Buggy python submission (verdict: Runtime Error):
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=p_dp.copy()
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  main()


Fixed submission:
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=[k for k in p_dp]
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  #import datetime
  #print(datetime.datetime.now())
  main()
  #print(datetime.datetime.now())

Buggy python submission (verdict: Time Limit Exceeded):
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=p_dp.copy()
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  #import datetime
  #print(datetime.datetime.now())
  main()
  #print(datetime.datetime.now())


Fixed submission:
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=[k for k in p_dp]
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  #import datetime
  #print(datetime.datetime.now())
  main()
  #print(datetime.datetime.now())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
s=list(input())
n=len(s)
dp=np.zeros((n+1,13),np.int64)
mod=pow(10,9)+7
if s[-1]=='?':
  dp[1][:10]=1
else:
  dp[1][int(s[-1])]=1
for i in range(2,n+1):
  if s[-i]=='?':
    for j in range(10):
      a=(j*pow(10,i-1,13))%13
      if a==0:
        dp[i]+=dp[i-1]
      else:
        dp[i][a:]+=dp[i-1][:-a]
        dp[i][:a]+=dp[i-1][-a:]
  else:
    j=int(s[-i])
    a=(j*pow(10,i-1,13))%13
    if a==0:
      dp[i]+=dp[i-1]
    else:
      dp[i][a:]+=dp[i-1][:-a]
      dp[i][:a]+=dp[i-1][-a:]
  dp[i]%=mod
print(dp[n][5])
#print(dp)

Fixed submission:
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=[k for k in p_dp]
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  #import datetime
  #print(datetime.datetime.now())
  main()
  #print(datetime.datetime.now())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
s=list(input())
n=len(s)
dp=np.zeros((n+1,13),np.int64)
mod=pow(10,9)+7
if s[-1]=='?':
  dp[1][:10]=1
else:
  dp[1][int(s[-1])]=1
for i in range(2,n+1):
  if s[-i]=='?':
    for j in range(10):
      if (j*pow(10,i-1))%13==0:
        dp[i]+=dp[i-1]
      else:
        dp[i][(j*pow(10,i-1))%13:]+=dp[i-1][:-(j*pow(10,i-1))%13]
        dp[i][:(j*pow(10,i-1))%13]+=dp[i-1][-(j*pow(10,i-1))%13:]
  else:
    j=int(s[-i])
    if (j*pow(10,i-1))%13==0:
      dp[i]+=dp[i-1]
    else:
      dp[i][(j*pow(10,i-1))%13:]+=dp[i-1][:-(j*pow(10,i-1))%13]
      dp[i][:(j*pow(10,i-1))%13]+=dp[i-1][-(j*pow(10,i-1))%13:]
  dp[i]%=mod
print(dp[n][5])
#print(dp)

Fixed submission:
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=[k for k in p_dp]
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  #import datetime
  #print(datetime.datetime.now())
  main()
  #print(datetime.datetime.now())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
s=list(input())
n=len(s)
dp_now=np.zeros(13,np.int64)
dp_pre=np.zeros(13,np.int64)
mod=pow(10,9)+7
if s[-1]=='?':
  dp_pre[:10]=1
else:
  dp_pre[int(s[-1])]=1
for i in range(2,n+1):
  dp_now=np.zeros(13,np.int64)
  if s[-i]=='?':
    for j in range(10):
      if (j*pow(10,i-1))%13==0:
        dp_now+=dp_pre
      else:
        dp_now[(j*pow(10,i-1))%13:]+=dp_pre[:-(j*pow(10,i-1))%13]
        dp_now[:(j*pow(10,i-1))%13]+=dp_pre[-(j*pow(10,i-1))%13:]
  else:
    j=int(s[-i])
    if (j*pow(10,i-1))%13==0:
      dp_now+=dp_pre
    else:
      dp_now[(j*pow(10,i-1))%13:]+=dp_pre[:-(j*pow(10,i-1))%13]
      dp_now[:(j*pow(10,i-1))%13]+=dp_pre[-(j*pow(10,i-1))%13:]
  dp_now%=mod
  dp_pre=dp_now.copy()
print(dp_pre[5])


Fixed submission:
def main():
  s=list(input())
  n=len(s)
  dp=[0]*13
  mod=pow(10,9)+7
  if s[-1]=='?':
    dp=[1]*10+[0]*3
  else:
    dp[int(s[-1])]=1
  p_dp=[0]*13
  for i in range(2,n+1):
    if s[-i]=='?':
      for j in range(10):
        a=(j*pow(10,i-1,13))%13
        for k in range(13):
          p_dp[(a+k)%13]+=dp[k]
    else:
      j=int(s[-i])
      a=(j*pow(10,i-1,13))%13
      for k in range(13):
        p_dp[(a+k)%13]+=dp[k]
    
    for k in range(13):
      p_dp[k]%=mod
    dp=[k for k in p_dp]
    p_dp=[0]*13
  print(dp[5])

if __name__=='__main__':
  #import datetime
  #print(datetime.datetime.now())
  main()
  #print(datetime.datetime.now())