qyliang/CodeNanoFix huggingface dataset:
Buggy code:
mod = 10 ** 9 + 7

s = input()

cur = [0] * 13
c = s[-1]
if c != '?':
    cur[int(c)] = 1
else:
    for j in range(10):
        cur[j] = 1

d = 10
for c in s[::-1]:
    if c != '?':
        l = [int(c)]
    else:
        l = [j for j in range(10)]
    tmp = [0] * 13
    for j in l:
        for k in range(13):
            ind = (j * d + k) % 13
            tmp[ind] += cur[k] % mod
    cur = tmp
    d *= 10
print(cur[5])

Fixed code:
mod = 10 ** 9 + 7

s = input()

cur = [0] * 13
cur[0] = 1
d = 1
for c in s[::-1]:
    if c != '?':
        l = [int(c)]
    else:
        l = [j for j in range(10)]
    tmp = [0] * 13
    for j in l:
        for k in range(13):
            ind = (j * d + k) % 13
            tmp[ind] += cur[k]
            tmp[ind] %= mod
    cur = tmp
    d *= 10
    d %= 13
print(cur[5])
Buggy code:

S = input()

s = list(S)

s.reverse()

#print (s)

lis = [0] * 13
lis[0] = 1
keta = 1

for i in range(len(S)):

    nlis = [0] * 13

    if s[i] == "?":

        for j in range(10):

            for k in range(13):

                nlis[ (k + (j * keta)) % 13] += lis[k]

    else:

        now = int(s[i])

        for k in range(13):

            nlis[ (k + (now * keta)) % 13 ] += lis[k]

    #print (nlis)
    keta *= 10
    for j in range(13):
        nlis[j] = lis[j]

#print (lis)
print (lis[5] % (10**9 + 7))


Fixed code:

S = input()

s = list(S)

s.reverse()

#print (s)

lis = [0] * 13
lis[0] = 1
keta = 1

for i in range(len(S)):

    nlis = [0] * 13



    for j in range(10):

        for k in range(13):

            if s[i]== "?" or j == int(s[i]):
                nlis[ (k + (j * keta)) % 13] += lis[k]

    keta *= 10
    keta = keta % 13
    for j in range(13):
        lis[j] = nlis[j] % (10**9 + 7)

#print (lis)
print (lis[5] % (10**9 + 7))
Buggy code:
import sys
sys.setrecursionlimit(10**7)
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x) - 1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def II(): return int(sys.stdin.readline())
def SI(): return sys.stdin.readline().strip()
INF = 10 ** 18
MOD = 10 ** 9 + 7

debug = True
#debug = False

def dprint(*objects):
    if debug == True:
        print(*objects)

def solve():
    S = SI()
    S = S[::-1]
    N = len(S)
    dp = [[0 for j in range(13)] for i in range(N)]

    for i in range(N):
        c = S[i]
        if i == 0:
            if c == '?':
                for j in range(9):
                    dp[i][j] = 1
            else:
                dp[i][int(c)] = 1
        else:
            for k in range(13):
                if c == '?':
                    for j in range(9):
                        amari = (j * (10 ** i)) // 13
                        dp[i][k] += dp[i-1][(k+amari)%13]
                else:
                    amari = (int(c) * (10 ** i)) // 13
                    dp[i][k] = dp[i - 1][(k + amari) % 13]

    dprint(dp)
    print(dp[N-1][5])


solve()

Fixed code:
import sys
sys.setrecursionlimit(10**7)
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x) - 1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def II(): return int(sys.stdin.readline())
def SI(): return sys.stdin.readline().strip()
INF = 10 ** 18
MOD = 10 ** 9 + 7

debug = True
debug = False

def dprint(*objects):
    if debug == True:
        print(*objects)

def solve():
    S = SI()
    S = S[::-1]
    N = len(S)
    dp = [0 for j in range(13)]
    dp2 = [0 for j in range(13)]

