Buggy python submission (verdict: Runtime Error):
r = [[(j - k) * 9 % 13 for j in range(10)] for k in range(13)]
d = [1] + [0] * 12

for c in input():
    if c == '?':
        d = [sum(d[j] for j in k) % M for k in r]
    else:
        d = [d[(int(c) - k) * 9 % 13] for k in range(13)]
    #print(d)
print(d[5])

Fixed submission:
r = [[(j - k) * 9 % 13 for j in range(10)] for k in range(13)]
d = [1] + [0] * 12
M = 10 ** 9 + 7
for c in input():
    if c == '?':
        d = [sum(d[j] for j in k) % M for k in r]
    else:
        d = [d[(int(c) - k) * 9 % 13] for k in range(13)]
    #print(d)
print(d[5])

Buggy python submission (verdict: Runtime Error):
s = input()
n = len(s)

dp = [[0 for i in range(n)] for j in range(13)]


if s[0] == '?':
    for i in range(10):
        dp[i][0] = 1

else:
    dp[s][0] = 1


mod_change_table = [(i * 10)%13 for i in range(13)]


for x in range(1, len(s)):
    for y in range(13):
        if s[x] == '?':
            for j in range(10):
                dp[(mod_change_table[y]+j)%13][x] += dp[y][x-1]
        else:
            dp[(mod_change_table[y]+int(s[x]))%13][x] += dp[y][x-1]


print(dp[5][n-1])

Fixed submission:
r = [[(j - k) * 9 % 13 for j in range(10)] for k in range(13)]
d = [1] + [0] * 12
M = 10 ** 9 + 7
for c in input():
    if c == '?':
        d = [sum(d[j] for j in k) % M for k in r]
    else:
        d = [d[(int(c) - k) * 9 % 13] for k in range(13)]
    #print(d)
print(d[5])

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

MOD = 10 ** 9 + 7
mod_change_table = [(i * 10) % 13 for i in range(13)]
dp = np.array([[0] * 13] * (len(S)))
if S[0] == '?':
    dp[0][:10] = 1
else:
    dp[0][int(S[0])] = 1

for i in range(1, len(S)):
    for j in range(13):
        if S[i] == '?':
            for k in range(10):
                dp[i][(mod_change_table[j] + k) % 13] += dp[i - 1][j]
        else:
            dp[i][(mod_change_table[j] + int(S[i])) % 13] += dp[i - 1][j]
    dp[i] %= MOD
print(dp[len(S) - 1][5])

Fixed submission:
r = [[(j - k) * 9 % 13 for j in range(10)] for k in range(13)]
d = [1] + [0] * 12
M = 10 ** 9 + 7
for c in input():
    if c == '?':
        d = [sum(d[j] for j in k) % M for k in r]
    else:
        d = [d[(int(c) - k) * 9 % 13] for k in range(13)]
    #print(d)
print(d[5])

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

MOD = 10 ** 9 + 7
mod_change_table = [(i * 10) % 13 for i in range(13)]
dp = np.array([[0] * 13] * (len(S)))
if S[0] == '?':
    dp[0][:10] = 1
else:
    dp[0][int(S[0])] = 1

for i in range(1, len(S)):
    for j in range(13):
        if S[i] == '?':
            for k in range(10):
                dp[i][(mod_change_table[j] + k) % 13] += dp[i - 1][j]
        else:
            dp[i][(mod_change_table[j] + c) % 13] += dp[i - 1][j]
    dp[i] %= MOD
print(dp[len(S) - 1][5])

Fixed submission:
r = [[(j - k) * 9 % 13 for j in range(10)] for k in range(13)]
d = [1] + [0] * 12
M = 10 ** 9 + 7
for c in input():
    if c == '?':
        d = [sum(d[j] for j in k) % M for k in r]
    else:
        d = [d[(int(c) - k) * 9 % 13] for k in range(13)]
    #print(d)
print(d[5])

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

MOD = 10 ** 9 + 7

dp = np.array([[0] * 13] * (len(S) + 1))
dp[0][0] = 1
for i in range(len(S)):
    if S[i] == '?':
        c = -1
    else:
        c = int(S[i])

    for k in range(10):
        if c == -1 or c == k:
            for j in range(13):
                dp[i + 1][(j * 10 + k) % 13] += dp[i][j]
    dp[i + 1] %= MOD
print(dp[len(S)][5])

Fixed submission:
r = [[(j - k) * 9 % 13 for j in range(10)] for k in range(13)]
d = [1] + [0] * 12
M = 10 ** 9 + 7
for c in input():
    if c == '?':
        d = [sum(d[j] for j in k) % M for k in r]
    else:
        d = [d[(int(c) - k) * 9 % 13] for k in range(13)]
    #print(d)
print(d[5])