Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p03674 (python)

Fixed submission:
N = int(input())
A = [int(_) for _ in input().split()]
mod = 10**9 + 7

f = [1] * (N + 2)
fi = [1] * (N + 2)
for i in range(2, N + 2):
    f[i] = i * f[i - 1]
    f[i] %= mod
for i in range(2, N + 2):
    fi[i] = fi[i - 1] * pow(i, mod - 2, mod)
    fi[i] %= mod


def comb(n, r):
    if 0 <= n and 0 <= r and 0 <= n - r:
        return (f[n] * fi[r] * fi[n - r]) % mod
    else:
        return 0


b = set()
for a in A:
    if a in b:
        break
    b.add(a)
c = []
for i in range(N + 1):
    if A[i] == a:
        c += [i]
i, j = c
for x in range(1, N + 2):
    print((comb(N + 1, x) - (comb(N - j + i, x - 1))) % mod)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = [int(_) for _ in input().split()]
mod = 10**9 + 7

f = [1] * (N + 2)
fi = [1] * (N + 2)
for i in range(2, N + 2):
    f[i] = i * f[i - 1]
    f[i] %= mod
for i in range(2, N + 2):
    fi[i] = fi[i - 1] * pow(i, mod - 2, mod)
    fi[i] %= mod


def comb(n, r):
    if 0 <= n and 0 <= r and 0 <= n - r:
        return (f[n] * fi[r] * fi[n - r]) % mod
    else:
        return 0


b = set()
for a in A:
    if a in b:
        break
    b.add(a)
c = []
for i in range(N):
    if A[i] == a:
        c += [i]
i, j = c
for x in range(1, N + 2):
    print((comb(N + 1, x) - (comb(N - j + i, x - 1))) % mod)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = [int(_) for _ in input().split()]
mod = 10**9+7

memo=[0]*(N+2)
def comb(x, y):
    if x == N-1 and dp[y] > 0:
        return memo[y]
    elif y > x:
        return 0
    elif y * 2 > x:
        y = x - y
    result = 1
    for j in range(1, y + 1):
        result *= (x + j - y) * pow(j, mod - 2, mod)
        result %= mod
    if x == N-1:
        memo[y] = result
    return result


dupl = sum(A)-N*(N+1)//2
ds = []
for _ in range(N+1):
    if A[_] == dupl:
        ds += [_]
i, j = ds

print(N)
for k in range(2, N+2):
    print((comb(N-1, k)+comb(N-1, k-2)+2*comb(N-1, k-1)-comb(N-j+i, k-1)) % mod)
Problem p03693 (python)

Fixed submission:
num = input().split()
a = int(num[0]) * 100 + int(num[1]) * 10 + int(num[2])
if a % 4 == 0:
    print("YES")
else:
    print("NO")

Buggy submission (verdict: Runtime Error):
import re
def kezuru(str):
    if str.find('()') == -1:
        return str
    else:
        return kezuru(str.replace('()',''))

n = input()
str = input()
kezutta = kezuru(str)
#print('(' * len(re.search('\)+',kezutta).group(0)) + str + ')' * len(re.search('\(+',kezutta).group(0)))
n1 = 0
m1 = re.search('\)+',kezutta)
if m1:
    n1 = len(m1.group(0))
n2 = 0
m2 = re.search('\(+',kezutta)
if m2:
    n2 = len(m2.group(0))
print(n1 * '(' + str + n2 * ')')

Buggy submission (verdict: Runtime Error):
import re
input()
strorig = input()
closeFirst = re.search('^\)*',strorig).group(0)
openLast = re.search('\(*$',strorig).group(0)
strModified = '(' * len(list(closeFirst)) + strorig + ')' * len(list(openLast))
nums = [-1 if i == '(' else 1 for i in list(strModified)]
sumnums = sum(nums)
if sumnums < 0:
    result = strModified + ')' * (-1 * sumnums)
else:
    result = '(' * sumnums + strModified
print(result)
Problem p03695 (python)

