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

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

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
l=len(s)
mod=10**9+7
dp=[[0 for j in range(13)] for i in range(l+1)]
dp[0][0]=1 #初期値の設定
for i in range(l):
 if s[i]=='?': #?のときは各値(0～9)について更新する
   for j in range(10):
     for k in range(13):
       dp[i+1][(k*10+j)%13]+=dp[i][k]%mod
 else:
   for k in range(13): #整数のときはその値について更新する
     dp[i+1][(k*10+int(s[i]))%13]+=dp[i][k]%mod
print(dp[-1][5]%mod) #最後まで更新を行ったときのあまりが5となる数の個数が答え

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

Buggy python submission (verdict: Time Limit Exceeded):
S = input()

dp = [[0 for j in range(13)] for i in range(len(S)+1)]
dp[0][0] = 1
M = 10**9+7

for i in range(len(S)):
    if S[i] == "?":
        for k in range(10):
            for j in range(13):
                dp[i+1][(k+j*10)%13] += (dp[i][j]%M)
    else:
        for j in range(13):
            dp[i+1][(int(S[i])+j*10)%13] += (dp[i][j]%M)

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

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

Buggy python submission (verdict: Time Limit Exceeded):
S = input()

dp = [[0 for j in range(13)] for i in range(len(S)+1)]
dp[0][0] = 1
M = 10**9+7

for i in range(len(S)):
    if S[-i-1] == "?":
        for k in range(10):
            r = k*10**i
            for j in range(13):
                dp[i+1][(r+j)%13] += dp[i][j]
    else:
        r = int(S[-i-1])*10**i
        for j in range(13):
            dp[i+1][(r+j)%13] += dp[i][j]

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

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

Buggy python submission (verdict: Time Limit Exceeded):
S = input()

dp = [[0 for j in range(13)] for i in range(len(S)+1)]
dp[0][0] = 1
M = 10**9+7

for i in range(len(S)):
    if S[-i-1] == "?":
        for k in range(10):
            r = (k*10**i)%13
            for j in range(13):
                dp[i+1][(r+j)%13] += (dp[i][j]%M)
    else:
        r = (int(S[-i-1])*10**i)%13
        for j in range(13):
            dp[i+1][(r+j)%13] += (dp[i][j]%M)

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

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

Buggy python submission (verdict: Time Limit Exceeded):
S = input()

dp = [[0 for j in range(13)] for i in range(len(S)+1)]
dp[0][0] = 1

for i in range(len(S)):
    if S[-i-1] == "?":
        for k in range(10):
            r = (k*10**i)%13
            for j in range(13):
                dp[i+1][(r+j)%13] += dp[i][j]
    else:
        r = (int(S[-i-1])*10**i)%13
        for j in range(13):
            dp[i+1][(r+j)%13] += dp[i][j]

ans = dp[-1][5] % (10**9+7)
print(ans)

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