Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
# import numpy as np

MOD = 1000000007  # type: int


def solve(S: str):
    # dp = np.zeros((len(S) + 1, 13))
    dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
    dp[0][0] = 1
    for i in range(len(S)):
        if S[i] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i + 1][(k * 10 + j) % 13] += dp[i][k] % MOD
        else:
            j = int(S[i])
            for k in range(13):
                dp[i + 1][(k * 10 + j) % 13] += dp[i][k] % MOD
    print(int(dp[-1][5]) % MOD)

    return


# Generated by 1.1.5 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
# import numpy as np

MOD = 1000000007  # type: int


def solve(S: str):
    # dp = np.zeros((len(S) + 1, 13))
    dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
    dp[0][0] = 1
    for i in range(len(S)):
        if S[i] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i + 1][(k * 10 + j) % 13] += dp[i][k] % MOD
        else:
            j = int(S[i])
            for k in range(13):
                dp[i + 1][(k * 10 + j) % 13] += dp[i][k] % MOD
    print(int(dp[-1][5]) % MOD)

    return


# Generated by 1.1.5 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
import numpy as np

MOD = 1000000007  # type: int


def solve(S: str):
    dp = np.zeros((len(S) + 1, 13))
    dp[0, 0] = 1
    for i in range(len(S)):
        if S[i] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i + 1, (k * 10 + j) % 13] += dp[i, k] % MOD
        else:
            j = int(S[i])
            for k in range(13):
                dp[i + 1, (k * 10 + j) % 13] += dp[i, k] % MOD
    print(int(dp[-1, 5]) % MOD)

    return


# Generated by 1.1.5 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
# import numpy as np

MOD = 1000000007  # type: int


def solve(S: str):
    # dp = np.zeros((len(S) + 1, 13))
    dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
    dp[0][0] = 1
    for i in range(len(S)):
        if S[i] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i + 1][(k * 10 + j) % 13] += dp[i][k] % MOD
        else:
            j = int(S[i])
            for k in range(13):
                dp[i + 1][(k * 10 + j) % 13] += dp[i][k] % MOD
    print(int(dp[-1][5]) % MOD)

    return


# Generated by 1.1.5 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()