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):
n = int(input())
l = 0
r = 0
cntl = 0
cntr = 0
fl = 0
fr = 0
exl = 0
exr = 0
only_r = 0
only_l = 0
maxl = 0
maxr = 0
exlr = []
for i in range(n):
    s = input()
    templ = 0
    tempr = 0
    temp_exl = 0
    temp_exr = 0
    fl = 0
    fr = 0
    for i in s:
        if i == "(":
            tempr += 1
        elif i == ")":
            tempr -= 1
            if tempr < 0:
                tempr = 0
                templ += 1
                fl = 1
    temp_exl += templ
    if tempr > 0:
        temp_exr += tempr
        fr = 1
    if fl == 1 and fr == 0:
        only_l += temp_exl
    elif fr == 1 and fl == 0:
        only_r += temp_exr
    elif temp_exl + temp_exr > 0:
        exl += temp_exl
        exr += temp_exr
        exlr.append([temp_exl-temp_exr, temp_exl,temp_exr])
    
    

a = only_r
b = only_l
exlr.sort()



for i in range(len(exlr)):
    if exlr[i][1] <= a and exlr[i][0] <= 0:
        a -= exlr[i][0]
        exlr[i] = [0,0,0]

for i in exlr:
    a -= i[1]
    if a<0:
        print("No")
        exit()
    a += i[2]
if a-b == 0:
    print("Yes")
else:
    print("No")

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

memo1 = []
memo2 = []
memo3 = []
memo4 = []
for i in range(N):
  S = input()
  sum_n = sum([1 if s=='(' else -1 for s in S])
  if sum_n >= 0:
    sum_n = 0
    min_n = 1
    for s in S:
      if s == ')':
        sum_n -= 1
        min_n = min(min_n, sum_n)
      else:
        sum_n += 1
    if min_n >= 0:
      memo1.append([min_n, sum_n])
    else:
      memo2.append([min_n, sum_n])
  else:
    sum_n = 0
    min_n = 1
    for s in S[::-1]:
      if s == '(':
        sum_n -= 1
        min_n = min(min_n, sum_n)
      else:
        sum_n += 1
    if min_n >= 0:
      memo4.append([min_n, sum_n])
    else:
      memo3.append([min_n, sum_n])

left = 0
for min_n, sum_n in memo1:
  left += sum_n

memo2.sort(reverse=True)
for min_n, sum_n in memo2:
  if left + min_n < 0:
    print('No')
    quit()
  else:
    left += sum_n

right = 0
for min_n, sum_n in memo4:
  right += sum_n

memo3.sort(reverse=True)
for min_n, sum_n in memo3:
  if right + min_n < 0:
    print('No')
    quit()
  else:
    right += sum_n

if left == right:
  print('Yes')
else:
  print('No')

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

memo1 = []
memo2 = []
for i in range(N):
  S = input()
  sum_n = min_n = 0
  for s in S:
    if s == ')':
      sum_n -= 1
      min_n = min(min_n, sum_n)
    else:
      sum_n += 1
  if sum_n >= 0:
    memo1.append([min_n, sum_n])
  else:
    memo2.append([min_n-sum_n, -sum_n])

memo1.sort(reverse=True)
left = 0
for min_n, sum_n in memo1:
  if left + min_n < 0:
    print('No')
    quit()
  else:
    left += sum_n

memo2.sort(reverse=True)
right = 0
for min_n, sum_n in memo2:
  if right + min_n < 0:
    print('No')
    quit()
  else:
    right += sum_n

if left == right:
  print('Yes')
else:
  print('No')

Solution (Python):
n = int(input())
left = []
midplus = []
midzero = []
midminus = []
right = []
L = []
R = []

for i in range(n):
    s = input()
    l = 0
    r = 0
    for x in s:
        if x == '(':
            l += 1
        else:
            if l > 0:
                l -= 1
            else:
                r += 1
    if l > 0 and r == 0:
        left.append((l, r))
    elif l > 0 and r > 0:
        if l > r:
            midplus.append((r, l))  
        elif l == r:
            midzero.append((r,l))
        else:
            midminus.append((r, l))
    elif l == 0 and r > 0:
        right.append((l, r))
    L.append(l)
    R.append(r)

if sum(L) != sum(R):
    print('No')
    exit()

