Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

import math
from collections import defaultdict


def prime_factorize(n):
    """素因数分解する。"""
    def facs():
        """試し割り法における割る数を生成する。"""
        yield 2
        max_prime = int(pow(n, 0.5)) + 1
        for x in range(3, max_prime, 2):
            yield x

    ans = defaultdict(int)
    for fac in facs():
        while n % fac == 0:
            ans[fac] += 1
            n //= fac
        if pow(fac, 2) > n:
            break
    if n != 1:
        ans[n] += 1
    return ans


def count_divs(x):
    di = prime_factorize(x)
    ans = 1
    for exp in di.values():
        ans *= (exp + 1)
    return ans


def co_primes(x):
    """Return co-prime divisors of x."""
    for a in range(int(pow(x, 0.5)) + 1, 0, -1):
        if x % a == 0:
            b = x // a
        else:
            continue
        if math.gcd(a, b) == 1:
            return a, b


def main():
    num = int(input())
    array = [0] * (num + 1)

    def func(x):
        if x == 1:
            return 1
        elif x == 2:
            return 4
        a, b = co_primes(x)
        if min(a, b) == 1:
            # x is prime
            tmp = max(a, b)
            return tmp * count_divs(tmp)
        else:
            return array[a] * array[b]

    ans = 0
    for x in range(num):
        x += 1
        tmp = func(x)
        array[x] = tmp
        ans += tmp

    print(ans)


if __name__ == '__main__':
    main()


### FIXED CODE ###

def main():
    num = int(input())
    ans = 0

    for divisor in range(1, num + 1):
        quotient = num // divisor
        ans += (quotient + 1) * quotient * divisor // 2

    print(ans)


if __name__ == '__main__':
    main()
### BUGGY CODE ###

from fractions import*;g=gcd(*map(int,input().split()));i=2;s={1}
while g>i:
	while g%i<1:g//=i;s|={i}
	i+=1
print(len(s)+(g>1))

### FIXED CODE ###

def f(n):
  ret={1}
  for i in range(2,int(n**.5)+1):
    if n%i==0:
      ret.add(i)
      while n%i==0:
        n//=i
    else:pass
  if n:
    ret.add(n)
  return ret
a,b=map(int,input().split())
print(len(f(a)&f(b)))
### BUGGY CODE ###

N = int(input())
S = []
for i in range(N):
    S.append(input())

def check(S, A, B):
    for i in range(N):
        for j in range(i+1, N):
            if i + A < N:
                a = i + A
            else:
                a = i + A - N
            if j + B < N:
                b = j + B
            else:
                b = j + B - N
            if j + A < N:
                c = j + A
            else:
                c = j + A - N
            if i + B < N:
                d = i + B
            else:
                d = i + B - N
            if S[a][b] != S[c][d]:
                return False
    return True

cnt = 0
for i in range(N):
    if check(S, 0, i):
        cnt += 1
print(cnt * N)

### FIXED CODE ###

N = int(input())
S = []
for i in range(N):
    S.append(input())

def check(S, A, B):
    for i in range(N):
        for j in range(i+1, N):
            if S[i][j] != S[j][i]:
                return 0
    return 1

cnt = 0
for i in range(N):
    cnt += check(S[i:] + S[:i], 0, i)
print(cnt * N)
### BUGGY CODE ###

N, W = map(int, input().split())
wv = []
for _ in range(N):
    wv.append(list(map(int, input().split())))
INF = 10**10
v_max = 10**5
dp = [[INF]*(v_max+1) for _ in range(N+1)]
dp[0][0] = 0
for i in range(N):
    for j in range(v_max+1):
        if j >= wv[i][1]:
            dp[i+1][j] = min(dp[i][j], dp[i][j-wv[i][1]]+wv[i][0])
            #print(i, j, dp[i+1][j], dp[i][j], wv[i][0])
        else:
            dp[i+1][j] = dp[i][j]
ans = 0
for v, w in enumerate(dp[N]):
    if w<= W and v > ans:
        ans = v
print(ans)

