Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
def rem():
  mod=10**9+7
  s=input()
  dp=np.zeros((len(s)+1,13),dtype=int)
  dp[0][0]=1
  r=[i%13 for i in range(130)]

  for i in range(len(s)):
    if s[i]=='?':
      for j in range(13):
        for k in range(10):
          dp[i+1][r[j*10+k]]+=dp[i][j]
    else:
      t = int(s[i])
      for j in range(13):
        dp[i+1][r[j*10+t]] += dp[i][j]

    for k in range(13):
      dp[i+1][k] %= mod

  print(dp[len(s)][5])

rem()

Fixed submission:
mod=10**9+7
s=input()
dp=[[0]*13 for _ in range(len(s)+1)]
dp[0][0]=1
r=[i%13 for i in range(130)]

for i in range(len(s)):
  if s[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i+1][r[j*10+k]]+=dp[i][j]
  else:
    t = int(s[i])
    for j in range(13):
      dp[i+1][r[j*10+t]] += dp[i][j]

  for k in range(13):
    dp[i+1][k] %= mod

print(dp[len(s)][5])

Buggy python submission (verdict: Time Limit Exceeded):
def rem():
  mod=10**9+7
  s=input()
  dp=[[0]*13 for _ in range(len(s)+1)]
  dp[0][0]=1
  r=[i%13 for i in range(130)]

  for i in range(len(s)):
    if s[i]=='?':
      for j in range(13):
        for k in range(10):
          dp[i+1][r[j*10+k]]+=dp[i][j]
    else:
      t = int(s[i])
      for j in range(13):
        dp[i+1][r[j*10+t]] += dp[i][j]

    for k in range(13):
      dp[i+1][k] %= mod

  print(dp[len(s)][5])

rem()

Fixed submission:
mod=10**9+7
s=input()
dp=[[0]*13 for _ in range(len(s)+1)]
dp[0][0]=1
r=[i%13 for i in range(130)]

for i in range(len(s)):
  if s[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i+1][r[j*10+k]]+=dp[i][j]
  else:
    t = int(s[i])
    for j in range(13):
      dp[i+1][r[j*10+t]] += dp[i][j]

  for k in range(13):
    dp[i+1][k] %= mod

print(dp[len(s)][5])

Buggy python submission (verdict: Time Limit Exceeded):
M=10**9+7
s=input()
dp=[[0 for i in range(13)] for j in range(len(s)+1)]
dp[0][0]=1
for i in range(1,len(s)+1):
  r=[0 for _ in range(13)]
  if s[-i]=='?':
    for j in range(10):
      t=j*(10**(i-1))
      r[t%13]=1
    for k in range(13):
      for l in range(13):
        dp[i][(k+l)%13]+=dp[i-1][k]*r[l]
  else:
    t=int(s[-i])*(10**(i-1))
    r[t%13]=1
    for k in range(13):
      for l in range(13):
        dp[i][(k+l)%13]+=dp[i-1][k]*r[l]
 
print(dp[-1][5]%M)

Fixed submission:
mod=10**9+7
s=input()
dp=[[0]*13 for _ in range(len(s)+1)]
dp[0][0]=1
r=[i%13 for i in range(130)]

for i in range(len(s)):
  if s[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i+1][r[j*10+k]]+=dp[i][j]
  else:
    t = int(s[i])
    for j in range(13):
      dp[i+1][r[j*10+t]] += dp[i][j]

  for k in range(13):
    dp[i+1][k] %= mod

print(dp[len(s)][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
r=[i%13 for i in range(130)]

for i in range(len(s)):
  if s[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i+1][r[j*10+k]]+=dp[i][j]
  else:
    t = int(s[i])
    for j in range(13):
      dp[i+1][r[j*10+t]] += dp[i][j]

  for k in range(13):
    dp[i+1][k] %= mod

print(dp[len(s)][5])

Fixed submission:
mod=10**9+7
s=input()
dp=[[0]*13 for _ in range(len(s)+1)]
dp[0][0]=1
r=[i%13 for i in range(130)]

for i in range(len(s)):
  if s[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i+1][r[j*10+k]]+=dp[i][j]
  else:
    t = int(s[i])
    for j in range(13):
      dp[i+1][r[j*10+t]] += dp[i][j]

  for k in range(13):
    dp[i+1][k] %= mod

print(dp[len(s)][5])

Buggy python submission (verdict: Time Limit Exceeded):
M=10**9+7
s=input()
dp=[[0 for i in range(13)] for j in range(len(s)+1)]
dp[0][0]=1
for i in range(1,len(s)+1):
  r=[0 for _ in range(13)]
  if s[-i]=='?':
    for j in range(10):
      t=j*(10**(i-1))
      r[t%13]=1
    for k in range(13):
      for l in range(13):
        dp[i][(k+l)%13]+=dp[i-1][k]*r[l]
  else:
    t=int(s[-i])*(10**(i-1))
    r[t%13]=1
    for k in range(13):
      for l in range(13):
        dp[i][(k+l)%13]+=dp[i-1][k]*r[l]

print(dp[-1][5]%M)

Fixed submission:
mod=10**9+7
s=input()
dp=[[0]*13 for _ in range(len(s)+1)]
dp[0][0]=1
r=[i%13 for i in range(130)]

for i in range(len(s)):
  if s[i]=='?':
    for j in range(13):
      for k in range(10):
        dp[i+1][r[j*10+k]]+=dp[i][j]
  else:
    t = int(s[i])
    for j in range(13):
      dp[i+1][r[j*10+t]] += dp[i][j]

  for k in range(13):
    dp[i+1][k] %= mod

print(dp[len(s)][5])