Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
bra = []
ket = []
for _ in range(n):
  s = input()
  mini = 0
  now = 0
  l = len(s)
  for i in range(l):
    if s[i] == '(':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  bra.append([-mini,now])
  s = s[::-1]
  mini = 0
  now = 0
  for i in range(l):
    if s[i] == ')':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  ket.append([-mini,now])  
check = 0
for x in bra:
  #print(x)
  check += x[1]
if check != 0:
  print('No')
  exit()
bra.sort()
now = 0
here = -1
#print(bra)
import heapq
pool = []
for i in range(n):
  while here != n-1:
    if bra[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-bra[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    tmp = heapq.heappop(pool)
    now -= tmp
    if tmp > 0:
      break

ket.sort()
now = 0
here = -1
#print(bra)
pool = []
for i in range(n):
  while here != n-1:
    if ket[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-ket[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    tmp = heapq.heappop(pool)
    now -= tmp
    if tmp > 0:
      break
print('Yes')

Fixed submission:
n = int(input())
bra = []
ket = []
c = []
for _ in range(n):
  s = input()
  mini = 0
  now = 0
  l = len(s)
  for i in range(l):
    if s[i] == '(':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  if now >= 0:
    bra.append([-mini,now])
  c.append(now)
  s = s[::-1]
  mini = 0
  now = 0
  for i in range(l):
    if s[i] == ')':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  if now >= 0:
    ket.append([-mini,now])  
check = 0
for x in c:
  #print(x)
  check += x
if check != 0:
  print('No')
  exit()
bra.sort()
now = 0
here = -1
n = len(bra)
#print(bra)
import heapq
pool = []
for i in range(n):
  while here != n-1:
    if bra[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-bra[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    now -= heapq.heappop(pool)

ket.sort()
now = 0
here = -1
n = len(ket)
#print(bra)
pool = []
for i in range(n):
  while here != n-1:
    if ket[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-ket[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    now -= heapq.heappop(pool)
print('Yes')

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
bra = []
ket = []
for _ in range(n):
  s = input()
  mini = 0
  now = 0
  l = len(s)
  for i in range(l):
    if s[i] == '(':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  bra.append([-mini,now])
  s = s[::-1]
  mini = 0
  now = 0
  for i in range(l):
    if s[i] == ')':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  ket.append([-mini,now])  
check = 0
for x in bra:
  #print(x)
  check += x[1]
if check != 0:
  print('No')
  exit()
bra.sort()
now = 0
here = -1
#print(bra)
import heapq
pool = []
for i in range(n):
  while here != n-1:
    if bra[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-bra[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    now -= heapq.heappop(pool)

ket.sort()
now = 0
here = -1
#print(bra)
pool = []
for i in range(n):
  while here != n-1:
    if ket[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-ket[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    now -= heapq.heappop(pool)
print('Yes')

Fixed submission:
n = int(input())
bra = []
ket = []
c = []
for _ in range(n):
  s = input()
  mini = 0
  now = 0
  l = len(s)
  for i in range(l):
    if s[i] == '(':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  if now >= 0:
    bra.append([-mini,now])
  c.append(now)
  s = s[::-1]
  mini = 0
  now = 0
  for i in range(l):
    if s[i] == ')':
      now += 1
    else:
      now -= 1
      mini = min(mini,now)
  if now >= 0:
    ket.append([-mini,now])  
check = 0
for x in c:
  #print(x)
  check += x
if check != 0:
  print('No')
  exit()
bra.sort()
now = 0
here = -1
n = len(bra)
#print(bra)
import heapq
pool = []
for i in range(n):
  while here != n-1:
    if bra[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-bra[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    now -= heapq.heappop(pool)

ket.sort()
now = 0
here = -1
n = len(ket)
#print(bra)
pool = []
for i in range(n):
  while here != n-1:
    if ket[here+1][0] <= now:
      here += 1
      heapq.heappush(pool,-ket[here][1])
    else:
      break
  #print(i,'#',pool)
  if not pool:
    print('No')
    exit()
  else:
    now -= heapq.heappop(pool)
print('Yes')