Harryxun/stf_run huggingface dataset:
import numpy as np
from scipy.sparse.csgraph import connected_components
from scipy.sparse import csr_matrix

import sys
sys.setrecursionlimit(10**9)
n,m,k=[int(i) for i in input().split()]
frends_num=[0 for i in range(n)]
def make_frends(m,n):
    data=[1 for i in range(m)]

    row=[]
    col=[]
    for k in range(m):
        i,j=[int(l) for l in input().split()]
        new_i=min(i,j)-1
        new_j=max(i,j)-1
        row.append(new_i)
        col.append(new_j)
        frends_num[new_i]+=1
        frends_num[new_j]+=1
    frend_sparce_matrix=csr_matrix((data, (row, col)),shape=(n,n))
    return frend_sparce_matrix


frends=make_frends(m,n)
l,labels=connected_components(frends)
labels
labels=list(labels)

class Group:
    def __init__(self,labels):
        self.labels=labels
        self.group_num=[0 for i in range(l)]
        for i in labels:
            self.group_num[i]+=1
    def get_group_num(self,i):
        return self.group_num[self.labels[i]]

group=Group(labels)


def get_frend_num(i):
    return frends_num[i]


def make_block(k,n):
    block_num=[0 for i in range(n)]
    for p in range(k):
        i,j =[int(l)-1 for l in input().split()]
        new_i=min(i,j)
        new_j=max(i,j)
        if labels[new_i]==labels[new_j]:
            block_num[i]+=1
            block_num[j]+=1
    return block_num

block=make_block(k,n)

def get_block_num(i):
    return block[i]

ans=[]
for i in range(n):
    ans.append(str(group.get_group_num(i)-1-get_frend_num(i)-get_block_num(i)))
print(" ".join())


### FIXED CODE ###

import numpy as np
from scipy.sparse.csgraph import connected_components
from scipy.sparse import csr_matrix

import sys
sys.setrecursionlimit(10**9)
n,m,k=[int(i) for i in input().split()]
frends_num=[0 for i in range(n)]
def make_frends(m,n):
    data=[1 for i in range(m)]

    row=[]
    col=[]
    for k in range(m):
        i,j=[int(l) for l in input().split()]
        new_i=min(i,j)-1
        new_j=max(i,j)-1
        row.append(new_i)
        col.append(new_j)
        frends_num[new_i]+=1
        frends_num[new_j]+=1
    frend_sparce_matrix=csr_matrix((data, (row, col)),shape=(n,n))
    return frend_sparce_matrix


frends=make_frends(m,n)
l,labels=connected_components(frends)
labels
labels=list(labels)

class Group:
    def __init__(self,labels):
        self.labels=labels
        self.group_num=[0 for i in range(l)]
        for i in labels:
            self.group_num[i]+=1
    def get_group_num(self,i):
        return self.group_num[self.labels[i]]

group=Group(labels)


def get_frend_num(i):
    return frends_num[i]


def make_block(k,n):
    block_num=[0 for i in range(n)]
    for p in range(k):
        i,j =[int(l)-1 for l in input().split()]
        new_i=min(i,j)
        new_j=max(i,j)
        if labels[new_i]==labels[new_j]:
            block_num[i]+=1
            block_num[j]+=1
    return block_num

block=make_block(k,n)

def get_block_num(i):
    return block[i]

ans=[]
for i in range(n):
    ans.append(str(group.get_group_num(i)-1-get_frend_num(i)-get_block_num(i)))
print(" ".join(ans))
n = int(input())
s = input()

s = list(s)

l1 = 'abcdefghijklmnopqrstuvwxyz'
l1 = list(l1)

#print(s)

l2 = 'abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyz'
l2 = list(l2)

s1 = [0]*len(s)
s2 = [0]*len(s)

for i in range(len(s)):
	s1[i] = l1.index(s[i])

for i in range(len(s)):
	s2[i] = l2[s1[i]+n] 

#リスト１つずつくっつけて文字列にする
ans = ''
for i in range(len(s2)):
	ans = ans + s2[i]

print(ans)


