Here's a result from an overnight script run discussed on Discord yesterday. These following RLE consists of the first 3-glider collision catalogued in octo3g that produces each of the 3980 census.rle patterns -- if there is one. The orientation may not match census.rle, and the collision may actually produce a phase of the common active reaction, up to 16 ticks after the one shown in census.rle.
Code: Select all
# try-getting-3g-recipes.py
# David Raucci and Dave Greene, 20 March 2023 (Golly Python3)
# based on find-octo3g.py
# Dave Greene, 15 August 2022 (Golly Python3)
######## Download hash files from https://drive.google.com/drive/folders/1l6TQEgNpXpFd6ATU7Tgrf7k-76MJcVi3
######## Then update line 15 below with your chosen location for the downloaded files
import time
import golly as g
import hashlib
censuspats = [[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 2, 2],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 3],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2],[0, 0, 12, 0, 13, 0, 0, 1, 1, 1, 2, 1, 12, 1, 13, 1, 0, 2, 2, 2, 2, 3],[3, 0, 1, 1, 3, 1, 0, 2, 2, 2, 3, 2],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 3, 4, 4, 4],[1, 0, 3, 0, 0, 1, 3, 1, 0, 2, 0, 3, 1, 3],[1, 0, 3, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2],[0, 0, 1, 0, 1, 1, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 3, 2, 3, 4, 3, 3, 4],[0, 0, 2, 0, 3, 0, 4, 0, 0, 1, 1, 1],[1, 0, 3, 0, 0, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 4, 0, 0, 1, 3, 1, 1, 2, 2, 2, 3, 2],[2, 0, 3, 0, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 6, 0, 0, 1, 1, 1, 6, 1, 7, 1, 6, 2],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 3, 3, 4, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 5, 2, 6, 2, 7, 2],[0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 3],[0, 0, 3, 0, 1, 1, 3, 1, 4, 1, 1, 2, 5, 2, 6, 2, 4, 3],[1, 0, 2, 0, 3, 0, 1, 1, 0, 2, 1, 2, 2, 2],[0, 0, 1, 0, 2, 0, 3, 1, 3, 2, 3, 3],[1, 0, 2, 0, 2, 1, 3, 1, 1, 2, 2, 2, 0, 3, 1, 3],[0, 0, 1, 0, 7, 0, 0, 1, 5, 1, 7, 1, 7, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 5, 3, 6, 3, 7, 3],[0, 0, 2, 0, 3, 0, 1, 1, 4, 1, 2, 2, 3, 2, 4, 2],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 3],[0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 3, 2, 4, 3],[0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 3, 2, 4, 2, 1, 3, 2, 3],[1, 0, 0, 1, 1, 1, 2, 1, 5, 4, 6, 4, 5, 5],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 0, 3],[4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 5, 1, 0, 2, 1, 2],[0, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 2, 2],[6, 0, 7, 0, 0, 1, 6, 1, 7, 1, 0, 2, 1, 2, 0, 3],[0, 0, 1, 0, 6, 0, 0, 1, 1, 1, 4, 1, 5, 1, 7, 1, 8, 1, 7, 2, 8, 2],[2, 0, 1, 1, 0, 2, 5, 2, 6, 2, 1, 3, 6, 3, 2, 4, 3, 4, 6, 4, 3, 5, 4, 5],[0, 0, 1, 0, 2, 0, 3, 1, 1, 3, 2, 3, 3, 3],[2, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 4, 2, 4, 3, 4],[1, 0, 0, 1, 1, 1, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3],[1, 0, 2, 0, 1, 1, 3, 1, 0, 2, 3, 2, 4, 2],[3, 0, 4, 0, 4, 1, 4, 2, 3, 3, 0, 4, 1, 4, 2, 4],[4, 0, 3, 1, 5, 1, 0, 2, 1, 2, 2, 2, 4, 2],[1, 0, 2, 0, 3, 0, 4, 2, 0, 3, 1, 4, 2, 4, 3, 4],[3, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 0, 3, 2, 3, 1, 4],[1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 3, 5, 3, 6, 3, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3],[3, 0, 4, 0, 0, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 5, 1, 1, 2, 5, 2, 4, 3],[0, 0, 1, 0, 2, 0, 3, 1, 0, 2, 3, 2, 2, 3, 3, 3],[2, 0, 3, 0, 4, 0, 4, 1, 1, 2, 3, 2, 4, 2, 0, 4, 1, 4, 2, 4],[0, 0, 2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 1, 2, 2, 2, 3, 2],[0, 0, 0, 1, 0, 2, 6, 2, 7, 2, 6, 3, 7, 3, 1, 4, 0, 5, 1, 5],[2, 0, 3, 0, 4, 0, 1, 1, 1, 2, 4, 2, 0, 3, 3, 3],[2, 0, 3, 0, 4, 0, 4, 1, 0, 2, 3, 2, 0, 3, 2, 3],[3, 0, 4, 0, 1, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 2, 2, 3, 2, 6, 4, 7, 4, 6, 5, 7, 5],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 3, 1, 3, 2, 3],[2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 5, 3, 3, 4, 4, 4],[1, 0, 4, 0, 0, 1, 4, 1, 1, 2, 4, 2, 2, 3, 3, 3],[3, 0, 2, 1, 4, 1, 1, 2, 4, 2, 0, 3, 3, 3, 1, 4],[2, 0, 1, 1, 4, 1, 4, 2, 3, 3, 0, 4, 1, 4, 2, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 1, 3, 4, 3],[3, 0, 1, 1, 3, 1, 1, 2, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 4, 2, 5, 2, 5, 3, 6, 3],[0, 0, 1, 0, 2, 0, 4, 0, 1, 1, 4, 2, 5, 2],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 4, 2, 1, 3, 2, 3, 4, 3, 5, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 1, 3, 2, 3, 3, 3],[2, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 3, 4, 4, 4, 5, 4],[0, 0, 1, 0, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 2, 0, 1, 2, 3, 2, 4, 2, 2, 3],[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3],[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 5, 3, 4, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 1, 3, 5, 3, 2, 4, 3, 4],[0, 0, 1, 0, 5, 0, 6, 0, 0, 1, 6, 1, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[0, 0, 0, 1, 0, 2, 8, 6, 11, 6, 7, 7, 10, 7, 11, 7, 7, 8, 10, 8, 8, 9, 9, 9],[2, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[4, 0, 5, 0, 6, 0, 2, 1, 7, 1, 4, 2, 6, 2, 7, 2, 1, 3, 2, 3, 3, 3, 0, 4],[2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 4, 3],[11, 0, 12, 0, 10, 1, 13, 1, 0, 2, 1, 2, 0, 3, 1, 3, 9, 3, 12, 3, 10, 4, 11, 4],[0, 0, 1, 0, 2, 0, 2, 1, 5, 1, 5, 2, 6, 2, 5, 3],[5, 0, 5, 1, 6, 1, 0, 2, 1, 2, 4, 2, 6, 2, 0, 3, 5, 3],[7, 0, 8, 0, 7, 1, 8, 1, 2, 4, 1, 5, 2, 5, 3, 5, 0, 6, 3, 6, 1, 7, 2, 7],[4, 0, 5, 0, 1, 2, 2, 2, 4, 2, 0, 3, 0, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 3, 1, 4, 1, 0, 2, 1, 2, 3, 2, 2, 3],[7, 0, 6, 1, 8, 1, 7, 2, 8, 2, 7, 3, 0, 4, 1, 4, 6, 4, 1, 5],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 3, 2, 3, 4, 4, 4],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 5, 3, 3, 4, 5, 4],[3, 0, 4, 0, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3],[1, 0, 0, 1, 2, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4, 3, 4],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 3, 2, 0, 3, 0, 4],[0, 0, 0, 1, 1, 1, 1, 2, 6, 3, 5, 4, 6, 4, 7, 4, 7, 5],[0, 0, 3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 3, 3, 4, 3],[5, 0, 0, 1, 1, 1, 4, 1, 5, 1, 1, 2, 2, 2],[0, 0, 1, 0, 2, 0, 4, 2, 5, 2, 3, 3, 4, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 4, 2, 4, 3, 4, 4],[3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 0, 3, 1, 4, 2, 4],[5, 0, 6, 0, 0, 1, 4, 1, 0, 2, 1, 2, 4, 2, 7, 2, 5, 3, 6, 3],[1, 0, 2, 0, 0, 1, 3, 1, 7, 1, 1, 2, 2, 2, 6, 2, 7, 2, 8, 2],[2, 0, 1, 1, 5, 1, 6, 1, 7, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 4],[0, 0, 1, 0, 3, 0, 4, 0, 3, 1, 0, 2, 1, 2, 2, 2],[4, 0, 0, 1, 1, 1, 2, 1, 5, 1, 4, 2],[0, 0, 1, 0, 2, 0, 4, 1, 3, 2, 4, 2, 5, 2],[0, 0, 1, 0, 1, 1, 3, 1, 5, 1, 4, 2, 5, 2],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3, 8, 5, 9, 5, 8, 6, 9, 6],[2, 0, 1, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 3, 2, 7, 2, 8, 2, 7, 3, 8, 3],[3, 0, 4, 0, 0, 1, 3, 1, 0, 2, 0, 3, 2, 4, 3, 4],[1, 0, 5, 0, 6, 0, 0, 1, 4, 1, 6, 1, 7, 1, 0, 2, 5, 2, 1, 3],[1, 0, 6, 0, 0, 1, 2, 1, 5, 1, 6, 1, 0, 2, 2, 2, 1, 3, 2, 3],[1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 4, 2],[0, 0, 1, 0, 6, 0, 7, 0, 8, 0, 0, 1, 1, 1, 9, 1, 8, 2, 6, 3, 7, 3],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 6, 3, 1, 4, 5, 4, 1, 5, 5, 5, 3, 6],[6, 0, 0, 1, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 8, 2, 6, 3, 7, 3, 6, 4],[0, 0, 2, 0, 0, 1, 3, 1, 7, 1, 8, 1, 0, 2, 1, 2, 7, 2, 8, 2],[0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 3, 2, 4, 2, 2, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 2, 6, 3, 7, 3, 8, 3],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 1, 2, 3, 2],[1, 0, 0, 1, 5, 1, 0, 2, 1, 2, 2, 2, 4, 2, 5, 2],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 2, 3, 3, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 3, 3, 0, 4, 1, 4],[1, 0, 0, 1, 3, 1, 1, 2, 4, 2, 2, 3, 3, 3, 3, 4],[5, 0, 0, 1, 4, 1, 6, 1, 0, 2, 4, 2, 5, 2, 0, 3, 4, 3],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 0, 3, 2, 3],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 3, 5, 3, 2, 4, 4, 4, 3, 5],[3, 0, 3, 1, 4, 1, 5, 1, 0, 2, 0, 3, 0, 4],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3, 4, 3, 3, 4],[0, 0, 1, 0, 4, 0, 0, 1, 3, 1, 4, 1, 1, 2, 1, 3, 3, 3],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 2, 3, 3, 3, 4, 3],[2, 0, 0, 1, 1, 1, 3, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 3, 0, 7, 0, 8, 0, 0, 1, 3, 1, 7, 1, 8, 1, 0, 2, 3, 2, 0, 3, 2, 3],[6, 0, 7, 0, 8, 0, 0, 1, 1, 1, 8, 1, 0, 2, 1, 2, 6, 2, 7, 3],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 2, 2, 1, 3, 9, 5, 8, 6, 9, 6],[1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 4, 5, 4],[6, 0, 0, 1, 5, 1, 7, 1, 0, 2, 1, 2, 5, 2, 7, 2, 0, 3, 6, 3],[3, 0, 0, 1, 1, 1, 2, 1, 3, 1, 0, 2],[0, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 2, 3, 2, 1, 3],[1, 0, 0, 1, 3, 1, 5, 1, 6, 1, 0, 2, 3, 2, 6, 2, 1, 3, 4, 3, 5, 3],[6, 0, 7, 1, 8, 1, 0, 2, 1, 2, 6, 2, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 3, 3, 3, 4, 3],[4, 0, 1, 1, 2, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3],[4, 0, 6, 0, 7, 3, 0, 4, 5, 4, 6, 4, 7, 4, 0, 5, 1, 5, 0, 6],[6, 0, 7, 0, 1, 1, 6, 1, 6, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 0, 2, 3, 2, 4, 2, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 2, 3, 7, 3, 8, 3, 2, 4, 7, 4, 8, 4],[1, 0, 0, 1, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2],[0, 0, 0, 1, 0, 2, 4, 3, 3, 4, 4, 4, 5, 4],[4, 0, 4, 1, 3, 2, 5, 2, 0, 4, 1, 4, 2, 4],[1, 0, 0, 1, 1, 1, 4, 1, 5, 1, 6, 1, 1, 2],[5, 0, 5, 1, 6, 1, 6, 2, 0, 3, 1, 3, 2, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 2, 6, 2, 6, 3, 4, 4, 5, 4, 6, 4],[0, 0, 0, 1, 5, 1, 0, 2, 5, 2, 6, 2, 5, 3],[5, 0, 6, 1, 7, 1, 5, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 1, 3, 2, 4],[0, 0, 0, 1, 1, 1, 0, 2, 3, 4, 4, 4, 5, 4],[8, 0, 5, 1, 7, 1, 9, 1, 5, 2, 8, 2, 9, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 0, 1, 1, 1, 2, 1, 5, 4, 6, 4, 4, 5, 7, 5, 5, 6, 6, 6],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 2, 2, 4, 3, 5, 4, 6, 5, 5, 6],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 6, 3, 8, 3, 6, 4, 9, 4, 6, 5, 8, 5],[4, 0, 0, 1, 3, 1, 0, 2, 2, 2, 3, 2, 0, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 5, 4, 7, 4, 5, 5, 8, 5, 5, 6, 7, 6],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 5, 2, 2, 3, 4, 3, 3, 4],[0, 0, 1, 0, 1, 1, 3, 1, 0, 2, 1, 2, 2, 2, 4, 2, 4, 3],[5, 0, 6, 0, 7, 0, 6, 1, 0, 2, 1, 2, 2, 2],[2, 0, 4, 0, 0, 1, 1, 1, 5, 1, 0, 2, 4, 2, 3, 3],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 2, 3, 4, 3],[1, 0, 4, 0, 0, 1, 1, 1, 5, 1, 6, 1, 4, 2],[4, 0, 5, 0, 6, 0, 4, 1, 7, 1, 0, 2, 1, 2, 5, 2, 6, 2, 0, 3, 1, 3],[4, 0, 5, 0, 2, 1, 5, 1, 3, 2, 5, 2, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 1, 1, 0, 2, 1, 2, 4, 2, 3, 3, 0, 4, 1, 4, 3, 4, 4, 4],[3, 0, 5, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 1, 3, 3, 3],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 4, 2, 1, 3, 3, 3, 2, 4],[0, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 3, 3, 6, 3, 4, 4, 5, 4],[0, 0, 1, 0, 2, 0, 6, 0, 7, 1, 8, 1, 6, 2],[3, 0, 5, 0, 0, 2, 2, 2, 3, 2, 0, 3, 1, 3, 1, 4],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 5, 1, 0, 2, 3, 2, 4, 2, 1, 3],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 5, 2, 6, 2, 1, 4, 4, 4, 3, 5],[4, 0, 6, 0, 7, 0, 3, 1, 4, 1, 1, 4, 3, 4, 0, 5, 3, 5, 1, 6, 3, 6],[1, 0, 0, 1, 1, 1, 2, 1, 6, 3, 6, 4, 6, 5],[1, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3, 4, 3],[4, 0, 5, 0, 4, 1, 5, 1, 1, 3, 3, 3, 0, 4, 3, 4, 1, 5, 3, 5],[7, 0, 6, 1, 9, 1, 6, 2, 9, 2, 7, 3, 9, 3, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 0, 1, 1, 1, 0, 2, 5, 2, 1, 3, 2, 3, 5, 3, 5, 4],[1, 0, 2, 0, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 3, 3],[2, 0, 0, 1, 1, 1, 7, 1, 2, 2, 7, 2, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 4, 2, 5, 2, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 2, 0, 3, 1, 3, 2, 3],[4, 0, 4, 1, 5, 1, 2, 2, 5, 2, 0, 3, 1, 3, 2, 3],[7, 0, 8, 0, 7, 1, 8, 1, 1, 5, 2, 5, 0, 6, 3, 6, 1, 7, 2, 7, 3, 7],[3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 3, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3],[3, 0, 4, 0, 5, 0, 5, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3],[4, 0, 4, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 1, 4, 4, 4, 3, 5],[1, 0, 0, 1, 1, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3, 2, 4],[6, 0, 7, 0, 8, 0, 0, 1, 5, 1, 8, 1, 0, 2, 1, 2, 5, 2, 8, 2, 5, 3, 7, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 1, 1, 6, 2, 7, 2, 8, 2],[2, 0, 0, 1, 2, 1, 3, 1, 3, 2, 4, 2, 4, 3, 5, 3],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 1, 2, 3, 2, 2, 3],[6, 0, 2, 1, 6, 1, 7, 1, 1, 2, 0, 3, 1, 3, 1, 4, 2, 4],[5, 0, 0, 1, 4, 1, 5, 1, 1, 2, 2, 2, 4, 2, 1, 3],[4, 0, 5, 0, 3, 1, 5, 1, 0, 2, 1, 2, 3, 2, 2, 3],[3, 0, 1, 1, 4, 1, 1, 2, 5, 2, 0, 3, 5, 3, 1, 4, 2, 4, 5, 4, 4, 5],[1, 0, 0, 1, 1, 1, 1, 2, 7, 2, 7, 3, 7, 4],[0, 0, 1, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 2, 2, 2],[0, 0, 6, 0, 0, 1, 2, 1, 6, 1, 0, 2, 6, 2],[7, 0, 8, 1, 9, 1, 1, 2, 2, 2, 7, 2, 0, 3, 1, 3, 7, 3, 1, 4, 2, 5],[1, 0, 0, 1, 1, 1, 2, 1, 7, 1, 8, 1, 0, 2, 1, 2, 2, 2, 8, 2, 9, 2],[2, 0, 3, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 3],[4, 0, 2, 1, 3, 1, 4, 1, 5, 1, 1, 2, 6, 2, 0, 3, 4, 3, 5, 3, 1, 4, 4, 4],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 1, 2, 4, 2, 1, 3, 4, 3],[1, 0, 1, 1, 3, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3],[0, 0, 2, 0, 0, 1, 5, 1, 0, 2, 2, 2, 3, 2, 5, 2, 5, 3],[1, 0, 0, 1, 3, 2, 0, 3, 1, 3, 3, 3, 4, 3, 3, 4],[0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 5, 3, 4, 4, 5, 4],[0, 0, 1, 0, 2, 0, 4, 1, 1, 2, 4, 2, 3, 3, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 8, 2, 6, 3, 7, 3, 8, 3],[1, 0, 0, 1, 1, 1, 5, 1, 4, 2, 6, 2, 4, 3, 6, 3, 4, 4, 5, 4],[8, 0, 9, 0, 7, 1, 9, 1, 0, 2, 1, 2, 7, 2, 9, 2, 0, 3, 1, 3, 8, 3],[2, 0, 3, 0, 3, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3, 1, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 1, 2, 3, 2, 4, 2, 1, 3],[2, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 5, 3],[7, 0, 8, 0, 9, 0, 6, 1, 9, 1, 7, 2, 8, 2, 0, 4, 1, 4, 0, 5, 1, 5],[4, 0, 2, 1, 3, 1, 4, 1, 1, 2, 4, 2, 0, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 2, 1, 5, 1, 1, 2, 0, 4, 1, 4],[2, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 5, 4, 6, 4, 5, 5],[1, 0, 0, 1, 1, 1, 8, 1, 9, 1, 0, 2, 2, 2, 8, 2, 9, 2, 1, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 1, 3, 3, 3, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 3, 3, 4, 3, 5, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 0, 1, 6, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[5, 0, 6, 0, 0, 1, 1, 1, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 5, 2, 6, 2],[1, 0, 2, 0, 3, 0, 4, 1, 0, 2, 4, 2, 3, 3, 4, 3],[4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[3, 0, 4, 0, 5, 0, 0, 5, 1, 5, 2, 5, 3, 5, 5, 5, 6, 5, 7, 5, 8, 5, 4, 6],[0, 0, 4, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2],[5, 0, 1, 1, 2, 1, 6, 1, 0, 2, 6, 2, 0, 3, 6, 3, 1, 4, 5, 4, 4, 5],[0, 0, 1, 0, 3, 0, 1, 1, 4, 1, 2, 2, 3, 2, 4, 2],[1, 0, 0, 1, 2, 1, 8, 1, 0, 2, 2, 2, 7, 2, 9, 2, 1, 3, 7, 4, 8, 4, 9, 4],[1, 0, 0, 1, 2, 1, 6, 1, 0, 2, 2, 2, 6, 2, 1, 3, 5, 3, 7, 3, 6, 4, 6, 5],[6, 0, 0, 1, 1, 1, 2, 1, 6, 1, 5, 2, 7, 2],[0, 0, 0, 1, 1, 1, 3, 1, 2, 2, 3, 2, 3, 3],[4, 0, 4, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4],[2, 0, 3, 0, 3, 1, 4, 1, 2, 2, 3, 2, 0, 3, 2, 3],[1, 0, 0, 1, 4, 1, 1, 2, 3, 2, 4, 2, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 9, 0, 0, 1, 3, 1, 9, 1, 0, 2, 9, 2, 1, 3],[3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 3, 4, 4, 4, 5, 4],[0, 0, 0, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3, 3, 4],[1, 0, 0, 1, 3, 1, 4, 1, 1, 2, 5, 2, 1, 3, 5, 3, 2, 4, 4, 4, 3, 5],[0, 0, 1, 0, 0, 1, 1, 1, 4, 1, 5, 1, 3, 2, 6, 2, 4, 3, 6, 3, 5, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 5, 8, 5, 7, 6, 8, 6],[1, 0, 2, 0, 3, 0, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 5, 3],[1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 4, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 1, 3, 2, 3, 4, 3, 5, 3],[0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 3, 2, 3, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4],[3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3, 1, 4],[1, 0, 2, 0, 3, 0, 4, 1, 0, 2, 1, 2, 5, 2, 4, 3, 1, 4, 2, 4, 3, 4],[5, 0, 6, 0, 4, 1, 7, 1, 7, 2, 0, 3, 1, 3, 6, 3, 7, 3, 0, 4, 1, 4],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 2, 3, 2, 4, 5, 4, 4, 5],[3, 0, 4, 0, 5, 0, 1, 1, 4, 1, 0, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 9, 4, 10, 4, 9, 5, 10, 5],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 4, 2, 4, 3],[5, 0, 5, 1, 6, 1, 7, 2, 5, 3, 6, 3, 5, 4, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 0, 1, 1, 1, 3, 1, 1, 2, 2, 3, 4, 3, 3, 4],[0, 0, 1, 0, 5, 0, 7, 0, 0, 1, 1, 1, 5, 1, 7, 1, 5, 2, 6, 2, 7, 2],[2, 0, 3, 0, 5, 0, 6, 0, 1, 1, 6, 1, 0, 2, 5, 2, 1, 3],[0, 0, 12, 0, 1, 1, 11, 1, 1, 2, 2, 2, 10, 2, 11, 2, 0, 3, 1, 3, 11, 3, 12, 3],[2, 0, 2, 1, 0, 2, 8, 2, 0, 3, 7, 3, 9, 3, 0, 4, 10, 4, 9, 5, 7, 6, 8, 6],[1, 0, 2, 0, 3, 0, 0, 1, 2, 1, 0, 2, 7, 2, 8, 2, 9, 2],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 6, 3, 7, 3, 6, 4, 7, 4],[1, 0, 2, 0, 0, 1, 1, 2, 3, 2, 2, 3, 4, 3, 5, 3, 6, 3],[4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 6, 2],[0, 0, 1, 0, 4, 0, 6, 0, 1, 1, 5, 1, 6, 1, 6, 2],[3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 3, 2, 3, 3, 3],[2, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 0, 4, 1, 4],[1, 0, 3, 0, 0, 1, 1, 2, 4, 2, 2, 3, 4, 3, 5, 3, 3, 4, 4, 4],[5, 0, 0, 1, 1, 1, 6, 1, 0, 2, 1, 2, 5, 2, 6, 2, 7, 2],[0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 4, 2],[7, 0, 8, 0, 1, 1, 3, 1, 7, 1, 8, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[3, 0, 4, 0, 5, 1, 0, 2, 1, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[6, 0, 6, 1, 2, 2, 6, 2, 1, 3, 3, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[0, 0, 1, 0, 8, 1, 9, 1, 10, 1, 1, 2, 2, 3, 3, 3, 4, 3, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 3, 6, 4, 5, 5, 6, 5],[8, 0, 9, 0, 2, 1, 8, 1, 9, 1, 1, 2, 3, 2, 0, 3, 1, 4, 3, 4, 2, 5],[0, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 3, 3],[1, 0, 2, 0, 3, 0, 8, 1, 0, 2, 3, 2, 8, 2, 1, 3, 2, 3, 8, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 6, 1, 7, 1, 8, 1, 1, 2, 2, 2],[1, 0, 2, 0, 3, 0, 1, 1, 0, 2, 1, 3, 2, 3, 3, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 4, 3, 5, 3, 1, 4, 2, 4, 4, 4, 5, 4, 3, 5],[8, 0, 7, 1, 9, 1, 10, 2, 0, 3, 1, 3, 7, 3, 9, 3, 0, 4, 1, 4, 8, 4],[4, 0, 4, 1, 5, 1, 0, 2, 2, 2, 0, 3, 1, 3, 1, 4],[0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 4, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 3, 2, 1, 3, 3, 3],[3, 0, 1, 1, 5, 1, 0, 2, 1, 2, 1, 3, 2, 4, 3, 4, 4, 4],[4, 0, 2, 1, 3, 1, 5, 1, 1, 2, 4, 2, 0, 3, 1, 4, 3, 4, 2, 5],[0, 0, 1, 0, 5, 0, 0, 1, 1, 1, 6, 1, 7, 1, 2, 2, 5, 2],[2, 0, 3, 0, 4, 0, 2, 1, 3, 1, 2, 2, 0, 3, 1, 3, 0, 4],[2, 0, 3, 0, 3, 1, 4, 1, 0, 2, 2, 2, 0, 3, 0, 4],[2, 0, 6, 0, 7, 0, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2, 1, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 6, 1, 0, 2, 1, 2, 3, 2, 7, 2, 7, 3, 6, 4],[6, 0, 0, 1, 1, 1, 4, 1, 5, 1, 6, 1, 0, 2, 1, 2, 5, 2],[3, 0, 2, 1, 4, 1, 0, 2, 2, 2, 5, 2, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 1, 2, 2, 3, 3, 3, 4, 3],[0, 0, 0, 1, 0, 2, 3, 2, 4, 2, 4, 3, 5, 3, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 6, 2, 4, 3, 6, 3, 4, 4, 5, 4, 6, 4],[0, 0, 1, 0, 2, 0, 0, 1, 8, 1, 9, 1, 0, 2, 1, 2, 2, 2, 8, 2, 9, 2],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 6, 4, 7, 4, 6, 5, 7, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 7, 3, 5, 4, 7, 4, 5, 5, 6, 5, 7, 5],[4, 0, 6, 0, 3, 1, 6, 1, 0, 2, 1, 2, 3, 2, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 5, 3, 6, 3, 7, 3, 4, 4, 7, 4, 5, 5, 6, 5],[6, 0, 7, 0, 6, 1, 7, 1, 0, 5, 1, 5, 3, 5, 4, 5, 1, 6, 3, 6, 2, 7],[2, 0, 0, 1, 1, 1, 3, 1, 5, 2, 5, 3, 2, 4, 5, 4, 3, 5, 4, 5],[3, 0, 2, 1, 3, 1, 1, 2, 4, 2, 0, 3, 3, 3, 1, 4, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 4, 2, 5, 2, 5, 3],[3, 0, 4, 0, 5, 0, 2, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 0, 5, 1, 5, 2, 5],[7, 0, 6, 1, 7, 1, 8, 1, 6, 2, 6, 3, 1, 6, 2, 6, 3, 6, 0, 7, 1, 7, 1, 8],[2, 0, 4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 1, 3, 3, 3, 2, 4],[4, 0, 5, 0, 2, 1, 3, 1, 6, 1, 6, 2, 0, 3, 4, 3, 5, 3, 0, 4, 2, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 2],[2, 0, 3, 0, 4, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[6, 0, 7, 0, 8, 0, 1, 2, 3, 2, 0, 3, 3, 3, 2, 4, 3, 4],[7, 0, 6, 1, 8, 1, 1, 2, 2, 2, 6, 2, 9, 2, 0, 3, 1, 3, 9, 3, 1, 4],[1, 0, 2, 0, 2, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[0, 0, 0, 1, 0, 2, 4, 2, 5, 2, 1, 3, 6, 3, 2, 4, 6, 4, 3, 5, 4, 5, 5, 5],[1, 0, 6, 0, 0, 1, 6, 1, 1, 2, 6, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 1, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 8, 4, 6, 5, 9, 5, 7, 6, 8, 6, 9, 6],[3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 0, 2, 1, 2, 3, 2, 5, 2, 4, 3],[0, 0, 1, 0, 0, 1, 5, 1, 4, 2, 6, 2, 4, 3, 5, 3, 4, 4],[1, 0, 0, 1, 6, 1, 0, 2, 5, 2, 7, 2, 1, 3, 5, 3, 7, 3, 5, 4, 6, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 5, 4, 5, 5, 6, 5],[4, 0, 5, 0, 6, 0, 3, 1, 6, 1, 4, 2, 5, 2, 6, 2, 0, 3, 0, 4, 0, 5],[3, 0, 0, 1, 6, 1, 0, 2, 6, 2, 0, 3, 6, 3, 2, 4, 3, 4, 4, 4],[0, 0, 2, 0, 0, 1, 3, 1, 3, 2, 4, 3, 2, 4, 3, 4],[4, 0, 5, 0, 0, 1, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3],[2, 0, 3, 0, 4, 0, 5, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3, 1, 4],[8, 0, 7, 1, 9, 1, 7, 2, 9, 2, 8, 3, 9, 3, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 2, 1, 3, 3, 3],[1, 0, 0, 1, 3, 1, 4, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 6, 1, 6, 2, 7, 2, 5, 3, 7, 3, 6, 4],[3, 0, 4, 0, 5, 0, 5, 1, 5, 2, 4, 3, 3, 4, 0, 5, 1, 5, 2, 5],[2, 0, 3, 0, 4, 0, 2, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 3, 4],[4, 0, 0, 1, 1, 1, 5, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 4, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 1, 2],[1, 0, 0, 1, 1, 1, 2, 1, 4, 3, 5, 3, 6, 3, 5, 4, 4, 5],[3, 0, 4, 0, 2, 1, 4, 1, 5, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[4, 0, 4, 1, 5, 1, 2, 2, 6, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 6, 1, 7, 1, 0, 2, 2, 2, 6, 2, 7, 2, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 4, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 4, 1, 1, 2, 5, 2, 2, 3, 4, 3, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 2, 3, 3, 3, 4, 3],[3, 0, 0, 1, 2, 1, 5, 1, 1, 2, 2, 2, 6, 2, 3, 3, 5, 3],[0, 0, 1, 0, 2, 0, 4, 1, 5, 1, 4, 2, 5, 2, 5, 3],[1, 0, 2, 0, 0, 1, 4, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[1, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 5, 3, 1, 4, 5, 4, 4, 5],[0, 0, 5, 0, 6, 0, 0, 1, 5, 1, 0, 2, 1, 3, 2, 3],[7, 0, 7, 1, 8, 1, 9, 1, 1, 2, 0, 3, 2, 3, 7, 3, 9, 3, 0, 4, 1, 4, 8, 4],[0, 0, 1, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 2, 2, 2, 1, 3],[2, 0, 4, 0, 0, 1, 4, 1, 5, 1, 0, 2, 4, 2, 0, 3, 2, 3],[2, 0, 3, 0, 4, 0, 0, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[3, 0, 4, 0, 0, 1, 1, 1, 5, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 5, 1, 0, 2, 5, 2, 5, 3],[2, 0, 3, 0, 6, 0, 0, 1, 1, 1, 3, 1, 6, 1, 2, 2, 6, 2],[4, 0, 5, 0, 4, 1, 5, 1, 1, 2, 6, 2, 0, 3, 5, 3, 1, 4, 5, 4, 2, 5, 3, 5],[0, 0, 1, 0, 4, 0, 0, 1, 3, 1, 4, 1, 1, 2, 3, 2],[6, 0, 1, 1, 5, 1, 6, 1, 0, 2, 1, 2, 2, 2, 0, 3],[2, 0, 3, 0, 4, 0, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 6, 0, 7, 0, 0, 1, 6, 1, 7, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 5, 0, 6, 0, 1, 1, 6, 1, 1, 2, 4, 2, 5, 2, 3, 3, 4, 3],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 6, 2, 1, 3, 5, 3, 7, 3, 8, 3, 6, 4],[2, 0, 3, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 