Buggy python submission (verdict: Time Limit Exceeded):
import math, heapq
from operator import itemgetter as ig
from collections import defaultdict as dd
# 定数
INF = float("inf")
MOD = int(1e9 + 7)
# データ構造：ヒープ
class heapque:
    def __init__(self, *args):
        self.que = []
        for arg in args:
            self.push(arg)
    def push(self, v):
        heapq.heappush(self.que, v)
    def pop(self):
        return heapq.heappop(self.que)
# 最大公約数 / 最小公倍数
def gcd(v1, v2):
    if v2 == 0:
        return v1
    return gcd(v2, v1 % v2)
def lcm(v1, v2):
    return (v1 // gcd(v1, v2)) * v2
# 二分探索
def bsr(a, v, lo=0, hi=None):
    if hi == None:
        hi = len(a) - 1
    if hi < lo:
        return lo
    mi = (lo + hi) // 2
    if v < a[mi]:
        return bsr(a, v, lo, mi - 1)
    else:
        return bsr(a, v, mi + 1, hi)
# Union-Find木
class uft:
    def __init__(self, n):
        self.height = [1] * n
        self.group = [-1] * n
    def root(self, v):
        if self.group[v] < 0:
            return v
        self.group[v] = self.root(self.group[v])
        return self.group[v]
    def size(self, v):
        return - self.group[self.root(v)]
    def merge(self, v1, v2):
        v1, v2 = self.root(v1), self.root(v2)
        if v1 == v2:
            return
        if self.height[v1] < self.height[v2]:
            self.group[v2] += self.group[v1]
            self.group[v1] = v2
            self.height[v2] = max(self.height[v1] + 1, self.height[v2])
        else:
            self.group[v1] += self.group[v2]
            self.group[v2] = v1
            self.height[v1] = max(self.height[v1] , self.height[v2] + 1)

def main():
    S = input()
    dp = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
    dp[0][0] = 1
    for i, s in enumerate(S):
        i += 1
        loop = range(10) if s == "?" else [int(s)]
        for n in range(13):
            for m in loop:
                dp[i][(n * 10 + m) % 13] += dp[i - 1][n]
                dp[i][(n * 10 + m) % 13] %= MOD
    print(dp[-1][5])

main()


Fixed submission:
MOD = 10 ** 9 + 7

S = input()
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
	if s == "?":
		for n in range(13):
			for m in range(10):
				mod = (n * 10 + m) % 13
				dp[i + 1][mod] += dp[i][n]
				dp[i + 1][mod] %= MOD
	else:
		m = int(s)
		for n in range(13):
			mod = (n * 10 + m) % 13
			dp[i + 1][mod] += dp[i][n]
			dp[i + 1][mod] %= MOD

#for l in dp:
#	print(l)

print(dp[-1][5])

Buggy python submission (verdict: Runtime Error):
def main():
    S = input()
    dp = [[0 for _ in range(13)] for _ in range(len(S) + 1)]
    dp[0][0] = 1
    for i, s in enumerate(S):
        i += 1
        loop = range(10) if s == "?" else [int(s)]
        for n in range(13):
            for m in loop:
                dp[i][(n * 10 + m) % 13] += dp[i - 1][n]
                dp[i][(n * 10 + m) % 13] %= MOD
    print(dp[-1][5])

main()


Fixed submission:
MOD = 10 ** 9 + 7

S = input()
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
	if s == "?":
		for n in range(13):
			for m in range(10):
				mod = (n * 10 + m) % 13
				dp[i + 1][mod] += dp[i][n]
				dp[i + 1][mod] %= MOD
	else:
		m = int(s)
		for n in range(13):
			mod = (n * 10 + m) % 13
			dp[i + 1][mod] += dp[i][n]
			dp[i + 1][mod] %= MOD

#for l in dp:
#	print(l)

print(dp[-1][5])

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

S = input()
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
	if s == "?":
		for n in range(13):
			for m in range(10):
				mod = (n * 10 + m) % 13
				dp[i + 1][mod] += dp[i][n]
				dp[i + 1][mod] %= MOD
	else:
		m = int(s)
		for n in range(13):
			mod = (n * 10 + m) % 13
			dp[i + 1][mod] += dp[i][n]
			dp[i + 1][mod] %= MOD

#for l in dp:
#	print(l)

print(dp[-1][5])


Fixed submission:
MOD = 10 ** 9 + 7

S = input()
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1

for i, s in enumerate(S):
	if s == "?":
		for n in range(13):
			for m in range(10):
				mod = (n * 10 + m) % 13
				dp[i + 1][mod] += dp[i][n]
				dp[i + 1][mod] %= MOD
	else:
		m = int(s)
		for n in range(13):
			mod = (n * 10 + m) % 13
			dp[i + 1][mod] += dp[i][n]
			dp[i + 1][mod] %= MOD

#for l in dp:
#	print(l)

print(dp[-1][5])