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시간 제한1초메모리 제한512 MB

요약
x & y = x, 즉 x가 y의 부분 비트마스크가 되도록 {0..N-1}의 각 x를 {M..M+N-1}의 서로 다른 y와 짝지어 출력한다.
난이도

보통10점 중 7점

유형
비트 연산, 그리디, 수학, 구현
정답자
아직 제출이 없습니다

문제

It was a dark and dreary Christmas Eve when our hero pondered, weak and weary, over a quaint and curious COCI task. When he nodded, nearly napping, suddenly he heard a tapping, tapping and a mighty roar. A giant reindeer broke through his chamber door, merely this and nothing more. While our hero’s heart slightly fluttered, the beast simply uttered: “I won’t leave until you solve this problem”.

In the problem you were given two integers N and M and you were supposed to perfectly match the numbers from sets A = {0, 1, 2, . . . , N − 1} and B = {M, . . . , M + N − 1} into N pairs, such that for the matched numbers x ∈ A and y ∈ B it holds x & y = x, where & denotes a bitwise AND operation.

입력

The first line contains two integers N and M (1 ≤ N ≤ M, N + M ≤ 106) from the task description.

출력

You should output N lines and in each line you should output two integers x and y, where x belongs to set A and y belongs to set B. Numbers in each line should correspond to one of the matched pairs from task description.

It is possible to prove that the solution always exists.

예제3

  1. 예제 1

    입력
    1 3
    
    예상 출력
    0 3
    
  2. 예제 2

    입력
    3 5
    
    예상 출력
    0 5
    1 7
    2 6
    
  3. 예제 3

    입력
    5 10
    
    예상 출력
    0 12
    1 13
    2 10
    3 11
    4 14