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

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])

Fixed submission:
S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
# from tqdm import tqdm

S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
next_dp = [0] * 13
dp[0] = 1
mul = 1
for i in range(0,N) : # tqdm(range(0, N)):
    if S[N - i - 1] == '?':
        for k in range(10):
            for j in range(13):
                next_dp[(j + k * mul) % 13] += dp[j]
                next_dp[(j + k * mul) % 13] %= MOD
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
            next_dp[(j + k * mul) % 13] %= MOD
    dp = next_dp
    next_dp = [0] * 13
    mul *= 10
    mul %= 13

print(dp[5])

Fixed submission:
S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
# from tqdm import tqdm

S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
next_dp = [0] * 13
dp[0] = 1
mul = 1
for i in range(0,N) # tqdm(range(0, N)):
    if S[N - i - 1] == '?':
        for k in range(10):
            for j in range(13):
                next_dp[(j + k * mul) % 13] += dp[j]
                next_dp[(j + k * mul) % 13] %= MOD
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
            next_dp[(j + k * mul) % 13] %= MOD
    dp = next_dp
    next_dp = [0] * 13
    mul *= 10
    mul %= 13

print(dp[5])

Fixed submission:
S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
S = str(input())
MOD = 1000000007

dp = [0 for i in range(13)]
dp[0] = 1
for i in range(0, len(S)):
    next_dp = [0 for i in range(13)]
    if S[len(S) - i - 1] == '?':
        for k in range(10):
            for j in range(13):
                add = k * pow(10,i) % 13
                next_dp[(j + add) % 13] += dp[j]
    else:
        for j in range(13):
            add = int(S[len(S) - i - 1]) * pow(10,i) % 13
            next_dp[(j + add) % 13] = dp[j]
    dp = next_dp

print(dp[5] % MOD)

Fixed submission:
S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
S = str(input())
MOD = 1000000007

dp = [0 for i in range(13)]
dp[0] = 1
for i in range(0, len(S)):
    next_dp = [0 for i in range(13)]
    if S[len(S) - i - 1] == '?':
        for k in range(10):
            for j in range(13):
                add = k * pow(10,i) % 13
                next_dp[(j + add) % 13] += dp[j]
                next_dp[(j + add) % 13] %= MOD
    else:
        for j in range(13):
            add = int(S[len(S) - i - 1]) * pow(10,i) % 13
            next_dp[(j + add) % 13] = dp[j]
            next_dp[(j + add) % 13] %= MOD
    dp = next_dp

print(dp[5] % MOD)




Fixed submission:
S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import math
import re
S = str(input())

S = S.replace('?','.')

MOD = 1000000007
count = 0
for i in range(10**(len(S))):
    match_result = re.match(S, str(i).zfill(len(S)))
    if match_result is None:
        continue
    if i % 13 == 5:
        count += 1

print(count%MOD)

Fixed submission:
S = input()
N = len(S)
MOD = 10 ** 9 + 7

dp = [0] * 13 
dp[0] = 1
mul = 1
for i in range(0, N):
    next_dp = [0] * 13
    if S[N - i - 1] == '?':
        next_dp = [sum(dp[(j - k * mul) % 13] for k in range(10)) for j in range(13)]
    else:
        for j in range(13):
            k = int(S[N - i - 1])
            next_dp[(j + k * mul) % 13] = dp[j]
    dp = [d % MOD for d in next_dp]
    mul *= 10
    mul %= 13

print(dp[5])