Buggy python submission (verdict: Time Limit Exceeded):
s=input()[::-1]

amari=[[(10**i)*x%13 for x in range(10)] for i in range(6)]
dp=[1]+[0]*12
new_dp=[0]*13

mod=10**9+7

for id,char in enumerate(s):
    new_dp=[0]*13
    if char!='?':
        for i in range(13):
            new_i=(i+amari[id%6][int(char)])%13
            new_dp[new_i]+=dp[i]
        dp=new_dp
    else:
        for i in range(13):
            for j in range(10):
                new_i=(i+amari[id%6][j])%13
                new_dp[new_i]+=dp[i]
        dp=[x%mod for x in new_dp]
print(dp[5])
        

Fixed submission:
s=input()[::-1]

amari=[[(10**i)*x%13 for x in range(10)] for i in range(6)]
dp=[1]+[0]*12
new_dp=[0]*13

mod=10**9+7

for id,char in enumerate(s):
    new_dp=[0]*13
    if char!='?':
        for i in range(13):
            new_i=(i+amari[id%6][int(char)])%13
            new_dp[new_i]+=dp[i]
        dp=new_dp
    else:
        for i in range(13):
            for j in range(10):
                new_i=(i+amari[id%6][j])%13
                new_dp[new_i]+=dp[i]
        dp=[x%mod for x in new_dp]
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
s = input()[::-1]
 
dp = [[0 for i in range(13)] for j in range(len(s)+1)]
dp[0][0]=1

res = [[x * 10 ** i % 13 for x in range(10)] for i in range(6)]
 
mod = 10 ** 9 + 7
 
for idx, char in enumerate(s):

    if char != "?":
        for i in range(13):
            new_i = (i + res[idx % 6][int(char)]) % 13
            dp[idx+1][new_i] += dp[idx][i]
    else:
        for i in range(13):
            for j in range(10):
                new_i = (i + res[idx % 6][j]) % 13
                dp[idx+1][new_i] += dp[idx][i] % mod
        #dp = [x % mod for x in new_dp]

 
print(dp[-1][5]%mod)



Fixed submission:
s=input()[::-1]

amari=[[(10**i)*x%13 for x in range(10)] for i in range(6)]
dp=[1]+[0]*12
new_dp=[0]*13

mod=10**9+7

for id,char in enumerate(s):
    new_dp=[0]*13
    if char!='?':
        for i in range(13):
            new_i=(i+amari[id%6][int(char)])%13
            new_dp[new_i]+=dp[i]
        dp=new_dp
    else:
        for i in range(13):
            for j in range(10):
                new_i=(i+amari[id%6][j])%13
                new_dp[new_i]+=dp[i]
        dp=[x%mod for x in new_dp]
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
s = input()[::-1]
 
dp = [[0 for i in range(13)] for j in range(len(s)+1)]
dp[0][0]=1

res = [[x * 10 ** i % 13 for x in range(10)] for i in range(6)]
 
mod = 10 ** 9 + 7
 
for idx, char in enumerate(s):

    if char != "?":
        for i in range(13):
            new_i = (i + res[idx % 6][int(char)]) % 13
            dp[idx+1][new_i] += dp[idx][i]
    else:
        for i in range(13):
            for j in range(10):
                new_i = (i + res[idx % 6][j]) % 13
                dp[idx+1][new_i] += dp[idx][i]
        #dp = [x % mod for x in new_dp]

 
print(dp[-1][5]%mod)



Fixed submission:
s=input()[::-1]

amari=[[(10**i)*x%13 for x in range(10)] for i in range(6)]
dp=[1]+[0]*12
new_dp=[0]*13

mod=10**9+7

for id,char in enumerate(s):
    new_dp=[0]*13
    if char!='?':
        for i in range(13):
            new_i=(i+amari[id%6][int(char)])%13
            new_dp[new_i]+=dp[i]
        dp=new_dp
    else:
        for i in range(13):
            for j in range(10):
                new_i=(i+amari[id%6][j])%13
                new_dp[new_i]+=dp[i]
        dp=[x%mod for x in new_dp]
print(dp[5])