Problem:
 Score : 600 points    Problem Statement A bracket sequence is a string that is one of the following:   An empty string;  The concatenation of ( , A , and ) in this order, for some bracket sequence A ;  The concatenation of A and B in this order, for some non-empty bracket sequences A and B /   Given are N strings S_i . Can a bracket sequence be formed by concatenating all the N strings in some order?      Constraints  1 \leq N \leq 10^6  The total length of the strings S_i is at most 10^6 .  S_i is a non-empty string consisting of ( and ) .         Input Input is given from Standard Input in the following format:  N  S_1  :  S_N       Output If a bracket sequence can be formed by concatenating all the N strings in some order, print Yes ; otherwise, print No .        Sample Input 1 2
)
(()      Sample Output 1 Yes  Concatenating (() and ) in this order forms a bracket sequence.       Sample Input 2 2
)(
()      Sample Output 2 No       Sample Input 3 4
((()))
((((((
))))))
()()()      Sample Output 3 Yes       Sample Input 4 3
(((
)
)      Sample Output 4 No

Solution (Python):
import cython
 
def main():
    import sys
    readline = sys.stdin.readline
    
    N: cython.longlong
    N = int(readline())
    S = [readline().strip() for i in range(N)]
    
    D = []
    L, R = [], []
    for s in S:
        l: cython.longlong = 0
        r: cython.longlong = 0
        for c in s:
            if c == ')':
                if l > 0: l -= 1
                else: r += 1
            else: l += 1
        if l == 0 and r == 0:pass
        elif l == 0: R.append(r)
        elif r == 0: L.append(l)
        else: D.append((l, r))
    
    L: cython.longlong
    R: cython.longlong
    L = sum(L)
    R = sum(R)
    
    inc = []
    dec = []
    for l, r in D:
        if l > r:
            inc.append((l, r))
        else:
            dec.append((l, r))
    
    inc.sort(key=lambda x:x[1])
    dec.sort(key=lambda x:-x[1])
    
    D = inc + dec
    
    l: cython.longlong
    r: cython.longlong
    for _, (l,r) in enumerate(D):
        L -= r
        if L < 0:
            print('No')
            exit(0)
        L += l
    
    if L == R:
        print('Yes')
    else:
        print('No')
 
if __name__ == '__main__':
    main()

Solution (Python):
from cython import longlong
 
def main():
    n: longlong
    n=int(input())
    lp, lm = [], []
    for i in range(n):
        s=input()
        
        x: longlong
        y: longlong
        x,y=0,0
        
        for j in s:
            if j=="(":x+=1
            else:x-=1
            y=min(y,x)
        if x>0: lp.append((y,x))
        else: lm.append((y-x,-x))
    lp.sort()
    s: longlong
    s=0
 
    i: longlong
    j: longlong
    for i,j in lp[::-1]:
        if s+i<0:
            print("No")
            exit()
        s+=j
    lm.sort()
 
    t: longlong
    t=0
 
    i: longlong
    j: longlong
    for i,j in lm[::-1]:
        if t+i<0:
            print("No")
            exit()
        t+=j
    if s==t: print("Yes")
    else: print("No")
 
if __name__ == '__main__':
    main()

Solution (Python):
n = int(input())
ara = [input() for _ in range(n)]
pref = []
suff = []

for s in ara:
	pos = neg = 0
	for ch in s:
		if ch == '(':
			pos += 1
		elif pos == 0:
			neg += 1
		else:
			pos -= 1
	if pos >= neg:
		pref.append([pos, neg])
	else:
		suff.append([pos, neg])


pref.sort(key=lambda x: x[1])
suff.sort(key=lambda x: x[0], reverse=True)

totPos = 0

ara = pref + suff

for pos, neg in ara:
	if neg > totPos:
		print("No")
		exit(0)
	totPos -= neg
	totPos += pos


if totPos != 0:
	print("No")
else:
	print("Yes")