Fixed submission:
N = input()
a = input().split()
scores = [0,0,0,0,0,0,0,0]
score8 = 0
for i in a:
    check = int(int(i) / 400)
    if check > 7:
        score8 += 1
    else:
        scores[check] = 1
score1to7 = sum(scores)
saidai = score1to7 + score8
if score1to7 < 1:
    saisho = 1
else:
    saisho = score1to7
print(str(saisho) + " " + str(saidai))

Buggy submission (verdict: Runtime Error):
N = int(input())
A = [int(_) for _ in input().split()]
colors = [0] * 9
for a in A:
    c = a // 400
    if c < 8:
        colors[c] = 1
    else:
        colors[c] += 1
print(max(sum(colors[:8]), 1), min(sum(colors[:8]) + colors[8], 8))

Buggy submission (verdict: Runtime Error):
N = input()
a = [int(int(i)/400) for i in input().split()]
scores = [0,0,0,0,0,0,0,0]
score8 = 0
for i,v in enumerate(a):
    if v > 7:
        score8 += 1
    else:
        scores[i] = 1
score1to7 = sum(scores)
saidai = min(score1to7 + score8, 8)
saisho = min(max(score1to7, score8), 8)
print(str(saisho) + " " + str(saidai))

Buggy submission (verdict: Runtime Error):
N = input()
a = [int(int(i)/400) for i in input().split()]
print(a)
scores = [0,0,0,0,0,0,0,0]
score8 = 0
for i,v in enumerate(a):
    if v > 7:
        score8 += 1
    else:
        scores[i] = 1
score1to7 = sum(scores)
saidai = min(score1to7 + score8, 8)
saisho = min(max(score1to7, score8), 8)
print(str(saisho) + " " + str(saidai))
Problem p03712 (python)

Fixed submission:
H, W = [int(_) for _ in input().split()]
A = [input() for _ in range(H)]
print('#'*(W+2))
for a in A:
    print('#'+a+'#')
print('#'*(W+2))

Buggy submission (verdict: Runtime Error):
H, W = [int(_) for _ in input().split()]
A = [input() for _ in range(N)]
print('#'*(W+2))
for a in A:
    print('#'+a+'#')
print('#'*(W+2))
Problem p03722 (python)

Fixed submission:
V, E = [int(_) for _ in input().split()]
G = {}

for i in range(V):
    G[i] = {}
for _ in range(E):
    s, t, c = [int(_) for _ in input().split()]
    s -= 1  # 0を始点とする場合
    t -= 1  # 0を始点とする場合
    G[s][t] = -c

INF = float('inf')

D = [INF] * V
D[0] = 0  # 0を始点とする場合
count = 0
while True:
    count += 1
    update = False
    update_n = False
    for s in G.keys():
        for t in G[s].keys():
            if D[s] != INF and D[t] > D[s] + G[s][t]:
                D[t] = D[s] + G[s][t]
                update = True
                if t == V - 1:
                    update_n = True
    if not update or count == V:
        break
if update_n:
    print('inf')
else:
    print(-D[-1])

Buggy submission (verdict: Runtime Error):
import math
V, E = [int(_) for _ in input().split()]
G = {}

for i in range(V):
    G[i] = {}
for _ in range(E):
    s, t, c = [int(_) for _ in input().split()]
    s -= 1  # 0を始点とする場合
    t -= 1  # 0を始点とする場合
    G[s][t] = -c

INF = math.inf

D = [INF] * V
D[0] = 0  # 0を始点とする場合
count = 0
while True:
    count += 1
    update = False
    for s in G.keys():
        for t in G[s].keys():
            if D[s] != INF and D[t] > D[s] + G[s][t]:
                D[t] = D[s] + G[s][t]
                update = True
    if not update:
        break
    if count == V:
        print('inf')
        exit()
print(-D[-1])
Problem p03852 (python)