### FIXED CODE ###

N, W = map(int, input().split())
wv = []
for _ in range(N):
    wv.append(list(map(int, input().split())))
INF = 10**10
v_max = 10**5
dp = [[INF]*(v_max+1) for _ in range(N+1)]
dp[0][0] = 0
ans = 0
for i in range(N):
    for j in range(v_max+1):
        if j >= wv[i][1]:
            dp[i+1][j] = min(dp[i][j], dp[i][j-wv[i][1]]+wv[i][0])
            #print(i, j, dp[i+1][j], dp[i][j], wv[i][0])
        else:
            dp[i+1][j] = dp[i][j]
        if i+1 == N and dp[i+1][j] <= W:
            ans = j
print(ans)
### BUGGY CODE ###

n, m, k = map(int, input().split())

a = list(map(int, input().split()))
b = list(map(int, input().split()))

A, B = [0], [0]

for i in range(n):
    A.append(a[i]+A[i])

for i in range(m):
    B.append(b[i]+B[i])

ans = 0

for i in range(n+1):
    if A[i] > k:
        break
    for j in range(m, -1, -1):
        time = A[i]+B[j]
        count = i+j
        if time <= k and count > ans:
            ans = count
            break

print(ans)

### FIXED CODE ###

n, m, k = map(int, input().split())

a = list(map(int, input().split()))
b = list(map(int, input().split()))

A, B = [0], [0]

for i in range(n):
    A.append(a[i]+A[i])

for i in range(m):
    B.append(b[i]+B[i])

ans = 0
j = m

for i in range(n+1):
    if A[i] > k:
        break
    while (A[i]+B[j]) > k:
        j -= 1
    ans = max(ans, i+j)
print(ans)
### BUGGY CODE ###

mod = 10**9+7

def hurui(n):
  data = [i for i in range(2, n + 1)]
  for d in data:
    data = [x for x in data if (x == d or x % d != 0)]
  return data

MAX = 10**5 + 100

fac = [1]*(MAX+1)
for i in range(1,MAX+1):
    fac[i] = (fac[i-1]*i)%mod

rev_m = [1]*(MAX+1)
rev_m[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
    rev_m[i-1] = (rev_m[i]*i)%mod

def Comb(n,k):#nCk
    return (fac[n]*rev_m[k]*rev_m[n-k])%mod


N,M = map(int, input().split())
Primes = hurui(8000)
kk = [0]*8000

while M > 1:
  for i,p in enumerate(Primes):
    if M%p == 0:
      kk[i]+=1
      M//=p
      break

ans =1
for k in kk:
  ans *= Comb(k+N-1,k)
  ans %= mod

print(ans)


### FIXED CODE ###

from collections import defaultdict
import sys,heapq,bisect,math,itertools,string

def factors_nojit(n):
    gaps = [1,2,2,4,2,4,2,4,6,2,6]
    length, cycle = 11, 3
    f, fs, nxt = 2, [], 0
    while f * f <= n:
        while n % f == 0:
            fs.append(f)
            n0 = n
            n //= f
        f += gaps[nxt]
        nxt += 1
        if nxt == length:
            nxt = cycle
    if n > 1: fs.append(n)
    return fs

MAX = 10**5 + 100
mod = 10**9+7

fac = [1]*(MAX+1)
for i in range(1,MAX+1):
    fac[i] = (fac[i-1]*i)%mod

rev_m = [1]*(MAX+1)
rev_m[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
    rev_m[i-1] = (rev_m[i]*i)%mod

def Comb(n,k):#nCk
    return (fac[n]*rev_m[k]*rev_m[n-k])%mod

N,M = map(int, input().split())

fs =  factors_nojit(M)
fs.sort()

dd = defaultdict(int)
ed = []
for f in fs:
    if dd[f] == 0:
        ed.append(f)
    dd[f] += 1

ans =1
for e in ed:
  k = dd[e]
  ans *= Comb(k+N-1,k)
  ans %= mod

print(ans)
### BUGGY CODE ###

N,M=map(int, input().split())
H=list(map(int, input().split()))
A, B = [0]*M, [0]*M

ans = [True]*N
tmp = []

for _ in range(M):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    if not a in tmp: tmp.append(a)
    if not b in tmp: tmp.append(b)
    if H[a] >= H[b]: ans[b] = False
    if H[a] <= H[b]: ans[a] = False

ctr = 0
for i in range(N):
    if ans[i]:
        ctr += 1

print(ctr)