Solution (Python):
def examA():
    S = SI()
    T = SI()
    if S==T[:len(S)]:
        if len(S)+1==len(T):
            print("Yes")
            return
    print("No")
    return

def examB():
    A, B, C, K = LI()
    ans = 0
    if A>=K:
        ans = K
    else:
        ans += A
        K -= A
        if K>B:
            K -= B
            ans -= K
    print(ans)
    return

def examC():
    N, M, X = LI()
    C = [LI()for _ in range(N)]
    loop = 2**N
    ans = inf
    for l in range(loop):
        cur = 0
        A = [0]*M
        for j in range(N):
            if (1<<j)&l>0:
                cur += C[j][0]
                for k in range(M):
                    A[k] += C[j][k+1]
        flag = True
        for i in range(M):
            if A[i]<X:
                flag = False
                break
        if flag:
            ans = min(ans,cur)
    if ans==inf:
        print(-1)
        return
    print(ans)
    return

def examD():
    N, K = LI()
    A = LI()
    locat_doubling = [[0]*N for _ in range(100)]
    for i in range(N):
        locat_doubling[0][i] = i
        locat_doubling[1][i] = A[i]-1
    for k in range(2,100):
        for i in range(N):
            locat_doubling[k][i] = locat_doubling[k-1][locat_doubling[k-1][i]]
    
    ans = [i for i in range(N)]
    for k in range(100):
        for i in range(N):
            if K&(1<<k)>0:
                ans[i] = locat_doubling[k+1][ans[i]]
    print(ans[0]+1)
    return

def examE():
    class combination():
        
        def __init__(self, n, mod):
            self.n = n
            self.mod = mod
            self.fac = [1] * (n + 1)
            self.inv = [1] * (n + 1)
            for j in range(1, n + 1):
                self.fac[j] = self.fac[j - 1] * j % mod

            self.inv[n] = pow(self.fac[n], mod - 2, mod)
            for j in range(n - 1, -1, -1):
                self.inv[j] = self.inv[j + 1] * (j + 1) % mod

        def comb(self, n, r):
            if r > n or n < 0 or r < 0:
                return 0
            return self.fac[n] * self.inv[n - r] * self.inv[r] % self.mod
    N, M, K = LI()
    C = combination(N,mod2)
    ans = 0
    for i in range(N):
        if i>K:
            break
        cur = C.comb(N-1,i) * M * pow((M - 1), N - i - 1, mod2) % mod2
        
        ans += cur
        ans %= mod2
    print(ans)
    return

def examF():
    N = I()
    LRC = [[0,0,0]for _ in range(N)]
    flag_l = False; flag_r = False
    C = 0
    for i in range(N):
        S = SI()
        cur = 0
        l = 0
        for s in S:
            if s==")":
                cur += 1
            else:
                cur -= 1
            if cur>l:
                l = cur
        LRC[i][0] = l
        if l==0:
            flag_l = True
        cur = 0
        r = 0
        for s in S[::-1]:
            if s=="(":
                cur += 1
            else:
                cur -= 1
            if cur>r:
                r = cur
        LRC[i][1] = r
        if r==0:
            flag_r = True
        LRC[i][2] = l-r
        C += l-r
    if (not flag_l) or (not flag_r):
        print("No")
        return
    if C!=0:
        print("No")
        return
    
    LRC.sort(key=lambda x:x[1])
    A = [0]*N
    B = [0]*N
    
    for i in range(N):
        A[i] = LRC[i][2]
        B[i] = LRC[i][0]
    now = 0
    for i in range(N):
        ne = bisect.bisect_right(B,now)-1
        now += A[ne]
        
        A[ne] = 0
    if random.random()>0.5:
        print("No")
        return
    print("Yes")
    return

def examF2():
    N = I()
    LC = []
    RC = []
    C = 0
    for i in range(N):
        S = SI()
        cur = 0
        l = 0
        for s in S:
            if s==")":
                cur += 1
            else:
                cur -= 1
            if cur>l:
                l = cur
        cur = 0
        r = 0
        for s in S[::-1]:
            if s=="(":
                cur += 1
            else:
                cur -= 1
            if cur>r:
                r = cur
        cnt = l-r
        C += cnt
        if cnt<0:
            LC.append((l,r))
        else:
            RC.append((r,l))
    if C!=0:
        print("No")
        return
    LC.sort()
    RC.sort()
    
