Buggy python submission (verdict: Time Limit Exceeded):
# import sys


# fin = sys.stdin.readline
MOD = 10 ** 9 + 7
S = input()[::-1]
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
for i, c in enumerate(S, start=1):
    base = 10 ** (i - 1) % 13
    if c != '?':
        d = int(c) * base % 13
        for r in range(13):
            c = (d + r) % 13
            dp[i][c] += dp[i - 1][r]
            dp[i][c] %= MOD
    else:
        for d in range(10):
            d = d * base % 13
            for r in range(13):
                c = (d + r) % 13
                dp[i][c] += dp[i - 1][r]
                dp[i][c] %= MOD
print(dp[-1][5])


Fixed submission:
# import sys


# fin = sys.stdin.readline
MOD = 10 ** 9 + 7
S = input()[::-1]
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
for i, c in enumerate(S, start=1):
    base = pow(10, i - 1, 13)
    if c != '?':
        d = int(c) * base % 13
        for r in range(13):
            c = (d + r) % 13
            dp[i][c] += dp[i - 1][r]
            dp[i][c] %= MOD
    else:
        for d in range(10):
            d = d * base % 13
            for r in range(13):
                c = (d + r) % 13
                dp[i][c] += dp[i - 1][r]
                dp[i][c] %= MOD
print(dp[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
import sys


fin = sys.stdin.readline
MOD = 10 ** 9 + 7
S = fin().rstrip("\n")[::-1]
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
for i, c in enumerate(S, start=1):
    base = 10 ** (i - 1) % 13
    if c != '?':
        d = int(c) * base % 13
        for r in range(13):
            c = (d + r) % 13
            dp[i][c] += dp[i - 1][r]
            dp[i][c] %= MOD
    else:
        for d in range(10):
            d = d * base % 13
            for r in range(13):
                c = (d + r) % 13
                dp[i][c] += dp[i - 1][r]
                dp[i][c] %= MOD
print(dp[-1][5])


Fixed submission:
# import sys


# fin = sys.stdin.readline
MOD = 10 ** 9 + 7
S = input()[::-1]
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
for i, c in enumerate(S, start=1):
    base = pow(10, i - 1, 13)
    if c != '?':
        d = int(c) * base % 13
        for r in range(13):
            c = (d + r) % 13
            dp[i][c] += dp[i - 1][r]
            dp[i][c] %= MOD
    else:
        for d in range(10):
            d = d * base % 13
            for r in range(13):
                c = (d + r) % 13
                dp[i][c] += dp[i - 1][r]
                dp[i][c] %= MOD
print(dp[-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
import sys


fin = sys.stdin.readline
MOD = 10 ** 9 + 7
S = fin().rstrip("\n")[::-1]
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
for i, c in enumerate(S, start=1):
    base = 10 ** (i - 1)
    if c != '?':
        d = int(c) * base % 13
        for r in range(13):
            dp[i][(d + r) % 13] += dp[i - 1][r]
            dp[i][(d + r) % 13] %= MOD
    else:
        for d in range(10):
            d = d * base % 13
            for r in range(13):
                dp[i][(d + r) % 13] += dp[i - 1][r]
                dp[i][(d + r) % 13] %= MOD
print(dp[-1][5])


Fixed submission:
# import sys


# fin = sys.stdin.readline
MOD = 10 ** 9 + 7
S = input()[::-1]
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
for i, c in enumerate(S, start=1):
    base = pow(10, i - 1, 13)
    if c != '?':
        d = int(c) * base % 13
        for r in range(13):
            c = (d + r) % 13
            dp[i][c] += dp[i - 1][r]
            dp[i][c] %= MOD
    else:
        for d in range(10):
            d = d * base % 13
            for r in range(13):
                c = (d + r) % 13
                dp[i][c] += dp[i - 1][r]
                dp[i][c] %= MOD
print(dp[-1][5])