Harryxun/stf_run huggingface dataset:
import bisect
N, Q = map(int, input().split())
C = list(map(int, input().split()))
L = [0] * N
R = [0] * N
E = []

D = {C[i]: -1 for i in range(N)}
for i in range(N):
    if D[C[i]] == -1:
        D[C[i]] = i
    else:
        E.append((D[C[i]], i, -1))
        D[C[i]] = i

for i in range(Q):
    l, r = map(int, input().split())
    L[i] = l
    R[i] = r
    E.append((l - 1, r - 1, i))

def f(tup):
    return tup[0]
E.sort(key=f, reverse=True)

ANS = [0] * Q
y_list = []
for e in E:
    if e[2] == -1:
        y_list.append(e[1])
        y_list.sort()
    else:
        ans = bisect.bisect_right(y_list, e[1])
        ANS[e[2]] = e[1] - e[0] + 1 - ans

for i in range(Q):
    print(ANS[i])

### FIXED CODE ###

from collections import defaultdict
import sys
def read():
    return sys.stdin.readline().rstrip()
def main():
    N, Q = map(int, read().split())
    C = list(map(int, read().split()))
    E = defaultdict(list)

    D = [-1] * (N + 1)
    for i in range(N):
        D_i = D[C[i]]
        if D_i != -1:
            E[D_i].append((D_i, i))
        D[C[i]] = i

    F = defaultdict(list)
    for i in range(Q):
        l, r = map(int, input().split())
        F[l-1].append((r - 1, i))



    # Binary Indexed Tree (Fenwick Tree)
    class BIT:
        def __init__(self, n):
            self.n = n
            self.data = [0] * (n + 1)
            self.el = [0] * (n + 1)

        def sum(self, i):
            s = 0
            while i > 0:
                s += self.data[i]
                i -= i & -i
            return s

        def add(self, i, x):
            # assert i > 0
            self.el[i] += x
            while i <= self.n:
                self.data[i] += x
                i += i & -i

        def get(self, i, j=None):
            if j is None:
                return self.el[i]
            return self.sum(j) - self.sum(i)

    ANS = [0] * Q
    d = BIT(N)
    for x in range(N - 1, -1, -1):
        for e in E[x]:
            d.add(e[1], 1)
        for f in F[x]:
            ANS[f[1]] = f[0] - x + 1 - d.sum(f[0])

    for i in range(Q):
        print(ANS[i])

if __name__ == '__main__':
    main()
import decimal
ab = input().split()
a,b = int(ab[0]),decimal(ab[1])
answer = int(a*b)
print(answer)


### FIXED CODE ###

from decimal import Decimal
ab = input().split()
a,b = int(ab[0]),Decimal(ab[1])
answer = int(a*b)
print(answer)
x = int(raw_input())
y = int(raw_input())

print x*y ,
print 2*x+2*y

### FIXED CODE ###

a, b = map(int, raw_input().split())

print '{0} {1}'.format(a*b, 2*a + 2*b)
N,K = map(int, input().split())

print(N+1-k)


### FIXED CODE ###

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

print(N+1-K)
def ii():return int(input())
def iim():return map(int,input().split())
def iil():return list(map(int,input().split()))
import numpy as np

def binary_search(lis, item):
    low = 0
    high = len(lis) - 1
    inRange = high

    if lis[0] > item:
        return 0

    while low <= high:
        mid = (low + high) //2
        guess1 = lis[mid]
        if mid < inRange:
            guess2 = lis[mid+1]
        else:
            if lis[mid] <= item:
                return len(lis)
            else:
                return len(lis)-1
        if guess1 <= item < guess2:
            return mid+1
        if guess1 > item:
            high = mid-1
        else:
            low = mid+1
    return 0

n,m,k = iim()
a = iil()
cuma = []
if a[0] <= k:
    cuma.append(a[0])
    for i in range(n-1):
        num = cuma[-1]+a[i+1]
        if num > k:
            break
        else:
            cuma.append(num)
b = iil()
cumb = []
if b[0] <= k:
    cumb.append(b[0])
    for i in range(m-1):
        num = cumb[-1]+b[i+1]
        if num > k:
            break
        else:
            cumb.append(num)

if len(cuma) > 0:
    cnt = len(cuma)
    ans = cnt+binary_search(cumb,k-cuma[-1])
    for i,item in enumerate(cuma[::-1]):
        tmp = cnt-i-1
        res = k-item
        plus = binary_search(cumb,res)
        ans = max(ans,tmp+plus)
else:
    ans = binary_search(cumb,k)
print(ans)


