Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
dp = [[0]*13 for i in range(N+1)]

mod = 10**9 + 7
dp[0][0] = 1
for i, x in enumerate(S):
    for j in range(13):
        if x != '?':
            x = int(x)
            k = j*10 + x
            dp[i+1][k % 13] += dp[i][j]
            dp[i+1][k % 13] %= mod
        else:
            for k in range(10):
                dp[i+1][(j*10+k) % 13] += dp[i][j]
                dp[i+1][(j*10+k) % 13] %= mod
print(dp[-1][5])


Fixed submission:
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
          dp[i][(j*10+k)%13]%=mod
      else:
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
        dp[i][(j*10+int(S[i-1]))%13]%=mod
print(dp[N][5])

Buggy python submission (verdict: Time Limit Exceeded):
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
      else:
        
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
print(dp[N][5]%mod)


        


Fixed submission:
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
          dp[i][(j*10+k)%13]%=mod
      else:
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
        dp[i][(j*10+int(S[i-1]))%13]%=mod
print(dp[N][5])

Buggy python submission (verdict: Time Limit Exceeded):
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
          dp[i][(j*10+k)%13]%=mod
      else:
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
        dp[i][(j*10+int(S[i-1]))%13]%=mod
print(dp[N][5])


         
        
      
    


Fixed submission:
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
          dp[i][(j*10+k)%13]%=mod
      else:
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
        dp[i][(j*10+int(S[i-1]))%13]%=mod
print(dp[N][5])

Buggy python submission (verdict: Time Limit Exceeded):
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
      else:
        
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
print(dp[N][5]%mod)


        

Fixed submission:
S=list(input())
N=len(S)
dp=[[0]*13 for i in range(N+1)]
dp[0][0]=1
mod=10**9+7
for i in range(1,N+1):
  for j in range(13):
    if dp[i-1][j]>0:
      if S[i-1]=="?":
        for k in range(10):
          dp[i][(j*10+k)%13]+=dp[i-1][j]
          dp[i][(j*10+k)%13]%=mod
      else:
        dp[i][(j*10+int(S[i-1]))%13]+=dp[i-1][j]
        dp[i][(j*10+int(S[i-1]))%13]%=mod
print(dp[N][5])