A = 0
B = 0
for x in left:
    A += x[0]
for x in right:
    B += x[1]

midplus = sorted(midplus, key=lambda x: (x[0], -x[1]))
midminus = sorted(midminus, key=lambda x: -x[1])
mid = midplus + midzero + midminus

l = A
r = 0
for a, b in mid:
    if l < a:
        print('No')
        exit()
    l -= a
    l += b

print('Yes')

Solution (Python):

from collections import defaultdict, deque
from heapq import heappush, heappop
from itertools import permutations, accumulate
import sys
import math
import bisect
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS():return [list(x) for x in sys.stdin.readline().split()]
def S():
    res = list(sys.stdin.readline())
    if res[-1] == "\n":
        return res[:-1]
    return res
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)]

sys.setrecursionlimit(1000000)
mod = 1000000007

def solve():
    n = I()
    a = [input() for i in range(n)]
    sp,sm = [],[]
    for i in range(n):
        p = 0
        m = 0
        for j in a[i]:
            if j == "(":
                p += 1
            else:
                p -= 1
            if p < m:
                m = p
        if p > 0:
            sp.append((m,p))
        else:
            sm.append((m,p))
    sp.sort(reverse = True)
    sm.sort(key = lambda x:x[0]-x[1])
    k = 0
    for m,p in sp:
        if k+m < 0:
            print("No")
            return
        k += p
    for m,p in sm:
        if k+m < 0:
            print("No")
            return
        k += p
    if k != 0:
        print("No")
    else:
        print("Yes")
    return


if __name__ == "__main__":
    solve()

Solution (Python):
n = int(input())
left = []
mid = []
zero = []
midminus = []
right = []
L = []
R = []

for i in range(n):
    s = input()
    l = 0
    r = 0
    for x in s:
        if x == '(':
            l += 1
        else:
            if l > 0:
                l -= 1
            else:
                r += 1
    if l > 0 and r == 0:
        left.append((l, r))
    elif l > 0 and r > 0:
        if l > r:
            mid.append((r, l))  
        elif l == r:
            zero.append((r,l))
        else:
            midminus.append((r, l))
    elif l == 0 and r > 0:
        right.append((l, r))
    L.append(l)
    R.append(r)

if sum(L) != sum(R):
    print('No')
    exit()

A = 0
B = 0
for x in left:
    A += x[0]
for x in right:
    B += x[1]

mid = sorted(mid, key=lambda x: (x[0], -x[1]))
midminus = sorted(midminus, key=lambda x: -x[1])
mid += zero + midminus

l = A
r = 0
for a, b in mid:
    if l < a:
        print('No')
        exit()
    l -= a
    l += b

print('Yes')

Solution (Python):
import sys
from collections import deque
def input():
    return sys.stdin.readline().strip()

tozan = []
gezan = []

def check():
    s = input()
    m = 0
    res = 0
    for i in s:
        if i == "(":
            m += 1 
        else:
            m -= 1
            res = min(res,m)
    if m >= 0:
        tozan.append([res,m])
    else:
        gezan.append([res-m,res,m])

N = int(input())
for _ in range(N):
    check()

tozan.sort(reverse=True)
gezan.sort()

b = 0

for res,m in tozan:
    if b + res < 0:
        print("No")
        exit()
    b += m

for _,res,m in gezan:
    if b + res < 0:
        print("No")
        exit()
    b += m

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

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF = 1 << 60
MOD = 10**9 + 7 
input = lambda:sys.stdin.readline().rstrip()
from functools import cmp_to_key
def resolve():
    n = int(input())
    positive, negative = [], []
    for _ in range(n):
        balance = min_balance = 0
        for c in input():
            if c == '(':
                balance += 1
            else:
                balance -= 1
            min_balance = min(min_balance, balance)
        if balance > 0:
            positive.append((min_balance, balance))
        else:
            negative.append((min_balance, balance))


    now = 0
    
    positive.sort(reverse = 1)
    for min_balance, balance in positive:
        if now + min_balance < 0:
            print("No")
            return
        now += balance

    
    def cmp(s1, s2):
        m1, b1 = s1
        m2, b2 = s2
        return -1 if min(m1, b1 + m2) > min(m2, b2 + m1) else 1

    negative.sort(key = cmp_to_key(cmp))
    for min_balance, balance in negative:
        if now + min_balance < 0:
            print("No")
            return
        now += balance

    print("Yes" if now == 0 else "No")
resolve()

