Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

MOD = 10**9 + 7
s = input()
count = np.zeros(13, dtype = int)
count[0] = 1
for i in range(len(s)):
    new = np.zeros(13, dtype = int)
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = np.concatenate([count[-div:], count[:-div]], 0)
    else:
        new = np.copy(count)
        for div in range(1, 10):
            new += np.concatenate([count[-div:], count[:-div]], 0)
        count = new
    count %= MOD
print(count[5])

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

MOD = 10**9 + 7
s = input()
count = np.zeros(13, dtype = int)
count[0] = 1
for i in range(len(s)):
    new = np.zeros(13, dtype = int)
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = np.copy(new)
    if s[i] != "?":
        div = int(s[i])
        count = np.concatenate([count[-div:], count[:-div]], 0)
    else:
        new = np.copy(count)
        for div in range(1, 10):
            new += np.concatenate([count[-div:], count[:-div]], 0)
        count = np.copy(new)
    count %= MOD
print(count[5])

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

MOD = 10**9 + 7
s = input()
count = np.zeros(13, dtype = int)
count[0] = 1
for i in range(1, len(s) + 1):
    if s[-i] != "?":
        div = (int(s[-i]) * 10 ** (i - 1)) % 13
        count = np.concatenate([count[-div:], count[:-div]], 0)
    else:
        new = np.copy(count)
        for j in range(1, 10):
            div = (j * (10 ** (i - 1))) % 13
            new += np.concatenate([count[-div:], count[:-div]], 0)
        count = np.copy(new)
    count %= MOD
print(count[5])

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

MOD = 10**9+7
S = str(input())
check = []
ans = 0
plo = np.array([1]+[0] * 12)
N = len(S)
for i in range(N):
    if S[N - 1 - i] == '?':
        temp = np.copy(plo)
        for k in range(1, 10):
            j = (k * 10 ** i) % 13
            temp += np.r_[plo[-j:],plo[:-j]]
        plo = temp % MOD
    else:
        j = (int(S[N - 1 - i]) * 10 ** i) % 13
        plo = np.r_[plo[-j:],plo[:-j]]
print(plo[5])

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

MOD = 10**9+7
S = str(input())
check = []
ans = 0
plo = np.array([1]+[0] * 12)
N = len(S)
for i in range(N):
    if S[N - 1 - i] == '?':
        temp = np.array([0] * 13)
        for k in range(10):
            j = (k * 10 ** i) % 13
            temp += np.r_[plo[-j:],plo[:-j]]
        plo = temp % MOD
    else:
        j = (int(S[N - 1 - i]) * 10 ** i) % 13
        plo = np.r_[plo[-j:],plo[:-j]]
print(plo[5])

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

MOD = 10**9+7
S = str(input())
check = []
ans = 0
plo = np.zeros(13, dtype = int)
plo[0] = 1
N = len(S)
for i in range(N):
    if S[N - 1 - i] == '?':
        temp = np.zeros(13, dtype = int)
        for k in range(10):
            j = (k * 10 ** i) % 13
            temp += np.r_[plo[-j:],plo[:-j]]
        plo = temp
        plo = plo % MOD
    else:
        p = int(S[N - 1 - i])
        j = (p * 10 ** i) % 13
        plo = np.r_[plo[-j:],plo[:-j]]
print(plo[5])

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

S = input()
check = []
ans = 0
plo = np.zeros(13, dtype = int)
N = len(S)
for i in range(N):
    if S[N - 1 - i] == '?':
        check.append(i)
    else:
        ans += int(S[N - 1 - i])*10**i
if len(check) == 0:
    print((ans % 13 == 5) * 1)
else:
    p = check.pop()
    for i in range(10):
        j = (i * 10 ** p) % 13
        plo[j] = 1
    for p in check:
        temp = np.zeros(13, dtype = int)
        for i in range(10):
            j = (i * 10 ** p) % 13
            temp += np.r_[plo[-j:],plo[:-j]]
        plo = temp
        plo = plo % (10**9+7)
    l = (5 - ans % 13) % 13
    print(plo[l] % (10 ** 9 + 7))

Fixed submission:
from copy import copy

MOD = 10**9 + 7
s = input()
count = [0 for _ in range(13)]
count[0] = 1
for i in range(len(s)):
    new = [0 for _ in range(13)]
    for m in range(13):
        new[(m * 10) % 13] = count[m]
    count = new
    if s[i] != "?":
        div = int(s[i])
        count = count[-div:] +  count[:-div]
    else:
        new = [0 for _ in range(13)]
        pre = sum(count[:3])
        SUM = sum(count) % MOD
        for j in range(13):
            pre += count[(j+3) % 13]
            pre -= count[j % 13]
            new[j] = (SUM - pre) % MOD
        count = new
print(count[5])