ZhenlongDai/ACPR huggingface dataset:
Problem: p03890
Buggy submission (Python (3.4.3), verdict: Wrong Answer):
def setGroup(a):
    l = len(a)
    i = 0
    b = []
    while i < l:
        if a[i] < a[i+1]:
            b.append(a[i + 1] - a[i])
        elif  a[i] > a[i+1]:
            b.append(a[i] - a[i+1])
        else:
            b.append(a[i])
        i += 2
    return b
        
n = int(input())
i = 0
a =[]
while i < 2**n:
    a.append(int(input()))
    i += 1
while len(a) > 1:
    a = setGroup(a)
print(a)

Failing test case input:
2
1
-1
-17
0

Expected output:
15


Actual output:
[15]


Fixed submission (verdict: Accepted):
def setGroup(a):
    l = len(a)
    i = 0
    b = []
    while i < l:
        if a[i] < a[i+1]:
            b.append(a[i + 1] - a[i])
        elif  a[i] > a[i+1]:
            b.append(a[i] - a[i+1])
        else:
            b.append(a[i])
        i += 2
    return b
        
n = int(input())
i = 0
a =[]
while i < 2**n:
    a.append(int(input()))
    i += 1
while len(a) > 1:
    a = setGroup(a)
print(a[0])

Problem: p03890
Buggy submission (Python (3.4.3), verdict: Wrong Answer):
def battle(first, second):
    if first > second:
        return first - second
    elif first < second:
        return second - first
    else:
        return first

n = int(input())
prev = 0
for i in range(1 << (n-1)):
    first = int(input())
    second = int(input())
    new = battle(first, second)
    prev = battle(prev, new)
print(prev)
print()

Failing test case input:
3
2
-2
-3
7
-2
25
101
471

Expected output:
337


Actual output:
349



Fixed submission (verdict: Accepted):
def battle(first, second):
    if first > second:
        return first - second
    elif first < second:
        return second - first
    else:
        return first

n = 1 << int(input())
a = []
for i in range(n):
    a.append(int(input()))
while True:
    if n 
        break
    new = []
    for i in range(n 
        new.append(battle(a[i*2], a[i*2+1]))
    a = new
    n 
print(a[0])

Problem: p03890
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
N = int(input())
A = [int(input()) for _ in range(N)]

while len(A) > 1:
  B = []
  i = 0
  while i < len(A):
    if A[i] == A[i+1]:
      B.append(A[i])
    else:
      B.append(abs(A[i] - A[i+1]))      
    i += 2
    A = B

print(A[0])

Failing test case input:
3
1
1
-3
4
1
25
111
323

Expected output:
182


Actual output:
1


Fixed submission (verdict: Accepted):
N = int(input())
A = [int(input()) for _ in range(2**N)]

while len(A) > 1:
  B = []
  i = 0
  while i+1 < len(A):
    if A[i] == A[i+1]:
      B.append(A[i])
    else:
      B.append(abs(A[i] - A[i+1]))      
    i += 2
  A = B
print(A[0])
Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
import sys
from collections import deque
def input():
    return sys.stdin.readline().strip()

def check():
    s = input()
    m = 0
    res = 0
    for i in s:
        if i == "(":
            m += 1 
        else:
            m -= 1
            res = min(res,m)

    return [res,m]

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

tozan = []
gezan = []

for res,m in S:
    if res >= 0:
        tozan.append([res,m])
    else:
        gezan.append([res-m,m])

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


b = 0

for _,m in tozan:
    b += m

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

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

Failing test case input:
4
((())(
(()(()
))))))
)((()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
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")

Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
import heapq

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

    B.append((nop-ncl, ncl))

B = sorted(B, key=lambda x:x[1])
h = []
x = 0
ib = 0
while True:
    while ib<N:
        b = B[ib]
        if b[1]>x: break
        heapq.heappush(h, b)
        ib += 1

    if len(h)==0:
        break

    c = heapq.heappop(h)
    if c[1]>x:
        print('No')
        exit()
        
    x += c[0]

print('Yes' if ib==N and x==0 else 'No')


Failing test case input:
4
)))(((
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
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')
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
input = lambda: sys.stdin.readline().rstrip()
N = int(input())
def I():
    s = input()
    mi = 0
    su = 0
    t = 0
    for a in s:
        if a == "(":
            t += 1
        else:
            t -= 1
            mi = min(mi, t)
    return (mi, t)

X = [I() for _ in range(N)]
if sum([x[1] for x in X]):
    print("No")
    exit()

X = sorted(X, key = lambda x: x[0] - x[1])
T = 0
for mi, t in X:
    if T + mi < 0:
        print("No")
        exit()
    T += t
print("Yes")

