CF787B.Not Afraid

普及/提高-

通过率:0%

AC君温馨提醒

该题目为【codeforces】题库的题目,您提交的代码将被提交至codeforces进行远程评测,并由ACGO抓取测评结果后进行展示。由于远程测评的测评机由其他平台提供,我们无法保证该服务的稳定性,若提交后无反应,请等待一段时间后再进行重试。

题目描述

Since the giant heads have appeared in the sky all humanity is in danger, so all Ricks and Mortys from all parallel universes are gathering in groups to find a solution to get rid of them.

There are nn parallel universes participating in this event ( nn Ricks and nn Mortys). I. e. each of nn universes has one Rick and one Morty. They're gathering in mm groups. Each person can be in many groups and a group can contain an arbitrary number of members.

Ricks and Mortys have registered online in these groups. So, a person can have joined a group more than once (developer of this website hadn't considered this possibility).

Summer from universe #1 knows that in each parallel universe (including hers) exactly one of Rick and Morty from that universe is a traitor and is loyal, but no one knows which one. She knows that we are doomed if there's a group such that every member in that group is a traitor (they will plan and destroy the world).

Summer knows that if there's a possibility that world ends (there's a group where all members are traitors) she should immediately cancel this event. So she wants to know if she should cancel the event. You have to tell her yes if and only if there's at least one scenario (among all 2n2^{n} possible scenarios, 22 possible scenarios for who a traitor in each universe) such that in that scenario the world will end.

输入格式

The first line of input contains two integers nn and mm ( 1<=n,m<=1041<=n,m<=10^{4} ) — number of universes and number of groups respectively.

The next mm lines contain the information about the groups. ii -th of them first contains an integer kk (number of times someone joined ii -th group, k>0 ) followed by kk integers vi,1,vi,2,...,vi,kv_{i,1},v_{i,2},...,v_{i,k} . If vi,jv_{i,j} is negative, it means that Rick from universe number vi,j-v_{i,j} has joined this group and otherwise it means that Morty from universe number vi,jv_{i,j} has joined it.

Sum of kk for all groups does not exceed 10410^{4} .

输出格式

In a single line print the answer to Summer's question. Print "YES" if she should cancel the event and "NO" otherwise.

输入输出样例

  • 输入#1

    4 2
    1 -3
    4 -2 3 2 -3
    

    输出#1

    YES
    
  • 输入#2

    5 2
    5 3 -2 1 -1 5
    3 -5 2 5
    

    输出#2

    NO
    
  • 输入#3

    7 2
    3 -1 6 7
    7 -5 4 2 4 7 -3 4
    

    输出#3

    YES
    

说明/提示

In the first sample testcase, 11 st group only contains the Rick from universe number 33 , so in case he's a traitor, then all members of this group are traitors and so Summer should cancel the event.

首页