Buggy python submission (verdict: Time Limit Exceeded):
s = input()
mod = 10**9 + 7
n = len(s)
dp = [[0] * 13 for _ in range(n+1)]
dp[0][0] = 1

for i in range(n):
    if s[i] != "?":
        for j in range(13):
            dp[i+1][(10 * j + int(s[i])) % 13] += dp[i][j]

    else:
        for j in range(13):
            for k in range(10):
                dp[i+1][(10 * j+k) % 13] += dp[i][j]
                dp[i+1][(10 * j+k) % 13] %= mod


print(dp[n][5])

Fixed submission:
s = input()
mod = 10**9 + 7

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        for k in range(10):
            x = (10 * j + k) % 13
            if v != "?":
                if int(v) == k:
                    dp[i + 1][x] += dp[i][j]
                    dp[i + 1][x] %= mod
                else:
                    dp[i + 1][x] += 0
            else:
                dp[i + 1][x] += dp[i][j]
                dp[i + 1][x] %= mod

print(dp[-1][5])

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

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        if v != "?":
            dp[i + 1][(10 * j + int(v)) % 13] += dp[i][j]
            dp[i + 1][(10 * j + int(v)) % 13] %= mod
            continue
        for k in range(10):
            x = (10 * j + k) % 13
            dp[i + 1][x] += dp[i][j]
            dp[i + 1][x] %= mod

print(dp[-1][5])


Fixed submission:
s = input()
mod = 10**9 + 7

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        for k in range(10):
            x = (10 * j + k) % 13
            if v != "?":
                if int(v) == k:
                    dp[i + 1][x] += dp[i][j]
                    dp[i + 1][x] %= mod
                else:
                    dp[i + 1][x] += 0
            else:
                dp[i + 1][x] += dp[i][j]
                dp[i + 1][x] %= mod

print(dp[-1][5])

Buggy python submission (verdict: Runtime Error):
s = input()
mod = 10**9 + 7

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        if v != "?":
            dp[i + 1][(10 * j + int(v))] += dp[i][j]
            dp[i + 1][(10 * j + int(v))] %= mod
            continue
        for k in range(10):
            x = (10 * j + k) % 13
            dp[i + 1][x] %= mod

print(dp[-1][5])

Fixed submission:
s = input()
mod = 10**9 + 7

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        for k in range(10):
            x = (10 * j + k) % 13
            if v != "?":
                if int(v) == k:
                    dp[i + 1][x] += dp[i][j]
                    dp[i + 1][x] %= mod
                else:
                    dp[i + 1][x] += 0
            else:
                dp[i + 1][x] += dp[i][j]
                dp[i + 1][x] %= mod

print(dp[-1][5])

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

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        for k in range(10):
            x = (10 * j + k) % 13
            if v != "?":
                if int(v) == k:
                    dp[i + 1][x] += dp[i][j]
                    dp[i + 1][x] %= mod
                else:
                    dp[i + 1][x] += 0
            else:
                dp[i + 1][x] += dp[i][j]
                dp[i + 1][x] %= mod

print(dp[-1][5])

Fixed submission:
s = input()
mod = 10**9 + 7

dp = [[0] * 13 for _ in range(len(s)+1)]
for i in range(10):
    if s[0] == "?":
        dp[1][i] += 1
    else:
        dp[1][int(s[0])] = 1
        break

for i, v in enumerate(s):
    if i == 0:
        continue
    for j in range(13):
        for k in range(10):
            x = (10 * j + k) % 13
            if v != "?":
                if int(v) == k:
                    dp[i + 1][x] += dp[i][j]
                    dp[i + 1][x] %= mod
                else:
                    dp[i + 1][x] += 0
            else:
                dp[i + 1][x] += dp[i][j]
                dp[i + 1][x] %= mod

print(dp[-1][5])