Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**9)

def solve():
    ordA = ord('a')

    N = int(input())
    Sss = [input().rstrip() for _ in range(N)]

    Sss.sort(key=lambda x: len(x))

    fsss = []
    Ass = []
    for Ss in Sss:
        As = [ord(S)-ordA for S in Ss[::-1]]
        Ass.append(As)
        fss = []
        fs = [0] * 26
        for i in reversed(range(len(As))):
            fs[As[i]] = 1
            fss.append(fs[:])
        fsss.append(fss[::-1])

    ans = 0
    nodes = []
    nodes.append([-1]*26)
    nums = []
    nums.append([0]*26)
    numNode = 1
    for As, fss in zip(Ass, fsss):
        lenA = len(As)
        iNode = 0
        for j in range(lenA):
            A = As[j]
            fs = fss[j]
            for c in range(26):
                if fs[c]:
                    ans += nums[iNode][c]

            if nodes[iNode][A] == -1:
                nodes.append([-1]*26)
                nums.append([0]*26)
                nodes[iNode][A] = numNode
                numNode += 1
            else:
                pass

            if j == lenA-1:
                nums[iNode][As[-1]] += 1

            iNode = nodes[iNode][A]

    print(ans)


solve()


### FIXED CODE ###

import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**9)

def solve():
    ordA = ord('a')

    N = int(input())
    Ass = []
    for _ in range(N):
        Ss = input().rstrip()
        As = [ord(S)-ordA for S in Ss[::-1]]
        Ass.append(As)

    Ass.sort(key=lambda x: len(x))

    fsss = []
    for As in Ass:
        fss = []
        fs = [0] * 26
        for i in reversed(range(len(As))):
            fs[As[i]] = 1
            fss.append(fs[:])
        fsss.append(fss[::-1])

    ans = 0
    nodes = []
    nodes.append([-1]*26)
    nums = []
    nums.append([0]*26)
    numNode = 1
    for As, fss in zip(Ass, fsss):
        lenA = len(As)
        iNode = 0
        for j in range(lenA):
            A = As[j]
            fs = fss[j]
            for c in range(26):
                if fs[c]:
                    ans += nums[iNode][c]

            if nodes[iNode][A] == -1:
                nodes.append([-1]*26)
                nums.append([0]*26)
                nodes[iNode][A] = numNode
                numNode += 1
            else:
                pass

            if j == lenA-1:
                nums[iNode][As[-1]] += 1

            iNode = nodes[iNode][A]

    print(ans)


solve()
### BUGGY CODE ###

import math

N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()

def countComb(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

bignum = 10 ** 9 + 7

totalMaxA = 0
totalMinA = 0
for i in range(K-1, N):
  totalMaxA += A[i] * countComb(i, K-1) % bignum
for i in range(N-K+1):
  totalMinA += A[i] * countComb(N-i-1, K-1) % bignum

print((totalMaxA - totalMinA)%bignum)


### FIXED CODE ###

import math

N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()

def countComb(n, r, p):
    if (r < 0) or (n < r):
        return 0
    r = min(r, n - r)
    return fact[n] * factinv[r] * factinv[n-r] % p

p = 10 ** 9 + 7
NN = 10 ** 6  # N は必要分だけ用意する
fact = [1, 1]  # fact[n] = (n! mod p)
factinv = [1, 1]  # factinv[n] = ((n!)^(-1) mod p)
inv = [0, 1]  # factinv 計算用
 
for i in range(2, NN + 1):
    fact.append((fact[-1] * i) % p)
    inv.append((-inv[p % i] * (p // i)) % p)
    factinv.append((factinv[-1] * inv[-1]) % p)

#print(cmb(n, r, p))

totalMaxA = 0
totalMinA = 0
for i in range(K-1, N):
  totalMaxA += A[i] * countComb(i, K-1, p)
for i in range(N-K+1):
  totalMinA += A[i] * countComb(N-i-1, K-1, p)

print((totalMaxA - totalMinA) % p)
### BUGGY CODE ###

R, G, B, N = map(int, input().split())
ans = 0
for r in range(N + 1):
    for g in range(N + 1):
        b = (N - R * r - G * g) / B
        if b >= 0 and int(b) == b:
            ans += 1
print(ans)