    
    L = 0
    for nowl,nowr in LC:
        if nowl>L:
            print("No")
            
            return
        L += nowr-nowl
    R = 0
    for nowr,nowl in RC:
        if nowr>R:
            print("No")
            
            return
        R += nowl-nowr
    print("Yes")
    return

import sys,bisect,itertools,heapq,math,random
from copy import deepcopy
from heapq import heappop,heappush,heapify
from collections import Counter,defaultdict,deque
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
def I(): return int(input())
def LI(): return list(map(int,sys.stdin.readline().split()))
def LSI(): return list(map(str,sys.stdin.readline().split()))
def LS(): return sys.stdin.readline().split()
def SI(): return sys.stdin.readline().strip()
global mod,mod2,inf,alphabet,_ep
mod = 10**9 + 7
mod2 = 998244353
inf = 10**18
_ep = 10**(-12)
alphabet = [chr(ord('a') + i) for i in range(26)]

sys.setrecursionlimit(10**7)

if __name__ == '__main__':
    examF2()

"""
142
12 9 1445 0 1
asd dfg hj o o
aidn

5
))))(((((
(((
))))))((
)((
)

6
(()))(())(((
()((()
())
)(()()(
)))(())(((
))))()
"""

Solution (Python):
n=int(input())
s=[input() for i in range(n)]
p,m=[],[]
res=0
for i in range(n):
    lr=0
    min_=0
    for c in s[i]:
        if c=='(':
            lr+=1
        else:
            lr-=1
        min_=min(min_,lr)
    if lr>=0:
        p.append([lr,min_])
    else:
        m.append([lr,min_])
    res+=lr
if res!=0:
    print('No')
    exit()
p.sort(key=lambda x:x[1],reverse=True)
m.sort(key=lambda x:(x[0]-x[1]),reverse=True)
cum=0
for x,y in p:
    if cum+y<0:
        print('No')
        exit()
    cum+=x
for x,y in m:
    if cum+y<0:
        print('No')
        exit()
    cum+=x
print('Yes')

Solution (Python):
N = int(input())

tleft = 0
tright = 0
a = []
b=  []
for _ in range(N):
  s = input()
  left = 0
  lmin = 0
  for c in s:
    if c == "(":
      left += 1
    else: 
      left -= 1
      lmin = min(lmin,left)
  
  if left >= 0:
    if lmin == 0:
      tleft += left
    else:
      a.append([left,lmin])
  else:
    if left <= lmin:
      tright += left
    else:
      b.append([left,lmin])

a.sort(key=lambda x:-x[1])
b.sort(key=lambda x:x[1])

for left, lmin in a:
  if tleft + lmin < 0:
    print("No")
    exit(0)
  else:
    tleft += left

for left, lmin in b:
  if tleft + lmin < 0:
    print("No")
    exit(0)
  else:
    tleft += left

if tleft + tright == 0:
  print("Yes")
else:
  print("No")

Solution (Python):
def main():
    n = int(input())
    Ss = [input() for _ in range(n)]
    U = [[0, 0] for _ in range(n)]
    for i in range(n):
        for c in Ss[i]:
            if c == "(":
                U[i][1] += 1
            else:
                if U[i][1] == 0:
                    U[i][0] += 1
                else:
                    U[i][1] -= 1
    L, R = 0, 0
    P = []
    for i in range(n):
        if U[i][0] == 0 and U[i][1] > 0:
            L += U[i][1]
        elif U[i][0] > 0 and U[i][1] == 0:
            R += U[i][0]
        elif U[i][0] > 0 and U[i][1] > 0:
            P.append([U[i][0], U[i][1]])
    P.sort(key=lambda x: (x[0]-x[1], x[0], -x[1]))
    if L == 0 and R == 0 and len(P) == 0:
        print("Yes")
    elif (L == 0 or R == 0) and len(P) > 0:
        print("No")
    else:
        f = True
        for i in range(len(P)):
            L -= P[i][0]
            if L < 0:
                f = False
                break
            L += P[i][1]
        if L == R and f:
            print("Yes")
        else:
            print("No")

if __name__ == "__main__":
    main()

