Harryxun/stf_run huggingface dataset:
from heapq import heappop, heappush
import sys
input = sys.stdin.readline

def calculate(N,M,arr):
    ret = 0

    j = 0

    res = []

    # 1,2,3,4,5
    #         ↑
    # 4,3,2,1

    # M = 4
    # range(1,5) => 1,2,3,4

    for i in range(1,M+1):
        # i = 1,2,3
        # 比如M=4的话，第三天(最多1天),第二天(最多2天),第一天(最多3天)

        # 记下来循环打工信息资源,以j为标记
        # j为资源编号
        # arr[j][0]为该编号资源的天数


        # 候补的资源，满足所有天数，因为是满足后续的天数来算的

        while (j < N) and (arr[j][0] <= i):

                heappush(res, -arr[j][1])
                j = j + 1 #j找到的话就往上顶一格，一共这一天，或者前一天寻找的时候以下一个资源天为开始

        if len(res) > 0:
            ret -= heappop(res)

    return ret


N,M = map(int,input().split())


# 后面的逻辑是基于前面的从小到大的排序的
list = [list(map(int,input().split())) for i in range(N)]

arr = sorted(list,key=lambda x:x[0])

result = calculate(5,3,arr)

print(result)



### FIXED CODE ###

from heapq import heappush, heappop
n, m = map(int, input().split())
jobs = {}
for _ in range(n):
  a, b = map(int, input().split())
  if a > m:
    continue
  if a in jobs:
    jobs[a].append(b)
  else:
    jobs[a] = [b]
result = 0
candidates = []
for a in range(1, m + 1):
  if a in jobs:
    for b in jobs[a]:
      heappush(candidates, -b)
  else:
    if len(candidates) == 0:
      continue
  result += -heappop(candidates)
print(result)
x = input()

print(x ** 3)

### FIXED CODE ###

x=int(input())

print(x**3)
#C - Colorful Leaderboard 

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

n = 399
a, b, c, d, e, f, g, h, z = 0,0,0,0,0,0,0,0,0

for i in A:
    if i >= 1 and i <= n:
        a = 1
    elif i >= 400 and i <= n + 400:
        b = 1
    elif i >= 2*400 and i <= 2*400 + n:
        c = 1
    elif i >= 3*400 and i <= 3*400 + n:
        d = 1
    elif i >= 4*400 and i <= 4*400 + n:
        e = 1
    elif i >= 5*400 and i <= 5*400 + n:
        f = 1
    elif i >= 6*400 and i <= 6*400 + n:
        g = 1
    elif i >= 7*400 and i <= 7*400 + n:
        h = 1
    else:
        z += 1

min_num, max_num = 0, 0
        
min_num = a+b+c+d+e+f+g+h

max_num = min(min_num + z)
min_num = max(1, min_num)

print(min_num,max_num)

### FIXED CODE ###

#C - Colorful Leaderboard 

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

n = 399
a, b, c, d, e, f, g, h, z = 0,0,0,0,0,0,0,0,0

for i in A:
    if i >= 1 and i <= n:
        a = 1
    elif i >= 400 and i <= n + 400:
        b = 1
    elif i >= 2*400 and i <= 2*400 + n:
        c = 1
    elif i >= 3*400 and i <= 3*400 + n:
        d = 1
    elif i >= 4*400 and i <= 4*400 + n:
        e = 1
    elif i >= 5*400 and i <= 5*400 + n:
        f = 1
    elif i >= 6*400 and i <= 6*400 + n:
        g = 1
    elif i >= 7*400 and i <= 7*400 + n:
        h = 1
    else:
        z += 1

min_num, max_num = 0, 0
        
min_num = a+b+c+d+e+f+g+h


max_num = min_num + z
min_num = max(1, min_num)

print(min_num,max_num)
s, w = map(int, input().split())
if w > s:
  print('unsafe')
else:
  print('safe;)

### FIXED CODE ###

s, w = map(int, input().split())
if w >= s:
  print('unsafe')
else:
  print('safe')
import fractions
n = int(input())
l = [int(i) for i in input().split()]
ans = l[0]
for i in range(n):
    ans = fractions.gcd(ans,a[i])

print(ans)



