qyliang/CodeNanoFix huggingface dataset:
Buggy code:
# coding: utf-8
import sys
from operator import itemgetter
sysread = sys.stdin.readline
read = sys.stdin.read
from heapq import heappop, heappush
#from collections import defaultdict
sys.setrecursionlimit(10**7)
#import math
#from itertools import combinations, product
#import bisect# lower_bound etc
#import numpy as np
#import queue# queue,get(), queue.put()
def run():
    N = int(input())
    current = 0
    ways = []
    dic = {'(': 1, ')': -1}
    SS = read().split()

    for S in SS:
        path = [0]
        for s in S:
            path.append(path[-1]+ dic[s])
        ways.append((path[-1], min(path)))

    ways_pos = sorted([(a,b) for a,b in ways if a >= 0], key = lambda x:x[1], reverse=True)
    ways_neg = sorted([(a,b) for a,b in ways if a < 0], key = lambda x:(x[0] - x[1]), reverse=True)

    tmp = []
    for go, max_depth in ways_pos:
        if current + max_depth >= 0:
            current += go
        else:
            tmp.append((go, max_depth))


    tmp =[]
    for go, max_depth in ways_neg:
        if current + max_depth >= 0:
            current += go
        else:
            tmp.append((go, max_depth))

    for go, max_depth in tmp:
        if current + max_depth >= 0:
            current += go
        else:
            print('No')
            return None


    if current == 0:
        print('Yes')
    else:
        print('No')

if __name__ == "__main__":
    run()

Fixed code:
# coding: utf-8
import sys
from operator import itemgetter
sysread = sys.stdin.readline
read = sys.stdin.read
from heapq import heappop, heappush
#from collections import defaultdict
sys.setrecursionlimit(10**7)
#import math
#from itertools import combinations, product
#import bisect# lower_bound etc
#import numpy as np
#import queue# queue,get(), queue.put()
def run():
    N = int(input())
    current = 0
    ways = []
    dic = {'(': 1, ')': -1}
    SS = read().split()

    for S in SS:
        path = [0]
        for s in S:
            path.append(path[-1]+ dic[s])
        ways.append((path[-1], min(path)))

    ways_pos = sorted([(a,b) for a,b in ways if a >= 0], key = lambda x:x[0], reverse=True)
    ways_neg = sorted([(a,b) for a,b in ways if a < 0], key = lambda x:(x[0] - x[1]), reverse=True)

    tmp = []
    for go, max_depth in ways_pos:
        if current + max_depth >= 0:
            current += go
        else:
            tmp.append((go, max_depth))

    for go, max_depth in tmp:
        if current + max_depth >= 0:
            current += go
        else:
            print('No')
            return None

    tmp =[]
    for go, max_depth in ways_neg:
        if current + max_depth >= 0:
            current += go
        else:
            tmp.append((go, max_depth))

    for go, max_depth in tmp:
        if current + max_depth >= 0:
            current += go
        else:
            print('No')
            return None


    if current == 0:
        print('Yes')
    else:
        print('No')

if __name__ == "__main__":
    run()
Buggy code:
import sys
input = sys.stdin.readline

n = int(input())
s = [input() for _ in range(n)]


def bracket(x):
    # f: final sum of brackets '(':+1, ')': -1
    # m: min value of f
    f = m = 0
    for i in range(len(x)):
        if x[i] == '(':
            f += 1
        else:
            f -= 1
        m = min(m, f)
    # m <= 0
    return f, m


def func(l):
    # l = [(f, m)]
    l.sort(key=lambda x: -x[1])
    v = 0
    for fi, mi in l:
        if v + mi >= 0:
            v += fi
        else:
            return -1
    return v


l1 = []
l2 = []
for i in range(n):
    fi, mi = bracket(s[i])
    if fi >= 0:
        l1.append((fi, mi))
    else:
        l2.append((-fi, mi - fi))

v1 = func(l1)
v2 = func(l2)
if v1 == -1 or v2 == -1:
    ans = 'No'
else:
    ans = 'Yes' if v1 == v2 else 'No'

print(ans)