### FIXED CODE ###

n = int(input())
s = input()

s = list(s)

l1 = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
l1 = list(l1)

l2 = 'ABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZ'
l2 = list(l2)

s1 = [0]*len(s)
s2 = [0]*len(s)

for i in range(len(s)):
	s1[i] = l1.index(s[i])

for i in range(len(s)):
	s2[i] = l2[s1[i]+n] 

#リスト１つずつくっつけて文字列にする
ans = ''
for i in range(len(s2)):
	ans = ans + s2[i]

print(ans)
def resolve():
    N = int(input())
    A = list(map(int, input().split()))
    x = []
    for i in range(1, N):
        x.append(sum(A[i:]))

    ans = 0
    for i in range(N-1):
        ans += A[i] * x[i]
    ans = ans % (10**9 + 7)
    print(ans)

if __name__ == "__main__":
    resolve()

### FIXED CODE ###

def resolve():
    D, T, S = map(int, input().split())
    if D <= T * S:
        print("Yes")
    else:
        print("No")

if __name__ == "__main__":
    resolve()
import sys


def main():
    a, b = [int(s) for s in sys.stdin.readline().strip().split()]

    def gcd(x, y):
        while y:
            x, y = y, x % y
        return x

    def divisors(n, d, ans):
        if n == 1:
            return
        if n % d == 0:
            ans.append(d)
            divisors(n // d, d, ans)
        else:
            divisors(n, d+1, ans)

    gcd_val = gcd(a, b)
    divs = []
    divisors(gcd_val, 2, divs)

    ans = 1
    for div in sorted(list(divs)):
        if div == 1:
            continue
        if gcd_val % div == 0:
            ans += 1
            gcd_val = gcd_val // div
            # while gcd_val % div == 0 and gcd_val > 1:
            #     gcd_val = gcd_val // div
    print(ans)


main()


### FIXED CODE ###

import sys
import math

def main():
    a, b = [int(s) for s in sys.stdin.readline().strip().split()]

    def factorize(x):
        ret = set()
        for n in range(2, int(math.sqrt(x))+2):
            if x % n == 0:
                while x % n == 0:
                    x //= n
                ret.add(n)
        if x != 1:
            ret.add(x)
        return ret

    a_primes = factorize(a)
    b_primes = factorize(b)
    shared = a_primes.intersection(b_primes)
    print(len(shared) + 1)


main()
s=input()
if s[0]=="A" and s.count("C")==1 and s[-1]!="C" and s[1]!="C" and all(x not in s for x  in"ABDEFGHIJKLMNOPQRSTUVWXYZ"):print "AC"
else:print "WA"

### FIXED CODE ###

s=raw_input()
if s[0]=="A" and len(s)>=3 and s.count("C")==1 and s[-1]!="C" and s[1]!="C" and all(x not in s[1:] for x  in"ABDEFGHIJKLMNOPQRSTUVWXYZ"):print "AC"
else:print "WA"
ref=input()
count_list=[]
count=0
seq=["A","T","G","C"]
for base in ref:
    if base in seq:
        count +=1
    else:
        count_list.append(count)
        count =0

print(max(count_list))


### FIXED CODE ###

ref=input()
count=0
count_list=[]
seq=["A","T","G","C"]
for base in ref:
    if base in seq:
        count +=1
       
    else:
        count_list.append(count)
        count =0
    count_list.append(count)

print(max(count_list))
import sys
n,m=map(int,input().split())
s=[]
c=[]
for i in range(m):
    ts,tc=map(int,input().split())
    ts-=1
    s.append(ts)
    c.append(tc)

if n==1:
    ans=min(c)
    for i in range(m):
        if ans!=c[i]:
            print(-1)
            sys.exit()

if n!=1:
    ans=[1]+[0 for i in range(n-1)]
    for i in range(m):
        if s[i]==0 and c[i]==0:
            print(-1)
            sys.exit()
        ans[s[i]]=max(ans[s[i]],c[i])


    for i in range(m):
        if ans[s[i]]!=c[i]:
            print(-1)
            sys.exit()
    for i in range(n):
        print(ans[i],end="")