    for i, c in enumerate(S):
        if i == 0:
            if c == '?':
                for j in range(10):
                    dp[j] = 1
            else:
                dp[int(c)] = 1
        else:
            if c == '?':
                for j in range(10):
                    amari = (j * pow(10, i, 13)) % 13
                    for k in range(13):
                        dp2[k] = (dp2[k] + dp[(k-amari)%13]) % MOD
            else:
                for k in range(13):
                    amari = (int(c) * pow(10, i, 13)) % 13
                    dp2[k] = (dp2[k] + dp[(k-amari) % 13]) % MOD

            dp = dp2
            dp2 = [0 for j in range(13)]

    dprint(dp)
    print(dp[5])



solve()
Buggy code:
def slove():
    import sys
    input = sys.stdin.readline
    s = [int(v) if v != "?" else -1 for v in list(str(input().rstrip('\n')))]
    dp = [[0] * 13 for _ in range(2)]
    mod = 10 ** 9 + 7
    for i in range(len(s)):
        if s[-i-1] == -1:
            for j in range(10):
                if i == 0:
                    dp[1][j % 13] += 1
                else:
                    for k in range(13):
                        dp[1][(10 ** (i % 13) * j + k) % 13] += (dp[0][k] % mod)
        else:
            if i == 0:
                dp[1][s[-i-1] % 13] += 1
            else:
                for k in range(13):
                    dp[1][(10 ** (i % 13) * s[-i-1] + k) % 13] += (dp[0][k] % mod)
        for j in range(13):
            dp[0][j] = dp[1][j]
            dp[1][j] = 0
    print(dp[0][5] % mod)


if __name__ == '__main__':
    slove()


Fixed code:
def slove():
    import sys
    input = sys.stdin.readline
    s = [int(v) if v != "?" else -1 for v in list(str(input().rstrip('\n')))]
    dp = [[0] * 13 for _ in range(2)]
    mod = 10 ** 9 + 7

    for i in range(1):
        if s[-i-1] == -1:
            for j in range(10):
                dp[0][j % 13] += 1
        else:
            dp[0][s[-i - 1] % 13] += 1

    for i in range(1, len(s)):
        m = pow(10, i, 13)
        if s[-i-1] == -1:
            for j in range(10):
                mj = m * j
                for k in range(13):
                    dp[1][(mj + k) % 13] += dp[0][k]
        else:
            for k in range(13):
                dp[1][(m * s[-i-1] + k) % 13] += dp[0][k]
        for j in range(13):
            dp[0][j] = dp[1][j] % mod
            dp[1][j] = 0
    print(dp[0][5] % mod)


if __name__ == '__main__':
    slove()
Buggy code:
S=input()
l=len(S)
dp=[[0 for i in range(13)] for j in range(l)]
mod=10**9+7

if S[0]=='?':
  for i in range(10):
    dp[0][i]=1
else:
  dp[int(S[0])]=1
for i in range(1,l):
  if S[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i][(10*j+k)%13]+=dp[i-1][j]%mod
  else:
    for j in range(13):
      dp[i][(10*j+int(S[i]))%13]+=dp[i-1][j]%mod

print(dp[l-1][5]%mod)

Fixed code:
S=input()
l=len(S)
dp=[0 for i in range(13)] 
mod=10**9+7
 
if S[0]=='?':
  for i in range(10):
    dp[i]=1
else:
  dp[int(S[0])]=1
  
for i in range(1,l):
  count=[0 for i in range(13)]
  if S[i]=='?':
    for j in range(13):
      for k in range(10):
        count[(10*j+k)%13]+=dp[j]%mod
  else:
    for j in range(13):
      count[(10*j+int(S[i]))%13]+=dp[j]%mod
  dp=count
 
print(dp[5]%mod)
Buggy code:
S=input()
MOD=10**9+7
dp=[[0]*13 for i in range(len(S)+1)]
dp[0][0]=1
for i in range(len(S)):
    if S[i]=="?":
        for j in range(10):
            for k in range(13):
                dp[i+1][(10*k+j)%13]+=dp[i][k]%MOD
    else:
        a=int(S[i])
        for k in range(13):
            dp[i+1][(10*k+j)%13]+=dp[i][k]%MOD
print(dp[len(S)][5]%MOD)