### FIXED CODE ###

R, G, B, N = map(int, input().split())
ans = 0
for r in range(N + 1):
    for g in range(N + 1):
        b = (N - r * R - g * G) / B
        if int(b) == b and b >= 0:
            ans += 1

print(ans)
### BUGGY CODE ###

# coding: utf-8

N, M = (int(x) for x in input().split())

#pass_ids = [x for x in range(N)]
#for i in range(M):
#	L, R = (int(x) - 1 for x in input().split())
#	pass_ids = [x for x in pass_ids if L <= x <= R]
#
#print(len(pass_ids))

non_pass_ids = set()
for i in range(M):
	L, R = (int(x) - 1 for x in input().split())
	for x in range(0, L):
		non_pass_ids.add(x)
	for x in range(R + 1, N):
		non_pass_ids.add(x)

print(N - len(non_pass_ids))

### FIXED CODE ###

# coding: utf-8

N, M = (int(x) for x in input().split())

pass_ids = [x for x in range(N)]

L_max, R_min = 0, N
for i in range(M):
	L, R = (int(x) - 1 for x in input().split())
	
	if L_max < L:
		L_max = L
	if R_min > R:
		R_min = R


if L_max < R_min + 1:
	print(len(list(range(L_max, R_min + 1))))
else:
	print("0")
### BUGGY CODE ###

import sys

stdin = sys.stdin

ni = lambda: int(ns())
na = lambda: list(map(int, stdin.readline().split()))
ns = lambda: stdin.readline().rstrip()  # ignore trailing spaces

sys.setrecursionlimit(100005)

n, k = na()
g = [[] for _ in range(n)]
for _ in range(n - 1):
    a, b = na()
    g[a - 1].append(b - 1)
    g[b - 1].append(a - 1)

mod = 10**9 + 7


def dfs(cur, par, k, g):
    ret = 1
    nc = 0 if par == -1 else 1
    for e in g[cur]:
        if e == par: continue
        nc += 1
        ret = ret * (k - nc) % mod
        ret = ret * dfs(e, cur, k, g) % mod
    return ret % mod


print(dfs(0, -1, k, g) * k % mod)


### FIXED CODE ###

import sys

stdin = sys.stdin

ni = lambda: int(ns())
na = lambda: list(map(int, stdin.readline().split()))
ns = lambda: stdin.readline().rstrip()  # ignore trailing spaces

sys.setrecursionlimit(100005)

n, k = na()
g = [[] for _ in range(n)]
for _ in range(n - 1):
    a, b = na()
    g[a - 1].append(b - 1)
    g[b - 1].append(a - 1)

mod = 10**9 + 7


def dfs(cur, par, k, g):
    ret = 1
    nc = 0 if par == -1 else 1
    for e in g[cur]:
        if e == par: continue
        nc += 1
        ret = ret * (k - nc) % mod
        ret = ret * dfs(e, cur, k, g) % mod
    return ret % mod


print(dfs(0, -1, k, g) * k % mod)
### BUGGY CODE ###

import sys
input = sys.stdin.readline


n, q = map(int, input().split())
events = []
for _ in range(n):
    start, end, pos = map(int, input().split())
    events.append([start - pos, True, pos])
    events.append([end - pos, False, pos])

events.sort()

idx = 0
candidates = set()
time, is_under_construction, pos = events[idx]
for _ in range(q):
    departure = int(input())

    while time <= departure:
        if is_under_construction:
            candidates.add(pos)
        else:
            candidates.discard(pos)
        idx += 1
        if idx == 2 * n:
            time = float('INF')
            break
        time, is_under_construction, pos = events[idx]

    if not candidates:
        print(-1)
    else:
        print(min(candidates))


