Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil
from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [[LI()]for i in range(n)]
def printns(x): print('\n'.join(x))
def printni(x): print('\n'.join(list(map(str,x))))
inf = 10**17
mod = 10**9 + 7
#s=input().rstrip()

s=input().rstrip()
n=len(s)
beki=[0 for i in range(n+1)]
beki[0]=1
for i in range(n):
    beki[i+1]=(beki[i]*10)%13

u=[[0 for i in range(13)] for j in range(n+1)]
u[0][0]=1
s=list(reversed(s))
for i in range(n):
    #z=i%3
    for j in range(13):
        if s[i]!="?":
            u[i+1][(j+beki[i]*int(s[i]))%13]+=u[i][j]%mod
        else:
            for k in range(10):
                u[i+1][(j+beki[i]*k)%13]+=u[i][j]%mod
#print(u)
print(u[n][5]%mod)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    t=(10**(l-i-2))%13
    for j in range(13):
        if u!="?":
            k=(j+int(u)*t)%13
            dp[i+1][k]+=dp[i][j]
        
        else:
            for g in range(10):
                k=(j+g*t)%13
                dp[i+1][k]+=dp[i][j]
    
                
            
#print(dp)
print(dp[l-1][5]%mod)
        

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    t=(10**(l-i-2))%13
    for j in range(13):
        if u!="?":
            k=(j+int(u)*t)%13
            dp[i+1][k]+=dp[i][j]
        
        else:
            for g in range(10):
                k=(j+g*t)%13
                dp[i+1][k]+=dp[i][j]
    for d in dp[i+1]:
        d%=mod
                
            
#print(dp)
print(dp[l-1][5]%mod)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    t=(10**(l-i-2))%13
    for j in range(13):
        if u!="?":
            k=(j+int(u)*t)%13
            dp[i+1][k]+=dp[i][j]%mod
        else:
            for g in range(10):
                k=(j+g*t)%13
                dp[i+1][k]+=dp[i][j]%mod
            
#print(dp)
print(dp[l-1][5]%mod)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    for j in range(13):
        if u!="?":
            k=(j+int(u)*(10**(l-i-2)))%13
            dp[i+1][k]+=(dp[i][j])%mod
        else:
            for g in range(10):
                k=(j+g*10**(l-i-2))%13
                dp[i+1][k]+=dp[i][j]%mod
            
#print(dp)
print(dp[l-1][5]%mod)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    for j in range(13):
        if u!="?":
            k=(j+int(u)*(10**(l-i-2)))%13
            dp[i+1][k]+=(dp[i][j])%mod
        else:
            for g in range(10):
                k=(j+g*10**(l-i-2))%13
                dp[i+1][k]+=dp[i][j]%mod
            
#print(dp)
print(dp[l-1][5]%mod)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    for j in range(13):
        if u!="?":
            k=(j+int(u)*(10**(l-i-2)))%13
            dp[i+1][k]+=dp[i][j]
        else:
            for g in range(10):
                k=(j+g*10**(l-i-2))%13
                dp[i+1][k]+=dp[i][j]
            
#print(dp)
print(dp[l-1][5]%mod)
        

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

s=input().rstrip()
l=len(s)
dp=[[0 for i in range(13)] for i in  range(l)]
#dp[0]=[1 for i in range(13)]
i=0
u=s[0]
if u!="?":
    k=(int(u)*10**(l-1))%13
    dp[0][k]+=1
else:
    for g in range(10):
        k=(g*10**(l-1))%13
        dp[0][k]+=1
#print(dp)
for i in range(l-1):
    u=s[i+1]
    for j in range(13):
        if u!="?":
            k=(j+int(u)*(10**(l-i-2)))%13
            dp[i+1][k]+=dp[i][j]
        else:
            for g in range(10):
                k=(j+g*10**(l-i-2))%13
                dp[i+1][k]+=dp[i][j]
            
#print(dp)
print(dp[l-1][5]%mod)
        

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()