6, 5, 7, 5, 8, 5],[5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 3, 4, 0, 5, 1, 5, 2, 5],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 1, 3, 2, 3],[0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 1, 5, 2],[1, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 2, 2, 1, 3, 3, 3, 4, 3, 5, 3],[6, 0, 4, 1, 5, 1, 0, 2, 1, 2, 4, 2, 5, 2, 0, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 1, 1, 5, 2, 4, 3, 5, 3, 4, 4],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3],[0, 0, 0, 1, 1, 1, 6, 1, 4, 2, 6, 2, 4, 3, 5, 3, 6, 3],[1, 0, 0, 1, 4, 1, 0, 2, 2, 2, 4, 2, 5, 2, 1, 3, 2, 3, 4, 3],[6, 0, 7, 0, 6, 1, 8, 1, 7, 2, 6, 4, 7, 4, 0, 5, 1, 5, 2, 5],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 1, 3, 6, 3, 2, 4, 3, 4, 5, 4, 4, 5],[7, 0, 8, 0, 7, 1, 8, 1, 0, 3, 1, 3, 2, 3, 0, 4, 0, 5, 1, 5, 2, 5],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 5, 2, 0, 3, 4, 3, 0, 4, 1, 4],[6, 0, 0, 1, 1, 1, 5, 1, 7, 1, 0, 2, 1, 2, 4, 2, 5, 2, 7, 2, 8, 2],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 0, 3, 5, 3, 1, 4, 2, 5, 3, 5],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 2, 5, 2, 5, 3, 4, 4, 5, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 3, 3, 5, 3, 4, 4],[1, 0, 6, 0, 0, 1, 1, 1, 5, 1, 7, 1, 5, 2, 6, 2, 5, 3],[5, 0, 1, 1, 5, 1, 6, 1, 0, 2, 1, 2, 0, 3, 2, 3, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 3, 1, 4, 2, 1, 3, 2, 3, 3, 3],[5, 0, 6, 0, 7, 0, 2, 1, 1, 2, 2, 2, 0, 3, 1, 4, 2, 4, 2, 5],[2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3],[4, 0, 3, 1, 5, 1, 0, 2, 1, 2, 6, 2, 3, 3, 5, 3, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 8, 2, 9, 2, 9, 3, 7, 4, 8, 4, 9, 4],[2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2, 2, 3],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 0, 3, 1, 3, 1, 4],[0, 0, 1, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3, 4, 3, 3, 4],[9, 0, 9, 1, 7, 2, 8, 2, 9, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3],[9, 0, 10, 0, 0, 1, 1, 1, 2, 1, 9, 1, 10, 1, 0, 2, 2, 3, 1, 4],[1, 0, 1, 1, 0, 2, 2, 2, 0, 3, 3, 3, 4, 3, 0, 4, 4, 4],[5, 0, 6, 0, 5, 1, 6, 1, 2, 2, 0, 3, 1, 3, 2, 3, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 10, 4, 7, 5, 10, 5, 7, 6, 10, 6, 8, 7],[5, 0, 6, 0, 7, 0, 0, 1, 1, 1, 6, 1, 0, 2, 5, 2],[2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[3, 0, 4, 0, 2, 2, 3, 2, 1, 3, 2, 3, 0, 4, 1, 4],[0, 0, 1, 0, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[3, 0, 4, 0, 4, 1, 5, 1, 3, 2, 1, 3, 0, 4, 1, 4],[1, 0, 3, 0, 1, 1, 4, 1, 0, 2, 3, 2, 1, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 4, 3, 2, 4],[4, 0, 5, 0, 3, 1, 4, 1, 11, 1, 4, 2, 5, 2, 11, 2, 11, 3, 0, 5, 0, 6, 0, 7],[0, 0, 1, 0, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3, 2, 4, 3, 4, 4, 4],[3, 0, 4, 0, 5, 0, 3, 1, 5, 1, 0, 2, 1, 2, 3, 2, 5, 2, 2, 3, 1, 4, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 4, 2, 5, 2, 5, 3, 6, 3],[0, 0, 1, 0, 0, 1, 3, 1, 2, 2, 3, 2, 5, 2, 4, 3],[0, 0, 2, 0, 0, 1, 4, 1, 5, 2, 2, 3, 3, 3, 6, 3, 4, 4, 5, 4],[6, 0, 5, 1, 7, 1, 0, 2, 1, 2, 8, 2, 0, 3, 4, 3, 7, 3, 5, 4, 6, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 4, 3, 3, 4],[3, 0, 4, 0, 2, 1, 4, 1, 5, 1, 1, 2, 4, 2, 0, 3, 2, 4],[6, 0, 5, 1, 7, 1, 5, 2, 7, 2, 6, 3, 7, 3, 0, 5, 1, 5, 2, 5],[0, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 3, 1, 1, 2, 4, 2, 4, 3, 3, 4, 4, 4],[5, 0, 6, 0, 0, 1, 1, 1, 3, 1, 6, 1, 1, 2, 6, 2, 5, 3],[1, 0, 0, 1, 1, 1, 2, 1, 5, 1, 6, 1, 0, 2, 5, 2, 6, 2],[2, 0, 1, 1, 2, 1, 0, 2, 6, 2, 0, 3, 1, 3, 5, 3, 6, 3],[2, 0, 8, 0, 10, 0, 0, 1, 1, 1, 7, 1, 10, 1, 2, 2, 8, 2, 10, 2],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 2, 1, 3, 6, 3, 5, 4, 1, 5, 2, 6],[5, 0, 6, 0, 0, 1, 2, 1, 5, 1, 6, 1, 0, 2, 2, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 10, 0, 11, 0, 0, 1, 1, 1, 9, 1, 12, 1, 8, 2, 10, 2, 11, 2],[0, 0, 1, 0, 0, 1, 2, 1, 3, 1, 4, 3, 1, 4, 2, 4, 3, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 2, 3, 2, 4, 7, 6, 8, 6, 7, 7, 8, 7],[1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 2, 3, 3, 3, 4, 3],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 6, 3, 7, 3, 6, 4, 7, 4],[7, 0, 8, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3, 5, 3, 8, 3, 6, 4, 7, 4],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 2, 2, 5, 2, 3, 3, 4, 3, 3, 4],[0, 0, 4, 0, 7, 0, 0, 1, 4, 1, 7, 1, 0, 2, 4, 2, 8, 2, 7, 3],[2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 0, 1, 4, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4],[0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 5, 1, 6, 1, 6, 2],[0, 0, 1, 0, 2, 0, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3, 4, 3],[2, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 4, 2, 0, 3],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 2, 7, 2, 1, 3, 2, 3, 7, 3],[6, 0, 5, 1, 7, 1, 4, 2, 5, 2, 7, 2, 8, 2, 0, 6, 1, 6, 0, 7, 1, 7],[0, 0, 2, 0, 0, 1, 3, 1, 8, 1, 0, 2, 3, 2, 4, 2, 8, 2, 2, 3, 3, 3],[0, 0, 0, 1, 2, 1, 3, 1, 4, 1, 5, 2, 2, 3, 3, 3, 4, 3],[0, 0, 3, 0, 5, 0, 1, 1, 5, 1, 1, 2, 5, 2, 3, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 3, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 7, 2, 8, 2, 0, 3, 1, 3, 2, 3, 7, 3, 8, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 5, 0, 0, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3],[2, 0, 7, 0, 8, 0, 1, 1, 3, 1, 7, 1, 8, 1, 0, 2, 1, 2, 3, 2, 4, 2],[1, 0, 2, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 1, 2, 2, 2],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 4, 5, 4, 6, 10, 6, 11, 6, 10, 7, 11, 7],[1, 0, 0, 1, 2, 1, 3, 1, 2, 2, 2, 3, 4, 3, 5, 3, 3, 4],[6, 0, 6, 1, 7, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3, 6, 3, 7, 3, 5, 4, 6, 4],[5, 0, 6, 0, 7, 0, 1, 1, 0, 2, 2, 2, 0, 3, 1, 3, 1, 4],[2, 0, 5, 0, 6, 0, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 3, 3, 2, 4],[1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 1, 2, 5, 2, 6, 2],[0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 3, 2, 1, 3, 4, 3, 3, 4, 4, 4],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 4, 3, 4, 4, 4],[2, 0, 1, 1, 3, 1, 0, 2, 2, 3, 3, 3, 5, 4, 6, 4, 5, 5, 6, 5],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 1, 2, 7, 2, 8, 2, 0, 3, 7, 3, 8, 3],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 7, 2, 8, 2, 0, 5, 1, 5, 0, 6, 1, 6],[5, 0, 1, 1, 2, 1, 6, 1, 1, 2, 6, 2, 0, 3, 3, 3, 5, 3, 0, 4, 1, 4],[2, 0, 3, 0, 4, 0, 1, 1, 1, 2, 0, 3, 1, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 3, 4, 4, 2, 5, 3, 5],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 6, 2, 7, 2, 5, 3, 6, 3],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 2, 1, 4, 1, 5, 1, 0, 2, 4, 3],[4, 0, 2, 1, 4, 1, 5, 1, 0, 2, 1, 2, 6, 2, 6, 3, 5, 4],[0, 0, 0, 1, 1, 1, 0, 2, 4, 2, 5, 2, 5, 3, 6, 3],[1, 0, 0, 1, 1, 2, 3, 2, 4, 2, 3, 3, 5, 3, 6, 3, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 6, 2, 0, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 0, 1, 5, 1, 0, 2, 1, 2, 6, 2, 6, 3, 4, 4, 6, 4, 4, 5, 5, 5],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 3, 3, 4, 4, 4],[4, 0, 5, 0, 1, 1, 3, 1, 4, 1, 0, 3, 1, 3],[1, 0, 0, 1, 1, 1, 3, 1, 2, 3, 3, 3, 4, 3, 3, 4],[5, 0, 6, 0, 4, 1, 6, 1, 7, 1, 5, 2, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 5, 1, 6, 2, 7, 2, 1, 3, 5, 3, 6, 3],[0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 3, 0, 5, 0, 6, 0, 0, 1, 6, 1, 0, 2, 5, 2, 1, 3, 4, 3, 2, 4],[0, 0, 1, 0, 3, 0, 5, 0, 0, 1, 6, 1, 0, 2, 5, 2, 1, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 5, 3, 2, 4, 3, 4, 5, 4, 4, 5],[0, 0, 1, 0, 5, 0, 6, 0, 0, 1, 4, 1, 7, 1, 7, 2, 7, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 8, 1, 6, 2, 8, 2, 6, 3, 7, 3, 8, 3],[5, 0, 5, 1, 6, 1, 6, 2, 7, 2, 5, 3, 6, 3, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 6, 6, 7, 6, 6, 7, 7, 7],[8, 0, 9, 0, 7, 1, 8, 1, 8, 2, 1, 7, 0, 8, 1, 8, 2, 8, 0, 9],[0, 0, 0, 1, 1, 1, 2, 1, 7, 1, 8, 1, 1, 2, 7, 2, 8, 2],[6, 0, 5, 1, 7, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3, 7, 3, 6, 4],[2, 0, 4, 0, 1, 1, 4, 1, 1, 2, 4, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 3, 3, 2, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 4, 3, 5, 3, 6, 3, 0, 5, 2, 5],[1, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 9, 7, 10, 7, 9, 8, 10, 8],[2, 0, 3, 0, 1, 1, 4, 1, 1, 2, 5, 2, 0, 3, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 3, 0, 0, 1, 3, 1, 0, 2, 4, 2, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 3, 2, 1, 3, 2, 3],[4, 0, 1, 1, 2, 1, 5, 1, 0, 2, 3, 2, 5, 2, 0, 3, 1, 3, 4, 3, 5, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 0, 3, 1, 3],[6, 0, 7, 0, 1, 1, 6, 1, 7, 1, 0, 2, 0, 3, 0, 4, 3, 4, 1, 5, 2, 5],[8, 0, 12, 0, 9, 1, 10, 1, 9, 2, 10, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 0, 1, 6, 1, 7, 1, 0, 2, 6, 2, 7, 2, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[7, 0, 8, 0, 9, 0, 9, 1, 7, 2, 8, 2, 9, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 2, 3, 2, 4, 2],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 4, 2, 0, 3, 4, 3, 3, 4, 4, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 4, 2, 2, 3, 5, 3, 2, 4, 6, 4, 5, 5],[4, 0, 5, 0, 6, 0, 4, 1, 7, 1, 0, 3, 1, 3, 5, 3, 6, 3, 7, 3, 0, 4, 1, 4],[1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 8, 2, 9, 2, 10, 2, 2, 3, 3, 4],[0, 0, 1, 0, 4, 0, 0, 1, 3, 1, 4, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 3, 3, 4, 3, 5, 5],[8, 0, 9, 0, 11, 0, 8, 1, 10, 1, 8, 2, 0, 3, 1, 3, 0, 4, 1, 4],[2, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 3, 4, 4, 4, 5, 4],[0, 0, 4, 0, 0, 1, 4, 1, 5, 1, 0, 2, 4, 2],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 5, 2, 1, 3, 2, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 2, 2, 3, 2, 6, 3, 5, 4, 6, 4],[5, 0, 4, 1, 5, 1, 6, 1, 6, 2, 0, 4, 1, 4, 0, 5, 1, 5],[5, 0, 6, 0, 5, 1, 6, 1, 1, 2, 0, 3, 0, 4, 0, 5, 3, 5, 1, 6, 2, 6],[0, 0, 1, 1, 2, 1, 3, 2, 4, 2, 4, 3, 1, 4, 2, 4, 3, 4],[7, 0, 6, 1, 7, 1, 8, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 8, 2, 9, 2, 1, 3, 3, 3, 8, 3, 9, 3],[6, 0, 5, 1, 7, 1, 6, 2, 7, 2, 6, 3, 0, 6, 1, 6, 2, 6],[1, 0, 6, 0, 1, 1, 6, 1, 0, 2, 6, 2, 1, 3, 4, 3, 1, 4, 4, 4],[2, 0, 3, 0, 4, 0, 3, 2, 0, 3, 0, 4, 1, 4],[4, 0, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 1, 4, 2, 4],[0, 0, 1, 0, 0, 1, 4, 1, 1, 2, 3, 2, 1, 3, 3, 3, 4, 3, 5, 3, 6, 3],[3, 0, 4, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 3, 1, 4, 2, 4],[4, 0, 5, 0, 4, 1, 0, 3, 1, 3, 5, 3, 0, 4, 1, 4, 5, 4, 5, 5],[6, 0, 0, 1, 2, 1, 6, 1, 0, 2, 6, 2, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 3, 1, 3, 2, 4, 3, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 1, 3, 2, 3, 3, 3],[1, 0, 2, 1, 3, 1, 0, 2, 3, 2, 1, 3, 4, 3, 1, 4, 3, 4],[1, 0, 0, 1, 0, 2, 4, 2, 5, 2, 1, 3, 6, 3, 2, 4, 6, 4, 3, 5, 4, 5, 5, 5],[1, 0, 3, 1, 0, 2, 1, 2, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3],[1, 0, 2, 0, 6, 0, 7, 0, 0, 1, 1, 1, 6, 1, 7, 1, 1, 2],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3],[1, 0, 4, 0, 1, 1, 5, 1, 0, 2, 1, 2, 5, 2, 2, 3, 4, 3],[6, 0, 5, 1, 7, 1, 5, 2, 7, 2, 6, 3, 7, 3, 0, 6, 1, 6, 2, 6],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 7, 3, 8, 3, 7, 4, 8, 4],[0, 0, 0, 1, 0, 2, 5, 2, 6, 2, 7, 2, 1, 3, 4, 3, 2, 4, 4, 5, 5, 5, 6, 5],[4, 0, 5, 0, 4, 1, 5, 1, 1, 3, 0, 4, 1, 4, 2, 4, 0, 5],[0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2, 2, 3, 3, 3],[1, 0, 0, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3, 4, 3, 4, 4],[0, 0, 3, 0, 5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 2, 3, 2, 5, 2],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 5, 3, 2, 4, 4, 4],[0, 0, 1, 0, 8, 0, 9, 0, 10, 0, 0, 1, 1, 1, 10, 1, 8, 2, 9, 2, 10, 2],[5, 0, 1, 1, 6, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 2, 6, 2, 3, 4, 6, 4, 3, 5, 4, 5, 5, 5],[3, 0, 4, 0, 5, 0, 6, 2, 6, 3, 7, 3, 0, 5, 1, 5, 2, 5, 3, 5, 8, 5, 9, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 5, 3, 6, 3, 5, 4, 6, 4],[2, 0, 3, 0, 5, 0, 0, 1, 1, 1, 5, 1, 0, 2, 1, 2, 3, 2, 5, 2],[2, 0, 6, 0, 0, 1, 1, 1, 6, 1, 2, 2, 6, 2, 7, 2],[6, 0, 7, 0, 8, 0, 6, 1, 1, 3, 0, 4, 2, 4, 3, 4, 1, 5, 2, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 7, 2, 4, 4, 7, 4, 4, 5, 5, 5, 6, 5],[0, 0, 1, 0, 0, 1, 4, 1, 0, 2, 4, 2, 6, 3, 4, 4, 5, 4, 6, 4, 5, 5],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 5, 2, 6, 2, 7, 2, 7, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 2, 8, 2, 9, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 5, 3, 6, 3, 6, 4, 7, 4],[2, 0, 4, 0, 6, 0, 0, 1, 1, 1, 3, 1, 6, 1, 1, 2, 2, 2, 6, 2],[6, 0, 7, 0, 8, 0, 0, 1, 5, 1, 8, 1, 0, 2, 6, 2, 7, 2, 0, 3],[4, 0, 1, 1, 5, 1, 1, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4],[1, 0, 2, 0, 7, 0, 8, 0, 0, 1, 3, 1, 7, 1, 8, 1, 0, 2, 0, 3, 1, 4],[6, 0, 7, 0, 6, 1, 7, 1, 1, 2, 0, 3, 1, 3, 1, 4, 2, 4],[0, 0, 1, 0, 5, 0, 1, 1, 3, 1, 6, 1, 5, 2, 6, 2],[0, 0, 1, 0, 2, 0, 3, 1, 0, 2, 4, 2, 5, 3, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 0, 4, 1, 4],[4, 0, 5, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3, 6, 3, 7, 3, 6, 4, 7, 4],[4, 0, 5, 0, 6, 0, 0, 2, 1, 2, 4, 2, 7, 2, 0, 3, 1, 3, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 7, 4, 8, 4, 7, 5, 8, 5],[1, 0, 0, 1, 1, 1, 7, 1, 8, 1, 1, 2, 2, 2, 7, 2, 8, 2],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 5, 2, 5, 3, 2, 4, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 2, 5, 2, 1, 3, 4, 3, 2, 4, 3, 4],[1, 0, 7, 0, 8, 0, 0, 1, 7, 1, 8, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 2, 4, 3, 4, 4, 4],[5, 0, 6, 0, 5, 1, 6, 1, 1, 3, 3, 3, 0, 4, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6],[0, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 2, 5, 2],[3, 0, 4, 0, 5, 0, 2, 1, 5, 1, 1, 2, 4, 2, 5, 2, 0, 3, 1, 4, 3, 4],[0, 0, 4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 4, 1, 5, 1, 1, 2, 4, 2, 2, 3],[2, 0, 0, 1, 1, 1, 1, 2, 4, 2, 9, 2, 2, 3, 3, 3, 8, 3, 10, 3, 8, 4, 9, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 6, 2, 1, 3, 2, 3, 6, 3, 6, 4],[4, 0, 4, 1, 5, 1, 5, 2, 6, 2, 0, 4, 0, 5, 1, 5, 0, 6],[6, 0, 2, 1, 5, 1, 7, 1, 0, 2, 1, 2, 6, 2, 7, 2, 2, 3],[0, 0, 1, 0, 0, 1, 0, 2, 4, 2, 1, 3, 4, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 5, 3],[1, 0, 2, 0, 3, 0, 7, 0, 8, 0, 7, 1, 8, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[4, 0, 5, 0, 0, 1, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 2, 4],[0, 0, 1, 0, 2, 0, 2, 1, 5, 2, 4, 3, 6, 3, 7, 3, 5, 4, 6, 4],[6, 0, 7, 0, 7, 1, 8, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 2],[7, 0, 8, 0, 7, 1, 8, 1, 2, 2, 3, 2, 0, 3, 3, 3, 0, 4, 3, 4, 0, 5, 2, 5],[1, 0, 2, 0, 0, 1, 3, 1, 3, 2, 4, 2, 2, 3, 7, 5, 7, 6, 8, 6],[0, 0, 0, 1, 3, 1, 4, 1, 0, 2, 5, 2, 3, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 3, 1, 0, 2, 1, 2, 3, 2, 1, 3],[5, 0, 6, 0, 5, 1, 6, 1, 1, 3, 2, 3, 3, 3, 0, 4, 3, 4, 0, 6, 1, 6, 2, 6],[4, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 1, 2, 5, 2, 6, 2],[0, 0, 1, 0, 1, 2, 3, 2, 4, 2, 1, 3, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5],[1, 0, 2, 0, 0, 1, 4, 1, 0, 2, 1, 2, 4, 2, 1, 3, 4, 3],[7, 0, 8, 0, 7, 1, 8, 1, 0, 5, 1, 5, 2, 5, 0, 6, 0, 7, 1, 7, 2, 7],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 7, 3, 7, 4, 4, 5, 7, 5, 5, 6, 6, 6],[1, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 1, 4],[3, 0, 4, 0, 3, 1, 6, 1, 3, 2, 6, 2, 4, 3, 6, 3, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 6, 2, 7, 2, 8, 2, 6, 3],[3, 0, 4, 0, 7, 0, 8, 0, 0, 1, 4, 1, 7, 1, 8, 1, 2, 2, 3, 2, 2, 3],[3, 0, 4, 0, 5, 0, 0, 1, 0, 2, 1, 2, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 4, 0, 3, 1, 5, 1, 6, 1, 4, 2],[12, 0, 13, 0, 1, 1, 12, 1, 13, 1, 0, 2, 3, 2, 0, 3, 3, 3, 1, 4, 3, 4],[6, 0, 7, 0, 2, 1, 7, 1, 8, 1, 0, 2, 1, 2, 2, 2, 7, 2, 6, 3],[0, 0, 1, 1, 2, 1, 0, 2, 4, 2, 5, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 5, 3, 6, 3, 7, 3],[0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 9, 4, 10, 4, 9, 5, 10, 5],[7, 0, 8, 0, 7, 1, 8, 1, 1, 3, 0, 4, 1, 4, 2, 4, 0, 5],[3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 3, 5, 4, 7, 4, 7, 5, 4, 6, 5, 6, 6, 6],[0, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 2, 3, 5, 3, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 4, 6, 4, 8, 4, 9, 4, 6, 5, 8, 5, 7, 6],[6, 0, 6, 1, 7, 1, 0, 2, 1, 2, 5, 2, 6, 2, 0, 3, 1, 3],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3, 6, 4, 7, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 4, 3, 5, 3],[14, 0, 14, 1, 16, 1, 14, 2, 15, 2, 16, 2, 0, 3, 1, 3, 16, 3, 0, 4, 1, 4],[0, 0, 1, 0, 8, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 7, 2],[5, 0, 2, 1, 3, 1, 5, 1, 1, 2, 0, 3, 1, 3, 2, 3],[4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[0, 0, 0, 1, 0, 2, 4, 2, 5, 2, 3, 3, 6, 3, 3, 4, 4, 4, 5, 4, 4, 5],[4, 0, 1, 1, 5, 1, 0, 2, 1, 2, 5, 2, 1, 3, 3, 3, 4, 3],[5, 0, 6, 0, 7, 0, 4, 1, 8, 1, 8, 2, 7, 3, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 2, 0, 2, 1, 3, 2, 1, 3, 2, 3, 3, 3],[0, 0, 0, 1, 0, 2, 1, 2, 5, 2, 6, 2, 1, 3, 6, 3, 1, 4],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 5, 1, 8, 1, 5, 2, 6, 2, 7, 2],[3, 0, 4, 0, 5, 0, 2, 1, 3, 1, 5, 1, 6, 1, 2, 2, 3, 2, 0, 4, 1, 4],[7, 0, 8, 0, 0, 1, 1, 1, 2, 1, 8, 1, 9, 1, 7, 2, 8, 2, 7, 3],[6, 0, 7, 0, 0, 1, 1, 1, 7, 1, 8, 1, 0, 2, 1, 2, 7, 2],[0, 0, 1, 0, 2, 0, 7, 0, 8, 0, 0, 1, 2, 1, 7, 1, 8, 1, 0, 2, 2, 2],[7, 0, 7, 1, 7, 2, 0, 4, 1, 4, 0, 5, 3, 5, 0, 6, 2, 6],[4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 0, 3, 6, 3, 1, 4, 5, 4, 6, 4],[5, 0, 6, 0, 7, 0, 7, 1, 5, 2, 7, 2, 0, 3, 1, 3, 5, 3, 6, 3, 0, 4, 1, 4],[0, 0, 1, 0, 4, 0, 1, 1, 2, 1, 4, 1, 5, 1, 2, 2, 3, 2, 4, 2],[1, 0, 1, 1, 0, 2, 1, 3, 2, 3, 4, 3, 1, 4, 2, 4, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 2, 2, 6, 4, 7, 4, 8, 4, 6, 5],[8, 0, 9, 0, 10, 0, 10, 1, 0, 2, 1, 2, 8, 2, 9, 2, 10, 2, 0, 3, 1, 3],[4, 0, 5, 1, 1, 2, 2, 2, 6, 2, 0, 3, 3, 3, 6, 3, 5, 4, 6, 4],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 1, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 5, 0, 6, 0, 2, 1, 5, 1, 6, 1, 0, 2, 1, 2, 2, 2],[3, 0, 4, 0, 2, 1, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4],[1, 0, 2, 0, 5, 0, 1, 1, 2, 1, 6, 1, 0, 2, 3, 2, 5, 2],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 3, 2, 3, 3, 5, 3, 4, 4],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 1, 4, 4, 4],[2, 0, 3, 0, 5, 0, 3, 1, 6, 1, 1, 2, 4, 2, 0, 3, 1, 3, 5, 3],[4, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4, 4, 5],[1, 0, 3, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 3, 2, 4, 2],[0, 0, 1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 7, 5, 8, 5, 7, 6, 8, 6],[0, 0, 2, 0, 0, 1, 3, 1, 7, 1, 8, 1, 0, 2, 2, 2, 6, 2, 8, 2, 7, 3],[4, 0, 5, 0, 6, 0, 3, 1, 7, 1, 7, 2, 6, 3, 0, 5, 1, 5, 0, 6, 1, 6],[5, 0, 0, 1, 1, 1, 6, 1, 0, 2, 6, 2, 4, 3, 5, 3, 4, 4],[7, 0, 8, 0, 1, 1, 7, 1, 8, 1, 0, 2, 0, 3, 0, 4, 3, 4, 1, 5, 2, 5],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 2, 1, 3, 5, 3, 6, 3],[0, 0, 1, 0, 7, 0, 8, 0, 9, 0, 0, 1, 1, 1, 6, 1, 9, 1, 6, 3, 7, 3, 8, 3],[2, 0, 7, 0, 8, 0, 9, 0, 0, 1, 1, 1, 2, 1, 6, 1, 9, 1, 7, 2, 8, 2],[1, 0, 3, 0, 6, 1, 0, 2, 1, 2, 5, 2, 6, 2, 1, 3, 3, 3, 5, 3, 6, 3],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 9, 3, 10, 3, 9, 4, 10, 4],[4, 0, 6, 0, 3, 1, 7, 1, 4, 2, 6, 2, 5, 3, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 6, 1, 5, 2, 8, 2, 5, 3, 8, 3, 6, 4, 8, 4],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 5, 4, 6, 4, 5, 5, 6, 5],[1, 0, 0, 1, 2, 1, 5, 1, 1, 2, 6, 2, 6, 3, 7, 3, 5, 4],[6, 0, 7, 0, 8, 0, 1, 4, 2, 4, 0, 5, 1, 5, 3, 5, 1, 6, 3, 6, 2, 7],[8, 0, 9, 0, 8, 1, 9, 1, 0, 4, 1, 4, 2, 4, 0, 5, 0, 6, 1, 6, 2, 6],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 2, 1, 3, 4, 3, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 3, 2, 1, 3, 3, 3],[5, 0, 5, 1, 6, 1, 1, 2, 2, 2, 6, 2, 0, 3, 1, 3, 1, 4, 2, 4],[3, 0, 1, 1, 3, 1, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[0, 0, 0, 1, 3, 1, 4, 1, 5, 1, 6, 1, 0, 2, 6, 2, 1, 3, 2, 4, 5, 4],[6, 0, 7, 0, 8, 0, 1, 3, 2, 3, 1, 5, 0, 6, 2, 6, 1, 7, 2, 7],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 1, 3, 2, 3, 3, 3],[6, 0, 5, 1, 6, 1, 7, 1, 7, 2, 0, 4, 1, 4, 0, 5, 1, 5],[5, 0, 6, 0, 5, 1, 6, 1, 2, 3, 1, 4, 3, 4, 0, 5, 4, 5, 1, 6, 4, 6],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 7, 2, 8, 2, 6, 3, 7, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 5, 4, 6, 4, 4, 5, 5, 5],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[6, 0, 7, 0, 6, 1, 7, 1, 1, 4, 2, 5, 0, 6, 0, 7, 1, 7, 2, 7],[5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 1, 3, 1, 4],[0, 0, 1, 0, 2, 0, 7, 1, 6, 2, 8, 2, 6, 3, 8, 3, 7, 4, 8, 4],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 3, 4, 3],[0, 0, 1, 0, 2, 0, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 2, 4],[5, 0, 6, 0, 4, 1, 7, 1, 0, 2, 2, 2, 4, 2, 6, 2, 1, 3, 5, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 3, 3, 4, 3],[6, 0, 7, 0, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 0, 3, 2, 3, 0, 4, 2, 4],[1, 0, 2, 0, 3, 0, 6, 0, 7, 0, 6, 1, 7, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 6, 3, 1, 4, 6, 4, 1, 5, 4, 6, 5, 6],[6, 0, 0, 1, 1, 1, 3, 1, 7, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4, 3, 4],[4, 0, 2, 1, 3, 1, 4, 1, 5, 1, 0, 2, 1, 2, 2, 3],[7, 0, 7, 1, 8, 1, 8, 2, 9, 2, 2, 3, 0, 4, 1, 4, 3, 4, 4, 4, 2, 5],[3, 0, 5, 0, 1, 1, 5, 1, 1, 2, 0, 3, 3, 3, 5, 3, 5, 4],[6, 0, 7, 0, 6, 1, 7, 1, 1, 3, 0, 4, 1, 4, 2, 4, 0, 5],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 2, 4],[7, 0, 8, 1, 8, 2, 5, 3, 8, 3, 0, 4, 1, 4, 6, 4, 7, 4, 0, 5, 1, 5],[3, 0, 4, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[2, 0, 7, 0, 1, 1, 3, 1, 7, 1, 0, 2, 1, 2, 3, 2, 7, 2, 2, 3],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 5, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4],[1, 0, 2, 0, 3, 0, 0, 1, 2, 1, 4, 1, 5, 1, 4, 2, 5, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 3, 5, 4, 6, 4, 6, 5, 7, 5],[6, 0, 7, 0, 8, 0, 5, 1, 8, 1, 0, 3, 1, 3, 5, 3, 6, 3, 7, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 6, 2, 2, 3, 6, 3, 5, 4, 6, 4],[6, 0, 5, 1, 6, 1, 7, 1, 5, 2, 0, 4, 1, 4, 0, 5, 1, 5],[7, 0, 1, 1, 2, 1, 7, 1, 0, 2, 3, 2, 7, 2, 1, 3, 2, 3, 3, 3],[2, 0, 3, 0, 4, 0, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4],[2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 6, 2, 7, 2, 8, 2, 0, 3, 2, 3],[4, 0, 3, 1, 4, 1, 2, 2, 5, 2, 0, 3, 0, 4, 4, 4, 0, 5, 3, 5],[4, 0, 2, 1, 5, 1, 6, 1, 1, 2, 2, 2, 3, 2, 2, 4, 0, 5, 1, 5, 2, 5],[8, 0, 9, 1, 0, 2, 1, 2, 5, 2, 9, 2, 0, 3, 1, 3, 6, 3, 7, 3, 8, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 8, 5, 9, 5, 7, 6, 8, 6],[2, 0, 3, 0, 1, 1, 2, 1, 0, 2, 1, 2, 5, 3, 6, 3, 5, 4, 6, 4],[1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 3, 6, 3, 7, 3, 8, 3, 6, 4],[2, 0, 3, 0, 1, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 5, 3, 5, 4],[3, 0, 4, 0, 5, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 0, 4],[1, 0, 0, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3, 4, 4],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 2, 1, 3, 4, 3, 4, 4],[1, 0, 5, 0, 0, 1, 5, 1, 6, 1, 0, 2, 6, 2, 7, 2, 1, 3, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 2, 6, 3, 7, 3, 8, 3, 7, 4],[3, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 0, 4, 2, 4],[0, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 4, 3, 5, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 2, 3, 4, 3, 5, 3],[3, 0, 4, 1, 5, 1, 3, 3, 0, 4, 1, 4, 2, 4, 4, 4, 5, 4],[1, 0, 0, 1, 3, 1, 6, 1, 1, 2, 4, 2, 5, 2, 7, 2, 4, 3, 5, 3, 6, 3],[0, 0, 2, 0, 0, 1, 3, 1, 6, 1, 0, 2, 2, 2, 5, 2, 7, 2, 6, 3, 7, 3],[0, 0, 1, 0, 6, 0, 0, 1, 1, 1, 6, 1, 7, 1, 7, 2, 8, 2, 6, 3, 7, 3],[2, 0, 5, 0, 1, 1, 6, 1, 0, 2, 5, 2, 1, 3, 3, 3, 4, 3, 2, 4],[6, 0, 7, 0, 6, 1, 7, 1, 1, 2, 2, 2, 0, 3, 1, 3, 1, 4],[5, 0, 6, 0, 7, 0, 4, 1, 7, 1, 4, 3, 5, 3, 6, 3, 0, 4, 1, 4, 0, 5, 1, 5],[6, 0, 5, 1, 6, 1, 7, 1, 5, 2, 7, 2, 8, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 5, 2, 1, 3, 6, 3, 3, 4, 5, 4],[0, 0, 1, 0, 2, 0, 4, 0, 3, 1, 4, 1, 5, 1, 0, 2, 2, 2, 1, 3],[2, 0, 1, 1, 2, 1, 3, 1, 5, 1, 6, 1, 0, 2, 3, 2, 5, 2, 8, 3, 8, 5],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 7, 2, 8, 2, 7, 3, 8, 3],[1, 0, 2, 0, 3, 0, 0, 