### FIXED CODE ###

import sys
input = sys.stdin.readline


n, q = map(int, input().split())
events = []
for _ in range(n):
    start, end, pos = map(int, input().split())
    events.append([start - pos, 1, pos])
    events.append([end - pos, 0, pos])

events.sort()

departures = [int(input()) for _ in range(q)]

idx = 0
mini = 10**10
mini_check = False
candidates = set()
time, is_under_construction, pos = events[idx]
for departure in departures:
    while time <= departure:
        if is_under_construction:
            candidates.add(pos)
            if pos < mini:
                mini = pos
                mini_check = True
        else:
            candidates.remove(pos)
            if pos == mini:
                mini_check = False
        idx += 1
        if idx == 2 * n:
            time = float('INF')
            break
        time, is_under_construction, pos = events[idx]

    if not candidates:
        print(-1)
    else:
        if not mini_check:
            mini = min(candidates)
            mini_check = True
        print(mini)
### BUGGY CODE ###

H,W=map(int, input().split())
A=[list(input()) for _ in range(H)]

#dp[i][j]=最も近い黒マスまでの最小マンハッタン距離
INF=10**9
dp = [[INF] * W for _ in range(H)]

#黒マスを起点にDFS
def dfs(si,sj):
    dp[si][sj] = 0
    stk = [(si,sj,0)]
    while stk:
        i,j,d = stk.pop()
        for di,dj in ((1,0),(-1,0),(0,1),(0,-1)):
            ti,tj,td = i+di,j+dj,d+1
            if (not 0<=ti<H) or (not 0<=tj<W): continue
            if dp[ti][tj] <= td: continue
            if A[ti][tj] == '#': td = 0
            dp[ti][tj] = td
            stk.append((ti,tj,td))

for i in range(H):
    for j in range(W):
        if A[i][j] == "#":
            dfs(i,j)
            break

ans=0
for i in range(H):
    for j in range(W):
        ans = max(ans, dp[i][j])
print(ans)

### FIXED CODE ###

from collections import deque
H,W=map(int,input().split())
A=[list(input()) for _ in range(H)]

q=deque()

#黒マスを探す
for w in range(W):
    for h in range(H):
        if A[h][w]=='#':
            q.append((h,w,0))

#BFS
ans=0
while q:
    h,w,d = q.popleft()
    ans=max(ans,d)
    for dh,dw in [(0,1),(1,0),(0,-1),(-1,0)]:
        nh,nw = h+dh, w+dw
        if nh<0 or nh>=H or nw<0 or nw>=W:
            continue
        if A[nh][nw]=='#':
            continue
        A[nh][nw]='#'
        q.append((nh,nw,d+1))

print(ans)
### BUGGY CODE ###

N, X = map(int, input().split())
s_list = list(map(int, input().split()))

s_list.sort(reverse=True)

mod = 10 ** 9 + 7

dp = [[0] * (X + 1) for _ in range(N + 1)]
dp[0][X] = 1

for i in range(N):
    for x in range(X + 1):
        if dp[i][x] == 0:
            continue
        s = s_list[i]
        dp[i + 1][x % s] += dp[i][x]
        dp[i + 1][x % s] %= mod
        dp[i + 1][x] += dp[i][x] * (N - i - 1)
        dp[i + 1][x] %= mod

ans = 0
for x in range(1, X + 1):
    ans += dp[N][x] * x
    ans %= mod
print(ans)


### FIXED CODE ###

N, X = map(int, input().split())
s_list = list(map(int, input().split()))

s_list.sort(reverse=True)

mod = 10 ** 9 + 7

dp = [[0] * (X + 1) for _ in range(N + 1)]
dp[0][X] = 1

for i in range(N):
    for x in range(X + 1):
        if dp[i][x] == 0:
            continue
        s = s_list[i]
        dp[i + 1][x % s] += dp[i][x]
        dp[i + 1][x % s] %= mod
        dp[i + 1][x] += dp[i][x] * (N - i - 1)
        dp[i + 1][x] %= mod

ans = 0
for x in range(1, X + 1):
    ans += dp[N][x] * x
    ans %= mod
print(ans)
### BUGGY CODE ###

import numpy as np
N = int(input())
s = str(input())
maxlen = N//2

def solve(tgt):
    for i in range(N-tgt*2+1):
        src = s[i:i+tgt]
        if src in s[i+tgt:]:
            return True
    return False

ng = maxlen + 1
ok = 0
while np.abs(ok-ng) > 1:
    tgt = (ok+ng)//2
    if solve(tgt):
        ok = tgt
    else:
        ng = tgt
print(ok)


