Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = ''.join(reversed(input().strip()))

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
list10 = list(range(10))
list13 = list(range(13))
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for i in range(len(S)):
    s = S[i]
    if s == '?':
        for d in list10:
            m = mod13_list[(d * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] += dp_[pm]

    else:
        si = int(s)
        m = mod13_list[(si * mul)]
        for pm in list13:
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for j in list13:
        dp_[j] = dp[j] % divisor
        dp[j] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5])

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = ''.join(reversed(input().strip()))

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
list10 = list(range(10))
list13 = list(range(13))
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for s in S:
    if s == '?':
        for d in list10:
            m = mod13_list[(d * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] += dp_[pm]

    else:
        si = int(s)
        m = mod13_list[(si * mul)]
        for pm in list13:
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in list13:
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5])

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = reversed(input().strip())

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
list10 = list(range(10))
list13 = list(range(13))
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for s in S:
    if s == '?':
        for d in list10:
            m = mod13_list[(d * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] += dp_[pm]

    else:
        si = int(s)
        m = mod13_list[(si * mul)]
        for pm in list13:
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in list13:
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5])

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = reversed(input().strip())

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
range10 = range(10)
range13 = range(13)
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for s in S:
    if s == '?':
        for d in range10:
            m = mod13_list[(d * mul)]
            for pm in range13:
                dp[mod13_list[(pm+m)]] += dp_[pm]

    else:
        si = int(s)
        m = mod13_list[(si * mul)]
        for pm in range13:
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in range13:
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5])

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = reversed(input().strip())

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for s in S:
    if s == '?':
        for d in range(10):
            m = mod13_list[(d * mul)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] += dp_[pm]

    else:
        si = int(s)
        m = mod13_list[(si * mul)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in range(13):
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5])

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = list(reversed(input().strip()))
N = len(S)

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for s in S:
    if s == '?':
        for d in range(10):
            m = mod13_list[(d * mul)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = dp[mod13_list[(pm+m)]] + dp_[pm]

    else:
        si = int(s)
        m = mod13_list[(si * mul)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in range(13):
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5] % divisor)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in reversed(input().strip())]
N = len(S)

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for i, s in enumerate(S, start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mul)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = dp[mod13_list[(pm+m)]] + dp_[pm]

    else:
        m = mod13_list[(s * mul)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in range(13):
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5] % divisor)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
# import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

# dp = np.zeros((13), dtype=int)
# dp_ = np.zeros((13), dtype=int)
dp = [0] * 13
dp_ = [0] * 13
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mul)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = dp[mod13_list[(pm+m)]] + dp_[pm]

    else:
        m = mod13_list[(s * mul)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = dp_[pm]

    # dp_ = dp % divisor
    # dp = dp * 0 # np.zeros((13), dtype=int)
    for i in range(13):
        dp_[i] = dp[i] % divisor
        dp[i] = 0
    mul = mod13_list[(mul * 10)]
print(dp_[5] % divisor)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = np.zeros((13), dtype=int)
dp_ = np.zeros((13), dtype=int)
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mul = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mul)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = dp[mod13_list[(pm+m)]] + dp_[pm]

    else:
        m = mod13_list[(s * mul)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = dp_[pm]
    dp_ = dp % divisor
    dp = dp * 0 # np.zeros((13), dtype=int)
    mul = mod13_list[(mul * 10)]
print(dp_[5] % divisor)