1, 5, 1, 5, 2, 0, 3, 1, 3, 3, 3, 5, 3],[6, 0, 4, 1, 5, 1, 6, 1, 5, 2, 0, 5, 1, 5, 0, 6, 1, 6],[2, 0, 8, 0, 9, 0, 1, 1, 8, 1, 9, 1, 2, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 1, 2, 3, 3, 4, 3, 5, 3],[5, 0, 6, 0, 2, 1, 4, 1, 6, 1, 1, 2, 3, 2, 0, 3, 1, 4],[2, 0, 1, 1, 3, 1, 1, 2, 4, 2, 0, 3, 1, 3, 3, 3, 2, 4, 3, 4],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 4, 1, 0, 2, 3, 2, 1, 3, 3, 3],[0, 0, 1, 0, 4, 0, 0, 1, 1, 1, 3, 1, 5, 1, 3, 2, 5, 2, 3, 3, 4, 3, 5, 3],[0, 0, 5, 0, 3, 1, 4, 1, 6, 1, 7, 1, 3, 2, 5, 2, 1, 3, 1, 4],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 5, 2, 2, 3, 5, 3, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 7, 0, 1, 1, 6, 1, 8, 1, 5, 2, 8, 2, 6, 3, 7, 3],[1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 2, 7, 2, 6, 3, 7, 3],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 6, 3, 7, 3, 6, 4, 7, 4],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 0, 3, 3, 3, 4, 3],[4, 0, 3, 1, 4, 1, 5, 1, 0, 4, 1, 4, 2, 4],[3, 0, 1, 1, 2, 1, 5, 1, 0, 2, 2, 2, 6, 2, 1, 3, 2, 3, 5, 3],[4, 0, 0, 1, 3, 1, 4, 1, 1, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 6, 4, 7, 4, 6, 5, 7, 5],[7, 0, 7, 1, 8, 1, 7, 2, 9, 2, 0, 3, 1, 3, 2, 3, 8, 3, 9, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 1, 5, 2, 5, 3, 6, 3, 7, 3],[3, 0, 1, 1, 4, 1, 1, 2, 5, 2, 0, 3, 3, 3, 6, 3, 5, 4],[3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3],[7, 0, 5, 1, 6, 1, 7, 1, 6, 2, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 0, 3, 4, 3, 1, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 4, 4, 5, 4, 6, 4, 6, 5],[0, 0, 0, 1, 1, 1, 7, 2, 8, 2, 7, 3, 8, 3, 10, 3, 11, 3, 7, 4, 8, 4, 9, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 8, 1, 9, 1, 6, 2, 9, 2, 6, 4, 7, 4, 8, 4],[2, 0, 5, 0, 6, 0, 0, 1, 2, 1, 4, 1, 6, 1, 4, 2, 5, 2, 6, 2],[4, 0, 5, 0, 6, 0, 4, 1, 4, 2, 5, 2, 6, 2, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 0, 3, 3, 3, 2, 4],[0, 0, 1, 0, 2, 0, 2, 1, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 2],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 3, 3, 5, 3, 4, 4],[3, 0, 4, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 2, 3],[6, 0, 7, 0, 6, 1, 7, 1, 2, 3, 1, 4, 2, 4, 0, 5, 3, 5, 1, 6, 2, 6],[3, 0, 4, 1, 3, 2, 4, 2, 5, 2, 0, 3, 1, 3, 3, 3, 0, 4, 1, 4],[3, 0, 4, 0, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 5, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 5, 1, 0, 2, 3, 2, 1, 3, 3, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 2, 3, 3, 4, 3],[0, 0, 2, 0, 6, 0, 0, 1, 1, 1, 7, 1, 7, 2, 8, 2, 6, 3, 7, 3, 6, 4],[0, 0, 1, 0, 2, 0, 6, 0, 2, 1, 5, 1, 6, 1, 7, 1],[2, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 6, 2, 8, 2, 6, 3, 8, 3],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 2, 4, 2, 2, 3, 4, 3],[6, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 0, 2, 0, 3, 1, 3, 2, 3],[6, 0, 7, 0, 0, 1, 1, 1, 6, 1, 8, 1, 0, 2, 1, 2, 8, 2, 6, 3, 7, 3, 8, 3],[6, 0, 1, 1, 5, 1, 7, 1, 2, 2, 5, 2, 7, 2, 0, 3, 6, 3, 0, 4, 1, 4, 2, 4],[5, 0, 6, 0, 1, 1, 4, 1, 7, 1, 0, 2, 3, 2, 5, 2, 6, 2, 1, 3],[2, 0, 0, 1, 0, 2, 4, 2, 7, 2, 0, 3, 6, 3, 1, 4, 6, 4, 2, 5, 3, 5],[2, 0, 0, 1, 1, 1, 2, 1, 6, 2, 7, 2, 8, 2, 6, 3, 6, 4],[3, 0, 6, 0, 2, 1, 3, 1, 6, 1, 1, 2, 5, 2, 0, 3, 1, 4, 3, 4, 2, 5],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 6, 2, 6, 3, 7, 3, 6, 4],[4, 0, 3, 1, 4, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 0, 4, 3, 4, 1, 5],[4, 0, 2, 1, 4, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3],[0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 5, 2, 6, 2, 5, 3, 6, 3],[5, 0, 5, 1, 6, 1, 0, 2, 1, 2, 2, 2, 5, 2],[5, 0, 6, 0, 7, 0, 5, 2, 8, 2, 6, 3, 7, 3, 8, 3, 0, 6, 1, 6, 0, 7, 1, 7],[4, 0, 5, 0, 3, 1, 6, 1, 0, 2, 5, 2, 0, 3, 4, 3, 5, 3, 0, 4],[4, 0, 5, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 2, 4, 2, 0, 3, 0, 4, 1, 4, 2, 4],[4, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 1, 3, 2, 3, 4, 3, 5, 3, 3, 4],[4, 0, 4, 1, 4, 2, 0, 4, 1, 4, 2, 4, 7, 8, 10, 8, 7, 9, 8, 9, 9, 9],[0, 0, 0, 1, 2, 1, 3, 1, 4, 1, 2, 2, 3, 2, 3, 3, 6, 3, 4, 4, 5, 4, 5, 5],[4, 0, 5, 0, 2, 1, 5, 1, 0, 2, 1, 2, 5, 2, 0, 3, 1, 3, 4, 3],[0, 0, 1, 0, 2, 0, 6, 0, 1, 1, 5, 1, 7, 1, 6, 2],[2, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 5, 4, 1, 5, 4, 5],[0, 0, 2, 0, 3, 0, 4, 0, 5, 1, 0, 2, 4, 2, 5, 2, 2, 3, 3, 3],[2, 0, 0, 1, 1, 1, 4, 1, 1, 2, 2, 2, 7, 2, 8, 2, 2, 3, 6, 3, 8, 3],[0, 0, 1, 0, 2, 1, 7, 1, 8, 1, 9, 1, 0, 2, 2, 2, 0, 3, 1, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 8, 3, 8, 4, 5, 5, 8, 5, 6, 6, 7, 6],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 2, 2, 5, 2, 4, 3, 5, 3],[1, 0, 2, 0, 6, 0, 0, 1, 2, 1, 7, 1, 8, 1, 1, 2, 6, 2],[0, 0, 0, 1, 0, 2, 6, 3, 7, 3, 5, 4, 8, 4, 6, 5, 7, 5, 8, 5],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 2, 5, 3, 6, 3, 5, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 2, 4, 3, 5, 3, 1, 4, 2, 4, 4, 4, 3, 5],[7, 0, 8, 0, 7, 1, 8, 1, 0, 5, 2, 5, 0, 6, 2, 6, 0, 7, 1, 7, 2, 7],[1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 5, 4, 6, 4, 5, 5, 6, 5],[1, 0, 0, 1, 3, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 4, 5, 4],[0, 0, 0, 1, 2, 1, 6, 1, 0, 2, 5, 2, 7, 2, 6, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 3, 1, 3, 9, 6, 10, 6, 9, 7, 10, 7],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 4, 1, 4, 2, 4],[0, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 4, 2, 2, 3, 4, 3],[3, 0, 4, 0, 2, 1, 3, 1, 5, 1, 6, 1, 6, 2, 1, 3, 6, 3, 0, 4, 5, 4, 2, 5],[0, 0, 5, 0, 0, 1, 5, 1, 6, 1, 0, 2, 7, 2, 5, 3, 6, 3, 5, 4],[0, 0, 1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 5, 2, 7, 2, 1, 3, 5, 3, 8, 3, 5, 4, 7, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 4, 2, 4, 4, 4, 5, 4, 3, 5],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 6, 1, 0, 2, 3, 2, 6, 2, 1, 3],[2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 4, 3],[2, 0, 4, 0, 5, 0, 6, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2],[5, 0, 6, 0, 5, 1, 6, 1, 1, 4, 0, 5, 1, 5, 1, 6, 2, 6],[1, 0, 0, 1, 2, 1, 0, 2, 1, 3, 5, 3, 6, 3, 2, 4, 6, 4, 3, 5, 4, 5, 5, 5],[4, 0, 4, 1, 5, 1, 5, 2, 6, 2, 4, 3, 5, 3, 0, 4, 1, 4, 1, 5],[1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 4, 2, 0, 3, 2, 3, 0, 4],[3, 0, 1, 1, 4, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 2, 4, 1, 5, 2, 5],[4, 0, 5, 0, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 1, 2, 4, 2, 3, 3, 4, 3],[2, 0, 7, 0, 0, 1, 1, 1, 6, 1, 8, 1, 2, 2, 7, 2, 8, 2],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 5, 2, 6, 2, 6, 3, 7, 3, 7, 4],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 7, 3, 8, 3, 7, 4, 8, 4],[2, 0, 0, 1, 5, 1, 6, 1, 0, 2, 6, 2, 7, 2, 0, 3, 4, 3, 5, 3],[1, 0, 4, 0, 5, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 3],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 1, 2, 1, 3, 3, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 2, 3, 5, 5, 6, 5, 7, 5],[0, 0, 2, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 2, 5, 3, 6, 3, 5, 4],[6, 0, 8, 0, 5, 1, 8, 1, 5, 2, 8, 2, 5, 3, 6, 3, 0, 5, 1, 5, 0, 6, 1, 6],[3, 0, 4, 0, 5, 0, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 0, 4, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 7, 2, 5, 4, 8, 4, 6, 5, 7, 5, 8, 5],[5, 0, 5, 1, 6, 1, 5, 2, 0, 4, 1, 4, 0, 5, 2, 5, 1, 6],[6, 0, 6, 1, 7, 1, 5, 2, 6, 2, 0, 4, 1, 4, 0, 5, 1, 5],[3, 0, 2, 1, 4, 1, 0, 2, 5, 2, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[8, 0, 7, 1, 8, 1, 0, 2, 1, 2, 3, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 2, 1, 4, 1, 0, 2, 3, 2, 5, 2, 6, 2, 4, 3],[0, 0, 4, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 2],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 1, 3, 2, 3, 3, 3],[8, 0, 0, 1, 1, 1, 7, 1, 8, 1, 9, 1, 0, 2, 1, 2, 9, 2],[3, 0, 2, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 6, 5, 7, 5, 6, 6, 7, 6],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 7, 2, 8, 2, 7, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 8, 2, 9, 2, 6, 3, 9, 3, 6, 5, 7, 5, 8, 5],[4, 0, 5, 0, 3, 1, 6, 1, 3, 2, 4, 3, 5, 3, 6, 3, 0, 5, 1, 5, 0, 6, 1, 6],[7, 0, 0, 1, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 7, 2, 8, 2],[1, 0, 2, 0, 0, 1, 1, 1, 5, 2, 5, 3, 6, 3, 5, 4],[5, 0, 6, 0, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 7, 2, 0, 3, 1, 3, 4, 3, 6, 3],[6, 0, 7, 0, 6, 1, 7, 1, 1, 4, 0, 5, 1, 5, 1, 6, 2, 6],[2, 0, 3, 0, 1, 1, 3, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 3, 1, 3, 6, 6, 7, 6, 8, 6],[3, 0, 4, 0, 0, 1, 1, 1, 10, 1, 0, 2, 1, 2, 4, 2, 10, 2, 10, 3],[2, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 6, 3, 3, 4, 4, 4, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 6, 5, 7, 5, 8, 5, 8, 6],[10, 0, 11, 0, 12, 0, 0, 3, 1, 3, 9, 3, 12, 3, 0, 4, 1, 4, 10, 4, 11, 4],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 4, 2, 0, 3, 1, 3, 4, 3, 2, 4],[1, 0, 2, 0, 6, 0, 7, 0, 0, 1, 3, 1, 6, 1, 7, 1, 0, 2, 0, 3, 1, 3],[1, 0, 0, 1, 1, 1, 2, 1, 6, 3, 5, 4, 7, 4, 5, 5, 6, 5],[5, 0, 0, 1, 1, 1, 3, 1, 5, 1, 6, 1, 0, 2, 5, 2, 1, 4, 2, 4],[1, 0, 10, 1, 11, 1, 0, 2, 1, 2, 9, 2, 12, 2, 2, 3, 9, 3, 12, 3, 9, 4, 11, 4],[5, 0, 1, 1, 6, 1, 1, 2, 6, 2, 0, 3, 2, 3, 5, 3, 6, 3, 0, 4, 1, 4],[4, 0, 4, 1, 5, 1, 1, 2, 0, 3, 1, 3, 2, 3, 1, 4],[4, 0, 3, 1, 4, 1, 5, 1, 1, 2, 2, 2, 5, 2, 0, 3, 0, 4],[7, 0, 2, 1, 5, 1, 8, 1, 0, 2, 1, 2, 3, 2, 4, 2, 7, 2, 2, 3],[7, 0, 8, 0, 7, 1, 9, 1, 6, 2, 9, 2, 0, 6, 1, 6, 2, 6],[4, 0, 5, 0, 3, 1, 5, 1, 0, 2, 4, 2, 2, 3, 3, 3, 2, 4],[2, 0, 4, 0, 5, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 0, 4],[0, 0, 1, 0, 2, 0, 5, 3, 6, 3, 2, 4, 3, 4, 5, 4, 3, 5, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 6, 3, 7, 3, 5, 4, 7, 4, 5, 5, 7, 5],[0, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 1, 2, 6, 2, 3, 3, 4, 3],[6, 0, 7, 0, 7, 1, 8, 1, 7, 2, 0, 4, 1, 4, 0, 5, 1, 5],[3, 0, 2, 1, 4, 1, 0, 2, 5, 2, 0, 3, 4, 3, 0, 4],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 5, 1, 0, 2, 5, 2, 4, 3],[2, 0, 7, 0, 8, 0, 0, 1, 1, 1, 6, 1, 7, 1, 2, 2, 6, 2],[3, 0, 5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 1, 3, 3, 3],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 6, 5, 7, 5, 6, 6, 7, 6],[1, 0, 4, 0, 5, 0, 0, 1, 4, 1, 5, 1, 0, 2, 2, 2, 3, 2, 6, 2, 0, 3, 1, 3],[2, 0, 1, 1, 4, 1, 0, 2, 1, 2, 4, 2, 3, 3, 4, 3],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 3, 5, 3, 6, 3],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 0, 2, 4, 2, 2, 3, 3, 3],[2, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3, 5, 3, 4, 4, 5, 4],[1, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[0, 0, 0, 1, 1, 1, 0, 2, 6, 2, 7, 2, 5, 3, 7, 3, 6, 4],[2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 0, 2, 0, 3, 5, 3, 6, 3, 1, 4, 2, 4, 3, 4],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 2, 3, 3, 3, 4, 3, 0, 4],[1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 3, 1, 3, 8, 4, 9, 4, 8, 5, 9, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 9, 4, 10, 4, 9, 5, 10, 5],[8, 0, 9, 0, 1, 1, 2, 1, 3, 1, 8, 1, 9, 1, 0, 2, 3, 2, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 7, 0, 6, 1, 8, 1, 5, 2, 4, 3, 5, 3, 7, 3, 5, 4],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 3, 2, 1, 4, 2, 4],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 3, 3, 3, 8, 4, 9, 4, 8, 5, 9, 5],[6, 0, 5, 1, 7, 1, 6, 2, 7, 2, 0, 3, 1, 3, 1, 4, 3, 4, 3, 5, 4, 5],[7, 0, 7, 1, 8, 1, 0, 2, 1, 2, 9, 2, 1, 3, 2, 3, 8, 3, 9, 3, 8, 4],[3, 0, 5, 0, 3, 1, 6, 1, 3, 2, 5, 2, 0, 4, 1, 4, 2, 4],[8, 0, 9, 0, 8, 1, 9, 1, 0, 3, 2, 3, 0, 4, 2, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 3, 1, 6, 1, 7, 1, 1, 2, 3, 2, 2, 3],[0, 0, 1, 0, 0, 1, 1, 1, 9, 1, 7, 2, 8, 2, 9, 2, 8, 3],[7, 0, 8, 0, 6, 1, 9, 1, 0, 2, 1, 2, 9, 2, 0, 3, 1, 3, 9, 3, 8, 4],[3, 0, 4, 0, 1, 1, 3, 1, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 2, 3, 3, 3, 4, 3],[7, 0, 0, 1, 1, 1, 7, 1, 0, 2, 1, 2, 4, 2, 7, 2, 5, 3, 6, 3],[5, 0, 4, 1, 6, 1, 0, 2, 1, 2, 4, 2, 6, 2, 1, 3, 2, 3, 5, 3],[2, 0, 1, 1, 3, 1, 0, 2, 7, 2, 1, 3, 8, 3, 2, 4, 4, 4, 5, 4, 7, 4, 3, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 9, 5, 10, 5, 9, 6, 10, 6],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 3, 3, 4, 4, 4],[0, 0, 1, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2],[1, 0, 3, 0, 0, 1, 3, 1, 4, 1, 1, 2, 3, 2, 2, 3, 4, 3],[7, 0, 6, 1, 7, 1, 8, 1, 1, 2, 0, 3, 2, 3, 1, 4, 2, 4],[0, 0, 1, 0, 3, 0, 4, 0, 1, 1, 5, 1, 6, 2, 3, 3, 5, 3],[6, 0, 7, 0, 6, 1, 7, 1, 1, 5, 1, 6, 2, 6, 0, 7, 1, 7],[5, 0, 6, 0, 5, 1, 6, 1, 0, 2, 1, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 6, 1, 2, 2, 5, 2, 2, 3, 5, 3],[6, 0, 5, 1, 6, 1, 7, 1, 0, 3, 1, 3, 0, 4, 2, 4, 1, 5],[5, 0, 5, 1, 6, 1, 7, 2, 0, 3, 5, 3, 6, 3, 0, 4, 5, 4, 0, 5],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 4, 3],[4, 0, 5, 0, 0, 1, 3, 1, 6, 1, 1, 2, 6, 2, 1, 3, 6, 3, 3, 4, 4, 4],[0, 0, 5, 0, 0, 1, 3, 1, 5, 1, 6, 1, 0, 2, 5, 2],[2, 0, 2, 1, 1, 2, 3, 2, 2, 3, 0, 4, 2, 4, 10, 8, 11, 8, 10, 9, 11, 9],[1, 0, 0, 1, 2, 1, 1, 2, 4, 2, 1, 3, 4, 3, 2, 4, 4, 4],[1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 4, 4, 5, 4, 4, 5, 5, 5],[7, 0, 8, 0, 7, 1, 8, 1, 1, 2, 0, 3, 1, 3, 1, 4, 2, 4],[2, 0, 4, 0, 1, 1, 2, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3],[0, 0, 1, 0, 0, 1, 1, 1, 4, 4, 5, 4, 6, 4, 4, 5, 4, 6, 5, 6, 6, 6],[2, 0, 1, 1, 3, 1, 0, 2, 2, 3, 5, 3, 3, 4, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 6, 2, 7, 2, 8, 2, 7, 3],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 2, 4, 3, 7, 3, 4, 4, 7, 4, 5, 5, 7, 5],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 6, 3],[6, 0, 7, 0, 8, 0, 6, 2, 9, 2, 7, 3, 8, 3, 9, 3, 0, 5, 1, 5, 0, 6, 1, 6],[5, 0, 4, 1, 8, 1, 4, 2, 8, 2, 0, 3, 6, 3, 8, 3, 0, 4, 1, 4, 1, 5],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 5, 1, 0, 2, 2, 2, 1, 3],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 7, 2, 8, 2, 7, 3, 8, 3],[1, 0, 4, 0, 0, 1, 5, 1, 2, 2, 5, 2, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 2, 0, 2, 1, 4, 2, 6, 2, 4, 3, 5, 3],[3, 0, 7, 0, 1, 1, 8, 1, 0, 2, 7, 2, 8, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[3, 0, 4, 0, 5, 0, 2, 1, 6, 1, 5, 2, 6, 2, 0, 4, 3, 4, 0, 5, 1, 5],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3],[0, 0, 0, 1, 2, 1, 0, 2, 2, 3, 4, 3, 5, 3, 2, 4, 4, 4, 3, 5],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 5, 8, 5, 9, 5, 9, 6, 7, 7, 8, 7, 9, 7],[6, 0, 8, 0, 6, 1, 8, 1, 6, 2, 7, 2, 8, 2, 0, 3, 1, 3, 0, 4, 1, 4],[1, 0, 2, 0, 7, 0, 0, 1, 3, 1, 5, 1, 6, 1, 1, 2, 3, 2, 2, 3],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 1, 1, 6, 1, 7, 1, 0, 2],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 5, 3, 3, 4, 4, 4, 5, 4, 4, 5],[3, 0, 4, 0, 1, 1, 3, 1, 0, 2, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 3, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 0, 4, 2, 4],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 5],[6, 0, 6, 1, 6, 2, 0, 4, 1, 4, 0, 5, 1, 5, 3, 5, 1, 6, 2, 6, 3, 6],[2, 0, 3, 0, 7, 0, 1, 1, 2, 1, 7, 1, 0, 2, 7, 2, 1, 3, 2, 3, 2, 4],[2, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 3, 3],[6, 0, 7, 0, 6, 1, 7, 1, 0, 2, 1, 2, 1, 3, 3, 3, 2, 4, 3, 4],[6, 0, 8, 0, 1, 1, 5, 1, 8, 1, 0, 2, 2, 2, 6, 2, 8, 2, 0, 3, 1, 3],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 3, 2, 3, 10, 3, 11, 3, 10, 4, 11, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 3, 2, 0, 3, 1, 3, 2, 3],[7, 0, 8, 0, 9, 0, 7, 1, 9, 1, 0, 2, 1, 2, 7, 2, 9, 2, 0, 3, 1, 3],[7, 0, 8, 0, 9, 0, 7, 1, 9, 1, 7, 2, 9, 2, 0, 3, 1, 3, 0, 4, 1, 4],[6, 0, 6, 1, 6, 2, 0, 3, 1, 3, 5, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[8, 0, 9, 0, 7, 1, 10, 1, 8, 2, 9, 2, 10, 2, 0, 4, 1, 4, 2, 4],[1, 0, 0, 1, 1, 1, 3, 1, 2, 2, 4, 2, 5, 2, 3, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 4, 3, 5, 3, 5, 4],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 2, 2, 3],[1, 0, 0, 1, 2, 1, 3, 2, 2, 3, 3, 3, 4, 3, 3, 4],[4, 0, 5, 0, 6, 0, 4, 1, 6, 1, 4, 2, 6, 2, 0, 4, 1, 4, 2, 4],[8, 0, 7, 1, 9, 1, 7, 2, 9, 2, 10, 2, 8, 3, 9, 3, 0, 4, 1, 4, 2, 4],[1, 0, 6, 0, 7, 0, 0, 1, 1, 1, 7, 1, 8, 1, 0, 2, 6, 2, 7, 2],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 2, 2, 8, 2, 1, 3, 6, 3, 8, 3, 8, 4],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 0, 4, 1, 4],[4, 0, 2, 1, 3, 1, 5, 1, 5, 2, 0, 3, 4, 3, 0, 4, 2, 4, 3, 4],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 7, 1, 2, 2, 7, 2, 8, 2, 8, 3, 9, 3],[5, 0, 5, 1, 6, 1, 0, 2, 2, 2, 6, 2, 0, 3, 3, 3, 0, 4, 2, 4],[1, 0, 2, 0, 0, 1, 3, 1, 8, 1, 9, 1, 0, 2, 8, 2, 9, 2, 0, 3, 1, 4],[1, 0, 2, 0, 0, 1, 1, 1, 7, 1, 8, 1, 1, 2, 2, 2, 6, 2, 7, 2],[4, 0, 6, 0, 3, 1, 6, 1, 3, 2, 6, 2, 0, 3, 4, 3, 5, 3, 0, 4, 0, 5],[3, 0, 3, 1, 5, 1, 6, 2, 5, 3, 0, 4, 1, 4, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 5, 1, 2, 2, 4, 2, 6, 2, 3, 3, 5, 3],[2, 0, 1, 1, 3, 1, 0, 2, 5, 2, 1, 3, 4, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 3, 0, 0, 1, 3, 1, 6, 1, 7, 1, 1, 2, 3, 2, 5, 2, 8, 2, 6, 3, 7, 3],[0, 0, 2, 0, 8, 0, 9, 0, 0, 1, 2, 1, 8, 1, 9, 1, 0, 2, 1, 2, 2, 2],[2, 0, 0, 1, 1, 1, 2, 2, 4, 2, 5, 2, 5, 3],[3, 0, 4, 0, 5, 0, 0, 1, 0, 2, 1, 2, 0, 3],[0, 0, 1, 0, 2, 0, 4, 0, 1, 1, 5, 1, 2, 2, 4, 2, 3, 3],[0, 0, 0, 1, 4, 1, 0, 2, 4, 2, 5, 2, 4, 3],[3, 0, 4, 0, 5, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 5, 3, 7, 3, 7, 4, 5, 5, 6, 5, 7, 5],[8, 0, 1, 1, 7, 1, 8, 1, 0, 2, 2, 2, 8, 2, 0, 3, 2, 3, 6, 3, 7, 3, 1, 4],[5, 0, 7, 0, 6, 1, 7, 1, 7, 2, 0, 3, 1, 3, 0, 4, 1, 4],[6, 0, 7, 0, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 2, 3, 0, 4, 1, 4, 2, 4],[9, 0, 10, 0, 11, 0, 0, 1, 1, 1, 11, 1, 0, 2, 1, 2, 9, 2, 10, 2, 11, 2],[1, 0, 2, 0, 0, 1, 3, 1, 5, 2, 6, 2, 1, 3, 2, 3, 4, 3, 5, 3],[1, 0, 2, 0, 0, 1, 1, 1, 4, 2, 5, 2, 4, 3, 5, 3, 6, 3],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 1, 3, 4, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 2, 3, 4, 3, 3, 4],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 6, 2, 7, 2, 8, 2, 1, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 2, 2, 6, 4, 7, 4, 8, 4, 6, 5, 7, 5, 8, 5],[7, 0, 6, 1, 7, 1, 8, 1, 8, 2, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 4, 3, 1, 4],[2, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 0, 4, 2, 4, 1, 5, 2, 5],[7, 0, 7, 1, 8, 1, 8, 2, 9, 2, 0, 3, 9, 3, 0, 4, 1, 4],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 4, 2, 0, 3, 4, 3, 1, 4],[2, 0, 3, 0, 1, 1, 4, 1, 1, 2, 0, 3, 2, 3, 3, 3, 0, 4, 1, 4],[6, 0, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 7, 2, 8, 2, 7, 3],[2, 0, 3, 0, 4, 0, 2, 1, 3, 1, 1, 2, 0, 3, 1, 3, 2, 3],[8, 0, 10, 0, 0, 1, 1, 1, 2, 1, 8, 1, 11, 1, 11, 2, 11, 3],[0, 0, 2, 0, 3, 0, 4, 0, 3, 1, 5, 1, 2, 2, 5, 2, 4, 3, 5, 3],[1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 3, 7, 3, 6, 4, 7, 4],[8, 0, 9, 0, 7, 1, 10, 1, 8, 2, 9, 2, 3, 4, 1, 5, 4, 5, 5, 5, 0, 6, 1, 6],[3, 0, 4, 1, 3, 2, 4, 2, 1, 3, 0, 4, 1, 4, 2, 4],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 5, 3, 0, 4, 1, 4],[3, 0, 4, 0, 5, 0, 0, 2, 1, 2, 2, 2, 0, 3, 2, 3, 2, 4],[1, 0, 0, 1, 0, 2, 0, 3, 3, 3, 8, 3, 9, 3, 1, 4, 2, 4, 8, 4, 9, 4],[0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 4, 2, 2, 3, 5, 3, 3, 4, 4, 4, 5, 4],[4, 0, 0, 1, 4, 1, 5, 1, 6, 1, 0, 2, 1, 2, 1, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 1, 3, 4, 3, 2, 4, 3, 4],[3, 0, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 0, 4, 1, 4, 4, 4, 5, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 3, 7, 6, 8, 6, 7, 7, 8, 7],[0, 0, 1, 1, 2, 1, 4, 2, 5, 2, 2, 3, 4, 3, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 6, 2, 5, 3, 6, 3, 7, 3],[5, 0, 2, 1, 6, 1, 1, 2, 2, 2, 6, 2, 0, 3, 5, 3, 1, 4, 2, 4, 3, 4],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 4, 4, 5, 4],[0, 0, 2, 0, 0, 1, 4, 1, 4, 2, 5, 2, 2, 3, 4, 3, 5, 3, 6, 3],[5, 0, 5, 1, 6, 1, 0, 3, 1, 3, 1, 4, 3, 4, 2, 5, 3, 5],[5, 0, 6, 0, 4, 1, 7, 1, 0, 2, 1, 2, 7, 2, 0, 3, 1, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 8, 0, 9, 0, 10, 0, 0, 1, 3, 1, 1, 2, 2, 2],[3, 0, 5, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 0, 3, 4, 3, 1, 4, 3, 4, 2, 5],[0, 0, 0, 1, 2, 2, 3, 2, 4, 2, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5],[4, 0, 2, 1, 4, 1, 4, 2, 3, 3, 0, 4, 1, 4, 2, 4],[1, 0, 2, 0, 3, 0, 5, 1, 3, 2, 6, 2, 0, 3, 3, 3, 5, 3, 0, 4, 1, 4, 2, 4],[9, 0, 0, 1, 1, 1, 7, 1, 8, 1, 9, 1, 0, 2, 1, 2, 8, 2],[0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[8, 0, 9, 0, 8, 1, 9, 1, 0, 2, 1, 2, 0, 3, 3, 3, 0, 4, 3, 4, 1, 5, 3, 5],[4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3, 1, 4],[5, 0, 6, 0, 0, 1, 3, 1, 4, 1, 6, 1, 1, 2, 2, 2, 6, 2, 5, 3, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 3, 2, 1, 3, 4, 3, 2, 4, 3, 4],[1, 0, 0, 1, 2, 1, 5, 1, 0, 2, 3, 2, 4, 2, 1, 3, 5, 3],[0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 4, 3, 3, 4],[1, 0, 2, 0, 5, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 2, 5, 3, 6, 3, 5, 4],[0, 0, 0, 1, 2, 1, 4, 1, 4, 2, 2, 3, 3, 3, 4, 3],[4, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 2, 5, 2, 1, 3],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 3, 2, 4, 2, 1, 3, 3, 3],[3, 0, 4, 0, 5, 0, 0, 2, 1, 2, 1, 3, 3, 3, 4, 3, 2, 4],[1, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 8, 1, 0, 2, 3, 2, 6, 2, 8, 2, 1, 3, 2, 3, 8, 3],[2, 0, 1, 1, 2, 1, 0, 2, 3, 2, 7, 2, 0, 3, 1, 3, 8, 3, 8, 4, 7, 5],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 2, 2],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 7, 2, 8, 2, 9, 2, 9, 3],[1, 0, 2, 0, 0, 1, 1, 1, 8, 1, 9, 1, 1, 2, 8, 2, 9, 2],[1, 0, 2, 0, 3, 0, 3, 1, 0, 2, 4, 3, 5, 3, 1, 4, 2, 4, 4, 4, 5, 4, 3, 5],[7, 0, 1, 1, 2, 1, 5, 1, 6, 1, 8, 1, 9, 1, 0, 2, 1, 2, 7, 2, 0, 3],[8, 0, 9, 0, 8, 1, 9, 1, 0, 4, 2, 4, 0, 5, 3, 5, 0, 6, 3, 6, 2, 7, 3, 7],[0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 3, 4, 4, 5, 4, 3, 5],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 4, 3, 2, 4, 5, 4, 2, 5, 4, 5],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 7, 5, 8, 5, 7, 6, 8, 6],[1, 0, 2, 0, 3, 0, 4, 1, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 2, 5, 6, 5, 3, 6, 4, 6, 5, 6],[1, 0, 2, 0, 1, 1, 2, 1, 1, 3, 0, 4, 2, 4, 5, 5, 6, 5, 5, 6],[4, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 4, 2, 5, 2],[2, 0, 0, 1, 4, 1, 0, 2, 1, 2, 4, 2, 1, 3, 4, 3],[0, 0, 1, 0, 7, 0, 0, 1, 1, 1, 5, 1, 7, 1, 4, 2, 6, 2, 7, 2],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 6, 3, 5, 4, 6, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 2, 3, 3, 3, 4, 3],[10, 0, 11, 0, 0, 1, 1, 1, 2, 1, 10, 1, 11, 1, 0, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 3, 1, 3, 4, 4, 5, 4, 6, 4],[5, 0, 6, 0, 7, 0, 0, 1, 1, 1, 3, 1, 7, 1, 1, 2, 6, 2, 5, 3],[0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 3, 2, 2, 3, 3, 3],[4, 0, 5, 0, 5, 1, 6, 1, 1, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 6, 3, 7, 3, 5, 5, 8, 5, 6, 6, 7, 6, 8, 6],[6, 0, 5, 1, 6, 1, 7, 1, 7, 2, 0, 6, 1, 6, 0, 7, 1, 7],[9, 0, 7, 1, 8, 1, 9, 1, 8, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 3, 0, 0, 1, 3, 1, 1, 2, 5, 2, 3, 3, 5, 3, 3, 4, 4, 4, 5, 4],[5, 0, 6, 0, 1, 1, 2, 1, 5, 1, 6, 1, 3, 2, 0, 3, 2, 3, 1, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 4, 3],[4, 0, 5, 0, 2, 1, 3, 1, 6, 1, 1, 2, 2, 2, 5, 2, 4, 3, 0, 4, 3, 4, 1, 5],[0, 0, 0, 1, 1, 2, 4, 2, 2, 3, 4, 3, 5, 3, 3, 4, 4, 4],[7, 0, 8, 0, 7, 1, 8, 1, 1, 3, 3, 3, 0, 4, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 8, 2, 9, 2, 8, 3, 9, 3],[5, 0, 6, 0, 7, 0, 7, 1, 5, 2, 6, 2, 7, 2, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 8, 4, 8, 5, 8, 6],[3, 0, 1, 1, 5, 1, 1, 2, 6, 2, 0, 3, 6, 3, 1, 4, 6, 4, 1, 5, 5, 5, 3, 6],[1, 0, 0, 1, 2, 1, 0, 2, 3, 2, 4, 2, 4, 3, 4, 4],[3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 1, 3, 1, 4, 2, 4, 4, 4, 5, 4, 3, 5],[8, 0, 10, 0, 7, 1, 10, 1, 7, 2, 10, 2, 0, 3, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4],[1, 0, 2, 0, 4, 0, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3],[7, 0, 9, 0, 0, 1, 1, 1, 7, 1, 9, 1, 0, 2, 1, 2, 7, 2, 8, 2, 9, 2],[9, 0, 7, 1, 8, 1, 9, 1, 8, 2, 0, 3, 1, 3, 0, 4, 1, 4],[0, 0, 0, 1, 6, 1, 7, 1, 0, 2, 7, 2, 8, 2, 6, 3, 7, 3],[8, 0, 9, 0, 8, 1, 9, 1, 0, 4, 1, 4, 2, 4, 0, 5, 3, 5, 1, 7, 2, 7, 3, 7],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3, 8, 3, 9, 3, 8, 4, 9, 