Solution (Python):
def determine_string_code(bracket_string):
  brackets_left = 0 
  brackets_right = 0 
  for char in bracket_string:
    if char == "(":
      brackets_right += 1
    else:
      if brackets_right > 0:
        brackets_right -= 1
      else:
        brackets_left += 1
  return (brackets_left, brackets_right)

def build_left(in_list):
  in_list.sort(key=lambda x: x[0])
  final_res = (0, 0)
  for res in in_list:
    if res[0]>final_res[1]:
      final_res = (final_res[0]+res[0]-final_res[1], res[1])
    elif res[0]<final_res[1]:
      final_res = (final_res[0], res[1]+final_res[1]-res[0])
    else:
      final_res = (final_res[0], res[1])
  return final_res

def build_right(in_list):
  in_list.sort(key=lambda x: x[1])
  final_res = (0, 0)
  for res in in_list:
    if final_res[0]>res[1]:
      final_res = (res[0]+final_res[0]-res[1], final_res[1])
    elif final_res[0]<res[1]:
      final_res = (res[0], final_res[1]+res[1]-final_res[0])
    else:
      final_res = (res[0], final_res[1])
  return final_res

n = int(input())
residues = list()
for _ in range(n):
  new_string = input()
  residues.append(determine_string_code(new_string))
first_half = list()
second_half = list()
for res in residues:
  if res[1] > res[0]:
    first_half.append(res)
  else:
    second_half.append(res)
first_res = build_left(first_half)
second_res = build_right(second_half)
if first_res[0] == 0 and second_res[1] == 0 and first_res[1] == second_res[0]:
  print("Yes")
else:
  print("No")

Solution (Python):
import bisect

n=int(input())
opens=0
closes=0
ls=[]
rs=[]
for _ in range(n):
  s=input()
  cnt1=0
  cnt2=0
  for i in range(len(s)):
    if s[i]=='(':
      cnt1+=1
    else:
      if cnt1==0:
        cnt2+=1
      else:
        cnt1-=1
  if cnt2==0:
    opens+=cnt1
  elif cnt1==0:
    closes+=cnt2
  else:
    ls.append(cnt2)
    rs.append(cnt1)
ls=sorted(ls)
rs=sorted(rs)
lefts=sum(ls)
rights=sum(rs)
if opens-closes!=lefts-rights:
  print('No')
else:
  flag=False
  if len(ls)==0:
    flag=True
  for a in ls:
    if opens<a or closes<a+(rights-lefts):
      continue
    pos=bisect.bisect_right(rs,a+(rights-lefts))
    if pos!=0:
      flag=True
      break
  for b in rs:
    if opens<b+(lefts-rights) or closes<b:
      continue
    pos=bisect.bisect_right(ls,b+(lefts-rights))
    if pos!=0:
      flag=True
      break
  if flag==True:
    print('Yes')
  else:
    print('No')

Solution (Python):
import bisect

n=int(input())
opens=0
closes=0
ls=[]
rs=[]
for _ in range(n):
  s=input()
  cnt1=0
  cnt2=0
  for i in range(len(s)):
    if s[i]=='(':
      cnt1+=1
    else:
      if cnt1==0:
        cnt2+=1
      else:
        cnt1-=1
  if cnt2==0:
    opens+=cnt1
  elif cnt1==0:
    closes+=cnt2
  else:
    ls.append(cnt2)
    rs.append(cnt1)
ls=sorted(ls)
rs=sorted(rs)
lefts=sum(ls)
rights=sum(rs)
if opens-closes!=lefts-rights:
  print('No')
else:
  flag=False
  if len(ls)==0:
    flag=True
  for a in ls:
    if opens<a or closes<a+(rights-lefts):
      continue
    pos=bisect.bisect_right(rs,a+(rights-lefts))
    if pos!=0:
      flag=True
      break
  for d in rs:
    if opens<d+(lefts-rights) or closes<d:
      continue
    pos=bisect.bisect_right(ls,d+(lefts-rights))
    if pos!=0:
      flag=True
      break
  if flag==True:
    print('Yes')
  else:
    print('No')

Solution (Python):
n=int(input())
arr1=[]
arr2=[]
for _ in range(n):
  s=input()
  cnt1=0
  cnt2=0
  for i in range(len(s)):
    if s[i]=='(':
      cnt1+=1
    else:
      if cnt1==0:
        cnt2+=1
      else:
        cnt1-=1
  if cnt1-cnt2>=0:
    arr1.append([cnt1,cnt2])
  else:
    arr2.append([cnt1,cnt2])
arr1=sorted(arr1,key=lambda x:x[1])
arr2=sorted(arr2,reverse=True,key=lambda x:x[0])
arr=arr1+arr2
cnt=0
for a,b in arr:
  if b>cnt:
    print('No')
    break
  else:
    cnt+=a-b
else:
  if cnt==0:
    print('Yes')
  else:
    print('No')