Fixed code:
n = int(input())
s = [input() for _ in range(n)]


def bracket(x):
    # f: final sum of brackets '(':+1, ')': -1
    # m: min value of f
    f = m = 0
    for i in range(len(x)):
        if x[i] == '(':
            f += 1
        else:
            f -= 1
        m = min(m, f)
    # m <= 0
    return f, m


def func(l):
    # l = [(f, m)]
    l.sort(key=lambda x: -x[1])
    v = 0
    for fi, mi in l:
        if v + mi >= 0:
            v += fi
        else:
            return -1
    return v


l1 = []
l2 = []
for i in range(n):
    fi, mi = bracket(s[i])
    if fi >= 0:
        l1.append((fi, mi))
    else:
        l2.append((-fi, mi - fi))

v1 = func(l1)
v2 = func(l2)
if v1 == -1 or v2 == -1:
    ans = 'No'
else:
    ans = 'Yes' if v1 == v2 else 'No'

print(ans)
Buggy code:
def main():
    N = int(input())
    up_lines = []
    down_lines = []
    for i in range(N):
        s = input()
        height = 0
        bottom = 0
        for c in s:
            if c == "(":
                height += 1
            else:
                height -= 1
                bottom = min(bottom, height)
        if height > 0:
            up_lines.append((bottom, height))
        else:
            down_lines.append((bottom-height, -height))
    up_lines.sort(reverse=True, key=lambda line: line.bottom)
    down_lines.sort(reverse=True, key=lambda line: line.bottom)
    left = 0
    for bottom, height in up_lines:
        if left + bottom < 0:
            print("No")
            return
        left += height
    right = 0
    for bottom, height in down_lines:
        if right + bottom < 0:
            print("No")
            return
        right += height
    if left == right:
        print("Yes")
    else:
        print("No")


if __name__ == "__main__":
    main()


Fixed code:
def main():
    N = int(input())
    up_lines = []
    down_lines = []
    for i in range(N):
        s = input()
        height = 0
        bottom = 0
        for c in s:
            if c == "(":
                height += 1
            else:
                height -= 1
                bottom = min(bottom, height)
        if height > 0:
            up_lines.append((bottom, height))
        else:
            down_lines.append((bottom-height, -height))
    up_lines.sort(reverse=True, key=lambda line: line[0])
    down_lines.sort(reverse=True, key=lambda line: line[0])
    left = 0
    for bottom, height in up_lines:
        if left + bottom < 0:
            print("No")
            return
        left += height
    right = 0
    for bottom, height in down_lines:
        if right + bottom < 0:
            print("No")
            return
        right += height
    if left == right:
        print("Yes")
    else:
        print("No")


if __name__ == "__main__":
    main()
Buggy code:
n=int(input())
po,ne=[],[]
now=0
for i in range(n):
    p=0
    mp=0
    for j in input():
        p+=(1,-1)[j==")"]
        mp=min(p,mp)
    if mp:
        if p>=0:
            po.append((mp,p))
        else:ne.append((mp-p,-p))
    else:now+=p
po.sort(reverse=1)
ne.sort(reevrse=1)
for m,p in po+ne:
    if m+now<0:print("No");exit()
    else:now+=p
print("No") if now else print("Yes")

Fixed code:
n=int(input())
po,ne=[],[]
now=0
for i in range(n):
    p=0
    mp=0
    for j in input():
        p+=(1,-1)[j==")"]
        mp=min(p,mp)
    if mp:
        if p>=0:
            po.append((mp,p))
        else:ne.append((mp-p,-p))
    else:now+=p
po.sort(reverse=1)
ne.sort(reverse=1)
for m,p in po:
    if m+now<0:print("No");exit()
    else:now+=p
nnow=0
for m,p in ne:
    if m+nnow<0:print("No");exit()
    else:nnow+=p
print("Yes" if now==nnow else "No")
Buggy code:
import sys


def input():
    return sys.stdin.readline().strip()


def solve():
    N = int(input())
    inc_chunks = []
    dec_chunks = []
    for _ in range(N):
        depth = 0
        final = 0
        for c in input():
            if c == '(':
                final += 1
            else:
                final -= 1
                depth = min(depth, final)
        if depth >= 0 and final == 0:
            continue
        if final > 0:
            inc_chunks.append((depth, final))
        else:
            dec_chunks.append((final - depth, -final))
    inc_chunks.sort(reverse=True)
    dec_chunks.sort(reverse=True)
    inc_level = 0
    for depth, final in inc_chunks:
        if inc_level + depth < 0:
            return 'No'
        inc_level += final
    dec_level = 0
    for depth, final in dec_chunks:
        if dec_level + depth < 0:
            return 'No' 
        dec_level += final
    if inc_level != dec_level:
        return 'No'
    return 'Yes'


print(solve())