4],[1, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 1, 4, 5, 4, 3, 5],[4, 0, 6, 0, 5, 1, 6, 1, 6, 2, 0, 5, 1, 5, 0, 6, 1, 6],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 7, 2, 8, 2, 0, 7, 1, 7, 0, 8, 1, 8],[4, 0, 5, 0, 3, 1, 5, 1, 0, 2, 1, 2, 6, 2, 1, 3, 3, 3, 2, 4, 3, 4],[10, 0, 11, 0, 10, 1, 11, 1, 0, 6, 1, 6, 4, 6, 0, 7, 2, 7, 4, 7, 1, 8],[0, 0, 0, 1, 1, 1, 3, 1, 2, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 7, 5, 8, 5, 6, 6, 7, 6],[7, 0, 6, 1, 8, 1, 1, 2, 6, 2, 9, 2, 0, 3, 1, 3, 7, 3, 8, 3, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 11, 1, 11, 2, 11, 3, 11, 5, 12, 5, 11, 6, 12, 6],[5, 0, 5, 1, 6, 1, 6, 2, 1, 3, 2, 3, 0, 4, 1, 4, 1, 5, 2, 5],[5, 0, 6, 0, 1, 1, 2, 1, 5, 1, 6, 1, 0, 2, 2, 2, 0, 3, 2, 3, 0, 4, 1, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 1, 3, 2, 3, 3, 3, 4, 3],[3, 0, 4, 0, 5, 0, 4, 1, 0, 3, 1, 3, 2, 3],[7, 0, 8, 0, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4, 5, 4, 7, 4, 1, 6, 2, 6, 2, 7],[1, 0, 0, 1, 3, 1, 1, 2, 5, 2, 1, 3, 5, 3, 4, 4, 5, 4],[7, 0, 8, 0, 0, 1, 1, 1, 7, 1, 8, 1, 1, 2, 2, 2, 1, 3],[8, 0, 9, 0, 8, 1, 9, 1, 0, 2, 0, 3, 1, 3, 2, 3, 1, 4],[5, 0, 6, 0, 5, 1, 7, 1, 9, 1, 0, 2, 1, 2, 7, 2, 8, 2, 0, 3, 1, 3],[3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[5, 0, 1, 1, 5, 1, 0, 2, 1, 2, 2, 2, 5, 2],[2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 4, 6, 4, 7, 4, 5, 5, 7, 5, 5, 6, 7, 6],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 4, 2, 2, 3, 3, 3],[1, 0, 2, 0, 5, 0, 6, 0, 0, 1, 3, 1, 6, 1, 7, 1, 1, 2, 2, 2, 7, 2],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 3, 1, 3, 7, 5, 8, 5, 9, 5],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 4, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4],[1, 0, 2, 0, 9, 0, 0, 1, 1, 1, 8, 1, 10, 1, 1, 2, 2, 2, 5, 2, 9, 2, 10, 2],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 6, 3, 7, 3, 7, 4, 8, 4],[5, 0, 6, 0, 1, 1, 4, 1, 7, 1, 0, 2, 2, 2, 5, 2, 6, 2, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 2, 3, 5, 3],[2, 0, 4, 0, 2, 1, 5, 1, 1, 2, 4, 2, 0, 3, 2, 3, 0, 4, 1, 4],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 3, 3, 4, 3, 5, 3],[5, 0, 2, 1, 3, 1, 5, 1, 1, 2, 5, 2, 0, 3, 1, 4, 3, 4, 2, 5],[1, 0, 2, 0, 6, 0, 0, 1, 3, 1, 4, 1, 7, 1, 1, 2, 2, 2, 6, 2],[8, 0, 0, 1, 7, 1, 9, 1, 0, 2, 1, 2, 6, 2, 7, 2, 9, 2, 0, 3, 8, 3],[3, 0, 4, 0, 1, 1, 2, 1, 6, 1, 0, 3, 4, 3, 6, 3, 1, 4, 2, 4, 3, 4, 5, 4],[0, 0, 1, 0, 2, 0, 1, 1, 4, 1, 5, 2, 2, 3, 4, 3],[6, 0, 5, 1, 7, 1, 0, 2, 3, 2, 5, 2, 7, 2, 1, 3, 2, 3, 6, 3],[0, 0, 1, 0, 2, 0, 3, 3, 5, 3, 3, 4, 6, 4, 3, 5, 4, 5],[4, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 1, 3, 2, 3, 3, 3],[0, 0, 9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 0, 2, 9, 2],[2, 0, 3, 0, 1, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 3, 2, 9, 3, 10, 3, 8, 4, 11, 4, 9, 5, 10, 5],[4, 0, 1, 1, 5, 1, 1, 2, 2, 2, 6, 2, 0, 3, 5, 3, 1, 4, 1, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 3, 2, 3, 7, 3, 8, 3, 7, 4, 8, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 5, 2, 1, 3, 5, 3, 1, 4, 2, 4, 5, 4],[2, 0, 3, 0, 4, 0, 1, 1, 2, 2, 3, 2, 0, 3, 2, 3],[7, 0, 7, 1, 8, 1, 6, 2, 0, 3, 1, 3, 2, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 1, 5, 1, 0, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4],[1, 0, 0, 1, 2, 1, 3, 1, 5, 1, 0, 2, 5, 2, 6, 2, 1, 3],[5, 0, 4, 1, 5, 1, 6, 1, 4, 2, 6, 2, 0, 5, 1, 5, 2, 5],[2, 0, 1, 1, 2, 1, 0, 2, 6, 3, 7, 3, 4, 4, 7, 4, 4, 5, 7, 5, 4, 6, 6, 6],[0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 3, 4, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 1, 1, 5, 1, 6, 1, 7, 1, 5, 2, 7, 2, 5, 3, 6, 3],[4, 0, 5, 0, 4, 1, 0, 2, 1, 2, 2, 2, 3, 2, 0, 3, 1, 3, 2, 3, 1, 4],[2, 0, 2, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 3, 3, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 9, 3, 7, 4, 9, 4, 7, 5, 8, 5, 9, 5],[3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 5, 2, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 3, 2, 4, 3],[0, 0, 3, 0, 0, 1, 3, 1, 0, 2, 5, 2, 3, 3, 4, 3, 5, 3, 4, 4],[6, 0, 7, 0, 6, 1, 7, 1, 0, 3, 1, 3, 2, 3, 2, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 2, 4, 2, 4, 3],[8, 0, 6, 1, 7, 1, 8, 1, 7, 2, 1, 6, 1, 7, 2, 7, 0, 8, 1, 8],[1, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3],[4, 0, 5, 1, 1, 2, 2, 2, 6, 2, 0, 3, 5, 3, 1, 4, 4, 4, 1, 5, 4, 5],[1, 0, 2, 0, 3, 0, 0, 1, 6, 1, 7, 1, 8, 1, 1, 2, 2, 2, 3, 2, 6, 2],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 5, 1, 1, 2, 2, 2, 4, 2, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3],[2, 0, 0, 1, 1, 1, 7, 1, 2, 2, 7, 2, 8, 2, 7, 3],[3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 2, 0, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 7, 2, 8, 2, 9, 2, 7, 3],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 9, 4, 7, 5, 9, 5, 7, 6, 8, 6, 9, 6],[8, 0, 9, 0, 7, 1, 8, 1, 8, 2, 10, 2, 9, 3, 10, 3, 0, 5, 1, 5, 0, 6, 1, 6],[4, 0, 5, 0, 1, 1, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[0, 0, 1, 0, 4, 0, 0, 1, 6, 1, 7, 1, 0, 2, 4, 2, 7, 2, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[1, 0, 3, 0, 12, 0, 13, 0, 0, 1, 3, 1, 12, 1, 13, 1, 0, 2, 3, 2, 1, 3, 2, 3],[1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 3, 7, 4, 8, 4, 9, 4],[0, 0, 1, 0, 1, 1, 7, 2, 8, 2, 5, 3, 8, 3, 5, 4, 6, 4, 7, 4, 6, 5],[9, 0, 7, 1, 8, 1, 9, 1, 8, 2, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 1, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3],[6, 0, 6, 1, 7, 1, 0, 2, 8, 2, 0, 3, 6, 3, 7, 3, 0, 4, 6, 4],[1, 0, 3, 0, 0, 1, 3, 1, 1, 2, 4, 2, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4],[9, 0, 10, 0, 11, 0, 11, 1, 9, 2, 10, 2, 11, 2, 0, 3, 1, 3, 0, 4, 1, 4],[1, 0, 2, 0, 3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 4, 3],[0, 0, 1, 0, 2, 0, 7, 0, 8, 0, 1, 1, 7, 1, 8, 1, 0, 2],[0, 0, 2, 0, 0, 1, 1, 1, 7, 1, 8, 1, 0, 2, 7, 2, 8, 2],[2, 0, 3, 0, 1, 1, 3, 1, 4, 1, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 6, 3, 7, 3, 8, 3, 6, 4],[14, 0, 14, 1, 0, 5, 1, 5, 0, 6, 1, 6, 8, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 0, 2, 6, 2, 1, 3, 2, 4, 4, 4, 5, 4, 3, 5],[1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 5, 1, 1, 2, 4, 2],[7, 0, 6, 1, 8, 1, 6, 2, 8, 2, 7, 3, 8, 3, 0, 7, 1, 7, 2, 7],[3, 0, 4, 0, 1, 1, 2, 1, 4, 1, 5, 1, 1, 2, 2, 2, 0, 3, 1, 3],[3, 0, 2, 1, 3, 1, 4, 2, 2, 3, 0, 4, 2, 4, 0, 5, 9, 6, 10, 6, 9, 7, 10, 7],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 2, 3, 4, 3, 1, 4],[1, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 5, 3],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 7, 4, 8, 4, 7, 5, 8, 5],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 4, 4, 4, 5, 4],[3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 3, 2, 0, 3, 4, 3, 2, 4],[0, 0, 2, 0, 4, 0, 0, 1, 5, 1, 0, 2, 1, 2, 4, 2],[2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 2, 1, 3, 2, 3, 3, 3, 2, 4],[4, 0, 5, 0, 6, 0, 2, 1, 1, 2, 3, 2, 0, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[7, 0, 6, 1, 7, 1, 0, 2, 3, 2, 6, 2, 0, 3, 2, 3, 1, 4, 2, 4],[3, 0, 4, 0, 1, 1, 5, 1, 4, 2, 0, 3, 1, 3, 3, 3, 0, 4],[4, 0, 4, 1, 5, 1, 6, 2, 0, 3, 1, 3, 5, 3, 1, 4, 5, 4],[0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 7, 2, 8, 2, 7, 3, 8, 3],[3, 0, 4, 0, 5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 3, 4],[6, 0, 7, 0, 5, 1, 8, 1, 8, 2, 0, 3, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 3, 2, 1, 3, 5, 3, 2, 4, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 5, 1, 4, 2, 5, 2, 5, 3],[0, 0, 2, 0, 7, 0, 8, 0, 0, 1, 3, 1, 6, 1, 9, 1, 0, 2, 1, 2, 7, 2, 8, 2],[5, 0, 6, 0, 1, 1, 3, 1, 6, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4],[4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 2, 2, 5, 2, 4, 3, 4, 4],[7, 0, 8, 0, 7, 1, 10, 1, 7, 2, 10, 2, 8, 3, 10, 3, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 5, 2, 3, 3, 4, 3, 5, 3, 4, 4],[6, 0, 6, 1, 7, 1, 8, 2, 0, 3, 6, 3, 7, 3, 0, 4, 6, 4, 0, 5],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 0, 2, 4, 2, 5, 2, 1, 3, 4, 3, 2, 4],[11, 0, 1, 1, 2, 1, 11, 1, 13, 1, 0, 2, 2, 2, 11, 2, 12, 2, 13, 2, 1, 3, 13, 3],[6, 0, 7, 0, 8, 0, 1, 1, 8, 1, 0, 2, 2, 2, 6, 2, 0, 3, 2, 3, 7, 3, 1, 4],[1, 0, 2, 0, 8, 0, 9, 0, 0, 1, 2, 1, 8, 1, 9, 1, 0, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 2, 2, 6, 4, 6, 5, 7, 5],[4, 0, 2, 1, 3, 1, 5, 1, 1, 2, 0, 3, 2, 3, 3, 3, 0, 4, 2, 4],[0, 0, 5, 0, 0, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 1, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 2, 2, 3, 2, 4, 2, 3, 3],[1, 0, 5, 0, 6, 0, 0, 1, 1, 1, 2, 1, 4, 2, 5, 2, 6, 2],[2, 0, 1, 1, 2, 1, 10, 2, 0, 3, 1, 3, 10, 3, 0, 4, 10, 4],[0, 0, 0, 1, 1, 1, 3, 1, 4, 2, 1, 3, 5, 3, 4, 4],[6, 0, 1, 1, 6, 1, 0, 2, 1, 2, 5, 2, 6, 2, 0, 3, 2, 3, 1, 4],[1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 3, 4, 1, 5, 2, 5, 4, 5, 5, 5],[2, 0, 1, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 4, 4, 1, 5, 4, 5],[2, 0, 5, 0, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 2, 3, 1, 4],[3, 0, 4, 0, 3, 1, 4, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 4, 4],[0, 0, 1, 0, 2, 0, 6, 1, 7, 1, 7, 2, 8, 2, 6, 3, 7, 3],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 2, 4, 5, 4, 4, 5],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[4, 0, 5, 0, 6, 0, 4, 1, 6, 1, 4, 2, 6, 2, 0, 5, 1, 5, 2, 5],[3, 0, 5, 0, 2, 1, 3, 1, 6, 1, 3, 2, 6, 2, 0, 3, 4, 3, 5, 3, 6, 3],[2, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 3, 3],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 2, 0, 4, 1, 4, 6, 5, 4, 6, 5, 6, 6, 6],[0, 0, 4, 0, 1, 1, 4, 1, 5, 1, 0, 2, 2, 2, 6, 2, 4, 3, 5, 3, 4, 4],[3, 0, 4, 0, 2, 1, 5, 1, 0, 2, 4, 2, 0, 3, 3, 3, 4, 3, 0, 4, 1, 4],[2, 0, 1, 1, 3, 1, 0, 2, 3, 3, 1, 4, 2, 4, 3, 4, 5, 4, 6, 4, 4, 5],[4, 0, 3, 1, 5, 1, 0, 3, 2, 3, 3, 3, 0, 4, 1, 4, 2, 4, 0, 5],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 4, 2, 4],[4, 0, 5, 0, 6, 0, 6, 1, 4, 2, 5, 2, 6, 2, 0, 3, 0, 4, 0, 5],[6, 0, 7, 0, 1, 1, 2, 1, 8, 1, 0, 2, 3, 2, 7, 2, 8, 2, 1, 3, 2, 3, 8, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 7, 2, 7, 3, 8, 3, 6, 4, 7, 4, 6, 5],[1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 10, 2, 9, 3, 12, 3, 9, 4, 12, 4, 10, 5, 12, 5],[4, 0, 5, 0, 2, 1, 6, 1, 0, 2, 1, 2, 7, 2, 2, 3, 4, 3, 6, 3, 4, 4, 5, 4],[1, 0, 0, 1, 0, 2, 5, 2, 1, 3, 5, 3, 6, 4, 4, 5, 5, 5, 4, 6],[4, 0, 5, 0, 5, 1, 6, 1, 0, 4, 2, 4, 0, 5, 1, 5, 2, 5, 1, 6],[0, 0, 0, 1, 1, 1, 2, 2, 4, 2, 5, 2, 2, 3, 4, 3, 3, 4],[2, 0, 8, 0, 9, 0, 1, 1, 8, 1, 9, 1, 0, 2, 1, 3, 3, 3, 2, 4],[1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 7, 4, 8, 4, 7, 5, 8, 5],[6, 0, 7, 0, 6, 1, 7, 1, 0, 3, 1, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 4],[1, 0, 0, 1, 2, 1, 6, 1, 8, 1, 1, 2, 2, 2, 7, 2, 7, 3],[0, 0, 1, 0, 7, 0, 8, 0, 0, 1, 1, 1, 8, 1, 5, 2, 8, 2, 6, 3, 7, 3],[7, 0, 6, 1, 7, 1, 1, 2, 7, 2, 0, 3, 2, 3, 1, 4],[0, 0, 1, 0, 2, 0, 6, 0, 3, 1, 4, 1, 5, 1, 4, 2],[1, 0, 4, 0, 5, 0, 0, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[5, 0, 1, 1, 5, 1, 0, 2, 1, 2, 3, 2, 4, 2, 5, 2, 1, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 2, 2, 1, 3, 2, 3, 3, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 0, 3, 1, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 3, 2, 0, 3, 1, 3, 2, 3, 0, 4],[1, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4, 2, 4],[2, 0, 0, 1, 1, 1, 4, 1, 4, 2, 1, 3, 3, 3, 4, 3],[1, 0, 2, 0, 5, 0, 0, 1, 1, 1, 6, 1, 2, 2, 3, 2, 5, 2],[0, 0, 1, 0, 2, 0, 4, 0, 0, 1, 4, 1, 1, 2, 2, 2, 4, 2],[9, 0, 10, 0, 9, 1, 10, 1, 2, 2, 3, 2, 0, 3, 3, 3, 0, 4, 3, 4, 0, 5, 2, 5],[1, 0, 2, 0, 0, 1, 3, 1, 3, 3, 4, 3, 5, 3, 6, 3, 1, 4, 2, 4],[7, 0, 8, 0, 7, 1, 8, 1, 2, 2, 0, 3, 1, 3, 2, 3, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 9, 1, 10, 1, 7, 2, 10, 2, 7, 4, 8, 4, 9, 4],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4],[1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 5, 2, 1, 3, 5, 3, 4, 4, 5, 4],[6, 0, 8, 0, 7, 1, 8, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3],[5, 0, 6, 0, 4, 1, 7, 1, 5, 2, 6, 2, 1, 3, 3, 3, 0, 4, 3, 4, 1, 5, 3, 5],[2, 0, 2, 1, 3, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 5, 2, 1, 3, 3, 3, 5, 3, 2, 4],[0, 0, 1, 0, 2, 0, 6, 2, 7, 2, 8, 2, 8, 3, 6, 4, 7, 4, 8, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 9, 1, 10, 2, 7, 4, 8, 4, 9, 4],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 5, 1, 1, 2, 2, 2, 6, 2],[1, 0, 2, 0, 3, 2, 4, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4, 3, 4],[3, 0, 4, 0, 5, 0, 1, 1, 4, 1, 0, 2, 1, 2, 3, 2, 1, 3],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 5, 3, 5, 4, 3, 5],[0, 0, 1, 0, 2, 0, 0, 1, 8, 1, 0, 2, 1, 2, 2, 2, 8, 2, 8, 3],[1, 0, 2, 0, 3, 0, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 6, 2, 2, 3, 3, 3, 5, 3],[4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 5, 2, 2, 3, 4, 3, 1, 4, 2, 4, 3, 4, 2, 5],[2, 0, 3, 0, 4, 0, 0, 1, 2, 2, 5, 2, 2, 3, 3, 4, 2, 5],[1, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[0, 0, 1, 0, 0, 1, 2, 1, 6, 1, 1, 2, 5, 2, 7, 2, 5, 4, 6, 4, 7, 4],[0, 0, 7, 0, 8, 0, 9, 0, 0, 1, 0, 2, 7, 2, 10, 2, 8, 3, 9, 3],[6, 0, 7, 0, 0, 1, 5, 1, 8, 1, 0, 2, 1, 2, 5, 2, 8, 2, 0, 3, 6, 3, 7, 3],[1, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3, 1, 4],[2, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 0, 1, 1, 2, 4, 2, 2, 3, 4, 3, 5, 3, 3, 4],[8, 0, 9, 0, 10, 0, 0, 1, 1, 1, 0, 2, 1, 2, 7, 2, 8, 2, 9, 2],[0, 0, 4, 0, 0, 1, 4, 1, 1, 2, 5, 2, 3, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 2, 3],[0, 0, 1, 0, 2, 0, 7, 0, 8, 0, 2, 1, 7, 1, 8, 1, 0, 2, 1, 2, 2, 2],[1, 0, 2, 0, 3, 0, 0, 1, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3],[1, 0, 0, 1, 4, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4, 3, 4],[0, 0, 4, 0, 5, 0, 0, 1, 4, 1, 5, 1, 0, 2, 1, 2, 1, 3, 1, 4],[10, 0, 11, 0, 10, 1, 11, 1, 0, 3, 1, 3, 2, 3, 0, 4, 0, 5, 1, 5, 2, 5],[1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 2, 3, 1, 4, 2, 4, 8, 6, 9, 6, 10, 6],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 3, 2, 1, 3, 2, 3, 3, 3],[1, 0, 0, 1, 2, 1, 1, 3, 6, 6, 7, 6, 7, 7, 8, 7, 6, 8, 7, 8],[3, 0, 4, 0, 2, 1, 4, 1, 0, 2, 4, 2, 0, 3, 0, 4, 3, 4],[1, 0, 4, 0, 5, 0, 0, 1, 4, 1, 5, 1, 0, 2, 3, 2, 6, 2, 0, 3, 1, 3],[0, 0, 4, 0, 5, 0, 0, 1, 6, 1, 0, 2, 6, 2, 3, 3, 4, 3, 5, 3],[5, 0, 6, 0, 7, 0, 6, 1, 7, 2, 0, 5, 1, 5, 0, 6, 1, 6],[3, 0, 2, 1, 3, 1, 0, 3, 2, 3, 0, 4, 5, 4, 6, 4, 7, 4],[2, 0, 3, 0, 1, 1, 4, 1, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 2, 3, 3, 4, 3, 2, 4, 3, 4],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 5, 2, 4, 3, 0, 4, 3, 4, 1, 5, 2, 5, 3, 5],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 2, 2, 5, 4, 6, 4, 5, 5],[1, 0, 2, 0, 3, 0, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 4, 3],[6, 0, 7, 0, 6, 1, 9, 1, 6, 2, 9, 2, 7, 3, 9, 3, 0, 7, 1, 7, 0, 8, 1, 8],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 3, 2, 2, 3, 3, 3, 7, 3, 8, 3, 7, 4, 8, 4],[0, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 1, 2, 5, 2, 3, 3, 4, 3],[5, 0, 6, 0, 0, 1, 1, 1, 2, 1, 5, 1, 7, 1, 7, 2, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 8, 3, 9, 3, 8, 4, 9, 4],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 4, 3, 2, 4, 3, 4],[4, 0, 3, 1, 5, 1, 6, 2, 1, 3, 5, 3, 0, 4, 4, 4, 1, 5, 3, 5, 2, 6],[6, 0, 7, 0, 5, 1, 8, 1, 1, 2, 3, 2, 6, 2, 7, 2, 0, 3, 3, 3, 1, 4, 3, 4],[3, 0, 0, 1, 1, 1, 0, 2, 0, 3, 6, 3, 1, 4, 2, 4, 4, 4, 6, 4, 3, 5],[8, 0, 9, 0, 8, 1, 9, 1, 0, 5, 1, 5, 2, 5, 0, 6, 3, 6, 1, 8, 2, 8, 3, 8],[7, 0, 7, 1, 8, 1, 6, 2, 7, 2, 0, 5, 1, 5, 0, 6, 1, 6],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 10, 2, 11, 2, 0, 3, 2, 3, 10, 3, 11, 3],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 3, 1, 5, 1, 0, 2, 3, 2, 4, 2, 1, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 2, 3, 2, 4, 2, 4, 3],[2, 0, 1, 1, 3, 1, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[10, 0, 11, 0, 11, 1, 12, 1, 0, 2, 1, 2, 10, 2, 11, 2, 0, 3, 1, 3],[0, 0, 1, 0, 2, 0, 5, 0, 6, 0, 7, 0, 5, 1, 8, 1, 6, 2, 7, 2],[0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 5, 2, 6, 2, 4, 3, 7, 3, 5, 4, 6, 4],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4, 3, 4, 4, 4],[0, 0, 0, 1, 0, 2, 6, 3, 8, 3, 5, 4, 8, 4, 7, 5, 8, 5],[8, 0, 9, 1, 10, 1, 8, 2, 0, 3, 3, 3, 2, 4, 3, 4, 2, 5],[0, 0, 4, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 4, 2],[1, 0, 0, 1, 2, 1, 3, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3, 3, 4],[2, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 2, 1, 3, 4, 3],[0, 0, 0, 1, 4, 1, 5, 1, 0, 2, 3, 2, 6, 2, 6, 3, 6, 4],[0, 0, 1, 0, 2, 0, 9, 0, 10, 0, 11, 0, 0, 1, 2, 1, 0, 2, 3, 2, 1, 3, 2, 3],[1, 0, 0, 1, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 3],[7, 0, 8, 0, 6, 1, 8, 1, 6, 2, 8, 2, 7, 3, 1, 4, 2, 4, 0, 5, 1, 5, 6, 7],[8, 0, 9, 0, 10, 0, 0, 4, 2, 4, 0, 5, 2, 5, 0, 6, 1, 6, 2, 6],[7, 0, 8, 0, 6, 1, 7, 1, 7, 2, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 3, 0, 0, 1, 3, 1, 4, 1, 0, 2, 4, 2, 4, 3],[4, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 3, 2, 4, 2],[6, 0, 7, 0, 6, 1, 7, 1, 1, 3, 0, 4, 1, 4, 2, 4, 2, 5],[6, 0, 7, 0, 7, 1, 8, 1, 7, 2, 0, 6, 1, 6, 0, 7, 1, 7],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4, 4, 4, 5, 4],[3, 0, 4, 0, 5, 0, 0, 1, 6, 1, 0, 2, 5, 2, 0, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 1, 3, 3, 3, 4, 3, 1, 4, 2, 4],[1, 0, 4, 0, 5, 0, 0, 1, 1, 1, 8, 1, 1, 2, 4, 2, 7, 2, 8, 2, 8, 3],[7, 0, 7, 1, 8, 1, 6, 2, 8, 2, 7, 3, 0, 4, 0, 5, 0, 6],[19, 0, 17, 1, 18, 1, 19, 1, 0, 2, 1, 2, 17, 2, 19, 2, 0, 3, 1, 3, 17, 3],[1, 0, 4, 0, 0, 1, 5, 1, 0, 2, 6, 2, 0, 3, 6, 3, 1, 4, 6, 4, 2, 5, 5, 5],[1, 0, 2, 0, 3, 0, 2, 1, 4, 1, 2, 3, 5, 3, 2, 4, 4, 4, 0, 5, 1, 5],[7, 0, 9, 0, 7, 1, 9, 1, 0, 2, 1, 2, 7, 2, 8, 2, 9, 2, 0, 3, 1, 3],[0, 0, 0, 1, 3, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 3, 1, 4, 1, 0, 2, 0, 3, 1, 3, 2, 3],[0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 3, 2, 4, 2, 5, 2],[5, 0, 5, 1, 6, 1, 7, 1, 6, 2, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 1, 0, 0, 1, 4, 1, 2, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 0, 3],[1, 0, 2, 0, 7, 0, 8, 0, 0, 1, 3, 1, 7, 1, 8, 1, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 5, 1, 1, 2, 5, 2],[1, 0, 0, 1, 2, 1, 4, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 5, 2, 2, 3, 5, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 9, 0, 10, 0, 0, 1, 9, 1, 10, 1, 0, 2, 2, 2, 1, 3, 2, 3],[4, 0, 5, 0, 6, 0, 5, 1, 7, 1, 7, 2, 1, 3, 2, 3, 0, 4, 3, 4, 1, 5, 2, 5],[0, 0, 1, 0, 0, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4, 6, 4, 4, 5],[6, 0, 7, 0, 8, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 3, 1, 4],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 5, 1, 6, 1, 7, 1, 2, 2],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 7, 3, 7, 4, 8, 4, 7, 5],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 9, 2, 10, 2, 0, 3, 1, 3, 2, 3, 9, 3, 10, 3],[0, 0, 2, 0, 1, 1, 1, 2, 6, 2, 7, 2, 5, 3, 8, 3, 6, 4, 8, 4, 7, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 5, 3, 4, 4],[0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 5, 3, 6, 3, 7, 3, 7, 4, 5, 5, 6, 5, 7, 5],[5, 0, 6, 0, 5, 1, 6, 1, 2, 2, 1, 3, 2, 3, 0, 4, 1, 4, 1, 5, 2, 5],[3, 0, 5, 0, 2, 1, 5, 1, 5, 2, 0, 3, 1, 3, 4, 3, 1, 4, 3, 4],[2, 0, 3, 0, 4, 0, 0, 2, 1, 2, 1, 3, 3, 3, 4, 3, 1, 4, 2, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 2, 0, 3, 1, 3, 3, 3, 2, 4],[7, 0, 8, 0, 7, 1, 8, 1, 1, 5, 0, 6, 1, 6, 2, 6, 0, 7],[3, 0, 1, 1, 5, 1, 0, 2, 1, 2, 1, 3, 3, 3, 2, 4, 6, 4, 3, 5, 4, 5, 5, 5],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 2, 2, 3, 2, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 5, 2, 1, 3, 6, 3, 5, 4, 4, 5],[2, 0, 0, 1, 1, 1, 8, 1, 9, 1, 1, 2, 2, 2, 9, 2, 10, 2, 2, 3, 8, 3, 9, 3],[1, 0, 0, 1, 2, 1, 0, 3, 1, 3, 2, 3, 4, 4, 5, 4, 3, 5, 6, 5, 4, 6, 5, 6],[8, 0, 7, 1, 9, 1, 1, 2, 6, 2, 9, 2, 0, 3, 1, 3, 2, 3, 7, 3, 8, 3],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 3, 2, 4, 2, 0, 3, 2, 3, 3, 3],[3, 0, 4, 0, 4, 1, 0, 2, 1, 2, 2, 2, 4, 2],[0, 0, 1, 0, 2, 0, 3, 3, 4, 3, 5, 3, 3, 4, 6, 4, 4, 5, 5, 5],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 8, 2, 8, 3, 9, 3, 8, 4],[7, 0, 8, 0, 8, 1, 0, 2, 1, 2, 5, 2, 8, 2, 0, 3, 1, 3, 6, 3, 7, 3],[4, 0, 3, 1, 4, 1, 5, 1, 2, 2, 5, 2, 6, 2, 2, 3, 0, 4, 2, 4],[4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 0, 3, 5, 3, 1, 4, 2, 4, 3, 4, 4, 4],[3, 0, 2, 1, 4, 1, 1, 3, 0, 4, 1, 4, 3, 4, 6, 4, 1, 5, 2, 5, 3, 5, 5, 5],[5, 0, 6, 0, 1, 1, 4, 1, 7, 1, 1, 2, 5, 2, 6, 2, 0, 3, 2, 3],[3, 0, 2, 1, 3, 1, 1, 2, 4, 2, 0, 3, 1, 3, 2, 3, 5, 5, 6, 5, 5, 6],[0, 0, 0, 1, 1, 1, 3, 2, 1, 3, 2, 3, 4, 3, 5, 3, 1, 4, 2, 4],[4, 0, 1, 1, 4, 1, 0, 2, 1, 2, 3, 2, 8, 4, 9, 4, 8, 5, 9, 5],[5, 0, 6, 0, 5, 1, 0, 2, 1, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3, 2, 4],[3, 0, 4, 0, 5, 0, 2, 1, 1, 2, 6, 2, 0, 3, 1, 4, 4, 4, 5, 4, 2, 5, 3, 5],[5, 0, 6, 0, 5, 1, 7, 1, 7, 2, 0, 3, 1, 3, 5, 3, 6, 3, 7, 3, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 2, 2, 3, 2, 7, 2, 8, 2, 7, 3, 8, 3],[3, 0, 2, 1, 3, 1, 4, 2, 1, 3, 3, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 3, 1, 4, 2, 5, 3, 4, 5, 5, 5],[8, 0, 9, 0, 0, 1, 1, 1, 9, 1, 10, 1, 0, 2, 1, 2, 8, 2, 9, 2, 8, 3],[2, 0, 3, 0, 3, 1, 4, 1, 1, 2, 2, 2, 3, 2, 0, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 2, 1, 3, 4, 3, 2, 4, 4, 4],[0, 0, 0, 1, 0, 2, 6, 5, 5, 6, 7, 6, 5, 7, 7, 7, 8, 7, 6, 8, 7, 8],[2, 0, 3, 0, 4, 0, 1, 2, 4, 2, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 8, 2, 9, 2, 1, 3, 2, 3, 8, 3, 9, 3],[3, 0, 1, 1, 4, 1, 1, 2, 5, 2, 0, 3, 2, 3, 4, 3],[4, 0, 5, 0, 3, 1, 5, 1, 3, 2, 0, 3, 1, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 4, 2, 4, 3, 7, 3, 5, 4, 6, 4, 7, 4],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 1, 3, 2, 3, 12, 5, 13, 5, 12, 6, 13, 6],[0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 1, 1, 5, 1, 2, 2, 3, 2, 4, 2],[6, 0, 7, 0, 4, 1, 7, 1, 0, 2, 1, 2, 6, 2, 0, 3, 2, 3, 1, 4, 2, 4, 2, 5],[1, 0, 0, 1, 2, 1, 5, 1, 6, 1, 7, 1, 1, 2, 2, 2, 6, 2],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 7, 1, 8, 1, 0, 2, 7, 2, 8, 2, 1, 3],[0, 0, 1, 0, 1, 1, 6, 1, 7, 1, 7, 2, 5, 3, 6, 3, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 5, 3, 2, 4, 5, 4, 3, 5],[0, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 2, 3, 2],[3, 0, 4, 0, 2, 1, 5, 1, 0, 2, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 4, 0, 0, 1, 4, 1, 5, 1, 0, 2, 4, 2, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 11, 1, 12, 1, 0, 2, 1, 2, 2, 2, 11, 2, 12, 2],[0, 0, 1, 0, 5, 0, 0, 1, 1, 1, 4, 1, 5, 1, 3, 2, 1, 3, 3, 3, 2, 4],[2, 0, 1, 1, 3, 1, 0, 2, 3, 2, 4, 2, 1, 3, 4, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 6, 4, 6, 5, 6, 6],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 8, 5, 8, 6, 8, 7],[1, 0, 0, 1, 1, 1, 5, 1, 6, 1, 0, 2, 4, 2, 6, 2, 7, 3, 4, 4, 6, 4, 5, 5],[1, 0, 0, 1, 4, 1, 5, 1, 1, 2, 3, 2, 5, 2, 2, 3],[2, 0, 3, 0, 5, 0, 1, 1, 3, 1, 5, 1, 0, 2, 1, 3, 3, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 6, 2, 6, 3, 7, 3, 8, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 3, 4, 6, 4, 4, 5, 5, 5],[3, 0, 5, 0, 0, 2, 1, 2, 5, 2, 1, 3, 3, 3, 4, 3, 2, 4],[3, 0, 2, 1, 4, 1, 5, 1, 1, 2, 2, 2, 0, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 4, 3, 6, 3, 4, 4, 5, 4, 6, 4, 5, 5],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 3, 3, 4, 3, 4, 4, 5, 4, 3, 5, 4, 5],[0, 0, 1, 0, 2, 0, 3, 1, 6, 1, 5, 2, 6, 2, 1, 3, 2, 3],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 2, 2, 5, 5, 6, 5, 4, 6, 5, 6],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 3, 4, 4, 4, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 5, 3, 3, 4, 4, 4],[2, 0, 3, 0, 0, 1, 0, 2, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 3, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 3, 3, 3, 5, 3, 4, 4],[1, 0, 4, 0, 5, 1, 0, 2, 6, 2, 0, 3, 6, 3, 1, 4, 6, 4, 1, 5, 5, 5, 3, 6],[2, 0, 1, 1, 3, 1, 0, 2, 0, 3, 3, 4, 4, 4, 5, 4, 5, 5],[2, 0, 4, 0, 0, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3, 3, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3, 8, 4, 9, 4, 8, 5, 9, 5],[7, 0, 6, 1, 7, 1, 8, 1, 8, 2, 0, 6, 1, 6, 0, 7, 1, 7],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 6, 1, 1, 2, 