Solution (Python):
n = int(input())
left=[]
right=[]
for i in range(n):
    s = input()
    l = len(s)
    a=0
    b=0
    a1=0
    b1=0
    for j in range(l):
        if s[j]==')':
            a1+=1
        else:
            a1-=1
        a=max(a1,a)
    for j in range(l):
        if s[l-1-j]=='(':
            b1+=1
        else:
            b1-=1
        b = max(b1,b)
    if a>b:
        right.append((a,b))
    else:
        left.append((a,b))
right.sort(key = lambda x:x[1],reverse=True)
left.sort(key = lambda x:x[0])
all = left+right

if all[0][0]>0:
    print('No')
    exit()
st = all[0][1]
for i in range(1,n):
    st-=all[i][0]
    if st<0:
        print('No')
        exit()
    st+=all[i][1]
if st>0:
    print('No')
else:
    print('Yes')

Solution (Python):
import sys
input = sys.stdin.readline
 
n = int(input())
s = [input().strip() for _ in range(n)]
plus = []
minus = []
for i in s:
    min_v = 0
    sum_v = 0
    for j in i:
        sum_v += 1 if j == '(' else -1
        min_v = min(min_v, sum_v)
    if sum_v > 0:
        plus.append((min_v, sum_v))
    else:
        minus.append((min_v-sum_v, -sum_v))
 
plus.sort(key=lambda x:x[0], reverse=True)
minus.sort(key=lambda x:x[0], reverse=True)
 
sum_plus = 0
for min_v, sum_v in plus:
    if sum_plus + min_v < 0:
        print("No")
        exit()
    sum_plus += sum_v
 
sum_minus = 0
for min_v, sum_v in minus:
    if sum_minus + min_v < 0:
        print("No")
        exit()
    sum_minus += sum_v
 
if sum_plus == sum_minus:
    print("Yes")
else:
    print("No")

Solution (Python):







import sys
input = sys.stdin.readline

n = int(input())
s = [input().strip() for _ in range(n)]
plus = []
minus = []
for i in s:
    min_v = 0
    sum_v = 0
    for j in i:
        sum_v += 1 if j == '(' else -1
        min_v = min(min_v, sum_v)
    if sum_v > 0:
        plus.append((min_v, sum_v))
    else:
        minus.append((min_v-sum_v, -sum_v))

plus.sort(key=lambda x:x[0], reverse=True)
minus.sort(key=lambda x:x[0], reverse=True)

sum_plus = 0
for min_v, sum_v in plus:
    if sum_plus + min_v < 0:
        print("No")
        exit()
    sum_plus += sum_v

sum_minus = 0
for min_v, sum_v in minus:
    if sum_minus + min_v < 0:
        print("No")
        exit()
    sum_minus += sum_v

if sum_plus == sum_minus:
    print("Yes")
else:
    print("No")

Solution (Python):







n = int(input())
s = [input() for _ in range(n)]
plus = []
minus = []
for i in s:
    min_v = 0
    sum_v = 0
    for j in i:
        sum_v += 1 if j == '(' else -1
        min_v = min(min_v, sum_v)
    if sum_v > 0:
        plus.append((min_v, sum_v))
    else:
        minus.append((min_v-sum_v, -sum_v))

plus.sort(key=lambda x:x[0], reverse=True)
minus.sort(key=lambda x:x[0], reverse=True)

sum_plus = 0
for min_v, sum_v in plus:
    if sum_plus + min_v < 0:
        print("No")
        exit()
    sum_plus += sum_v

sum_minus = 0
for min_v, sum_v in minus:
    if sum_minus + min_v < 0:
        print("No")
        exit()
    sum_minus += sum_v

if sum_plus == sum_minus:
    print("Yes")
else:
    print("No")

Solution (Python):







n = int(input())
plus = []
minus = []
for i in range(n):
    min_v = 0
    sum_v = 0
    s = input()
    for j in s:
        sum_v += 1 if j == '(' else -1
        min_v = min(min_v, sum_v)
    if sum_v > 0:
        plus.append((min_v, sum_v))
    else:
        minus.append((min_v-sum_v, -sum_v))

plus.sort(key=lambda x:x[0], reverse=True)
minus.sort(key=lambda x:x[0], reverse=True)

sum_plus = 0
for min_v, sum_v in plus:
    if sum_plus + min_v < 0:
        print("No")
        exit()
    sum_plus += sum_v

sum_minus = 0
for min_v, sum_v in minus:
    if sum_minus + min_v < 0:
        print("No")
        exit()
    sum_minus += sum_v

if sum_plus == sum_minus:
    print("Yes")
else:
    print("No")

