[1:], start=1):
        if cur_s == '?':
            for j in range(10):
                remain = j * 10**i % 13
                for k in range(13):
                    dp[i][(k + remain) % 13] += dp[i-1][k]
        else:
            remain = int(cur_s) * 10**i % 13
            for k in range(13):
                dp[i][(k + remain) % 13] += dp[i-1][k]
    ans = dp[-1][5] % mod
    print(ans)
    return()

if __name__ == '__main__':
    main()


Fixed submission:
MOD = 10**9 + 7

def main():
    s = [int(in_i) if in_i != '?' else -1 for in_i in list(open(0).read())[:-1]]
    n = len(s)

    cnt = [0] * 13
    if s[0] == -1:
        for j in range(10):
           cnt[j] = 1
    else:
        cnt[s[0]] = 1

    for cur_s in s[1:]:
        dp = [0] * 26
        for i in range(13):
            dp[i*10%13] = cnt[i] % MOD
        dp[13:] = dp[:13]

        if cur_s == -1:
            for i in range(13):
                cnt[i] = sum(dp[i+4:i+14])
        else:
            for i in range(13):
                cnt[i] = dp[i+13-cur_s]

    ans = cnt[5] % MOD
    print(ans)
    return()

if __name__ == '__main__':
    main()