3, 2, 4, 2, 5, 2, 4, 3],[4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 2, 1, 5, 1, 4, 2],[10, 0, 11, 0, 10, 1, 11, 1, 0, 6, 2, 6, 2, 7, 1, 8, 3, 8, 2, 9, 2, 10],[0, 0, 0, 2, 1, 2, 0, 3, 6, 3, 6, 4, 7, 4, 8, 5, 6, 6, 7, 6, 6, 7],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3, 4, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 1, 1, 5, 1, 2, 2, 5, 2, 2, 3, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 7, 2, 8, 2, 8, 3, 9, 3],[2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 2, 3, 9, 3, 2, 4, 9, 4, 9, 5],[7, 0, 1, 1, 7, 1, 1, 2, 7, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[2, 0, 1, 1, 4, 1, 4, 2, 5, 2, 0, 3, 1, 3, 2, 3, 5, 3, 5, 4],[6, 0, 7, 0, 0, 1, 1, 1, 5, 1, 7, 1, 0, 2, 1, 2, 4, 2, 5, 2, 5, 3, 6, 3],[6, 0, 7, 0, 6, 1, 7, 1, 0, 2, 1, 2, 0, 3, 0, 4, 3, 4, 1, 5, 2, 5],[4, 0, 3, 1, 4, 1, 5, 1, 3, 2, 5, 2, 6, 2, 0, 5, 1, 5, 2, 5],[1, 0, 5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 5, 2],[0, 0, 1, 0, 0, 1, 1, 1, 7, 5, 9, 5, 7, 6, 9, 6, 7, 7, 8, 7, 9, 7],[0, 0, 1, 0, 5, 0, 0, 1, 6, 1, 0, 2, 6, 2, 5, 3, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 10, 1, 8, 2, 9, 2, 10, 2, 9, 3],[1, 0, 4, 0, 0, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 3],[3, 0, 4, 0, 1, 1, 3, 1, 0, 2, 4, 3, 1, 4, 2, 4, 4, 4, 5, 4],[4, 0, 1, 1, 0, 2, 5, 2, 0, 3, 0, 4, 1, 4, 2, 4, 5, 4, 6, 4, 5, 5],[0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 2, 3, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 0, 4, 1, 4, 2, 4],[1, 0, 0, 1, 1, 1, 2, 1, 6, 3, 7, 3, 5, 4, 8, 4, 5, 5, 7, 5, 6, 6],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 8, 4, 9, 4, 8, 5, 9, 5],[3, 0, 4, 0, 3, 1, 5, 1, 2, 2, 5, 2, 1, 3, 4, 3, 0, 4, 4, 4, 0, 5, 1, 5],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3, 7, 3, 7, 4, 7, 5],[0, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 1, 2, 2, 2, 4, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 4, 7, 4, 5, 5, 6, 5, 6, 6],[0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 6, 5, 7, 5, 6, 7, 7, 7, 8, 7],[0, 0, 1, 0, 2, 0, 3, 0, 4, 1, 4, 2, 5, 2, 3, 3, 4, 3, 3, 4],[2, 0, 3, 0, 1, 1, 0, 2, 3, 2, 1, 3, 5, 3, 6, 4, 3, 5, 5, 5, 4, 6],[0, 0, 1, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 2, 2, 4, 2, 5, 2, 1, 3],[0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 2, 3, 3, 3, 4, 3],[5, 0, 6, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 1, 2, 3, 3, 4, 3],[0, 0, 1, 0, 1, 1, 4, 1, 1, 2, 5, 2, 2, 3, 5, 3, 4, 4],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4],[0, 0, 1, 0, 2, 0, 1, 1, 6, 2, 5, 3, 7, 3, 6, 4],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 2, 2, 7, 2, 6, 3, 8, 3, 7, 4, 8, 4],[2, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3, 4, 4, 5, 4, 4, 5],[2, 0, 4, 0, 0, 1, 1, 1, 5, 1, 2, 2, 5, 2, 2, 3, 3, 3, 4, 3],[1, 0, 1, 1, 2, 1, 0, 2, 6, 2, 7, 3, 8, 3, 6, 4],[5, 0, 5, 1, 6, 1, 5, 2, 0, 3, 0, 4, 1, 4, 0, 5],[1, 0, 2, 0, 0, 1, 3, 1, 12, 2, 13, 2, 12, 3, 13, 3, 0, 4, 1, 4, 2, 4],[2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 0, 2, 5, 2, 0, 3, 5, 3, 3, 4, 4, 4],[8, 0, 9, 0, 8, 1, 9, 1, 1, 3, 0, 4, 1, 4, 1, 5, 2, 5],[2, 0, 3, 0, 2, 1, 3, 1, 1, 2, 4, 2, 1, 3, 4, 3, 0, 4, 3, 4],[1, 0, 4, 0, 0, 1, 4, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 3],[1, 0, 2, 0, 0, 1, 1, 1, 8, 1, 9, 1, 1, 2, 2, 2, 8, 2, 9, 2, 2, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 2, 1, 3, 3, 3, 9, 3, 9, 4, 9, 5],[5, 0, 1, 1, 2, 1, 6, 1, 1, 2, 2, 2, 6, 2, 0, 3, 6, 3, 1, 4, 5, 4, 1, 5],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 3, 2, 4, 2, 3, 3],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 7, 5, 8, 5, 7, 6, 8, 6],[2, 0, 1, 1, 6, 1, 0, 2, 1, 2, 6, 2, 1, 3, 3, 3, 2, 4, 3, 4, 4, 4, 3, 5],[6, 0, 7, 0, 6, 1, 7, 1, 0, 4, 1, 4, 3, 4, 1, 5, 2, 5, 3, 5, 2, 6],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 6, 2, 6, 3, 2, 4, 6, 4, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 3, 6, 3, 3, 4, 1, 5, 2, 5, 1, 6],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 3, 2, 0, 3, 0, 4, 1, 4],[6, 0, 1, 1, 2, 1, 6, 1, 0, 2, 1, 2, 6, 2, 1, 3],[3, 0, 4, 0, 1, 1, 2, 1, 3, 1, 5, 1, 0, 2, 5, 2, 1, 3, 4, 3, 1, 4, 4, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 4, 2, 0, 3, 1, 3, 3, 3],[2, 0, 3, 0, 0, 1, 5, 1, 6, 1, 7, 1, 1, 2, 3, 2, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 4, 3, 2, 4, 3, 4],[3, 0, 4, 0, 2, 1, 5, 1, 4, 3, 0, 4, 3, 4, 0, 5, 1, 5, 2, 5],[2, 0, 5, 0, 6, 0, 7, 0, 0, 1, 1, 1, 6, 1, 2, 2],[2, 0, 3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 0, 3, 1, 3, 5, 3, 3, 4, 4, 4],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 4, 2, 1, 3, 2, 3, 4, 3],[0, 0, 1, 0, 5, 0, 0, 1, 4, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[2, 0, 3, 0, 1, 1, 3, 1, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[7, 0, 8, 1, 0, 2, 1, 2, 5, 2, 8, 2, 0, 3, 1, 3, 5, 3, 6, 3, 7, 3],[0, 0, 1, 0, 2, 0, 4, 0, 4, 1, 6, 1, 5, 2, 6, 2],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 7, 2, 8, 2, 7, 3, 8, 3],[1, 0, 2, 0, 0, 1, 3, 1, 3, 2, 2, 3, 3, 3, 7, 3, 8, 3, 7, 4, 8, 4],[0, 0, 1, 0, 4, 0, 5, 0, 6, 0, 1, 1, 2, 1, 1, 2],[1, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 4, 3, 5, 3, 1, 4, 2, 4],[7, 0, 8, 0, 9, 0, 8, 2, 9, 2, 10, 2, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 4, 2, 3, 3, 4, 3, 5, 3, 5, 4],[0, 0, 1, 0, 5, 0, 7, 0, 8, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 1, 6, 2],[6, 0, 7, 1, 8, 1, 1, 2, 6, 2, 0, 3, 1, 3, 2, 3],[7, 0, 6, 1, 8, 1, 8, 2, 0, 3, 1, 3, 3, 3, 8, 3, 1, 4, 7, 4, 2, 6],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 0, 3, 5, 3, 2, 5, 3, 5, 4, 5],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 5, 4, 6, 4, 7, 4],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 0, 1, 3, 1, 6, 1, 7, 1, 2, 3, 3, 3],[5, 0, 2, 1, 6, 1, 0, 2, 6, 2, 0, 3, 3, 3, 4, 3, 5, 3, 6, 3, 0, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 3, 3, 5, 3, 3, 4, 4, 4, 6, 4, 7, 4, 5, 5],[9, 0, 10, 0, 1, 1, 2, 1, 9, 1, 10, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 4],[3, 0, 1, 1, 5, 1, 6, 1, 0, 2, 6, 2, 0, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 0, 1, 6, 1, 0, 2, 6, 2, 1, 3, 5, 3, 6, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 9, 6, 10, 6, 9, 7, 10, 7],[0, 0, 2, 0, 7, 0, 8, 0, 0, 1, 3, 1, 7, 1, 9, 1, 0, 2, 2, 2, 8, 2],[1, 0, 2, 0, 3, 0, 3, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3],[5, 0, 6, 0, 7, 0, 5, 1, 5, 2, 6, 2, 7, 2, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 2, 0, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3, 4, 3, 3, 4],[9, 0, 8, 1, 10, 1, 8, 2, 10, 2, 9, 3, 10, 3, 0, 8, 1, 8, 0, 9, 1, 9],[6, 0, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 2, 4, 4, 5, 4],[0, 0, 0, 1, 2, 1, 3, 1, 0, 2, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 4, 4, 5, 4],[1, 0, 0, 1, 2, 1, 3, 1, 2, 2, 3, 2, 1, 3, 2, 3, 4, 3, 4, 4, 5, 4, 3, 5],[0, 0, 1, 0, 2, 0, 12, 0, 10, 1, 12, 1, 9, 2, 10, 2, 11, 2],[5, 0, 6, 0, 7, 0, 7, 1, 5, 2, 7, 2, 5, 3, 6, 3, 0, 5, 1, 5, 0, 6, 1, 6],[5, 0, 2, 1, 4, 1, 6, 1, 1, 2, 2, 2, 6, 2, 7, 2, 0, 3, 4, 3],[3, 0, 4, 0, 0, 1, 2, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3],[1, 0, 2, 0, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 1, 3, 4, 3, 2, 4, 3, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 6, 5, 7, 5, 8, 5, 7, 6],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 2, 4, 2, 4, 3, 2, 4, 3, 4],[0, 0, 1, 0, 5, 0, 6, 0, 7, 0, 0, 1, 1, 1, 4, 1, 7, 1, 4, 2, 5, 3],[3, 0, 3, 1, 5, 1, 6, 1, 1, 2, 6, 2, 1, 3, 5, 3, 6, 3, 0, 4, 3, 4],[0, 0, 1, 0, 2, 0, 10, 1, 11, 1, 12, 1, 8, 2, 9, 2, 11, 2, 12, 2, 10, 3],[0, 0, 0, 1, 0, 2, 5, 3, 6, 3, 7, 3, 7, 4, 5, 5, 6, 5, 7, 5],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 6, 4, 7, 4, 6, 5, 7, 5],[1, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 4],[0, 0, 3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 3, 3, 5, 3],[1, 0, 1, 1, 6, 1, 7, 1, 0, 2, 6, 2, 7, 2, 1, 3, 2, 3, 2, 4],[1, 0, 4, 0, 0, 1, 1, 1, 5, 1, 4, 2, 1, 3, 2, 3, 3, 3],[4, 0, 3, 1, 5, 1, 2, 2, 6, 2, 0, 3, 1, 3, 3, 3, 5, 3, 0, 4, 1, 4, 4, 4],[1, 0, 0, 1, 1, 1, 7, 1, 1, 2, 8, 2, 9, 2, 7, 3],[8, 0, 9, 0, 8, 1, 9, 1, 2, 4, 3, 4, 0, 5, 3, 5, 0, 6, 3, 6, 0, 7, 2, 7],[1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3],[13, 0, 14, 0, 1, 1, 2, 1, 3, 1, 13, 1, 14, 1, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 3, 3, 4, 3],[1, 0, 3, 0, 0, 1, 2, 1, 4, 1, 6, 1, 0, 2, 2, 2, 4, 2, 5, 2, 1, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 6, 3, 6, 4, 7, 4, 5, 5, 6, 5, 5, 6],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 1, 2, 2, 2, 4, 2, 0, 3],[2, 0, 3, 0, 0, 2, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4],[5, 0, 7, 1, 1, 2, 7, 2, 0, 3, 7, 3, 0, 4, 0, 5, 1, 5, 2, 5],[10, 0, 0, 1, 1, 1, 2, 1, 9, 1, 10, 1, 8, 2, 10, 2],[5, 0, 0, 1, 1, 1, 2, 1, 4, 1, 5, 1, 4, 2, 5, 2],[8, 0, 9, 0, 7, 1, 9, 1, 10, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3, 7, 3],[4, 0, 3, 1, 5, 1, 0, 2, 2, 2, 3, 2, 6, 2, 1, 3, 4, 3, 5, 3, 0, 4],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 4, 3],[0, 0, 3, 0, 4, 0, 1, 1, 4, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 0, 1, 1, 1, 4, 3, 5, 3, 2, 4, 4, 4, 2, 5, 3, 5],[0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 6, 2, 1, 3, 5, 3, 3, 4, 4, 4],[1, 0, 3, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 2, 2, 3, 3, 3, 5, 3, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 1, 3, 2, 3, 6, 4, 7, 5, 8, 5, 7, 6],[0, 0, 5, 0, 1, 1, 2, 1, 6, 1, 2, 2, 3, 2, 4, 2, 5, 2, 4, 3],[1, 0, 2, 0, 0, 1, 2, 1, 8, 1, 1, 2, 7, 2, 8, 2, 8, 3],[0, 0, 1, 0, 3, 0, 0, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 3, 2, 4, 2],[3, 0, 4, 0, 5, 0, 0, 2, 1, 2, 2, 2, 2, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 8, 0, 0, 1, 1, 1, 7, 1, 8, 1, 8, 2, 9, 2],[5, 0, 4, 1, 6, 1, 3, 2, 4, 2, 6, 2, 7, 2, 0, 4, 0, 5, 0, 6],[1, 0, 0, 1, 1, 1, 2, 1, 5, 2, 0, 3, 5, 3, 6, 3, 4, 4, 5, 4, 4, 5],[1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 7, 4, 8, 4, 7, 5, 8, 5],[8, 0, 9, 0, 8, 1, 9, 1, 2, 2, 1, 3, 0, 4, 1, 4, 1, 5, 2, 5, 2, 6],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 3, 2, 4, 3, 5, 3, 4, 4, 5, 4],[0, 0, 1, 0, 3, 0, 4, 0, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 4, 1, 7, 1, 6, 3, 7, 3],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[5, 0, 2, 1, 6, 1, 1, 2, 7, 2, 0, 3, 7, 3, 1, 4, 7, 4, 2, 5, 6, 5, 5, 6],[4, 0, 5, 0, 6, 1, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 4, 4, 2, 5],[7, 0, 6, 1, 8, 1, 6, 2, 9, 2, 7, 3, 8, 3, 0, 4, 1, 4, 2, 4, 1, 5],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 3, 4, 3, 3, 4],[1, 0, 3, 0, 0, 1, 1, 1, 0, 2, 2, 2, 4, 2, 1, 3, 2, 3, 4, 3, 4, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 4, 3, 2, 4, 3, 4, 4, 4],[4, 0, 5, 0, 6, 0, 6, 1, 4, 2, 5, 2, 6, 2, 0, 4, 0, 5, 0, 6],[6, 0, 7, 0, 2, 1, 8, 1, 1, 2, 7, 2, 0, 3, 7, 3, 1, 4, 6, 4],[2, 0, 3, 0, 5, 0, 1, 1, 5, 1, 0, 2, 1, 2, 5, 2, 1, 3, 3, 3],[0, 0, 0, 1, 4, 1, 0, 2, 5, 2, 3, 3, 4, 3, 5, 3, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 7, 3, 8, 3, 8, 4, 9, 4, 7, 5, 8, 5],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 6, 3, 4, 4, 5, 4, 4, 5],[1, 0, 0, 1, 4, 1, 1, 2, 3, 2, 4, 2, 3, 3, 4, 3],[3, 0, 2, 1, 4, 1, 5, 2, 0, 3, 2, 3, 3, 3, 4, 3, 0, 4],[0, 0, 1, 0, 5, 0, 6, 0, 0, 1, 1, 1, 5, 1, 5, 2, 8, 2, 6, 3, 7, 3],[0, 0, 2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 2, 3],[0, 0, 0, 1, 0, 2, 3, 5, 4, 5, 6, 5, 7, 5, 4, 6, 6, 6, 5, 7],[3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 1, 2, 4, 2, 1, 3, 3, 3],[5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 0, 4, 3, 4, 3, 5],[0, 0, 1, 0, 5, 0, 0, 1, 6, 1, 1, 2, 5, 2, 1, 3, 2, 3, 4, 3],[9, 0, 10, 0, 9, 1, 10, 1, 1, 2, 1, 3, 2, 3, 0, 4, 3, 4, 2, 5, 2, 6],[0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3, 4, 3],[4, 0, 4, 1, 5, 1, 1, 2, 0, 3, 2, 3, 3, 3, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2, 6, 2, 7, 2, 1, 3, 1, 4],[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 2, 2, 7, 5, 8, 5, 9, 5],[0, 0, 0, 1, 0, 2, 1, 2, 3, 2, 4, 2, 1, 3, 4, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 6, 2, 7, 2, 7, 3, 8, 3, 6, 4, 7, 4],[0, 0, 0, 1, 1, 1, 0, 2, 5, 2, 6, 2, 5, 3, 7, 3, 6, 4],[1, 0, 0, 1, 0, 2, 3, 2, 5, 2, 0, 3, 1, 3, 6, 3, 5, 4, 4, 5],[4, 0, 5, 0, 6, 0, 0, 1, 5, 1, 0, 2, 4, 2, 0, 3],[1, 0, 3, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3],[0, 0, 0, 1, 3, 1, 4, 1, 5, 1, 2, 2, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 1, 1, 1, 2, 5, 2, 0, 3, 6, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 6, 3, 7, 3, 8, 4, 4, 5, 6, 5, 4, 6, 5, 6, 6, 6],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 5, 2, 2, 3, 3, 3, 3, 4, 5, 4],[2, 0, 3, 0, 2, 1, 3, 1, 5, 1, 1, 2, 5, 2, 0, 3, 1, 4, 2, 4],[5, 0, 6, 0, 3, 1, 6, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 3, 3, 3],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 1, 3, 2, 3, 3, 3],[1, 0, 7, 0, 0, 1, 2, 1, 7, 1, 7, 2, 6, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 10, 4, 11, 4, 10, 5, 11, 5],[2, 0, 1, 1, 3, 1, 8, 1, 0, 2, 3, 2, 7, 2, 8, 2, 9, 2, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 3, 1, 4, 1, 1, 2, 4, 2, 5, 2, 1, 3, 4, 3, 2, 4, 3, 4],[5, 0, 1, 1, 2, 1, 5, 1, 1, 2, 2, 2, 4, 2, 0, 3, 0, 4, 1, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 4, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 3, 6, 4, 7, 4, 6, 5, 7, 5],[9, 0, 11, 0, 8, 1, 11, 1, 0, 2, 1, 2, 8, 2, 11, 2, 0, 3, 1, 3, 8, 3, 9, 3],[1, 0, 3, 0, 4, 1, 0, 2, 1, 2, 5, 2, 5, 3, 1, 4, 5, 4, 2, 5],[2, 0, 1, 1, 3, 1, 0, 2, 5, 2, 1, 3, 6, 3, 2, 4, 3, 5, 4, 5, 5, 5],[0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 1, 2, 4, 2, 5, 2],[1, 0, 2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 2, 3, 4, 3, 3, 4],[0, 0, 0, 1, 5, 1, 6, 1, 0, 2, 5, 2, 7, 2, 5, 3, 7, 3, 6, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 5, 3],[3, 0, 5, 0, 2, 1, 6, 1, 1, 2, 5, 2, 0, 3, 0, 4, 2, 4, 3, 4, 1, 5],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 5, 1, 1, 2, 5, 2, 1, 3, 2, 3],[3, 0, 2, 1, 1, 2, 6, 2, 0, 3, 1, 3, 6, 3, 1, 4, 6, 4, 5, 5, 4, 6],[2, 0, 1, 1, 3, 1, 5, 1, 6, 1, 0, 2, 5, 2, 6, 2, 2, 3, 3, 3, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 6, 2, 7, 2, 4, 3, 7, 3, 4, 4, 5, 4, 6, 4],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 4, 3],[1, 0, 6, 0, 0, 1, 2, 1, 5, 1, 7, 1, 0, 2, 1, 2, 6, 2, 7, 2, 6, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 5, 5, 6, 5, 5, 6, 6, 6],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 8, 3, 9, 3, 8, 4, 9, 4],[7, 0, 7, 1, 0, 2, 1, 2, 2, 2, 5, 2, 0, 3, 6, 3, 0, 4, 6, 4, 1, 5, 5, 5],[0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 4, 2, 2, 3, 4, 3, 4, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 3, 2, 2, 3, 7, 3, 8, 3, 7, 4, 8, 4],[3, 0, 4, 0, 2, 1, 5, 1, 5, 2, 1, 3, 5, 3, 0, 4, 4, 4, 1, 5, 3, 5],[3, 0, 5, 0, 2, 1, 6, 1, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 3, 4],[0, 0, 0, 1, 0, 2, 4, 2, 6, 2, 4, 3, 6, 3, 4, 4, 5, 4, 6, 4],[3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 2, 5, 3, 4, 4, 5, 4],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 7, 1, 6, 2, 7, 2],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 5, 4],[7, 0, 9, 0, 0, 1, 1, 1, 7, 1, 10, 1, 0, 2, 1, 2, 7, 2, 10, 2, 9, 3, 10, 3],[6, 0, 6, 1, 7, 1, 8, 1, 7, 2, 0, 3, 1, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 8, 7, 9, 7, 8, 8, 9, 8],[4, 0, 2, 1, 3, 1, 4, 1, 3, 2, 0, 3, 1, 3, 2, 4],[4, 0, 5, 0, 4, 1, 5, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 4, 3, 1, 4, 2, 4, 3, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 2, 3, 2, 4, 8, 4, 9, 4, 10, 4],[1, 0, 1, 1, 5, 1, 1, 2, 6, 2, 6, 3, 7, 3, 0, 4, 1, 4, 5, 4, 0, 5, 1, 5],[1, 0, 2, 0, 0, 1, 4, 1, 3, 2, 5, 2, 6, 3, 0, 4, 1, 4, 5, 4],[1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 6, 2, 1, 3, 5, 3, 6, 3, 7, 3, 3, 4, 7, 4],[2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3],[6, 0, 8, 0, 6, 1, 8, 1, 6, 2, 7, 2, 8, 2, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 1, 0, 2, 0, 5, 0, 6, 0, 7, 0, 6, 1, 5, 2],[8, 0, 9, 0, 8, 1, 9, 1, 0, 4, 0, 5, 1, 5, 2, 5, 1, 6],[8, 0, 7, 1, 8, 1, 6, 2, 7, 2, 2, 3, 0, 4, 1, 4, 3, 4, 4, 4, 2, 5],[1, 0, 2, 0, 0, 1, 5, 1, 0, 2, 1, 2, 6, 2, 1, 3, 3, 3, 5, 3],[1, 0, 2, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3],[9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 10, 1, 0, 2, 1, 2, 10, 2],[1, 0, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 5, 2, 8, 2, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 3, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 6, 4, 7, 4, 6, 5, 7, 5],[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 3, 3],[0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 3, 2, 5, 2, 4, 3, 5, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 6, 1, 2, 2, 3, 2, 5, 2, 4, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 1, 3, 3, 3, 4, 3],[2, 0, 1, 1, 0, 2, 1, 2, 1, 3, 2, 3, 7, 3, 9, 3, 2, 4, 8, 4, 9, 4, 8, 5],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 4, 0, 5, 0, 6, 0, 0, 1, 4, 1, 6, 1, 0, 2, 4, 2, 6, 2],[1, 0, 1, 1, 7, 1, 0, 2, 2, 2, 6, 2, 8, 2, 6, 3, 9, 3, 7, 4, 8, 4],[5, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 1, 2, 3, 2, 4, 2, 5, 2],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 2, 2, 9, 4, 10, 4, 11, 4],[5, 0, 1, 1, 2, 1, 3, 1, 5, 1, 0, 2, 3, 2, 0, 3, 0, 4],[6, 0, 0, 1, 2, 1, 6, 1, 7, 1, 0, 2, 3, 2, 6, 2, 0, 3, 2, 3],[1, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 5, 2],[0, 0, 1, 0, 0, 1, 1, 1, 4, 4, 5, 4, 7, 4, 4, 5, 7, 5, 5, 6, 6, 6, 7, 6],[4, 0, 2, 1, 3, 1, 5, 1, 0, 2, 1, 2, 5, 2, 3, 3, 4, 3, 0, 4, 1, 4, 2, 4],[4, 0, 5, 0, 6, 0, 4, 1, 7, 1, 4, 2, 6, 2, 7, 2, 0, 6, 1, 6, 0, 7, 1, 7],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 6, 3, 7, 3, 6, 4, 7, 4],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 6, 1, 3, 2, 5, 2, 4, 3],[4, 0, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 4, 4, 1, 5, 2, 5],[2, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 4, 3, 4],[7, 0, 8, 0, 6, 1, 7, 1, 7, 2, 0, 6, 1, 6, 0, 7, 1, 7],[2, 0, 5, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[6, 0, 7, 0, 8, 0, 6, 1, 6, 2, 7, 2, 8, 2, 0, 3, 1, 3, 0, 4, 1, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 7, 2, 1, 3, 2, 3, 8, 3, 8, 4, 7, 5],[6, 0, 2, 1, 6, 1, 5, 2, 7, 2, 0, 3, 1, 3, 4, 3, 6, 3, 0, 4, 6, 4, 1, 5],[8, 0, 8, 1, 9, 1, 9, 2, 10, 2, 8, 3, 9, 3, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 8, 0, 9, 0, 0, 1, 1, 1, 7, 1, 8, 1, 8, 2],[9, 0, 10, 0, 1, 1, 9, 1, 10, 1, 0, 2, 1, 2, 2, 2, 0, 3],[2, 0, 4, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 0, 2, 3, 2, 1, 3],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3, 1, 4, 2, 4],[1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 1, 3, 2, 3, 3, 3, 2, 4, 3, 4],[1, 0, 3, 0, 0, 1, 4, 1, 1, 2, 3, 2, 10, 2, 11, 2, 2, 3, 10, 3, 11, 3],[8, 0, 7, 1, 8, 1, 8, 2, 6, 3, 7, 3, 0, 5, 0, 6, 0, 7],[5, 0, 4, 1, 4, 2, 7, 2, 0, 3, 1, 3, 5, 3, 6, 3, 7, 3, 0, 4, 1, 4],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 4, 5, 5, 5, 6, 5],[4, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 2, 2, 3, 3, 3],[0, 0, 3, 0, 4, 0, 5, 0, 0, 1, 2, 1, 3, 2, 5, 2, 4, 3],[1, 0, 0, 1, 1, 1, 7, 1, 1, 2, 6, 2, 7, 2, 7, 3],[1, 0, 6, 0, 0, 1, 2, 1, 6, 1, 1, 2, 5, 2, 7, 2],[4, 0, 2, 1, 3, 1, 4, 1, 5, 1, 0, 2, 1, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 2, 1, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 6, 2, 8, 2, 6, 3, 8, 3, 6, 4, 7, 4, 8, 4],[1, 0, 1, 1, 4, 1, 5, 1, 0, 2, 6, 2, 1, 3, 6, 3, 1, 4, 5, 4, 3, 5, 4, 5],[1, 0, 0, 1, 2, 1, 4, 1, 0, 2, 3, 2, 4, 2, 4, 3],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 1, 3, 2, 3, 13, 3, 14, 3, 13, 4, 14, 4],[5, 0, 7, 0, 0, 1, 4, 1, 7, 1, 0, 2, 1, 2, 5, 2, 7, 2, 0, 3],[1, 0, 0, 1, 1, 1, 1, 2, 5, 3, 6, 3, 4, 4, 7, 4, 4, 5, 7, 5, 5, 6, 6, 6],[1, 0, 5, 0, 6, 0, 1, 1, 5, 1, 7, 1, 0, 2, 7, 2, 1, 3, 7, 3, 1, 4, 6, 4],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 7, 3, 1, 4, 2, 4, 0, 5, 3, 5, 1, 6, 2, 6],[0, 0, 0, 1, 4, 1, 6, 1, 0, 2, 4, 2, 6, 2, 4, 3, 5, 3, 6, 3],[3, 0, 4, 0, 2, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 2, 4, 3, 2, 4],[0, 0, 1, 0, 9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 10, 1, 10, 2],[4, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3],[3, 0, 5, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 5, 2, 6, 2],[9, 0, 10, 0, 9, 1, 10, 1, 0, 4, 1, 4, 2, 4, 1, 6, 2, 6, 3, 6],[5, 0, 1, 1, 3, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 3, 3, 1, 4],[4, 0, 5, 1, 5, 2, 6, 2, 0, 3, 1, 3, 2, 3, 5, 3, 4, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 1, 3, 6, 5, 7, 5, 6, 6, 7, 6],[5, 0, 1, 1, 3, 1, 4, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 6, 3],[0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 5, 4, 6, 4, 7, 4, 6, 5],[7, 0, 8, 0, 9, 0, 9, 1, 7, 2, 8, 2, 9, 2, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 0, 3, 0, 4, 6, 4, 1, 5, 6, 5, 7, 5, 2, 6],[1, 0, 3, 0, 0, 1, 4, 1, 1, 2, 5, 2, 2, 3, 5, 3, 5, 4],[10, 0, 11, 0, 10, 1, 11, 1, 0, 2, 2, 2, 0, 3, 3, 3, 0, 4, 3, 4, 2, 5, 3, 5],[8, 0, 9, 0, 8, 1, 9, 1, 1, 2, 1, 3, 2, 3, 0, 4, 1, 4],[0, 0, 3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 8, 4, 7, 5, 9, 5, 7, 6, 9, 6, 8, 7],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 8, 2, 6, 3, 7, 3, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 3, 2, 0, 3, 3, 3],[1, 0, 2, 0, 8, 0, 9, 0, 10, 0, 0, 1, 3, 1, 9, 1, 1, 2, 2, 2, 8, 2],[2, 0, 1, 1, 3, 1, 4, 1, 5, 1, 6, 1, 0, 2, 1, 3, 3, 3, 2, 4],[4, 0, 5, 0, 6, 0, 4, 1, 7, 1, 7, 2, 6, 3, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 0, 1, 0, 2, 8, 2, 7, 3, 9, 3, 10, 3, 7, 4, 10, 4, 8, 5, 9, 5, 10, 5],[0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 6, 2, 7, 2, 2, 3, 7, 3, 5, 4, 6, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 9, 5, 10, 5, 9, 6, 10, 6],[1, 0, 3, 0, 0, 1, 3, 1, 6, 1, 7, 1, 0, 2, 3, 2, 6, 2, 7, 2, 0, 3, 1, 3],[2, 0, 4, 0, 1, 1, 3, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[7, 0, 8, 0, 7, 1, 8, 1, 1, 3, 0, 4, 1, 4, 2, 4, 2, 5],[2, 0, 3, 0, 4, 0, 1, 1, 6, 1, 0, 2, 6, 2, 1, 3, 7, 3, 2, 4, 6, 4],[5, 0, 6, 0, 5, 1, 6, 1, 2, 3, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6, 2, 6],[2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 3, 7, 3, 7, 4, 8, 4, 6, 5, 7, 5, 6, 6],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 5, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[9, 0, 10, 0, 11, 0, 11, 1, 0, 2, 1, 2, 9, 2, 11, 2, 0, 3, 1, 3, 9, 3, 10, 3],[5, 0, 7, 0, 7, 1, 5, 2, 6, 2, 1, 3, 2, 3, 7, 3, 0, 4, 3, 4, 1, 5, 2, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 5, 3, 6, 3, 7, 3],[4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 0, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[9, 0, 10, 0, 9, 1, 10, 1, 2, 3, 3, 3, 0, 4, 3, 4, 0, 5, 3, 5, 0, 6, 2, 6],[5, 0, 6, 0, 7, 0, 4, 1, 7, 1, 4, 2, 5, 3, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 7, 0, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 3, 4, 4, 4],[6, 0, 7, 0, 8, 0, 0, 3, 1, 3, 2, 3, 0, 4, 0, 5, 1, 5, 2, 5],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 6, 2, 3, 3, 5, 3, 4, 4],[7, 0, 0, 1, 1, 1, 8, 1, 1, 2, 2, 2, 8, 2, 9, 2, 7, 3, 8, 3],[1, 0, 5, 0, 0, 1, 4, 1, 5, 1, 1, 2, 2, 2, 4, 2, 5, 2],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 2, 1, 3, 2, 3, 6, 3, 6, 4],[2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 1, 3, 6, 3, 2, 4, 5, 4, 3, 5, 4, 5],[1, 0, 2, 0, 0, 1, 1, 1, 5, 3, 6, 3, 6, 4, 6, 5, 5, 6],[5, 0, 4, 1, 5, 1, 4, 2, 5, 2, 2, 3, 0, 4, 1, 4, 2, 5],[1, 0, 2, 0, 3, 1, 4, 1, 0, 2, 1, 2, 4, 2, 4, 3, 2, 4, 3, 4],[1, 0, 2, 0, 3, 0, 2, 1, 0, 2, 0, 3, 1, 3],[1, 0, 0, 1, 2, 1, 3, 1, 4, 2, 1, 3, 5, 3, 1, 4, 2, 5, 3, 5, 4, 5],[1, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 0, 4, 1, 4],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 7, 5, 8, 5, 9, 5],[8, 0, 7, 1, 9, 2, 0, 3, 1, 3, 2, 3, 7, 3, 8, 3, 9, 3],[5, 0, 6, 0, 4, 1, 6, 1, 5, 2, 0, 3, 1, 3, 2, 3, 0, 4, 0, 5, 1, 5, 2, 5],[7, 0, 6, 1, 8, 1, 9, 2, 6, 3, 8, 3, 7, 4, 0, 7, 1, 7, 2, 7],[1, 0, 2, 0, 0, 1, 2, 1, 5, 1, 6, 1, 7, 1, 1, 2, 5, 3, 7, 3, 6, 4],[2, 0, 1, 1, 5, 1, 0, 2, 3, 2, 5, 2, 1, 3, 5, 3, 2, 4],[1, 0, 2, 0, 0, 1, 1, 1, 5, 1, 5, 2, 6, 2, 6, 3, 7, 3],[7, 0, 9, 0, 7, 1, 10, 1, 7, 2, 10, 2, 0, 3, 1, 