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = np.zeros((13), dtype=int)
dp_ = np.zeros((13), dtype=int)
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mod)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = dp[mod13_list[(pm+m)]] + dp_[pm]

    else:
        m = mod13_list[(s * mod)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = dp[mod13_list[(pm+m)]] + dp_[pm]
    dp_ = dp % divisor
    dp = dp * 0 # np.zeros((13), dtype=int)
    mod = mod13_list[(mod * 10)]
print(dp_[5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = np.zeros((13), dtype=int)
dp_ = np.zeros((13), dtype=int)
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
divisor = 10 ** 9 + 7
dp_[0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mod)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = (dp[mod13_list[(pm+m)]] + dp_[pm]) % (10 ** 9 + 7)

    else:
        m = mod13_list[(s * mod)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = (dp[mod13_list[(pm+m)]] + dp_[pm]) % (10 ** 9 + 7)
    dp_ = dp % divisor
    dp = dp * 0 # np.zeros((13), dtype=int)
    mod = mod13_list[(mod * 10)]
print(dp_[5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = np.zeros((13), dtype=int)
dp_ = np.zeros((13), dtype=int)
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
# divisor = 10 ** 9 + 7
dp_[0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mod)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = (dp[mod13_list[(pm+m)]] + dp_[pm]) % (10 ** 9 + 7)

    else:
        m = mod13_list[(s * mod)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = (dp[mod13_list[(pm+m)]] + dp_[pm]) % (10 ** 9 + 7)
    dp_ = dp % (10 ** 9 + 7)
    dp = dp * 0 # np.zeros((13), dtype=int)
    mod = mod13_list[(mod * 10)]
print(dp_[5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = np.zeros((13), dtype=int)
dp_ = np.zeros((13), dtype=int)
mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
dp_[0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = mod13_list[(d * mod)]
            for pm in range(13):
                dp[mod13_list[(pm+m)]] = (dp[mod13_list[(pm+m)]] + dp_[pm]) % (10 ** 9 + 7)

    else:
        m = mod13_list[(s * mod)]
        for pm in range(13):
            dp[mod13_list[(pm+m)]] = (dp[mod13_list[(pm+m)]] + dp_[pm]) % (10 ** 9 + 7)
    dp_ = dp
    dp = dp * 0 # np.zeros((13), dtype=int)
    mod = mod13_list[(mod * 10)]
print(dp_[5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = np.zeros((13), dtype=int)
dp_ = np.zeros((13), dtype=int)
dp_[0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    if s == -1:
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[(pm+m)%13] = (dp[(pm+m)%13] + dp_[pm]) % (10 ** 9 + 7)

    else:
        m = (s * mod) % 13
        for pm in range(13):
            dp[(pm+m)%13] = (dp[(pm+m)%13] + dp_[pm]) % (10 ** 9 + 7)
    dp_ = dp
    dp = dp * 0 # np.zeros((13), dtype=int)
    mod = (mod * 10) % 13
print(dp_[5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
import numpy as np
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp_ = np.zeros((13), dtype=int)
dp_[0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    dp = np.zeros((13), dtype=int)
    if s == -1:
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[(pm+m)%13] = (dp[(pm+m)%13] + dp_[pm]) % (10 ** 9 + 7)

    else:
        m = (s * mod) % 13
        for pm in range(13):
            dp[(pm+m)%13] = (dp[(pm+m)%13] + dp_[pm]) % (10 ** 9 + 7)
    dp_ = dp
    mod = (mod * 10) % 13
print(dp_[5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = [int(x) if x != '?' else -1 for x in input().strip()]
N = len(S)

dp = [[0] * 13 for _ in range(2)]
dp[0][0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    n = i % 2
    if s == -1:
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]

    else:
        m = (s * mod) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]
    dp[n-1] = [0] * 13
    mod = (mod * 10) % 13
print(dp[N%2][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = input().strip()
N = len(S)

dp = [[0] * 13 for _ in range(2)]
dp[0][0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    n = i % 2
    if s == '?':
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]

    else:
        m = (int(s) * mod) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]
    dp[n-1] = [0] * 13
    mod = (mod * 10) % 13
print(dp[N%2][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = input().strip()
N = len(S)

dp = [[0] * 13 for _ in range(2)]
dp[0][0] = 1
mod = 1
for i, s in enumerate(S[::-1], start=1):
    n = i % 2
    if s == '?':
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]

    else:
        m = (int(s) * mod) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]
    dp[n-1] = [0] * 13
    mod = (mod * 10) % 13
print(dp[N%2][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = input().strip()
N = len(S)

dp = [[0] * 13 for _ in range(N+1)]
dp[0] = [1] * 13
mod = 1
if S[-1] == '?':
    for d in range(10):
        dp[1][(d * mod) % 13] = 1
else:
    dp[1][(int(S[-1]) * mod) % 13] = 1