### FIXED CODE ###

N,M=map(int, input().split())
H=list(map(int, input().split()))

ans = [True]*N
ctr = 0

for _ in range(M):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    if H[a] >= H[b]: ans[b] = False
    if H[a] <= H[b]: ans[a] = False

for i in range(N):
    if ans[i]:
        ctr += 1

print(ctr)
### BUGGY CODE ###

n = int(input())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
c = list(map(int,input().split()))

import bisect
a.sort()
b.sort()
c.sort()
ans = 0

comb = []
for i in range(len(b)):
    key = bisect.bisect_left(c,b[i]+1)
    comb.append(len(c) -key)
comb.append(0)
combsum = []
for i in range(len(comb)):
    x = sum(comb[i:])
    combsum.append(x)
for A in a:
    key_b = bisect.bisect_left(b,A+1)
    ans += combsum[key_b]
print(ans)

### FIXED CODE ###

n = int(input())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
c = list(map(int,input().split()))

import bisect
a.sort()
b.sort()
c.sort()
ans = 0
for i in range(len(b)):
    ab = bisect.bisect_right(a,b[i]-1) # b[i]より真に小さいaの要素数
    bc = len(c) - bisect.bisect_left(c,b[i]+1) # b[i]より真に大きいcの要素数
    ans += ab*bc
print(ans)
### BUGGY CODE ###

import bisect

def main():
    A, B, Q = map(int, input().split())
    s = list(int(input()) for _ in range(A))
    t = list(int(input()) for _ in range(B))

    sort_s = sorted(s)
    sort_t = sorted(t)
    for _ in range(Q):
        x = int(input())
        s_near = bisect.bisect_left(sort_s, x)
        t_near = bisect.bisect_left(sort_t, x)

        s_candidate = []
        t_candidate = []

        if s_near == 0:
            s_candidate.append(sort_s[s_near])
        elif s_near == A:
            s_candidate.append(sort_s[s_near-1])
        else:
            s_candidate.append(sort_s[s_near])
            s_candidate.append(sort_s[s_near-1])
        
        if t_near == 0:
            t_candidate.append(sort_t[t_near])
        elif t_near == B:
            t_candidate.append(sort_t[t_near-1])
        else:
            t_candidate.append(sort_t[t_near])
            t_candidate.append(sort_t[t_near-1])

        ans = float('inf')
        # sを先に訪れるパターンを考える
        for i in s_candidate:
            for j in t_candidate:
                tmp = abs(x - i) + abs(i - j)
                ans = min(ans, tmp)

        # tをさきに訪れるパターンを考える
        for k in t_candidate:
            for l in s_candidate:
                tmp = abs(x - k) + abs(k - l)
                ans = min(ans, tmp)

        print(ans)
        
main()

### FIXED CODE ###

import bisect
import sys
input = sys.stdin.readline

def main():
    A, B, Q = map(int, input().split())
    s = list(int(input()) for _ in range(A))
    t = list(int(input()) for _ in range(B))

    sort_s = sorted(s)
    sort_t = sorted(t)
    for _ in range(Q):
        x = int(input())
        s_near = bisect.bisect_left(sort_s, x)
        t_near = bisect.bisect_left(sort_t, x)

        s_candidate = []
        t_candidate = []

        if s_near == 0:
            s_candidate.append(sort_s[s_near])
        elif s_near == A:
            s_candidate.append(sort_s[s_near-1])
        else:
            s_candidate.append(sort_s[s_near])
            s_candidate.append(sort_s[s_near-1])
        
        if t_near == 0:
            t_candidate.append(sort_t[t_near])
        elif t_near == B:
            t_candidate.append(sort_t[t_near-1])
        else:
            t_candidate.append(sort_t[t_near])
            t_candidate.append(sort_t[t_near-1])

        ans = float('inf')
        # sを先に訪れるパターンを考える
        for i in s_candidate:
            for j in t_candidate:
                tmp = abs(x - i) + abs(i - j)
                ans = min(ans, tmp)

