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

num = 0
q_list = []
d = 1
for i in range(len(s) - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
counts_save = [0] * 13
for d in q_list:
	for i in range(13):
		counts_save[i] = counts[i] % M
	for n in range(1, 10):
		r = (d * n) % 13
		for m in range(13):
			counts[(r + m) % 13] += counts_save[m]

print(counts[(13 + 5 - num) % 13] % M)


Fixed submission:

M = 10 ** 9 + 7
s = raw_input().strip()

num = 0
q_list = []
d = 1
for i in range(len(s) - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
counts_save = [0] * 13
for d in q_list:
	for i in range(13):
		counts_save[i] = counts[i] % M
	for n in range(1, 10):
		r = (d * n) % 13
		for m in range(13):
			counts[(r + m) % 13] += counts_save[m]

print(counts[(13 + 5 - num) % 13] % M)

Buggy python submission (verdict: Runtime Error):
#include <stdlib.h>
#include <string.h>
#include <stdio.h>

unsigned long M = 1000000007;

int main(void){
	unsigned char* buffer = malloc(100010);
	fgets(buffer, 100010, stdin);
	
	unsigned int* q_list = malloc(sizeof(int) * 100000);
	unsigned int q_count = 0;
	unsigned int num = 0;
	unsigned int d = 1;
	
	unsigned int len = strlen(buffer);
	while(1){
		unsigned char c = buffer[len - 1];
		if((c >= '0' && c <= '9') || c == '?'){
			break;
		}
		len --;
	}
	for(int i = len - 1; i >= 0; i --){
		unsigned char c = buffer[i];
		if(c == '?'){
			q_list[q_count ++] = d;
		}else{
			num = (num + (c - '0') * d) % 13;
		}
		d = (d * 10) % 13;
	}
	free(buffer);
	
	unsigned long counts_buffer[2][13];
	unsigned int b = 0;
	unsigned long *counts = counts_buffer[b];
	for(int i = 0; i < 13; i ++){
		counts[i] = 0;
	}
	counts[0] = 1;
	
	for(int j = 0; j < q_count; j ++){
		unsigned int d = q_list[j];
		unsigned long *new_counts = counts_buffer[1 - b];
		for(int i = 0; i < 13; i ++){
			new_counts[i] = 0;
		}
		for(int n = 0; n < 10; n ++){
			unsigned int r = (d * n) % 13;
			for(int m = 0; m < 13; m ++){
				unsigned int k = (r + m) % 13;
				new_counts[k] = (new_counts[k] + counts[m]) % M;
			}
		}
		b = 1 - b;
		counts = counts_buffer[b];
	}
	printf("%ld\n", counts[(13 + 5 - num) % 13]);
	return 0;
}
/*

M = 10 ** 9 + 7
s = input().strip()

num = 0
q_list = []
d = 1
l = len(s)
for i in range(l - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
for d in q_list:
	new_counts = [0] * 13
	for n in range(10):
		r = (d * n) % 13
		for m in range(13):
			k = (r + m) % 13
			new_counts[k] = (new_counts[k] + counts[m]) % M
	counts = new_counts
print(counts[(13 + 5 - num) % 13])
*/

Fixed submission:

M = 10 ** 9 + 7
s = raw_input().strip()

num = 0
q_list = []
d = 1
for i in range(len(s) - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
counts_save = [0] * 13
for d in q_list:
	for i in range(13):
		counts_save[i] = counts[i] % M
	for n in range(1, 10):
		r = (d * n) % 13
		for m in range(13):
			counts[(r + m) % 13] += counts_save[m]

print(counts[(13 + 5 - num) % 13] % M)

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

num = 0
q_list = []
d = 1
l = len(s)
for i in range(l - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
for d in q_list:
	new_counts = [0] * 13
	for n in range(10):
		r = (d * n) % 13
		for m in range(13):
			k = (r + m) % 13
			new_counts[k] = (new_counts[k] + counts[m]) % M
	counts = new_counts
print(counts[(13 + 5 - num) % 13])


Fixed submission:

M = 10 ** 9 + 7
s = raw_input().strip()

num = 0
q_list = []
d = 1
for i in range(len(s) - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
counts_save = [0] * 13
for d in q_list:
	for i in range(13):
		counts_save[i] = counts[i] % M
	for n in range(1, 10):
		r = (d * n) % 13
		for m in range(13):
			counts[(r + m) % 13] += counts_save[m]

print(counts[(13 + 5 - num) % 13] % M)

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

num = 0
q_list = []
d = 1
l = len(s)
for i in range(l - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d *= 10

counts = [0] * 13
counts[0] = 1
for d in q_list:
	new_counts = [0] * 13
	for n in range(10):
		r = (d * n) % 13
		for m in range(13):
			k = (r + m) % 13
			new_counts[k] = (new_counts[k] + counts[m]) % M
	counts = new_counts

print(counts[(13 + 5 - num) % 13])


Fixed submission:

M = 10 ** 9 + 7
s = raw_input().strip()

num = 0
q_list = []
d = 1
for i in range(len(s) - 1, -1, -1):
	c = s[i]
	if c != "?":
		num = (num + int(c) * d) % 13
	else:
		q_list.append(d)
	d = (d * 10) % 13

counts = [0] * 13
counts[0] = 1
counts_save = [0] * 13
for d in q_list:
	for i in range(13):
		counts_save[i] = counts[i] % M
	for n in range(1, 10):
		r = (d * n) % 13
		for m in range(13):
			counts[(r + m) % 13] += counts_save[m]

print(counts[(13 + 5 - num) % 13] % M)