### FIXED CODE ###

def ii():return int(input())
def iim():return map(int,input().split())
def iil():return list(map(int,input().split()))

def binary_search(lis, item):
    low = 0
    high = len(lis) - 1
    inRange = high

    if lis[0] > item:
        return 0

    while low <= high:
        mid = (low + high) //2
        guess1 = lis[mid]
        if mid < inRange:
            guess2 = lis[mid+1]
        else:
            if lis[mid] <= item:
                return len(lis)
            else:
                return len(lis)-1
        if guess1 <= item < guess2:
            return mid+1
        if guess1 > item:
            high = mid-1
        else:
            low = mid+1
    return 0

n,m,k = iim()
a = iil()
cuma = []
if a[0] <= k:
    cuma.append(a[0])
    for i in range(n-1):
        num = cuma[-1]+a[i+1]
        if num > k:
            break
        else:
            cuma.append(num)
#print(len(cuma))
b = iil()
cumb = []
if b[0] <= k:
    cumb.append(b[0])
    for i in range(m-1):
        num = cumb[-1]+b[i+1]
        if num > k:
            break
        else:
            cumb.append(num)
#print(len(cumb))

ans = len(cumb)
#print(ans)
if len(cuma) > 0:
    cnt = len(cuma)
    for i,item in enumerate(cuma[::-1]):
        tmp = cnt-i
        res = k-item
        plus = binary_search(cumb,res)
        ans = max(ans,tmp+plus)
print(ans)
#print(ans)

#print(cuma)
#print(cumb)
N = int(input())
p = list(map(int,input().split()))
ans = 0
for i in range(N):
    if p[i] == i+1:
        p[i+1]=p[i]
        ans += 1
    else:
        continue
print(ans)

### FIXED CODE ###

N = int(input())
p = list(map(int,input().split()))
ans = 0
for i in range(N):
    if p[i] == i+1 and i<N-1:
        p[i+1]=p[i]
        ans += 1
    elif p[i] == N and i == N-1:
        ans +=1
    else:
        continue
print(ans)
import math
a,b = map(int,input())
print(math.ceil((a+b)/2))

### FIXED CODE ###

import math
a,b = map(int,input().split())
print(math.ceil((a+b)/2))
import numpy as np
from numba import njit

@njit
def solve():
    
    n = int(input())
    
    divisors = np.zeros(n+1, np.int64)
    
    for i in range(1, n+1):
        for j in range(i, n+1, i):
            divisors[j] += 1
    #print(divisors)
    
    ans = 0
    for k in range(n+1):
        ans += (k * divisors[k])
    
    print(ans)

solve()


### FIXED CODE ###

import numpy as np
from numba import jit

@jit
def solve():
    
    n = int(input())
    
    divisors = np.zeros(n+1, np.int64)
    
    for i in range(1, n+1):
        for j in range(i, n+1, i):
            divisors[j] += 1
    #print(divisors)
    
    ans = 0
    for k in range(n+1):
        ans += (k * divisors[k])
    
    print(ans)

solve()
a, b = map(int, input(),split())
print(a*b, a*2 + b*2)

### FIXED CODE ###

a, b = map(int, input().split())
print(a*b, a*2 + b*2)
a,b,c,d=map(int,input.split())
while a or c >0:
  c=c-b
  if c<=0:
    print('Yes')
    break
  a=a-d
  if a<=0:
    print('No')
    break

### FIXED CODE ###

a,b,c,d=map(int,input().split())
e=a//d
f=c//b
x=a-e*d
y=c-f*b
if x==y==0:
  if f<=e:
    print('Yes')
  else:
    print('N0')
elif x==0 and y!=0:
  if f+1<=e:
    print('Yes')
  else:
    print('No')
elif y==0 and x!=0:
  if f<=e+1:
    print('Yes')
  else:
    print('NO')
else:
  if f<=e:
    print('Yes')
  else:
    print('No')
a, b = map(int, input().split())
if 1 <= a and a <= 9 and 1 <= b nd b <= 9:
  print(a*b)
else:
  print(-1)

### FIXED CODE ###

a, b = map(int, input().split())
if 1 <= a <= 9 and 1 <= b <= 9:
  print(a*b)
else:
  print(-1)
x,a,n = map(int,input().split())

A = abs(x-a)
B = abs(x-b)

if A < B:
    print('A')
else:
    print('B')