Fixed submission:
c = input()
if c in 'aeiuo':
    print('vowel')
else:
    print('consonant')

Buggy submission (verdict: Runtime Error):
c = input()
if 'a' in 'aeiuo'.split(''):
    print('vowel')
else:
    print('consonant')
Problem p03860 (python)

Fixed submission:
print('A'+input().split()[1][0]+'C')

Buggy submission (verdict: Runtime Error):
if sorted([int(_) for _ in input().split()]) == [5, 5, 7]:
    print('YES')
else:
    print('NO')
Problem p03866 (python)

Fixed submission:
from heapq import *

xs, ys, xt, yt = [int(_) for _ in input().split()]
N = int(input())
XYR = [[xs, ys, 0]] + [[int(_) for _ in input().split()]
                       for _ in range(N)] + [[xt, yt, 0]]
G = [[0] * (N + 2) for _ in range(N + 2)]
for i in range(N + 1):
    for j in range(i + 1, N + 2):
        G[i][j] = G[j][i] = max(
            ((XYR[i][0] - XYR[j][0])**2 +
             (XYR[i][1] - XYR[j][1])**2)**0.5 - XYR[i][2] - XYR[j][2], 0)


def dijkstra(V, G, start):
    INF = float('inf')
    D = [INF for _ in range(V)]
    D[start] = 0
    H = [(0, start)]
    while H:
        du, u = heappop(H)
        if D[u] < du:
            continue
        for v, d in enumerate(G[u]):
            if D[v] > du + d:
                D[v] = du + d
                heappush(H, (D[v], v))
    return D


D = dijkstra(N + 2, G, 0)
print(D[-1])

Buggy submission (verdict: Runtime Error):
import numpy as np
from scipy.sparse import csgraph

xs, ys, xt, yt = [int(_) for _ in input().split()]
N = int(input())
XYR = np.array([[xs, ys, 0]] + [[int(_) for _ in input().split()]
                                for _ in range(N)] + [[xt, yt, 0]])
edge = [[0] * (N + 2) for _ in range(N + 2)]
for i in range(N + 1):
    for j in range(i + 1, N + 2):
        edge[i][j] = edge[j][i] = max(
            ((XYR[i][0] - XYR[j][0])**2 +
             (XYR[i][1] - XYR[j][1])**2)**0.5 - XYR[i][2] - XYR[j][2], 0)
G = csgraph.csgraph_from_dense(edge, null_value=np.inf)
print(csgraph.dijkstra(G, directed=False, indices=0)[-1])

Buggy submission (verdict: Runtime Error):
import numpy as np
from scipy.sparse.csgraph import *
xs, ys, xt, yt = [int(_) for _ in input().split()]
N = int(input())
XYR = np.array([[xs, ys, 0]] + [[int(_) for _ in input().split()]
                                for _ in range(N)] + [[xt, yt, 0]])
edge = [[0] * (N + 2) for _ in range(N + 2)]
for i in range(N + 1):
    for j in range(i + 1, N + 2):
        edge[i][j] = edge[j][i] = max(
            ((XYR[i][0] - XYR[j][0])**2 +
             (XYR[i][1] - XYR[j][1])**2)**0.5 - XYR[i][2] - XYR[j][2], 0)
G = csgraph_from_dense(edge, null_value=10**10)
print(dijkstra(G, directed=False, indices=0)[-1])
Problem p04034 (python)

Fixed submission:
N, M = [int(_) for _ in input().split()]
XY = [[int(_) - 1 for _ in input().split()] for _ in range(M)]

red = [False] * N
red[0] = True
num = [1] * N

for x, y in XY:
    num[x] -= 1
    num[y] += 1
    if red[x] == True:
        red[y] = True
        if num[x] == 0:
            red[x] = False
print(sum(red))

