Buggy python submission (verdict: Time Limit Exceeded):
x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]
S = S[::-1]

dp = [[0 for j in range(13)] for i in range(len(S) + 1)]

dp[0][0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        digit_r = ((10 ** i) * j) % 13

        for k in range(13):
            r = (digit_r + k) % 13
            dp[i + 1][r] += dp[i][k] % x

print(int(dp[-1][5] % x))


Fixed submission:
x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]

dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        for k in range(13):
            dp[i + 1][(10 * k + j) % 13] += dp[i][k] % x

print(int(dp[-1][5] % x))

Buggy python submission (verdict: Time Limit Exceeded):
x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]
S = S[::-1]

dp = [[0 for j in range(13)] for i in range(len(S) + 1)]

dp[0][0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        digit_r = ((10 ** i) * j) % 13

        for k in range(13):
            r = (digit_r + k) % 13
            dp[i + 1][r] += dp[i][k]

    dp[i + 1][r] %= x

print(int(dp[-1][5] % x))


Fixed submission:
x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]

dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        for k in range(13):
            dp[i + 1][(10 * k + j) % 13] += dp[i][k] % x

print(int(dp[-1][5] % x))

Buggy python submission (verdict: Runtime Error):
import numpy as np

x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]
S = S[::-1]

r = np.zeros((13,))
new_r = np.zeros((13,))

r[0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        digit_r = ((10 ** i) * j) % 13

        for k in range(13):
            new_r[(digit_r + k) % 13] += r[k]

    new_r %= x

    r = new_r
    new_r = np.zeros((13,))

print(int(r[5] % x))


Fixed submission:
x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]

dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        for k in range(13):
            dp[i + 1][(10 * k + j) % 13] += dp[i][k] % x

print(int(dp[-1][5] % x))

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]
S = S[::-1]

r = np.zeros((13,))
new_r = np.zeros((13,))

r[0] = 1

# i : 桁数
for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        digit_r = ((10 ** i) * j) % 13

        for k in range(13):
            new_r[(digit_r + k) % 13] += r[k]

    new_r %= x

    r = new_r
    new_r = np.zeros((13,))

print(int(r[5] % x))


Fixed submission:
x = 1000000007

S = input()
S = [int(s) if s != '?' else s for s in S]

dp = [[0 for j in range(13)] for i in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
    for j in range(10):
        if s != '?' and s != j:
            continue

        for k in range(13):
            dp[i + 1][(10 * k + j) % 13] += dp[i][k] % x

print(int(dp[-1][5] % x))