Fixed code:
S=input()
MOD=10**9+7
dp=[[0]*13 for i in range(len(S)+1)]
dp[0][0]=1
for i in range(len(S)):
    if S[i]=="?":
        for j in range(10):
            for k in range(13):
                dp[i+1][(10*k+j)%13]+=dp[i][k]%MOD
    else:
        a=int(S[i])
        for k in range(13):
            dp[i+1][(10*k+a)%13]+=dp[i][k]%MOD
print(dp[len(S)][5]%MOD)
Buggy code:
s = input()
l = len(s)
MOD = 10**(+7)
dp = [[0]*13 for _ in range(100005)]
dp[0][0] = 1
for i in range(l):

    c = -1 if s[i] == '?' else int(s[i])
    for j in range(10):
        if c != -1 and c != j:
            continue
        for r in range(13):
            dp[i+1][(10*r+j)%13] += dp[i][r]
    for k in range(13):
        dp[i+1][k] %= MOD
print(dp[l][5])

Fixed code:
s = input()
l = len(s)
MOD = 10**9+7
dp = [[0]*13 for _ in range(100005)]
dp[0][0] = 1
for i in range(l):

    c = -1 if s[i] == '?' else int(s[i])
    for j in range(10):
        if c != -1 and c != j:
            continue
        for r in range(13):
            dp[i+1][(10*r+j)%13] += dp[i][r]
    for k in range(13):
        dp[i+1][k] %= MOD
print(dp[l][5])
Buggy code:
import numpy as np

S = input()
mod = int(10**9 + 7)
dp = np.zeros(13, dtype=int)
dp[0] = 1

M = np.zeros((13, 13), dtype=int)
for i in range(13):
    for d in range(10):
        M[i][(i * 10 + d) % 13] += 1

for s in S:
    ndp = np.zeros(13, dtype=int)
    if s == '?':
        ndp = np.dot(dp, M)
    else:
        d = int(s)
        for j in range(13):
            ndp[(j * 10 + d) % 13] += dp[j]
    dp = ndp % mod
    print(dp)

print(dp[5])

Fixed code:
import numpy as np

S = input()
mod = int(10**9 + 7)
dp = np.zeros(13, dtype=int)
dp[0] = 1

M = np.zeros((13, 13), dtype=int)
for i in range(13):
    for d in range(10):
        M[i][(i * 10 + d) % 13] += 1

for s in S:
    ndp = np.zeros(13, dtype=int)
    if s == '?':
        ndp = np.dot(dp, M)
    else:
        d = int(s)
        for j in range(13):
            ndp[(j * 10 + d) % 13] += dp[j]
    dp = ndp % mod

print(dp[5])
Buggy code:
    import numpy as np
     
    s = input()
    p = np.array([0]*13)
    p[0] = 1
     
    amari = [[0]*13 for _ in range(13)]
    for j in range(10):
      for i in range(13):
        amari[i][(i*10+j)%13] += 1
    M = np.array(amari)
     
    for si in range(len(s)):
      a = np.array([0]*13)
      if s[si] == '?':
        a = np.dot(p,M)
      else:
        c = int(s[si])
        for i in range(13):
          a[(i*10+c)%13] += p[i]
      p = np.mod(a,1000000007)
    print(p[5])

Fixed code:
import numpy as np
 
s = input()
p = np.array([0]*13)
p[0] = 1
 
amari = [[0]*13 for _ in range(13)]
for j in range(10):
  for i in range(13):
    amari[i][(i*10+j)%13] += 1
M = np.array(amari)
 
for si in range(len(s)):
  a = np.array([0]*13)
  if s[si] == '?':
    a = np.dot(p,M)
  else:
    c = int(s[si])
    for i in range(13):
      a[(i*10+c)%13] += p[i]
  p = np.mod(a,1000000007)
print(p[5])
Buggy code:
s = input()
mod = 10 ** 9 + 7
dp = [[0 for _ in range(13)] for __ in range(len(s) + 1)]
dp[0][0] = 1
for i, si in enumerate(s):
    memo[i+1] = memo[i] * 10 % 13
    if si == '?':
        for n in range(10):
            for j in range(13):
                dp[i+1][(n + j * 10) % 13] += dp[i][j]
    else:
        for j in range(13):
                dp[i+1][(int(si) + j * 10) % 13] += dp[i][j]
    for k in range(13):
      dp[i+1][k] = dp[i+1][k] % mod
print(dp[len(s)][5])