3, 9, 3, 10, 3, 0, 4, 1, 4],[8, 0, 9, 0, 8, 1, 9, 1, 0, 5, 0, 6, 1, 6, 1, 7, 2, 7, 2, 8],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 2, 1, 3, 1, 4, 1, 6, 1, 7, 1, 8, 1, 0, 2],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 4, 2, 3, 3, 4, 3],[2, 0, 0, 1, 4, 1, 0, 2, 1, 2, 0, 3, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 6, 3, 7, 3, 6, 4, 8, 4, 8, 5, 6, 6, 8, 6, 6, 7, 7, 7],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 1, 3, 3, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 3, 6, 4, 6, 5, 7, 5, 7, 6, 8, 6],[1, 0, 2, 0, 4, 0, 1, 1, 2, 1, 5, 1, 6, 1, 0, 2, 4, 2],[4, 0, 2, 1, 3, 1, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 2, 4, 1, 5],[0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 5, 4, 7, 4, 5, 5, 8, 5, 5, 6, 7, 6],[7, 0, 8, 0, 7, 1, 8, 1, 0, 2, 1, 3, 0, 4, 1, 4, 2, 4],[6, 0, 5, 1, 7, 1, 8, 2, 0, 3, 1, 3, 1, 4, 3, 4, 2, 5, 4, 5],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 3, 4, 4, 4, 5, 4],[0, 0, 2, 0, 9, 0, 10, 0, 0, 1, 2, 1, 9, 1, 10, 1, 0, 2, 1, 2, 2, 2],[0, 0, 1, 0, 2, 0, 3, 0, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3, 7, 3, 8, 3, 7, 4, 8, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 9, 2, 10, 2, 9, 3, 10, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 9, 2, 10, 2, 9, 3, 10, 3],[7, 0, 8, 0, 9, 0, 6, 1, 10, 1, 6, 2, 7, 3, 0, 5, 1, 5, 0, 6, 1, 6],[4, 0, 5, 0, 0, 1, 1, 1, 0, 2, 0, 3, 1, 4, 2, 4, 3, 4, 5, 4, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 7, 6, 8, 6, 6, 7, 9, 7, 7, 8, 8, 8, 9, 8],[0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 4, 2, 5, 2, 1, 3, 2, 3, 4, 3],[10, 0, 11, 0, 9, 1, 11, 1, 9, 2, 11, 2, 10, 3, 0, 6, 1, 6, 0, 7, 1, 7],[2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 2, 3, 2, 4, 7, 6, 8, 6, 9, 6],[0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 4, 2, 5, 2, 3, 3, 4, 3, 4, 4],[1, 0, 6, 1, 0, 2, 6, 2, 0, 3, 1, 3, 2, 3, 7, 3, 4, 4, 6, 4, 4, 5, 6, 5],[0, 0, 1, 0, 2, 0, 18, 6, 18, 7, 20, 7, 18, 8, 19, 8, 20, 8, 20, 9],[2, 0, 6, 0, 8, 0, 0, 1, 1, 1, 6, 1, 9, 1, 2, 2, 6, 2, 8, 2],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 4, 2, 5, 2, 5, 3],[7, 0, 8, 0, 9, 0, 1, 2, 2, 2, 0, 3, 1, 3, 1, 4, 2, 4],[4, 0, 5, 0, 6, 0, 1, 1, 0, 2, 0, 3, 1, 3, 2, 3, 1, 4],[7, 0, 8, 0, 9, 0, 9, 1, 7, 2, 9, 2, 0, 3, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 2, 3, 3, 3, 5, 3],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 5, 1, 1, 2, 6, 2, 2, 3, 5, 3, 4, 4],[5, 0, 6, 0, 5, 1, 6, 1, 1, 2, 2, 2, 0, 3, 3, 3, 0, 4, 0, 5, 1, 5],[6, 0, 7, 0, 5, 1, 8, 1, 8, 2, 7, 3, 8, 3, 0, 4, 1, 4, 0, 5, 1, 5],[6, 0, 5, 1, 6, 1, 6, 2, 7, 2, 0, 6, 1, 6, 0, 7, 1, 7],[0, 0, 1, 0, 0, 1, 1, 1, 8, 3, 9, 4, 9, 5, 6, 6, 9, 6, 7, 7, 8, 7],[4, 0, 5, 0, 6, 1, 5, 2, 0, 3, 1, 3, 4, 3, 5, 3, 1, 4, 3, 4],[1, 0, 0, 1, 2, 1, 1, 2, 5, 2, 4, 3, 6, 3, 5, 4, 6, 4, 5, 5],[3, 0, 4, 0, 5, 0, 0, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3],[1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 5, 3, 6, 3, 7, 3],[5, 0, 0, 1, 6, 1, 0, 2, 6, 2, 0, 3, 5, 3, 6, 3, 2, 4],[2, 0, 3, 1, 6, 1, 7, 1, 0, 2, 3, 2, 6, 2, 7, 2, 0, 3, 1, 3, 2, 3],[3, 0, 1, 1, 4, 1, 5, 2, 0, 3, 5, 3, 0, 4, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 0, 1, 5, 1, 1, 2, 4, 2, 5, 2, 1, 3, 2, 3],[3, 0, 4, 1, 5, 1, 1, 2, 4, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 9, 3, 10, 3, 9, 4, 10, 4],[1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 4, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 4, 0, 0, 1, 2, 1, 3, 1, 5, 1, 0, 2, 6, 2, 3, 3, 5, 3, 4, 4],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 3, 4, 4, 4, 5, 4],[7, 0, 9, 0, 7, 1, 9, 1, 7, 2, 8, 2, 9, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 0, 1, 1, 1, 5, 1, 4, 2, 5, 2, 3, 3, 5, 3, 3, 4, 4, 4],[5, 0, 6, 0, 0, 1, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 4, 2, 6, 2, 4, 3, 5, 3],[1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 5, 1, 3, 2, 5, 2, 4, 3],[0, 0, 0, 1, 5, 1, 7, 1, 0, 2, 5, 2, 7, 2, 5, 3, 6, 3, 7, 3],[0, 0, 1, 0, 0, 1, 2, 1, 3, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 0, 1, 1, 1, 2, 1, 8, 2, 7, 3, 9, 3, 8, 4, 9, 4, 8, 5],[2, 0, 0, 1, 1, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 2, 2, 5, 2],[5, 0, 6, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 2, 2, 6, 2],[8, 0, 9, 0, 8, 1, 9, 1, 1, 3, 2, 3, 0, 4, 1, 4, 1, 5],[4, 0, 2, 1, 4, 1, 5, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 7, 2, 8, 2, 1, 3, 7, 3, 8, 3],[0, 0, 5, 0, 0, 1, 5, 1, 0, 2, 5, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4],[0, 0, 2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 2, 2, 5, 2, 3, 3, 4, 3],[0, 0, 0, 1, 4, 1, 2, 2, 5, 2, 2, 3, 6, 3, 2, 4, 3, 4, 6, 4, 4, 5, 5, 5],[8, 0, 9, 0, 8, 1, 9, 1, 1, 3, 2, 3, 0, 4, 2, 4, 0, 5, 0, 6, 1, 6, 2, 6],[5, 0, 6, 0, 7, 0, 5, 1, 7, 1, 0, 2, 5, 2, 7, 2, 0, 3, 0, 4],[7, 0, 0, 1, 1, 1, 2, 1, 8, 1, 0, 2, 1, 2, 3, 2, 4, 2, 5, 2, 2, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 8, 2, 9, 2, 10, 2, 8, 3],[4, 0, 5, 0, 6, 0, 3, 1, 6, 1, 0, 2, 0, 3, 3, 3, 0, 4, 1, 4],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 6, 3, 6, 4, 3, 5, 5, 5],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 2, 4],[2, 0, 1, 1, 3, 1, 0, 2, 4, 2, 0, 3, 5, 3, 0, 4, 0, 5, 5, 5],[0, 0, 1, 0, 1, 1, 3, 1, 7, 1, 8, 1, 2, 2, 3, 2, 7, 2, 8, 2],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 5, 4, 7, 4, 4, 5, 7, 5, 4, 6, 7, 6, 5, 7],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 2, 3, 4, 3, 4, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 9, 3, 10, 3, 9, 4, 10, 4],[4, 0, 5, 0, 6, 0, 4, 1, 7, 1, 5, 2, 6, 2, 0, 3, 1, 3, 0, 4, 2, 4, 1, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 3, 2, 5, 2, 2, 3, 6, 3, 3, 4, 5, 4, 4, 5],[1, 0, 2, 0, 8, 0, 9, 0, 0, 1, 3, 1, 8, 1, 9, 1, 3, 2, 2, 3, 3, 3],[2, 0, 1, 1, 3, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 4, 4, 5, 4],[3, 0, 4, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 2, 0, 3, 1, 3],[0, 0, 3, 0, 1, 1, 2, 1, 5, 1, 2, 2, 6, 2, 3, 3, 5, 3],[7, 0, 8, 0, 6, 1, 9, 1, 6, 2, 9, 2, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4, 2, 4],[1, 0, 3, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 2, 2, 6, 2, 6, 3],[3, 0, 4, 0, 5, 0, 2, 1, 6, 1, 1, 2, 5, 2, 6, 2, 0, 3, 0, 4, 3, 4, 2, 5],[3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 5, 2, 0, 3, 4, 3],[3, 0, 4, 0, 2, 1, 5, 1, 5, 2, 1, 3, 4, 3, 0, 4, 1, 4, 3, 4],[8, 0, 9, 0, 10, 0, 0, 5, 1, 5, 2, 5, 0, 6, 0, 7, 1, 7, 2, 7],[5, 0, 6, 0, 7, 0, 5, 1, 8, 1, 8, 2, 7, 3, 0, 4, 1, 4, 0, 5, 1, 5],[5, 0, 3, 1, 4, 1, 6, 1, 7, 1, 5, 2, 1, 4, 0, 5, 2, 5, 0, 7, 1, 7, 2, 7],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 3, 2, 4, 2, 2, 4, 4, 4],[2, 0, 3, 0, 4, 0, 2, 1, 5, 1, 2, 2, 5, 2, 0, 3, 1, 3, 6, 3, 4, 4, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 5, 3, 5, 4, 8, 4, 6, 5, 7, 5, 8, 5],[6, 0, 0, 1, 6, 1, 7, 1, 0, 2, 8, 2, 0, 3, 6, 3, 7, 3, 6, 4],[7, 0, 8, 0, 7, 1, 8, 1, 0, 3, 1, 3, 2, 3, 2, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 9, 4, 10, 4, 9, 5, 10, 5],[4, 0, 2, 1, 3, 1, 5, 1, 0, 2, 1, 2, 0, 3, 5, 3, 1, 4, 2, 4, 3, 4],[0, 0, 0, 1, 1, 1, 0, 2, 6, 2, 5, 3, 6, 3, 7, 3],[2, 0, 1, 1, 6, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 2, 8, 2],[9, 0, 10, 0, 11, 0, 11, 1, 9, 2, 10, 2, 11, 2, 0, 5, 1, 5, 0, 6, 1, 6],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 1, 3, 2, 3, 6, 5, 7, 5, 5, 6, 7, 6, 6, 7],[6, 0, 5, 1, 6, 1, 7, 1, 4, 2, 7, 2, 0, 3, 1, 3, 4, 3, 5, 3, 0, 4, 1, 4],[4, 0, 5, 0, 4, 1, 6, 1, 0, 2, 1, 2, 6, 2, 7, 2, 0, 3, 1, 3],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 7, 2, 8, 2, 0, 4, 0, 5, 0, 6],[2, 0, 1, 1, 2, 1, 3, 1, 4, 2, 0, 3, 1, 3, 5, 3, 1, 4, 4, 4],[3, 0, 4, 0, 5, 1, 2, 2, 3, 2, 4, 2, 0, 3, 3, 3, 1, 4, 1, 5],[5, 0, 0, 1, 2, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3],[3, 0, 5, 0, 0, 1, 3, 1, 0, 2, 1, 2, 2, 2, 1, 3],[3, 0, 0, 1, 2, 1, 4, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3, 4, 3],[1, 0, 6, 0, 0, 1, 2, 1, 7, 1, 8, 1, 1, 2, 6, 2],[1, 0, 0, 1, 1, 1, 10, 6, 11, 6, 11, 7, 12, 7, 7, 8, 8, 8, 10, 8, 11, 8],[3, 0, 4, 0, 5, 0, 2, 1, 6, 1, 5, 2, 6, 2, 2, 3, 4, 3, 5, 3, 0, 4],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 9, 3, 10, 3, 9, 4, 10, 4],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 8, 1, 9, 1, 2, 2, 3, 2, 8, 2, 9, 2],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 8, 2, 6, 3, 7, 3, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 0, 1, 3, 1, 1, 2, 5, 2, 6, 2, 3, 3, 5, 3, 4, 4],[0, 0, 1, 0, 2, 0, 3, 1, 0, 2, 3, 2, 4, 2, 3, 3, 4, 3, 3, 4],[4, 0, 5, 0, 6, 0, 6, 1, 4, 2, 6, 2, 4, 3, 5, 3, 0, 5, 1, 5, 0, 6, 1, 6],[4, 0, 5, 0, 3, 1, 5, 1, 3, 2, 0, 3, 1, 3, 0, 4, 1, 4, 3, 4, 4, 4],[2, 0, 1, 1, 2, 1, 4, 1, 0, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3],[1, 0, 5, 0, 0, 1, 1, 1, 1, 2, 7, 2, 5, 6, 6, 6, 7, 6, 6, 7],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 1, 1, 6, 1, 3, 2, 5, 2, 4, 3],[6, 0, 7, 0, 6, 1, 7, 1, 0, 5, 1, 5, 2, 5, 0, 6, 2, 6, 0, 7, 2, 7],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 5, 1, 5, 2, 2, 4, 3, 4, 4, 4],[6, 0, 7, 0, 6, 1, 7, 1, 2, 3, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6, 2, 6],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 8, 0, 9, 0, 10, 0, 0, 1, 0, 2, 1, 2, 2, 2],[0, 0, 1, 0, 3, 0, 0, 1, 2, 1, 3, 1, 4, 1, 0, 2, 4, 2, 5, 2, 5, 3, 6, 3],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 5, 1, 2, 3, 4, 3, 3, 4],[4, 0, 4, 1, 6, 1, 4, 2, 7, 2, 0, 3, 1, 3, 5, 3, 6, 3, 0, 4, 1, 4],[5, 0, 7, 0, 4, 1, 7, 1, 5, 2, 7, 2, 1, 4, 0, 5, 1, 5, 2, 5],[4, 0, 5, 0, 6, 1, 2, 2, 4, 2, 6, 2, 0, 3, 2, 3, 3, 3, 5, 3, 0, 4],[0, 0, 1, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 2, 3, 4, 3],[7, 0, 8, 0, 6, 1, 9, 1, 6, 2, 7, 3, 8, 3, 9, 3, 0, 5, 0, 6, 1, 6, 0, 7],[0, 0, 1, 0, 1, 1, 3, 1, 5, 1, 5, 2, 6, 3, 7, 3, 5, 4],[1, 0, 3, 0, 0, 1, 3, 1, 1, 2, 3, 2, 7, 3, 6, 4, 8, 4, 6, 6, 7, 6, 8, 6],[5, 0, 1, 1, 2, 1, 0, 2, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 3, 4, 4, 3, 5],[1, 0, 2, 0, 5, 1, 0, 2, 2, 2, 3, 2, 5, 2, 1, 3, 5, 3],[1, 0, 0, 1, 2, 1, 0, 2, 3, 2, 0, 3, 1, 3, 3, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 1, 4, 4, 4, 5, 4, 3, 5],[4, 0, 5, 1, 6, 1, 0, 2, 4, 2, 1, 3, 2, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 8, 1, 5, 2, 7, 2, 5, 3, 6, 3],[5, 0, 1, 1, 5, 1, 0, 2, 6, 2, 0, 3, 4, 3, 5, 3, 1, 4, 5, 4, 1, 5, 4, 5],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 4, 1, 6, 1, 1, 2, 3, 2, 2, 3],[5, 0, 6, 0, 0, 1, 5, 1, 8, 1, 0, 2, 1, 2, 5, 2, 8, 2, 1, 3, 6, 3],[7, 0, 8, 0, 8, 1, 5, 2, 8, 2, 0, 3, 1, 3, 6, 3, 7, 3, 0, 4, 1, 4],[8, 0, 9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 1, 2, 2, 2, 1, 3],[4, 0, 0, 1, 4, 1, 0, 2, 5, 2, 2, 3, 3, 3, 5, 3, 2, 4, 3, 4, 4, 4],[3, 0, 5, 0, 6, 1, 5, 2, 0, 3, 0, 4, 3, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 7, 5, 8, 5, 5, 6, 6, 6, 7, 6, 6, 7],[1, 0, 2, 0, 8, 0, 9, 0, 10, 0, 0, 1, 1, 1, 1, 2, 2, 2],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 3, 3, 2, 4, 3, 4],[1, 0, 2, 0, 0, 1, 1, 1, 3, 2, 4, 2, 4, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 5, 1, 6, 1, 1, 2, 2, 2, 5, 2, 6, 2, 2, 3],[5, 0, 1, 1, 5, 1, 0, 2, 1, 2, 5, 2, 0, 3, 2, 3, 1, 4],[3, 0, 2, 1, 4, 1, 5, 1, 3, 2, 3, 3, 0, 4, 2, 4, 1, 5],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 5, 2, 0, 3, 4, 3, 0, 4],[1, 0, 9, 0, 10, 0, 0, 1, 1, 1, 9, 1, 10, 1, 1, 2, 2, 2],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 5, 3, 2, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 3, 7, 4, 6, 5, 7, 5, 8, 5],[0, 0, 3, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3],[1, 0, 7, 0, 9, 0, 0, 1, 2, 1, 6, 1, 9, 1, 0, 2, 2, 2, 8, 2, 9, 2, 1, 3],[1, 0, 6, 0, 0, 1, 2, 1, 5, 1, 0, 2, 1, 2, 7, 2, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 1, 2, 5, 2, 2, 3, 3, 4, 4, 4, 5, 4],[7, 0, 8, 0, 7, 1, 8, 1, 0, 3, 1, 3, 0, 4, 0, 5, 2, 5, 1, 6, 2, 6],[3, 0, 5, 0, 6, 0, 1, 1, 3, 1, 1, 2, 4, 2, 0, 3, 3, 3, 0, 4, 2, 4, 1, 5],[0, 0, 2, 0, 0, 1, 2, 1, 9, 1, 10, 1, 0, 2, 1, 2, 2, 2, 9, 2, 10, 2],[3, 0, 2, 1, 4, 1, 5, 2, 0, 3, 5, 3, 0, 4, 1, 4, 2, 4, 4, 4, 5, 4],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 2, 2, 3, 2, 1, 3],[5, 0, 6, 0, 7, 0, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 5, 2, 7, 2, 0, 3, 1, 3],[2, 0, 4, 0, 5, 0, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[7, 0, 9, 0, 6, 1, 9, 1, 7, 2, 9, 2, 2, 3, 0, 4, 1, 4, 3, 4, 4, 4, 2, 5],[3, 0, 5, 0, 3, 1, 6, 1, 0, 2, 1, 2, 6, 2, 3, 3, 6, 3, 3, 4, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 10, 1, 11, 1, 0, 2, 2, 2, 10, 2, 11, 2, 1, 3, 2, 3],[6, 0, 7, 0, 1, 1, 5, 1, 8, 1, 0, 2, 1, 2, 2, 2, 5, 2, 7, 2, 6, 3],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 5, 6, 5, 6, 6, 7, 6, 5, 7, 6, 7],[5, 0, 6, 0, 7, 0, 5, 1, 7, 1, 0, 2, 1, 2, 2, 2, 5, 2, 7, 2],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 2, 2, 5, 2, 3, 3, 4, 3],[0, 0, 0, 1, 5, 1, 6, 1, 7, 1, 0, 2, 3, 2, 1, 3, 2, 3],[3, 0, 4, 1, 0, 2, 1, 2, 3, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 6, 2, 2, 3, 4, 3, 5, 3, 4, 4],[0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 4, 2, 2, 4, 3, 4, 4, 4],[1, 0, 0, 1, 1, 1, 3, 1, 4, 1, 1, 2, 4, 2, 5, 2, 2, 3, 4, 4],[1, 0, 1, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 3],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 3, 3, 4, 3, 5, 4, 6, 4, 6, 5, 6, 6],[2, 0, 3, 0, 1, 1, 5, 1, 4, 2, 0, 3, 4, 3, 0, 4, 3, 4, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 6, 3, 7, 3, 8, 3],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 1, 4, 3, 4],[0, 0, 1, 0, 13, 0, 0, 1, 1, 1, 13, 1, 14, 1, 14, 2, 15, 2, 14, 3],[7, 0, 6, 1, 8, 1, 5, 2, 8, 2, 6, 3, 7, 3, 0, 4, 2, 4, 1, 5, 1, 6],[7, 0, 0, 1, 7, 1, 8, 1, 0, 2, 9, 2, 0, 3, 7, 3, 8, 3, 7, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 1, 4, 2, 4, 3, 4],[4, 0, 0, 1, 2, 1, 3, 1, 5, 1, 0, 2, 1, 2, 0, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 7, 2, 1, 3, 6, 3, 8, 3, 6, 4, 7, 4, 7, 5],[7, 0, 0, 1, 2, 1, 7, 1, 0, 2, 3, 2, 6, 2, 8, 2, 0, 3, 2, 3, 7, 3, 7, 4],[5, 0, 4, 1, 6, 1, 7, 2, 5, 5, 6, 5, 0, 6, 1, 6, 2, 6, 4, 6, 5, 6],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 2, 11, 5, 12, 5, 11, 6, 12, 6],[1, 0, 0, 1, 4, 1, 1, 2, 3, 2, 4, 2, 5, 3],[0, 0, 1, 0, 0, 1, 1, 1, 4, 3, 5, 3, 4, 4, 4, 5, 7, 5, 5, 6, 6, 6],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 2, 5],[0, 0, 0, 1, 2, 1, 3, 1, 1, 2, 4, 2, 3, 3, 4, 3, 3, 4],[0, 0, 1, 0, 6, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 1, 5, 2, 7, 2, 8, 2],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 2, 2, 2, 3, 3, 3],[3, 0, 5, 0, 6, 0, 2, 1, 5, 1, 1, 2, 0, 3, 4, 3, 1, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 8, 3, 9, 3, 8, 4, 9, 4],[2, 0, 8, 0, 9, 0, 0, 1, 1, 1, 2, 1, 8, 1, 9, 1, 1, 2],[6, 0, 7, 0, 4, 1, 7, 1, 4, 2, 7, 2, 0, 3, 1, 3, 4, 3, 6, 3, 0, 4, 1, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 8, 2, 9, 2, 0, 3, 1, 3, 8, 3, 9, 3],[0, 0, 1, 0, 6, 0, 7, 0, 0, 1, 2, 1, 7, 1, 8, 1, 1, 2, 6, 2, 7, 2],[0, 0, 1, 0, 0, 1, 1, 1, 10, 2, 11, 2, 12, 2, 12, 3, 10, 4, 11, 4, 12, 4],[6, 0, 1, 1, 5, 1, 7, 1, 1, 2, 5, 2, 8, 2, 0, 3, 2, 3, 6, 3, 7, 3],[6, 0, 7, 0, 2, 1, 7, 1, 8, 1, 0, 2, 1, 2, 3, 2, 4, 2, 8, 2, 2, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 4, 7, 4, 6, 5, 8, 5, 8, 6, 6, 7, 7, 7, 8, 7],[3, 0, 4, 0, 4, 1, 5, 1, 0, 2, 1, 2, 4, 2, 0, 3, 4, 3, 1, 4, 3, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 4, 5, 5, 5, 6, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 6, 6, 7, 6, 8, 6],[0, 0, 0, 1, 0, 2, 4, 2, 5, 2, 1, 3, 2, 3, 5, 3, 5, 4],[8, 0, 9, 0, 2, 1, 8, 1, 9, 1, 0, 2, 1, 2, 2, 2, 1, 3],[7, 0, 8, 0, 7, 1, 8, 1, 0, 4, 1, 4, 3, 4, 1, 5, 2, 5, 3, 5, 2, 6],[2, 0, 1, 1, 0, 2, 1, 2, 1, 3, 2, 3, 5, 3, 6, 4, 7, 4, 6, 5],[0, 0, 1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 3, 1, 5, 1, 5, 2],[4, 0, 2, 1, 5, 1, 1, 2, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 2, 5, 2, 1, 3, 4, 3],[0, 0, 4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 1, 2],[0, 0, 1, 0, 0, 1, 1, 1, 11, 3, 12, 3, 10, 4, 12, 4, 10, 5, 12, 5, 11, 6],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[6, 0, 7, 0, 0, 1, 1, 1, 2, 1, 5, 1, 8, 1, 1, 2, 5, 2, 8, 2, 6, 3, 7, 3],[6, 0, 8, 0, 0, 1, 1, 1, 2, 1, 5, 1, 9, 1, 6, 2, 8, 2, 7, 3],[2, 0, 3, 0, 0, 1, 1, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 3, 6, 3, 5, 4, 6, 4, 6, 5],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 3, 4, 3, 3, 4, 4, 4],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 3, 3, 6, 3, 4, 4, 6, 4],[6, 0, 7, 0, 6, 1, 7, 1, 0, 5, 0, 6, 1, 6, 0, 7, 2, 7],[5, 0, 4, 1, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 5, 2, 6, 2],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 6, 2, 1, 3, 6, 3, 6, 4, 3, 5, 4, 5, 5, 5],[1, 0, 2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 9, 2, 10, 2, 2, 3, 9, 3, 10, 3],[2, 0, 4, 0, 5, 1, 1, 2, 5, 2, 0, 3, 1, 3, 3, 3, 5, 3],[2, 0, 3, 0, 9, 0, 0, 1, 3, 1, 9, 1, 0, 2, 3, 2, 9, 2, 0, 3, 2, 3],[3, 0, 4, 0, 1, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 6, 4, 7, 4, 6, 5, 7, 5],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 3, 3, 3, 4, 6, 4, 4, 5, 5, 5, 6, 5],[1, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 2, 5, 2, 2, 3, 4, 3, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 5, 6, 6, 6, 7, 6],[7, 0, 6, 1, 7, 1, 8, 1, 0, 2, 1, 2, 6, 2, 8, 2, 9, 2, 0, 3, 1, 3],[5, 0, 6, 0, 0, 1, 4, 1, 7, 1, 0, 2, 4, 2, 5, 2, 6, 2, 0, 3],[2, 0, 1, 1, 3, 1, 6, 1, 7, 1, 8, 1, 0, 2, 1, 2, 3, 2, 4, 2],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 6, 1, 7, 1, 8, 1, 0, 2, 2, 2],[6, 0, 2, 1, 6, 1, 1, 2, 3, 2, 6, 2, 0, 3, 3, 3, 1, 4, 3, 4, 2, 5],[5, 0, 6, 0, 0, 1, 1, 1, 5, 1, 7, 1, 0, 2, 1, 2, 7, 2, 8, 2],[10, 0, 11, 0, 1, 1, 10, 1, 11, 1, 1, 2, 2, 2, 0, 3, 1, 3],[1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3],[0, 0, 2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 1, 2, 3, 2, 2, 3],[0, 0, 1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 8, 2, 0, 3, 2, 3, 8, 3, 8, 4],[2, 0, 0, 1, 1, 1, 2, 1, 6, 1, 7, 2, 6, 3, 7, 3, 8, 3],[8, 0, 7, 1, 9, 1, 6, 2, 9, 2, 7, 3, 8, 3, 0, 4, 1, 4, 2, 4, 1, 5],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 2, 2, 7, 2, 7, 3, 6, 4, 8, 4],[6, 0, 5, 1, 7, 1, 5, 2, 6, 2, 0, 4, 2, 4, 0, 5, 3, 5, 0, 6, 2, 6],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 4, 1, 1, 2, 2, 2, 4, 2, 5, 2, 5, 3, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 3, 4, 3, 5, 3, 4, 4],[3, 0, 2, 1, 3, 1, 4, 1, 0, 2, 0, 3, 3, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 2, 0, 3, 1, 3, 2, 3],[5, 0, 6, 0, 4, 1, 7, 1, 4, 2, 4, 3, 5, 3, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 2, 1, 3, 1, 0, 2, 2, 2, 0, 3, 1, 3, 8, 7, 9, 7, 8, 8, 9, 8],[0, 0, 2, 0, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 2, 3, 3, 3],[1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 3, 7, 4, 6, 5, 8, 5, 6, 6, 8, 6, 7, 7],[5, 0, 2, 1, 6, 1, 0, 2, 6, 2, 5, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 7, 5, 8, 5, 7, 6, 8, 6],[8, 0, 9, 0, 7, 1, 8, 1, 8, 2, 0, 4, 1, 4, 0, 5, 1, 5],[5, 0, 0, 1, 0, 2, 6, 2, 7, 2, 0, 3, 4, 3, 6, 3, 4, 4, 5, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 8, 6, 9, 6, 8, 7, 9, 7],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 4, 3, 4, 5, 4, 4, 5],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 5, 3],[1, 0, 0, 1, 1, 1, 2, 1, 3, 1, 0, 2, 4, 2, 5, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 5, 0, 1, 1, 6, 1, 0, 2, 5, 2, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 3, 1, 8, 1, 9, 1, 0, 2, 1, 2, 2, 2, 8, 2, 9, 2],[6, 0, 7, 0, 8, 0, 0, 3, 2, 3, 0, 4, 1, 4, 2, 4, 1, 5],[5, 0, 6, 0, 7, 0, 5, 1, 7, 1, 5, 2, 7, 2, 0, 5, 0, 6, 0, 7],[0, 0, 1, 0, 0, 1, 1, 1, 10, 3, 11, 3, 12, 3, 12, 4, 10, 5, 11, 5, 12, 5],[7, 0, 8, 0, 7, 1, 8, 1, 1, 3, 2, 3, 0, 4, 3, 4, 3, 5, 2, 6, 3, 6],[1, 0, 2, 0, 3, 0, 0, 1, 5, 1, 0, 2, 5, 2, 4, 3, 5, 3],[0, 0, 1, 0, 1, 1, 2, 1, 5, 1, 5, 2, 6, 2, 5, 3],[4, 0, 0, 1, 1, 1, 2, 1, 3, 1, 6, 1, 4, 2, 6, 2, 7, 3],[6, 0, 7, 0, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 7, 2, 0, 3, 1, 3, 4, 3, 6, 3],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 7, 1, 1, 2, 2, 2, 6, 2, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 2, 8, 2, 6, 3, 8, 3, 6, 4, 7, 4, 6, 5],[2, 0, 3, 0, 4, 0, 4, 1, 0, 2, 2, 2, 3, 2, 0, 3, 1, 3],[9, 0, 8, 1, 11, 1, 8, 2, 11, 2, 9, 3, 11, 3, 0, 6, 1, 6, 2, 6],[2, 0, 1, 1, 2, 1, 0, 2, 6, 2, 1, 3, 2, 3, 3, 3, 6, 3, 2, 4, 6, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 5, 1, 6, 1, 7, 1, 0, 2, 2, 2],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 1, 1, 5, 1, 8, 1, 5, 2, 8, 2, 6, 3, 7, 3],[8, 0, 9, 0, 8, 1, 9, 1, 0, 6, 2, 6, 0, 7, 2, 7, 0, 8, 1, 8, 2, 8],[9, 0, 10, 0, 11, 0, 8, 1, 11, 1, 9, 2, 10, 2, 0, 7, 1, 7, 0, 8, 1, 8],[4, 0, 5, 0, 6, 0, 0, 3, 1, 3, 0, 4, 2, 4, 3, 4, 1, 5, 2, 5],[0, 0, 12, 0, 0, 1, 1, 1, 2, 1, 12, 1, 0, 2, 2, 2, 12, 2, 2, 3],[4, 0, 6, 0, 5, 1, 1, 2, 3, 2, 0, 3, 3, 3, 1, 4, 3, 4],[7, 0, 8, 0, 9, 0, 9, 1, 0, 2, 7, 2, 8, 2, 9, 2, 0, 3, 0, 4],[2, 0, 1, 1, 3, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 4, 3, 5, 3],[0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 3, 14, 4, 15, 4, 14, 5, 15, 5],[6, 0, 5, 1, 7, 1, 4, 2, 5, 2, 7, 2, 8, 2, 0, 5, 0, 6, 0, 7],[1, 0, 2, 0, 9, 0, 10, 0, 0, 1, 1, 1, 9, 1, 10, 1, 1, 2],[1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 5, 2, 6, 2, 7, 2],[6, 0, 7, 0, 6, 1, 7, 1, 0, 5, 2, 5, 3, 5, 0, 6, 3, 6, 0, 7, 1, 7, 2, 7],[0, 0, 0, 1, 1, 1, 4, 2, 6, 2, 1, 3, 5, 3, 1, 4, 5, 4, 2, 5, 3, 5],[0, 0, 1, 0, 8, 0, 0, 1, 1, 1, 7, 1, 8, 1, 9, 1, 7, 2],[2, 0, 3, 0, 1, 1, 6, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4, 3, 4, 4, 4],[7, 0, 6, 1, 7, 1, 0, 2, 2, 2, 6, 2, 0, 3, 2, 3, 0, 4, 1, 4, 2, 4],[1, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 2, 3, 3, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 4, 2, 2, 3, 4, 3, 5, 3],[0, 0, 1, 0, 1, 1, 2, 1, 5, 1, 6, 1, 0, 2, 1, 2, 5, 2, 6, 2, 0, 3],[1, 0, 2, 0, 0, 1, 1, 1, 5, 1, 5, 2, 5, 3, 5, 4, 5, 5],[9, 0, 10, 0, 9, 1, 10, 1, 1, 3, 0, 4, 1, 4, 2, 4, 0, 5],[8, 0, 9, 0, 10, 0, 8, 1, 10, 1, 8, 2, 10, 2, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 2, 0, 11, 0, 12, 0, 0, 1, 1, 1, 10, 1, 13, 1, 0, 2, 11, 2, 12, 2],[2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 3, 6, 4, 5, 5, 6, 5, 5, 6],[2, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 5, 3, 4, 4, 5, 4, 6, 4],[2, 0, 5, 0, 1, 1, 2, 1, 5, 1, 1, 2, 5, 2, 0, 3],[4, 0, 1, 1, 2, 1, 3, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3, 0, 4],[4, 0, 3, 1, 4, 2, 0, 3, 2, 3, 4, 3, 5, 3, 1, 4, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 8, 4, 5, 5, 8, 5, 5, 6, 6, 6, 7, 6],[0, 0, 1, 0, 2, 0, 3, 2, 4, 3, 5, 3, 4, 4],[0, 0, 2, 0, 7, 0, 8, 0, 9, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2],[1, 0, 2, 0, 0, 1, 1, 2, 3, 2, 4, 2, 1, 3, 3, 3, 4, 3, 2, 4, 3, 4, 4, 4],[6, 0, 5, 1, 1, 2, 2, 2, 3, 2, 5, 2, 0, 3, 1, 3, 2, 3],[2, 0, 1, 1, 2, 1, 3, 1, 5, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4],[5, 0, 6, 0, 0, 1, 3, 1, 4, 1, 6, 1, 1, 2, 4, 2, 5, 2, 1, 3],[0, 0, 1, 0, 7, 0, 8, 0, 0, 1, 1, 1, 7, 1, 9, 1, 9, 2, 8, 3, 9, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 3, 2, 4, 2, 1, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 0, 1, 2, 4, 5, 4, 4, 5, 5, 5],[0, 0, 0, 1, 0, 2, 8, 5, 9, 5, 7, 6, 9, 6, 7, 7, 8, 7, 9, 7, 8, 8],[4, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 0, 3, 3, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 0, 3, 1, 3, 2, 3, 5, 3],[0, 0, 2, 0, 0, 1, 3, 1, 3, 2, 2, 3, 5, 3, 6, 3, 3, 4, 4, 4, 5, 4, 4, 5],[3, 0, 0, 1, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 1, 1, 6, 2, 7, 2, 6, 3, 8, 3, 8, 4, 7, 5],[0, 0, 1, 0, 0, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4, 4, 4],[4, 0, 4, 1, 5, 1, 6, 1, 0, 2, 0, 3, 1, 3, 0, 4],[1, 0, 0, 1, 3, 1, 0, 2, 1, 3, 2, 3, 3, 3, 4, 3, 4, 4],[1, 0, 1, 1, 0, 2, 1, 2, 25, 7, 23, 8, 25, 8, 26, 8, 22, 9, 23, 9, 25, 9, 24, 10],[4, 0, 5, 0, 6, 0, 1, 1, 6, 1, 0, 2, 1, 2, 1, 3, 6, 3, 4, 4],[3, 0, 4, 0, 2, 1, 5, 1, 5, 2, 0, 3, 4, 3, 0, 4, 2, 4, 3, 4, 1, 5],[2, 0, 0, 1, 1, 1, 3, 1, 5, 1, 6, 1, 0, 2, 1, 2, 3, 2, 5, 2, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 8, 1, 6, 2, 9, 2, 9, 3, 8, 4, 9, 4],[3, 0, 4, 0, 5, 0, 0, 1, 4, 1, 0, 2, 2, 2, 3, 2, 0, 3, 1, 3],[0, 0, 0, 1, 6, 1, 0, 2, 5, 