### FIXED CODE ###

import fractions
n = int(input())
l = [int(i) for i in input().split()]
ans = l[0]
for i in range(n):
    ans = fractions.gcd(ans,l[i])

print(ans)
s = input()

class RL():
  def __init__(self, ind, r, l):
    self.ind = ind
    self.r = r
    self.l = l
  
  def calc(self):
      return [1 + self.r // 2 + (self.l // 2 + 1 if self.l % 2 == 1 else self.l // 2), 1 + self.l // 2 + (self.r // 2 + 1 if self.r % 2 == 1 else self.r // 2)]
  
  def __str__(self):
    return f'{self.ind}: r {self.r} l {self.l}'


r = 0
l = 0
ind = 0
rl = False

rls = {}

for i, c in enumerate(s):
  if c == 'R' and not rl:
    r += 1
    continue
  if c == 'R' and rl:
    rls[ind - 1] = RL(ind - 1, r - 1, l)
    r = 1
    l = 0
    rl = False
    continue
  if c == 'L' and not rl:
    ind = i
    rl = True
    continue
  if c == 'L' and rl:
    l += 1
    continue

rls[ind - 1] = (RL(ind - 1, r - 1, l))

ans = []

skip = False

for i in range(len(s)):
  if skip:
    skip = False
    continue
  if i in rls:
    skip = True
    ans += rls[i].calc()
  else:
    ans.append(0)

print(' '.join(map(str, ans)))



### FIXED CODE ###

s = input()

class RL():
  def __init__(self, ind, r, l):
    self.ind = ind
    self.r = r
    self.l = l
  
  def calc(self):
      return [1 + self.r // 2 + (self.l // 2 + 1 if self.l % 2 == 1 else self.l // 2), 1 + self.l // 2 + (self.r // 2 + 1 if self.r % 2 == 1 else self.r // 2)]



r = 0
l = 0
ind = 0
rl = False

rls = {}

for i, c in enumerate(s):
  if c == 'R' and not rl:
    r += 1
    continue
  if c == 'R' and rl:
    rls[ind - 1] = RL(ind - 1, r - 1, l)
    r = 1
    l = 0
    rl = False
    continue
  if c == 'L' and not rl:
    ind = i
    rl = True
    continue
  if c == 'L' and rl:
    l += 1
    continue

rls[ind - 1] = (RL(ind - 1, r - 1, l))

ans = []

skip = False

for i in range(len(s)):
  if skip:
    skip = False
    continue
  if i in rls:
    skip = True
    ans += rls[i].calc()
  else:
    ans.append(0)

print(' '.join(map(str, ans)))
N = int(input())
S=list(input().split())
Slist = [0] * N
for i in range(N):
    Slist[i] = sorted(S[i])
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]
 
 if len(Slist) - len(get_unique_list(Slist)) == 0:
    print(0)
else:
    print(len(Slist) - len(get_unique_list(Slist)) + 1)

### FIXED CODE ###

from collections import Counter
 
N = int(input())
 
ans = {}
answer = 0
for _ in range(N):
    s = "".join(sorted(input()))
 
    if s not in ans:
        ans[s] = 0
 
    else:
        ans[s] += 1
        answer += ans[s]
 
print(answer)
if X < A:
　print('0')
else:
　print('10')

### FIXED CODE ###

X, A = map(int, input().split())
 
if X < A:
 print(0)
else:
 print(10)
N = int(input())
B_start, A_end, B__A, AB_in = 0, 0, 0, 0
for n in range(N) :
    star = input()
    if star[0] == "B" :
        B_start += 1
    if star[-1] == "A" :
        A_end += 1
        if star[0] == "B" :
            B__A += 1
    AB_in += star.count("AB")
    
if B_start == A_end and A_end == B__A :
    print(B__A+AB_in-1)
else :
    print(min(B_start, A_end)+AB_in)

### FIXED CODE ###

n, m = list(map(int, input().split()))
print(n-m+1)
n = input()
vli = list(map(int,input().split()))
cli = list(map(int,input().split()))
for i in n:
  sli = []
  sli.append(vli[i] - cli[i])
for j in n:
  ans = []
  if sli[j] > 0:
    ans.append(sli[j])
answer = sum(ans)    
print(answer)

