qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n=int(input())
d=[]
e=[]
for i in range(n):
    p=[0,0]
    s=input()
    for j in s:
        if j==")":
            if p[0]!=0:
                p[0]-=1
            else:
                p[1]+=1
        else:
            p[0]+=1
    if p[1]-p[0]>=0:
        d.append(p)
    else:
        e.append(p)
d=sorted(d,key=lambda x:x[1])
e=sorted(e,key=lambda x:-x[0])
s=d+e
q=0
for i,j in s:
    if q<j:
        print("No")
        exit()
    else:
        q=q-j+i
if q==0:
    print("Yes")
else:
    print("No")

Fixed code:
n=int(input())
d=[]
e=[]
for i in range(n):
    p=[0,0]
    s=input()
    for j in s:
        if j==")":
            if p[0]!=0:
                p[0]-=1
            else:
                p[1]+=1
        else:
            p[0]+=1
    if p[0]-p[1]>=0:
        d.append(p)
    else:
        e.append(p)
d=sorted(d,key=lambda x:x[1])
e=sorted(e,key=lambda x:-x[0])
s=d+e
q=0
for i,j in s:
    if q<j:
        print("No")
        exit()
    else:
        q=q-j+i
if q==0:
    print("Yes")
else:
    print("No")
Buggy code:
def main():
    n = int(input())
    up, down = [], []
    for _ in range(n):
        s = list(input())
        m = 0
        height = 0
        for si in s:
            if si == "(":
                height += 1
            else:
                height -= 1
                m = min(m, height)
        if height >= 0:
            up.append([height, m])
        else:
            down.append([m-height, -height])
    up.sort(reverse=True)
    down.sort(reverse=True)
    if sum([i for i, j in up])-sum([j for i, j in down]) != 0:
        print("No")
        return
    h = 0
    for hi, mi in up:
        h += hi
    h = 0
    for hmi, hi in down:
        if h+hmi >= 0:
            h += hi
        else:
            print("No")
            return
    print("Yes")
    
        
if __name__ == "__main__":
    main()

Fixed code:
def main():
    n = int(input())
    up, down = [], []
    for _ in range(n):
        s = list(input())
        m = 0
        height = 0
        for si in s:
            if si == "(":
                height += 1
            else:
                height -= 1
                m = min(m, height)
        if height >= 0:
            up.append([m, height])
        else:
            down.append([m-height, -height])
    up.sort(reverse=True)
    down.sort(reverse=True)
    if sum([j for i, j in up])-sum([j for i, j in down]) != 0:
        print("No")
        return
    h = 0
    for mi, hi in up:
        if h+mi < 0:
            print("No")
            return
        h += hi
    h = 0
    for hmi, hi in down:
        if h+hmi >= 0:
            h += hi
        else:
            print("No")
            return
    print("Yes")
    
        
if __name__ == "__main__":
    main()
Buggy code:
import sys
input=lambda: sys.stdin.readline().strip()

N = int(input())

S = [input() for _ in range(N)]
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)
#print(S_p)
#print(S_n)

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
  #print(check)
  
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
  #print(check)
  
if check == 0 and flag:
  flag = True
else:
  flag = False

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

Fixed code:
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)
#print(S_p)
#print(S_n)

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
  #print(check)
  
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
  #print(check)
  
if check == 0 and flag:
  flag = True
else:
  flag = False

print("Yes" if flag else "No")
Buggy code:
n = int(input())
s = [input() for i in range(n)]
l, r = [], []
for i in s:
    a, b = 0, 0
    for j in range(len(i)):
        if i[j] == "(":
            b += 1
        if i[j] == ")":
            if b <= 0:
                a -= 1
            else:
                b += 1
    if b - a > 0:
        l.append([a, b])
    else:
        r.append([a, b])
l.sort(key=lambda x:x[0])
r.sort(key=lambda x:x[1], reverse=True)
li = l + r
ans = 0
for i in li:
    ans -= i[0]
    if ans < 0:
        exit(print("No"))
    ans += i[1]
print("Yes" if ans == 0 else "No")

