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(l):
    if s[i]=='?':
        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):
            dp[i+1][(k*10+int(s[i]))%13]+=dp[i][k]%mod
print(dp[-1][5]%mod)

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

Buggy python submission (verdict: Runtime Error):
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)
dp = [[0] * 13 for _ in range(l+1)]
dp[0][0] = 1
MOD = 10 ** 9 + 7
mul = 1
for i in range(l):
    if S[-(i+1)] == '?':
        for j in range(10):
            for k in range(13):
                dp[i+1][(j * mul + k) % 13] += dp[i][k]
                dp[i+1][(j * mul + k) % 13] %= MOD
    else:
        j = int(S[-(i+1)])
        for k in range(13):
            dp[i+1][(j * mul + k) % 13] += dp[i][k]
            dp[i+1][(j * mul + k) % 13] %= MOD
    mul = mul * 10 % 13
print(dp[l][5])

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

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

Buggy python submission (verdict: Runtime Error):
S = input()
L = len(input())
dp = [[0 for _ in range(13)] for _ in range(L+1)]
dp[0][0] = 1
MOD = 10 ** 9 + 7
for i in range(L):
  if S[i] == '?':
    for j in range(10):
      for k in range(13):
        dp[i][(k*10+j)%13] += dp[i][j]
  else:
    for k in range(13):
      dp[i][(k*10+int(i))%13] += dp[i][j]
print(dp[L][5]

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

Buggy python submission (verdict: Runtime Error):
S = input()
L = len(input())
dp = [[0] * 13 for _ in range(L+1)]
dp[0][0] = 1
MOD = 10 ** 9 + 7
for i in range(L):
  if S[i] == '?':
    for j in range(10):
      for k in range(13):
        dp[i][(k*10+j)%13] += dp[i][j]
  else:
    for k in range(13):
      dp[i][(k*10+int(i))%13] += dp[i][j]
print(dp[L][5]

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