### FIXED CODE ###

import sys
n,m=map(int,input().split())
a=[-1 for i in range(n)]

for i in range(m):
    s,c=map(int,input().split())
    s-=1

    if n!=1 and s==0 and c==0:
        print(-1)
        sys.exit()

    if a[s]!=-1 and a[s]!=c:
        print(-1)
        sys.exit()
    else:
        a[s]=c


if n==1 and (a[0]==0 or a[0]==-1):
    print(0)
    sys.exit()

x=""
if a[0]==-1: a[0]=1
for i in range(n):
    if a[i]==-1: a[i]=0
    x+=str(a[i])
print(x)
N, Ma, Mb = (list)(map(int, input().split()))
l = []
inf = 10**6
dp = [[[inf]*402 for _ in range(402)] for _ in range(40)]


for _ in range(N):
    l.append((list)(map(int, input().split())))

dp[0][0][0] = 0

for i in range(N):
    for ca in range(401):
        for cb in range(401):
            if dp[i][ca][cb] != inf:
                dp[i+1][ca][cb] = min(dp[i+1][ca][cb], dp[i][ca][cb])
                t_a = l[i][0]
                t_b = l[i][1]
                dp[i+1][ca+t_a][cb+t_b] =\
                    min(dp[i+1][ca+t_a][cb+t_b], dp[i][ca][cb]+l[i][2])

ans = inf
for i in range(1, 401):
    for j in range(1, 401):
        if i*Mb == j*Ma:
            ans = min(ans, dp[N][i][j])

if ans == inf:
    ans = -1
print(ans)


### FIXED CODE ###

N, Ma, Mb = (list)(map(int, input().split()))
l = []
inf = 10**6
dp = [[[inf]*401 for _ in range(401)] for _ in range(41)]


for _ in range(N):
    l.append((list)(map(int, input().split())))

dp[0][0][0] = 0

for i in range(N):
    for ca in range(401):
        for cb in range(401):
            if dp[i][ca][cb] != inf:
                dp[i+1][ca][cb] = min(dp[i+1][ca][cb], dp[i][ca][cb])
                t_a = l[i][0]
                t_b = l[i][1]
                dp[i+1][ca+t_a][cb+t_b] =\
                    min(dp[i+1][ca+t_a][cb+t_b], dp[i][ca][cb]+l[i][2])

ans = inf
for i in range(1, 401):
    for j in range(1, 401):
        if i*Mb == j*Ma:
            ans = min(ans, dp[N][i][j])

if ans == inf:
    ans = -1
print(ans)
n=int(input())
a=list(map(int,input().split()))

import math

total=1
for i in range(n):
    total*=a[i]

b = int(math.pow(10,18))

if int(math.log10(total))-18>0:
    print(-1)
else:
    print(total)



### FIXED CODE ###

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

if a.count(0)>0:
    print(0)
    exit(0)

total=1
for i in a:
    total *=i

    if total>10**18:
        print(-1)
        exit(0)
    
print(total)
nk_list = list(map(int, input().split()))
n,k = nk_list[0], nk_list[1]

keta_lst = list()
for i in range(50):
    if i == 0:
        keta = 1
        keta_lst.append(keta)
    else:
        keta = 2*keta + 3
        keta_lst.append(keta)

paty_lst = list()
for i in range(50):
    if i == 0:
        paty = 1
        paty_lst.append(paty)
    else:
        paty = 2*paty+1
        paty_lst.append(paty)

def eat_paty(n,k):
    
    if n == 0 and k == 1:
        return 1
    
    keta_before = keta_lst[n-1]
    
    if k == 1:
        return 0
    elif k <= keta_before + 1:
        return eat_paty(n-1, k-1)
    elif k == keta_before + 2:
        return paty_lst[n-1]
    elif k <= 2*keta_before + 1:
        return paty_lst[n-1] + eat_paty(n-1, k-keta_before-2)
    elif k == 2*keta_before + 2:
        return 2 * paty_lst[n-1]

print(eat_paty(n,k))