Fixed code:
n = int(input())
s = [input() for i in range(n)]
l, r = [], []
for i in s:
    a, b = 0, 0
    for j in range(len(i)):
        if i[j] == "(":
            b += 1
        if i[j] == ")":
            if b <= 0:
                a += 1
            else:
                b -= 1
    if b - a > 0:
        l.append([a, b])
    else:
        r.append([a, b])
l.sort(key=lambda x:x[0])
r.sort(key=lambda x:x[1], reverse=True)
li = l + r
ans = 0
for i in li:
    ans -= i[0]
    if ans < 0:
        exit(print("No"))
    ans += i[1]
print("Yes" if ans == 0 else "No")
Buggy code:
def main():
    n = int(input())
    if n == 0:
        print("Yes")
        return
    slup = []
    sldown = []
    for i in range(n):
        height, mi = 0, 0
        for si in input():
            if si == "(":
                height += 1
                mi = min(mi, height)
            else:
                height -= 1
                mi = min(mi, height)
        if height >= 0:
            slup.append([mi, height])
        else:
            sldown.append([mi-height, -height])

    slup.sort(key = lambda x: -x[0])
    sldown.sort(key = lambda x: -x[0])
    if sum([si[0] for si in slup]) + sum([-si[0] for si in sldown]):
        print("No")
        return
    h = 0
    for si in slup:
        if h+si[0] < 0:
            print("No")
            return
        h += si[1]
    h = 0
    for si in sldown:
        if h+si[0] < 0:
            print("No")
            return
        h += si[1]
    print("Yes")
        

if __name__ == "__main__":
    main()

Fixed code:
def main():
    n = int(input())
    if n == 0:
        print("Yes")
        return
    slup = []
    sldown = []
    for i in range(n):
        height, mi = 0, 0
        for si in input():
            if si == "(":
                height += 1
            else:
                height -= 1
                mi = min(mi, height)
        if height >= 0:
            slup.append([mi, height])
        else:
            sldown.append([mi-height, -height])

    slup.sort(key = lambda x: -x[0])
    sldown.sort(key = lambda x: -x[0])
    if sum([si[1] for si in slup]) + sum([-si[1] for si in sldown]):
        print("No")
        return
    h = 0
    for si in slup:
        if h+si[0] < 0:
            print("No")
            return
        h += si[1]
    h = 0
    for si in sldown:
        if h+si[0] < 0:
            print("No")
            return
        h += si[1]
    print("Yes")
        

if __name__ == "__main__":
    main()
Buggy code:
from functools import reduce
n, *s = open(0).read().split()
u = []
for t in s:
    close_cnt = 0
    tmp = 0
    for c in t:
        tmp += (1 if c == '(' else -1)
        close_cnt = min(close_cnt, tmp)
    u.append((close_cnt, tmp - close_cnt))
M = 10**6 + 1
acc = 0
for a, b in sorted(u, key=lambda z: M * (z[0] + z[1]) - z[0]):
    if acc + a < 0:
        print("No")
        exit(0)
    else:
        acc += a + b
print(("No" if acc else "Yes"))

Fixed code:

from functools import reduce
n, *s = open(0).read().split()
u = []
for t in s:
    close_cnt = 0
    tmp = 0
    for c in t:
        tmp += (1 if c == '(' else -1)
        close_cnt = min(close_cnt, tmp)
    u.append((close_cnt, tmp - close_cnt))
M = 10**6 + 1
acc = 0
for a, b in sorted([x for x in u if sum(x) >= 0], key=lambda z: -z[0]):
    if acc + a < 0:
        print("No")
        exit(0)
    else:
        acc += a + b
for a, b in sorted([x for x in u if sum(x) < 0], key=lambda z: -z[1]):
    if acc + a < 0:
        print("No")
        exit(0)
    else:
        acc += a + b
print(("No" if acc else "Yes"))
Buggy code:
n = int(input())
slist = []
for i in range(n):
    slist.append(input())

