Problem:
Score : 300 points

Problem Statement

In Takahashi Kingdom, there is an archipelago of N islands, called Takahashi Islands.
For convenience, we will call them Island 1, Island 2, ..., Island N.

There are M kinds of regular boat services between these islands.
Each service connects two islands. The i-th service connects Island a_i and Island b_i.

Cat Snuke is on Island 1 now, and wants to go to Island N.
However, it turned out that there is no boat service from Island 1 to Island N, so he wants to know whether it is possible to go to Island N by using two boat services.

Help him.

Constraints

3 ≤ N ≤ 200 000

1 ≤ M ≤ 200 000

1 ≤ a_i < b_i ≤ N

(a_i, b_i) \neq (1, N)

If i \neq j, (a_i, b_i) \neq (a_j, b_j).

Input

Input is given from Standard Input in the following format:

N M
a_1 b_1
a_2 b_2
:
a_M b_M

Output

If it is possible to go to Island N by using two boat services, print POSSIBLE; otherwise, print IMPOSSIBLE.

Sample Input 1

3 2
1 2
2 3

Sample Output 1

POSSIBLE

Sample Input 2

4 3
1 2
2 3
3 4

Sample Output 2

IMPOSSIBLE

You have to use three boat services to get to Island 4.

Sample Input 3

100000 1
1 99999

Sample Output 3

IMPOSSIBLE

Sample Input 4

5 5
1 3
4 5
2 3
2 4
1 4

Sample Output 4

POSSIBLE

You can get to Island 5 by using two boat services: Island 1 -> Island 4 -> Island 5.

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;

public class Main {
    public static void main(String[] args) {
        try {
            // 標準入力
            InputStreamReader isr = new InputStreamReader(System.in);
            BufferedReader br = new BufferedReader(isr);
            String strArr[] = br.readLine().split(" ");
            int n = Integer.parseInt(strArr[0]);
            int m = Integer.parseInt(strArr[1]);
            ArrayList<Integer> list1 = new ArrayList<Integer>();
            StringBuilder strb = new StringBuilder();
            for (int i = 0; i < m; i++) {
                strArr = br.readLine().split(" ");
                int tmp1 = Integer.parseInt(strArr[0]);
                int tmp2 = Integer.parseInt(strArr[1]);
                if (tmp1 == 1) {
                    list1.add(tmp2);
                }
                if (tmp2 == n) {
                    strb.append("s" + tmp1 + "e");
                }
            }
            boolean flag = false;
            for (int i = 0; i < list1.size(); i++) {
                String tmp = "s" + list1.get(i) + "e";
                if (strb.indexOf(tmp) != -1) {
                    flag = true;
                    break;
                }
            }
            if (flag) {
                System.out.println("POSSIBLE");
            } else {
                System.out.println("IMPOSSIBLE");
            }
        } catch (IOException e) {
            e.printStackTrace();
           }
    }

}