2214. Credability of witnesses

单点时限: 2.0 sec

内存限制: 256 MB

Witnesses, numbered from 1 to n, have made their testimonies in a court. Each testimony is a statement of the form: “the i-th witness agrees with the j-th witness” or “the i-th witness does not agree with the j-th witness”.

If the i-th witness agrees with the j-th witness then he agrees also with all the witnesses that the j-th witness agrees with. Similarly, the i-th witness does not agree with all the witnesses that the j-th witness does not agree with.

We say that witness A is not credible if from testimonies made in a court it follows that there exists a witness B such that A agrees with B and A does not agree with B.

Write a program that:

  • reads the number of witness and their testimonies,

  • finds all the witnesses that are not credible,

  • writes the result.

输入格式

In the first line there is a single integer n, 1 <= n <= 3000, which is the number of witnesses.

In the second line there is a single integer m, 0 <= m <= 8000, which is the number of testimonies.

In each of the following m lines there are two integers i, j (1 <= i <= n, 1 <= |j| <= n), separated by a single space. If j is positive it describes a testimony: “the i-th witness agrees with the j-th witness”. If j is negative it means: “the i-th witness does not agree with the (-j)-th witness”.

输出格式

There should be written:

  • a single word NIKT (which means NOBODY in Polish), if it follows from testimonies that there is no witness that is not credible,

  • or - in increasing order - the numbers of witnesses that are not credible (one member in one line).

样例

Input
6
12
1 3
1 6
2 -1
3 4
4 1
4 -2
4 5
5 -1
5 -3
5 2
6 5
6 4
Output
1
3
4
6

0 人解决,1 人已尝试。

0 份提交通过,共有 3 份提交。

9.9 EMB 奖励。

创建: 16 年,4 月前.

修改: 7 年,2 月前.

最后提交: 3 年,12 月前.

来源: POI 1997 III Stage

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