first_list = []
last_list = []
for i in range(n):
    s = slist[i]

    a_count = 0
    b_count = 0
    min_s = ""
    for c in s:
        if c == ")":
            b_count-=1
        else:
            b_count+=1
        if b_count < 0:
            b_count = 0
            a_count+= 1
    min_s = ")"* a_count + "("*b_count

    ai = len(min_s)-b_count
    bi = b_count
    if bi-ai >= 0:
        first_list.append([min_s,ai])
    else:
        last_list.append([min_s,bi])

sorted(first_list, key=lambda s: s[1])
sorted(last_list, key=lambda s: s[1], reverse=True)

ans = ""
for i in range(len(first_list)):
    ans += first_list[i][0]
for i in range(len(last_list)):
    ans += last_list[i][0]

a_count = 0
b_count = 0
min_s = ""
for c in s:
    if c == ")":
        b_count-=1
    else:
        b_count+=1
    if b_count < 0:
        b_count = 0
        a_count+= 1

if a_count == 0 and b_count == 0:
    print("Yes")
else:
    print("No")

Fixed code:
n = int(input())
slist = []
for i in range(n):
    slist.append(input())

first_list = []
last_list = []
first = ""
last = ""
for i in range(n):
    s = slist[i]

    a_count = 0
    b_count = 0
    min_s = ""
    for c in s:
        if c == ")":
            b_count-=1
        else:
            b_count+=1
        if b_count < 0:
            b_count = 0
            a_count+= 1
    min_s = ")"* a_count + "("*b_count

    ai = a_count
    bi = b_count

    if ai == 0:
        first += min_s
    elif bi == 0:
        last += min_s
    elif bi-ai >= 0:
        first_list.append([min_s,ai])
    else:
        last_list.append([min_s,bi])

first_list= sorted(first_list, key=lambda s: s[1])
last_list= sorted(last_list, key=lambda s: s[1], reverse=True)

ans = first
for i in range(len(first_list)):
    ans += first_list[i][0]
for i in range(len(last_list)):
    ans += last_list[i][0]
ans += last

a_count = 0
b_count = 0
min_s = ""
for c in ans:
    if c == ")":
        b_count-=1
    else:
        b_count+=1
    if b_count < 0:
        b_count = 0
        a_count+= 1

if a_count == 0 and b_count == 0:
    print("Yes")
else:
    print("No")
Buggy code:
def main():
  ## IMPORT MODULE
  #import sys

  #sys.setrecursionlimit(100000)
  #input=lambda :sys.stdin.readline().rstrip()

  #f_inf=float("inf")
  #MOD=10**9+7
  
  if 'get_ipython' in globals(): 
    ## SAMPLE INPUT
    n = 4
    S= ['((()))', '((((((', '))))))', '()()()']

  else:
    ##INPUT 
    n = input()
    #a, b = map(int, input().split())
    S = [input() for _ in range(n)]

  ## SUBMITION CODES HERE
  def CNT(A):
    tmp, Min = 0, 0
    for a in A:
        if a == '(': tmp += 1
        else: -1
        Min = min(Min, tmp)
    return (-Min, tmp-Min)
  
  T = [CNT(s) for s in S]

  pls = []
  mis = []
  for l, r in T:
    if l <= r: pls.append((l, r))
    else: mis.append((l, r))

  pls.sort(key=lambda a: a[0])
  mis.sort(key=lambda a: a[1], reverse=True)
  total = pls + mis

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

  print('Yes' if levl == 0 else 'No')
    
main()

Fixed code:
def main():
  ## IMPORT MODULE
  #import sys

  #sys.setrecursionlimit(100000)
  #input=lambda :sys.stdin.readline().rstrip()

  #f_inf=float("inf")
  #MOD=10**9+7
  
  if 'get_ipython' in globals(): 
    ## SAMPLE INPUT
    n = 4
    S = ['((()))', '((((((', '))))))', '()()()']

  else:
    ## INPUT 
    n = int(input())
    #a, b = map(int, input().split())
    S = [input() for _ in range(n)]