Solution (Python):
n = int(input())
s = [input() for i in range(n)]
ruiseki = [[None] * (len(s[i]) + 1) for i in range(n)]

for i in range(n):
    ruiseki[i][0] = 0
    for j, char in enumerate(s[i]):
        if char == "(":
            ruiseki[i][j + 1] = ruiseki[i][j] + 1
        else:
            ruiseki[i][j + 1] = ruiseki[i][j] - 1


first = []
second = []
now_m = 0
now_s = 0
for i in range(n):
    min_, sum_ = min(ruiseki[i]), ruiseki[i][-1]
    if sum_ > 0:
        first.append((min_, sum_))
    else:
        second.append((min_, sum_))

now_m = 0
now_s = 0

first = sorted(first, reverse=True)
for mi, su in first:
    if now_s + mi < 0:
        print("No")
        exit()
    now_s += su

second = sorted(second, key=lambda x: x[0] - x[1])
for mi, su in second:
    if now_s + mi < 0:
        print("No")
        exit()
    now_s += su

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

Solution (Python):
n = int(input())
s = []
for i in range(n):
    a = input()
    b = []
    for j in range(len(a)):
        if a[j]=='(':
            b.append(1)
        else:
            b.append(-1)
    s.append(b)

l = []
r = []
for x in s:
    b = 0
    c = 0
    for y in x:
        c+=y
        b = min(b,c)
    z = len(x)
    d = 0
    e = 0
    for j in range(z):
        e += x[z-j-1]
        d = max(d,e)
    if c>0:
        l.append([b,c])
    else:
        r.append([d,c])
l.sort(reverse=True)
r.sort()

flag = 1
x = 0
for b,c in l:
    if x+b<0:
        flag = 0
    x += c

y = 0
for d,c in r:
    if y+d>0:
        flag = 0
    y += c

if y+x!=0:
    flag = 0
print('Yes' if flag else'No')

Solution (Python):

import sys

buff_readline = sys.stdin.buffer.readline
readline = sys.stdin.readline

INF = 2**62-1


def read_int():
    return int(buff_readline())


def read_int_n():
    return list(map(int, buff_readline().split()))


def read_float():
    return float(buff_readline())


def read_float_n():
    return list(map(float, buff_readline().split()))


def read_str():
    return readline().strip()


def read_str_n():
    return readline().strip().split()

def error_print(*args):
    print(*args, file=sys.stderr)


def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()

        error_print(e - s, 'sec')
        return ret

    return wrap


@mt
def slv(N, S):
    b = []
    for s in S:
        bottom = 0
        cur = 0
        for c in s:
            if c == '(':
                cur += 1
            else:
                cur -= 1
            bottom = min(bottom, cur)
        b.append((bottom, cur))

    bp = [_ for _ in b if _[1] > 0]
    bn = [_ for _ in b if _[1] <= 0]
    bp.sort(key=lambda x: x[0], reverse=True)
    bn.sort(key=lambda x: x[1]-x[0], reverse=True)

    cur = 0
    for bt, ct in bp:
        if cur + bt < 0:
            return 'No'
        cur += ct

    for bt, ct in bn:
        if cur + bt < 0:
            return 'No'
        cur += ct

    if cur != 0:
        return 'No'
    return 'Yes'



def main():
    N = read_int()
    S = [read_str() for _ in range(N)]
    print(slv(N, S))


if __name__ == '__main__':
    main()