### FIXED CODE ###

n = int(input())
vli = list(map(int,input().split()))
cli = list(map(int,input().split()))
ans = 0
for i in range(n):
  s=vli[i] - cli[i]
  if s>0:
    ans+=s
print(ans)
(a, b) = [int (x) for x in input().split()]

x = a // b
y = a % b
z = a / b

print('{1} {2} {3:.6f}'.format(x,y,z))

### FIXED CODE ###

(a, b) = [int (x) for x in input().split()]

x = a // b
y = a % b
z = a / b

print('{0} {1} {2:.6f}'.format(x,y,z))
n,d=map(int,inout().split())
a=2*d+1
print((n//a)+1)

### FIXED CODE ###

n,d=map(int,input().split())
a=(2*d)+1
if n%a==0:
  print(int(n/a))
else:
  print((n//a)+1)
import math


def main():
    A, B = map(int, input().split())

    print(A * B // math.gcd(A, B))


if __name__ == "__main__":
    main()


### FIXED CODE ###

import fractions


def main():
    A, B = map(int, input().split())

    print(A * B // fractions.gcd(A, B))


if __name__ == "__main__":
    main()
n, k = map(int, input().split())
a = list(map(int, input().split()))

zyun = [a[0]]
alr = [False]*n
alr[0] = True
crr = a[0]
idx = []

if k == 1:
    print(a[0])
    exit()
key = True

while key:
    if not alr[crr - 1]:
        alr[crr - 1] = True
        crr = a[crr - 1]
        zyun.append(crr)
        continue
    else:
        key = False

for i in range(n):
    if a[i] == crr:
        idx.append(a[i])
        break

index = idx[0]

if index - 1 == 0:
    zyun1 = zyun
    zyun2 = zyun
else:
    zyun1 = zyun[:index]
    zyun2 = zyun[index:]

# print(zyun1, zyun2)

if len(zyun1) >= k:
    ind = k % len(zyun1)
    if ind == 0:
        print(zyun1[-1])
    else:
        print(zyun1[ind - 1])
else:
    ind = (k - len(zyun1)) % len(zyun2)
    if ind == 0:
        print(zyun2[-1])
    else:
        print(zyun2[ind - 1])

### FIXED CODE ###

n, k = map(int, input().split())
a = [int(n) - 1 for n in input().split()]  # indexに合うように調整する
v = [-1] * n  # 到達してるかどうかを格納するリスト

D = [0]  # Dは循環するもののindexを格納する
v[0] = 0  # 初期スタート位置の到達ステータスは0

cur = a[0]  # 初期位置はindex=0
i = 1

while v[cur] == -1:
    D.append(cur)
    v[cur] = i # 到達済みに変更(iは何番目に到達したか）
    if k == i:  # 循環が発生する前にkの上限に達してしまった場合
        print(cur + 1)
        exit()

    i += 1
    cur = a[cur]

# 循環している場合を考える
k -= v[cur]  # 1回目の到達点を引く
k %= (i - v[cur])  # kを循環する回数で割った余りを考える = 循環した中でどれかという事が分かる

print(D[v[cur] + k] + 1)  # v[cur]で循環しない部分を表し、kで循環した中でどこかを表す
while True:
    x,y = map(int,input().split())
    if x > y:
        print(f'{y}{x})
    elif x < y:
        print(f'{x}{y})
    if x == 0 and y == 0:
        break


### FIXED CODE ###

while True:
    x,y = map(int,input().split())
    if x == 0 and y == 0:
        break
    if x > y:
        print(f"{y} {x}")
    elif x <= y:
        print(f"{x} {y}")
N, M = map(int, input().split())
A = [list(map(int, input().split())) for _ in range(N)]

V = [i+1 for i in range(N)]
import itertools

ptr = list(itertools.permutations(V, N))

res = 0
for p in ptr:       
    if p[0] == 1:
        now = 1
        flag = [0 for _ in range(N)]
        flag[0] = 1
        for i in range(N-1):
            for j in range(M):
                if A[j][0] == now and A[j][1] == p[i+1]:
                    flag[A[j][1] - 1] += 1
                    now = p[i+1]
                if A[j][1] == now and A[j][0] == p[i+1]:
                    flag[A[j][0] - 1] += 1
                    now = p[i+1]
                    
        tmp = 1         
        for i in range(N):
            if flag[i] != 1:
                tmp = 0
                break
                
        res += tmp
 
print(res)

