Monocarp is playing a computer game. Now he wants to complete the first level of this game.

A level is a rectangular grid of 2 rows and n columns. Monocarp controls a character, which starts in cell (1, 1) — at the intersection of the 1-st row and the 1-st column.

Monocarp's character can move from one cell to another in one step if the cells are adjacent by side and/or corner. Formally, it is possible to move from cell (x_1, y_1) to cell (x_2, y_2) in one step if |x_1 - x_2| ≤ 1 and |y_1 - y_2| ≤ 1. Obviously, it is prohibited to go outside the grid.

There are traps in some cells. If Monocarp's character finds himself in such a cell, he dies, and the game ends.

To complete a level, Monocarp's character should reach cell (2, n) — at the intersection of row 2 and column n.

Help Monocarp determine if it is possible to complete the level.

Input

The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. Then the test cases follow. Each test case consists of three lines.

The first line contains a single integer n (3 ≤ n ≤ 100) — the number of columns.

The next two lines describe the level. The i-th of these lines describes the i-th line of the level — the line consists of the characters '0' and '1'. The character '0' corresponds to a safe cell, the character '1' corresponds to a trap cell.

Additional constraint on the input: cells (1, 1) and (2, n) are safe.

Output

For each test case, output YES if it is possible to complete the level, and NO otherwise.

Example

Input


4
3
000
000
4
0011
1100
4
0111
1110
6
010101
101010


Output


YES
YES
NO
YES

Note

Consider the example from the statement.

In the first test case, one of the possible paths is (1, 1) → (2, 2) → (2, 3).

In the second test case, one of the possible paths is (1, 1) → (1, 2) → (2, 3) → (2, 4).

In the fourth test case, one of the possible paths is (1, 1) → (2, 2) → (1, 3) → (2, 4) → (1, 5) → (2, 6).
1
9
000000010
000000000
 1
9
000000010
000100000
 1
60
000000000000000000000000000000000000000000000000000000000010
000000000000000000000000000000000000000000000000000000000010

YES
 YES
 NO

import java.io.*;
import java.util.*;
import java.util.concurrent.atomic.AtomicInteger;
import java.util.concurrent.atomic.AtomicLong;
import java.util.logging.Logger;
import java.util.stream.Collectors;

public class Trial {

    static char[][]grid;
    static boolean[][]visited;
    public static boolean dfs(int r, int c, int n) {
        if (r >= 2 || r < 0 || c < 0 || c>=n || grid[r][c] == '1' || visited[r][c]) {
            return false;
        }
        if (r == 1 && c == n -1) {
            return true;
        }
        visited[r][c] = true;
        return dfs(r + 1, c + 1, n) || dfs(r - 1, c + 1, n) ||
        dfs(r + 1, c, n) || dfs(r, c + 1, n) || dfs(r - 1, c, n) ;
    }
    public static void main(String[] args) throws IOException {

        Scanner sc = new Scanner(System.in);
        PrintWriter pw = new PrintWriter(System.out);

        int q = sc.nextInt();
        while (q-- > 0) {
            int n = sc.nextInt();
            grid = new char[2][n];
            visited = new boolean[2][n];
            for (int j = 0; j < 2; j++) {
                String s = sc.next();
                for (int i = 0; i < n; i++) {
                    grid[j][i] = s.charAt(i);
                }
            }
            pw.println(dfs(0,0,n)? "YES": "NO");
        }
        pw.flush();
        pw.close();
    }

    // inclusive
    private static void rotate(int[] arr, int l, int r) {
        int temp = arr[r];
        for (int i = r - 1; i >= l; i--) {
            arr[i + 1] = arr[i];
        }
        arr[l] = temp;
    }

    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(InputStream System) throws FileNotFoundException {
            br = new BufferedReader(new InputStreamReader(System));
        }

        public String next() throws IOException {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        public String nextLine() throws IOException {
            return br.readLine();
        }

        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }

        public char nextChar() throws IOException {
            return next().charAt(0);
        }

        public Long nextLong() throws IOException {
            return Long.parseLong(next());
        }

        public boolean ready() throws IOException {
            return br.ready();
        }

        public void waitForInput() {
            for (long i = 0; i < 3e9; i++)
                ;
        }
    }

    static class Pair {
        int a;
        int b;
        boolean asc;

        Pair(int a, int b, boolean asc) {
            this.a = a;
            this.b = b;
            this.asc = asc;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;
            Pair pair = (Pair) o;
            return a == pair.a &&
                    b == pair.b &&
                    asc == pair.asc;
        }

        @Override
        public int hashCode() {
            return Objects.hash(a, b, asc);
        }
    }
}