Solution (Python):
import sys
n = int(input())
ss =[]
for _ in range(n):
    ss.append(input())
cnt_p = []
cnt_m = []
for i in range(n):
    left = 0
    right = 0
    for s in ss[i]:
        if(s == '('):
            left += 1
        elif(s == ')'):
            if(left > 0):
                left -= 1
            else:
                right += 1
    if(left-right > 0):
        cnt_p.append((right,left))
    else:
        cnt_m.append((right,left))
 
 
cnt_p = sorted(cnt_p, key=lambda x: (x[0]))
cnt_m = sorted(cnt_m, key=lambda x: (x[1]*-1))
cnt = cnt_p + cnt_m
num = 0
for right,left in cnt:
    num -= right
    if(num < 0):
        print('No')
        sys.exit()
    num += left
if(num==0):
    print('Yes')
else:
    print('No')

Solution (Python):
import sys
n = int(input())
si = []
for _ in range(n):
    s = input()
    l = 0
    r = 0
    count = 0
    for i in range(len(s)):
        if s[i] == "(":
            count += 1
        else:
            count = max(0, count-1)
    l = count
    count = 0
    for i in range(len(s)-1, -1, -1):
        if s[i] == ")":
            count += 1
        else:
            count = max(0, count-1)
    r = count
    si.append((l, r))

minus = []
plus = []
while si:
    a, b = si.pop()
    if a <= b:
        plus.append((a, b))
    else:
        minus.append((b, a))

plus.sort()
minus.sort()
countl = 0
for a, b in plus:
    if countl >= a:
        countl += b-a
    else:
        print("No")
        sys.exit()

countr = 0
for a, b in minus:
    if countr >= a:
        countr += b-a
    else:
        print("No")
        sys.exit()


if countr == countl:
    print("Yes")
else:
    print("No")

Solution (Python):
import sys
from collections import deque
def input():
    return sys.stdin.readline().strip()

tozan = []
gezan = []

def check():
    s = input()
    m = 0
    res = 0
    for i in s:
        if i == "(":
            m += 1 
        else:
            m -= 1
            res = min(res,m)
    if m >= 0:
        tozan.append([res,m])
    else:
        gezan.append([res-m,-m])

N = int(input())
for _ in range(N):
    check()

tozan.sort(reverse=True)
gezan.sort(reverse=True)

t = 0
g = 0

for res,m in tozan:
    if t + res < 0:
        print("No")
        exit()
    t += m

for res,m in gezan:
    if g + res < 0:
        print("No")
        exit()
    g += m

if t == g:
    print("Yes")
else:
    print("No")

Solution (Python):

N = int(input())
AllMinPlus = []
AllMinMinus = []
AllMinZero = []
for n in range(N):
    S = input()
    minkakko = 10000000
    cur = 0
    for s in S:
        if s == "(":
            cur += 1
        else:
            cur -= 1
        minkakko = min(minkakko,cur)
    if cur >= 0:
        AllMinPlus.append((cur,minkakko))
    elif cur == 0:
        AllMinZero.append((cur,minkakko))
    else:
        AllMinMinus.append((cur,minkakko))
AllMinPlus.sort(key = lambda x:x[1],reverse=True)
AllMinMinus.sort(key = lambda x:x[0]-x[1],reverse=True)
AllMin = AllMinPlus + AllMinZero + AllMinMinus

if sum([x[0] for x in AllMin]) == 0:
    pos = 0
    for a,m in AllMin:
        if pos < -m:
            print("No")
            exit()
        pos += a
        if pos < 0:
            print("No")
            exit()        
    
    
    print("Yes")
else:
    print("No")

Solution (Python):
n = int(input())
s = [0] * n
inc = []
zeros = []
dec = []

for i in range(n):
    s[i] = input()
    start = 0
    minimum = 0
    now = 0
    for c in s[i]:
        if c == '(':now += 1
        else: now -= 1
        minimum = min(minimum, now)
    end = now
    
    if end == 0:
        zeros.append((minimum, i))
    elif start < end:
        inc.append((minimum, i))
    else:
        minimum = minimum - end
        dec.append((minimum, i))

inc.sort(reverse=True)
dec.sort()


now = 0
for (m, i) in inc:
    for c in s[i]:
        if c == '(':now += 1
        else: now -= 1
        if now < 0:
            print("No")
            exit()
        
for (m, i) in zeros:
    for c in s[i]:
        if c == '(':now += 1
        else: now -= 1
        if now < 0:
            print("No")
            exit()

for (m, i) in dec:
    for c in s[i]:
        if c == '(':now += 1
        else: now -= 1
        if now < 0:
            print("No")
            exit()

