Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python
 
import sys
import numpy as np
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ (b*i)%13 for i in range(10) ] )
#
dp= np.zeros( shape=(13),dtype=np.int64 )
dp[0] = 1
for i,c in enumerate(reversed(s)):
    tmp  = dp.copy()
    #
    if c=="?":
        bset = mmap[i%6][1:]
        for m in range(13):
            num= tmp[m]
            if num==0: continue
            for b in bset:
                idx= (m+b)%13
                dp[idx]= ( dp[idx] + num ) % MOD
    else:
        b= mmap[i%6][int(c)]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
#
print(dp[5])


Fixed submission:
import sys
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ [ (b*i+j)%13 for i in range(1,10) ] for j in range(13) ] )
#
dp= [ 0 ] * 13
dp[0] = 1
j= 0
for c in reversed(s):
    tmp = dp.copy()
    #
    if c=="0": pass
    elif c=="?":
        bset = mmap[j]
        for m,num in enumerate(tmp):
            if num==0: continue
            for idx in bset[m]: dp[idx]+=num
        #
        for i in range(13): dp[i]%=MOD
    else:
        b= mmap[j][0][int(c)-1]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    if j==5: j=0
    else: j+=1
#
print(dp[5])

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

import sys
import numpy as np

s= sys.stdin.readline().strip()
n= len(s)
#
MOD=10**9+7
#
base = 1
dp = np.zeros( shape=(n+1,13),dtype=np.int64 )
dp[0][0] = 1
for i,c in enumerate(reversed(s)):
    prev= dp[i]
    now = dp[i+1]
    #
    if c=="?":
        for b in [ base*i for i in range(10) ]:
            for m,num in enumerate(prev):
                if num==0: continue
                idx= (m+b)%13
                now[idx]= now[idx]+num
        #
        for i in range(13): now[i] %= MOD
    else:
        b= base*int(c)
        for m in range(13):
            idx= (m+b)%13
            now[idx]= prev[m]
    #
    base = base*10
#
print(dp[n][5])


Fixed submission:
import sys
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ [ (b*i+j)%13 for i in range(1,10) ] for j in range(13) ] )
#
dp= [ 0 ] * 13
dp[0] = 1
j= 0
for c in reversed(s):
    tmp = dp.copy()
    #
    if c=="0": pass
    elif c=="?":
        bset = mmap[j]
        for m,num in enumerate(tmp):
            if num==0: continue
            for idx in bset[m]: dp[idx]+=num
        #
        for i in range(13): dp[i]%=MOD
    else:
        b= mmap[j][0][int(c)-1]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    if j==5: j=0
    else: j+=1
#
print(dp[5])

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

import sys

s= sys.stdin.readline().strip()
n= len(s)
#
MOD=10**9+7
#
base = 1
dp= [ [0]*13 for _ in range(n+1) ]
dp[0][0] = 1
for i,c in enumerate(reversed(s)):
    prev= dp[i]
    now = dp[i+1]
    #
    if c=="?":
        for b in [ base*i for i in range(10) ]:
            for m,num in enumerate(prev):
                if num==0: continue
                idx= (m+b)%13
                now[idx]= now[idx]+num
        #
        for i in range(13): now[i] %= MOD
    else:
        b= base*int(c)
        for m in range(13):
            idx= (m+b)%13
            now[idx]= prev[m]
    #
    base = base*10
#
print(dp[n][5])


Fixed submission:
import sys
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ [ (b*i+j)%13 for i in range(1,10) ] for j in range(13) ] )
#
dp= [ 0 ] * 13
dp[0] = 1
j= 0
for c in reversed(s):
    tmp = dp.copy()
    #
    if c=="0": pass
    elif c=="?":
        bset = mmap[j]
        for m,num in enumerate(tmp):
            if num==0: continue
            for idx in bset[m]: dp[idx]+=num
        #
        for i in range(13): dp[i]%=MOD
    else:
        b= mmap[j][0][int(c)-1]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    if j==5: j=0
    else: j+=1
#
print(dp[5])