2, 7, 2, 6, 3, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 9, 1, 8, 2, 11, 2, 8, 3, 11, 3, 9, 4, 11, 4],[6, 0, 7, 0, 5, 1, 8, 1, 6, 2, 7, 2, 1, 4, 2, 4, 0, 5, 1, 5, 1, 6, 2, 6],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 3, 5, 3, 4, 4, 5, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 0, 2, 1, 2, 2, 2, 4, 3, 5, 3],[7, 0, 7, 1, 8, 1, 9, 1, 0, 2, 1, 2, 8, 2, 0, 3, 1, 3],[5, 0, 1, 1, 5, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 4],[0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 6, 4, 4, 5, 5, 5, 7, 5, 8, 5, 6, 6],[0, 0, 1, 0, 2, 0, 6, 0, 8, 0, 6, 1, 8, 1, 6, 2, 7, 2, 8, 2],[2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4],[1, 0, 3, 0, 0, 1, 3, 1, 4, 1, 5, 1, 0, 2, 1, 2, 1, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 0, 3, 5, 3, 1, 4, 3, 4, 5, 4, 2, 5],[0, 0, 0, 1, 4, 1, 0, 2, 1, 2, 3, 2, 2, 3, 3, 3],[7, 0, 6, 1, 8, 1, 9, 1, 0, 2, 6, 2, 0, 3, 1, 3, 7, 3, 9, 3, 1, 4, 8, 4],[2, 0, 5, 0, 6, 0, 5, 1, 6, 1, 1, 2, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 6, 4, 7, 4, 5, 5, 8, 5, 5, 7, 6, 7, 7, 7],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 3, 2, 5, 2, 6, 2, 2, 3, 3, 3, 5, 3, 6, 3],[0, 0, 1, 0, 2, 0, 2, 1, 3, 1, 5, 1, 6, 1, 1, 2, 2, 3, 5, 3],[4, 0, 5, 0, 6, 0, 6, 1, 5, 2, 6, 2, 4, 3, 0, 4, 1, 4, 2, 4],[6, 0, 6, 1, 7, 1, 8, 1, 7, 2, 0, 5, 1, 5, 0, 6, 1, 6],[3, 0, 5, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 2, 1, 2, 3, 2, 1, 3, 2, 3],[8, 0, 9, 0, 10, 0, 10, 1, 8, 2, 9, 2, 10, 2, 0, 5, 1, 5, 2, 5],[6, 0, 7, 0, 1, 1, 5, 1, 8, 1, 0, 2, 2, 2, 6, 2, 7, 2, 2, 3, 3, 3],[9, 0, 10, 0, 1, 1, 2, 1, 3, 1, 9, 1, 10, 1, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 3, 0, 4, 0, 0, 2, 1, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 4, 5, 5, 5, 6, 5],[5, 0, 6, 0, 1, 1, 2, 1, 6, 1, 0, 2, 2, 2, 6, 2, 0, 3, 5, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 2, 2, 3, 2, 6, 4, 7, 4, 6, 5, 7, 5],[3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2, 5, 2, 0, 3, 2, 3, 0, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 3, 1, 3, 2, 3, 6, 4, 7, 4, 5, 5, 6, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 5, 4, 6, 4, 4, 5, 5, 5],[8, 0, 9, 0, 8, 1, 9, 1, 0, 2, 1, 2, 1, 3, 2, 3, 1, 4],[0, 0, 4, 0, 5, 0, 1, 1, 2, 1, 4, 1, 5, 1, 2, 2, 3, 2],[1, 0, 2, 0, 8, 0, 0, 1, 1, 1, 9, 1, 10, 1, 1, 2, 2, 2, 8, 2, 9, 2, 8, 3],[4, 0, 5, 0, 2, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 4],[10, 0, 11, 0, 0, 1, 2, 1, 10, 1, 11, 1, 0, 2, 2, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 0, 1, 3, 1, 7, 1, 0, 2, 3, 2, 7, 2, 1, 3, 3, 3, 7, 3],[3, 0, 1, 1, 5, 1, 1, 2, 6, 2, 0, 3, 3, 3, 5, 3, 6, 3, 0, 4, 1, 4],[0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 5, 2, 1, 3, 5, 3, 4, 4, 5, 4],[0, 0, 1, 1, 2, 1, 1, 2, 4, 2, 5, 3, 3, 4, 4, 4],[0, 0, 4, 0, 0, 1, 4, 1, 5, 1, 0, 2, 6, 2, 4, 3, 6, 3, 5, 4],[0, 0, 1, 0, 0, 1, 3, 2, 1, 3, 3, 3, 4, 3, 2, 4],[1, 0, 2, 1, 3, 1, 0, 2, 4, 2, 0, 3, 5, 3, 1, 4, 2, 4, 4, 4],[6, 0, 7, 0, 5, 1, 8, 1, 1, 2, 5, 2, 7, 2, 0, 3, 1, 3, 2, 3, 6, 3],[5, 0, 2, 1, 4, 1, 5, 1, 1, 2, 6, 2, 0, 3, 1, 4, 2, 4],[8, 0, 9, 1, 0, 2, 1, 2, 6, 2, 9, 2, 0, 3, 1, 3, 6, 3, 7, 3, 8, 3],[0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 4, 2, 4, 4, 5, 4],[6, 0, 7, 0, 6, 1, 7, 1, 1, 3, 2, 3, 0, 4, 3, 4, 0, 5, 0, 6, 1, 6],[5, 0, 6, 0, 1, 1, 2, 1, 3, 1, 6, 1, 0, 2, 6, 2, 5, 3, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 4, 7, 4, 7, 5, 4, 6, 7, 6, 5, 7, 6, 7],[8, 0, 9, 0, 0, 1, 1, 1, 2, 1, 8, 1, 9, 1, 1, 2, 3, 2, 2, 3, 3, 3],[3, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 2, 4],[7, 0, 8, 0, 7, 1, 8, 1, 1, 2, 2, 2, 0, 3, 3, 3, 0, 4, 0, 5, 1, 5],[0, 0, 1, 0, 0, 1, 1, 1, 9, 2, 9, 3, 10, 3, 8, 4, 9, 4],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 5, 3, 0, 4, 2, 4, 1, 5, 2, 5],[1, 0, 0, 1, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2, 5, 2, 8, 2, 6, 3, 7, 3],[6, 0, 8, 1, 8, 2, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4, 1, 5, 4, 5, 2, 6, 3, 6],[1, 0, 2, 0, 0, 1, 3, 1, 8, 1, 9, 1, 3, 2, 8, 2, 9, 2, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 5, 3, 2, 4],[0, 0, 1, 0, 2, 0, 6, 2, 3, 3, 6, 3, 3, 4, 6, 4, 4, 5],[9, 0, 10, 0, 11, 0, 2, 2, 1, 3, 3, 3, 0, 4, 1, 5, 3, 5, 2, 6],[8, 0, 9, 0, 8, 1, 9, 1, 0, 6, 2, 6, 0, 7, 3, 7, 0, 8, 3, 8, 2, 9, 3, 9],[5, 0, 6, 0, 5, 1, 6, 1, 1, 2, 3, 2, 0, 3, 3, 3, 0, 4, 3, 4, 0, 5, 1, 5],[2, 0, 3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 1, 3, 1, 4, 3, 4],[2, 0, 5, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3],[8, 0, 9, 0, 8, 1, 9, 1, 1, 4, 1, 5, 2, 5, 0, 6, 1, 6],[6, 0, 7, 0, 5, 1, 8, 1, 5, 2, 5, 3, 6, 3, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3, 4, 3, 1, 4, 3, 4],[2, 0, 2, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4, 3, 4],[2, 0, 1, 1, 5, 1, 0, 2, 7, 2, 1, 3, 4, 3, 7, 3, 5, 4, 6, 4, 7, 4],[2, 0, 3, 0, 3, 1, 4, 1, 0, 2, 3, 2, 0, 3, 2, 3, 0, 4],[3, 0, 2, 1, 4, 1, 1, 2, 2, 2, 5, 2, 0, 3, 1, 3, 4, 3],[3, 0, 4, 0, 3, 1, 4, 1, 5, 2, 1, 3, 4, 3, 0, 4, 4, 4, 1, 5, 3, 5],[1, 0, 2, 0, 0, 1, 4, 1, 1, 2, 5, 2, 2, 3, 5, 3, 4, 4, 5, 4],[5, 0, 1, 1, 2, 1, 6, 1, 0, 2, 1, 2, 5, 2, 6, 2, 7, 2],[0, 0, 1, 0, 0, 1, 1, 1, 7, 6, 7, 7, 8, 7, 6, 8, 7, 8],[0, 0, 3, 0, 0, 1, 3, 1, 5, 1, 6, 1, 0, 2, 3, 2, 4, 2],[1, 0, 2, 0, 0, 1, 3, 1, 8, 1, 9, 1, 1, 2, 2, 2, 3, 2, 7, 2, 9, 2, 8, 3],[3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 0, 3, 2, 3, 4, 3, 0, 4, 1, 4],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 6, 2, 6, 3, 6, 4],[3, 0, 5, 1, 0, 2, 1, 2, 6, 2, 0, 3, 3, 3, 5, 3, 6, 3, 7, 3, 0, 5, 1, 5],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 5, 2, 6, 2, 7, 2, 1, 3, 2, 3, 3, 3, 3, 4],[2, 0, 0, 1, 2, 1, 3, 2, 0, 3, 1, 3, 3, 3, 3, 4, 4, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 4, 3],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 3, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 6, 2, 6, 3, 6, 4],[0, 0, 1, 0, 3, 0, 1, 1, 4, 1, 1, 2, 5, 2, 2, 3, 4, 3, 3, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 8, 6, 9, 6, 8, 7, 9, 7],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 4, 3],[5, 0, 1, 1, 2, 1, 7, 1, 0, 2, 1, 2, 7, 2, 1, 3, 4, 3, 7, 3],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 2, 7, 2, 4, 3, 7, 3, 5, 4, 6, 4, 7, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 5, 8, 6, 9, 6, 7, 7, 8, 7],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 3, 1, 0, 2, 1, 3, 2, 3, 3, 4],[1, 0, 5, 0, 0, 1, 1, 1, 4, 1, 6, 1, 1, 2, 5, 2, 6, 2],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 2, 1, 6, 1, 0, 2, 1, 2, 4, 2, 6, 2, 5, 3],[8, 0, 9, 0, 1, 1, 2, 1, 8, 1, 9, 1, 0, 2, 3, 2, 3, 3, 2, 4, 3, 4],[7, 0, 6, 1, 7, 1, 7, 2, 8, 2, 0, 6, 1, 6, 0, 7, 1, 7],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 5, 2, 0, 3, 1, 3, 4, 3, 5, 3, 6, 3],[4, 0, 5, 0, 4, 1, 7, 1, 4, 2, 7, 2, 1, 3, 2, 3, 5, 3, 7, 3, 2, 4, 0, 5],[2, 0, 3, 0, 1, 1, 3, 1, 1, 2, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 6, 2, 7, 2, 2, 3, 6, 3, 7, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 5, 2, 6, 2, 4, 3, 6, 3, 5, 4],[3, 0, 1, 1, 2, 1, 3, 1, 4, 1, 0, 2, 0, 3, 5, 3, 1, 4, 5, 4, 2, 5, 3, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4],[7, 0, 8, 0, 6, 1, 7, 1, 7, 2, 8, 2, 0, 3, 1, 3, 8, 3, 0, 4, 1, 4],[0, 0, 1, 0, 1, 1, 2, 1, 9, 1, 10, 1, 1, 2, 9, 2, 10, 2],[3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 5, 2, 5, 3, 0, 4, 1, 4, 2, 5, 3, 5, 4, 5],[3, 0, 3, 1, 4, 1, 5, 1, 0, 3, 5, 3, 1, 4, 2, 4, 3, 4, 2, 5],[1, 0, 2, 0, 0, 1, 0, 2, 4, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[9, 0, 9, 1, 9, 2, 0, 3, 1, 3, 2, 3, 0, 4, 0, 5, 1, 5, 2, 5],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 7, 7, 8, 7, 7, 8, 8, 8],[1, 0, 2, 1, 0, 2, 0, 3, 1, 3, 2, 3, 8, 3, 7, 4, 9, 4, 7, 5, 9, 5, 8, 6],[9, 0, 11, 0, 8, 1, 11, 1, 10, 2, 11, 2, 0, 3, 1, 3, 2, 3],[1, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 2, 2, 5, 2],[10, 0, 11, 1, 12, 1, 8, 2, 10, 2, 1, 3, 2, 3, 8, 3, 0, 4, 3, 4, 1, 5, 2, 5],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[5, 0, 0, 1, 1, 1, 2, 1, 4, 1, 5, 1, 5, 2, 6, 2],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 8, 0, 0, 1, 2, 1, 0, 2, 2, 2],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 2, 3, 3, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 1, 2, 3, 2, 2, 3, 8, 7, 9, 7, 10, 7],[1, 0, 2, 0, 2, 1, 0, 2, 9, 2, 9, 3, 6, 4, 9, 4, 7, 5, 8, 5],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 4, 1, 5, 1, 7, 1, 8, 1, 5, 2, 7, 2],[0, 0, 4, 0, 5, 0, 0, 1, 1, 1, 3, 1, 4, 1, 1, 2, 2, 2, 3, 2, 2, 3],[8, 0, 9, 0, 8, 1, 9, 1, 0, 5, 0, 6, 1, 6, 2, 6, 1, 7],[2, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 5, 3, 2, 4, 3, 4, 5, 4, 4, 5],[2, 0, 3, 0, 0, 1, 1, 1, 5, 1, 0, 2, 1, 2, 3, 2, 6, 2, 4, 3, 6, 3, 5, 4],[2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 5, 3],[7, 0, 8, 0, 7, 1, 8, 1, 0, 2, 2, 2, 3, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[3, 0, 4, 1, 5, 1, 5, 2, 1, 3, 5, 3, 0, 4, 1, 4, 3, 4, 4, 4, 1, 5],[3, 0, 4, 0, 2, 1, 5, 1, 1, 2, 2, 2, 5, 2, 4, 3, 0, 4, 0, 5, 2, 5],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 6, 2, 7, 2, 5, 4, 6, 4, 6, 5, 7, 5],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5],[0, 0, 0, 1, 1, 1, 2, 1, 6, 1, 7, 1, 1, 2, 5, 2, 8, 2, 6, 3, 7, 3],[1, 0, 2, 0, 0, 1, 4, 1, 5, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 3, 2, 4, 2, 4, 3, 5, 3, 3, 4, 4, 4],[4, 0, 1, 1, 2, 1, 4, 1, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 0, 1, 1, 1, 3, 1, 0, 2, 1, 2, 4, 2, 4, 3, 3, 4, 4, 4],[7, 0, 7, 1, 7, 2, 0, 3, 1, 3, 2, 3, 2, 4, 3, 4, 4, 4],[5, 0, 6, 0, 4, 1, 7, 1, 5, 2, 6, 2, 5, 3, 0, 5, 1, 5, 2, 5],[1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 5, 2, 6, 2, 4, 3, 6, 3, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 0, 3, 3, 3, 4, 3],[1, 0, 0, 1, 1, 1, 5, 1, 6, 1, 0, 2, 4, 2, 4, 5, 7, 5, 4, 6, 5, 6, 6, 6],[2, 0, 3, 0, 5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 1, 4, 2, 4],[6, 0, 7, 0, 6, 1, 7, 1, 0, 4, 1, 4, 2, 4, 0, 5, 3, 5, 3, 6, 2, 7],[0, 0, 2, 0, 3, 0, 2, 1, 0, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 5, 3, 2, 4],[0, 0, 1, 0, 6, 0, 7, 0, 0, 1, 3, 1, 6, 1, 7, 1, 1, 2, 2, 2, 3, 2, 2, 3],[3, 0, 2, 1, 5, 1, 5, 2, 0, 3, 6, 3, 1, 4, 4, 4, 5, 4, 2, 5, 4, 5, 5, 5],[4, 0, 3, 1, 5, 1, 6, 2, 0, 3, 1, 3, 3, 3, 5, 3, 0, 4, 1, 4, 2, 4, 4, 4],[2, 0, 5, 0, 1, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 5, 1, 6, 1, 0, 2, 3, 2, 5, 2, 6, 2, 0, 3, 2, 3, 1, 4],[0, 0, 1, 0, 2, 0, 6, 4, 8, 4, 6, 5, 8, 5, 6, 6, 7, 6, 8, 6],[5, 0, 6, 0, 5, 1, 6, 1, 0, 3, 0, 4, 2, 4, 0, 5, 1, 5, 3, 5],[5, 0, 2, 1, 3, 1, 6, 1, 7, 1, 1, 2, 3, 2, 0, 3, 1, 4, 3, 4, 2, 5],[1, 0, 2, 0, 0, 1, 1, 1, 6, 1, 5, 2, 7, 2, 5, 3, 6, 3, 5, 4],[8, 0, 6, 1, 7, 1, 9, 1, 10, 1, 8, 2, 1, 4, 3, 4, 0, 5, 3, 5, 1, 6, 3, 6],[1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 9, 2, 10, 2, 9, 3, 10, 3],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 4, 3, 2, 4],[6, 0, 7, 0, 8, 0, 6, 1, 9, 1, 0, 2, 1, 2, 9, 2, 0, 3, 1, 3, 8, 3],[3, 0, 3, 1, 4, 1, 5, 2, 4, 3, 0, 4, 1, 4, 2, 4, 4, 4],[17, 0, 18, 0, 16, 1, 18, 1, 17, 2, 17, 4, 18, 4, 0, 5, 1, 5, 0, 6, 1, 6],[3, 0, 4, 0, 5, 0, 2, 1, 5, 1, 1, 2, 4, 2, 0, 3, 1, 3],[0, 0, 1, 0, 6, 0, 7, 0, 0, 1, 1, 1, 6, 1, 6, 2, 9, 2, 7, 3, 8, 3],[5, 0, 4, 1, 5, 1, 6, 1, 0, 3, 1, 3, 0, 4, 3, 4, 6, 4, 2, 5, 3, 5, 4, 5],[1, 0, 1, 1, 2, 1, 9, 1, 10, 1, 0, 2, 1, 2, 9, 2, 10, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 4, 7, 4, 8, 4, 6, 5, 6, 6, 7, 6, 8, 6],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 4, 3, 5, 3],[2, 0, 0, 1, 1, 1, 6, 1, 7, 1, 0, 2, 1, 2, 7, 2, 8, 2, 6, 3, 7, 3],[4, 0, 2, 1, 4, 1, 5, 1, 1, 2, 4, 2, 0, 3, 3, 3, 1, 4, 3, 4],[5, 0, 6, 0, 4, 1, 7, 1, 7, 2, 7, 3, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 3, 0, 4, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 2, 4, 2],[7, 0, 5, 1, 7, 1, 1, 2, 7, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 4, 1, 1, 2, 6, 2, 1, 3, 5, 3, 3, 4, 4, 4],[2, 0, 1, 1, 6, 1, 1, 2, 7, 2, 0, 3, 1, 3, 7, 3, 1, 4, 2, 4, 6, 4, 2, 5],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 3, 1, 4, 5, 4, 6, 4, 5, 5],[1, 0, 2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 6, 2, 0, 3, 1, 3, 5, 3],[0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 4, 2, 3, 3, 4, 3],[4, 0, 5, 0, 4, 1, 4, 2, 7, 2, 5, 3, 6, 3, 0, 5, 1, 5, 0, 6, 1, 6],[2, 0, 3, 0, 6, 0, 0, 1, 1, 1, 3, 1, 6, 1, 1, 2, 2, 2, 6, 2],[4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 7, 2, 0, 3, 6, 3, 0, 4, 1, 4],[4, 0, 5, 0, 2, 1, 4, 1, 1, 2, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 0, 2, 1, 2, 4, 2, 0, 3, 3, 3, 4, 3, 0, 4, 1, 4, 2, 4],[9, 0, 10, 0, 11, 0, 0, 1, 1, 1, 0, 2, 1, 2, 8, 2, 11, 2, 8, 3, 9, 3, 10, 3],[3, 0, 4, 0, 1, 1, 3, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 2, 3, 4, 5, 5, 5, 6, 5],[0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 3, 3, 4, 5, 4],[3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2, 5, 2, 1, 3, 3, 3, 4, 3, 2, 4],[2, 0, 3, 0, 1, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 6, 0, 7, 0, 0, 1, 2, 1, 7, 1, 8, 1, 2, 2, 0, 3, 1, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 1, 3, 3, 3],[5, 0, 0, 1, 3, 1, 4, 1, 6, 1, 0, 2, 2, 2, 4, 2, 6, 2, 0, 3],[4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 3, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 0, 1, 1, 1, 2, 1, 6, 1, 0, 2, 6, 2, 6, 3],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[0, 0, 1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 1, 2, 4, 2, 1, 3, 2, 3],[5, 0, 6, 0, 0, 1, 3, 1, 6, 1, 1, 2, 6, 2, 1, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 2, 0, 3, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[4, 0, 5, 0, 6, 0, 3, 1, 6, 1, 3, 2, 4, 2, 6, 2, 0, 4, 1, 4, 0, 5, 1, 5],[5, 0, 4, 1, 6, 1, 0, 2, 1, 2, 1, 3, 2, 3, 4, 3, 5, 3, 6, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3, 7, 7, 8, 7, 7, 8, 8, 8],[0, 0, 1, 0, 6, 0, 8, 0, 9, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 7, 2],[3, 0, 4, 0, 3, 1, 5, 1, 2, 2, 5, 2, 0, 3, 1, 3, 5, 3, 3, 4, 4, 4],[0, 0, 1, 0, 4, 0, 5, 0, 6, 0, 1, 1, 6, 1, 0, 2, 4, 2, 5, 2, 4, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 8, 1, 9, 1, 0, 2, 8, 2, 9, 2, 1, 3],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 0, 3, 1, 3, 2, 3, 3, 3],[4, 0, 4, 1, 5, 1, 4, 2, 5, 2, 6, 2, 0, 4, 1, 4, 2, 4, 6, 4],[1, 0, 3, 0, 6, 0, 7, 0, 0, 1, 1, 1, 3, 1, 6, 1, 7, 1, 1, 2, 2, 2, 3, 2],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 6, 2, 4, 3, 5, 3],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 2, 3, 6, 3, 1, 4, 5, 4],[0, 0, 4, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3],[5, 0, 5, 1, 6, 1, 5, 2, 7, 2, 1, 3, 0, 4, 1, 4, 0, 5],[0, 0, 6, 0, 0, 1, 6, 1, 0, 2, 3, 2, 6, 2, 4, 3, 5, 3],[8, 0, 9, 0, 10, 0, 10, 1, 8, 2, 10, 2, 8, 3, 9, 3, 0, 4, 1, 4, 0, 5, 1, 5],[8, 0, 9, 0, 8, 1, 9, 1, 1, 5, 2, 5, 0, 6, 1, 6, 1, 7, 2, 7, 2, 8],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 9, 4, 10, 4, 9, 5, 10, 5],[0, 0, 1, 0, 4, 0, 5, 0, 6, 0, 0, 1, 1, 2, 2, 2, 2, 3],[2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 0, 2, 1, 2, 2, 2, 1, 3, 6, 3, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 1, 1, 6, 1, 1, 2, 6, 2, 6, 3],[1, 0, 3, 0, 0, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3, 4, 4],[5, 0, 5, 1, 1, 2, 4, 2, 5, 2, 0, 3, 1, 4, 3, 4, 2, 5],[0, 0, 1, 0, 0, 1, 1, 1, 8, 5, 7, 6, 8, 6, 9, 6, 9, 7],[7, 0, 6, 1, 7, 1, 8, 1, 6, 2, 8, 2, 9, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 0, 1, 1, 1, 3, 1, 6, 1, 0, 2, 2, 2, 3, 2, 3, 3, 6, 3, 4, 4],[0, 0, 1, 0, 3, 0, 1, 1, 2, 1, 3, 1, 2, 2, 6, 2, 7, 2, 6, 3, 7, 3],[0, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 3, 2, 4, 3, 4, 4, 4],[5, 0, 7, 0, 5, 1, 8, 1, 0, 2, 1, 2, 2, 2, 5, 2, 8, 2, 7, 3, 8, 3],[3, 0, 2, 1, 4, 1, 0, 2, 5, 2, 0, 3, 1, 3, 2, 3, 4, 3, 0, 4, 1, 4],[9, 0, 8, 1, 9, 1, 10, 1, 10, 2, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 0, 1, 3, 1, 0, 2, 2, 2, 1, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 4, 3, 2, 4, 3, 4, 4, 4],[1, 0, 0, 1, 2, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 8, 0, 7, 1, 9, 1, 1, 2, 8, 2, 0, 3, 2, 3, 1, 4, 2, 4],[2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 1, 2, 4, 2, 5, 2, 0, 3, 1, 3],[3, 0, 1, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 6, 3, 5, 4, 6, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 4, 6, 4, 8, 4, 5, 5, 8, 5, 6, 6, 7, 6, 8, 6],[7, 0, 8, 0, 7, 1, 8, 1, 1, 6, 0, 7, 1, 7, 2, 7, 0, 8],[2, 0, 4, 0, 0, 1, 3, 1, 5, 1, 6, 1, 0, 2, 5, 2, 0, 3, 1, 4, 4, 4],[6, 0, 7, 0, 8, 0, 5, 1, 8, 1, 0, 2, 1, 2, 5, 2, 6, 2, 8, 2, 0, 3, 1, 3],[0, 0, 1, 0, 0, 1, 1, 1, 9, 2, 10, 2, 11, 2, 11, 3, 9, 4, 11, 4, 9, 5, 10, 5],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 5, 3],[7, 0, 8, 0, 7, 1, 8, 1, 1, 2, 2, 2, 3, 2, 0, 3, 3, 3, 0, 4, 1, 5],[2, 0, 3, 0, 1, 1, 0, 2, 7, 2, 1, 3, 2, 3, 3, 3, 5, 3, 6, 3, 6, 4],[8, 0, 7, 1, 4, 2, 5, 2, 6, 2, 7, 2, 0, 3, 5, 3, 0, 4, 0, 5],[0, 0, 1, 0, 0, 1, 1, 1, 14, 3, 15, 3, 10, 4, 13, 4, 12, 5, 13, 5, 12, 6],[6, 0, 0, 1, 5, 1, 6, 1, 0, 2, 6, 2, 7, 2, 0, 3],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 5, 2, 3, 3, 5, 3, 4, 4, 5, 4, 3, 5],[0, 0, 1, 0, 2, 0, 7, 0, 0, 1, 3, 1, 7, 1, 1, 2, 2, 2, 3, 2, 7, 2],[0, 0, 0, 1, 9, 1, 10, 1, 11, 1, 0, 2, 9, 3, 12, 3, 10, 4, 11, 4],[9, 0, 10, 0, 9, 1, 10, 1, 0, 4, 1, 4, 2, 4, 0, 5, 0, 6, 2, 6, 1, 7, 2, 7],[0, 0, 1, 0, 2, 0, 7, 1, 9, 1, 7, 2, 9, 2, 7, 3, 8, 3, 9, 3],[0, 0, 1, 0, 4, 0, 0, 1, 3, 1, 5, 1, 6, 1, 1, 2, 4, 2, 4, 3, 5, 3],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 4, 2, 0, 4, 1, 4, 2, 4],[0, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 4, 3, 3, 4, 5, 4, 3, 5, 5, 5],[0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 3, 2, 1, 3, 4, 3, 3, 4],[0, 0, 1, 0, 4, 0, 0, 1, 1, 1, 4, 1, 5, 1, 6, 2, 4, 3, 5, 3, 4, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 5, 3, 6, 3, 6, 4, 7, 4, 5, 5, 6, 5],[0, 0, 1, 0, 7, 0, 8, 0, 9, 0, 0, 1, 1, 1, 7, 1, 7, 2, 8, 2, 9, 2],[5, 0, 5, 1, 6, 1, 7, 2, 6, 3, 7, 3, 0, 4, 1, 4, 0, 5, 1, 5],[4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 3, 1, 6, 1, 0, 2, 1, 2, 3, 2, 4, 2, 5, 2],[5, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 6, 2, 7, 2],[0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 3, 7, 3, 8, 3, 6, 4, 9, 4, 7, 5, 8, 5],[3, 0, 4, 0, 6, 0, 7, 0, 5, 1, 0, 2, 1, 2, 2, 2],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[1, 0, 5, 0, 6, 0, 0, 1, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2],[0, 0, 1, 0, 5, 0, 0, 1, 1, 1, 4, 1, 6, 1, 3, 2, 6, 2, 4, 3, 6, 3, 5, 4],[4, 0, 5, 0, 6, 0, 8, 2, 8, 3, 8, 4, 1, 5, 0, 6, 1, 6, 2, 6, 0, 7],[3, 0, 1, 1, 2, 1, 4, 1, 5, 2, 0, 3, 6, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 4, 2, 5, 2, 3, 3, 4, 3, 5, 3],[2, 0, 3, 0, 1, 1, 2, 1, 0, 2, 1, 2, 5, 5, 6, 5, 7, 5],[4, 0, 5, 0, 5, 1, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4, 1, 5],[2, 0, 4, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 1, 3, 2, 3, 2, 4],[0, 0, 0, 1, 7, 1, 0, 2, 6, 2, 7, 2, 8, 2, 8, 3],[5, 0, 1, 1, 2, 1, 4, 1, 6, 1, 0, 2, 5, 2, 1, 3, 5, 3, 1, 4, 2, 5, 4, 5],[1, 0, 2, 0, 0, 1, 1, 1, 8, 1, 6, 2, 7, 2, 8, 2, 7, 3],[1, 0, 0, 1, 1, 1, 0, 2, 7, 2, 6, 3, 8, 3, 9, 4, 6, 5, 8, 5, 7, 6],[0, 0, 1, 0, 3, 0, 1, 1, 4, 1, 5, 1, 1, 2, 3, 2],[2, 0, 3, 0, 4, 0, 2, 1, 3, 1, 4, 1, 2, 2, 0, 3, 0, 4, 1, 4],[4, 0, 4, 1, 5, 1, 0, 2, 1, 2, 2, 2, 3, 2, 5, 2],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 8, 5, 9, 5, 8, 6, 9, 6],[2, 0, 3, 0, 1, 1, 0, 2, 5, 2, 1, 3, 4, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 8, 3, 9, 3, 8, 4, 9, 4],[2, 0, 3, 0, 7, 0, 1, 1, 7, 1, 0, 2, 1, 2, 7, 2, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 9, 0, 0, 1, 3, 1, 8, 1, 9, 1, 1, 2, 2, 2, 9, 2, 7, 3, 8, 3],[3, 0, 0, 1, 0, 2, 2, 2, 3, 2, 4, 2, 0, 3, 5, 3, 4, 4, 6, 4, 5, 5],[5, 0, 6, 0, 7, 0, 8, 1, 5, 2, 8, 2, 6, 3, 7, 3, 0, 6, 1, 6, 0, 7, 1, 7],[4, 0, 1, 1, 2, 1, 4, 1, 6, 1, 0, 2, 1, 2, 4, 2, 6, 2, 0, 3, 4, 3, 6, 3],[6, 0, 7, 0, 8, 0, 6, 2, 9, 2, 7, 3, 8, 3, 0, 5, 1, 5, 0, 6, 2, 6, 1, 7],[7, 0, 7, 1, 8, 1, 0, 2, 1, 2, 6, 2, 8, 2, 0, 3, 1, 3, 7, 3, 2, 4],[9, 0, 0, 1, 1, 1, 9, 1, 10, 1, 0, 2, 10, 2, 11, 2, 1, 3, 11, 3],[6, 0, 7, 0, 5, 1, 8, 1, 0, 2, 1, 2, 6, 2, 8, 2, 0, 3, 1, 3, 7, 3, 8, 3],[2, 0, 6, 0, 1, 1, 6, 1, 7, 1, 0, 2, 3, 2, 7, 2, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 10, 1, 13, 1, 14, 1, 10, 2, 12, 2, 14, 2, 13, 3],[6, 0, 5, 1, 6, 1, 0, 2, 1, 2, 2, 2, 6, 2, 2, 3],[8, 0, 8, 1, 9, 1, 7, 2, 8, 2, 0, 5, 1, 5, 0, 6, 1, 6],[6, 0, 6, 1, 6, 2, 2, 3, 1, 4, 0, 5, 1, 5, 2, 5],[20, 0, 0, 1, 1, 1, 2, 1, 20, 1, 22, 1, 20, 2, 21, 2, 22, 2, 22, 3],[0, 0, 0, 1, 2, 1, 3, 1, 5, 1, 0, 2, 2, 2, 6, 2, 5, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 2, 9, 2, 8, 3, 11, 3, 8, 4, 11, 4, 9, 5, 11, 5],[0, 0, 1, 0, 0, 1, 1, 1, 7, 3, 8, 3, 9, 3, 8, 5, 9, 5, 10, 5],[5, 0, 6, 0, 3, 1, 5, 1, 1, 2, 2, 2, 3, 2, 0, 3, 2, 3, 1, 4],[0, 0, 5, 0, 6, 0, 0, 1, 6, 1, 0, 2, 1, 2, 2, 2, 2, 3, 4, 3, 5, 3],[1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 3, 3, 4, 3, 5, 3],[0, 0, 0, 1, 5, 1, 6, 1, 0, 2, 6, 2, 7, 2, 6, 3],[7, 0, 7, 1, 0, 2, 2, 2, 7, 2, 0, 3, 2, 3, 3, 3, 0, 4],[6, 0, 7, 0, 7, 1, 8, 1, 6, 2, 7, 2, 1, 3, 0, 4, 2, 4, 0, 5, 2, 5, 1, 6],[4, 0, 2, 1, 5, 1, 1, 2, 4, 2, 1, 3, 0, 4, 1, 4],[1, 0, 0, 1, 1, 1, 3, 1, 1, 2, 4, 2, 4, 3, 5, 3, 4, 4],[7, 0, 8, 0, 8, 1, 9, 1, 7, 2, 8, 2, 0, 3, 1, 3, 1, 4, 2, 4],[4, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 1, 2, 6, 2, 2, 3, 3, 3, 5, 3],[7, 0, 0, 1, 7, 1, 0, 2, 1, 2, 2, 2, 7, 2, 1, 3],[6, 0, 7, 0, 6, 1, 8, 1, 7, 2, 8, 2, 9, 2, 0, 3, 1, 3, 0, 4, 1, 4],[7, 0, 8, 0, 5, 1, 8, 1, 0, 2, 1, 2, 2, 2, 5, 2, 8, 2, 5, 3, 7, 3],[4, 0, 1, 1, 2, 1, 3, 1, 4, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 3, 6, 3, 6, 4, 6, 5],[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 3, 3, 8, 6, 9, 6, 8, 7, 9, 7],[8, 0, 1, 1, 6, 1, 7, 1, 9, 1, 10, 1, 0, 2, 1, 2, 8, 2, 1, 3],[1, 0, 2, 0, 5, 0, 1, 1, 2, 1, 5, 1, 0, 2, 4, 2, 0, 3, 2, 3, 0, 4, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 9, 5, 10, 5, 11, 5, 11, 6, 9, 7, 10, 7, 11, 7],[4, 0, 5, 0, 6, 0, 3, 1, 6, 1, 3, 3, 4, 3, 5, 3, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 3, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 0, 3, 3, 3, 4, 3, 2, 4],[4, 0, 5, 0, 7, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 1, 0, 2, 1, 2, 6, 2],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3, 6, 3, 2, 4, 5, 4],[0, 0, 0, 1, 1, 1, 3, 1, 1, 2, 2, 2, 4, 2, 5, 2, 2, 3, 4, 3, 3, 4],[4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 6, 1, 0, 2, 1, 2, 5, 2, 5, 3],[6, 0, 7, 0, 0, 1, 3, 1, 5, 1, 7, 1, 1, 2, 6, 2, 1, 3, 6, 3, 3, 4, 4, 4],[5, 0, 6, 0, 7, 0, 4, 2, 0, 3, 1, 3, 4, 3, 0, 4, 1, 4, 5, 5, 6, 5, 7, 5],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 6, 1, 1, 2, 2, 2, 7, 2, 8, 2, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 5, 2, 6, 2, 6, 3, 8, 3, 7, 4, 8, 4],[0, 0, 3, 0, 4, 0, 1, 1, 4, 1, 1, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 1, 0, 2, 2, 2, 3, 2, 4, 2, 2, 3, 5, 3, 3, 4, 4, 4],[5, 0, 1, 1, 2, 1, 3, 1, 5, 1, 6, 1, 0, 2, 2, 2, 5, 2],[1, 0, 1, 1, 3, 1, 0, 2, 1, 2, 4, 2, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 4, 3, 5, 3, 6, 4, 5, 5, 6, 5],[1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 5, 2, 2, 3, 4, 3, 3, 4],[8, 0, 0, 1, 1, 1, 2, 1, 6, 1, 7, 1, 8, 1, 7, 2],[1, 0, 0, 1, 2, 1, 3, 1, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 3, 9, 3, 7, 4, 8, 4, 8, 5],[0, 0, 4, 0, 0, 1, 5, 1, 0, 2, 4, 2, 5, 2, 6, 2],[4, 0, 4, 1, 2, 2, 5, 2, 1, 3, 2, 3, 0, 4, 1, 4, 1, 5, 2, 5],[7, 0, 7, 1, 0, 2, 7, 2, 0, 3, 1, 3, 2, 3, 1, 4],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 5, 6, 6, 6, 7, 6],[0, 0, 0, 1, 2, 2, 3, 2, 5, 2, 2, 3, 5, 3, 3, 4, 5, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 6, 3, 7, 3, 8, 3, 6, 4],[5, 0, 6, 0, 5, 1, 7, 1, 5, 2, 7, 2, 0, 3, 0, 4, 1, 4, 7, 4, 8, 4, 8, 5],[3, 0, 8, 0, 7, 1, 9, 1, 8, 2, 9, 2, 8, 3, 0, 4, 1, 4, 1, 5, 2, 5],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 5, 2, 0, 3, 4, 3, 5, 3, 1, 4, 2, 4, 3, 4],[0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 0, 2, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 0, 1, 4, 1, 5, 1, 6, 1, 0, 2, 4, 2, 6, 2, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 8, 1, 5, 2, 8, 2, 5, 3, 8, 3, 5, 