### FIXED CODE ###

N, M = map(int, input().split())
E = [[0 for i in range(N)] for j in range(N)] #頂点のつながり
for i in range(M):
    a, b = map(int, input().split())
    E[a-1][b-1] = 1
    E[b-1][a-1] = 1

V = [ 0 for i in range(N)] #訪問済みの頂点が1
V[0] = 1 #頂点1は訪問済み

def DPS(now, V):
    res = 0 #全て訪問できた回数
    if 0 not in V:
        return 1
    for i in range(N): 
        if (E[now][i] == 1) and (V[i] == 0): #現在の頂点と隣接してかつ未訪問の頂点
            V[i] = 1
            res = res + DPS(i, V)
            V[i] = 0
    return res

print(DPS(0, V))
import math
n = input()
a = list(map(int, input().split()))
ans = float('inf')
for i in a:
    ans = min(ans, len(bin(i)) - bin(i).refind('1') - 1)

### FIXED CODE ###

import math
n = input()
a = list(map(int, input().split()))
ans = float("inf")
for i in a:
    ans = min(ans, len(bin(i)) - bin(i).rfind("1") - 1)
print(round(ans))
n=int(input())
p=list(map(int,input(),split()))
q=list(map(int,input(),split()))
from itertools import permutations
list=list(permutations(range(1,n+1)))
ans=abs(list.index(p)-list.index(q))

### FIXED CODE ###

N = int(input())
P = tuple(map(int, input().split()))
Q = tuple(map(int, input().split()))
 
from itertools import permutations as per
tuples = per(range(1, N+1))
 
a = 0
b = 0
for i, t in enumerate(tuples):
    if t == P:
        a = i
    if t == Q:
        b = i
print(abs(a - b))
def solve():
  N = int(input())
  S = input()
  stones = []
  look = S[0]
  cnt = 0

  if S[0] == '.': stones.append(0)
  for s in S:
    if look == s: cnt += 1
    else:
      stones.append(cnt)
      cnt = 1
      look = s
  stones.append(cnt)
  if S[N - 1] == '#': stones.append(0)

  count = sum(stones[1::2])
  ans = count

  for i in range(0, N - 2, 2):
    count = count + stones[i] - stones[i + 1]
    if ans > count: ans = count
  return ans

print(solve())

### FIXED CODE ###

def solve():
  N = int(input())
  S = input()
  stones = []
  look = S[0]
  cnt = 0

  if S[0] == '.': stones.append(0)
  for s in S:
    if look == s: cnt += 1
    else:
      stones.append(cnt)
      cnt = 1
      look = s
  stones.append(cnt)
  if S[N - 1] == '#': stones.append(0)

  count = sum(stones[1::2])
  ans = count

  for i in range(0, len(stones), 2):
    count = count + stones[i] - stones[i + 1]
    if ans > count: ans = count
  return ans

print(solve())
import numpy as np
n,m = map(int,input().split())
a_array = np.array([map(int,input().split())])
for i in range(m):

  a_array[np.argmax(a_array)] = a_array[np.argmax(a_array)]//2
   
print(np.sum(a_array))

### FIXED CODE ###

n,m = map(int,input().split())
import math
a_list = list(map(int,input().split()))
for i in range(n):
  a_list[i] = -1 * a_list[i]
import heapq
heapq.heapify(a_list)
for j in range(m):
  
  a = heapq.heappop(a_list)
  a = math.ceil(a/2)
  heapq.heappush(a_list,a)


print(-1 * sum(a_list))
num = input().split(" ")
n = [int(i) for i in num]
n = sorted(n)
print(" ".join(n))

### FIXED CODE ###

num = input().split(" ")
n = [int(i) for i in num]
n = sorted(n)
print(n[0], n[1], n[2],sep = " ")
import math
A, B, C, D = map(int, input().split())

def lcm(x,y):
    return int((x*y-(x * y)%math.gcd(x, y))/math.gcd(x,y))

C_comp = int((B-(B%C))/C) - int(((A-1)-(A-1)%C)/C)
D_comp = int((B-(B%D))/D) - int(((A-1)-(A-1)%D)/D)
CD_comp = int((B-(B%lcm(C,D)))/lcm(C,D)) - int(((A-1)-(A-1)%lcm(C,D))/lcm(C,D))

print((B - A + 1) - (C_comp + D_comp - CD_comp))