Failing test case input:
4
((())(
(()(()
))))))
)((()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
import sys
input = lambda: sys.stdin.readline().rstrip()
N = int(input())
def I():
    s = input()
    mi = 0
    su = 0
    t = 0
    for a in s:
        if a == "(":
            t += 1
        else:
            t -= 1
            mi = min(mi, t)
    return (mi, t)

X = [I() for _ in range(N)]
if sum([x[1] for x in X]):
    print("No")
    exit()

X = sorted(X, key = lambda x: -10**10 if x[0] == 0 else -10**9 - x[0] if x[1] > 0 else x[0] - x[1])
T = 0
for mi, t in X:
    if T + mi < 0:
        print("No")
        exit()
    T += t
print("Yes")

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
input = sys.stdin.readline
N = int(input())
ls = [0] * N
rs = [0] * N
for x in range(N):
  S = list(input())[: -1]
  for i in range(len(S)):
    if S[i] == "(": rs[x] += 1
    if S[i] == ")":
      if rs[x]: rs[x] -= 1
      else: ls[x] += 1
if sum(ls) != sum(rs):
  print("No")
  exit(0)
if sum(ls) == 0:
  print("Yes")
  exit(0)
l = 0
r = 0
for i in range(N):
  if ls[i] == 0 and (rs[i] > 0): l = 1
  if rs[i] == 0 and (ls[i] > 0): r = 1
if l & r:
  print("Yes")
else: print("No")

Failing test case input:
4
)))(((
(()(()
))()()
))((()

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
import sys
input = sys.stdin.readline
N = int(input())
css = [0] * N
mns = [0] * N
t = [x for x in range(N)]
for x in range(N):
  S = list(input())[: -1]
  for i in range(len(S)):
    if S[i] == "(": css[x] += 1
    if S[i] == ")":
      css[x] -= 1
      mns[x] = min(mns[x], css[x])
if sum(css):
  print("No")
  exit(0)
t.sort(key = lambda x: -10 ** 7 if mns[x] == 0 else -10 ** 7 - mns[x] if css[x] >= 0 else mns[x] - css[x])
l = 0
for i in t:
  if l + mns[i] < 0:
    print("No")
    exit(0)
  l += css[i]
print("Yes")
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
n = int(input())

a = []
b = []
for i in range(n):
    s = input()
    x = 0
    y = 0
    for c in s:
        if c == '(':
            y += 1
        else:
            if y >= 1:
                y -= 1
            else:
                x += 1
    if x < y: a.append([x, y])
    if x > y: b.append([y, x])

def calc(a):
    ret = 0
    for x, y in sorted(a):
        if ret < x: return -1
        ret += y-x
    return ret
   
res1 = calc(a)
res2 = calc(b)
print("Yes" if res1 >= 0 and res1 == res2 else "No")

Failing test case input:
2
()
)(

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
n = int(input())

a = []
b = []
for i in range(n):
    s = input()
    x = 0
    y = 0
    for c in s:
        if c == '(':
            y += 1
        else:
            if y >= 1:
                y -= 1
            else:
                x += 1
    if x < y: a.append([x, abs(x-y)])
    else: b.append([y, abs(x-y)])

def calc(a):
    ret = 0
    for x, y in sorted(a):
        if ret < x: return -1
        ret += y
    return ret
   
res1 = calc(a)
res2 = calc(b)
print("Yes" if res1 >= 0 and res1 == res2 else "No")

Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
N = int(input())

tleft = 0
tright = 0
a = []

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 and lmin == 0:
    tleft += left
  elif left < 0 :
    tright += left
  else:
    a.append([left,lmin])

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




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




    


Failing test case input:
4
((()))
((((()
)))))(
()()()

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
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")
Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
import sys
from collections import deque
def input():
    return sys.stdin.readline().strip()

def check():
    s = input()
    m = 0
    res = deque([])
    for i in s:
        if i == "(":
            m += 1 
        else:
            m -= 1
            res.append(m)
    
    try:
        a = min(res)
    except:
        a = m
    return [a,m]

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

S.sort(reverse=True)

a = 0
b = 0

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

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

Failing test case input:
4
)()(((
((()((
))))))
()()()

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
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")