Fixed code:
import sys


def input():
    return sys.stdin.readline().strip()


def solve():
    N = int(input())
    inc_chunks = []
    dec_chunks = []
    for _ in range(N):
        depth = 0
        level = 0
        for c in input():
            if c == '(':
                level += 1
            else:
                level -= 1
                depth = min(depth, level)
        if level > 0:
            inc_chunks.append((depth, level))
        else:
            dec_chunks.append((depth - level, -level))

    inc_chunks.sort(reverse=True)
    dec_chunks.sort(reverse=True)
    inc_level = 0
    for depth, level in inc_chunks:
        if inc_level + depth < 0:
            return 'No'
        inc_level += level
    dec_level = 0
    for depth, level in dec_chunks:
        if dec_level + depth < 0:
            return 'No' 
        dec_level += level
    if inc_level != dec_level:
        return 'No'
    return 'Yes'


print(solve())
Buggy code:
# F

N = int(input())

list_plus = []
list_minus = []
for i in range(N):
    S = input()
    state = 0
    min_state = 0
    for s in S:
        if s == '(':
            state += 1
        else:
            state -= 1
        min_state = min(min_state, state)
    
    if state > 0:
        list_plus.append([min_state, state])
    else:
        
        list_minus.append([min_state - state, -state])

def compute(arr):
    total_state = 0
    for min_state, state in list_plus[::-1]:
        if total_state + min_state < 0:
            print('No')
            exit()
        total_state += state
    return total_state

list_plus.sort()
total_state_plus = compute(list_plus)
list_minus.sort()
total_state_minus = compute(list_minus)

print('Yes' if total_state_plus == total_state_minus else 'No')

Fixed code:
# F

N = int(input())

list_plus = []
list_minus = []
for i in range(N):
    S = input()
    state = 0
    min_state = 0
    for s in S:
        if s == '(':
            state += 1
        else:
            state -= 1
        min_state = min(min_state, state)
    
    if state > 0:
        list_plus.append((min_state, state))
    else:
        list_minus.append((min_state - state, -state))

def compute(arr):
    total_state = 0
    for min_state, state in arr[::-1]:
        if total_state + min_state < 0:
            print('No')
            exit()
        total_state += state
    return total_state

list_plus.sort()
total_state_plus = compute(list_plus)
list_minus.sort()
total_state_minus = compute(list_minus)

print('Yes' if total_state_plus == total_state_minus else 'No')
Buggy code:
import sys
sr = lambda: sys.stdin.readline().rstrip()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))
def resolve():
    N = ir()
    pos = []
    neg = []
    for i in range(N):
        tmp = 0
        b = 0
        for c in sr():
            if c == '(':
                tmp += 1
            else:
                tmp -= 1
                b = min(b, tmp)
        if tmp > 0:
            pos.append([tmp, b])
        else:
            neg.append([tmp, b])
    pos = sorted(pos, key=lambda x: (x[1], x[0]))[::-1]
    neg = sorted(neg, key=lambda x: (x[1], x[0]))
    c = 0
    for p in pos:
        t, b = p
        if c+b < 0:
            print('No')
            return
        c += t
    for n in neg:
        t, b = n
        if c+b < 0:
            print('No')
            return
        c += t
    if c == 0:
        print('Yes')
    else:
        print('No')
#resolve()

Fixed code:
import sys
sr = lambda: sys.stdin.readline().rstrip()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))
def resolve():
    N = ir()
    pos = []
    neg = []
    tot = 0
    for i in range(N):
        tmp = 0
        b = 0
        for c in sr():
            if c == '(':
                tmp += 1
            else:
                tmp -= 1
                b = min(b, tmp)
        if tmp > 0:
            pos.append([tmp, b])
        else:
            neg.append([-tmp, b-tmp])
        tot += tmp
    if tot != 0:
        print('No')
        return
    pos = sorted(pos, key=lambda x: (x[1], x[0]))[::-1]
    neg = sorted(neg, key=lambda x: (x[1], x[0]))[::-1]
    c = 0
    for p in pos:
        t, b = p
        if c+b < 0:
            print('No')
            return
        c += t
    c = 0
    for n in neg:
        t, b = n
        if c+b < 0:
            print('No')
            return
        c += t
    print('Yes')
    return
resolve()
Buggy code:
from itertools import *
n,*s=open(0).read().split()
u=[[min(accumulate(t,lambda a,b: a+(1 if b=="(" else -1),initial=0)),2*t.count("(")-len(t)] for t in s]
m=0
for c,d in chain(sorted([x for x in u if x[1]>=0])[::-1],sorted([x for x in u if x[1]<0],key=lambda z:z[1]-z[0])[::-1]):
    if m+c<0:print("No");break;m+=d
else:
    print("No" if m else "Yes")