        # tをさきに訪れるパターンを考える
        for k in t_candidate:
            for l in s_candidate:
                tmp = abs(x - k) + abs(k - l)
                ans = min(ans, tmp)

        print(ans)

main()
### BUGGY CODE ###

n, k = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]

mean = [0]
for i in range(1, 1001):
    mean.append(sum(range(1,i+1))/i)

cum = [0]
for i in range(1, n+1):
    cum.append(cum[i-1] + mean[p[i-1]])

max = sum(p[:k])
idx = 0
for i in range(1, n-k+1):
    if max < sum(p[i:i+k]):
        max = sum(p[i:i+k])
        idx = i

print(cum[idx+k]-cum[idx])


### FIXED CODE ###

n, k = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]

cum = [0]
for i in range(1, n+1):
    cum.append(cum[i-1] + (p[i-1]+1)/2)

res = 0
for i in range(0, n-k+1):
    val = cum[i+k] - cum[i]
    if res < val:
        res = val

print(res)
### BUGGY CODE ###

a, b, n = map( int, input().split() )
#print( a, b, n )

beta = 0.0e0
for ni in range( n+1 ):
#    print( ni )
    betai = ni/b  - int( ni/b )
    beta = max( beta, betai )

ans = int( a * beta )
print( ans )


### FIXED CODE ###

a, b, n = map( int, input().split() )
#print( a, b, n )

if b <= n:
    beta = ( b-1 )/b - int( ( b-1 )/b )

elif b > n:
    beta = n/b - int( n/b )

ans = int( a * beta )
print( ans )
### BUGGY CODE ###

n=int(input())
c = input()
l =list(c)
L = len(l)//2
ans = 0
k = n-1

for i in range(n-1):
    for j in range(k,i,-1):
        if l[i]== 'W' and l[j] == 'R':
            l[j] = 'W'
            ans += 1
            k = j-1
            break
print(ans)

### FIXED CODE ###

n=int(input())
c=input()
r=c.count("R")
r_1=c[:r].count("R")
ans=r-r_1
print(ans)
### BUGGY CODE ###

H, N = map(int, input().split())
AB = [tuple(map(int, input().split())) for _ in range(N)]
AB.sort()

dp = [float("inf")] * (H + AB[-1][0])
dp[0] = 0
for i in range(1, len(dp)):
    for a, b in AB:
        if i - a >= 0:
            dp[i] = min(dp[i], dp[i - a] + b)
        else:
            break

ans = min(dp[H:])
print(ans)



### FIXED CODE ###

from functools import lru_cache
import sys

sys.setrecursionlimit(10 ** 8)

H, N = map(int, input().split())
AB = [tuple(map(int, input().split())) for _ in range(N)]
# 効率順にソート
# 効率が同じなら、小規模な魔法を優先
AB.sort(key=lambda ab: (ab[1] / ab[0], ab[0]))


@lru_cache(maxsize=None)
def dp(h):
    if h <= 0:
        return 0
    else:
        best = float("inf")
        for a, b in AB:
            val = b + dp(h - a)
            if val < best:
                best = val
            else:
                # 更新されなかった場合は、以降の魔法で更新されることはない
                break
        return best


