Buggy python submission (verdict: Time Limit Exceeded):
s=list(input())
mod=10**9+7
n=len(s)

dp=[[0]*13 for i in range(n+1)]
dp[0][0]=1
for i in range(n):
    if s[i]=="?":
        for k in range(10):
            for j in range(13):
                p=(k+10*j)%13
                dp[i+1][p]+=dp[i][j]
                dp[i+1][p]%=mod

    else:

        for j in range(13):
            p=(int(s[i])+10*j)%13
            dp[i+1][p]+=dp[i][j]
            dp[i+1][p]%=mod


print(dp[n][5])


Fixed submission:
s=list(input())
mod=10**9+7
n=len(s)

dp=[[0]*13 for i in range(n+1)]
dp[0][0]=1
for i in range(n):
    if s[i]=="?":
        for k in range(10):
            for j in range(13):
                p=(k+10*j)%13
                dp[i+1][p]+=dp[i][j]
                dp[i+1][p]%=mod

    else:

        for j in range(13):
            p=(int(s[i])+10*j)%13
            dp[i+1][p]+=dp[i][j]
            dp[i+1][p]%=mod


print(dp[n][5])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10000000)

s = input()
n = 13

mod=10**9+7

dp=[0] * n
dp[0] =1

mul=1

for i in range(len(s)-1,-1,-1):

    nextDP = [0] * n

    c=s[i]

    if c =='?':
        for k in range(10):
            for j in range(n):
                nextDP[(k*mul+j)%n] += dp[j]

    else:
        k=int(s[i])
        for j in range(n):
            nextDP[(k*mul+j)%n] += dp[j]

    mul*=10
    dp=nextDP

print(dp[5]%mod%mod)

Fixed submission:
s=list(input())
mod=10**9+7
n=len(s)

dp=[[0]*13 for i in range(n+1)]
dp[0][0]=1
for i in range(n):
    if s[i]=="?":
        for k in range(10):
            for j in range(13):
                p=(k+10*j)%13
                dp[i+1][p]+=dp[i][j]
                dp[i+1][p]%=mod

    else:

        for j in range(13):
            p=(int(s[i])+10*j)%13
            dp[i+1][p]+=dp[i][j]
            dp[i+1][p]%=mod


print(dp[n][5])

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10000000)

s = input()
n = len(s)

mod=10**9+7

dp = [[0] * 13 for _ in range(10**5) ]

ans=0
dp[0][0] =1

for i in range(n):
    if s[i] == '?':c=-1
    else: c=int(s[i])

    for j in range(10):
        if (c == -1 or c== j):
            for ki in range(13):
                dp[i+1][(ki*10+j)%13] += dp[i][ki]

    # for j in range(13):
    #     dp[i+1][j] %= mod

print(dp[n][5]%mod%mod)

Fixed submission:
s=list(input())
mod=10**9+7
n=len(s)

dp=[[0]*13 for i in range(n+1)]
dp[0][0]=1
for i in range(n):
    if s[i]=="?":
        for k in range(10):
            for j in range(13):
                p=(k+10*j)%13
                dp[i+1][p]+=dp[i][j]
                dp[i+1][p]%=mod

    else:

        for j in range(13):
            p=(int(s[i])+10*j)%13
            dp[i+1][p]+=dp[i][j]
            dp[i+1][p]%=mod


print(dp[n][5])

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10000000)

s = input()
n = len(s)

mod=10**9+7

dp = [[0] * 13 for _ in range(10**5) ]

ans=0
dp[0][0] =1

for i in range(n):
    if s[i] == '?':c=-1
    else: c=int(s[i])

    for j in range(10):
        if (c == -1 or c== j):
            for ki in range(13):
                dp[i+1][(ki*10+j)%13] += dp[i][ki]

    # for j in range(13):
    #     dp[i+1][j] %= mod

print(dp[n][5]%mod%mod)

Fixed submission:
s=list(input())
mod=10**9+7
n=len(s)

dp=[[0]*13 for i in range(n+1)]
dp[0][0]=1
for i in range(n):
    if s[i]=="?":
        for k in range(10):
            for j in range(13):
                p=(k+10*j)%13
                dp[i+1][p]+=dp[i][j]
                dp[i+1][p]%=mod

    else:

        for j in range(13):
            p=(int(s[i])+10*j)%13
            dp[i+1][p]+=dp[i][j]
            dp[i+1][p]%=mod


print(dp[n][5])

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10000000)

s = input()
n = len(s)

mod=10**9+7

dp = [[0] * 13 for _ in range(10**5) ]

ans=0
dp[0][0] =1

for i in range(n):
    if s[i] == '?':c=-1
    else: c=int(s[i])

    for j in range(10):
        if (c == -1 or c== j):
            for ki in range(13):
                dp[i+1][(ki*10+j)%13] += dp[i][ki]

    for j in range(13):
        dp[i+1][j] %= mod

print(dp[n][5])

Fixed submission:
s=list(input())
mod=10**9+7
n=len(s)

dp=[[0]*13 for i in range(n+1)]
dp[0][0]=1
for i in range(n):
    if s[i]=="?":
        for k in range(10):
            for j in range(13):
                p=(k+10*j)%13
                dp[i+1][p]+=dp[i][j]
                dp[i+1][p]%=mod

    else:

        for j in range(13):
            p=(int(s[i])+10*j)%13
            dp[i+1][p]+=dp[i][j]
            dp[i+1][p]%=mod


print(dp[n][5])