海与岛

The single line contains two positive integers n, k (1 ≤ n ≤ 100, 0 ≤ k ≤ n²) — the size of the map and the number of islands you should form.

If the answer doesn't exist, print "NO" (without the quotes) in a single line.

Otherwise, print "YES" in the first line. In the next n lines print the description of the map. Each of the lines of the description must consist only of characters 'S' and 'L', where 'S' is a cell that is occupied by the sea and 'L' is the cell covered with sand. The length of each line of the description must equal n.

If there are multiple answers, you may print any of them.

You should not maximize the sizes of islands.

5 2

YES
SSSSS
LLLLL
SSSSS
LLLLL
SSSSS

5 25

NO