Write a program which reads the two dices constructed in the same way as Dice I, and determines whether these two dices are identical. You can roll a dice in the same way as Dice I, and if all integers observed from the six directions are the same as that of another dice, these dices can be considered as identical.

Constraints

* $0 \leq $ the integer assigned to a face $ \leq 100$

Input

In the first line, six integers assigned to faces of a dice are given in ascending order of their corresponding labels.
In the second line, six integers assigned to faces of another dice are given in ascending order of their corresponding labels.

Output

Print "Yes" if two dices are identical, otherwise "No" in a line.

Examples

Input

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


Output

Yes


Input

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


Output

No
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		// ラベル入力・ダイスの生成
		Dice dice1 = new Dice(CreateIntLabel(sc.nextLine()));
		Dice dice2 = new Dice(CreateIntLabel(sc.nextLine()));

		// 同じダイスであるか判定・出力
		if (DiceComparison(dice1, dice2)) {
			System.out.println("Yes");
		} else {
			System.out.println("No");
		}

	}

	// ラベル配列の生成
	public static int[] CreateIntLabel(String str) {
		String[] input = str.split("[\\s]+");
		int[] label = new int[input.length];
		for (int i = 0; i < input.length; i++) {
			label[i] = Integer.parseInt(input[i]);
		}
		return label;
	}

	// 2つのダイスが同じかを判定
	public static boolean DiceComparison(Dice dice1, Dice dice2) {
		// ダイス1の0番目と同じラベルをダイス2から探す
		for (int i = 0; i < dice2.label.length; i++) {
			if (dice1.label[0] == dice2.label[i]) {

				// 側面4つの並びが同じか判定
				if (ComparisonNumberSequence(dice1.getCorrespondingAspectsLabel(0),
						dice2.getCorrespondingAspectsLabel(i))) {
					return true;
				}
			}
		}
		return false;

	}

	// 配列(ダイスの側面4つ)を2つを受け取り、同じ順序ができるか判定
	public static boolean ComparisonNumberSequence(int[] array1, int[] array2) {
		// 0番目の値が同じになるまでarray2を回転させる
		while (array1[0] != array2[0]) {
			int work = array2[0];
			for (int i = 1; i < array2.length; i++) {
				array2[i - 1] = array2[i];
			}
			array2[array2.length - 1] = work;
		}

		// 内容が同じになったかを見る
		for (int i = 0; i < array1.length; i++) {
			if (array1[i] != array2[i]) {
				return false;
			}
		}
		return true;

	}

	static class Dice {
		// 回転方向上にある4つの面の添え字、対応する右の面の添え字
		enum Direction {
			Roll			(new int[] { 0, 1, 5, 4 }, 2),
			Pitch			(new int[] { 0, 3, 5, 2 }, 1),
			Yaw				(new int[] { 4, 2, 1, 3 }, 5),
			ReverseRoll	(new int[] { 0, 4, 5, 1 }, 3),
			ReversePitch	(new int[] { 0, 2, 5, 3 }, 4),
			ReverseYaw		(new int[] { 4, 3, 1, 2 }, 0);

			// 回転軸方向の4つの面
			private int[] Rotat;
			// 回転軸方向に対応する右の面
			private int rightNum;

			Direction(int[] nums, int num) {
				this.Rotat = nums;
				this.rightNum = num;
			}
		}

		// ラベル
		int[] label;

		// コンストラクタ
		Dice(int[] label) {
			this.label = label;
		}

		// 右の面の添え字を受け取り、回転方向の4面の添え字配列を返す
		int[] getCorrespondingAspects(int num) {
			for (Direction dir : Direction.values()) {
				if (dir.rightNum == num) {
					return dir.Rotat;
				}
			}
			return null;
		}

		// 右の面の添え字を受け取り、回転方向の4面のラベル配列を返す
		int[] getCorrespondingAspectsLabel(int num) {
			int[] pointers = getCorrespondingAspects(num);
			int[] CorrespondingAspectsLabel = new int[pointers.length];
			for (int i = 0; i < CorrespondingAspectsLabel.length; i++) {
				CorrespondingAspectsLabel[i] = this.label[pointers[i]];
			}
			return CorrespondingAspectsLabel;

		}

	}

}