  ## SUBMITION CODES HERE
  def CNT(A):
    tmp, Min = 0, 0
    for a in A:
        if a == '(': tmp += 1
        else: tmp -= 1
        Min = min(Min, tmp)
    return (-Min, tmp-Min)
  
  T = [CNT(s) for s in S]

  pls = []
  mis = []
  for l, r in T:
    if l <= r: pls.append((l, r))
    else: mis.append((l, r))

  pls.sort(key=lambda a: a[0])
  mis.sort(key=lambda a: a[1], reverse=True)
  total = pls + mis

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

  print('Yes' if levl == 0 else 'No')
    
main()
Buggy code:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10 ** 7)

n = int(readline())
s = [readline().rstrip().decode() for _ in range(n)]
inc = []
dec = []
for ss in s:
    d, r = 0, 0
    for m in ss:
        d += 1 if s == '(' else -1
        r = max(r, -d)
    (dec if d < 0 else inc).append((d, r))
inc.sort(key=lambda x: x[1])
dec.sort(key=lambda x: x[0] + x[1])
p1 = 0
p2 = 0
flag = True
for i in inc:
    flag &= i[1] <= p1
    p1 += i[0]
for d in dec:
    flag &= p2 >= d[0] + d[1]
    p2 -= d[0]
print('Yes' if flag and p1 == p2 else 'No')


Fixed code:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10 ** 7)

n = int(readline())
inc = []
dec = []
for _ in range(n):
    s = readline().rstrip().decode()
    d, r = 0, 0
    for m in s:
        d += (1 if m == '(' else -1)
        r = max(r, -d)
    (dec if d < 0 else inc).append((d, r))
inc.sort(key=lambda x: x[1])
dec.sort(key=lambda x: x[0] + x[1])
p1 = 0
p2 = 0
flag = True
for i in inc:
    flag &= i[1] <= p1
    p1 += i[0]
for d in dec:
    flag &= p2 >= d[0] + d[1]
    p2 -= d[0]
flag &= p1 == p2
print('Yes' if flag else 'No')
Buggy code:
import sys
input = sys.stdin.readline

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

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



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

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

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

Fixed code:
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')
Buggy code:
def count_scan(s):
    max_min = 0
    compare = 0
    for c in s:
        if c == '(':
            compare += 1
        elif c == ')':
            compare -= 1
            max_min = min(max_min, compare)
    return min(max_min, compare), compare


def key(lst):
    m, c = lst
    if c > 0:
        return 1, m
    else:
        return -1, c - m


def main():
    n = int(input())
    lst = [input() for _ in range(n)]

    txt = 'No'
    ans = 0
    for max_min, c in sorted([count_scan(s) for s in lst],
                             reverse=True,
                             key=key):
        if max_min + ans < 0:
            break
        ans += c
    else:
        if ans == 0:
            txt = 'Yes'

    print(txt)

Fixed code:
def count_scan(s):
    max_min = 0
    compare = 0
    for c in s:
        if c == '(':
            compare += 1
        elif c == ')':
            compare -= 1
            max_min = min(max_min, compare)
    return min(max_min, compare), compare
 
 
def key(lst):
    m, c = lst
    if c > 0:
        return 1, m
    else:
        return -1, c - m
 
 
def main():
    n = int(input())
    lst = [input() for _ in range(n)]
 
    txt = 'No'
    ans = 0
    for max_min, c in sorted([count_scan(s) for s in lst],
                             reverse=True,
                             key=key):
        if max_min + ans < 0:
            break
        ans += c
    else:
        if ans == 0:
            txt = 'Yes'
 
    print(txt)
  