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

import sys

s= sys.stdin.readline().strip()
#
MOD=10**9+7
#
base = 1
dp= [ 0 for i in range(13) ]
dp[0] = 1
tmp= [ 0 for i in range(13) ]
for i,c in enumerate(reversed(s)):
    tmp  = dp.copy()
    #
    if c=="?":
        for b in [ base*i for i in range(1,10) ]:
            for m,num in enumerate(tmp):
                if num==0: continue
                idx= (m+b)%13
                dp[idx]= dp[idx]+num
        #
        for i in range(13): dp[i] %= MOD
    else:
        b= base*int(c)
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    base = base*10
#
print(dp[5])


Fixed submission:
import sys
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ [ (b*i+j)%13 for i in range(1,10) ] for j in range(13) ] )
#
dp= [ 0 ] * 13
dp[0] = 1
j= 0
for c in reversed(s):
    tmp = dp.copy()
    #
    if c=="0": pass
    elif c=="?":
        bset = mmap[j]
        for m,num in enumerate(tmp):
            if num==0: continue
            for idx in bset[m]: dp[idx]+=num
        #
        for i in range(13): dp[i]%=MOD
    else:
        b= mmap[j][0][int(c)-1]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    if j==5: j=0
    else: j+=1
#
print(dp[5])

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

import sys

s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ (b*i)%13 for i in range(10) ] )
#
dp= [ 0 for i in range(13) ]
dp[0] = 1
for i,c in enumerate(reversed(s)):
    tmp  = dp.copy()
    #
    if c=="?":
        bset = mmap[i%6][1:]
        for m in range(13):
            num= tmp[m]
            if num==0: continue
            for b in bset:
                idx= (m+b)%13
                dp[idx]= ( dp[idx] + num ) % MOD
    else:
        b= mmap[i%6][int(c)]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
#
print(dp[5])


Fixed submission:
import sys
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ [ (b*i+j)%13 for i in range(1,10) ] for j in range(13) ] )
#
dp= [ 0 ] * 13
dp[0] = 1
j= 0
for c in reversed(s):
    tmp = dp.copy()
    #
    if c=="0": pass
    elif c=="?":
        bset = mmap[j]
        for m,num in enumerate(tmp):
            if num==0: continue
            for idx in bset[m]: dp[idx]+=num
        #
        for i in range(13): dp[i]%=MOD
    else:
        b= mmap[j][0][int(c)-1]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    if j==5: j=0
    else: j+=1
#
print(dp[5])

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python

import sys

s= sys.stdin.readline()
#
m0 = 0
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ (b*i)%13 for i in range(10) ] )
#
dp= [ 0 for i in range(13) ]
for i,c in enumerate(reversed(s)):
    tmp  = dp.copy()
    if i==0: tmp[0]= 1
    #
    if c=="?":
        bset = mmap[i%6][1:]
        for m in range(13):
            num= tmp[m]
            if num==0: continue
            for b in bset:
                idx= (m+b)%13
                dp[idx]+= num
    else:
        b= mmap[i%6][int(c)]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
#
print(dp[5])


Fixed submission:
import sys
 
s= sys.stdin.readline().strip()
#
MOD=10**9+7
mmap= []
for i in range(6):
    b = 10**i % 13
    mmap.append( [ [ (b*i+j)%13 for i in range(1,10) ] for j in range(13) ] )
#
dp= [ 0 ] * 13
dp[0] = 1
j= 0
for c in reversed(s):
    tmp = dp.copy()
    #
    if c=="0": pass
    elif c=="?":
        bset = mmap[j]
        for m,num in enumerate(tmp):
            if num==0: continue
            for idx in bset[m]: dp[idx]+=num
        #
        for i in range(13): dp[i]%=MOD
    else:
        b= mmap[j][0][int(c)-1]
        for m in range(13):
            idx= (m+b)%13
            dp[idx]= tmp[m]
    #
    if j==5: j=0
    else: j+=1
#
print(dp[5])