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
input = sys.stdin.readline

N = int(input())
S = [input()[:-1] for _ in range(N)]
rl1, rl2 = [], []

for Si in S:
    l, r = 0, 0
    
    for i in range(len(Si)):
        if Si[i]=='(':
            l += 1
        else:
            if l==0:
                r += 1
            else:
                l -= 1
    
    if l-r>=0:
        rl1.append((r, l))
    else:
        rl2.append((r, l))
    
rl1.sort(key=lambda t: t[0])
rl2.sort(key=lambda t: t[1], reverse=True)
rl3 = rl1+rl2
bal = 0

for r, l in rl3:
    bal -= r
    
    if bal<0:
        print(-1)
        exit()
    
    bal += l

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

Failing test case input:
3
())
)
(

Expected output:
No


Actual output:
-1


Fixed submission (verdict: Accepted):
import sys
input = sys.stdin.readline

N = int(input())
S = [input()[:-1] for _ in range(N)]
rl1, rl2 = [], []

for Si in S:
    l, r = 0, 0
    
    for i in range(len(Si)):
        if Si[i]=='(':
            l += 1
        else:
            if l==0:
                r += 1
            else:
                l -= 1
    
    if l-r>=0:
        rl1.append((r, l))
    else:
        rl2.append((r, l))
    
rl1.sort(key=lambda t: t[0])
rl2.sort(key=lambda t: t[1], reverse=True)
rl3 = rl1+rl2
bal = 0

for r, l in rl3:
    bal -= r
    
    if bal<0:
        print('No')
        exit()
    
    bal += l

if bal==0:
    print('Yes')
else:
    print('No')
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
read = sys.stdin.read

n = int(input())
ss = read().split()

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[0]*-1))
cnt = cnt_p + cnt_m
num = 0
for right,left in cnt:
    num -= right
    if(num < 0):
        print('No')
        exit()
    num += left

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

Failing test case input:
4
((()))
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
import sys
read = sys.stdin.read

n = int(input())
ss = read().split()

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')
        exit()
    num += left

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

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
N = int(input())

S = [input() for _ in range(N)]
S_t = [(0,0) for _ in range(N)]

for i in range(N):
  end = 0
  mim = 0
  for j in range(len(S[i])):
    if S[i][j] == "(":
      end += 1
    else :
      end -= 1
    mim = min(mim,end)
  
  S_t[i] = (mim, end)
  
S_t.sort(reverse=True)

check = 0
flag = True
for i in range(N):
  if check + S_t[i][0] >= 0:
    check += S_t[i][1]
  else:
    flag = False
    break
    
if check == 0:
  flag = True
else:
  flag = False

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

Failing test case input:
4
(())()
(()())
))))))
()()()

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
import sys
input=lambda: sys.stdin.readline().rstrip()

N = int(input())

S_p = []
S_n = []

for i in range(N):
  end = 0
  mim = 0
  for c in input():
    if c == "(":
      end += 1
    else :
      end -= 1
    mim = min(mim,end)
  
  if end >= 0:
    S_p.append([mim, end])
  else:
    S_n.append([end-mim, end])
  
S_p.sort(reverse=True)
S_n.sort(reverse=True)



check = 0
flag = True
for i in range(len(S_p)):
  if check + S_p[i][0] >= 0:
    check += S_p[i][1]
  else:
    flag = False
    break
  
  
for i in range(len(S_n)):
  if check + S_n[i][1] - S_n[i][0] >= 0:
    check += S_n[i][1]
  else:
    flag = False
    break
  
  
if check == 0 and flag:
  flag = True
else:
  flag = False

print("Yes" if flag else "No")
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
N = int(input())
S = [input() for _ in [0]*N]

A = [(0,0)]*N
B = [(0,0)]*N
for i,T in enumerate(S):
    m = 0
    tot = 0
    for t in T:
        if t==")":
            tot -= 1
        else:
            tot += 1
        m = min(m,tot)
    if tot >= 0:
        A[i] = (m,tot)
    else:
        B[i] = (m,tot)

A.sort(reverse=True)
B.sort()

tot = 0
ans = True
for m,t in A:
    if tot + m < 0:
        ans = False
        break
    tot += t
for m,t in B:
    if tot < m:
        ans = False
        break
    tot += t
if tot != 0:
    ans = False

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

Failing test case input:
4
((()))
((((()
)))))(
()()()

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
N = int(input())
S = [input() for _ in [0]*N]

A = [(0,0)]*N
B = [(0,0)]*N
for i,T in enumerate(S):
    m = 0
    M = 0
    tot = len(T) - T.count(")")*2
    if tot>=0:
        tot = 0
        for t in T:
            if t==")":
                tot -= 1
                m = min(m,tot)
            else:
                tot += 1
        A[i] = (m,tot)
    else:
        tot = 0
        for t in T[::-1]:
            if t==")":
                tot += 1
            else:
                tot -= 1
                m = min(m,tot)
        B[i] = (m,tot)

A.sort(reverse=True)
B.sort(reverse=True)

totA = 0
ans = True
for m,t in A:
    if totA + m < 0:
        ans = False
        break
    totA += t
totB = 0
if ans:
    for m,t in B:
        if totB + m < 0:
            ans = False
            break
        totB += t
    if totA != totB:
        ans = False