S = S[0:N-1]
for n, s in enumerate(S[::-1], start=2):
    mod = (mod * 10) % 13
    if s == '?':
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]
    else:
        m = (int(s) * mod) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]

print(dp[-1][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = input().strip()
N = len(S)

dp = [[0] * 13 for _ in range(N+1)]
dp[0] = [1] * 13
mod = 1
if S[-1] == '?':
    for d in range(10):
        dp[1][(d * mod) % 13] = 1
else:
    dp[1][(int(S[-1]) * mod) % 13] = 1

S = S[0:N-1]
for n, s in enumerate(S[::-1], start=2):
    mod = (mod * 10) % 13
    if s == '?':
        for d in range(10):
            m = (d * mod) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]
    else:
        m = (int(s) * mod) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]

print(dp[-1][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = input().strip()
N = len(S)

dp = [[0] * 13 for _ in range(N+1)]
dp[0] = [1] * 13
if S[0] == '?':
    for d in range(10):
        dp[1][(d * 10 ** (N-1)) % 13] = 1
else:
    dp[1][(int(S[0]) * 10 ** (N-1)) % 13] = 1

for n, s in enumerate(S[1:], start=2):
    if s == '?':
        for d in range(10):
            m = (d * 10 ** (N-n)) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]
    else:
        m = (int(s) * 10 ** (N-n)) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]

print(dp[-1][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math,copy
input = sys.stdin.readline
S = input().strip()
N = len(S)

dp = [[0] * 13 for _ in range(N+1)]
dp[0] = [1] * 13
if S[0] == '?':
    for d in range(10):
        dp[1][(d * 10 ** (N-1)) % 13] = 1
else:
    dp[1][(int(S[0]) * 10 ** (N-1)) % 13] = 1

for n, s in enumerate(S[1:], start=2):
    if s == '?':
        for d in range(10):
            m = (d * 10 ** (N-n)) % 13
            for pm in range(13):
                dp[n][(pm+m)%13] += dp[n-1][pm]
    else:
        m = (int(s) * 10 ** (N-n)) % 13
        for pm in range(13):
            dp[n][(pm+m)%13] += dp[n-1][pm]

print(dp[-1][5] % (10 ** 9 + 7))

Fixed submission:
import sys,math,copy

def main():
    # import numpy as np
    input = sys.stdin.readline
    S = ''.join(reversed(input().strip()))

    # dp = np.zeros((13), dtype=int)
    # dp_ = np.zeros((13), dtype=int)
    dp = [0] * 13
    dp_ = [0] * 13
    mod13_list = [i % 13 for i in range(12 ** 2 + 1)]
    list10 = list(range(10))
    list13 = list(range(13))
    divisor = 10 ** 9 + 7
    dp_[0] = 1
    mul = 1
    for i in range(len(S)):
        s = S[i]
        if s == '?':
            for d in list10:
                m = mod13_list[(d * mul)]
                for pm in list13:
                    dp[mod13_list[(pm+m)]] += dp_[pm]

        else:
            si = int(s)
            m = mod13_list[(si * mul)]
            for pm in list13:
                dp[mod13_list[(pm+m)]] = dp_[pm]

        # dp_ = dp % divisor
        # dp = dp * 0 # np.zeros((13), dtype=int)
        for j in list13:
            dp_[j] = dp[j] % divisor
            dp[j] = 0
        mul = mod13_list[(mul * 10)]
    print(dp_[5])

if __name__ == '__main__':
    main()