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

    mod = 10**9+7
    N = len(S)
    ans = 0

    memo = {}
    for i in range(1000):
        s = str(i).zfill(3)
        memo[s] = [0 for _ in [0]*13]
        memo[s][i%13] = 1

    def rep_Q_count(s):
        memo[s] = [0 for _ in [0]*13]
        for q in range(10):
            s2 = s.replace("?",str(q),1)
            for i,n in enumerate(memo[s2]):
                memo[s][i] += n

    for i in range(100):
        s = str(i).zfill(2)
        rep_Q_count(s+"?")
        rep_Q_count(s[0]+"?"+s[1])
        rep_Q_count("?"+s)
    for i in range(10):
        s = str(i)
        rep_Q_count(s+"??")
        rep_Q_count("?"+s+"?")
        rep_Q_count("??"+s)
    rep_Q_count("???")

    s0 = S[max(0,N-3):N].zfill(3)
    dp = memo[s0][:]
    for i in range(1,(N-1)//3+1):
        s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
        j = i%2
        tmp = memo[s]
        dp2 = [0]*13
        for k,n in enumerate(tmp):
            for l,m in enumerate(dp):
                dp2[(l+k*((-1)**j))%13] += n*m
        dp = dp2
        for i in range(13):
            dp[i] %= mod
    print(dp[5])
main()

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

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

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    S = input()
    mod = 10**9+7
    N = len(S)

    s = S[-1]
    dp = [0]*13
    if s=="?":
        dp[:10] = [1]*10
    else:
        dp[int(s)] = 1

    dig = 1
    for c,s in enumerate(S[:-1][::-1],1):
        dig = dig*10%13
        dp2 = [0]*13
        if s=="?":
            for i in range(10):
                for j,n in enumerate(dp):
                    dp2[(i*dig+j)%13] += n
        else:
            i = int(s)
            for j,n in enumerate(dp):
                dp2[(i*dig+j)%13] += n
        dp = [n%mod for n in dp2]
    print(dp[5])
main()

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

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

mod = 10**9+7
N = len(S)

s = S[-1]
dp = [0]*13
if s=="?":
    dp[:10] = [1]*10
else:
    dp[int(s)] = 1

dig = 1
for c,s in enumerate(S[:-1][::-1],1):
    dig = dig*10%13
    dp2 = [0]*13
    if s=="?":
        for i in range(10):
            for j,n in enumerate(dp):
                dp2[(i*dig+j)%13] += n
    else:
        i = int(s)
        for j,n in enumerate(dp):
            dp2[(i*dig+j)%13] += n
    dp = [n%mod for n in dp2]
print(dp[5])

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

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

mod = 10**9+7
N = len(S)

s = S[-1]
dp = [0]*13
if s=="?":
    dp[:10] = [1]*10
else:
    dp[int(s)] = 1

for c,s in enumerate(S[:-1][::-1],1):
    dp2 = [0]*13
    if s=="?":
        for i in range(10):
            for j,n in enumerate(dp):
                dp2[(i*(10**c)+j)%13] += n
    else:
        i = int(s)
        for j,n in enumerate(dp):
            dp2[(i*(10**c)+j)%13] += n
    dp = [n%mod for n in dp2]
print(dp[5])

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

Buggy python submission (verdict: Runtime Error):
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[N-3:N]
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

Buggy python submission (verdict: Runtime Error):
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[N-3:N]
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3]
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])

Fixed submission:
S = input()

mod = 10**9+7
N = len(S)
ans = 0

memo = {}
for i in range(1000):
    s = str(i).zfill(3)
    memo[s] = [0 for _ in [0]*13]
    memo[s][i%13] = 1

def rep_Q_count(s):
    memo[s] = [0 for _ in [0]*13]
    for q in range(10):
        s2 = s.replace("?",str(q),1)
        for i,n in enumerate(memo[s2]):
            memo[s][i] += n

for i in range(100):
    s = str(i).zfill(2)
    rep_Q_count(s+"?")
    rep_Q_count(s[0]+"?"+s[1])
    rep_Q_count("?"+s)
for i in range(10):
    s = str(i)
    rep_Q_count(s+"??")
    rep_Q_count("?"+s+"?")
    rep_Q_count("??"+s)
rep_Q_count("???")

s0 = S[max(0,N-3):N].zfill(3)
dp = memo[s0][:]
for i in range(1,(N-1)//3+1):
    s = S[max(0,N-(i+1)*3):N-i*3].zfill(3)
    j = i%2
    tmp = memo[s]
    dp2 = [0]*13
    for k,n in enumerate(tmp):
        for l,m in enumerate(dp):
            dp2[(l+k*((-1)**j))%13] += n*m
    dp = dp2
    for i in range(13):
        dp[i] %= mod
print(dp[5])