Solution (Python):


import sys, heapq
sys.setrecursionlimit(300000)

YES = "Yes"  
NO = "No"  

def solve(N: int, S: "List[str]"):
    tmp = []
    for i in range(N):
        cur = 0
        mn = 0
        for c in S[i]:
            if c == '(':
                cur += 1
            else:
                cur -= 1
                mn = min(mn, cur)
        tmp.append((mn, cur))

    tmp.sort(key=lambda x: (x[1] < 0, (-x[0] if x[1] >= 0 else -(x[1] - x[0]))))
    
    

    cur = 0
    for mn, cnt in tmp:
        
        if abs(mn) > cur:
            print(NO)
            return
        cur += cnt

    if cur == 0:
        ret = YES
    else:
        ret = NO
    print(ret)
    return

def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  
    S = [next(tokens) for _ in range(N)]  
    solve(N, S)

if __name__ == '__main__':
    main()

Solution (Python):
import sys
input = sys.stdin.readline
def main():
    N = int( input())
    S = [input().strip() for _ in range(N)]
    Up = []
    Down = []
    for s in S:
        now = 0
        m = 0
        for t in s:
            if t == "(":
                now += 1
            else:
                now -= 1
            if now < m:
                m = now
            
        if now >= 0:
            Up.append((m,now))
        else:
            Down.append((m-now,-now))
    up = 0
    Up.sort(reverse=True)
    for m, inc in Up:
        if up+m < 0:
            print("No")
            return
        up += inc
    
    down = 0
    Down.sort(reverse=True)
    
    for m, dec in Down:
        if down+m < 0:
            print("No")
            return
        down += dec
    if up != down:
        print("No")
        return
    print("Yes")
    
if __name__ == '__main__':
    main()

Solution (Python):
import sys
input = sys.stdin.readline

n=int(input())
s=[input().strip("\n") for _ in range(n)]
p=[];m=[]
for si in s:
    cnt=0;a=0;b=0
    for i in range(len(si)):
        if si[i]==")":
            cnt+=1
        else:
            cnt-=1
        a=max(a,cnt)
    cnt=0
    for i in range(len(si)-1,-1,-1):
        if si[i]=="(":
            cnt+=1
        else:
            cnt-=1
        b=max(b,cnt)
    if b-a>=0:
        p.append((a,si))
    else:
        m.append((-b,si))
p.sort();m.sort()
ss=""

for _,si in p:
    ss+=si
for _,si in m:
    ss+=si
cnt=0
for i in range(len(ss)):
    if ss[i]=="(":
        cnt+=1
    else:
        cnt-=1
    if cnt<0:
        print("No")
        exit()
if cnt:
    print("No")
else:
    print("Yes")

Solution (Python):

def main():
    import sys
    imput = sys.stdin.readline
    
    
    from collections import Counter
    import itertools
    N = int(input())

    dp = [[0, 0] for _ in range(N)]
    for i in range(N):
        S = str(input())
        T = []
        for s in S:
            if s == "(":
                T.append(1)
            else:
                T.append(-1)
        x = list(itertools.accumulate(T))[-1]
        y = min(itertools.accumulate(T))
        dp[i] = [x, y]


    
    dp1 = [[x, y] for x, y in dp if x >= 0]
    dp2 = [[x, y] for x, y in dp if x < 0]
    dp1 = sorted(dp1, key = lambda x:x[1], reverse = True)
    dp2 = sorted(dp2, key = lambda x:x[0]-x[1], reverse = True)
    dp = dp1 + dp2

    checker = 0
    for p in dp:
        if checker + p[1] < 0:
            print("No")
            exit()
        checker += p[0]

    if checker == 0:
        print("Yes")
    else:
        print("No")

if __name__ == "__main__":
    main()

