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30809번 - Yet Another Coin Problem 스페셜 저지다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 1024 MB288847.059%

문제

동전이 $N$종류가 있습니다. $i$번째 종류의 동전은 $C_i$개가 있고, 동전 한 개는 $V_i$원의 가치를 가집니다. $(1 \le i \le N)$ 동전을 적당히 골라서 가치의 합이 $X$원이 되도록 할 수 있나요? 가능하다면 방법을 하나 출력하세요.

입력

첫 줄에 테스트케이스의 수 $T$가 주어집니다. $(1 \le T \le 100)$ 각 테스트케이스의 첫 줄에 $N$과 $X$가 공백으로 구분되어 주어집니다. $(1 \le N \le 50; 1 \le X \le 10^{18})$

다음 $N$ 개의 줄의 $i$번째 줄에는 $C_i$와 $V_i$가 공백으로 구분되어 주어집니다. 한 테스트 케이스에서 주어지는 모든 $V_i$는 서로 다릅니다. $(1 \le C_i \le 10^{12}; 1 \le V_i \le 500,000円)$

주어지는 모든 $N$의 합은 500ドル$을 넘지 않으며, 주어지는 모든 $V_i$의 합은 500ドル,000円$을 넘지 않습니다.

출력

각 테스트케이스에 대해, 동전을 적당히 써서 가치의 합이 $X$원이 되도록 할 수 있다면 첫 줄에 YES를, 아니면 NO를 출력하세요. 첫 줄에 YES를 출력했다면, 둘째 줄에 $N$개의 정수 $A_1,\cdots ,A_N$을 공백으로 구분하여 출력하세요. 해당 수는 다음 조건을 만족해야 합니다.

  • 0ドル\le A_i\le C_i$ $(1\le i\le N)$
  • $A_1V_1+A_2V_2+\cdots +A_NV_N=X$

제한

예제 입력 1

2
4 361
3 1
4 5
5 10
6 50
4 364
3 1
4 5
5 10
6 50

예제 출력 1

YES
1 2 5 6
NO

힌트

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

출처

Contest > solved.ac > solved.ac Grand Arena #3 > Division 1 D번

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출처

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