### FIXED CODE ###

import fractions
A, B, C, D = map(int, input().split())

def lcm(x,y):
    return ((x * y)//fractions.gcd(x, y))

C_comp = (B//C) - ((A-1)//C)
D_comp = (B//D) - ((A-1)//D)
CD_comp = (B//lcm(C,D)) - ((A-1)//lcm(C,D))

print((B - A + 1) - (C_comp + D_comp - CD_comp))
N = input()
A = list(map(int, input().split()))
A.sort()
ans = 1
for i in A:

    ans = ans * i
    if ans == 0:
        break
    if ans > 1000000000000000000:
        ans = -1
        break


print(ans)

### FIXED CODE ###

A,B = map(int,input().split())
print(A*B)
s = input()
k = int(input())
substrings = []
index = []
for ss in sorted(list(set(s))):
  index_list = [n for n, v in enumerate(s) if v == ss]

  for i in index_list:##初期位置
    for j in range(1,min(k+1,len(s)-i)):##長さ
      substrings.append(s[i:i+j])
  if len(set(substrings)) >= k:
    break

print(sorted(list(set(substrings)))[k-1])

### FIXED CODE ###

s = input()
k = int(input())
substrings = []
index = []
for ss in sorted(list(set(s))):
  index_list = [n for n, v in enumerate(s) if v == ss]
  for i in index_list:##初期位置
    for j in range(1,min(k+1,len(s)-i+1)):##長さ
      substrings.append(s[i:i+j])
  if len(set(substrings)) >= k:
    break
print(sorted(list(set(substrings)))[k-1])
I0 = lambda :map(int,input().split())
I1 = lambda :int(input())
I2 = lambda :list(map(int,input().split()))
#####################################################
import sys
input=sys.stdin.readline()
n ,q = I0()
counter = [0]*n
tree = [[] for i in range(n)]
for i in range(n-1):
    a,b=I0()
    tree[a-1].append(b-1)
    tree[b-1].append(a-1)

for i in range(q):
    p,x = I0()
    counter[p-1]+=x
    
stack = [0]
seen = dict()
seen[0] = 1
while stack:
    yy = stack.pop()
    for i in tree[yy]:
        if seen.get(i,-1) == -1:
            seen[i] = 1
            counter[i]+=counter[yy]
            stack.append(i)
            
print(*counter)



### FIXED CODE ###

I0 = lambda :map(int,input().split())
I1 = lambda :int(input())
I2 = lambda :list(map(int,input().split()))
#####################################################


from sys import stdin,setrecursionlimit
#from copy import deepcopy
 
setrecursionlimit(10**6)
input=stdin.readline

def dfs(p,father=-1):
    for i in tree[p]:
        if i == father:
            continue
        counter[i]+=counter[p]
        dfs(i,p)

n ,q = I0()
counter = [0]*n
tree = [[] for i in range(n)]
for i in range(n-1):
    a,b=I0()
    tree[a-1].append(b-1)
    tree[b-1].append(a-1)

for i in range(q):
    p,x = I0()
    counter[p-1]+=x
    

dfs(0)

print(*counter)

'''stack = [1]
while stack:
    yy = stack.pop()
    for i in tree[yy]:
        counter[i-1]+=counter[yy-1]
        stack.append(i)'''
N, M = map(int, raw_input().split())
kotae = [0]*N
for i in range(M):
 l=map(int, raw_input().split())
 for j in range(len(l)):
  kotae[l[j]-1]=kotae[l[j]-1]+1

for k in range(N):
 print kotae[k]

### FIXED CODE ###

A,B,C = map(int, raw_input().split())
if A<=C and C<=B:
 print "Yes"
else:
 print "No"
n, p = map(int, input().split())
s = input()[::-1]
ans = 0

if p == 2:
    for i in range(n):
        if s[i] % 2 == 0:
            ans += i + 1
    print(ans)

elif p == 5:
    for i in range(n):
        if s[i] % 5 == 0:
            ans += i + 1
    print(ans)

else:
    mod = 0
    c = [0] * p
    c[0] = 1
    ten = 1
    for i in s:
        mod = (mod + ten * int(i)) % p
        ten = ten * 10 % p
        c[mod] += 1

    for i in c:
        ans += i * (i - 1) // 2
    print(ans)

