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29765번 - PAndOrA 스페셜 저지다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 1024 MB85483756.923%

문제

$P$개의 조건이 주어진다. 이때, 다음 조건들을 만족하는 수열 $A_1, A_2, \cdots, A_N$를 출력하시오.

  • 1 i j x: $A_i, A_{i + 1}, \cdots, A_j$를 모두 bitwise AND한 값이 정수 $x$이다.
  • 2 i j x: $A_i, A_{i + 1}, \cdots, A_j$를 모두 bitwise OR한 값이 정수 $x$이다.

입력

첫 번째 줄에 수열의 길이 $N$과 조건의 개수 $P$가 공백으로 구분되어 주어진다. $(1 \le N, P \le 1,000円)$

두 번째 줄부터 $P$개의 줄에 걸쳐 조건이 주어진다. $(1 \le i \le j \le N;$ 0ドル \le x \lt 2^{31})$

출력

$P$개의 조건을 만족하는 수열이

  • 존재한다면, 수열 $A_1, A_2, \cdots, A_N$을 공백으로 구분하여 출력한다. $(0 \le A_i \lt 2^{31})$
  • 존재하지 않는다면, -1을 출력한다.

조건을 만족하는 수열이 여럿인 경우는 그중 아무거나 하나를 출력한다.

제한

예제 입력 1

1 2
1 1 1 1
1 1 1 2

예제 출력 1

-1

예제 입력 2

3 2
1 1 3 2
2 1 3 3

예제 출력 2

2 3 2

예제 입력 3

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

예제 출력 3

5 7 5 4 4 6 2

힌트

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