Fixed code:
from itertools import *
n,*s=open(0).read().split()
u=[[min(accumulate(t,lambda a,b: a+(1 if b=="(" else -1),initial=0)),2*t.count("(")-len(t)] for t in s]
m=0
for c,d in chain(sorted([x for x in u if x[1]>=0])[::-1],sorted([x for x in u if x[1]<0],key=lambda z:z[1]-z[0])[::-1]):
    if m+c<0:
        print("No");break
    m+=d
else:
    print("No" if m else "Yes")
Buggy code:
from sys import exit
from itertools import accumulate,chain
n,*s=open(0).read().split()
t=[2*i.count("(")-len(i) for i in s]
st=[[min(accumulate(s_,lambda a,b: a+(1 if b=="(" else -1),initial=0)),t_] for s_,t_ in zip(s,t)]
now=0
for c in chain(sorted([x for x in st if x[1]>=0])[::-1],sorted([x for x in st if x[1]<0],key=lambda z:z[1]-z[0])[::-1]):
    if now+c[0]<0:
        print("No");exit()
    now+=c[1]
print("Yes")

Fixed code:
from itertools import accumulate,chain
n,*s=open(0).read().split()
t=[2*i.count("(")-len(i) for i in s]
st=[[min(accumulate(s_,lambda a,b: a+(1 if b=="(" else -1),initial=0)),t_] for s_,t_ in zip(s,t)]
now=0
for c in chain(sorted([x for x in st if x[1]>=0])[::-1],sorted([x for x in st if x[1]<0],key=lambda z:z[1]-z[0])[::-1]):
    if now+c[0]<0:
        print("No");break
    now+=c[1]
else:
    print("No" if now else "Yes")
Buggy code:
from sys import exit
from itertools import accumulate,chain
n,*s=open(0).read().split()
t=[2*i.count("(")-len(i) for i in s]
if sum(t)!=0:
    print("No");exit()
st=[[min(accumulate(s_,lambda a,b: a+(1 if b=="(" else -1),initial=0)),t_] for s_,t_ in zip(s,t)]
now=0
for c in chain(sorted([x if x[1]>=0 for x in st])[::-1],sorted([x if x[1]<0 for x in st],lambda z:z[1]-z[0])[::-1]):
    if now+c[0]<0:
        print("No");exit()
    now+=c[1]
print("Yes")

Fixed code:
from sys import exit
from itertools import accumulate,chain
n,*s=open(0).read().split()
t=[2*i.count("(")-len(i) for i in s]
if sum(t)!=0:
    print("No");exit()
st=[[min(accumulate(s_,lambda a,b: a+(1 if b=="(" else -1),initial=0)),t_] for s_,t_ in zip(s,t)]
now=0
for c in chain(sorted([x for x in st if x[1]>=0])[::-1],sorted([x for x in st if x[1]<0],key=lambda z:z[1]-z[0])[::-1]):
    if now+c[0]<0:
        print("No");exit()
    now+=c[1]
print("Yes")
Buggy code:
import sys
readline = sys.stdin.readline

def main():
  N = int(readline())
  Sp = []
  Sm = []
  total = 0
  bm = 0
  for i in range(N):
    l = readline()
    b = 0
    h = 0
    for j in range(len(l)):
      if l[j] == '(':
        h += 1
      else:
        h -= 1
      b = min(b, h)
    if h == 0 and b != 0:
      bm = min(bm, b)
    elif h > 0:
      Sp.append([b, h])
    elif h < 0:
      Sm.append([b-h, -h])
    total += h
  Sp.append([bm, 0])
  if total != 0:
    print('No')
    exit()
  Sp.sort(key=lambda x:x[0], reverse=True)
  p = check(Sp)
  if p < 0:
    print('No')
    exit()
  Sm.sort(key=lambda x:x[0], reverse=True)
  m = check(Sm)
  if m < 0:
    print('No')
    exit()
  print('Yes')

def check(S):
  h = 0
  for i in range(len(S)):
    if h + S[i][0] < 0:
      return -1
    else:
      h += S[i][1]
  return h

if __name__ == '__main__':
  main()