Fixed code:
s = input()
mod = 10 ** 9 + 7
memo = [0] * (len(s) + 1)
memo[0] = 1
dp = [[0 for _ in range(13)] for __ in range(len(s) + 1)]
dp[0][0] = 1
for i, si in enumerate(s[::-1]):
    memo[i+1] = memo[i] * 10 % 13
    if si == '?':
        for n in range(10):
            a = n * memo[i]
            for j in range(13):
                dp[i+1][(j + a) % 13] = (dp[i+1][(j + a) % 13] + dp[i][j]) % mod
    else:
        a = int(si) * memo[i]
        for j in range(13):
            dp[i+1][(j + a) % 13] = (dp[i+1][(j + a) % 13] + dp[i][j]) % mod
print(dp[len(s)][5])
Buggy code:
# -*- coding: utf-8 -*-
# D - Digits Parade
import sys 
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
MOD = 10**9+7
S = readline().decode().rstrip()
N = len(S)

dp = [0]*13
dp[0] = 1
# if S[0] == '?':
#     rem = pow(10,N,13)
#     for j in range(10):
#         t = rem*j%13
#         dp[t] += 1
# else:
#     s = int(S[0])
#     rem = pow(10,N,13)*s%13
#     dp[rem] += 1

for i in range(N):
    s = S[i]
    ndp = [0]*13
    rem = pow(10,N-i,13)
    if s == '?':
        for j in range(10):
            t = rem*j%13
            for k in range(13):
                ndp[(k+t)%13] += dp[k]
                ndp[(k+t)%13] %= MOD
    else:
        s = int(s)
        t = rem*s%13
        for k in range(13):
            ndp[(k+t)%13] += dp[k]
            ndp[(k+t)%13] %= MOD
    dp = ndp
print(dp[6]%MOD)

Fixed code:
# -*- coding: utf-8 -*-
# D - Digits Parade
import sys 
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
MOD = 10**9+7
S = readline().decode().rstrip()
N = len(S)

dp = [0]*13
dp[0] = 1
# if S[0] == '?':
#     rem = pow(10,N,13)
#     for j in range(10):
#         t = rem*j%13
#         dp[t] += 1
# else:
#     s = int(S[0])
#     rem = pow(10,N,13)*s%13
#     dp[rem] += 1

for i in range(N):
    s = S[i]
    ndp = [0]*13
    rem = pow(10,N-i-1,13)
    if s == '?':
        for j in range(10):
            t = rem*j%13
            for k in range(13):
                ndp[(k+t)%13] += dp[k]
                ndp[(k+t)%13] %= MOD
    else:
        s = int(s)
        t = rem*s%13
        for k in range(13):
            ndp[(k+t)%13] += dp[k]
            ndp[(k+t)%13] %= MOD
    dp = ndp
print(dp[5]%MOD)
Buggy code:
P=[1,10,9,12,3,4]
def f(A,p,N):
    if p==0:return [1&(i in N) for i in range(13)]
    B=[0]*13
    for n in N:
        for i in range(13):B[(i+(n*P[p%6]))%13]+=A[i]
    return B

S=reversed(input())
A=[0]
for p,s in enumerate(S):
    print(A)
    if s=="?":A=f(A,p,range(10))
    else:A=f(A,p,[int(s)])
print(A)

Fixed code:
P=[1,10,9,12,3,4]
m=10**9+7
def f(A,p,N):
    if p==0:return [1&(i in N) for i in range(13)]
    p%=6
    B=[0]*13
    for n in N:
        for i in range(13):
            c=(i+(n*P[p]))%13
            B[c]=(B[c]+A[i])%m
    return B