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

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
n=int(input())
pos=[]
neg=[]
for i in range(n):
    s=input()
    bal=0
    mn=0
    for ch in s:
        if ch=='(':
            bal+=1
        if ch==')':
            bal-=1
        mn=min(mn,bal)
    if -mn<bal-mn:
        pos.append((-mn,bal-mn))
    else:
        neg.append((-mn,bal-mn))
pos.sort()
neg.sort(reverse=True)
bal=0
ok=True
for (m,b) in pos:
    if bal-m<0:
        ok=False
    bal+=b-m
for (m,b) in neg:
    if bal-m<0:
        ok=False
    bal+=b-m
if bal!=0:
    ok=False
if ok:
    print("Yes")
else:
    print("No")

Failing test case input:
4
((()))
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n=int(input())
pos=[]
neg=[]
for i in range(n):
    s=input()
    bal=0
    mn=0
    for ch in s:
        if ch=='(':
            bal+=1
        if ch==')':
            bal-=1
        mn=min(mn,bal)
    if -mn<bal-mn:
        pos.append((-mn,bal-mn))
    else:
        neg.append((-mn,bal-mn))
def cmp(it):
    return -it[1]
pos.sort()
neg.sort(key=cmp)
bal=0
ok=True
for (m,b) in pos:
    if bal-m<0:
        ok=False
    bal+=b-m
for (m,b) in neg:
    if bal-m<0:
        ok=False
    bal+=b-m
if bal!=0:
    ok=False
if ok:
    print("Yes")
else:
    print("No")
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
n=int(input())
pos=[]
neg=[]
for i in range(n):
    s=input()
    bal=0
    mn=0
    for ch in s:
        if ch=='(':
            bal+=1
        if ch==')':
            bal-=1
        mn=min(mn,bal)
    if bal>0:
        pos.append((mn,bal))
    else:
        neg.append((mn,bal))
def cmp(it):
    return (it[0],it[1])
pos.sort(reverse=True,key=cmp)
neg.sort(key=cmp)
bal=0
ok=True
for (m,b) in pos:
    if bal+m<0:
        ok=False
    bal+=b
for (m,b) in neg:
    if bal+m<0:
        ok=False
    bal+=b
if bal!=0:
    ok=False
if ok:
    print("Yes")
else:
    print("No")

Failing test case input:
4
((()))
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n=int(input())
pos=[]
neg=[]
for i in range(n):
    s=input()
    bal=0
    mn=0
    for ch in s:
        if ch=='(':
            bal+=1
        if ch==')':
            bal-=1
        mn=min(mn,bal)
    if -mn<bal-mn:
        pos.append((-mn,bal-mn))
    else:
        neg.append((-mn,bal-mn))
def cmp(it):
    return -it[1]
pos.sort()
neg.sort(key=cmp)
bal=0
ok=True
for (m,b) in pos:
    if bal-m<0:
        ok=False
    bal+=b-m
for (m,b) in neg:
    if bal-m<0:
        ok=False
    bal+=b-m
if bal!=0:
    ok=False
if ok:
    print("Yes")
else:
    print("No")

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
n=int(input())
s=[0]*n
info=[0]*n
for i in range(n):
    ss=list(input())
    
    now=0
    mi=0
    for sss in ss:
        if sss=="(":
            now+=1
        else:
            now-=1
            mi=min(mi,now)
    info[i]=(mi,now)
info.sort(key=lambda x:(x[1]>=0)*2+(x[0]>0),reverse=True )


now=0

for inf in info:
    if now+inf[0]>=0:
        now+=inf[1]
    else:
        print("No")
        break
else:
    if now==0:
        print("Yes")
    else:
        print("No")

Failing test case input:
4
())(((
)(()((
))))))
()((()

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n=int(input())
s=[0]*n
info=[0]*n
for i in range(n):
    ss=list(input())
    now=0
    mi=0
    for sss in ss:
        if sss=="(":
            now+=1
        else:
            now-=1
            mi=min(mi,now)
    info[i]=(mi,now)


info0 = []
info1 = []
for i,inf in enumerate(info):
    if inf[1]>=0:
        info0.append(inf)
    else:
        info1.append(inf)
info0.sort(key=lambda x:x[0],reverse=True)
info1.sort(key=lambda x:x[1]-x[0],reverse=True)


ans=True
now=0
for inf in info0:
    if now+inf[0]>=0:
        now+=inf[1]
    else:
        ans=False
for inf in info1:
    if now+inf[0]>=0:
        now+=inf[1]
    else:
        ans=False
if now!=0:
    ans=False
    
print(ans*"Yes"+(1-ans)*"No")
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
def input(): return sys.stdin.readline().strip()
mod = 998244353


def main():
    N = int(input())
    S = []
    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)
        S.append((max_depth, height - max_depth))
    S.sort(key=lambda x: (x[0], x[1]))

    height = 0
    if S[-1][0] != 0:
        print("No")
        return
    while S:
        d, h = S.pop()
        
        if height - d < 0:
            print("No")
            return
        height += d+h
    if height != 0: print("No")
    else: print("Yes")





if __name__ == "__main__":
    main()