### FIXED CODE ###

from collections import defaultdict as dd
N = int(input())
s = str(input())
maxlen = N//2

def solve(tgt):
    dic = dd(int)
    st = s[tgt:2*tgt]
    dic[st] += 1
    ls = [st]
    for char in s[2*tgt:]:
        st = st[1:]+char
        dic[st] += 1
        ls.append(st)
    st = s[:tgt]
    if dic[st] > 0:
        return True
    dic[ls[0]] -= 1
    for i,char in enumerate(s[tgt:N-tgt]):
        st = st[1:]+char
        if dic[st] > 0:
            return True
        dic[ls[i+1]] -= 1
    return False

ng = maxlen + 1
ok = 0
while ng-ok > 1:
    tgt = (ok+ng)//2
    if solve(tgt):
        ok = tgt
    else:
        ng = tgt
print(ok)
### BUGGY CODE ###

import heapq

def dijkstra(ad_lst, n, s, t):
    inf = float('inf')
    costs = [inf for i in range(n+1)]
    costs[s] = 0
    Q = []
    heapq.heappush(Q, [costs[s], s])

    while(Q != []):
        c, u = heapq.heappop(Q)
        for v, c in ad_lst[u]:
            if costs[u] + c < costs[v]:
                alt = costs[u] + c
                heapq.heappush(Q, [alt, v])
                costs[v] = alt

    return costs

n,m,s,t, = map(int, input().split())

route_y = {i: [] for i in range(n+1)}
route_s = {i: [] for i in range(n+1)}
for i in range(m):
    u, v, a, b = map(int, input().split())
    route_y[u].append([v,a])
    route_y[v].append([u,a])
    route_s[u].append([v,b])
    route_s[v].append([u,b])

cost_y = dijkstra(route_y, n, s, t)
cost_s = dijkstra(route_s, n, t, s)
cost_ys = [y+s for y,s in zip(cost_y, cost_s)]

inf = float('inf')
result = [inf for _ in range(n+1)]
min_cost = result[-1]
for i in range(n, 0, -1):
    if min_cost > cost_ys[i]:
        min_cost = cost_ys[i]
    result[i] = min_cost
yen = 10**15
[print(yen-result[i]) for i in range(1, n+1)]


### FIXED CODE ###

import heapq
from itertools import accumulate
inf = float('inf')

def dijkstra(ad_lst, n, s):
    costs = [inf for i in range(n+1)]
    costs[s], Q = 0, []
    heapq.heappush(Q, [costs[s], s])

    while(Q != []):
        c, u = heapq.heappop(Q)
        for v, c in ad_lst[u].items():
            if costs[u] + c < costs[v]:
                heapq.heappush(Q, [costs[u] + c, v])
                costs[v] = costs[u] + c

    return costs

n,m,s,t, = map(int, input().split())

route_y = {i: {} for i in range(n+1)}
route_s = {i: {} for i in range(n+1)}
for i in range(m):
    u, v, a, b = map(int, input().split())
    route_y[u][v] = a
    route_y[v][u] = a
    route_s[u][v] = b
    route_s[v][u] = b

cost_y = dijkstra(route_y, n, s)
cost_s = dijkstra(route_s, n, t)
result = list(accumulate([y+s for y,s in zip(cost_y, cost_s)][::-1], min))
yen = 10**15
[print(yen-result[i]) for i in range(n-1, -1, -1)]
### BUGGY CODE ###

from collections import deque
H, W = map(int, input().split())
maze = [list(input()) for _ in range(H)]


def bfs(x, y):
    visited, queue = [], deque([(x, y, 0)])
    max_cost = 0
    while queue:
        px, py, cost = queue.popleft()
        max_cost = max(max_cost, cost)

        candidate = ((px + 1, py), (px - 1, py), (px, py + 1), (px, py - 1))
        visited.append((px, py))
        for cx, cy in candidate:
            if 0 <= cx < W and 0 <= cy < H and not (cx, cy) in visited and maze[cy][cx] == ".":
                queue.append((cx, cy, cost + 1))
    return max_cost


ans = 0
for y in range(H):
    for x in range(W):
        if maze[y][x] == "#":
            continue
        ans = max(ans, bfs(x, y))

print(ans)