### FIXED CODE ###

n, p = map(int, input().split())

if p == 2:
    s = input()
    ans = 0
    for i in range(n):
        if int(s[i]) % 2 == 0:
            ans += i + 1
    print(ans)

elif p == 5:
    s = input()
    ans = 0
    for i in range(n):
        if int(s[i]) % 5 == 0:
            ans += i + 1
    print(ans)

else:
    s = input()[::-1]
    mod = 0
    c = [0] * p
    c[0] = 1
    ten = 1
    for i in s:
        mod = (mod + ten * int(i)) % p
        ten = ten * 10 % p
        c[mod] += 1

    ans = 0
    for i in c:
        ans += i * (i - 1) // 2
    print(ans)
N = int(input())
A = list(map(int, input().split()))
ans = 1
if A in 0:
  print(0)
  exit()
for i in range(N):
  ans *= A[i]
  if ans > 10**18:
    print(-1)
    exit()
print(ans)


### FIXED CODE ###

N = int(input())
A = list(map(int, input().split()))
ans = 1
if 0 in A:
  print(0)
  exit()
for i in range(N):
  ans *= A[i]
  if ans > 10**18:
    print(-1)
    exit()
print(ans)
#3
N = int(input())
L = list(map(int, imput().split()))
A = [0] * N
for x in L:
    A[x - 1] += 1

print(*A, sep = '¥n)

### FIXED CODE ###

N = int(input())
L = list(map(int, input().split()))
A = [0] * N
for x in L:
    A[x - 1] += 1

print(*A, sep = '\n')
import cmath
import itertools
n = int(input())
C = sorted([complex(*map(int,input().split())) for _ in range(n)], key=cmath.phase)
score = 0
for i,j in itertools.product(range(n),range(n)):
    if i>j: continue
    score = max((score,abs(sum(C[:i]+C[j:])),abs(sum[i:j])))
print(score)

### FIXED CODE ###

import cmath
import itertools
# cmath.phase:C to (-pi,pi]
n = int(input())
C = sorted([complex(*map(int,input().split())) for _ in range(n)], key=cmath.phase)
score = 0
for i,j in itertools.product(range(n),range(n)):
    if i>j: continue # i+1<=j<=nでループ回すのをサボった
    score = max(score,abs(sum(C[:i]+C[j:])))
    score = max(score,abs(sum(C[i:j])))
print(score)
N = int(input())

alp = 'abcdefghijklmnopqrstuvwxyz'
ans = alp[(alp.index(N) + 1)]
print(ans)


### FIXED CODE ###

S = input()

alp = 'abcdefghijklmnopqrstuvwxyz'
ans = alp[(alp.index(S) + 1)]
print(ans)
N=int(input())
H=map(int, input().split())
for i in range(N-1):
    if H[i+1] < H[i]-1:
        print(No)
    else:
        print(Yes)

### FIXED CODE ###

N=int(input())
H=list(map(int, input().split()))
Z=0
count=0
for i in range(N-1):
    A=H[i+1]
    B=H[i]-1
    if A < B:
        print('No')
        Z=Z+1
        break
    if A == B:
        count=count+1
        if count >=2 and A < C:
            print('No')
            Z=Z+1
            break
        else:
            C=A
if Z == 0:
    print('Yes')
N = int(input())

X = [[] for _ in range(N)]

for _ in range(N-1):
    x, y = map(int, input().split())
    X[x-1].append(y-1)
    X[y-1].append(x-1)
    
P = [-1] * N
def dfs(i):
    for j in X[i]:
        if j != 0 and P[j] < 0:
            P[j] = i
            dfs(j)

dfs(0)

for i in range(N):
    if i != 0:
        X[i].remove(P[i])

ans = 0
B = [0] * N
W = [0] * N

def dfs2(i):
    _ansb = 1
    _answ = 1
    for j in X[i]:
        __ansb, __answ = dfs2(j)
        _ansb *= __answ
        _answ *= (__ansb+__answ)
    
    return (_ansb, _answ)

print(sum(dfs2(0)))


### FIXED CODE ###

import sys
sys.setrecursionlimit(1000000)

MOD = 10**9+7
N = int(input())

X = [[] for _ in range(N)]

for _ in range(N-1):
    x, y = map(int, input().split())
    X[x-1].append(y-1)
    X[y-1].append(x-1)
    