Failing test case input:
2
(
))(

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
import sys
def input(): return sys.stdin.readline().strip()
mod = 998244353


def main():

    

    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()
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
n = int(input())
s = []
for i in range(n):
  s.append(input())

ls = []
rs = []
tot = 0
for si in s:
  b = 0
  h = 0
  for c in si:
    if c == '(':
      h += 1
    else:
      h -= 1
    b = min(h,b)
  if h > 0:
    ls.append((b,h))
  else:
    rs.append((b-h,-h))
  tot += h
ls.sort(reverse = True)
rs.sort(reverse = True)

def check(x):
  t = 0
  for bx,hx in x:
    if t+bx < 0:
      return False
    t += h
  return True

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


Failing test case input:
4
)()(((
(()(((
))))))
()()()

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n = int(input())
s = []
for i in range(n):
  s.append(input())

ls = []
rs = []
tot = 0
for si in s:
  b = 0
  h = 0
  for c in si:
    if c == '(':
      h += 1
    else:
      h -= 1
    b = min(h,b)
  if h > 0:
    ls.append((b,h))
  else:
    rs.append((b-h,-h))
  tot += h
ls.sort(reverse = True)
rs.sort(reverse = True)

def check(x):
  t = 0
  for bx,hx in x:
    if t+bx < 0:
      return False
    t += hx
  return True

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

Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
n=int(input())
l,r=0,0
ll=[]
for i in range(n):
    s=input()
    x,y=0,0
    for j in s:
        if j=="(":
            x+=1
        else:
            if x==0:
                y+=1
            else:
                x-=1
    if x==0 or y==0:
        l+=x
        r+=y
    else:
        ll.append((x-y,x,y))
ll.append((l,l,0))
ll.append((-r,0,r))
ll.sort(reverse=True)

x,y=0,0
for i,p,q in ll:
    if q-x>0:
        print("No")
        exit()
    else:
        x-=q
    x+=p

if x==y==0:
    print("Yes")
else:
    print("No")


Failing test case input:
4
((())(
)()(((
))))))
)((()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n=int(input())
lp=[]
lm=[]
for i in range(n):
    s=input()
    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=0
for i,j in lp[::-1]:
    if s+i<0:
        print("No")
        exit()
    s+=j
lm.sort()
t=0
for i,j in lm[::-1]:
    if t+i<0:
        print("No")
        exit()
    t+=j
if s==t:
    print("Yes")
else:
    print("No")
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
N = int(input())
S = [list(input()) for i in range(N)]

A = [0 for i in range(N)]

for i in range(N):
    a = 0
    b = 0
    c = 0
    for j in range(len(S[i])):
        if S[i][j] == '(':
            a += 1
            c = min(a - b, b)
        else:
            b += 1
            c = min(a - b, b)
    A[i] = (a-b,c)

from operator import itemgetter

sorted(A,key = itemgetter(1),reverse = True)


d = 0
e = 0

for i in range(N):
    if -e > A[i][1]:
        print('No')
        exit()
    else:
        d += A[i][0]
        e += A[i][0]
else:
    if d == 0 and e == 0:
        print('Yes')
    else:
        print('No')

Failing test case input:
2
(
))(

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
N = int(input())
S = [list(input()) for i in range(N)]

A = []
B = []

for i in range(N):
    a = 0  
    b = 0  
    c = 0  
    for j in range(len(S[i])):
        if S[i][j] == '(':
            a += 1
        else:
            b += 1
            c = min(a-b,c)
    if a-b >= 0:
        A.append((a-b,c))  
    else:
        B.append((a-b,c))  

a,b = len(A),len(B)

from operator import itemgetter

A = sorted(A,key=itemgetter(1),reverse=True)

c = 0  

for i in range(a):
    if c + A[i][1] < 0:
        print('No')
        exit()
    else:
        c += A[i][0]

for i in range(b):
    B[i] = (-B[i][0],B[i][1]-B[i][0])

B = sorted(B,key=itemgetter(1),reverse=True)

d = 0  

for i in range(b):
    if d + B[i][1] < 0:
        print('No')
        exit()
    else:
        d += B[i][0]

if c == d:
    print('Yes')
else:
    print('No')
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):

N = int(input())
AllMinPlus = []
AllMinMinus = []
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 minkakko >= 0:
        AllMinPlus.append((cur,minkakko))
    else:
        AllMinMinus.append((cur,minkakko))
AllMinPlus.sort(key = lambda x:x[1],reverse=True)
AllMinMinus.sort(key = lambda x:x[1])
AllMin = AllMinPlus + 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")