### FIXED CODE ###

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

A = abs(x-a)
B = abs(x-b)

if A < B:
    print('A')
else:
    print('B')
n, k = map(int, input().split())
a = list(map(int, input().split()))

cum = []
abscum = []

cu = 0
acu = 0
for i in range(n):
    cu += a[i]
    acu += abs(a[i])
    cu.append(cum)
    acu.append(abscum)

ans = 0
for i in range(n-k):
    if i == 0:
        ans = max(ans, abscum[n-1] - abscum[i+k-1] + abs(cum[i+k-1]))
    else:
        ans = max(ans, abscum[n - 1] - (abscum[i + k - 1] - abscum[i-1]) + abs(cum[i + k - 1] - cum[i-1]))
        
print(ans)

### FIXED CODE ###

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

cum = []
abscum = []

cu = 0
acu = 0
for i in range(n):
    cu += a[i]
    acu += max(0, a[i])
    cum.append(cu)
    abscum.append(acu)

ans = 0
for i in range(n-k+1):
    if i == 0:
        ans = max(ans, abscum[n-1] - abscum[i+k-1] + max(0, cum[i+k-1]))
    else:
        ans = max(ans, abscum[n - 1] - (abscum[i + k - 1] - abscum[i-1]) + max(0, cum[i + k - 1] - cum[i-1]))

print(ans)
s=int(input())
a=[s]
for i in range(500):
    if a[i]%2==0:
        a.append(a[i]//2)
    else:
        a.append(a[i]*3+1)
ans=a.index(4)+4
if s==1 or s==2:
    print(4)
else:
    print(ans)

### FIXED CODE ###

ABClist=input().split()
AB=int(ABClist[0])
BC=int(ABClist[1])
ans=int(AB*BC/2)
print(ans)
N,W=map(int,input().split())
Wlist=[]
Vlist=[]
for i in range(N):
  w,v=map(int,input().split())
  Wlist+=[w]
  Vlist+=[v]
dp=[[0 for p in range(W)] for i in range(N)]
for i in range(N):
  wi=Wlist[i]
  if i==0:
    dp[0][Wlist[0]-1]=Vlist[0]
  else:
    for j in range(W):
      if j+wi<W:
        if j==0:
          dp[i][wi-1]=max(Vlist[i],dp[i][wi-1])
        if dp[i-1][j]!=0:
          dp[i][j+wi]=max(dp[i-1][j]+Vlist[i],dp[i][j+wi])
      dp[i][j]=max(dp[i-1][j],dp[i][j])
print(max(dp[N-1])

### FIXED CODE ###

N,W=map(int,input().split())
Wlist=[]
Vlist=[]
for i in range(N):
  w,v=map(int,input().split())
  Wlist+=[w]
  Vlist+=[v]
dp=[[0 for p in range(W+1)] for i in range(N)]
for i in range(W+1):
  if i>=Wlist[0]:
    dp[0][i]=Vlist[0]
for i in range(1,N):
  wi=Wlist[i]
  for j in range(W+1):
    if j-wi>=0:
      dp[i][j]=max(dp[i-1][j-wi]+Vlist[i],dp[i-1][j])
    else:
      dp[i][j]=max(dp[i-1][j],dp[i][j])
print(max(dp[N-1]))
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())

N,M = map(int,input().split())
union = UnionFind(N)
for i in range(M):
    A,B = map(int,input().split())
    union.union(A,B)
print(union.group_count()-1)


### FIXED CODE ###

class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())

N,M = map(int,input().split())
union = UnionFind(N)
for i in range(M):
    A,B = map(int,input().split())
    union.union(A-1,B-1)
print(union.group_count()-1)
a = list(map(int, input().split(//)))
b = 0

for i in range(3):
    print(a[i])
    if a[i] == 1:
      b += 1
print(b)

### FIXED CODE ###

x = input()
a = list(x)
a  = [int(s) for s in x]
b = 0
for i in range(3):
    if a[i] == 1:
      b += 1
      
      
      
print(b)
n = int(input());A = [int(input()) for _ in range(n)];A.sort();if n%2==1:print(max(2*sum(A[n-n//2:])-sum(A[n-n//2-2:n-n//2])-2*sum(A[:n-n//2-2]),-2*sum(A[:n//2])+sum(A[n//2:n//2+2])+2*sum(A[n//2+2:])));else:print(-2*sum(A[:(n-2)//2])-A[(n-2)//2]+A[(n-2)//2+1]+2*sum(A[(n-2)//2+2:]))