print(dp(H))
### BUGGY CODE ###

def main():
    n, K = map(int, input().split())
    H = list(map(int, input().split()))
    s = sorted(set(H+[0]))
    d = {i: j for j, i in enumerate(s)}
    l = len(s)
    m = max(s)
    a = [m-i for i in s]
    dp = [[10**13]*l for _ in range(K+1)]
    dp[0][0] = 0
    for h in H:
        dh = d[h]
        dp2 = [[10**13]*l for _ in range(K+1)]
        t = [[0]*l for _ in range(K+1)]
        s_plus_a = [[i+j for i, j in zip(a, kk)] for kk in dp]
        min_s = [[dp[i][j] for j in range(l)] for i in range(K+1)]
        for i in range(K+1):
            for j in range(l-2, -1, -1):
                min_s[i][j] = min(min_s[i][j+1], min_s[i][j])
            for j in range(1, l):
                s_plus_a[i][j] = min(s_plus_a[i][j-1], s_plus_a[i][j])
            for j in range(l):
                t[i][j] = s_plus_a[i][j]-a[j]
        for i in range(K):
            for j in range(l):
                dp2[i+1][j] = min(min_s[i][j], t[i][j])
        for i in range(K+1):
            for j in range(l):
                dp2[i][dh] = min(dp2[i][dh], dp[i][j]+max(h-s[j], 0))
        dp = dp2
    print(min([min(i) for i in dp]))


main()


### FIXED CODE ###

def main():
    n, K = map(int, input().split())
    H = list(map(int, input().split()))
    s = sorted(set(H+[0]))
    d = {i: j for j, i in enumerate(s)}
    l = len(s)
    m = max(s)
    a = [m-i for i in s]
    dp = [[10**13]*l for _ in range(K+1)]
    dp[0][0] = 0
    for h in H:
        dh = d[h]
        dp2 = [[0]*l for _ in range(K+1)]
        dp2[0] = [10**13]*l
        t = [[0]*l for _ in range(K)]
        for i in range(K):
            for j in range(l):
                t[i][j] = dp[i][j]+a[j]
        min_s = [[10**13]*l for i in range(K+1)]

        for i in range(K):
            for j in range(l-2, -1, -1):
                min_s[i][j] = min(dp[i][j+1], min_s[i][j])
            for j in range(1, l):
                t[i][j] = min(t[i][j-1], t[i][j])
            for j in range(l):
                t[i][j] = t[i][j]-a[j]

        for i in range(K):
            for j in range(l):
                dp2[i+1][j] = min(min_s[i][j], t[i][j])

        for i in range(K+1):
            temp = 10**13
            for j in range(l):
                temp = min(temp, dp[i][j]+max(h-s[j], 0))
            dp2[i][dh] = min(dp2[i][dh], temp)
        dp = dp2
    print(min([min(i) for i in dp]))


main()
### BUGGY CODE ###

n=int(input())
list1=list(map(int,input().split()))
for i in range(n):
  print(list1.count(i+1))



### FIXED CODE ###

N=int(input())
A=list(map(int, input().split()))
ans=[0]*N
#print(ans)
for a in A:
    ans[a-1] += 1
    #print(ans)
for i in ans:
    print(i)
### BUGGY CODE ###

N,M,K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))

ans = 0

sums_A = ["" for _ in range(len(A)+1)]
sums_B = ["" for _ in range(len(B)+1)]


for a in range(len(A)+1):
    sums_A[a] = sum(A[:a])

for b in range(len(B)+1):
    sums_B[b] = sum(B[:b])


for a in range(len(A)+1):
    K_remain = K - sums_A[a]
    if K_remain >= 0:
        for b in range(len(B)+1):
            if K_remain >= sums_B[b]:
                if ans < a+b:
                    ans = a+b
            else:
                break
    else:
        break
print(ans)

### FIXED CODE ###

import sys
import math
import itertools
import collections
from collections import deque

sys.setrecursionlimit(1000000)
MOD = 10 ** 9 + 7
input = lambda: sys.stdin.readline().strip()