Failing test case input:
4
)))(((
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):

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")
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
n = int(input())
ss = input()*n
 
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')

Failing test case input:
4
((())(
(()(()
))))))
)(()((

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
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')

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
def f(s):
  m=0
  n=0
  for i in s:
    if i==")":n-=1
    else:n+=1
    m=min(m,n)
  return [m,n-m]
n=int(input())
s=[input()for _ in range(n)]
mab=[]
pab=[]
for i in range(n):
  ab=f(s[i])
  if sum(ab)>0:pab.append(ab)
  else:mab.append(ab)
pab.sort()
mab.sort(reverse=1)
ab=pab+mab
n=0
for a,b in ab:
  n+=a
  if n<0:exit(print("No"))
  n+=b
  if n<0:exit(print("No"))
if n==0:print('Yes')
else:print('No')

Failing test case input:
4
())(((
(()(()
))))))
)((()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
def f(s):
  m=0
  n=0
  for i in s:
    if i==")":n-=1
    else:n+=1
    m=min(m,n)
  return [m,n]
n=int(input())
s=[input()for _ in range(n)]
mab=[]
pab=[]
for i in range(n):
  ab=f(s[i])
  if sum(ab)>0:pab.append(ab)
  else:mab.append(ab)
pab.sort(reverse=1)
mab.sort(key=lambda x:x[0]-x[1])


ab=pab+mab
n=0
for a,b in ab:
  if n+a<0:exit(print("No"))
  n+=b
  if n<0:exit(print("No"))
if n==0:print('Yes')
else:print('No')
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
n=int(input())
pos=[]
neg=[]
for i in range(n):
    s=input()
    bal=0
    mn=0
    for ch in s:
        if ch=='(':
            bal+=1
        if ch==')':
            bal-=1
        mn=min(mn,bal)
    if bal>0:
        pos.append((mn,bal))
    else:
        neg.append((mn,bal))
def cmp(it):
    return (it[0],-it[1])
pos.sort(reverse=True,key=cmp)
neg.sort(key=cmp)
bal=0
ok=True
for (m,b) in pos:
    if bal+m<0:
        ok=False
    bal+=b
for (m,b) in neg:
    if bal+m<0:
        ok=False
    bal+=b
if bal!=0:
    ok=False
if ok:
    print("Yes")
else:
    print("No")

Failing test case input:
4
)))(((
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n=int(input())
pos=[]
neg=[]
for i in range(n):
    s=input()
    bal=0
    mn=0
    for ch in s:
        if ch=='(':
            bal+=1
        if ch==')':
            bal-=1
        mn=min(mn,bal)
    if -mn<bal-mn:
        pos.append((-mn,bal-mn))
    else:
        neg.append((-mn,bal-mn))
def cmp(it):
    return -it[1]
pos.sort()
neg.sort(key=cmp)
bal=0
ok=True
for (m,b) in pos:
    if bal-m<0:
        ok=False
    bal+=b-m
for (m,b) in neg:
    if bal-m<0:
        ok=False
    bal+=b-m
if bal!=0:
    ok=False
if ok:
    print("Yes")
else:
    print("No")

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
N = int(input())



def check(A):
  th = 0 
  for i in range(len(A)):
    b = A[i][0]
    h = A[i][1]
    if th + b < 0:
      return False
    else:
      th += h
  return True
    

L = []
R = []
goukei = 0
for i in range(N):
  temp = str(input())
  b= 0 
  h = 0 
  for j in range(len(temp)):
    if temp[j] == "(":
      h += 1
    else:
      h -= 1
    b = min(b,h)
  if h > 0:
    L.append([b,h])
  else:
    R.append([b-h,-h])
  goukei += h

L.sort(reverse=True)
R.sort(reverse=True)
print(L,R)

if check(L) and check(R) and goukei == 0:
  print("Yes")
else:
  print("No")

Failing test case input:
3
))(
(
)

Expected output:
No


Actual output:
[[0, 1]] [[0, 1], [-1, 1]]
No


Fixed submission (verdict: Accepted):
N = int(input())



def check(A):
  th = 0 
  for i in range(len(A)):
    b = A[i][0]
    h = A[i][1]
    if th + b < 0:
      return False
    else:
      th += h
  return True
    

L = []
R = []
goukei = 0
for i in range(N):
  temp = str(input())
  b= 0 
  h = 0 
  for j in range(len(temp)):
    if temp[j] == "(":
      h += 1
    else:
      h -= 1
    b = min(b,h)
  if h > 0:
    L.append([b,h])
  else:
    R.append([b-h,-h])
  goukei += h