### FIXED CODE ###

H, W = map(int, input().split())
m = [list(input()) for _ in range(H)]
inf = 10**3

V = H*W
maze = [[inf]*V for _ in range(V)]

for i in range(V):
    maze[i][i] = 0

for py in range(H):
    for px in range(W):
        if m[py][px] == "#":
            continue
        candidate = [(px+1, py), (px-1, py), (px, py+1), (px, py-1)]
        for x, y in candidate:
            if not (0<=x<W and 0<=y<H):continue
            if m[y][x] == "#":
                continue
            maze[W*py+px][W*y+x] = 1

for k in range(V):
    for i in range(V):
        for j in range(V):
            maze[i][j] = min(maze[i][j], maze[i][k]+maze[k][j])

print(max([j for i in maze for j in i if j!=inf]))
### BUGGY CODE ###

import bisect
N, M = list(map(int, input().split(' ')))
As = list(map(int, input().split(' ')))
# osoi
As = sorted([-a for a in As])
while M:
    hoge = -As.pop(0) // 2
    M -= 1
    while M and As and hoge < As[1]:
        hoge = hoge // 2
        M -= 1
    bisect.insort(As, -hoge)
print(-sum(As))


### FIXED CODE ###

import math
import heapq
n, k = list(map(int, input().split(' ')))
aaa = list(map(int, input().split(' ')))
aaa = [-a for a in aaa]
heapq.heapify(aaa)
for i in range(k):  # TLE?
    t = heapq.heappop(aaa)
    t = math.ceil(t/2)
    heapq.heappush(aaa, t)
print(-sum(aaa))
### BUGGY CODE ###

import fractions
K = int(input())
A = B = C = [i for i in range(1, K+1)]
 
cnt = 0
for a in A:
  for b in B:
    for c in C:
      ans = fractions.gcd(a, b)
      ans = fractions.gcd(ans, c)
      cnt += ans
print(cnt)

### FIXED CODE ###

def gcd(a, b):
    while b:
        a, b = b, a % b
    return a
  
K = int(input())
A = B = C = [i for i in range(1, K+1)]

L = [gcd(a,b) for a in A for b in B]

cnt = sum([gcd(l,c) for l in L for c in C])   
print(cnt)
### BUGGY CODE ###

from sys import stdin
import math
import fractions
from collections import deque
from collections import Counter
import itertools

INF = 10 ** 10

N, K  = [int(x) for x in stdin.readline().rstrip().split()]
A = [0] + [int(x) for x in stdin.readline().rstrip().split()]

stack = deque([1])
nextt = A[1]

while True:
    if not nextt in stack:
        stack.append(nextt)
    else:
        stack.append(nextt)
        break
    nextt = A[nextt]

if len(stack) > K:
    print(stack[K])
    exit()
else:
    num1 = stack.pop()
    length = len(stack)
    tmp = deque([])
    while True:
        num2 = stack.pop()
        if num1 != num2:
            tmp.append(num2)
        else:
            tmp.append(num2)
            break

tmp = list(tmp)[::-1]

index = (K - length) % len(tmp)

print(tmp[index])
    


### FIXED CODE ###

from sys import stdin
import math
import fractions
from collections import deque
from collections import Counter
import itertools

INF = 10 ** 10

N, K  = [int(x) for x in stdin.readline().rstrip().split()]
A = [0] + [int(x) for x in stdin.readline().rstrip().split()]

stack = [1]
nextt = A[1]
visited_dict = {1: True}

while True:
    if not visited_dict.get(nextt, False):
        stack.append(nextt)
        visited_dict[nextt] = True
    else:
        stack.append(nextt)
        break
    nextt = A[nextt]

    if len(stack) > K:
        print(stack[K])
        exit()

num1 = stack.pop()
length = len(stack)
tmp = []
while True:
    num2 = stack.pop()
    if num1 != num2:
        tmp.append(num2)
    else:
        tmp.append(num2)
        break

tmp = tmp[::-1]

index = (K - length) % len(tmp)