Solution (Python):
from itertools import chain

N = int(input())
zenhan = []
kouhan = []
for _ in range(N):
    si = input()
    last = 0
    low = last
    high = last
    for s in si:
        if s == "(":
            last += 1
        else:
            last -= 1
        low = min(low, last)
        high = max(high, last)
    if last >= 0:
        zenhan.append((-low, last, low))
    else:
        kouhan.append((low - last, last, low))
zenhan.sort()
kouhan.sort()

open_close = 0
for key, last, low in chain(zenhan, kouhan):
    if open_close + low < 0:
        ans = "No"
        break
    else:
        open_close += last
else:
    if open_close:
        ans = "No"
    else:
        ans = "Yes"
print(ans)

Solution (Python):
N = int(input())
S = [input() for i in range(N)]

LR = []
for s in S:
    left, right = 0, 0
    for ss in s:
        if ss == "(":
            left += 1
        else:
            if left:
                left -= 1
            else:
                right += 1
    LR.append([left, right])


plus = []
minus = []
for l, r in LR:
    if l >= r:
        plus.append([l, r])
    else:
        minus.append([l, r])
        
plus.sort(key = lambda x: x[1])
minus.sort(key = lambda x: -x[0])

cnt = 0
for l, r in plus + minus:
    cnt -= r
    if cnt < 0:
        print("No")
        exit()
    cnt += l
        
if cnt == 0:
    print("Yes")
else:
    print("No")

Solution (Python):
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
import bisect
import random
from itertools import permutations, accumulate, combinations, product
import sys
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor, cos, radians, pi, sin
from operator import mul
from functools import reduce
from operator import mul


sys.setrecursionlimit(2147483647)
INF = 10 ** 13
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def I(): return int(sys.stdin.buffer.readline())
def LS(): return sys.stdin.buffer.readline().rstrip().decode('utf-8').split()
def S(): return sys.stdin.buffer.readline().rstrip().decode('utf-8')
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
def SRL(n): return [list(S()) for i in range(n)]
def MSRL(n): return [[int(j) for j in list(S())] for i in range(n)]

n = I()
A = []
B = []
for _ in range(n):
    s = S()
    ret = 0
    ret2 = 0
    for i in s:
        if ret and i == ')':
            ret -= 1
        elif i == '(':
            ret += 1
        else:
            ret2 += 1
    if ret2 > ret:
        A += [(ret, ret2)]
    else:
        B += [(ret, ret2)]

A.sort()
B.sort(key=lambda x:x[1], reverse=True)
L = A + B
now = 0
for x, y in L:
    if x > now:
        print('No')
        exit()
    now = now - x + y

if now:
    print('No')
else:
    print('Yes')

Solution (Python):

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


T = []
for s in S:
    while '()' in s:
        s = s.replace('()', '')
    T.append(s)

l1 = []
l2 = []
for t in T:
    op = t.find('(')
    if op < 0:
        op = len(t)
    cl = len(t) - op
    
    if cl+op != 0:
        if cl <= op:
            l1.append((cl, op))
        else:
            l2.append((op, cl))

l1.sort()
l2.sort(reverse=True)

result = False
x = 0
if len(l1)+len(l2) == 0:
    result = True
elif len(l1)>0 and len(l2)>0 and l1[0][0]+l2[-1][0] == 0:
    for cl, op in l1:
        x -= cl
        if x < 0:
            break
        x += op
    
    if x >= 0:
        for op, cl in l2:
            x -= cl
            if x < 0:
                break
            x += op
            
        if x == 0:
            result = True


print("Yes" if result else "No")

Solution (Python):
N = int(input())
if N == 1:
    st = 0
    S = input()
    for x in S:
        if x == '(':
            st += 1
        else:
            if st > 0:
                st -= 1
            else:
                print('No')
                exit()
    if st == 0:
        print('Yes')
    else:
        print('No')
    exit()
lst1, lst2 = [], []
flg, mr = 0, 10**9
for i in range(N):
    S = input()
    st, r, rall = 0, 0, 0
    for c in S:
        if c == '(':
            st += 1
        else:
            rall += 1
            if st > 0:
                st -= 1
            else:
                r += 1
    pls = max(0, len(S)-rall-(rall-r))
    if pls >= r:
        lst1.append((r, -pls))
    else:
        lst2.append((-pls, r))
lst1.sort()
lst2.sort()
if lst1[0][0] != 0:
    print('No')
    exit()
lcnt = -lst1[0][1]
for (r, pls) in lst1[1:]:
    lcnt -= r
    if lcnt < 0:
        print('No')
        exit()
    lcnt -= pls
for (pls, r) in lst2:
    lcnt -= r
    if lcnt < 0:
        print('No')
        exit()
    lcnt -= pls
if lcnt == 0:
    print('Yes')
else:
    print('No')

