Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
mod = 10**9+7
s = list(input())[:-1]

s = s[::-1]

ls = len(s)

mod_13_list = [ (10**i) % 13 for i in range(6) ]

dp_list = [ 0 for i in range(13) ]
if  s[0] != "?":
    p = int(s[0])
    dp_list[p] += 1
else:
    for i in range(10):
        dp_list[i] += 1

t = 1
for i in range(1,ls):
    r = mod_13_list[t]
    t = ( t + 1 ) % 6
    new_dp_list = [ 0 for i in range(13) ]
    if s[i] != "?":
        p = int(s[i])
        q = ( p * r ) % 13
        for j in range(13):
            new_dp_list[(j+q)%13] += dp_list[j]
    
    else:
        for k in range(10):
            q = (k * r ) % 13
            for j in range(13):
                new_dp_list[(j+q)%13] += dp_list[j]
    
    dp_list = [ i % mod for i in new_dp_list ]

print(dp_list[5])

Fixed submission:
import sys
input = sys.stdin.readline
mod = 10**9+7
s = list(input())[:-1]

s = s[::-1]

ls = len(s)

mod_13_list = [ (10**i) % 13 for i in range(6) ]

dp_list = [ 0 for i in range(13) ]
if  s[0] != "?":
    p = int(s[0])
    dp_list[p] += 1
else:
    for i in range(10):
        dp_list[i] += 1

t = 1
for i in range(1,ls):
    r = mod_13_list[t]
    t = ( t + 1 ) % 6
    new_dp_list = [ 0 for i in range(13) ]
    if s[i] != "?":
        p = int(s[i])
        q = ( p * r ) % 13
        for j in range(13):
            new_dp_list[(j+q)%13] += dp_list[j]
    
    else:
        for k in range(10):
            q = (k * r ) % 13
            for j in range(13):
                new_dp_list[(j+q)%13] += dp_list[j]
    
    dp_list = [ i % mod for i in new_dp_list ]

print(dp_list[5])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
mod = 10**9+7
s = list(input())[:-1]

s = s[::-1]

ls = len(s)

mod_13_list = [ (10**i) % 13 for i in range(6) ]

dp_list = [ 0 for i in range(13) ]
if  s[0] != "?":
    p = int(s[0])
    dp_list[p] += 1
else:
    for i in range(10):
        dp_list[i] += 1

t = 1
for i in range(1,ls):
    r = mod_13_list[t]
    t = ( t + 1 ) % 6
    new_dp_list = [ 0 for i in range(13) ]
    if s[i] != "?":
        p = int(s[i])
        q = ( p * r ) % 13
        for j in range(13):
            new_dp_list[(j+q)%13] += dp_list[j]
    
    else:
        for k in range(10):
            q = (k * ( 10 ** i) ) % 13
            for j in range(13):
                new_dp_list[(j+q)%13] += dp_list[j]
    
    dp_list = [ i % mod for i in new_dp_list ]

print(dp_list[5])

Fixed submission:
import sys
input = sys.stdin.readline
mod = 10**9+7
s = list(input())[:-1]

s = s[::-1]

ls = len(s)

mod_13_list = [ (10**i) % 13 for i in range(6) ]

dp_list = [ 0 for i in range(13) ]
if  s[0] != "?":
    p = int(s[0])
    dp_list[p] += 1
else:
    for i in range(10):
        dp_list[i] += 1

t = 1
for i in range(1,ls):
    r = mod_13_list[t]
    t = ( t + 1 ) % 6
    new_dp_list = [ 0 for i in range(13) ]
    if s[i] != "?":
        p = int(s[i])
        q = ( p * r ) % 13
        for j in range(13):
            new_dp_list[(j+q)%13] += dp_list[j]
    
    else:
        for k in range(10):
            q = (k * r ) % 13
            for j in range(13):
                new_dp_list[(j+q)%13] += dp_list[j]
    
    dp_list = [ i % mod for i in new_dp_list ]

print(dp_list[5])

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

s = s[::-1]

ls = len(s)

mod_13_list = [ (10**i) % 13 for i in range(6) ]

dp_list = [ 0 for i in range(13) ]
if  s[0] != "?":
    p = int(s[0])
    dp_list[p] += 1
else:
    for i in range(10):
        dp_list[i] += 1

t = 1
for i in range(1,ls):
    r = mod_13_list[t]
    t = ( t + 1 ) % 6
    new_dp_list = [ 0 for i in range(13) ]
    if s[i] != "?":
        p = int(s[i])
        q = ( p * r ) % 13
        for j in range(13):
            new_dp_list[(j+q)%13] += dp_list[j]
    
    else:
        for k in range(10):
            q = (k * ( 10 ** i) ) % 13
            for j in range(13):
                new_dp_list[(j+q)%13] += dp_list[j]
    
    dp_list = [ i % mod for i in new_dp_list ]

    
print(dp_list[5])


Fixed submission:
import sys
input = sys.stdin.readline
mod = 10**9+7
s = list(input())[:-1]

s = s[::-1]

ls = len(s)

mod_13_list = [ (10**i) % 13 for i in range(6) ]

dp_list = [ 0 for i in range(13) ]
if  s[0] != "?":
    p = int(s[0])
    dp_list[p] += 1
else:
    for i in range(10):
        dp_list[i] += 1

t = 1
for i in range(1,ls):
    r = mod_13_list[t]
    t = ( t + 1 ) % 6
    new_dp_list = [ 0 for i in range(13) ]
    if s[i] != "?":
        p = int(s[i])
        q = ( p * r ) % 13
        for j in range(13):
            new_dp_list[(j+q)%13] += dp_list[j]
    
    else:
        for k in range(10):
            q = (k * r ) % 13
            for j in range(13):
                new_dp_list[(j+q)%13] += dp_list[j]
    
    dp_list = [ i % mod for i in new_dp_list ]

print(dp_list[5])