print(tmp[index])
### BUGGY CODE ###

# coding: UTF-8
import sys
#sys.setrecursionlimit(n)
import heapq
import re
import bisect
import random
import math
import itertools
from collections import defaultdict, deque
from copy import deepcopy
from decimal import *
count = 0
def prime_decomposition(n):
    i = 2
    table = []
    global count
    while i * i <= n:
        while n % i == 0:
            n /= i
            table.append(i)
            if i == 2:
                count += 1
        i += 1
    if n > 1:
        table.append(i)
        if i == 2:
            count += 1
    return table
readl= lambda: list(map(int, sys.stdin.readline().split()))
readt= lambda: tuple(map(int, sys.stdin.readline().split()))
read = lambda: sys.stdin.readline().rstrip()
readi = lambda: int(read())
readmi = lambda: map(int, sys.stdin.readline().split())
readms = lambda: map(str, sys.stdin.readline().split())

n = readi()
p = readl()

for i in p:
    prime_decomposition(i)
print(count)


### FIXED CODE ###

# coding: UTF-8
import sys
#sys.setrecursionlimit(n)
import heapq
import re
import bisect
import random
import math
import itertools
from collections import defaultdict, deque
from copy import deepcopy
from decimal import *
readl= lambda: list(map(int, sys.stdin.readline().split()))
readt= lambda: tuple(map(int, sys.stdin.readline().split()))
read = lambda: sys.stdin.readline().rstrip()
readi = lambda: int(read())
readmi = lambda: map(int, sys.stdin.readline().split())
readms = lambda: map(str, sys.stdin.readline().split())

n = readi()
p = readl()
count = 0
for i in p:
    while(i % 2 == 0):
        i //= 2
        count += 1
print(count)
### BUGGY CODE ###

mod=10**9+7
s=input()
n=len(s)
Sum_A=[0]*(n+1)
Sum_B=[0]*(n+1)
Sum_C=[0]*(n+1)
Sum_q=[0]*(n+1)
for i in range(1, n+1):
    Sum_A[i]=Sum_A[i-1]
    Sum_B[i]=Sum_B[i-1]
    Sum_C[i]=Sum_C[i-1]
    Sum_q[i]=Sum_q[i-1]
    if s[i-1]=='A':
        Sum_A[i]+=1
    elif s[i-1]=='B':
        Sum_B[i]+=1
    elif s[i-1]=='C':
        Sum_C[i]+=1
    else:
        Sum_q[i]+=1
ans=0
def count(x, q):
    return int(x*3**q+q*3**(q-1))
for i in range(n):
    if s[i]=='B' or s[i]=='?':
        ans+=count(Sum_A[i], Sum_q[i])*count(Sum_C[n]-Sum_C[i+1], Sum_q[n]-Sum_q[i+1])
print(ans%mod)

### FIXED CODE ###

mod=10**9+7
s=input()
n=len(s)
Sum_A=[0]*(n+1)
Sum_B=[0]*(n+1)
Sum_C=[0]*(n+1)
Sum_q=[0]*(n+1)
for i in range(1, n+1):
    Sum_A[i]=Sum_A[i-1]
    Sum_C[i]=Sum_C[i-1]
    Sum_q[i]=Sum_q[i-1]
    if s[i-1]=='A':
        Sum_A[i]+=1
    elif s[i-1]=='C':
        Sum_C[i]+=1
    elif s[i-1]=='?':
        Sum_q[i]+=1
ans=0
def count(x, q):
    return int(x*pow(3, q, mod)+q*pow(3, (q-1), mod)) if q>0 else int(x*pow(3, q, mod))
for i in range(n):
    if s[i]=='B' or s[i]=='?':
        ans+=count(Sum_A[i], Sum_q[i])*count(Sum_C[n]-Sum_C[i+1], Sum_q[n]-Sum_q[i+1])
        ans%=mod
print(ans)
### BUGGY CODE ###

S = input()
r, ans = 3, 0
for l in range(len(S)):
    while r < len(S):
        if int(S[l:r+1]) % 2019 == 0:
            ans += 1
            break
        r += 1
    r = l + 3
print(ans)


### FIXED CODE ###

import sys
from collections import deque
def input():
    return sys.stdin.readline()[:-1]