# http://agc002.contest.atcoder.jp/data/agc/002/editorial.pdf

Buggy submission (verdict: Runtime Error):
N, M = [int(_) for _ in input().split()]
XY = [[int(_) - 1 for _ in input().split()] for _ in range(M)]

red = [False] * M
red[0] = True
num = [1] * M

for x, y in XY:
    num[x] -= 1
    num[y] += 1
    if red[x] == True:
        red[y] = True
        if num[x] == 0:
            red[x] = False
print(sum(red))

# http://agc002.contest.atcoder.jp/data/agc/002/editorial.pdf
Problem p02586 (python)

Fixed submission:
import numba
from numba import jit
import numpy as np
 
#(i,j)→(i+1,j)のように動くときはアイテムを入手できる回数がリセットされる
#dp[列][今、何個アイテムを取ったか]でdpテーブルを作る
@jit
def main(r, c):
  dp = np.zeros((c+1, 4), np.int64)
  for i in range(r):
    new_dp = np.zeros((c+1, 4), np.int64)
    for j in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,j])
    dp = new_dp
    for k in range(c):
      for l in range(2, -1, -1):
        dp[k,l+1] = max(dp[k,l+1], dp[k,l]+item_map[i,k])
      for m in range(1,4):
        dp[k+1,m] = max(dp[k+1,m], dp[k,m])
  return max(dp[c-1,:])
 
R, C, K = map(int, input().split())
item_lis = list(list(map(int, input().split())) for i in range(K))
item_map = np.zeros((R, C), np.int64)
for i,j,k in item_lis:
  item_map[i-1,j-1] = k
 
print(main(R, C))

Buggy submission (verdict: Runtime Error):
import numba
from numba import jit
import numpy as np
 
def main(r, c):
  dp = np.zeros((c+1, 4), np.int64)
  for i in range(r):
    new_dp = np.zeros((c+1, 4), np.int64)
    for j in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,j])
    dp = new_dp
    for k in range(c):
      for l in range(2, -1, -1):
        dp[k,l+1] = max(dp[k,l+1], dp[k,l]+item_map[i,k])
      for m in range(1,4):
        dp[k+1,m] = max(dp[k+1,m], dp[k,m])
  return max(dp[c-1,:])
 
R, C, K = map(int, input().split())
item_lis = list(list(map(int, input().split())) for i in range(K))
item_map = np.zeros((R, C), np.int64)
for i,j,k in item_lis:
  item_map[i-1,j-1] = k
 
print(main(R, C))
import numpy as np

def main(r, c):
  dp = np.zeros((c+1, 4), np.int64)
  for i in range(r):
    new_dp = np.zeros((c+1, 4), np.int64)
    for j in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,j])
    dp = new_dp
    for k in range(c):
      for l in range(2, -1, -1):
        dp[k,l+1] = max(dp[k,l+1], dp[k,l]+item_map[i,k])
      for m in range(1,4):
        dp[k+1,m] = max(dp[k+1,m], dp[k,m])
  return max(dp[c-1,:])
 
R, C, K = map(int, input().split())
item_lis = list(list(map(int, input().split())) for i in range(K))
item_map = np.zeros((R, C), np.int64)
for i,j,k in item_lis:
  item_map[i-1,j-1] = k
 
print(main(R, C))
提出情報
提出日時
Problem p02608 (python)

Fixed submission:
import math
N = int(input())
x = math.ceil(math.sqrt(N))
ans = [0]*N

def f(x,y,z):
    return x**2+y**2+z**2+x*y+y*z+z*x

for i in range(1,x):
    for j in range(i,x):
        for k in range(j,x):
            s = f(i,j,k)
            t = len(set([i,j,k]))
            if N >= s:
                if t == 3:
                    ans[s-1] += 6
                elif t == 2:
                    ans[s-1] += 3
                elif t ==1:
                    ans[s-1] += 1
for i in range(len(ans)):
    print(ans[i])