### FIXED CODE ###

nk_list = list(map(int, input().split()))
n,k = nk_list[0], nk_list[1]

keta_lst = list()
for i in range(50):
    if i == 0:
        keta = 1
        keta_lst.append(keta)
    else:
        keta = 2*keta + 3
        keta_lst.append(keta)

paty_lst = list()
for i in range(50):
    if i == 0:
        paty = 1
        paty_lst.append(paty)
    else:
        paty = 2*paty+1
        paty_lst.append(paty)

def eat_paty(n,k):
    
    if n == 0 and k == 1:
        return 1
    
    keta_before = keta_lst[n-1]
    
    if k == 1:
        return 0
    elif k <= keta_before + 1:
        return eat_paty(n-1, k-1)
    elif k == keta_before + 2:
        return paty_lst[n-1]+1
    elif k <= 2*keta_before + 1:
        return paty_lst[n-1] + 1 + eat_paty(n-1, k-keta_before-2)
    elif k > 2*keta_before + 1:
        return 2 * paty_lst[n-1] + 1

print(eat_paty(n,k))
z,*s=map(len,input().split('T'));l=sum(s);Y=1<<l;X=Y<<z
for t,u in zip(s[::2],s[1::2]+[0]):Y=Y>>t|Y<<t;X=X>>u|X<<u
x,y=map(int,input().split());print("Yes"*(X>>l+x&Y>>l+y&1)or"No")


### FIXED CODE ###

s=input()
x,y=map(int, input().split())
cnt = 0; mode = 2
l = len(s) # l + 1 + l
X = Y = 1 << l
for c in s:
    if c is 'F':
        cnt += 1
    else:
        if mode == 0:
            X = (X >> cnt) | (X << cnt)
        elif mode == 1:
            Y = (Y >> cnt) | (Y << cnt)
        else:
            X = X << cnt
            mode = 0
        cnt = 0; mode ^= 1
if cnt > 0:
    if mode == 0:
        X = (X >> cnt) | (X << cnt)
    elif mode == 1:
        Y = (Y >> cnt) | (Y << cnt)
    else:
        X = X << cnt
if (X >> (l + x)) & 1 and (Y >> (l + y)) & 1:
    print("Yes")
else:
    print("No")
N = int(input())
a = list(map(int,input().split()))
one = 0
four = 0
two = 0

for j in range(N):

  if a[j]%2 == 1:
    one += 1
  elif a[j]%4 == 0:
    four += 1
  else :
    two +=1

print("Yes" if four >= one or (four == one - 1 and two == 0) else "No")

### FIXED CODE ###

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

print((n-1)*(m-1))
import sys,heapq,resource
from collections import deque,defaultdict
printn = lambda x: sys.stdout.write(x)
inn = lambda : int(input())
inl   = lambda: list(map(int, input().split()))
inm   = lambda:      map(int, input().split())
DBG = True # and False
R = 10**9 + 7
def ddprint(x):
  if DBG:
    print(x)

def perm(k,d):
    x = k
    for i in range(1,d):
        x = (x * (k-i)) % R
    return x

def dfs(prev, cur):
    d = len(dst[cur])-1
    if d==0:
        return 1
    x = perm(k-2,d)
    for nd in dst[cur]:
        if nd==prev:
            continue
        x = (x * dfs(cur,nd)) % R
    return x

sys.setrecursionlimit(250000)
soft,hard = resource.getrlimit(resource.RLIMIT_STACK)
resource.setrlimit(resource.RLIMIT_STACK,(200000,hard))
n,k = inm()
dst = [ [] for i in range(n) ]
for i in range(n-1):
    a,b = inm()
    a -= 1
    b -= 1
    dst[a].append(b)
    dst[b].append(a)

d = len(dst[0])
x = perm(k,d+1)
for nd in dst[0]:
    x = (x * dfs(0,nd)) % R
print(x)


### FIXED CODE ###

import sys,heapq,resource
from collections import deque,defaultdict
printn = lambda x: sys.stdout.write(x)
inn = lambda : int(input())
inl   = lambda: list(map(int, input().split()))
inm   = lambda:      map(int, input().split())
DBG = True # and False
R = 10**9 + 7
def ddprint(x):
  if DBG:
    print(x)

def perm(k,d):
    x = k
    for i in range(1,d):
        x = (x * (k-i)) % R
    return x

def dfs(prev, cur):
    d = len(dst[cur])-1
    if d==0:
        return 1
    x = perm(k-2,d)
    for nd in dst[cur]:
        if nd==prev:
            continue
        x = (x * dfs(cur,nd)) % R
    return x