P = [-1] * N
def dfs(i):
    for j in X[i]:
        if j != 0 and P[j] < 0:
            P[j] = i
            dfs(j)

dfs(0)

for i in range(N):
    if i != 0:
        X[i].remove(P[i])

ans = 0
B = [0] * N
W = [0] * N

def dfs2(i):
    _ansb = 1
    _answ = 1
    for j in X[i]:
        __ansb, __answ = dfs2(j)
        _ansb *= __answ
        _answ *= (__ansb+__answ)
        _ansb %= MOD
        _answ %= MOD
    
    return (_ansb, _answ)

print(sum(dfs2(0)) % MOD)
K = input()

num_odd = K // 2 if K % 2 == 0 else K // 2 + 1
num_even = K // 2

print(num_odd * num_even)

### FIXED CODE ###

K = int(input())

num_odd = K // 2 if K % 2 == 0 else K // 2 + 1
num_even = K // 2

print(num_odd * num_even)
import numpy as np
a,b,c=list(map(int, input().split()))
#print(a,b,c)
print(min(c,a+b+1)+b)


### FIXED CODE ###

import numpy as np
a,b,c=list(map(int, input().split()))
#print(a,b,c)
print(min(c,a+b+1)+b)
import numpy as np

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

B = []
for i in range(N):
    for j in range(N):
        if i>j:
            B.append(np.dot(A[i], A[j]))

B.sort()
print(B[K-1])

### FIXED CODE ###

A, B, C = input().split()

if A==B==C:
    print('No')
else:
    if A==B:
        if B!=C:
            print('Yes')
    elif A==C:
        if C!=B:
            print('Yes')
    elif B==C:
        if C!=A:
            print('Yes')
    else:
        print('No')
import sys
stdin = sys.stdin
 
sys.setrecursionlimit(10**7) 
 
def li(): return map(int, stdin.readline().split())
def li_(): return map(lambda x: int(x)-1, stdin.readline().split())
def lf(): return map(float, stdin.readline().split())
def ls(): return stdin.readline().split()
def ns(): return stdin.readline().rstrip()
def lc(): return list(ns())
def ni(): return int(stdin.readline())
def nf(): return float(stdin.readline())

N, x = li()

if x == 1 or x == 2*N-1:
    print('No')
    
else:
    ans = [0]*(2*N-1)
    ans[N-1] = x
    
    if x == 2:
        ans[N-2] = x+2
        ans[N] = x-1
        ans[N+1] = x+1
        used = [x-1,x,x+1,x+2]
        
    else:
        ans[N-2] = x-1
        ans[N] = x+1
        ans[N+1] = x-2
        used = [x-2,x-1,x,x+1]
    
    rem = []
    for i in range(1,2*N):
        if i in used:
            continue
        else:
            rem.append(i)
            
    rem = rem[::-1]
    
    for i in range(2*N-1):
        if N-2 <= i <= N+1:
            continue
        
        else:
            ans[i] = rem.pop()
            
    print('Yes')
    for ai in ans:
        print(ai)

### FIXED CODE ###

import sys
stdin = sys.stdin

def li(): return [int(x) for x in stdin.readline().split()]
def li_(): return [int(x)-1 for x in stdin.readline().split()]
def lf(): return [float(x) for x in stdin.readline().split()]
def ls(): return stdin.readline().split()
def ns(): return stdin.readline().rstrip()
def lc(): return list(ns())
def ni(): return int(ns())
def nf(): return float(ns())

n,x = li()

if n == 2 and x == 2:
    print("Yes")
    for i in range(1,4):
        print(i)
        
elif (n == 2 and x == 1) or (n == 2 and x == 3):
    print("No")

elif x == 1 or x == 2*n-1:
    print("No")

elif x == 2:
    ans = [i for i in range(1,x-1)] + [i for i in range(x+3, 2*n)]
    ans = ans[:n-2] + [x+2, x, x-1, x+1] + ans[n-2:]
    
    print("Yes")
    for ai in ans:
        print(ai)
    
else:
    ans = [i for i in range(1,x-2)] + [i for i in range(x+2, 2*n)]
    ans = ans[:n-2] + [x-1, x, x+1, x-2] + ans[n-2:]
    
    print("Yes")
    for ai in ans:
        print(ai)