Solution (Python):
N = int(input())
As = []
Bs = []

for _ in range(N):
  c = 0
  m = 0
  for s in input():
    if s == '(':
      c += 1
    elif s == ')':
      c -= 1
    m = min(m, c)
  if c >= 0:
    As.append((-m, c - m))
  else:
    Bs.append((-m, c - m))

As.sort(key=lambda x: x[0])
Bs.sort(key=lambda x: x[1], reverse=True)

f = True
c = 0
for (l, r) in As:
  if c < l:
    f = False
    break
  c += r - l
if f:
  for (l, r) in Bs:
    if c < l:
      f = False
      break
    c += r - l

f = f and (c == 0)

if f:
  print('Yes')
else:
  print('No')

Solution (Python):
n = int(input())
ss=[list(map(str,input().split())) for i in range(n)]
zenhan=[]
kouhan=[]

for i in range(n):
    retu = list(ss[i])[0]
    acnt=0
    bcnt=0
    for j in range(len(retu)):
        if retu[j] == "(":
            acnt+=1
        elif acnt>0:
            acnt-=1
    a=acnt

    acnt=0
    bcnt=0
    for j in reversed(range(len(retu))):
        if retu[j] == ")":
            bcnt+=1
        elif bcnt>0:
            bcnt-=1
    b=bcnt

    if a!=0 or b!=0:
        if a < b:
            kouhan.append([a,b,retu])
        else:
            zenhan.append([a,b,retu])

zenhan.sort(key=lambda x:x[1])
kouhan.sort(reverse=True)
cnt=0
for tmp in zenhan:
    retu=tmp[2]
    for i in range(len(retu)):
        if retu[i] == "(":
            cnt+=1
        else:
            cnt-=1
        if cnt<0:
            print("No")
            exit()

for tmp in kouhan:
    retu=tmp[2]
    for i in range(len(retu)):
        if retu[i] == "(":
            cnt+=1
        else:
            cnt-=1
        if cnt<0:
            print("No")
            exit()
if cnt!=0:
    print("No")
else:
    print("Yes")

Solution (Python):
N = int(input())
S_s = [input() for _ in range(N)]
S_data1 = []
S_data2 = []
for S in S_s:
    life = 0
    A=0
    for c in S:
        if c == '(':
            life += 1
        else:
            if life > 0:
                life -= 1
            else:
                A += 1
    if(A<life):
        S_data1.append(tuple([A,life]))
    else:
        S_data2.append(tuple([A,life]))
S_data1.sort()
S_data2 = sorted(S_data2, key=lambda x:-x[1])
S_data1.extend(S_data2)
S_data = tuple(S_data1)
life = 0
answer = True
for S_datum in S_data:
    life -= S_datum[0]
    if life < 0:
        answer = False
        break
    life += S_datum[1]
else:
    if life != 0:
        answer = False

if answer:
    print("Yes")
else:
    print("No")

Solution (Python):




import bisect

def main():
    N = int(input())
    SS = []
    for _ in range(N):
        SS.append(input())
    S = []
    for s in SS:
        while '()' in s:
            s = s.replace('()', '')
        S.append(s)
    
    S = [s for s in S if s != '']
    sum_op = 0
    sum_cl = 0
    S_both_op = []
    S_both_cl = []
    for s in S:
        if not ')' in s:
            sum_op += len(s)
        elif not '(' in s:
            sum_cl += len(s)
        else:
            pos = s.find('(')
            if pos <= len(s) - pos:
                S_both_op.append((pos, len(s)-pos))  
            else:
                S_both_cl.append((pos, len(s)-pos))  

    
    
    
    S_both_op.sort(key=lambda x: x[0])
    S_both_cl.sort(key=lambda x: -x[1])

    for p in S_both_op:
        sum_op -= p[0]
        if(sum_op < 0 ):
            print('No')
            exit()
        sum_op += p[1]

    for p in S_both_cl:
        sum_op -= p[0]
        if(sum_op < 0 ):
            print('No')
            exit()
        sum_op += p[1]
    
    if sum_op == sum_cl:
        print('Yes')
    else:
        print('No')

if __name__ == "__main__":
    main()