S = deque(map(int, list(input())))
num = 0
dict = {}
dict[0] = 1
ans = 0

for i in range(len(S)):
    num += S.pop() * pow(10,i,2019)
    cand = num % 2019
    if cand in dict.keys():
        dict[cand] += 1
    else:
        dict[cand] = 1

for key in dict.keys():
    ans += dict[key] * (dict[key] - 1) // 2
print(ans)
### BUGGY CODE ###

import sys
sys.setrecursionlimit(1000000)

n, q = [int(i) for i in input().split()]
e = [[] for _ in range(n)]
for _ in range(n - 1):
    a, b = [int(i) - 1 for i in input().split()]
    e[a].append(b)
    e[b].append(a)

p = [0] * n
for _ in range(q):
    pp, x = [int(i) for i in input().split()]
    p[pp - 1] += x


def dfs(i=0, r=-1, po=0):
    p[i] += po
    for j in e[i]:
        if j == r:
            continue
        dfs(j, i,p[i])
dfs()

print(" ".join(map(str,p)))


### FIXED CODE ###

import sys

sys.setrecursionlimit(1000000)


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


n, q = [int(i) for i in input().split()]
ab = [[] for _ in range(n)]
for _ in range(n - 1):
    i, j = [int(i)-1 for i in input().split()]
    ab[i].append(j)
    ab[j].append(i)
p = [0]*n
for _ in range(q):
    i, j = [int(i) for i in input().split()]
    p[i-1] += j

al = [False]*n
pp = [0]*n


def a(i=0, j=0):
    al[i] = True
    j += p[i]
    pp[i] = str(j)
    for k in ab[i]:
        if not al[k]:
            a(k, j)


a()
print(" ".join(pp))
### BUGGY CODE ###

import sys
input=sys.stdin.readline
n,k=map(int,input().split())
h=list(map(int,input().split()))
dp=[0]*n
for i in range(1,n):
  kk=max(i-k,0)
  dp[i]=min(d+abs(hh-h[i])for d,hh in zip(dp[kk:i],h[kk:i]))
print(dp[n-1])


### FIXED CODE ###

import sys
input=sys.stdin.readline
n,k=map(int,input().split())
h=list(map(int,input().split()))
dp=[0]*n
for i in range(1,n):
  kk=max(i-k,0)
  dp[i]=min(d+abs(hh-h[i])for d,hh in zip(dp[kk:i],h[kk:i]))
print(dp[n-1])
### BUGGY CODE ###

from functools import cmp_to_key

n = int(input())
pref = []
suff = []

for i in range(n):
	s = input()
	pos = neg = 0
	for ch in s:
		if ch == '(':
			pos += 1
		elif pos == 0:
			neg += 1
		else:
			pos -= 1
	if pos >= neg:
		pref.append([pos, neg])
	else:
		suff.append([pos, neg])


def comp1(x, y):
	return x[1] - y[1]


def comp2(x, y):
	return -x[0] + y[0]


pref.sort( key=cmp_to_key(comp1))
suff.sort( key=cmp_to_key(comp2))

# pref.sort(key=lambda x: x[1])
# suff.sort(key=lambda x: -x[0])

pref += suff

totPos = 0

for pos, neg in pref:
	if neg > totPos:
		print("No")
		exit(0)
	totPos -= neg
	totPos += pos

if totPos != 0:
	print("No")
else:
	print("Yes")


### FIXED CODE ###

n = int(input())
ara = [input() for _ in range(n)]
pref = []
suff = []

for s in ara:
	pos = neg = 0
	for ch in s:
		if ch == '(':
			pos += 1
		elif pos == 0:
			neg += 1
		else:
			pos -= 1
	if pos >= neg:
		pref.append([pos, neg])
	else:
		suff.append([pos, neg])


pref.sort(key=lambda x: x[1])
suff.sort(key=lambda x: x[0], reverse=True)

totPos = 0

ara = pref + suff

for pos, neg in ara:
	if neg > totPos:
		print("No")
		exit(0)
	totPos -= neg
	totPos += pos


if totPos != 0:
	print("No")
else:
	print("Yes")