S=reversed(input())
A=[0]
for p,s in enumerate(S):
    if s=="?":A=f(A,p,range(10))
    else:A=f(A,p,[int(s)])
print(A[5])
Buggy code:
M = 10**9 + 7
a = [1] + [0] * 12
p = 1
for c in reversed(input()):
    if c == '?':
        a = list(map(sum, zip(*(a[-j % 13:] + a[:-j % 13]
                              for j in range(0, p * 10, p)))))
    elif c > '0':
        j = -p * int(c) % 13
        a = a[j:] + a[:j]
    p = p * 10 % 13
print(a[5])


Fixed code:
M = 10**9 + 7
a = [1] + [0] * 12
p = 1
for c in reversed(input()):
    if c == '?':
        a = [sum(x) % M for x in zip(*(a[j % 13:] + a[:j % 13]
                              for j in range(0, -p * 10, -p)))]
    elif c > '0':
        j = -p * int(c) % 13
        a = a[j:] + a[:j]
    p = p * 10 % 13
print(a[5])
Buggy code:
M = 10**9 + 7
a = [1] + [0] * 12
p = 1
for c in reversed(input()):
    r = range(0, p * 10, p) if c == '?' else (p * int(c),)
    if c != '?':
      a = [a[i - p * int(c)] for i in range(13)]
    else:
      a = [sum(a[(i - j) % 13] for j in range(0, p * 10, p)) % M for i in range(13)] 
    p = p * 10 % 13
print(a[5])


Fixed code:
M = 10**9 + 7
a = [1] + [0] * 12
p = 1
for c in reversed(input()):
    r = range(10) if c == '?' else (int(c),)
    a = [sum(a[(i - p * j) % 13] for j in r) % M for i in range(13)]
    p = p * 10 % 13
print(a[5])
Buggy code:
def find(S):
    MOD=10**9+7
    S=S[::-1]
    dp=[[0]*13 for i in range(len(S))]
    power=1
    if S[0]=="?":
        for i in range(10):
            dp[0][i]=1
    else:
        dp[0][int(S[0])]=1
    
    for i in range(1,len(S)):
        power*=10
        power%=13
        if S[i]=="?":
            for j in range(13):
                for k in range(10):
                    dp[i][j]+=dp[i-1][(j-power*k)%13]
                    dp[i][j]%=MOD
        else:
            for j in range(13):
                k=int(S[i])
                dp[i][j]+=dp[i-1][(j-power*k)%13]
                dp[i][j]%=MOD              
    return dp[-1][5]

Fixed code:
def find(S):
    MOD=10**9+7
    S=S[::-1]
    dp=[[0]*13 for i in range(len(S))]
    power=1
    if S[0]=="?":
        for i in range(10):
            dp[0][i]=1
    else:
        dp[0][int(S[0])]=1
    
    for i in range(1,len(S)):
        power*=10
        power%=13
        if S[i]=="?":
            for j in range(13):
                for k in range(10):
                    dp[i][j]+=dp[i-1][(j-power*k)%13]
                    dp[i][j]%=MOD
        else:
            for j in range(13):
                k=int(S[i])
                dp[i][j]+=dp[i-1][(j-power*k)%13]
                dp[i][j]%=MOD              
    return dp[-1][5]

S=input()
print(find(S))
Buggy code:
import sys


sys.setrecursionlimit(10 ** 6)
INF = float("inf")
MOD = 10 ** 9 + 7


def input():
    return sys.stdin.readline().strip()


def main():
    S = input()
    N = len(S)
    dp = [[0] * 13 for _ in range(N)]

    if S[0] == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(S[0])] = 1

    for i in range(1, N):
        if S[N - i - 1] != "?":
            for k in range(13):
                j = int(S[N - i - 1])
                idx = (k + j * (10 ** i)) % 13
                dp[i][idx] += dp[i - 1][k]
                dp[i][idx] %= MOD
        else:
            for j in range(10):
                for k in range(13):
                    idx = (k + j * (10 ** i)) % 13
                    dp[i][idx] += dp[i - 1][k]
                    dp[i][idx] %= MOD

    print(dp[-1][5])


if __name__ == "__main__":
    main()