### FIXED CODE ###

n = int(input())
A = [int(input()) for _ in range(n)]
A.sort()
if n%2==1:print(max(2*sum(A[n-n//2:])-sum(A[n-n//2-2:n-n//2])-2*sum(A[:n-n//2-2]),-2*sum(A[:n//2])+sum(A[n//2:n//2+2])+2*sum(A[n//2+2:])))
else:print(-2*sum(A[:(n-2)//2])-A[(n-2)//2]+A[(n-2)//2+1]+2*sum(A[(n-2)//2+2:]))
N = int( input() )
if 7 in input :
    print( 'Yes' )
else :
    print( 'No' )

### FIXED CODE ###

n = input()
for ni in n:
    if ni == '7' :
        print( 'Yes' )
        quit()
print( 'No' )
import math
a,b,h,m = map(int, input().split())
if h > 12:
    h_c = h-12
else:
    h_c = h
p_d = 6*(abs((h_c)*5 - m))
if p_d >= 180:
    p_d2 = 360 - p_d 
    d_2 = a**2 + b**2 - 2*a*b*math.cos(math.radians(p_d2))
    print(math.sqrt(d_2))
else:
    d_2 = a**2 + b**2 - 2*a*b*math.cos(math.radians(p_d))
    print(math.sqrt(d_2))

### FIXED CODE ###

n = list(input())
n_1 = int(n[-1])
if n_1 == 3:
    print("bon")
elif n_1 == 0 or n_1 == 1 or n_1 == 6 or n_1 == 8:
    print("pon")
else:
    print("hon")
N,K,X,Y= map(int, input().split())
if N<=K:
  print(N*X)
else:
  print(N*X+(N-K)*Y)

### FIXED CODE ###

N= int(input())
K= int(input())
X= int(input())
Y= int(input())

if N<=K:
  print (N*X)
else:
  print (K*X+(N-K)*Y)
moji = {a: b for a, b in zip("abcdefghijklmnopqrstuvwxyz", range(26))}

s = list(raw_input())
k = int(raw_input())

for i, e in enumerate(s):
    if 26 - moji[e] <= k:
        s[i] = "a"
        k -= 26 - moji[e]

k = k % 26 if k >= 0 else 0
if k != 0:
    s[-1] = "abcdefghijklmnopqrstuvwxyz"[(moji[s[-1]] + k) % 26]

print "".join(s)


### FIXED CODE ###

s = raw_input()
print s[:4], s[4:]
if __name__ == "__main__":
    mod = 998244353

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

    if d[0] > 0:
        print('0')
        exit()

    d.sort()
    d.pop(0)
    if d[0] == 0:
        print('0')
        exit()

    tmp = 1
    ans = 1
    max_num = max(d)
    dic = dict()
    for i in range(n-1):
        if d[i] in dic:
            dic[d[i]] += 1
        else:
            dic[d[i]] = 1

    for i in range(1, max_num+1):
        count = dic[i]
        if count == 0:
            print('0')
            exit()
        ans *= tmp ** count
        ans %= mod
        tmp = count

    print(ans)


### FIXED CODE ###

if __name__ == "__main__":
    mod = 998244353

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

    if d[0] > 0:
        print('0')
        exit()

    if len(d) == 1:
        print('1')
        exit()

    d.sort()
    d.pop(0)
    if d[0] == 0:
        print('0')
        exit()

    tmp = 1
    ans = 1
    max_num = max(d)
    dic = dict()
    for i in range(n-1):
        if d[i] in dic:
            dic[d[i]] += 1
        else:
            dic[d[i]] = 1

    for i in range(1, max_num+1):
        if i in dic:
            count = dic[i]
        else:
            print('0')
            exit()
        if count == 0:
            print('0')
            exit()
        ans *= tmp ** count
        ans %= mod
        tmp = count

    print(ans)
import math

def main():
    A,B,C,D = map(int, input().split())  
    lc = lcm(C, D)
    Bsum = B - (B//C) - (B//D) + (B//lc)
    A1 = A-1
    Asum = A1 - (A1//C) - (A1//D) + (A1//lc)
    print(Bsum-Asum)
    
def lcm(x, y):
    return (x * y) // math.gcd(x, y)



if __name__ == '__main__':
    main()