NI = lambda: int(input())
NMI = lambda: map(int, input().split())
NLI = lambda: list(NMI())
SI = lambda: input()

def main():
    N, M, K = NMI()
    A = NLI()
    B = NLI()
    
    cumsum_A = [0 for _ in range(len(A)+1)]
    cumsum_B = [0 for _ in range(len(B)+1)]    
    
    cnt = 0
    
    for n in range(N):
        cnt += A[n]
        cumsum_A[n+1] = cnt
        
    cnt = 0
    
    for m in range(M):
        cnt += B[m]
        cumsum_B[m+1] = cnt
    

    
    ans = 0
    b= M
    
    for n in range(N+1):
        remain_K = K - cumsum_A[n]
        if remain_K < 0:
            break
        else:
            for m in range(b,-1,-1):
                if cumsum_B[m]> remain_K:
                    continue
                else:
                    b = m
                    ans = max(ans,n+m)
                break
    
    print(ans)
            
    


if __name__ == '__main__':
    main()
### BUGGY CODE ###

import bisect

N, M = map(int,input().split())
A = list(map(int,input().split()))

A.sort()

for i in range(M):
    B,C = map(int,input().split())
    index = bisect.bisect_left(A,C)
    if index > B:
        A[:B] = [C] * B
    else:
        A[0:index] = [C] * index
    A.sort()

print(sum(A))

### FIXED CODE ###

N, M = map(int,input().split())
A = list(map(int,input().split()))
B = [list(map(int,input().split())) for i in range(M)]

A.sort()
B.sort(reverse = True, key = lambda x: x[1])

cot = 0
add = 0

for b,c in B:
    cot += b
    if cot > N:
        add = N - cot + b
        A.extend([c] * add)
        break
    else:
        A.extend([c] * b)

print(sum(sorted(A, reverse = True)[:N]))
### BUGGY CODE ###

import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
MOD = 10**9+7

n, m = map(int, readline().split())
a = list(map(int, read().split()))

dp = [0] * (n + 1)
dp[0] = 1
if 1 not in a:
    dp[1] = 1
cnt = 0
for i in range(2, n + 1):
    if i not in a:
        dp[i] = (dp[i - 1] + dp[i - 2]) % MOD
        cnt = 0
    else:
        cnt += 1
        if cnt == 2:
            print('0')
            exit()
print(dp[n])


### FIXED CODE ###

import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
MOD = 10**9+7

n, m = map(int, readline().split())
a = set(map(int, read().split()))

dp = [0] * (n + 1)
dp[0] = 1
if 1 not in a:
    dp[1] = 1
cnt = 0
for i in range(2, n + 1):
    if i not in a:
        dp[i] = (dp[i - 1] + dp[i - 2]) % MOD
        cnt = 0
    else:
        cnt += 1
        if cnt == 2:
            print('0')
            exit()
print(dp[n])
### BUGGY CODE ###

MOD = 10 ** 9 + 7

N, A, B = map(int, input().split())

tmp1 = pow(2, N, MOD) - 1 #1本以上の選び方


def combination(n, r): #nCrを求める
    if n - r > r:
        r = n - r
    tmp = 1
    for i in range(n - r + 1, n + 1):
        tmp *= i
        tmp %= MOD
    for i in range(1, r + 1):
        tmp *= pow(i, MOD - 2, MOD)
        tmp %= MOD
    return tmp

tmp2 = combination(N, A)
tmp3 = combination(N, B)

print ((tmp1 - tmp2 - tmp3) % MOD)

### FIXED CODE ###

MOD = 10 ** 9 + 7

N, A, B = map(int, input().split())

tmp1 = pow(2, N, MOD) - 1 #1本以上の選び方

#計算量 log(m)くらい
def modinv(a, m): #mod. m でのaの逆元 a^{-1}を計算する
    b = m
    u = 1
    v = 0
    while b:
        t = a//b
        a -= t * b
        a, b = b, a
        u -= t * v
        u, v = v, u
    
    u %= m
    if u < 0:
        u += m
    return u


def combination(n, r): #nCrを求める
    if n - r < r:
        r = n - r
    tmp1 = 1
    for i in range(n - r + 1, n + 1):
        tmp1 *= i
        tmp1 %= MOD
    tmp2 = 1
    for i in range(1, r + 1):
        tmp2 *= i
        tmp2 %= MOD
    return tmp1 * modinv(tmp2, MOD)

tmp2 = combination(N, A)
tmp3 = combination(N, B)

print ((tmp1 - tmp2 - tmp3) % MOD)
### BUGGY CODE ###

n, b, r = map(int, input().split())

num = 0
res_b = 0
cnt = n//2 + n%2

for _ in range(cnt):
  num += b
  if num > n:
    res_b += b - (num - n)
  else:
    res_b += b
      
  num += r

  if num > n:
    break
  
print(res_b)

