Buggy python submission (verdict: Time Limit Exceeded):
import sys
#input = sys.stdin.buffer.readline
import numpy as np

def main():
    s = str(input())
    l = len(s)
    dp = np.zeros((2,13),dtype=int)
    MOD = 10**9+7
    dp[0][0] = 1
    now,use = 0,1
    
    for st in s:
        for j in range(13):
            if st != "?":
                num = int(st)
                dp[use][(j*10+num)%13] = dp[now][j]
            else:
                for k in range(10):
                    dp[use][(j*10+k)%13] += dp[now][j]
            dp[use][j] %= MOD
        dp[now] = [0 for _ in range(13)]
        now,use = use,now
    
    print(dp[now][5]%MOD)

if __name__ == "__main__":
    main()

Fixed submission:
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    ans = [0 for _ in range(13)]
    MOD = 10**9+7
    ans[0] = 1
    
    for st in s:
        dp = [0 for _ in range(13)]
        for i in range(13):
            dp[(10*i)%13] = ans[i]%MOD
        dp += dp
        if st != "?":
            for i in range(13):
                num = int(st)
                ans[i] = dp[i+13-num]
        else:
            for i in range(13):
                ans[i] = sum(dp[i+4:i+14])
    
    print(ans[5]%MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    dp = [[0 for _ in range(13)] for _ in range(2)]
    MOD = 10**9+7
    dp[0][0] = 1
    now,use = 0,1
    
    for st in s:
        for j in range(13):
            if st != "?":
                num = int(st)
                dp[use][(j*10+num)%13] = dp[now][j]
            else:
                for k in range(10):
                    dp[use][(j*10+k)%13] += dp[now][j]
            dp[use][j] %= MOD
        dp[now] = [0 for _ in range(13)]
        now,use = use,now
    
    print(dp[now][5]%MOD)

if __name__ == "__main__":
    main()

Fixed submission:
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    ans = [0 for _ in range(13)]
    MOD = 10**9+7
    ans[0] = 1
    
    for st in s:
        dp = [0 for _ in range(13)]
        for i in range(13):
            dp[(10*i)%13] = ans[i]%MOD
        dp += dp
        if st != "?":
            for i in range(13):
                num = int(st)
                ans[i] = dp[i+13-num]
        else:
            for i in range(13):
                ans[i] = sum(dp[i+4:i+14])
    
    print(ans[5]%MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    dp = [[0 for _ in range(13)] for _ in range(2)]
    MOD = 10**9+7
    dp[0][0] = 1
    now,use = 0,1
    
    for i in range(l):
        for j in range(13):
            if s[i] != "?":
                num = int(s[i])
                dp[use][(j*10+num)%13] += dp[now][j]
            else:
                for k in range(10):
                    dp[use][(j*10+k)%13] += dp[now][j]
            dp[use][j] %= MOD
        dp[now] = [0 for _ in range(13)]
        now,use = use,now
    
    print(dp[now][5]%MOD)

if __name__ == "__main__":
    main()

Fixed submission:
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    ans = [0 for _ in range(13)]
    MOD = 10**9+7
    ans[0] = 1
    
    for st in s:
        dp = [0 for _ in range(13)]
        for i in range(13):
            dp[(10*i)%13] = ans[i]%MOD
        dp += dp
        if st != "?":
            for i in range(13):
                num = int(st)
                ans[i] = dp[i+13-num]
        else:
            for i in range(13):
                ans[i] = sum(dp[i+4:i+14])
    
    print(ans[5]%MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    dp = [[0 for _ in range(13)] for _ in range(2)]
    MOD = 10**9+7
    dp[0][0] = 1
    now,use = 0,1
    
    for i in range(l):
        for j in range(13):
            if s[i] != "?":
                num = int(s[i])
                dp[use][(j*10+num)%13] += dp[now][j]
            else:
                for k in range(10):
                    dp[use][(j*10+k)%13] += dp[now][j]
        for j in range(13):
            dp[use][j] %= MOD
        dp[now] = [0 for _ in range(13)]
        now,use = use,now
    
    print(dp[now][5])

if __name__ == "__main__":
    main()

Fixed submission:
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    ans = [0 for _ in range(13)]
    MOD = 10**9+7
    ans[0] = 1
    
    for st in s:
        dp = [0 for _ in range(13)]
        for i in range(13):
            dp[(10*i)%13] = ans[i]%MOD
        dp += dp
        if st != "?":
            for i in range(13):
                num = int(st)
                ans[i] = dp[i+13-num]
        else:
            for i in range(13):
                ans[i] = sum(dp[i+4:i+14])
    
    print(ans[5]%MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    dp = [[0 for _ in range(13)] for _ in range(l+1)]
    MOD = 10**9+7
    dp[0][0] = 1
    
    for i in range(l):
        for j in range(13):
            if s[i] != "?":
                num = int(s[i])
                dp[i+1][(j*10+num)%13] += dp[i][j]
            else:
                for k in range(10):
                    dp[i+1][(j*10+k)%13] += dp[i][j]
        for j in range(13):
            dp[i+1][j] %= MOD
    
    print(dp[-1][5])

if __name__ == "__main__":
    main()

Fixed submission:
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    ans = [0 for _ in range(13)]
    MOD = 10**9+7
    ans[0] = 1
    
    for st in s:
        dp = [0 for _ in range(13)]
        for i in range(13):
            dp[(10*i)%13] = ans[i]%MOD
        dp += dp
        if st != "?":
            for i in range(13):
                num = int(st)
                ans[i] = dp[i+13-num]
        else:
            for i in range(13):
                ans[i] = sum(dp[i+4:i+14])
    
    print(ans[5]%MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
#import sys
#input = sys.stdin.buffer.readline

def main():
    S = list(str(input()))
    a = len(S)
    dp = [[0 for _ in range(13)] for _ in range(a+1)]
    dp[0][0] = 1
    INF = 10**9+7
    
    for i in range(a):
        if S[i] == "?":
            for j in range(10):
                for k in range(13):
                    dp[i+1][(10*k+j)%13] += dp[i][k]%INF
        else:
            num = int(S[i])
            for k in range(13):
                dp[i+1][(10*k+num)%13] += dp[i][k]%INF
    
    print(dp[-1][5]%INF)
    
if __name__ == "__main__":
    main()

Fixed submission:
import sys
#input = sys.stdin.buffer.readline

def main():
    s = str(input())
    l = len(s)
    ans = [0 for _ in range(13)]
    MOD = 10**9+7
    ans[0] = 1
    
    for st in s:
        dp = [0 for _ in range(13)]
        for i in range(13):
            dp[(10*i)%13] = ans[i]%MOD
        dp += dp
        if st != "?":
            for i in range(13):
                num = int(st)
                ans[i] = dp[i+13-num]
        else:
            for i in range(13):
                ans[i] = sum(dp[i+4:i+14])
    
    print(ans[5]%MOD)

if __name__ == "__main__":
    main()