CF1598A Computer Game
Description
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| \le 1 $ and $ |y_1 - y_2| \le 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 Format
The first line contains a single integer $ t $ ( $ 1 \le t \le 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 \le n \le 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 Format
For each test case, output YES if it is possible to complete the level, and NO otherwise.
Explanation/Hint
Consider the example from the statement.
In the first test case, one of the possible paths is $ (1, 1) \rightarrow (2, 2) \rightarrow (2, 3) $ .
In the second test case, one of the possible paths is $ (1, 1) \rightarrow (1, 2) \rightarrow (2, 3) \rightarrow (2, 4) $ .
In the fourth test case, one of the possible paths is $ (1, 1) \rightarrow (2, 2) \rightarrow (1, 3) \rightarrow (2, 4) \rightarrow (1, 5) \rightarrow (2, 6) $ .