Score : 1200 points
We have N irregular jigsaw pieces. Each piece is composed of three rectangular parts of width 1 and various heights joined together. More specifically:
Snuke is arranging these pieces on a square table of side 10^{100}. Here, the following conditions must be held:
Determine whether such an arrangement is possible.
Input is given from Standard Input in the following format:
N H A_1 B_1 C_1 D_1 A_2 B_2 C_2 D_2 : A_N B_N C_N D_N
If it is possible to arrange the pieces under the conditions, print YES
; if it is impossible, print NO
.
3 4 1 1 0 0 2 2 0 1 3 3 1 0
YES
The figure below shows a possible arrangement.
4 2 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1
NO
10 4 1 1 0 3 2 3 2 0 1 2 3 0 2 1 0 0 3 2 0 2 1 1 3 0 3 2 0 0 1 3 2 0 1 1 1 3 2 3 0 0
YES