Buggy python submission (verdict: Time Limit Exceeded):
S = input()
MOD = 10**9+7

S = S[::-1]
dp = [0]*13
for i,s in enumerate(S):
    new = [0]*13
    if i == 0:
        if s == "?":
            for j in range(10):
                dp[j] = 1
        else:
            s = int(s)
            dp[s%13] = 1
    else:
        if s == "?":
            for j in range(10):
                m = (j*(10**i))%13
                for k in range(13):
                    new[k] += dp[k-m]
            for l in range(13):
                dp[l] = new[l]%MOD
        else:
            s = int(s)
            m = (s*(10**i))%13
            for j in range(13):
                new[j] = dp[j-m]
            dp = new
print(dp[5])

Fixed submission:
S = input()
MOD = 10**9+7

dp = [0]*13
dp[0] = 1

for s in S:
    prev = [x for x in dp]
    dp = [0]*13
    if s == "?":
        r = range(10)
    else:
        r = [int(s)]
    for i in range(13):
        for x in r:
            dp[(10*i+x)%13] += prev[i]
    dp = [x % MOD for x in dp]
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
MOD = 10**9+7

S = S[::-1]
static = 0
strg = ""
for i,s in enumerate(S):
    if s != "?":
        s = int(s)
        static += s*(10**i)
        strg += "0"
    else:
        strg += "?"
mod = static%13

dp = [0]*13
dp[mod] = 1
for i,s in enumerate(strg):
    new = [0]*13
    if s == "?":
        for j in range(10):
            m = (j*(10**i))%13
            for k in range(13):
                new[k] += dp[k-m]
        for j in range(13):
            dp[j] = new[j]%MOD
print(dp[5]) 

Fixed submission:
S = input()
MOD = 10**9+7

dp = [0]*13
dp[0] = 1

for s in S:
    prev = [x for x in dp]
    dp = [0]*13
    if s == "?":
        r = range(10)
    else:
        r = [int(s)]
    for i in range(13):
        for x in r:
            dp[(10*i+x)%13] += prev[i]
    dp = [x % MOD for x in dp]
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
MOD = 10**9+7

S = S[::-1]
static = 0
strg = ""
for i,s in enumerate(S):
    if s != "?":
        s = int(s)
        static += s*(10**i)
        strg += "0"
    else:
        strg += "?"
mod = static%13

dp = [0]*13
dp[mod] = 1
for i,s in enumerate(strg):
    new = [0]*13
    if s == "?":
        for j in range(10):
            m = (j*(10**i))%13
            for k in range(13):
                new[k] += dp[k-m]
        for j in range(13):
            dp[j] = new[j]%MOD
print(dp[5]) 

Fixed submission:
S = input()
MOD = 10**9+7

dp = [0]*13
dp[0] = 1

for s in S:
    prev = [x for x in dp]
    dp = [0]*13
    if s == "?":
        r = range(10)
    else:
        r = [int(s)]
    for i in range(13):
        for x in r:
            dp[(10*i+x)%13] += prev[i]
    dp = [x % MOD for x in dp]
print(dp[5])

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
MOD = 10**9+7

S = S[::-1]
static = 0
strg = ""
for i,s in enumerate(S):
    if s != "?":
        s = int(s)
        static += s*(10**i)
        strg += "0"
    else:
        strg += "?"
mod = static%13

dp = [0]*13
dp[mod] = 1
for i,s in enumerate(strg):
    new = [0]*13
    if s == "?":
        for j in range(10):
            m = (j*(10**i))%13
            for k in range(13):
                new[k] += dp[k-m]
                new[k] %= MOD
        dp = new
print(dp[5])

Fixed submission:
S = input()
MOD = 10**9+7

dp = [0]*13
dp[0] = 1

for s in S:
    prev = [x for x in dp]
    dp = [0]*13
    if s == "?":
        r = range(10)
    else:
        r = [int(s)]
    for i in range(13):
        for x in r:
            dp[(10*i+x)%13] += prev[i]
    dp = [x % MOD for x in dp]
print(dp[5])