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

Solution (Python):
from heapq import *
import sys

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def SI(): return sys.stdin.readline()[:-1]

def main():
    n=II()
    ss=[SI() for _ in range(n)]
    ms1=[]
    ms2=[]
    for s in ss:
        mn=0
        now=0
        for c in s:
            if c=="(":now+=1
            else:now-=1
            if now<mn:mn=now
        if now>0:ms1.append((mn,now))
        else:ms2.append((mn-now,-now))
    
    

    cnt=0
    for mn,s in sorted(ms1,reverse=True):
        if cnt+mn<0:
            print("No")
            exit()
        cnt+=s

    cnt2=0
    for mn,s in sorted(ms2,reverse=True):
        if cnt2+mn<0:
            print("No")
            exit()
        cnt2+=s

    if cnt==cnt2:print("Yes")
    else:print("No")

main()

Solution (Python):
N = int(input())
s = [input() for i in range(N)]
S = [[0]*len(s[i]) for i in range(N)]
for i, x in enumerate(s):
    res = []
    q = 0
    for j in range(len(x)):
        if x[j] == ')':
            S[i][j] = -1
        else:
            S[i][j] = 1
s = [0]*N
m = [len(S[i]) for i in range(N)]
for i, x in enumerate(S):
    tmp = 0
    for j in range(len(x)):
        tmp += S[i][j]
        m[i] = min(tmp, m[i])
    s[i] = tmp

if sum(s) == 0:
    sp = [(m[i], s[i]) for i in range(N) if s[i] > 0]
    mp = [(-(s[i]-m[i]), -s[i]) for i in range(N) if s[i] <= 0]
    sp.sort(key=lambda x: x[0], reverse=True)
    tmp = 0
    for x, y in sp:
        if tmp + x < 0:
            print("No")
            exit(0)
        tmp += y
    mp.sort(key=lambda x: x[0], reverse=True)
    tmp2 = 0
    for x, y in mp:
        if tmp2 + x < 0:
            print("No")
            exit(0)
        tmp2 += y
    print("Yes")

else:
    print("No")

Solution (Python):
def main():
    import sys
    input = sys.stdin.readline
    N = int(input())
    plus = []
    minus = []
    total = 0
    for _ in range(N):
        s = input().strip()
        h = 0
        bottom = 0
        for ss in s:
            if ss == "(":
                h += 1
            else:
                h -= 1
                bottom = min(bottom, h)
        total += h
        if h > 0:
            plus.append((bottom, h))
        else:
            minus.append((bottom-h, -h))
    if total != 0:
        print("No")
        sys.exit()
    plus.sort(reverse=True)
    minus.sort(reverse=True)
    height = 0
    for b, h in plus:
        if height + b < 0:
            print("No")
            sys.exit()
        height += h
    height = 0
    for b, h in minus:
        if height + b < 0:
            print("No")
            sys.exit()
        height += h
    print("Yes")
        


if __name__ == '__main__':
    main()

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF = 1 << 60
MOD = 10**9 + 7 
input = lambda:sys.stdin.readline().rstrip()
from functools import cmp_to_key
def resolve():
    n = int(input())
    first, second, third = [], [], []
    for _ in range(n):
        balance = min_balance = 0
        for c in input():
            if c == '(':
                balance += 1
            else:
                balance -= 1
            min_balance = min(min_balance, balance)
        if min_balance == 0:
            first.append((min_balance, balance))
        elif balance > 0:
            second.append((min_balance, balance))
        else:
            third.append((min_balance, balance))

    now = 0
    
    for min_balance, balance in first:
        now += balance

    
    second.sort(reverse = 1)
    for min_balance, balance in second:
        if now + min_balance < 0:
            print("No")
            return
        now += balance

    
    def cmp(s1, s2):
        m1, b1 = s1
        m2, b2 = s2
        return -1 if min(m1, b1 + m2) > min(m2, b2 + m1) else 1

    third.sort(key = cmp_to_key(cmp))
    for min_balance, balance in third:
        if now + min_balance < 0:
            print("No")
            return
        now += balance

    print("Yes" if now == 0 else "No")
resolve()