Fixed code:
import sys
readline = sys.stdin.readline

def main():
  N = int(readline())
  Sp = []
  Sm = []
  total = 0
  bm = 0
  for i in range(N):
    l = readline().strip()
    b = 0
    h = 0
    for j in range(len(l)):
      if l[j] == '(':
        h += 1
      else:
        h -= 1
      b = min(b, h)
    if h == 0 and b != 0:
      bm = min(bm, b)
    elif h > 0:
      Sp.append([b, h])
    elif h < 0:
      Sm.append([b-h, -h])
    total += h
  Sp.append([bm, 0])
  if total != 0:
    print('No')
    exit()
  Sp.sort(key=lambda x:x[0], reverse=True)
  p = check(Sp)
  if p < 0:
    print('No')
    exit()
  Sm.sort(key=lambda x:x[0], reverse=True)
  m = check(Sm)
  if m < 0:
    print('No')
    exit()
  print('Yes')

def check(S):
  h = 0
  for i in range(len(S)):
    if h + S[i][0] < 0:
      return -1
    else:
      h += S[i][1]
  return h

if __name__ == '__main__':
  main()
Buggy code:
n = int(input())
S = [input() for i in range(n)]
AB = []
for i in range(n):
    a, b = 0, 0
    for c in S[i]:
        if c == '(':
            b += 1
        if c == ')':
            if b > 0:
                b -= 1
            else:
                a += 1
    AB.append((a, b))
AB.sort(key=lambda x: (x[0], -x[1]))
print(AB)
x = 0
for a, b in AB:
    x -= a
    if x < 0:
        print('No')
        exit()
    x += b
if x == 0:
    print('Yes')
else:
    print('No')


Fixed code:
n = int(input())
S = [input() for i in range(n)]
AB = []
for i in range(n):
    a, b = 0, 0
    for c in S[i]:
        if c == '(':
            b += 1
        if c == ')':
            if b > 0:
                b -= 1
            else:
                a += 1
    AB.append((a, b))
AB0 = [(a, b) for a, b in AB if -a + b >= 0]
AB1 = [(a, b) for a, b in AB if -a + b < 0]
AB0.sort()
AB1.sort(key=lambda x: -x[1])
AB = AB0 + AB1
x = 0
for a, b in AB:
    x -= a
    if x < 0:
        print('No')
        exit()
    x += b
if x == 0:
    print('Yes')
else:
    print('No')
Buggy code:
import sys
from functools import reduce
n=int(input())
s=[input() for i in range(n)]
t=[2*(i.count("("))-len(i) for i in s]
if sum(t)!=0:
    print("No")
    sys.exit()
st=[[t[i]] for i in range(n)]

for i in range(n):
    now,mi=0,0
    for j in s[i]:
        if j=="(":
            now+=1
        else:
            now-=1
        mi=min(mi,now)
    st[i].append(mi)

now2=reduce(lambda a,b:a[0]+b[0],filter(lambda x:x[1]>=0,st))
v,w=list(filter(lambda x:x[1]<0 and x[0]>=0,st)),list(filter(lambda x:x[1]<0 and x[0]<0,st))
v.sort(reverse=True,key=lambda z:z[1])
w.sort(key=lambda z:z[0]-z[1],reverse=True)

for vsub in v:
    if now2+vsub[1]<0:
        print("No")
        sys.exit()
    now2+=vsub[0]
for wsub in w:
    if now2+wsub[1]<0:
        print("No")
        sys.exit()
    now2+=wsub[0]
print("Yes")

Fixed code:
import sys
from functools import reduce
n=int(input())
s=[input() for i in range(n)]
t=[2*(i.count("("))-len(i) for i in s]
if sum(t)!=0:
    print("No")
    sys.exit()
st=[[t[i]] for i in range(n)]

for i in range(n):
    now,mi=0,0
    for j in s[i]:
        if j=="(":
            now+=1
        else:
            now-=1
        mi=min(mi,now)
    st[i].append(mi)