Buggy submission (verdict: Runtime Error):
import math
N = int(input())
x = math.ceil(n)
ans = [0]*N

def f(x,y,z):
    return x**2+y**2+z**2+x*y+y*z+z*x

for i in range(1,x):
    for j in range(i,x):
        for k in range(j,x):
            s = f(i,j,k)
            t = len(set([i,j,k]))
            if n < s:
                pass
            else:
                if t == 3:
                    ans[s-1] += 6
                elif t == 2:
                    ans[s-1] += 3
                elif t ==1:
                    ans[s-1] += 1
for i in range(len(ans)):
    print(ans[i])
Problem p02675 (python)

Fixed submission:
n = int(input())
p = n%10
hon = [2,4,5,7,9]
pon = [0,1,6,8]
if p in hon:
    print('hon')
elif p in pon:
    print('pon')
else:
    print('bon')

Buggy submission (verdict: Runtime Error):
a,b,h,m = map(int,input().split())
import math
alp = 0.5*(h*60+m)/180*math.pi
be = 6*m/180*math.pi
if alp >=be:
    if alp-be < math.pi: 
        l = (a**2+b**2 - 2*a*b*math.cos(alp - be))**(1/2)
    else:
        l = (a**2+b**2 + 2*a*b*math.cos(alp - be))**(1/2)
else:
    if be-alp < math.pi:
        l = (a**2+b**2 - 2*a*b*math.cos(be - alp))**(1/2)
    else:
        l = (a**2+b**2 + 2*a*b*math.cos(be - alp))**(1/2)
print(l)
Problem p02681 (python)

Fixed submission:
s = input()
t = input()
if t.find(s) == 0 and len(t)-len(s) == 1:
    print('Yes')
else:
    print('No')

Buggy submission (verdict: Runtime Error):
import numpy as np
n,m,x = map(int,input().split())
l = []
for i in range(n):
    l.append(np.array(input().split(),dtype=int)) 
import itertools
num = [i for i in range(n)]
min = 100000000000001
k = 1
while k <n+1:
    a = list(itertools.combinations(num, k))
    for i in range(len(a)):
        total =np.zeros(m+1,dtype=int)
        for j in range(len(a[i])):
            total +=l[a[i][j]]
        if np.sum(np.where(total < x)[0]) <=0:
            if min > total[0]:
                min = total[0]
                k = n+2
    k +=1
if min == 100000000000001:
  print(-1)
else:
  print(min)
Problem p02684 (python)

Fixed submission:
N, K = map(int, input().split())
A = list(map(int, input().split()))
# = [int(input()) for i in range(N)]
# = [list(map(int, input().split())) for i in range(N)]
next = 1
List = [-1]*N
 
for i in range(K):
    if List[next-1] == -1:
        List[next-1] = i
        next = A[next-1]
 
    else:
        loop = i - List[next-1]
        afterloop = (K-(i-loop))%loop
        print(List.index((i-loop) + afterloop)+1)
        exit()
 
print(next)

Buggy submission (verdict: Runtime Error):
n,k = map(int,input().split())
a = input().split()
b = [0]*n
d = {}
ind = 1
num = 0
loop = 1
while num == k:
    if b[ind-1] == 0:
        b[ind-1] = -1
        d[ind] = num
        num += 1
        ind = int(a[ind-1])
    else:
        loop = num-d[ind]
        sup = d[ind]
        break

if k-sup >=0:
    for i in range((k-sup)%loop):
        ind = int(a[ind-1])

print(ind)

Buggy submission (verdict: Runtime Error):
n,k = map(int,input().split())
a = input().split()
b = [0]*n
d = {}
ind = 1
num = 0
while True:
    if b[ind-1] == 0:
        b[ind-1] = -1
        d[ind] = num
        num += 1
        ind = int(a[ind-1])
    else:
        loop = num-d[ind]
        sup = d[ind]
        break


for i in range((k-sup)%loop):
    ind = int(a[ind-1])
print(int(a[ind]))
Problem p03608 (python)