Solution (Python):
import math
import fractions



def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    
    return divisors

def ValueToBits(x,digit):
    res = [0 for i in range(digit)]
    now = x
    for i in range(digit):
        res[i]=now%2
        now = now >> 1
    return res

def BitsToValue(arr):
    n = len(arr)
    ans = 0
    for i in range(n):
        ans+= arr[i] * 2**i
    return ans

def ZipArray(a):
    aa = [[a[i],i]for i in range(n)]

    aa.sort(key = lambda x : x[0])
    for i in range(n):
        aa[i][0]=i+1
    aa.sort(key = lambda x : x[1])
    b=[aa[i][0] for i in range(len(a))]
    return b

def ValueToArray10(x, digit):
    ans = [0 for i in range(digit)]
    now = x
    for i in range(digit):
        ans[digit-i-1] = now%10
        now = now //10
    return ans

def Zeros(a,b):
    if(b<=-1):
        return [0 for i in range(a)]
    else:
        return [[0 for i in range(b)] for i in range(a)]

class Bit:
    def __init__(self, n):
        self.size = n
        self.tree = [0] * (n + 1)
 
    def sum(self, i):
        s = 0
        while i > 0:
            s += self.tree[i]
            i -= i & -i
        return s
 
    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i
            
'''
def cmb(n, r, p):
    if (r < 0) or (n < r):
        return 0
    r = min(r, n - r)
    return fact[n] * factinv[r] * factinv[n-r] % p

p = 2
N = 10 ** 6 + 2
fact = [1, 1]  
factinv = [1, 1]  
inv = [0, 1]  

for i in range(2, N + 1):
    fact.append((fact[-1] * i) % p)
    inv.append((-inv[p % i] * (p // i)) % p)
    factinv.append((factinv[-1] * inv[-1]) % p)

'''










n = int(input())

lr = []

for i in range(n):
    s = input()
    m = len(s)
    
    count = 0
    left = 0
    for j in range(m):
        if(s[j]=='('):
            count += 1
        else:
            if(count == 0):
                left+=1
            else:
                count -=1
    
    count = 0
    right = 0
    for j in range(m):
        if(s[m-j-1]==')'):
            count += 1
        else:
            if(count == 0):
                right+=1
            else:
                count -=1

    
    lr.append([left,right])

existL = 0
existR = 0
sumL = 0
sumR = 0
for i in range(n):
    sumL += lr[i][0]
    sumR += lr[i][1]
    if(lr[i][0]==0 and lr[i][1]!=0):
        existL=1
        
    if(lr[i][1]==0 and lr[i][0]!=0):
        existR=1
        
lr2 = []
for i in range(n):
    if(lr[i][0]==0): lr2.append(lr[i])
lr3 = []
for i in range(n):
    if(lr[i][0]*lr[i][1]!=0): lr3.append(lr[i])
lr3.sort(key = lambda x : x[0]-x[1])
for i in lr3:
    lr2.append(i)
for i in range(n):
    if(lr[i][1]==0): lr2.append(lr[i])


ok = 1
now = 0
for i in range(n):
    now -= lr2[i][0]
    if(now<0):
        ok = 0
        
    now += lr2[i][1]
    
if(existL*existR == 1 and sumL == sumR and ok==1):
    print("Yes")
else:
    if(sumL==0 and sumR==0):
        print("Yes")
    else:
        print("No")

Solution (Python):
N = int(input())
S = [input() for _ in range(N)]
B1 = []
B2 = []
for s in S:
    ncl = nop = 0
    for c in s:
        if c=='(':
            nop+=1
        else:
            if nop>0: nop-=1
            else: ncl+=1

    if nop-ncl>=0:
        B1.append((nop, ncl))
    else:
        B2.append((nop, ncl))