sys.setrecursionlimit(250000)
soft,hard = resource.getrlimit(resource.RLIMIT_STACK)
resource.setrlimit(resource.RLIMIT_STACK,(128*1024*1024,hard))
n,k = inm()
dst = [ [] for i in range(n) ]
for i in range(n-1):
    a,b = inm()
    a -= 1
    b -= 1
    dst[a].append(b)
    dst[b].append(a)

for i in range(n):
    if len(dst[i]) >= k:
        print(0)
        exit()

d = len(dst[0])
x = perm(k,d+1)
for nd in dst[0]:
    x = (x * dfs(0,nd)) % R
print(x)
N, Y = map(int, input().split())
ans = 0
found = False
for i in range(N + 1):
    for j in range(0, N - i + 1):
        k = N - i - j
        is_sum = i * 10_000 + j * 5_000 + k * 1_000 == Y
        if is_sum:
            print(i, j, k)
            found = True
            break
    if found:
        break
        # for k in range(N):
        #     if i * 10_000 + j * 5_000 + k * 1_000 == Y and i + j + k == N:
        #         print(i, j, k)
        #         found = True
if not found:
    print("-1 -1 -1")


### FIXED CODE ###

N, Y = map(int, input().split())
ans = 0
found = False

Y //= 1000

T = 0
for i in range(Y // 10 + 1):
    for j in range((Y - i * 10) // 5 + 1):
        T += 1
        x = Y - i * 10 - j * 5
        if x < 0:
            break
        if i + j + x == N:
            print(i, j, x)
            found = True
            break
    if found:
        break
if not found:
    print("-1 -1 -1")
def f(n, x):
    mean =  np.mean(x)
    s1 = sum((x-np.floor(mean))**2)
    s2 = sum((x-np.ceil(mean))**2)
    print(int(min(s1, s2)))

n = int(input())
x = list(map(int, input().split()))
f(n, x)


### FIXED CODE ###

import numpy as np
def f(n, x):
    mean =  np.mean(x)
    s1 = sum((x-np.floor(mean))**2)
    s2 = sum((x-np.ceil(mean))**2)
    print(int(min(s1, s2)))

n = int(input())
x = list(map(int, input().split()))
f(n, x)
n,k,x,y=map(int,input().split())
x_day = min( [n,k] )
y_day = max( [0,n-k])
print( x*x_day + y*y_day )

### FIXED CODE ###

n=int(input())
k=int(input())
x=int(input())
y=int(input())
x_day = min( [n,k] )
y_day = max( [0,n-k])
print( x*x_day + y*y_day )
import sys

def main():
    N = int(input())
    D = map(lambda i: int(i), input().split(' '))
    maximum = 0
    ary = [0] * (N - 1)
    for d in D:
        ary[d] = ary[d] + 1
        if maximum < d:
            maximum = d
    answer = 1
    for i in range(maximum + 1):
        if i == 0:
            if ary[i] != 1:
                print(0)
                sys.exit()
        elif ary[i] == 0:
            print(0)
            sys.exit()
        else:
            answer = (answer * (ary[i - 1] ** ary[i])) % 998244353
    print(answer)

main()


### FIXED CODE ###

import sys

def main():
    N = int(input())
    D = list(map(lambda i: int(i), input().split(' ')))
    # N = 100000
    # D = [0]
    # for i in range(1, N):
    #     D.append(i)

    if D[0] != 0:
        print(0)
        sys.exit()

    ary = [0] * N
    for d in D:
        ary[d] = ary[d] + 1

    # 続いてなかったらNG
    zero = False
    for i in range(len(ary)):
        if ary[i] != 0 and zero is True:
            print(0)
            sys.exit()
        if ary[i] == 0 and zero is False:
            zero = True

    # 距離0は頂点1だけ
    if ary[0] != 1:
        print(0)
        sys.exit()

    answer = 1
    for i in range(1, len(ary)):
        for j in range(ary[i]):
            answer = (answer * ary[i - 1]) % 998244353
    print(answer)

main()
n, k = map(int, input().split(" "))
d = input().split(" ")

for i in range(len(str(n))+1):
	if str(n)[~i] not in d:
		break
	while str(n)[~i] in d:
		n += 10**i
print(n)

