시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 1024 MB139594142.268%

문제

당신은 수직선 위에 묶여 있는 $N$개의 리본들을 받았다. $i$번 $(1 \leq i \leq N)$ 리본은 수직선의 점 $X_i$에 묶여 있고, 길이는 $L_i$이다. 또한, 그 리본의 색은 $C_i$이며 R, Y, B 중 하나이다. (R, Y, B는 각각 빨강, 노랑, 파랑을 나타낸다.)

이제 당신은 리본 두 개를 골라서 매듭을 지으려고 한다. 리본의 탄성이 좋지 않아서 길이를 늘릴 수는 없지만, 구부릴 수는 있다. 즉, $\lvert X_i - X_j \rvert \le L_i + L_j$ $(i \ne j)$ 를 만족한다면 $i$번째와 $j$번째 리본으로 매듭을 지을 수 있다. (리본은 면적이 없는 선으로 가정하고 매듭 길이는 무시한다.) 묶인 매듭은 두 리본의 색이 다를 때, 즉 $C_i \ne C_j$일 때 아름다운 매듭이라고 부른다.

아름다운 매듭을 지을 수 있는 두 리본의 번호를 구하는 프로그램을 작성하시오.

입력

첫 번째 줄에 정수 $N$이 주어진다.

두 번째 줄에 $N$개의 정수 $X_1$, $X_2$, $\cdots$, $X_N$이 주어진다.

세 번째 줄에 $N$개의 정수 $L_1$, $L_2$, $\cdots$, $L_N$이 주어진다.

네 번째 줄에 $N$개의 문자 $C_1$, $C_2$, $\cdots$, $C_N$이 주어진다.

출력

첫 번째 줄에 정답이 존재한다면 YES, 아니라면 NO를 출력한다.

정답이 존재한다면 두 번째 줄에 아름다운 매듭을 지을 수 있는 두 리본의 번호를 출력한다.

답이 여러 개 존재한다면 아무거나 출력해도 상관없다.

제한

  • $\color{red}{2 \le N \le 10^6}$
  • $-10^9 \le X_1 < X_2 < \cdots < X_{N} \le 10^9$
  • $1 \le L_i \le 10^9$
  • $C_i \in \{$R, Y, B$\}$

예제 입력 1

2
1 3
1 1
Y R

예제 출력 1

YES
1 2

예제 입력 2

2
-4 1
1 2
B B

예제 출력 2

NO
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