Fixed code:
import sys


sys.setrecursionlimit(10 ** 6)
INF = float("inf")
MOD = 10 ** 9 + 7


def input():
    return sys.stdin.readline().strip()


def main():
    S = input()
    N = len(S)
    dp = [[0] * 13 for _ in range(N)]

    if S[-1] == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(S[-1])] = 1

    tenfactor = 1
    for i in range(1, N):
        tenfactor *= 10
        tenfactor %= 13

        if S[N - i - 1] != "?":
            for k in range(13):
                j = int(S[N - i - 1])
                idx = (k + j * tenfactor) % 13
                dp[i][idx] += dp[i - 1][k]
                dp[i][idx] %= MOD
        else:
            for j in range(10):
                for k in range(13):
                    idx = (k + j * tenfactor) % 13
                    dp[i][idx] += dp[i - 1][k]
                    dp[i][idx] %= MOD

    print(dp[-1][5])


if __name__ == "__main__":
    main()
Buggy code:
import sys
input = sys.stdin.readline
import numpy as np

MOD = 10 ** 9 + 7
S = input().rstrip()

ten = np.zeros(13, dtype=np.int64)
ten[:10] += 1
add_all = [ten]
for _ in range(5):
  add_all.append(add_all[-1][np.arange(0,52,4)%13])

add_single = [[x * 10 ** i for x in range(10)] for i in range(6)]

add_all_count = [0] * 6
constant_term = 0
for i,s in enumerate(S[::-1]):
  if s == '?':
    add_all_count[i%6] += 1
  else:
    constant_term += add_single[i%6][int(s)]

def convolve(x,y):
  z = np.convolve(x,y) % MOD
  z[:12] += z[13:25]
  return z[:13] % MOD

def nth_convolve(arr,n):
  if n == 1:
    return arr
  x = nth_convolve(arr,n>>1)
  x = convolve(x,x)
  return convolve(arr,x) if n & 1 else x

dp = np.zeros(13, dtype=np.uint64)
dp[constant_term % 13] = 1
for arr,n in zip(add_all, add_all_count):
  if n > 0:
    dp = convolve(dp, nth_convolve(arr,n))

print(dp[5])


Fixed code:
import sys
input = sys.stdin.readline
import numpy as np

MOD = 10 ** 9 + 7
S = input().rstrip()

ten = np.zeros(13, dtype=np.int64)
ten[:10] += 1
add_all = [ten]
for _ in range(5):
  add_all.append(add_all[-1][np.arange(0,52,4)%13])

add_single = [[x * 10 ** i for x in range(10)] for i in range(6)]

add_all_count = [0,0,0,0,0,0]
constant_term = 0
for i,s in enumerate(S[::-1]):
  if s == '?':
    add_all_count[i%6] += 1
  else:
    constant_term += add_single[i%6][int(s)]

def convolve(x,y):
  z = np.zeros(25,dtype=np.int64)
  for i in range(13):
    z[i:i+13] += x[i] * y % MOD
  z[:12] += z[13:25]
  return z[:13] % MOD

def nth_convolve(arr,n):
  if n == 0:
    x = np.zeros(13, dtype=np.int64)
    x[0] = 1
    return x
  if n == 1:
    return arr
  x = nth_convolve(arr,n>>1)
  x = convolve(x,x)
  return convolve(arr,x) if n & 1 else x

dp = np.zeros(13, dtype=np.int64)
dp[constant_term % 13] = 1
for arr,n in zip(add_all, add_all_count):
  dp = convolve(dp, nth_convolve(arr,n))

print(dp[5])
Buggy code:
import numpy as np
MOD = 10 ** 9 + 7

dp = np.zeros(13, dtype = np.int64)
dp[0] = 1

move = np.arange(0,52,4) % 13
ten = np.ones(10, dtype=np.int64)
for s in input():
  dp = dp[move]
  if s == '?':
    dp = np.convolve(dp, ten)
    dp[:9] += dp[13:22]
    dp %= MOD
  else:
    s = int(s)
    dp = np.roll(dp, -s)
  
print(dp[5])