### FIXED CODE ###

n, b, r = map(int, input().split())

cnt_blk = n // (b+r)
res_b = cnt_blk*b
num = cnt_blk*(b+r) + b

if num > n:
  res_b += b - (num - n)
else:
  res_b += b
      
print(res_b)
### BUGGY CODE ###

N,M = map(int,input().split())
judge = 0 #0:不可,1:可

if(M >= 2):
 #N*N行列 島a~b間に定期便あり:1,なし:0
 island = []
 for i in range(N):
  island.append([0]*N)

 island1 = []
 for i in range(M):
  a,b = map(int,input().split())
  a,b = a-1,b-1
  island[a][b] = 1
  island[b][a] = 1
  if(a == 0):
    island1.append(b)
  elif(b == 0):
    island1.append(b)

 for i in island1:
  if(island[i][N-1] == 1):#配列(リスト)の要素のアクセスO(1)
    judge = 1
    break
    
if(judge == 0):
  print('IMPOSSIBLE')
else:
  print('POSSIBLE')

### FIXED CODE ###

N,M = map(int,input().split())
judge = 0 #0:不可,1:可

if(M >= 2):
 #リスト 島1~a間に定期便あり:1,なし:0
 island1 = [0]*N
 #リスト 島b~N間に定期便あり:1,なし:0
 islandN = [0]*N

 for i in range(M):
  a,b = map(int,input().split())
  a,b = a-1,b-1
  if(a == 0): island1[b] = 1
  if(b == 0): island1[a] = 1 
  if(a == N-1): islandN[b] = 1
  if(b == N-1): islandN[a] = 1
    
 for i in range(len(island1)):
  if((island1[i] == 1)and(islandN[i] == 1)):
    judge = 1
    break
    
if(judge == 0):
  print('IMPOSSIBLE')
else:
  print('POSSIBLE')
### BUGGY CODE ###

MOD = 1000000007;

s = input()

n=len(s)

if n<1 or n>10**5:
	print ('Illegal')
	exit()


#a=[-1]*len(s)
b=[[0 for i in range(13)] for j in range(n+1)]
p=[0]*n

x=1
for i in reversed(range(n)):
	p[i]=x%13
	x=p[i]*10
	
for i in range(n):
	if(s[i]=="?"):
		c=-1
	else:
		c=int(s[i])
	if ( i== 0):
		if (c==-1):
			for j in range(10):
				b[0][(p[i]*j)%13]=1
		else:
			b[0][(p[i]*c)%13]=1
	else:
		if (c==-1):
			for j in range(10):
				for k in range(13):
					b[i][(k+p[i]*j)%13]+=b[i-1][k]
		else:
			for k in range(13):
				b[i][(k+p[i]*c)%13]+=b[i-1][k]

	for k in range(13):b[i][k]%=MOD
#	print (b[i])
#	print (b[i+1])

print (b[n-1][5])


### FIXED CODE ###

MOD = 1000000007;

s = [int(x) if x!="?" else -1 for x in input()]

n=len(s)

r=[0]*13

c=s[0]
if (c!=-1):
	r[c]=1
else:
	for i in range(10):r[i]=1

for i in range(1,n):
	dp=[0]*26
	for j in range(13):dp[j*10%13]+=(r[j]%MOD)
	dp[13:26]=dp[0:13]
	c=s[i]
	r=[0]*13
	if (c==-1):
		w=sum(dp[4:14])
		for j in range(13):
				r[j]+=w
				w=w+dp[j+1]-dp[4+j]
	else:
		for j in range(13):
			r[j]+=dp[13-c+j]
print (r[5]%MOD)