now2=sum(map(lambda x:x[0],filter(lambda x:x[1]>=0,st)))
v,w=list(filter(lambda x:x[1]<0 and x[0]>=0,st)),list(filter(lambda x:x[1]<0 and x[0]<0,st))
v.sort(reverse=True,key=lambda z:z[1])
w.sort(key=lambda z:z[0]-z[1],reverse=True)
#print(now2)
for vsub in v:
    if now2+vsub[1]<0:
        print("No")
        sys.exit()
    now2+=vsub[0]
for wsub in w:
    if now2+wsub[1]<0:
        print("No")
        sys.exit()
    now2+=wsub[0]
print("Yes")
Buggy code:
n = int(input())
lst_left = []
lst_right = []
for i in range(n):
  s = input()
  h = 0
  b = 0
  for e in s:
    if e == "(":
      h += 1
    else:
      h -= 1
      b = min(b, h)
  if h>=0:
    lst_left.append((b, h))
  else:
    lst_right.append((b-h, -h))
lst_left = sorted(lst_left, key=lambda x:x[1], reverse=True)
lst_left = sorted(lst_left, key=lambda x:x[0], reverse=True)
lst_right = sorted(lst_right, key=lambda x:x[1], reverse=True)
lst_right = sorted(lst_right, key=lambda x:x[0], reverse=True)
h = 0
b = 0
for i in range(len(lst_left)):
  if h + lst_left[i][0] < 0:
    print("No")
    exit()
  else:
    h += lst_left[i][1]
for i in range(len(lst_right)):
  if h + lst_right[i][0] < 0:
    print("No")
    exit()
  else:
    h += lst_right[i][1]
if h == 0:
  print("Yes")
else:
  print("No")
  


Fixed code:
n = int(input())
lst_left = []
lst_right = []
total = 0
for i in range(n):
  s = input()
  h = 0
  b = 0
  for e in s:
    if e == "(":
      h += 1
    else:
      h -= 1
      b = min(b, h)
  if h>=0:
    lst_left.append((b, h))
  else:
    lst_right.append((b-h, -h))
  total += h
#lst_left = sorted(lst_left, key=lambda x:x[1], reverse=True)
lst_left = sorted(lst_left, key=lambda x:x[0], reverse=True)
#lst_right = sorted(lst_right, key=lambda x:x[1], reverse=True)
lst_right = sorted(lst_right, key=lambda x:x[0], reverse=True)

if total != 0:
  print("No")
  exit()
h = 0
for i in range(len(lst_left)):
  if h + lst_left[i][0] < 0:
    print("No")
    exit()
  else:
    h += lst_left[i][1]
h = 0
for i in range(len(lst_right)):
  if h + lst_right[i][0] < 0:
    print("No")
    exit()
  else:
    h += lst_right[i][1]
print("Yes")
Buggy code:
# import sys
# input = sys.stdin.readline


def solve():
    N = int(input())
    brackets_gen = (input() for _ in range(N))

    grads_positive = list()
    grads_negative = list()

    for brackets in brackets_gen:

        elevation, bottom = 0, 0

        for bk in brackets:

            elevation += 1 if bk == '(' else -1
            bottom = min(bottom, elevation)

        if elevation >= 0:
            grads_positive.append((bottom, elevation))
        elif elevation < 0:
            grads_negative.append((bottom - elevation, -elevation))

    grads_positive.sort(reverse=True)
    grads_negative.sort()

    def is_good(grads):
        elevation, bottom = 0, 0
        for grad in grads:
            bottom = elevation + grad[0]
            if bottom < 0:
                return False
            elevation += grad[1]

        if elevation == 0:
            return True
        else:
            return False

    if is_good(grads_positive) and is_good(grads_negative):
        return True
    else:
        return False


def main():
    ok = solve()
    if ok:
        print('Yes')
    else:
        print('No')


if __name__ == "__main__":
    main()


Fixed code:
# import sys
# input = sys.stdin.readline


def solve():
    N = int(input())
    brackets_gen = (input() for _ in range(N))

    grads_positive = list()
    grads_negative = list()

    total = 0
    for brackets in brackets_gen:

        elevation, bottom = 0, 0

        for bk in brackets:

            elevation += 1 if bk == '(' else -1
            bottom = min(bottom, elevation)

        if elevation >= 0:
            grads_positive.append((bottom, elevation))
        elif elevation < 0:
            grads_negative.append((bottom - elevation, -elevation))

        total += elevation

    if total != 0:
        return False

    grads_positive.sort(reverse=True)
    grads_negative.sort(reverse=True)

    def is_good(grads):
        elevation, bottom = 0, 0
        for grad in grads:
            bottom = elevation + grad[0]
            if bottom < 0:
                return False
            elevation += grad[1]

        return True

    if is_good(grads_positive) and is_good(grads_negative):
        return True
    else:
        return False


def main():
    ok = solve()
    if ok:
        print('Yes')
    else:
        print('No')


if __name__ == "__main__":
    main()