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

dp = [1] + [0] * 12
new_dp = [0] * 13

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):
    new_dp = [0] * 13
    if char != "?":
        for i in range(13):
            new_i = (i + res[idx % 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 + res[idx % 6][j]) % 13
                new_dp[new_i] += dp[i]
        dp = [x % mod for x in new_dp]

print(dp[5])


Fixed submission:
S = input()
M = 10**9+7

case = [1] + [0] * 12
temp = [0] * 13
unit = 1
before = 0
for i in reversed(range(len(S))):
    if(S[i] == '?'):
        for k in range(13):
            for j in range(10):
                before = (k - unit * j) % 13
                temp[k] += case[before]
            temp[k] %= M
    else:
        for k in range(13):
            before = (k - unit * int(S[i])) % 13
            temp[k] = case[before]
    case = temp
    unit *= 10
    unit %= 13
    temp = [0] * 13

print(case[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
M = 10**9+7

case = [1] + [0] * 12
temp = [0] * 13
unit = 1
before = 0
for i in reversed(range(len(S))):
    if(S[i] == '?'):
        for k in range(13):
            for j in range(10):
                before = (k - unit * j) % 13
                temp[k] += case[before]
            temp[k] %= M
    else:
        for k in range(13):
            before = (k - unit * int(S[i])) % 13
            temp[k] = case[before]
    case = temp
    unit *= 10
    unit %= 13
    temp = [0] * 13

print(case[5])


Fixed submission:
S = input()
M = 10**9+7

case = [1] + [0] * 12
temp = [0] * 13
unit = 1
before = 0
for i in reversed(range(len(S))):
    if(S[i] == '?'):
        for k in range(13):
            for j in range(10):
                before = (k - unit * j) % 13
                temp[k] += case[before]
            temp[k] %= M
    else:
        for k in range(13):
            before = (k - unit * int(S[i])) % 13
            temp[k] = case[before]
    case = temp
    unit *= 10
    unit %= 13
    temp = [0] * 13

print(case[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
M = 10**9+7

case = [0] * 13
case[0] = 1
unit = 1
for i in reversed(range(N)):
    temp = [0] * 13
    if(S[i] == '?'):
        for j in range(10):
            increase = unit * j % 13
            for k in range(13):
                before = (k - increase) % 13
                temp[k] += case[before]
                temp[k] %= M
    else:
        num = int(S[i])
        increase = unit * num % 13
        for k in range(13):
            before = (k - increase) % 13
            temp[k] = case[before]
    case = temp
    unit *= 10
    unit %= 13

print(case[5])


Fixed submission:
S = input()
M = 10**9+7

case = [1] + [0] * 12
temp = [0] * 13
unit = 1
before = 0
for i in reversed(range(len(S))):
    if(S[i] == '?'):
        for k in range(13):
            for j in range(10):
                before = (k - unit * j) % 13
                temp[k] += case[before]
            temp[k] %= M
    else:
        for k in range(13):
            before = (k - unit * int(S[i])) % 13
            temp[k] = case[before]
    case = temp
    unit *= 10
    unit %= 13
    temp = [0] * 13

print(case[5])

Buggy python submission (verdict: Runtime Error):
S = input()
N = len(S)
count = [0, 0, 0, 0, 0, 0]
mod = [1, -3, -4, -1, 3, 4]
m = 0
for i in range(N):
    if(S[N-i-1] == '?'):
        count[i % 6] += 1
    else:
        m += mod[i % 6] * int(S[N-i-1])
        m %= 13

M = 10**9 + 7
print(sum(count))

if(sum(count) == 0):
    print(0)
    exit()


def func(power):
    x = 10 ** power % M
    return x // 13
    
    
    
c_min = 13
remain_list = [0, 0, 0, 0, 0, 0]
power = 1
for i in range(6):
    if(count[i] == 0):
        continue
    else:
        remain = count[i] % 13
        power *=  (count[i] - remain)
        remain_list[i] = remain 

c = 0
for i in range(len(remain[0])):
    for j in range(len(remain[1])):
        for k in range(len(remain[2])):
            for l in range(len(remain[3])):
                for m in range(len(remain[4])):
                    for n in range(len(remain[5])):
    if i * mod[0] + j * mod[1] + k * mod[2] + l * mod[3] + m * mod[4] + n * mod[5] % 13 == 0:
        c += 1
                        
    
print(func(power) + c)


Fixed submission:
S = input()
M = 10**9+7

case = [1] + [0] * 12
temp = [0] * 13
unit = 1
before = 0
for i in reversed(range(len(S))):
    if(S[i] == '?'):
        for k in range(13):
            for j in range(10):
                before = (k - unit * j) % 13
                temp[k] += case[before]
            temp[k] %= M
    else:
        for k in range(13):
            before = (k - unit * int(S[i])) % 13
            temp[k] = case[before]
    case = temp
    unit *= 10
    unit %= 13
    temp = [0] * 13

print(case[5])