### FIXED CODE ###

n, k = map(int, input().split(" "))
d = input().split(" ")

while set(str(n)) & set(d):
	n += 1
print(n)
afgdgrh

### FIXED CODE ###

a = int(input())
print(a+a*a+a*a*a)
N = int(input())
A = list(map(int, input().split()))
result = 0
i = 0
for x in A[:N]:
  for y in A[i+1:]:
    result += x * y
  i += 1

print(result.__mod__(10**9 + 7))

### FIXED CODE ###

D, T, S = map(int, input().split())
if D / S > T:
  print('No')
else:
  print('Yes')
input = [input() for i in range(2)]
num = input[0]
list = list(map(input[1].split()))

def hoge(list):
  new_list = []
  for i in list:
    if i % 2 == 0:
      new_list.append(i)
    else:
      return False
  return new_list

count = 0
while True;
  list = hoge(list)
  if list == False:
    break
  count += 1

print(count)

### FIXED CODE ###

num = input()
listt = input().split()

def hoge(fuga):
    new_list = []
    for i in fuga:
        if int(i) % 2 == 0:
            new_list.append(int(i)/2)
        else:
            return False
    return new_list


count = 0
while True:
    listt = hoge(listt)
    if listt == False:
        break
    count += 1

print(count)
k,t=map(int,input().split())
a=[]
for i in range(t):
    a.append(int(input()))
if max(a)*2-sum(a)-1<0:
    print(0) 
else:
    print(max(a)*2-sum(a)-1)

### FIXED CODE ###

k,t=map(int,input().split())
a=list(map(int,input().split()))
if max(a)*2-sum(a)-1<0:
    print(0) 
else:
    print(max(a)*2-sum(a)-1)
a,b,k=map(int,input().split())

aa =[]
bb=[]
cc=[]

for i in range(1,a):
    if a % i == 0:
        aa.append(i)

for i in range(1,b):
    if a % i == 0:
        bb.append(i)




cc=list(set(aa) & set(bb))
if cc==[]:
    print(1)
    exit()
print(cc[k-1])

### FIXED CODE ###

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

c=[]

for i in range(1,max(a,b)+1):
    if a % i == 0 and b % i == 0:
        c.append(i)
c.sort(reverse=True)

print(c[k-1])
A,B,C=int(input())
if A=B and A!=C:
  print("Yes")
elif B=C and B!=A:
  print("Yes")
elif C=A and C!=B:
  print("Yes")
else:
  print("No")
  

### FIXED CODE ###

a,b,c=map(int,input().split())
if a==b and a!=c:
  print("Yes")
elif b==c and b!=a:
  print("Yes")
elif c==a and c!=b:
  print("Yes")
else:
  print("No")
#coding:UTF-8

a,b,c = map(int,raw_input().split())
for i in range(a,b+1):
    if c % i == 0
    n += 1
print n

### FIXED CODE ###

#coding:UTF-8

n = 0
a,b,c = map(int,raw_input().split())
for i in range(a,b+1):
    if c % i == 0:
        n += 1
print n
list_l = []
list_R = []
ID,gate = map(int,input().split())
s = 0
for i in range(gate):
  l,r = map(int,input().split())
  list_l.append(l)
  list_R.append(r)
a = max(list_l)
b = min(list_R)

for i in range(ID+1):
  if a <= i <= b:
    s += 1
  else:
    None
print(s)

### FIXED CODE ###

a,b = map(int,input().split())
if a >= 13:
  print(b)
elif 12 >= a >= 6:
  print(int(b/2))
else:
  print(0)
l = map(int, input().split())

a=l[0]
b=l[1]
c=l[2]

A=b-a
B=c-b

if A==B:
    print('Yes')
else:
    print('No')


### FIXED CODE ###

l = list(map(int, input().split()))
 
a=l[0]
b=l[1]
c=l[2]
 
A=b-a
B=c-b
 
if A==B:
    print('YES')
else:
    print('NO')
N, M, C = map(int input().split())
B = list(map(int input().split()))
A = [list(map(int input().split())) for i in range(N)]
M = list(range(N))
x = 0
for i in M:
    M[i] = A[i] * B[I] + C
    if M[i] > 0:
        x +=
print(x)