Fixed code:
import numpy as np
MOD = 10 ** 9 + 7

dp = np.zeros(13, dtype = np.int64)
dp[0] = 1

move = np.arange(0,52,4) % 13
ten = np.ones(10, dtype=np.int64)
for s in input():
  dp = dp[move]
  if s == '?':
    dp = np.convolve(dp, ten)
    dp[:9] += dp[13:22]
    dp %= MOD
  else:
    dp = np.roll(dp, int(s))
  
print(dp[5])
Buggy code:
# S=input()
S="".join(["1" for _ in range(10**4)])
# S = "??2??5"
# S= "?44"

MOD = 10**9+7
dp = {}
for i in range(13):
    dp[(-1,i)] = 0
dp[(-1,0)] = 1
for t,ss in enumerate(S[::-1]):
    tt = 10**t
    for i in range(13):
        dp[(t,i)] = 0
    if ss=="?":
        for i in range(13):
            for j in range(10):
                k = (t,(j*tt+i)%13)
                dp[k] += dp[(t-1,i)]
                dp[k] %= MOD
    else:
        s = int(ss)
        for i in range(13):
            k = (t,(s*tt+i)%13)
            dp[k] += dp[(t-1,i)]
            dp[k] %= MOD

print(dp[(t,5)])

Fixed code:
S=input()
# S="".join(["?" for _ in range(10**5)])
# S = "??2??5"
# S= "?44"

MOD = 10**9+7
dp = [[0 for i in range(13)] for j in range(len(S)+1)]
dp[0][0] = 1
for t,ss in enumerate(S[::-1]):
    if t==0:
        tt = 1
    else:
        tt = (10*tt)%13
    if ss=="?":
        for i in range(13):
            for j in range(10):
                k = (j*tt+i)%13
                dp[t+1][k] += dp[t][i]%MOD
    else:
        s = int(ss)
        for i in range(13):
            k = (s*tt+i)%13
            dp[t+1][k] += dp[t][i]%MOD

print(dp[t+1][5]%MOD)
Buggy code:
MOD = int(1e9 + 7)

s = input()
digits = len(s)

cnt = 0
for i, c in enumerate(reversed(s)):
    if c == '?':
        continue
    n = int(c) * pow(10, i, 13) % 13
    cnt += n
print(cnt)

before = [0] * 13
first_time = True
for i, c in enumerate(reversed(s)):
    if c != '?':
        continue
    if first_time:
        for j in range(10):
            n = j * pow(10, i, 13) % 13
            before[n] += 1
        first_time = False
        continue
    current = [0] * 13
    for j in range(10):
        n = j * pow(10, i, 13) % 13
        current[n] += 1
    after = [0] * 13
    for j in range(13):
        for k in range(13):
            after[j] += before[k] * current[(13 - k + j) % 13]
        after[j] %= MOD
    before = after

if first_time:
    if cnt % 13 == 5:
        print(1)
    else:
        print(0)
else:
    print(before[(5 - (cnt % 13)) % 13])


Fixed code:
MOD = int(1e9 + 7)

s = input()
digits = len(s)

cnt = 0
for i, c in enumerate(reversed(s)):
    if c == '?':
        continue
    n = int(c) * pow(10, i, 13) % 13
    cnt += n
# print(cnt)

before = [0] * 13
first_time = True
for i, c in enumerate(reversed(s)):
    if c != '?':
        continue
    if first_time:
        for j in range(10):
            n = j * pow(10, i, 13) % 13
            before[n] += 1
        first_time = False
        continue
    current = [0] * 13
    for j in range(10):
        n = j * pow(10, i, 13) % 13
        current[n] += 1
    after = [0] * 13
    for j in range(13):
        for k in range(13):
            after[j] += before[k] * current[(13 - k + j) % 13]
        after[j] %= MOD
    before = after

if first_time:
    if cnt % 13 == 5:
        print(1)
    else:
        print(0)
else:
    print(before[(5 - (cnt % 13)) % 13])