Fixed submission:
from itertools import product, permutations


def warshall_floyd(d):
    # d        : nxn adjacent matrix
    for k, i, j in product(range(n), repeat=3):
        if d[i][j] > d[i][k] + d[k][j]:
            d[i][j] = d[i][k] + d[k][j]


INF = float("inf")
n, m, r = map(int, input().split())
r_list = list(map(lambda x: int(x) - 1, input().split()))
d = [[INF] * n for _ in range(n)]
for i in range(n):
    d[i][i] = 0
for i in range(m):
    a, b, c = map(int, input().split())
    a, b = a - 1, b - 1
    d[a][b] = d[b][a] = c
warshall_floyd(d)

ans = float("inf")
for np in permutations(r_list):
    cand = sum([d[np[i]][np[i + 1]] for i in range(r - 1)])
    ans = min(ans, cand)

print(ans)

Buggy submission (verdict: Runtime Error):
import numpy
import sys
import itertools
input = sys.stdin.readline
inf = 200000000
n, m, r = map(int, input().split())
rs = list(map(int, input().split()))
n1 = n + 1
d = numpy.full((n1 * n1), inf)
for i in range(n1):
    d[i, i] = 0
for i in range(m):
    a, b, c = map(int, input().split())
    d[a * n1 + b] = d[b, + a] = c
for k, i, j in itertools.product(range(1, n1), repeat=3):
    d[i, j] = d[j, i] = min(
        d[i, j],
        d[i, k] + d[k, j])
s = inf
for q in itertools.permutations(range(r)):
    t = 0
    for i in range(r-1):
        t += d[rs[q[i]], rs[q[i+1]]]
    if s > t:
        s = t
print(s)
Problem p02609 (python)

Fixed submission:
import sys
input = sys.stdin.readline
N = int(input())
X = input().strip()

def solve(N,X):
    if not '1' in X:
        for i in range(N):
            print(1)
        exit()

    def popcount(n):
        t = 0
        while n > 0:
            k = bin(n).count('1')
            n %= k
            t += 1
        return t

    X1 = X.count('1')

    Rp1 = []
    Rm1 = []
    Bp1 = []
    Bm1 = []

    for i, x in enumerate(list(X[::-1])):
        tp1 = pow(2,i,X1+1)
        if X1-1 > 0:
            tm1 = pow(2,i,X1-1)
        else:
            tm1 = 0
        Bp1.append(tp1)
        Bm1.append(tm1)
        if x == '1':
            Rp1.append(tp1)
            Rm1.append(tm1)
        else:
            Rp1.append(0)
            Rm1.append(0)

    basep1 = sum(Rp1) % (X1+1)
    if X1-1 > 0:
        basem1 = sum(Rm1) % (X1-1)
    else:
        basem1 = 0
    Rp1 = Rp1[::-1]
    Rm1 = Rm1[::-1]
    Bp1 = Bp1[::-1]
    Bm1 = Bm1[::-1]

    #print("base",basep1)
    #print("base",basem1)
    for bp1,bm1,x in zip(Bp1,Bm1,X):
        if x == '1':
            t = basem1 - bm1
            MOD = X1 - 1
            if MOD <= 0:
                print(0)
                continue
        else:
            t = basep1 + bp1
            MOD = X1 + 1
        #print("x",x,"t",t)
        #print(t % MOD,MOD)
        print(popcount(t % MOD) + 1)

solve(N,X)

Buggy submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
N = int(input())
X = input().strip()

if not '1' in X:
    for i in range(N):
        print(0)
    exit()

M = 2*10**5+ 1
pc = [0]*(M+2)
for i in range(1,M+2):
    j = i
    t = 0
    while i > 0:
        k = bin(i).count('1')
        i %= k
        t += 1
    pc[j] = t

