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

Fixed submission:
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])

Fixed submission:
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()[::-1]
MOD = 10**9+7
dp = [0,]*13
dp[0] = 1
for i, s in enumerate(S):
    nx = [0,]*13
    p = (10**i)%13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
print(dp[5])

Fixed submission:
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
MOD = 10**9+7
dp = [0,]*13
next_dp = [0,]*13
dp[0] = 1
for i, s in enumerate(reversed(S)):
    for j, d in enumerate(dp):
        if s == '?':
            for k in range(10):
                next_dp[(j+k*(10**i))%13] += d
        else:
            next_dp[(j+int(s)*(10**i))%13] += d
    for j, d in enumerate(next_dp):
        next_dp[j] = d % MOD
    dp = next_dp
    next_dp = [0,]*13
print(dp[5])

Fixed submission:
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])

Buggy python submission (verdict: Runtime Error):
S = input()
list_s = list(reversed(list(S)))
small_s = int(S.replace('?', '0'))
L = 0
t = []
for i, s in enumerate(list_s):
    if s == '?':
        L += 1
        t.append(i)

count = 0
d = small_s % 13
for l in range(10**L):
    list_l = list(reversed(list(str(l))))
    temp = d
    for i, a in enumerate(list_l):
        temp += int(a)*(10**t[i])
    if temp % 13 == 5:
        count += 1
print(count)



Fixed submission:
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])

Buggy python submission (verdict: Runtime Error):
S = input()
list_s = list(reversed(list(S)))
small_s = int(S.replace('?', '0'))
L = 0
t = []
for i, s in enumerate(list_s):
    if s == '?':
        L += 1
        t.append(i)

count = 0
d = small_s % 13
for l in range(10**L):
    list_l = list(reversed(list(str(l))))
    temp = d
    for i, a in enumerate(list_l):
        temp += int(a)*(10**t[i])
    if temp % 13 == 5:
        count += 1
print(count)

Fixed submission:
S = input()[::-1]
MOD = 10**9+7
dp = [1,0,0,0,0,0,0,0,0,0,0,0,0]
p = 1
for i, s in enumerate(S):
    nx = [0,]*13
    if s == '?':
        for k in range(10):
            q = (k*p)%13
            for j, d in enumerate(dp):
                nx[(j+q)%13] += d
    else:
        q = (int(s)*p)%13
        for j, d in enumerate(dp):
            nx[(j+q)%13] += d
    dp = [n % MOD for n in nx]
    p = (10*p)%13
print(dp[5])