    
Bl = sorted(B1, key=lambda x:x[1])
Br = sorted(B2, key=lambda x:x[0])

xl = 0
for nop, ncl in Bl:
    if ncl>xl:
        print('No')
        exit()
    xl+=nop-ncl

xr = 0
for nop, ncl in Br:
    if nop>xr:
        print('No')
        exit()
    xr+=ncl-nop

print('Yes' if xl==xr else 'No')

Solution (Python):


N = int(input())
ls = [] 
rs = [] 

tot = 0
for i in range(N):
    s = input()
    h = 0
    b = 0
    for c in s:
        if c == "(":
            h += 1
        else:
            h -= 1
        b = min(b, h)
    if h >= 0:
        
        ls.append([b, h])
    else:
        
        
        rs.append([b-h, -h])
    tot += h

ls.sort(key = lambda x:x[0], reverse=True)
rs.sort(key = lambda x:x[0], reverse=True)

def check(s):
    h = 0
    for p in s:
        if h+p[0] < 0:
            return False
        h += p[1]
    return True

if check(ls) and check(rs) and tot == 0:
    print("Yes")
else:
    print("No")

Solution (Python):
import sys
n = int(input())
si = []
for _ in range(n):
    s = input()
    l = 0
    r = 0
    count = 0
    for i in range(len(s)):
        if s[i] == "(":
            count += 1
        else:
            count = max(0, count-1)
    l = count
    count = 0
    for i in range(len(s)-1, -1, -1):
        if s[i] == ")":
            count += 1
        else:
            count = max(0, count-1)
    r = count
    si.append((l, r))

if len(si) == 1:
    if si[0] == (0, 0):
        print("Yes")
        sys.exit()

index_l = -1
index_r = -1
maxi_l = 0
maxi_r = 0
for i in range(n):
    a, b = si[i]
    if a == 0:
        if maxi_l < b:
            maxi_l = b
            index_l = i
    if b == 0:
        if maxi_r < a:
            maxi_r = a
            index_r = i


count = 0
if index_r < index_l:
    count += si.pop(index_l)[1]
    last = si.pop(index_r)
else:
    last = si.pop(index_r)
    count += si.pop(index_l)[1]

minus = []
plus = []
while si:
    a, b = si.pop()
    if a <= b:
        plus.append((a, b))
    else:
        minus.append((a, b))

plus.sort()
minus.sort(reverse = True, key = lambda x: x[1])

for a, b in plus:
    if count >= a:
        count += b-a
    else:
        print("No")
        sys.exit()

for a, b in minus:
    if count >= a:
        count += b-a
    else:
        print("No")
        sys.exit()

count -= last[0]

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

Solution (Python):
def check(pt, brackets):
    brackets.sort(reverse=True)
    for m, t in brackets:
        if pt + m < 0:
            return -1
        pt += t
    return pt


n = int(input())
brackets_p = []  
brackets_m = []
pt = 0
mt = 0
for _ in range(n):
    s = input()
    total = 0
    mini = 0
    for c in s:
        if c == '(':
            total += 1
        else:
            total -= 1
            mini = min(mini, total)

    if total >= 0:
        if mini == 0:
            pt += total
        else:
            brackets_p.append((mini, total))
    else:
        total, mini = -total, mini - total
        if mini == 0:
            mt += total
        else:
            brackets_m.append((mini, total))

pt = check(pt, brackets_p)
mt = check(mt, brackets_m)

if (pt == -1) or (mt == -1) or (pt != mt):
    print('No')
else:
    print('Yes')

Solution (Python):
N, = map(int, input().split())
import sys;input=sys.stdin.readline
X = []
Y = []
for _ in range(N):
    s = input().strip()
    a, b = 0, 0
    for c in s:
        if c == "(":
            a += 1
        else:
            if a > 0:
                a -= 1
            else:
                b += 1
    if a >= b:
        X.append((a, b))
    else:
        Y.append((b, a))
X.sort(key=lambda x:x[1])
Y.sort(key=lambda x:x[1])

s = 0
for i in range(len(X)):
    a, b = X[i]
    if s >= b:
        s += a-b
    else:
        print("No")
        sys.exit()
s2 = 0
for i in range(len(Y)):
    a, b = Y[i]
    if s2 >= b:
        s2 += a-b
    else:
        print("No")
        sys.exit()
if s == s2:
    print("Yes")
else:
    print("No")