if __name__ == '__main__':
    main()
Buggy code:
def result(m, b):
    sum1 = m
    resmin = m
    for i in range(len(b)):
        resmin += b[i][0]
        if resmin < 0:
            return -1
        else:
            resmin += b[i][1] - b[i][0]
    for i in range(len(b)):
        sum1 += b[i][1]
    if sum1 != 0:
        return -1
    return 0
fin = open('input.txt', 'r')
n = int(fin.readline().strip('\n'))
resmin = 10 ** 7
set_pos = []
set_neg = []
for i in range(n):
    a = fin.readline().strip('\n')
    loc_min = 10 ** 7
    total = 0
    flag = True
    tmp = 0
    for j in range(len(a)):
        if a[j] == '(':
            tmp += 1
        else:
            tmp -= 1
        if tmp < loc_min:
            loc_min = tmp
    total = tmp
    if total >= 0:
        set_pos.append((loc_min, total))
    else:
        set_neg.append((loc_min, total))
total_pos = 0
set_pos = sorted(set_pos, key = lambda l: l[0], reverse = True)
for elem in set_pos:
    if total_pos + elem[0] < 0:
        flag = False
    total_pos += elem[1]   
b = sorted(set_neg, key = lambda l: l[1] - l[0], reverse = True)
#print(b)
print(set_pos, b)
res = result(total_pos, b)
print('No' if (res == -1 or not flag) else 'Yes')

Fixed code:
def result(m, b):
    sum1 = m
    resmin = m
    for i in range(len(b)):
        resmin += b[i][0]
        if resmin < 0:
            return -1
        else:
            resmin += b[i][1] - b[i][0]
    for i in range(len(b)):
        sum1 += b[i][1]
    if sum1 != 0:
        return -1
    return 0
n = int(input().strip('\n'))
resmin = 10 ** 7
set_pos = []
set_neg = []
for i in range(n):
    a = input().strip('\n')
    loc_min = 10 ** 7
    total = 0
    flag = True
    tmp = 0
    for j in range(len(a)):
        if a[j] == '(':
            tmp += 1
        else:
            tmp -= 1
        if tmp < loc_min:
            loc_min = tmp
    total = tmp
    if total >= 0:
        set_pos.append((loc_min, total))
    else:
        set_neg.append((loc_min, total))
total_pos = 0
set_pos = sorted(set_pos, key = lambda l: l[0], reverse = True)
for elem in set_pos:
    if total_pos + elem[0] < 0:
        flag = False
    total_pos += elem[1]   
b = sorted(set_neg, key = lambda l: l[1] - l[0], reverse = True)
#print(b)
#print(set_pos, b)
res = result(total_pos, b)
print('No' if (res == -1 or not flag) else 'Yes')
Buggy code:
n=int(input())
A=[]
B=[]
c=0
for i in range(n):
  S=input()
  a=0
  b=0
  for j in range(len(S)):
    if S[j]=="(":
      a=a+1
    else:
      a=a-1
      if a<b:
        b=a
  if b==0:
    c=c+a
  elif a>=0:
    B.append([-1*b,-1*a])
  else:
    A.append([-1*b,a])
A.sort()
B.sort()
f=0
for i in range(len(B)):
  if c+B[i][0]<0:
    f=1
  c=c-B[i][1]
for i in range(len(A)):
  if c-A[i][0]<0:
    f=1
  c=c+A[i][1]
if c!=0:
  f=1
if f==0:
  print("Yes")
else:
  print("No")

Fixed code:
n=int(input())
A=[]
B=[]
c=0
for i in range(n):
  S=input()
  a=0
  b=0
  for j in range(len(S)):
    if S[j]=="(":
      a=a+1
    else:
      a=a-1
      if a<b:
        b=a
  b=b*-1
  if b==0:
    c=c+a
  elif a>=0:
    B.append([b,-1*a])
  else:
    A.append([b+a,a])
A.sort()
B.sort()
f=0
for i in range(len(B)):
  if c-B[i][0]<0:
    f=1
  c=c-B[i][1]
d=0
for i in range(len(A)):
  if d-A[i][0]<0:
    f=1
  d=d-A[i][1]
if c!=d:
  f=1
if f==0:
  print("Yes")
else:
  print("No")