Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
MOD = 10**9 + 7


def main():
    S = input().rstrip()
    DP = [0] * 13
    n = len(S)
    if S[-1] == '?':
        for i in range(10):
            DP[i] = 1
    else:
        DP[int(S[-1])] = 1

    for i in range(1, n):
        preDP = DP
        DP = [0] * 13
        if S[-i-1] == '?':
            for x in range(10):
                nx = x * 10 ** i
                for k in range(13):
                    t = (nx + k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[-i-1]) * 10 ** i
            for k in range(13):
                t = (y+k) % 13
                DP[t] = preDP[k] % MOD
    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

Fixed submission:
import sys
input = sys.stdin.readline
MOD = 10**9 + 7


def main():
    S = input().rstrip()
    DP = [0] * 13
    n = len(S)
    DP[0] = 1

    for i in range(0, n):
        preDP = DP
        DP = [0] * 13
        if S[i] == '?':
            for k in range(13):
                for x in range(10):
                    t = (x + 10*k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[i])
            for k in range(13):
                t = (y+10*k) % 13
                DP[t] += preDP[k]
                DP[t] %= MOD

    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

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


def main():
    DP = [0] * 13
    n = len(S)
    if S[-1] == '?':
        for i in range(10):
            DP[i] = 1
    else:
        DP[int(S[-1])] = 1

    for i in range(1, n):
        preDP = DP
        DP = [0] * 13
        if S[-i-1] == '?':
            for x in range(10):
                nx = x * 10 ** i
                for k in range(13):
                    t = (nx + k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[-i-1]) * 10 ** i
            for k in range(13):
                t = (y+k) % 13
                DP[t] = preDP[k] % MOD
    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

Fixed submission:
import sys
input = sys.stdin.readline
MOD = 10**9 + 7


def main():
    S = input().rstrip()
    DP = [0] * 13
    n = len(S)
    DP[0] = 1

    for i in range(0, n):
        preDP = DP
        DP = [0] * 13
        if S[i] == '?':
            for k in range(13):
                for x in range(10):
                    t = (x + 10*k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[i])
            for k in range(13):
                t = (y+10*k) % 13
                DP[t] += preDP[k]
                DP[t] %= MOD

    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
text = S[::-1]
MOD = 10**9 + 7


def main():
    DP = [0] * 13
    if text[0] == '?':
        for i in range(10):
            DP[i] = 1
    else:
        DP[int(text[0])] = 1

    for i in range(1, len(S)):
        preDP = DP
        DP = [0] * 13
        if text[i] == '?':
            for x in range(10):
                nx = x * 10 ** i
                for k in range(13):
                    t = (nx + k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(text[i]) * 10 ** i
            for k in range(13):
                t = (y+k) % 13
                DP[t] = preDP[k] % MOD
    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

Fixed submission:
import sys
input = sys.stdin.readline
MOD = 10**9 + 7


def main():
    S = input().rstrip()
    DP = [0] * 13
    n = len(S)
    DP[0] = 1

    for i in range(0, n):
        preDP = DP
        DP = [0] * 13
        if S[i] == '?':
            for k in range(13):
                for x in range(10):
                    t = (x + 10*k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[i])
            for k in range(13):
                t = (y+10*k) % 13
                DP[t] += preDP[k]
                DP[t] %= MOD

    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
text = S[::-1]
DP = [0] * 13
MOD = 10**9 + 7

if text[0] == '?':
    for i in range(10):
        DP[i] = 1
else:
    DP[int(text[0])] = 1

for i in range(1, len(S)):
    preDP = DP
    DP = [0] * 13
    if text[i] == '?':
        for x in range(10):
            nx = x * 10 ** i
            for k in range(13):
                t = (nx + k) % 13
                DP[t] += preDP[k]
                DP[t] %= MOD
    else:
        y = int(text[i]) * 10 ** i
        for k in range(13):
            t = (y+k) % 13
            DP[t] = preDP[k] % MOD

ans = DP[5]
print(ans)


Fixed submission:
import sys
input = sys.stdin.readline
MOD = 10**9 + 7


def main():
    S = input().rstrip()
    DP = [0] * 13
    n = len(S)
    DP[0] = 1

    for i in range(0, n):
        preDP = DP
        DP = [0] * 13
        if S[i] == '?':
            for k in range(13):
                for x in range(10):
                    t = (x + 10*k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[i])
            for k in range(13):
                t = (y+10*k) % 13
                DP[t] += preDP[k]
                DP[t] %= MOD

    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
text = S[::-1]
DP = [[0] * 13 for _ in range(len(S))]

if text[0] == '?':
    for i in range(10):
        DP[0][i] = 1
else:
    DP[0][int(text[0])] = 1

for i in range(1, len(S)):
    if text[i] == '?':
        for x in range(10):
            nx = x * 10 ** i
            for k in range(13):
                t = (nx + k) % 13
                DP[i][t] += DP[i-1][k]
    else:
        y = int(text[i]) * 10 ** i
        for k in range(13):
            t = (y+k) % 13
            DP[i][t] = DP[i-1][k]

ans = DP[len(S)-1][5] % (10**9 + 7)
print(ans)

Fixed submission:
import sys
input = sys.stdin.readline
MOD = 10**9 + 7


def main():
    S = input().rstrip()
    DP = [0] * 13
    n = len(S)
    DP[0] = 1

    for i in range(0, n):
        preDP = DP
        DP = [0] * 13
        if S[i] == '?':
            for k in range(13):
                for x in range(10):
                    t = (x + 10*k) % 13
                    DP[t] += preDP[k]
                    DP[t] %= MOD
        else:
            y = int(S[i])
            for k in range(13):
                t = (y+10*k) % 13
                DP[t] += preDP[k]
                DP[t] %= MOD

    ans = DP[5]
    print(ans)


if __name__ == '__main__':
    main()