### FIXED CODE ###

N, M, C = map(int, input().split())
B = list(map(int, input().split()))
A = [list(map(int, input().split())) for i in range(N)]
count = 0
for i in range(N):
    s = C
    for j in range(M):
        s += A[i][j] * B[j]
    if s > 0:
        count += 1
print(count)
import math

a,b = map(int,input().split())
c = math.gcd(a,b)

ans = 0
i = 2
while c != 1:
    while c % i == 0:
        c = c // i
    print(c,i,ans)
    i = i + 1
    ans += 1
    
print(ans)

### FIXED CODE ###

from fractions import gcd

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

ans = 0
i = 2
check = False
while c != 1:
    #print(c,i)
    while c % i == 0:
        #print('a')
        c = c // i
        check = True
    i = i + 1
    if check:
        ans += 1
    check = False
    if i > 1000000:
        print(ans+2)
        exit()
print(ans + 1)
import math

nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
    return nCr[(n,r)]


n, a, b, k = map(int, input().split())
count = 0
for i in range(n):
    if (k - (i * a)) % b == 0:
        count += (cmb(n, i) * cmb(n, (k-a*i)/b))
print(count%998244353)

### FIXED CODE ###

N,A,B,K = map(int,input().split())
sprime = 998244353 # approx 10**9
A,B = sorted((A,B))
if (A+B) * N < K:
	print(0)
	exit()
 
def egcd(a, b):
    if a == 0:
        return (b, 0, 1)
    else:
        g, y, x = egcd(b % a, a)
        return (g, x - (b // a) * y, y)
 
def modinv(a, m):
    g, x, y = egcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m
 
memo = [0] * (N+1)
memo[0] = memo[N] = 1
for i in range(1,N//2+1):
	v = memo[i-1] * (N-i+1) * modinv(i,sprime)
	v = v % sprime
	memo[i] = memo[N-i] = v
 
# max is A*N + B*N
sum = 0
for b in range(N+1):
  a = (K-b*B)//A
  if 0 <= a <= N and a*A+b*B == K:
    sum += memo[a]*memo[b]
    sum %= sprime
 
print(sum)
import math
def gcd(numbers):
    # print(numbers)
    g=numbers[0]
    for i in range(n-1):
        g=math.gcd(g,numbers[i])
    return g

n=int(input())
a=list(map(int,input().split()))
gcd_without_i=[gcd(a[:i]+a[i+1:]) for i in range(n)]
# print(gcd_without_i)
print(max(gcd_without_i))


### FIXED CODE ###

def gcd(a,b):
    if a*b<0:
        return -a*b
    while b!=0:
        tmp=a%b
        a=b
        b=tmp
    return a

# def gcd_list(numbers):
#     # print(numbers)
#     g=numbers[0]
#     for i in range(n-1):
#         g=gcd(g,numbers[i])
#     return g
#
# n=int(input())
# a=list(map(int,input().split()))
# gcd_without_i=[gcd_list(a[:i]+a[i+1:]) for i in range(n)]
# # print(gcd_without_i)
# print(max(gcd_without_i))

n=int(input())
a=list(map(int,input().split()))
# gcd_lhs[i]=gcd(a[0],...,a[i-1])
gcd_lhs=[-1 for _ in range(n)]
# gcd_rhs[i]=gcd(a[i+1],...,a[n-1])
gcd_rhs=[-1 for _ in range(n)]
gcd_lhs[1]=a[0]
gcd_rhs[n-2]=a[n-1]
for i in range(1,n):
    gcd_lhs[i]=gcd(gcd_lhs[i-1],a[i-1])
    gcd_rhs[n-1-i]=gcd(gcd_rhs[n-i],a[n-i])

gcd_without_i=[gcd(gcd_lhs[i],gcd_rhs[i]) for i in range(n)]
print(max(gcd_without_i))
#∵∴∵
O = input()
E = input()
S = ""
for i in range(len(E)):
    S = S + O[i]
    S = S + E[i]
if len(E) < len(O):
    S = S + S[len(O)]
print(S)

### FIXED CODE ###

#∵∴∵
O = input()
E = input()
S = ""
for i in range(len(E)):
    S = S + O[i]
    S = S + E[i]
if len(E) < len(O):
    S = S + O[len(O)-1]
print(S)