X1 = X.count('1')
X0 = N - X1

Rp1 = []
Rm1 = []
Bp1 = []
Bm1 = []
for i, x in enumerate(list(X[::-1])):
    tp1 = pow(2,i,X1+1)
    tm1 = pow(2,i,X1-1)
    Bp1.append(tp1)
    Bm1.append(tm1)
    if x == '1':
        Rp1.append(tp1)
        Rm1.append(tm1)
    else:
        Rp1.append(0)
        Rm1.append(0)

basep1 = sum(Rp1)
basem1 = sum(Rm1)
Rp1 = Rp1[::-1]
Rm1 = Rm1[::-1]
Bp1 = Bp1[::-1]
Bm1 = Bm1[::-1]

#print("base",basep1)
#print("base",basem1)
for bp1,bm1,x in zip(Bp1,Bm1,X):
    if x == '1':
        t = basem1 - bm1
        MOD = X1 - 1
    else:
        t = basep1 + bp1
        MOD = X1 + 1

    #print("x",x,"t",t)
    #print(t % MOD,MOD)
    print(pc[t % MOD] + 1)
Problem p02686 (python)

Fixed submission:
from collections import deque,defaultdict
import bisect
N = int(input())
S = [input() for i in range(N)]

def bend(s):
    res = 0
    k = 0
    for th in s:
        if th == '(':
            k += 1
        else:
            k -= 1
        res = min(k,res)
    return res

species = [(bend(s),s.count('(')-s.count(')')) for s in S]

ups = [(b,u) for b,u in species if u > 0]
flats = [(b,u) for b,u in species if u == 0]
downs = [(b,u) for b,u in species if u < 0]


ups.sort()
high = 0
for b,u in ups[::-1] + flats:
    if high + b < 0:
        print('No')
        exit()
    high += u

rdowns = [(b-u,-u) for b,u in downs]
rdowns.sort()
high2 = 0
for b,u in rdowns[::-1]:
    if high2 + b < 0:
        print('No')
        exit()
    high2 += u

if high == high2:
    print('Yes')
else:
    print('No')

Buggy submission (verdict: Runtime Error):
from collections import deque,defaultdict
import bisect
N = int(input())
S = [input() for i in range(N)]

class SegmentTree:
    def __init__(self,data,op,default):
        N = len(data)
        self.N = N
        self.op = op
        self.default = default
        self.l = 2**((N-1).bit_length())
        self.data = [default]*self.l + data + [default]*(self.l-N)
        for i in range(self.l-1,0,-1):
            self.data[i] = op(self.data[2*i], self.data[2*i+1])

    def set(self,i,val):
        i += self.l
        self.data[i] = val
        i = i//2
        while i > 0:
            self.data[i] = self.op(self.data[2*i], self.data[2*i+1])
            i = i//2

    def get(self,i,j):
        i += self.l
        j += self.l
        s = self.default 
        while j-i > 0:
            if i & 1:
                s = self.op(s,self.data[i])
                i += 1
            if j & 1:
                s = self.op(s,self.data[j-1])
                j -= 1
            i = i//2
            j = j//2
        return s

def bend(s):
    res = 0
    k = 0
    for th in s:
        if th == '(':
            k += 1
        else:
            k -= 1
        res = min(k,res)
    return res

LmR = defaultdict(list)
inf = -10**7
for s in S:
    LmR[bend(s)].append(s.count('(')-s.count(')'))
LmR = dict(LmR)
for k in LmR.keys():
    LmR[k].append(inf)
    LmR[k].sort(reverse=True)
    LmR[k] = deque(LmR[k])

keys = sorted(LmR.keys())
nk = len(keys)

comp = {k:i for i,k in enumerate(keys)}
seg = SegmentTree([(LmR[k].popleft(),k) for k in keys], lambda x,y : (x if x[0] > y[0] else y), (inf,inf))

cumsum = 0
for i in range(N):
    ind = bisect.bisect_left(keys,-cumsum)
    m,n = seg.get(ind-1,nk)
    if n == inf:
        print('No')
        exit()
    if cumsum + n < 0:
        print('No')
        exit()
    cumsum += m
    new = LmR[n].popleft()
    seg.set(comp[n], (new,n))

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