L.sort(reverse=True)
R.sort(reverse=True)


if check(L) and check(R) and goukei == 0:
  print("Yes")
else:
  print("No")
Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
def parse(s):
    bottom = float("inf")
    delta = 0
    for c in s:
        delta += 1 if c == "(" else -1
        bottom = min(bottom, delta)
    return bottom, delta


def main():
    N = int(input())
    pars = list(map(parse, (input() for _ in range(N))))

    incs = [p for p in pars if p[1] > 0]
    incs = sorted(incs, key=lambda p: p[0], reverse=True)
    decs = [p for p in pars if p[1] <= 0]

    from itertools import chain

    val = 0
    for bottom, delta in chain(incs, decs):
        if val + bottom < 0:
            val = -1
            break
        val += delta
    if val == 0:
        print("Yes")
    else:
        print("No")


if __name__ == '__main__':
    main()


Failing test case input:
4
)))(((
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
import sys



def parse(s):
    bottom = 0
    delta = 0
    for c in s:
        delta += (1 if c == "(" else -1)
        bottom = min(bottom, delta)
    return bottom, delta


def compute(pars):
    pars.sort(reverse=True)
    h = 0
    for bottom, delta in pars:
        if h + bottom < 0:
            print("No")
            sys.exit()
        h += delta
    return h


def main():
    N = int(input())

    incs = []
    decs = []
    for _ in range(N):
        bottom, delta = parse(input())
        if delta > 0:
            incs.append((bottom, delta))
        else:
            decs.append((bottom-delta, -delta))

    inc_tot = compute(incs)
    dec_tot = compute(decs)
    if inc_tot == dec_tot:
        print("Yes")
    else:
        print("No")


if __name__ == '__main__':
    main()

Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
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')


Failing test case input:
2
)
)((

Expected output:
No


Actual output:
[(1, 2), (1, 0)]
No


Fixed submission (verdict: Accepted):
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')
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
import sys
input = sys.stdin.readline
N = int(input())
ls = [0] * N
rs = [0] * N
t = 0
for x in range(N):
  S = list(input())[: -1]
  for i in range(len(S)):
    if S[i] == "(":
      t += 1
      rs[x] += 1
    if S[i] == ")":
      t -= 1
      if rs[x]: rs[x] -= 1
      else: ls[x] += 1

if sum(ls) == 0:
  print("Yes")
  exit(0)
l = 0
r = 0
for i in range(N):
  if ls[i] == 0 and (rs[i] > 0): l = 1
  if rs[i] == 0 and (ls[i] > 0): r = 1
if l & r:
  print("Yes")
else: print("No")


Failing test case input:
4
)))(()
(()(()
))))))
()()((

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):
import sys
input = sys.stdin.readline
N = int(input())
css = [0] * N
mns = [0] * N
t = [x for x in range(N)]
for x in range(N):
  S = list(input())[: -1]
  for i in range(len(S)):
    if S[i] == "(": css[x] += 1
    if S[i] == ")":
      css[x] -= 1
      mns[x] = min(mns[x], css[x])
if sum(css):
  print("No")
  exit(0)
t.sort(key = lambda x: -10 ** 7 if mns[x] == 0 else -10 ** 7 - mns[x] if css[x] >= 0 else mns[x] - css[x])
l = 0
for i in t:
  if l + mns[i] < 0:
    print("No")
    exit(0)
  l += css[i]
print("Yes")

Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):


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')

Failing test case input:
3
())
)
)

Expected output:
No


Actual output:
Yes


Fixed submission (verdict: Accepted):


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')
Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
def f_bracket_sequencing():
    N = int(input())
    Brackets = [input() for _ in range(N)]

    strings = ''
    for s in Brackets:
        left, right = 0, 0
        flag = True
        for ch in s:
            if ch == '(':
                left += 1
            else:
                right += 1
            if left < right:
                flag = False
        if left > right:
            strings = s + strings
        elif left < right:
            strings += s
        elif left == right:
            if flag:
                pass
            else:
                strings += s

    left, right = 0, 0
    for ch in strings:
        if ch == '(':
            left += 1
        else:
            right += 1
        if left < right:
            return 'No'
    return 'Yes' if left == right else 'No'

print(f_bracket_sequencing())

Failing test case input:
4
((()))
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
def f_bracket_sequencing():
    N = int(input())
    Brackets = [input() for _ in range(N)]

    total = 0  
    increase, decrease = [], []
    for s in Brackets:
        
        
        height, bottom = 0, 0
        for ch in s:
            height += 1 if ch == '(' else -1
            bottom = min(bottom, height)
        if height > 0:
            increase.append((bottom, height))
        else:
            decrease.append((bottom - height, -height))
        total += height
    increase.sort(reverse=True)
    decrease.sort(reverse=True)

    def accept(pairs):
        h = 0
        for p in pairs:
            b = h + p[0]
            if b < 0:
                return False  
            h += p[1]
        return True

    return 'Yes' if accept(increase) and accept(decrease) and total == 0 else 'No'

print(f_bracket_sequencing())

Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
def f(s):
  m=0
  n=0
  for i in s:
    if i==")":n-=1
    else:n+=1
    m=min(m,n)
  return [m,n-m]
n=int(input())
s=[input()for _ in range(n)]
mab=[]
pab=[]
for i in range(n):
  ab=f(s[i])
  if sum(ab)>0:pab.append(ab)
  else:mab.append(ab)
pab.sort(reverse=1)
mab.sort()


ab=pab+mab
n=0
for a,b in ab:
  n+=a
  if n<0:exit(print("No"))
  n+=b
  if n<0:exit(print("No"))
if n==0:print('Yes')
else:print('No')

Failing test case input:
4
((()))
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
def f(s):
  m=0
  n=0
  for i in s:
    if i==")":n-=1
    else:n+=1
    m=min(m,n)
  return [m,n]
n=int(input())
s=[input()for _ in range(n)]
mab=[]
pab=[]
for i in range(n):
  ab=f(s[i])
  if sum(ab)>0:pab.append(ab)
  else:mab.append(ab)
pab.sort(reverse=1)
mab.sort(key=lambda x:x[0]-x[1])


ab=pab+mab
n=0
for a,b in ab:
  if n+a<0:exit(print("No"))
  n+=b
  if n<0:exit(print("No"))
if n==0:print('Yes')
else:print('No')
Problem: p02686
Buggy submission (PyPy3 (7.3.0), verdict: Wrong Answer):
def f(s):
  m=0
  n=0
  for i in s:
    if i==")":n-=1
    else:n+=1
    m=min(m,n)
  return [m,n-m]
n=int(input())
s=[input()for _ in range(n)]
mab=[]
pab=[]
for i in range(n):
  ab=f(s[i])
  if sum(ab)>0:pab.append(ab)
  else:mab.append(ab)
pab.sort(reverse=1)
mab.sort(key=lambda x:x[1])


ab=pab+mab
n=0
for a,b in ab:
  n+=a
  if n<0:exit(print("No"))
  n+=b
  if n<0:exit(print("No"))
if n==0:print('Yes')
else:print('No')

Failing test case input:
4
((()))
((((((
))))))
)()()(

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
def f(s):
  m=0
  n=0
  for i in s:
    if i==")":n-=1
    else:n+=1
    m=min(m,n)
  return [m,n]
n=int(input())
s=[input()for _ in range(n)]
mab=[]
pab=[]
for i in range(n):
  ab=f(s[i])
  if sum(ab)>0:pab.append(ab)
  else:mab.append(ab)
pab.sort(reverse=1)
mab.sort(key=lambda x:x[0]-x[1])


ab=pab+mab
n=0
for a,b in ab:
  if n+a<0:exit(print("No"))
  n+=b
  if n<0:exit(print("No"))
if n==0:print('Yes')
else:print('No')

Problem: p02686
Buggy submission (Python (3.8.2), verdict: Wrong Answer):
n = int(input())
scop = [] 
scom = []
scomn = []
ssum = 0

for i in range(n):
    s = input()
    sa = 0
    ms = 0
    for i in range(len(s)):
        if s[i] == "(":
            sa += 1
        else:
            sa -= 1
        if ms > sa:
            ms = sa
    if sa > 0:
        scop.append([ms,sa])
    elif sa == ms:
        scomn.append([ms,sa])
    else:
        scom.append([ms,sa])
    ssum += sa

if not ssum == 0:
    print("No")
    exit()



now = 0
for i in scop:
    if now + i[0] < 0:
        print("No")
        exit()
    else:
        now += i[1]
for i in scom:
    if now + i[0] < 0:
        print("No")
        exit()
    else:
        now += i[1]

print("Yes")


Failing test case input:
4
)()(((
(()(((
))))))
()()()

Expected output:
Yes


Actual output:
No


Fixed submission (verdict: Accepted):
n = int(input())
scop = [] 
scom = []
ssum = 0

for i in range(n):
    s = input()
    sa = 0
    ms = 0
    for i in s:
        if i == "(":
            sa += 1
        else:
            sa -= 1
        if ms > sa:
            ms = sa
    if sa > 0:
        scop.append([ms,sa])
    elif not sa == ms:
        scom.append([ms,sa])
    ssum += sa

if not ssum == 0:
    print("No")
    exit()

scop.sort(reverse = True)
scom.sort()

now = 0
for i in scop:
    if now + i[0] < 0:
        print("No")
        exit()
    now += i[1]
for i in scom:
    if now + i[0] < 0:
        print("No")
        exit()
    now += i[1]

print("Yes")