### FIXED CODE ###

import fractions

def main():
    A,B,C,D = map(int, input().split())  
    lc = lcm(C, D)
    Bsum = B - (B//C) - (B//D) + (B//lc)
    A1 = A-1
    Asum = A1 - (A1//C) - (A1//D) + (A1//lc)
    print(Bsum-Asum)
    
def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)



if __name__ == '__main__':
    main()
N = int(input())
A = list(map(int, input().split()))
A.sort()
A.reverse()
que = []

def solve(i):
    if len(que) >=  2:
        return True
    num = A[i]
    check = num in que
    if A.count(num) > 3:
        que.append(num)
        que.append(num)
    elif A.count(num) > 1 and check == False:
        que.append(num)
    if i == N - 1:
        return False
    else:
        return solve(i+1)

a = solve(0)
if a == True:
    ans = que[0] * que[1]
    print(ans)
else:
    print(0)


### FIXED CODE ###

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

A = abs(x-a)
B = abs(x-b)
if A < B:
    print("A")
else:
    print("B")
h,w=map(int,input().split())
if(h==1 or w==1):
    print(1)
    sys.exit()
if((h*w)%2):
    print(int((h*w)//2+1))
else:
    print(int((h*w)//2))

### FIXED CODE ###

import sys
h,w=map(int,input().split())
if(h==1 or w==1):
    print(1)
    sys.exit()
if((h*w)%2):
    print(int((h*w)//2+1))
else:
    print(int((h*w)//2))
import collections

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

a_counter=collections.Counter(a)
li=a_counter.most_common()[k:]
ans=0
for i in li:
    ans+=i[1]
print(ans)


### FIXED CODE ###

import collections

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

a_counter=collections.Counter(a)
li=a_counter.most_common()[k:]
ans=0
for i in li:
    ans+=i[1]
print(ans)
import math
from decimal import Decimal
X = int(input())
now = 100
year = 0

while True:
    if now >= X:
        break
    #王道
    #now += now // 100

    #Decimal型を経由する方法
    #now = int(now * Decimal("1.01"))
    #now = int(now * round(Decimal(1.01), 2))
    now = Decimal(floor(now * 1.01))


    year += 1

print(year)


### FIXED CODE ###

import math
X = int(input())
now = 100

year = 0

while True:
    if now >= X:
        break
    now += now // 100
    year += 1

print(year)
str1 = input()
s_list = list(str1)
str_len = len(str1)
n = 0
for i in range(str_len):
  if == s_list[i]:
    n = n + 1
print(n)

### FIXED CODE ###

str1 = input()
s_list = list(str1)
str_len = len(str1)
n = 0
for i in range(str_len):
  if 1 == int(s_list[i]):
    n = n + 1
print(n)
S = [x for x in int()]
print(700 + 100 * S.count('o'))

### FIXED CODE ###

S = [x for x in input()]
print(700 + 100 * S.count('o'))
import sys
sys.setrecursionlimit(10**10) 
N,K = list(map(int,input().split()))
A = input()
A = list(A)
A = list(map(int,A))
def serch_right(x,K,t):
    global count0,count1
    if x<0 or len(A)<=x:
        return count1
    if A[x]==0:
        if t == 0:
            t=0
            count1 +=1
        elif t==1 :
            if count0==K:
                return count1
            t=0
            count1 +=1
            count0 +=1
            
    else:
        t=1
        count1+=1
    count1 = serch_right(x+1,K,t)
    return count1
def serch_left(x,A):
    global count2
    if x<0 or len(A)<=x or A[x]==0:
        return count2
    if A[x]==1:
        count2 +=1
    count2 = serch_left(x-1,A)     
    return count2
count =0
count0 =0
count1 =0
for i in range(len(A)):
    if A[i]==0 and (A[i-1]!=0 or i == 0):
        count2 = 0
        count1 =0
        count0 =0
        t = 1
        count1 = serch_right(i,K,t)
        count2 = serch_left(i-1,A)
        count1 = count1 + count2
        count = max(count1,count)
print(max(count,1))

