Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

s = list(input())
n = len(s)
s = s[::-1]
dp = [[0]*13 for _ in range(n)]
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1
for i in range(1,n):
    x = (10**i) % 13
    if s[i] == '?':
        for j in range(10):
            for k in range(13):
                dp[i][(k+(j*x) % 13) % 13] += dp[i-1][k]
                dp[i][(k+(j*x) % 13) % 13] %= mod
    else:
        y = int(s[i])
        for j in range(13):
            dp[i][(j+(y*x) % 13) % 13] += dp[i-1][j]
            dp[i][(j+(y*x) % 13) % 13] %= mod
print(dp[-1][5])


Fixed submission:
#!/usr/bin/env python3
#ABC135 D

import sys
import math
import bisect
from heapq import heappush, heappop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
mod = 10**9 + 7

s = list(input())
s = s[::-1]
l = len(s)
#dp[i][j] := 先頭i文字として考えられるもののうち、13で割ったあまりがjであるもの
dp = [[0]*13 for _ in range(l)]
remain = 1
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1

for i in range(1,l):
    remain = (remain * 10) % 13
    if s[i] == '?':
        for k in range(10):
            for j in range(13):
                dp[i][(j + remain * k) % 13] += dp[i-1][j]
                dp[i][(j + remain * k) % 13] %= mod
    else:
        for j in range(13):
            dp[i][(j + remain * int(s[i])) % 13] += dp[i-1][j]
print(dp[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

s = list(input())
n = len(s)
s = s[::-1]
dp = [[0]*13 for _ in range(n)]
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1
for i in range(1,n):
    x = (10**i) % 13
    if s[i] != '?':
        y = int(s[i])
        for j in range(13):
            dp[i][(j+(y*x) % 13) % 13] += dp[i-1][j]
            dp[i][(j+(y*x) % 13) % 13] %= mod
    else:
        for j in range(10):
            for k in range(13):
                dp[i][(k+(j*x) % 13) % 13] += dp[i-1][k]
                dp[i][(k+(j*x) % 13) % 13] %= mod
print(dp[n-1][5])


Fixed submission:
#!/usr/bin/env python3
#ABC135 D

import sys
import math
import bisect
from heapq import heappush, heappop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
mod = 10**9 + 7

s = list(input())
s = s[::-1]
l = len(s)
#dp[i][j] := 先頭i文字として考えられるもののうち、13で割ったあまりがjであるもの
dp = [[0]*13 for _ in range(l)]
remain = 1
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1

for i in range(1,l):
    remain = (remain * 10) % 13
    if s[i] == '?':
        for k in range(10):
            for j in range(13):
                dp[i][(j + remain * k) % 13] += dp[i-1][j]
                dp[i][(j + remain * k) % 13] %= mod
    else:
        for j in range(13):
            dp[i][(j + remain * int(s[i])) % 13] += dp[i-1][j]
print(dp[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

s = list(input())
n = len(s)
s = s[::-1]
dp = [[0]*13 for _ in range(n)]
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1
for i in range(1,n):
    x = (10**i) % 13
    if s[i] != '?':
        y = int(s[i])
        for j in range(13):
            dp[i][(j+(y*x) % 13) % 13] += dp[i-1][j]
            dp[i][(j+(y*x) % 13) % 13] %= mod
    else:
        for j in range(10):
            for k in range(13):
                dp[i][(k+(j*x) % 13) % 13] += dp[i-1][k]
                dp[i][(k+(j*x) % 13) % 13] %= mod
print(dp[n-1][5])


Fixed submission:
#!/usr/bin/env python3
#ABC135 D

import sys
import math
import bisect
from heapq import heappush, heappop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
mod = 10**9 + 7

s = list(input())
s = s[::-1]
l = len(s)
#dp[i][j] := 先頭i文字として考えられるもののうち、13で割ったあまりがjであるもの
dp = [[0]*13 for _ in range(l)]
remain = 1
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1

for i in range(1,l):
    remain = (remain * 10) % 13
    if s[i] == '?':
        for k in range(10):
            for j in range(13):
                dp[i][(j + remain * k) % 13] += dp[i-1][j]
                dp[i][(j + remain * k) % 13] %= mod
    else:
        for j in range(13):
            dp[i][(j + remain * int(s[i])) % 13] += dp[i-1][j]
print(dp[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

s = input()
n = len(s)
s = s[::-1]
dp = [[0]*13 for _ in range(n)]
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1
for i in range(1,n):
    x = (10**i) % 13
    if s[i] != '?':
        y = int(s[i])
        for j in range(13):
            dp[i][(j+(y*x) % 13) % 13] += dp[i-1][j]
            dp[i][(j+(y*x) % 13) % 13] %= mod
    else:
        for j in range(10):
            for k in range(13):
                dp[i][(k+(j*x) % 13) % 13] += dp[i-1][k]
                dp[i][(k+(j*x) % 13) % 13] %= mod
print(dp[n-1][5])


Fixed submission:
#!/usr/bin/env python3
#ABC135 D

import sys
import math
import bisect
from heapq import heappush, heappop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
mod = 10**9 + 7

s = list(input())
s = s[::-1]
l = len(s)
#dp[i][j] := 先頭i文字として考えられるもののうち、13で割ったあまりがjであるもの
dp = [[0]*13 for _ in range(l)]
remain = 1
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1

for i in range(1,l):
    remain = (remain * 10) % 13
    if s[i] == '?':
        for k in range(10):
            for j in range(13):
                dp[i][(j + remain * k) % 13] += dp[i-1][j]
                dp[i][(j + remain * k) % 13] %= mod
    else:
        for j in range(13):
            dp[i][(j + remain * int(s[i])) % 13] += dp[i-1][j]
print(dp[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(2147483647)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

s = input()
n = len(s)
s = s[::-1]
dp = [[0]*13 for _ in range(n)]
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1
for i in range(1,n):
    if s[i] != '?':
        x = (int(s[i])*(10**i)) % 13
        for j in range(13):
            dp[i][(j+x) % 13] += dp[i-1][j]
            dp[i][(j+x) % 13] %= mod
    else:
        for j in range(10):
            x = j*(10**i) % 13
            for k in range(13):
                dp[i][(k+x) % 13] += dp[i-1][k]
                dp[i][(k+x) % 13] %= mod
print(dp[n-1][5])


Fixed submission:
#!/usr/bin/env python3
#ABC135 D

import sys
import math
import bisect
from heapq import heappush, heappop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
mod = 10**9 + 7

s = list(input())
s = s[::-1]
l = len(s)
#dp[i][j] := 先頭i文字として考えられるもののうち、13で割ったあまりがjであるもの
dp = [[0]*13 for _ in range(l)]
remain = 1
if s[0] == '?':
    for i in range(10):
        dp[0][i] = 1
else:
    dp[0][int(s[0])] = 1

for i in range(1,l):
    remain = (remain * 10) % 13
    if s[i] == '?':
        for k in range(10):
            for j in range(13):
                dp[i][(j + remain * k) % 13] += dp[i-1][j]
                dp[i][(j + remain * k) % 13] %= mod
    else:
        for j in range(13):
            dp[i][(j + remain * int(s[i])) % 13] += dp[i-1][j]
print(dp[-1][5])