Solution (Python):
from itertools import permutations
n = int(input())
s = [input() for i in range(n)]
lsa=list() 
lsd=list()
for i in range(n):
    now = 0
    mn = 0
    for c in s[i]:
        if c == '(':
            now += 1
        else:
            now -= 1
            mn = min(mn,now)
    if now >= 0:
        lsa.append([mn,now])
    else:
        lsd.append([mn-now,-now])

lsa.sort(reverse=True)
tmn = 0
tend = 0
flag=True

for mn,end in lsa:
    tmn = mn + tend
    tend += end
    if tmn < 0 or tend < 0:
        flag = False
        break
tenda = tend


lsd.sort(reverse=True)
tmn = 0
tend = 0

for mn,end in lsd:
    tmn = mn + tend
    tend += end
    if tmn < 0 or tend < 0:
        flag=False
        break

if flag and tend == tenda:
    print("Yes")
else:
    print("No")

Solution (Python):
import sys
def input(): return sys.stdin.readline().strip()
mod = 998244353


def main():

    """
    各トークンを(最下点、最終的な高さ)に分けるのはできた。
    そしてそれらを最下点位置が浅い順に並べるのも悪くはなかった、増加パートに関しては。

    減少パートは減少度合が小さい順に付け加えたとしても高さが負に潜り込むケースがある。
    （例）高さ3から下るとして、(-1, -1), (-2, 0), (-3, -2)が各トークンとすると
        この順にくっつけると(-3, -2)を加えるときにアウトだが、
        (-2, 0), (-3, -2), (-1, -1)の順だったらOK
    
    なので下る場合には増加パートとは違う方法でくっつけないといけない。
    結論としては、これは左右反転させれば増加していることになるので、右からくっつけるようにすればいい。
    """

    N = int(input())
    S_up = []
    S_down = []
    for _ in range(N):
        s = input()
        max_depth = 0
        height = 0
        for c in s:
            if c == '(':
                height += 1
            else:
                height -= 1
                max_depth = min(max_depth, height)
        if height > 0: S_up.append((max_depth, height - max_depth))
        else: S_down.append((-(height - max_depth), -max_depth))
    S_up.sort(key=lambda x: (x[0], x[1]))
    S_down.sort(key=lambda x: (x[0], x[1]))

    height_left = 0
    while S_up:
        d, h = S_up.pop()
        
        if height_left + d < 0:
            print("No")
            return
        height_left += d+h

    height_right = 0
    while S_down:
        d, h = S_down.pop()
        
        if height_right + d < 0:
            print("No")
            return
        height_right += d+h

    if height_left != height_right: print("No")
    else: print("Yes")





if __name__ == "__main__":
    main()

Solution (Python):
from bisect import bisect
N = int(input())
S = [input() for _ in range(N)]

def count(s):
    n = len(s)
    n1 = 0
    n2 = 0
    for i in range(n):
        if s[i]=='(':
            n2 += 1
        else:
            if n2 > 0:
                n2 -= 1
            else:
                n1 += 1
    return n1,n2

l1 = []
l2 = []
m1 = 0
m2 = 0
for i in range(N):
    n1,n2 = count(S[i])
    if n1+n2==0:
        continue
    if n1 == 0:
        m1 += n2
        continue
    if n2 == 0:
        m2 += n1
        continue
    if n2-n1>=0:
        l1.append([n1,n2])
    else:
        l2.append([n1,n2])

ans = 'Yes'
l1.sort()
for i in range(len(l1)):
    n1,n2 = l1[i]
    if m1 < n1:
        ans = 'No'
        break
    m1 += n2-n1

l2.sort(key=lambda x:x[1])
for i in range(len(l2)):
    n1,n2 = l2[i]
    if m2 < n2:
        ans = 'No'
        break
    m2 += n1-n2

if m1!=m2:
    ans = 'No'

print(ans)