### FIXED CODE ###

N,K = list(map(int,input().split()))
A = input()
A = list(A)
A = list(map(int,A))
l = [0]
s = []

for i in range(N-1):
    if A[i] != A[i+1]:
        l.append(i+1)
        s.append(l[len(l)-1]-l[len(l)-2])
l.append(N)
s.append(l[len(l)-1]-l[len(l)-2])
a = 0
right = 0
left = 0
g = 0
su = 0
if A[0] == 0:
    for i in range(len(s)):
        su +=s[right]
        if right%2==0:
            g += 1
        right +=1
        if g<=K:
            a = max(a,su)
        else:
            while g>K:
              su -= s[left]
              if left%2==0:
                  g -=1
              left +=1
        a = max(a,su)
else:
    for i in range(len(s)):
        su +=s[right]
        if right%2==1:
            g += 1
        right +=1
        if g<=K:
            a = max(a,su)
        else:
            while g>K:
              su -= s[left]
              if left%2==1:
                  g -=1
              left +=1
        a = max(a,su)

print(a)
ans=[1,2,3]
a=int(input())
b=int(input())
ans.del(a)
ans.del(b)
print(ans[0])

### FIXED CODE ###

ans=[1,2,3]
a=int(input())
b=int(input())
ans.remove(a)
ans.remove(b)
print(ans[0])
from functools import reduce
from itertools import permutations

def f(s):
    while True:
        t = s.replace('()', '')
        if t == s:
            return s
        s = t

N = int(input())
S = [input() for _ in range(N)]

l = 0
r = 0
for s in S:
    t = s.count('(')
    l += t
    r += len(s) - t
if l != r:
    print('No')
    exit()

S = [s for s in map(f, S) if s != ""]

if len(S) == 0:
    print('Yes')
    exit()

lS = [s for s in S if s[0] == "("]
rS = [s for s in S if s[0] == ")"]

ld = {}
for s in lS:
    ld.setdefault(s, 0)
    ld[s] += 1

rd = {}
for s in rS:
    rd.setdefault(s, 0)
    rd[s] += 1

for k1 in ld:
    for k2 in rd.keys():
        if f(k1 + k2) != '':
            continue
        t = max(ld[k1], rd[k2])
        ld[k1] -= t
        rd[k2] -= t

if len(ld) == 0 and len(rd) == 0:
    print('Yes')
    exit()

SS = []
for k in ld:
    for i in range(ld[k]):
        SS.append(k)
for k in rd:
    for i in range(rd[k]):
        SS.append(k)

for ss in permutations(SS, len(SS)):
    t = reduce(lambda x, y: x + y, ss)
    if f(t) == '':
        print('Yes')
        exit()
print('No')


### FIXED CODE ###

def scan(s):
    m = 0
    a = 0
    for c in s:
        if c == '(':
            a += 1
        elif c == ')':
            a -= 1
        m = min(m, a)
    return m, a


def key(v):
    m, a = v
    if a >= 0:
        return 1, m, a
    else:
        return -1, a - m, a

N = int(input())
S = [input() for _ in range(N)]

c = 0
for m, a in sorted([scan(s) for s in S], reverse=True, key=key):
    if c + m < 0:
        c += m
        break
    c += a

if c == 0:
    print('Yes')
else:
    print('No')
N = input()
a = [input() for i in range(N)]
b = sorted(a ,reverse = True)
res = sum(b[0]/2,sum(b[1:]))
print(res)

### FIXED CODE ###

N = int(input())
a = [int(input()) for i in range(N)]
b = sorted(a ,reverse = True)
res = int(b[0]/2 + sum(b[1:]))
print(res)
import sys
sys.setrecursionlimit(10**9)

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

log = []

def func(x, iter):
    x = A[x-1]

    if iter+1 == K:
        return x
    if x in log:
        tmp = K%(iter+1)
        return log[tmp]
    else:
        log.append(x)
        iter += 1
        return func(x, iter)

print(func(1, 0))

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**9)

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

log = []
check = [False]*N

def func(x, iter):
    x = A[x-1]

    if iter+1 == K:
        return x
    if check[x-1]:
        ix = log.index(x)
        loop = log[ix:]
        tmp = (K-iter-1)%len(loop)
        return loop[tmp]
    else:
        log.append(x)
        check[x-1] = True
        iter += 1
        return func(x, iter)

print(func(1, 0))
N = map(int, input().split())
for n in N:
    if n == 5 :
        cnt_5 += 1
    elif n == 7 :
        cnt_7 += 1

if cnt_5 == 2 & cnt_7 == 1:
    print('Yes')
else:
    print('N0')

### FIXED CODE ###

a = [x for x in input().split()]
cnt_5 = 0
cnt_7 = 0
for x in a:
    if x == '5':
        cnt_5 += 1
    elif x == '7':
        cnt_7 += 1

print('YES' if cnt_5 == 2 and cnt_7 == 1 else 'NO')