4],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 6, 5, 8, 5, 5, 6, 8, 6, 6, 7, 7, 7, 8, 7],[2, 0, 3, 0, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 8, 5, 9, 5, 8, 6, 9, 6],[2, 0, 3, 0, 0, 1, 3, 1, 8, 1, 0, 2, 3, 2, 8, 2, 0, 3, 2, 3, 8, 3],[1, 0, 2, 1, 3, 1, 0, 2, 4, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[5, 0, 7, 0, 0, 1, 5, 1, 7, 1, 0, 2, 5, 2, 6, 2, 7, 2, 0, 3],[0, 0, 1, 0, 2, 0, 2, 1, 3, 1, 1, 2, 1, 3, 4, 3, 2, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 3, 7, 6, 8, 6, 7, 7, 8, 7],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 5, 3, 6, 3, 6, 4, 7, 4],[5, 0, 6, 0, 4, 1, 7, 1, 1, 2, 5, 2, 7, 2, 1, 3, 6, 3, 0, 4, 2, 4],[1, 0, 0, 1, 2, 1, 7, 1, 9, 1, 1, 2, 2, 2, 6, 2, 9, 2, 7, 3, 9, 3],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4, 3, 4, 4, 4, 5, 4],[5, 0, 4, 1, 5, 1, 6, 1, 6, 2, 7, 2, 0, 3, 1, 3, 0, 4, 1, 4],[4, 0, 5, 0, 2, 1, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 3, 3, 4, 3, 2, 4, 3, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 7, 6, 8, 6, 7, 7, 8, 7],[6, 0, 7, 0, 8, 0, 6, 1, 9, 1, 6, 2, 8, 2, 9, 2, 0, 6, 1, 6, 0, 7, 1, 7],[3, 0, 5, 0, 3, 1, 5, 1, 3, 2, 4, 2, 5, 2, 0, 5, 1, 5, 2, 5],[2, 0, 3, 0, 6, 0, 7, 0, 1, 1, 3, 1, 6, 1, 7, 1, 0, 2, 1, 2],[1, 0, 2, 0, 4, 0, 0, 1, 4, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 5, 0, 6, 0, 4, 1, 7, 1, 5, 2, 7, 2, 7, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 5, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 2, 2, 1, 3, 5, 5, 6, 5, 5, 6, 6, 6],[4, 0, 5, 0, 5, 1, 6, 1, 0, 4, 1, 4, 2, 4, 0, 5, 0, 6, 1, 6, 2, 6],[2, 0, 5, 0, 1, 1, 3, 1, 5, 1, 0, 2, 1, 2, 3, 2, 5, 2],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 7, 1, 8, 1, 0, 2, 2, 2, 3, 2, 7, 2, 8, 2],[8, 0, 9, 0, 10, 0, 10, 1, 8, 2, 9, 2, 10, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 7, 8, 7, 9, 7],[0, 0, 1, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 2, 9, 2, 9, 3, 6, 4, 9, 4, 7, 5, 8, 5],[8, 0, 9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 4],[7, 0, 8, 0, 0, 1, 1, 1, 2, 1, 8, 1, 9, 1, 7, 2, 8, 2],[0, 0, 1, 0, 0, 1, 1, 1, 4, 1, 5, 1, 4, 2, 6, 2, 6, 3, 7, 3],[2, 0, 3, 0, 4, 1, 0, 2, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 0, 1, 0, 2, 2, 2, 3, 2, 4, 2, 3, 3, 5, 3, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 1, 1, 4, 1, 0, 2, 4, 2, 2, 3, 4, 3],[4, 0, 3, 1, 5, 1, 3, 2, 5, 2, 0, 3, 1, 3, 4, 3, 5, 3, 0, 4, 1, 4],[1, 0, 2, 0, 5, 0, 6, 0, 7, 0, 0, 1, 3, 1, 6, 1, 1, 2, 2, 2],[2, 0, 1, 1, 5, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3],[2, 0, 4, 0, 1, 1, 4, 1, 0, 2, 0, 3, 1, 4, 2, 4, 3, 4],[2, 0, 4, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 2, 5, 3, 4, 4, 1, 5, 2, 5, 3, 5],[2, 0, 7, 0, 1, 1, 7, 1, 0, 2, 1, 2, 2, 2, 7, 2],[2, 0, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 3, 3, 2, 4, 14, 4, 15, 4, 14, 5, 15, 5],[6, 0, 5, 1, 6, 1, 6, 2, 0, 3, 0, 4, 1, 4, 0, 5],[1, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 5, 3, 1, 4, 2, 4, 4, 4, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 6, 2, 7, 2, 8, 2, 6, 3, 9, 3, 8, 4, 9, 4],[2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 4, 3, 5, 3],[0, 0, 1, 0, 0, 1, 1, 1, 10, 4, 12, 4, 9, 5, 12, 5, 11, 6, 12, 6],[4, 0, 5, 0, 0, 1, 2, 1, 5, 1, 1, 2, 5, 2, 1, 3, 4, 3, 3, 4],[3, 0, 5, 0, 0, 1, 2, 1, 4, 1, 6, 1, 1, 2, 2, 2, 3, 2, 5, 2],[2, 0, 3, 0, 3, 1, 4, 1, 1, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 3, 15, 3, 16, 3, 14, 4, 16, 4, 15, 5],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 6, 2, 5, 3, 7, 4, 5, 5, 6, 5, 7, 5],[8, 0, 7, 1, 8, 1, 9, 1, 7, 2, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 4, 0, 1, 1, 6, 1, 0, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[3, 0, 2, 1, 3, 1, 4, 1, 5, 2, 3, 3, 0, 4, 3, 4, 1, 5, 2, 5],[12, 0, 12, 1, 13, 1, 0, 2, 1, 2, 11, 2, 13, 2, 0, 3, 1, 3, 12, 3],[11, 0, 10, 1, 12, 1, 0, 2, 1, 2, 2, 2, 10, 2, 13, 2, 10, 3, 12, 3, 11, 4],[2, 0, 3, 0, 4, 0, 0, 2, 5, 2, 0, 3, 0, 4, 6, 4, 5, 5, 2, 6, 3, 6, 4, 6],[0, 0, 1, 0, 3, 0, 4, 0, 7, 0, 0, 1, 1, 1, 5, 1, 7, 1, 7, 2],[0, 0, 1, 0, 11, 0, 12, 0, 13, 0, 0, 1, 1, 1, 13, 1, 11, 2, 12, 2, 13, 2],[0, 0, 1, 0, 11, 0, 0, 1, 10, 1, 11, 1, 1, 2, 9, 2, 10, 2, 9, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 4, 1, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 10, 2, 11, 2, 12, 2],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 7, 2, 7, 3, 1, 4, 7, 4, 4, 5],[8, 0, 9, 0, 8, 1, 9, 1, 1, 4, 2, 4, 3, 4, 0, 6, 3, 6, 0, 7, 1, 7, 2, 7],[8, 0, 9, 0, 2, 1, 3, 1, 8, 1, 9, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 1, 4],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 1, 1, 3, 1, 6, 1, 3, 3, 4, 3, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 7, 5, 6, 6, 7, 6, 8, 6],[4, 0, 5, 0, 6, 0, 1, 3, 0, 4, 1, 4, 1, 5, 2, 5],[6, 0, 7, 0, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2, 3, 2, 3, 3, 3, 4, 2, 5],[6, 0, 0, 1, 1, 1, 5, 1, 6, 1, 0, 2, 6, 2, 7, 2, 7, 4, 8, 4],[0, 0, 0, 1, 2, 1, 0, 2, 5, 2, 6, 2, 7, 2, 7, 3, 5, 4, 6, 4, 7, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 4, 7, 4, 5, 5, 8, 5, 5, 6, 5, 7, 6, 7],[0, 0, 0, 1, 6, 1, 8, 1, 0, 2, 6, 2, 8, 2, 6, 3, 7, 3, 8, 3],[7, 0, 8, 0, 9, 0, 1, 1, 2, 1, 8, 1, 0, 2, 2, 2, 1, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 3, 2, 2, 3, 8, 3, 7, 4, 8, 4, 9, 4],[1, 0, 7, 0, 8, 0, 1, 1, 7, 1, 8, 1, 0, 2, 1, 2, 0, 5, 1, 5, 1, 6, 1, 7],[6, 0, 6, 1, 0, 2, 6, 2, 0, 3, 3, 3, 0, 4, 3, 4, 2, 5],[5, 0, 0, 1, 1, 1, 2, 1, 4, 1, 5, 1, 6, 1, 7, 2],[0, 0, 0, 1, 0, 2, 6, 3, 8, 3, 6, 4, 8, 4, 6, 5, 7, 5, 8, 5],[6, 0, 7, 0, 6, 1, 7, 1, 2, 4, 3, 5, 0, 6, 3, 6, 0, 7, 1, 7, 2, 7],[2, 0, 2, 1, 3, 1, 4, 1, 1, 2, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4],[9, 0, 8, 1, 10, 1, 2, 3, 8, 3, 9, 3, 10, 3, 0, 4, 1, 4, 3, 4, 4, 4, 2, 5],[1, 0, 0, 1, 3, 1, 4, 1, 5, 1, 0, 2, 1, 2, 6, 2, 4, 3, 5, 3],[7, 0, 8, 0, 7, 1, 8, 1, 2, 3, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6, 2, 6],[5, 0, 1, 1, 2, 1, 6, 1, 0, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3],[8, 0, 9, 0, 1, 1, 8, 1, 9, 1, 0, 2, 1, 2, 0, 3, 2, 3, 1, 4, 3, 4, 3, 5],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 6, 2, 0, 3, 6, 3, 1, 5, 2, 5, 3, 5],[6, 0, 7, 0, 5, 1, 8, 1, 8, 2, 7, 3, 8, 3, 0, 6, 1, 6, 0, 7, 1, 7],[6, 0, 6, 1, 7, 1, 5, 2, 7, 2, 1, 3, 6, 3, 0, 4, 2, 4, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 3, 6, 4, 8, 4, 6, 5, 7, 5],[1, 0, 2, 0, 1, 2, 0, 3, 2, 3, 1, 4, 2, 4, 10, 7, 11, 7, 12, 7],[9, 0, 8, 1, 10, 1, 8, 2, 10, 2, 0, 3, 9, 3, 10, 3, 0, 4, 0, 5],[0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 3, 3, 3, 10, 4, 11, 4, 12, 4],[3, 0, 2, 1, 4, 1, 1, 2, 5, 2, 4, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 3, 3, 4, 3, 4, 4],[5, 0, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 0, 2, 1, 3, 3, 3, 3, 4, 4, 4],[4, 0, 5, 0, 6, 0, 2, 1, 1, 2, 0, 3, 1, 3, 2, 3],[1, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3],[2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 5, 3, 6, 3, 5, 4, 5, 5],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 5, 2, 0, 3, 4, 3, 0, 4, 1, 4, 3, 4],[5, 0, 6, 0, 5, 1, 2, 3, 0, 4, 1, 4, 4, 4, 0, 5, 4, 5, 1, 6, 2, 6],[5, 0, 1, 1, 6, 1, 0, 2, 6, 2, 0, 3, 6, 3, 1, 4, 5, 4, 1, 5, 4, 5],[5, 0, 5, 1, 8, 1, 5, 2, 8, 2, 7, 3, 0, 6, 1, 6, 2, 6],[8, 0, 1, 1, 2, 1, 3, 1, 0, 2, 0, 3, 3, 3, 4, 3, 0, 4, 1, 4, 2, 5, 3, 5],[1, 0, 1, 1, 2, 1, 4, 1, 0, 2, 3, 2, 5, 2, 6, 2, 5, 3, 2, 4, 4, 5],[5, 0, 4, 1, 6, 1, 4, 2, 7, 2, 5, 3, 6, 3, 1, 5, 0, 6, 1, 6, 2, 6],[6, 0, 7, 0, 6, 1, 9, 1, 6, 2, 8, 2, 1, 3, 0, 4, 2, 4, 1, 5],[0, 0, 0, 1, 1, 1, 6, 2, 1, 3, 2, 3, 6, 3, 2, 4, 6, 4],[3, 0, 4, 0, 5, 0, 1, 2, 0, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[0, 0, 1, 0, 6, 0, 7, 0, 8, 0, 1, 1, 2, 1, 7, 1, 6, 2],[1, 0, 0, 1, 2, 1, 6, 2, 0, 3, 1, 3, 2, 3, 7, 3, 8, 3, 6, 4],[4, 0, 5, 0, 6, 0, 6, 1, 0, 2, 1, 2, 6, 2, 0, 3, 4, 3, 5, 3, 1, 4, 2, 4],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 2, 2, 4, 2, 4, 3, 5, 3],[1, 0, 2, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 5, 4],[2, 0, 3, 0, 7, 0, 8, 0, 0, 1, 1, 1, 3, 1, 7, 1, 8, 1, 0, 3, 2, 3, 1, 4],[1, 0, 2, 0, 9, 0, 0, 1, 3, 1, 8, 1, 9, 1, 10, 1, 0, 2, 3, 2, 1, 3, 2, 3],[6, 0, 7, 0, 4, 1, 6, 1, 4, 2, 5, 2, 0, 3, 1, 3, 0, 4, 1, 4],[4, 0, 5, 0, 6, 0, 2, 1, 2, 2, 0, 3, 1, 3, 2, 3],[5, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 6, 2, 7, 2, 1, 3, 5, 3, 6, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 5, 3, 5, 4, 1, 5, 2, 5, 3, 5],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 5, 4, 5, 5, 5],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 6, 3, 2, 4, 3, 4, 6, 4, 5, 5],[1, 0, 0, 1, 2, 1, 3, 1, 4, 1, 5, 2, 0, 3, 1, 3, 5, 3, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 3, 2, 3, 5, 3, 4, 4, 5, 4],[1, 0, 0, 1, 1, 1, 5, 1, 1, 2, 4, 2, 6, 2, 5, 3, 6, 3],[2, 0, 3, 0, 4, 0, 4, 1, 1, 2, 1, 3, 3, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 6, 4, 7, 4, 8, 4, 5, 5, 5, 6, 8, 6, 6, 7, 7, 7],[8, 0, 9, 0, 10, 0, 9, 2, 10, 2, 11, 2, 0, 3, 1, 3, 0, 4, 1, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 1, 4, 9, 5, 10, 5, 9, 6, 10, 6],[1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 5, 1, 1, 2, 6, 2, 3, 3, 5, 3],[3, 0, 5, 0, 1, 1, 2, 1, 0, 2, 5, 2, 0, 3, 1, 4, 2, 4, 3, 4],[8, 0, 0, 1, 8, 1, 9, 1, 0, 2, 0, 3, 9, 3, 10, 3, 10, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 3, 3, 5, 3, 3, 4, 4, 4],[1, 0, 3, 0, 0, 1, 3, 1, 7, 1, 0, 2, 6, 2, 7, 2, 0, 3, 1, 3],[0, 0, 1, 0, 2, 0, 7, 7, 10, 7, 7, 8, 8, 8, 10, 8, 8, 9, 9, 9],[0, 0, 6, 0, 0, 1, 2, 1, 5, 1, 6, 1, 0, 2, 6, 2],[1, 0, 0, 1, 1, 1, 2, 1, 6, 1, 5, 2, 6, 2, 7, 2],[2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 8, 4, 9, 4, 8, 5, 9, 5],[3, 0, 1, 1, 3, 1, 4, 1, 0, 2, 0, 3, 2, 3, 3, 3, 1, 4],[10, 0, 11, 0, 10, 1, 11, 1, 1, 2, 2, 2, 0, 3, 2, 3, 0, 4, 0, 5, 1, 5, 2, 5],[1, 0, 2, 0, 5, 0, 6, 0, 0, 1, 5, 1, 6, 1, 1, 2, 0, 3, 2, 3, 1, 4],[9, 0, 10, 0, 9, 1, 10, 1, 0, 6, 1, 6, 2, 6, 0, 7, 0, 8, 1, 8, 2, 8],[6, 0, 6, 1, 0, 2, 1, 2, 2, 2, 6, 2, 0, 3, 3, 3, 1, 4, 2, 4],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 1, 2, 3, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 3, 2, 3, 3, 3, 2, 4, 4, 4],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 1, 1, 3, 1, 6, 1, 4, 2, 6, 2, 5, 3, 6, 3],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 7, 6, 8, 6, 7, 7, 8, 7],[0, 0, 1, 0, 2, 0, 4, 1, 5, 1, 6, 1, 4, 3, 7, 3, 5, 4, 6, 4, 7, 4],[7, 0, 8, 0, 9, 0, 9, 1, 7, 2, 8, 2, 9, 2, 0, 6, 1, 6, 2, 6],[2, 0, 6, 0, 7, 0, 1, 1, 2, 1, 5, 1, 6, 1, 0, 3, 1, 4, 1, 5],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 8, 3, 9, 3, 8, 4, 9, 4],[1, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 6, 4, 7, 4, 8, 4],[2, 0, 1, 1, 0, 2, 5, 2, 6, 2, 1, 3, 6, 3, 2, 4, 3, 4, 6, 4, 5, 5],[0, 0, 1, 0, 3, 0, 5, 0, 6, 0, 1, 1, 5, 1, 2, 3, 4, 3, 3, 4],[9, 0, 10, 0, 9, 1, 10, 1, 0, 4, 1, 4, 2, 4, 0, 6, 3, 6, 1, 7, 2, 7, 3, 7],[1, 0, 2, 0, 3, 0, 6, 1, 7, 1, 8, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 5, 0, 6, 0, 0, 1, 6, 1, 0, 2, 6, 2, 0, 3, 1, 3, 5, 3, 4, 4],[4, 0, 5, 0, 6, 0, 0, 4, 1, 4, 2, 4, 2, 5, 3, 5, 4, 5],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 6, 1, 7, 1, 3, 2, 4, 2, 1, 3, 2, 3],[8, 0, 9, 0, 10, 0, 10, 1, 8, 2, 9, 2, 10, 2, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 2, 2, 3],[4, 0, 3, 1, 4, 1, 5, 1, 1, 2, 5, 2, 1, 3, 3, 3, 0, 4, 1, 4],[0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 3, 2, 4, 3, 5, 3, 3, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 5, 3, 1, 4, 4, 4],[1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 1, 2, 5, 2, 2, 3, 3, 4, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 6, 2, 7, 2, 8, 2, 2, 3, 3, 3],[0, 0, 7, 0, 8, 0, 0, 1, 1, 1, 2, 1, 6, 1, 9, 1, 1, 2, 7, 2, 8, 2],[2, 0, 2, 1, 3, 1, 4, 2, 0, 3, 1, 3, 3, 3, 0, 4, 1, 4, 3, 4],[6, 0, 0, 1, 1, 1, 2, 1, 6, 1, 1, 2, 6, 2, 2, 3],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 5, 1, 0, 2, 6, 2, 1, 3, 2, 4, 3, 4, 4, 4],[5, 0, 6, 0, 7, 0, 1, 1, 4, 1, 7, 1, 0, 2, 7, 2, 0, 3, 6, 3, 1, 4],[1, 0, 2, 0, 0, 1, 2, 1, 4, 1, 0, 2, 2, 2, 4, 2, 5, 2, 4, 3],[6, 0, 6, 1, 6, 2, 1, 3, 1, 4, 2, 4, 0, 5, 1, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 2, 2, 3, 3, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 3, 2, 3, 2, 4, 5, 4, 3, 5, 4, 5],[0, 0, 1, 0, 2, 0, 6, 3, 7, 3, 4, 4, 7, 4, 4, 5, 7, 5, 4, 6, 6, 6],[3, 0, 4, 0, 5, 0, 0, 1, 3, 1, 3, 2, 5, 2, 5, 3, 6, 3, 5, 4],[3, 0, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 3, 3, 3, 5, 3],[6, 0, 7, 0, 5, 1, 6, 1, 6, 2, 0, 4, 1, 4, 2, 4],[1, 0, 6, 0, 0, 1, 2, 1, 4, 1, 7, 1, 0, 2, 3, 2, 6, 2, 1, 3, 2, 3],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 4, 3, 3, 4, 4, 4],[1, 0, 5, 0, 6, 0, 2, 1, 5, 1, 7, 1, 0, 2, 6, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 3, 3, 3, 4, 3],[1, 0, 0, 1, 1, 1, 2, 1, 5, 2, 6, 2, 4, 3, 6, 3, 5, 4],[7, 0, 8, 0, 9, 0, 2, 1, 8, 1, 0, 2, 1, 2, 3, 2, 4, 2, 2, 3],[1, 0, 9, 0, 0, 1, 3, 1, 7, 1, 10, 1, 0, 2, 1, 2, 9, 2, 10, 2, 1, 3, 9, 3],[0, 0, 0, 1, 2, 1, 0, 2, 4, 2, 5, 2, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4],[5, 0, 6, 0, 6, 1, 7, 1, 4, 2, 6, 2, 0, 3, 1, 3, 4, 3, 5, 3, 0, 4, 1, 4],[5, 0, 1, 1, 2, 1, 3, 1, 5, 1, 0, 2, 5, 2, 2, 3, 0, 4],[4, 0, 4, 1, 5, 1, 4, 2, 5, 2, 6, 2, 7, 3, 0, 4, 1, 4, 2, 4],[8, 0, 9, 0, 8, 1, 9, 1, 0, 6, 1, 6, 3, 6, 0, 7, 3, 7, 1, 8, 2, 8, 3, 8],[8, 0, 8, 1, 8, 2, 0, 5, 2, 5, 0, 6, 2, 6, 0, 7, 1, 7, 2, 7],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 5, 2, 6, 2, 7, 3, 6, 4, 7, 4],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 0, 3, 5, 3, 2, 4, 4, 4, 4, 5],[6, 0, 7, 0, 0, 1, 5, 1, 8, 1, 0, 2, 8, 2, 0, 3, 8, 3, 7, 4],[0, 0, 0, 1, 0, 2, 3, 3, 5, 3, 2, 4, 3, 4, 5, 4, 3, 5],[6, 0, 7, 0, 6, 1, 7, 1, 2, 4, 3, 4, 3, 5, 0, 6, 3, 6, 1, 7, 2, 7],[0, 0, 1, 0, 2, 0, 1, 1, 6, 1, 7, 1, 7, 2, 5, 3, 6, 3, 7, 3],[0, 0, 1, 0, 2, 0, 3, 0, 9, 1, 7, 2, 9, 2, 10, 2, 8, 3, 9, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 3, 2, 4, 2, 1, 3, 4, 3, 4, 4, 5, 4],[0, 0, 0, 1, 0, 2, 6, 3, 4, 4, 5, 4, 6, 4, 5, 5],[4, 0, 5, 0, 3, 1, 6, 1, 0, 2, 4, 2, 5, 2, 0, 3, 1, 3, 2, 4, 1, 5],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 2, 1, 6, 4, 7, 4, 8, 4],[2, 0, 7, 0, 8, 0, 9, 0, 1, 1, 3, 1, 0, 2, 4, 2, 1, 3, 3, 3],[11, 0, 11, 1, 10, 2, 12, 2, 11, 3, 12, 3, 11, 4, 12, 4, 0, 5, 1, 5, 2, 5, 4, 6],[8, 0, 7, 1, 8, 1, 8, 2, 9, 2, 0, 5, 1, 5, 0, 6, 1, 6],[2, 0, 3, 0, 5, 0, 6, 0, 1, 1, 2, 1, 3, 1, 6, 1, 0, 2, 1, 2],[1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 3, 4, 4, 4],[7, 0, 8, 0, 1, 1, 7, 1, 9, 1, 0, 2, 2, 2, 7, 2, 9, 2, 0, 3, 1, 3, 8, 3],[4, 0, 5, 0, 6, 0, 0, 2, 1, 2, 0, 3, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 5, 5, 6, 5, 4, 6, 5, 6],[1, 0, 0, 1, 2, 1, 1, 2, 7, 2, 6, 3, 8, 3, 6, 4, 9, 4, 6, 5, 8, 5, 7, 6],[1, 0, 0, 1, 2, 1, 3, 2, 6, 2, 3, 3, 4, 3, 4, 4, 5, 4],[0, 0, 1, 0, 5, 0, 0, 1, 4, 1, 6, 1, 1, 2, 2, 2, 7, 2, 6, 3, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 11, 1, 14, 1, 15, 1, 11, 2, 13, 2, 15, 2, 14, 3],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 8, 2, 8, 3, 8, 4],[1, 0, 10, 0, 11, 0, 0, 1, 10, 1, 11, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[2, 0, 4, 0, 5, 1, 1, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[3, 0, 1, 1, 0, 2, 3, 2, 4, 2, 0, 3, 0, 4, 1, 4, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 3, 5, 3, 3, 4, 5, 4, 4, 5, 5, 5],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 3, 3, 1, 4, 3, 4, 4, 4],[2, 0, 3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 3, 3, 4, 3, 0, 4, 1, 4],[10, 0, 0, 1, 1, 1, 2, 1, 10, 1, 0, 2, 10, 2, 0, 3, 1, 3, 2, 3],[4, 0, 6, 1, 0, 2, 6, 2, 0, 3, 5, 3, 6, 3, 0, 4, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 3, 9, 3, 8, 4, 10, 4, 10, 5, 8, 6, 9, 6, 10, 6],[4, 0, 2, 1, 3, 1, 6, 1, 1, 2, 0, 3, 1, 4, 6, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 2, 0, 0, 1, 5, 1, 0, 2, 6, 2, 1, 3, 6, 3, 7, 3, 5, 4, 6, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 7, 5, 4, 6, 7, 6, 5, 7, 6, 7],[3, 0, 5, 0, 1, 1, 4, 1, 0, 2, 1, 3, 4, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 7, 0, 1, 1, 7, 1, 7, 2, 0, 3, 3, 3, 0, 4, 1, 4],[0, 0, 1, 0, 4, 0, 5, 0, 3, 1, 1, 2, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4],[5, 0, 3, 1, 6, 1, 2, 2, 3, 2, 5, 2, 0, 3, 1, 3, 3, 3, 2, 4],[1, 0, 1, 1, 2, 1, 7, 1, 8, 1, 0, 2, 2, 2, 6, 2, 9, 2, 1, 3, 7, 3, 8, 3],[4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 6, 2, 6, 3, 7, 3, 5, 4, 6, 4],[0, 0, 0, 1, 1, 1, 5, 1, 0, 2, 3, 2, 5, 2, 5, 3],[8, 0, 9, 0, 8, 1, 9, 1, 1, 2, 0, 3, 1, 3, 2, 3, 2, 4],[0, 0, 0, 1, 5, 1, 0, 2, 2, 2, 3, 2, 6, 2, 3, 3, 5, 3, 4, 4],[1, 0, 3, 0, 6, 0, 7, 0, 8, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3],[8, 0, 7, 1, 9, 1, 6, 2, 0, 3, 1, 3, 7, 3, 9, 3, 0, 4, 1, 4, 8, 4],[3, 0, 4, 0, 5, 0, 2, 1, 0, 2, 0, 3, 4, 3, 0, 4, 1, 4],[4, 0, 2, 1, 3, 1, 6, 1, 1, 2, 6, 2, 0, 3, 4, 3, 6, 3, 1, 4, 3, 4],[3, 0, 3, 1, 9, 1, 2, 2, 9, 2, 1, 3, 3, 3, 9, 3, 0, 4, 2, 4, 3, 4, 1, 5],[6, 0, 7, 0, 8, 0, 5, 1, 8, 1, 5, 2, 6, 2, 8, 2, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 3, 2, 4, 2, 1, 3, 5, 3, 2, 4, 3, 5, 5, 5],[2, 0, 1, 1, 3, 1, 0, 2, 3, 2, 0, 3, 6, 3, 0, 4, 4, 4, 5, 4, 1, 5, 2, 6],[5, 0, 6, 0, 2, 1, 6, 1, 7, 1, 1, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 3, 2, 4, 2, 1, 3],[3, 0, 1, 1, 2, 1, 3, 1, 4, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 3, 4],[0, 0, 1, 0, 2, 0, 3, 2, 5, 2, 6, 2, 7, 2, 1, 3, 2, 3],[10, 0, 8, 1, 9, 1, 10, 1, 9, 2, 0, 5, 1, 5, 0, 6, 1, 6],[7, 0, 7, 1, 8, 1, 6, 2, 8, 2, 7, 3, 0, 4, 1, 4, 0, 5, 1, 5, 2, 6],[3, 0, 4, 0, 1, 1, 5, 1, 1, 2, 6, 2, 0, 3, 1, 3, 3, 3, 4, 3, 5, 3],[1, 0, 0, 1, 2, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3, 4, 3],[0, 0, 3, 0, 0, 1, 5, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 2, 9, 2, 9, 3, 10, 3, 9, 4],[1, 0, 0, 1, 2, 1, 7, 1, 8, 1, 0, 2, 2, 2, 8, 2, 9, 2, 1, 3, 8, 3],[1, 0, 0, 1, 2, 1, 3, 1, 7, 1, 8, 1, 1, 2, 4, 2, 3, 3, 4, 3, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 4, 1, 2, 2, 10, 2, 11, 2, 10, 3, 11, 3],[0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 9, 5, 9, 6, 9, 7],[0, 0, 1, 0, 2, 0, 6, 5, 7, 5, 8, 5, 8, 6, 6, 7, 7, 7, 8, 7],[0, 0, 7, 0, 0, 1, 5, 1, 6, 1, 7, 1, 0, 2, 6, 2],[0, 0, 1, 0, 2, 0, 8, 0, 9, 0, 10, 0, 0, 1, 2, 2, 1, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 3, 8, 3, 9, 3, 8, 4, 9, 4],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 4, 2, 3, 3],[8, 0, 9, 0, 7, 1, 10, 1, 0, 2, 1, 2, 10, 2, 0, 3, 1, 3, 9, 3, 10, 3],[6, 0, 2, 1, 6, 1, 1, 2, 2, 2, 6, 2, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 1, 0, 1, 1, 3, 1, 4, 1, 3, 2, 4, 2, 5, 3, 3, 4, 4, 4, 3, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 6, 2, 7, 2, 8, 2, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 1, 4, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 5, 2, 6, 2, 7, 2, 4, 3, 5, 3, 7, 3],[0, 0, 1, 0, 6, 0, 2, 1, 5, 1, 7, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 2, 1, 3],[1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 9, 2, 10, 2, 9, 3, 10, 3],[1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 3, 6, 3, 7, 4, 4, 5, 6, 5, 5, 6],[2, 0, 3, 0, 4, 0, 1, 1, 6, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4],[1, 0, 4, 0, 0, 1, 4, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[4, 0, 5, 0, 5, 1, 4, 2, 5, 2, 0, 3, 1, 3, 3, 3, 1, 4],[2, 0, 6, 0, 7, 0, 8, 0, 1, 1, 2, 1, 0, 2, 3, 2, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 3, 1, 6, 1, 7, 1, 0, 2, 1, 2, 6, 2, 7, 2],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 1, 3, 2, 3, 3, 3, 9, 3, 9, 4, 10, 4, 9, 5],[1, 0, 4, 0, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 0, 3, 1, 3],[1, 0, 0, 1, 2, 1, 7, 1, 0, 2, 2, 2, 6, 2, 7, 2, 1, 3, 7, 3, 8, 3],[4, 0, 5, 0, 0, 1, 5, 1, 0, 2, 3, 2, 6, 2, 0, 3, 1, 3, 5, 3, 6, 3],[4, 0, 0, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 1, 4, 4, 4, 3, 5],[2, 0, 1, 1, 3, 1, 5, 1, 4, 2, 0, 3, 3, 3, 4, 3, 0, 4, 1, 4, 2, 4],[1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3, 6, 5, 7, 5, 6, 6, 7, 6],[0, 0, 3, 0, 0, 1, 3, 1, 0, 2, 4, 2, 3, 3, 4, 3, 8, 3, 9, 3, 8, 4, 9, 4],[3, 0, 4, 0, 8, 0, 0, 1, 4, 1, 8, 1, 2, 2, 3, 2, 8, 2, 2, 3],[1, 0, 2, 1, 3, 1, 0, 2, 4, 2, 5, 3, 2, 4, 3, 4, 4, 4],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 4, 3, 2, 4, 4, 4, 5, 4],[0, 0, 1, 0, 5, 0, 0, 1, 1, 1, 4, 1, 5, 1, 6, 1, 4, 2, 7, 2, 6, 3, 7, 3],[1, 0, 0, 1, 2, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[6, 0, 6, 1, 7, 1, 8, 2, 0, 3, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4],[5, 0, 6, 0, 6, 1, 7, 1, 0, 2, 1, 2, 5, 2, 6, 2, 0, 3, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 6, 1, 8, 1, 7, 2, 8, 2, 9, 2],[1, 0, 2, 0, 9, 0, 0, 1, 3, 1, 8, 1, 9, 1, 1, 2, 3, 2, 9, 2, 2, 3],[5, 0, 6, 0, 0, 1, 1, 1, 4, 1, 7, 1, 1, 2, 2, 2, 7, 2, 7, 3],[2, 0, 7, 0, 0, 1, 1, 1, 3, 1, 7, 1, 8, 1, 3, 2, 4, 2],[1, 0, 2, 0, 3, 0, 4, 1, 5, 2, 0, 3, 6, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 2, 0, 3, 0, 0, 1, 1, 1, 2, 1, 1, 2, 5, 2, 6, 2, 5, 3, 6, 3],[3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 0, 3],[12, 0, 13, 0, 0, 1, 1, 1, 2, 1, 12, 1, 13, 1, 0, 2, 0, 3, 1, 3, 2, 3],[4, 0, 6, 0, 1, 1, 3, 1, 4, 1, 6, 1, 0, 2, 6, 2, 1, 3],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 2, 2, 2, 3, 4, 3, 3, 4, 4, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 7, 2, 0, 3, 7, 3, 8, 3, 8, 4],[0, 0, 1, 0, 0, 1, 1, 1, 4, 2, 5, 2, 3, 3, 5, 3, 2, 4, 3, 4, 4, 4],[1, 0, 1, 1, 0, 2, 2, 2, 1, 3, 8, 3, 1, 4, 9, 4, 10, 4, 9, 5],[9, 0, 10, 0, 9, 1, 12, 1, 9, 2, 12, 2, 10, 3, 12, 3, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 7, 0, 1, 1, 2, 1, 6, 1, 8, 1, 0, 2, 1, 2, 7, 2, 8, 2, 2, 3, 7, 3],[0, 0, 0, 1, 1, 1, 2, 1, 10, 1, 11, 1, 1, 2, 10, 2, 11, 2],[4, 0, 5, 0, 6, 0, 2, 1, 3, 1, 1, 2, 0, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[5, 0, 6, 0, 4, 1, 7, 1, 7, 2, 1, 3, 6, 3, 1, 4, 5, 4, 0, 5, 3, 5, 1, 6],[6, 0, 0, 1, 1, 1, 2, 1, 4, 1, 5, 1, 7, 1, 5, 2, 7, 2, 6, 3],[7, 0, 8, 0, 0, 1, 1, 1, 8, 1, 0, 2, 1, 2, 6, 2, 7, 2, 6, 3],[1, 0, 6, 0, 1, 1, 7, 1, 0, 2, 6, 2, 1, 3, 4, 3, 5, 3, 1, 4, 4, 4, 3, 5],[3, 0, 4, 0, 5, 0, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 1, 4],[8, 0, 9, 0, 8, 1, 9, 1, 0, 3, 1, 4, 2, 4, 3, 4, 2, 5, 3, 5, 3, 6],[9, 0, 10, 0, 8, 1, 9, 1, 0, 2, 1, 2, 9, 2, 0, 3, 1, 3],[7, 0, 8, 0, 8, 1, 5, 2, 8, 2, 6, 3, 7, 3, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 4, 2, 3, 3, 3, 4],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 5, 2, 3, 3, 6, 3, 4, 4, 5, 4, 6, 4],[0, 0, 1, 0, 2, 0, 4, 0, 4, 1, 5, 2, 6, 2, 4, 3],[3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 1, 2, 2, 2, 4, 2, 0, 3],[0, 0, 1, 0, 1, 1, 3, 1, 2, 2, 3, 2, 7, 3, 8, 3, 7, 4, 8, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 3, 2, 5, 2, 1, 3, 2, 3, 5, 4],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 6, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 4, 2, 2, 3, 5, 3, 4, 4],[5, 0, 5, 1, 6, 1, 5, 2, 7, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3],[9, 0, 10, 0, 9, 1, 10, 1, 0, 2, 1, 2, 2, 2, 0, 3, 2, 3, 0, 4, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 4, 2, 1, 3, 5, 3, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 0, 2, 2, 3, 3, 3],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 5, 3, 1, 4, 2, 4, 4, 4, 5, 4, 4, 5, 5, 5],[0, 0, 0, 1, 5, 1, 0, 2, 4, 2, 6, 2, 3, 3, 7, 3, 4, 4, 7, 4],[1, 0, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 2, 3, 4, 3, 5, 3, 2, 4, 0, 5, 1, 5],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 2, 7, 2, 8, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 6, 1, 6, 2, 0, 3, 6, 3, 2, 4, 3, 4, 4, 4],[6, 0, 7, 0, 9, 0, 7, 1, 8, 1, 9, 1, 8, 2, 0, 8, 1, 8, 0, 9, 1, 9],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 2, 3, 3, 3, 4, 3, 6, 3, 5, 4],[0, 0, 1, 0, 2, 0, 3, 2, 4, 2, 2, 3, 3, 3, 4, 3, 3, 4],[6, 0, 7, 0, 8, 0, 5, 1, 8, 1, 6, 2, 7, 2, 1, 4, 0, 5, 2, 5, 1, 6, 2, 6],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 5, 3, 1, 4, 2, 4, 4, 4],[0, 0, 1, 0, 2, 0, 6, 1, 5, 2, 6, 2, 7, 2, 7, 3],[5, 0, 5, 1, 6, 1, 5, 2, 7, 2, 0, 4, 1, 4, 2, 4],[1, 0, 6, 0, 7, 0, 8, 0, 0, 1, 1, 1, 2, 1, 0, 2],[4, 0, 4, 1, 5, 2, 0, 3, 3, 3, 5, 3, 1, 4, 5, 4, 1, 5],[1, 0, 4, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 5, 4, 3, 5],[2, 0, 0, 1, 1, 1, 5, 1, 2, 2, 5, 2, 6, 2, 6, 3],[0, 0, 0, 1, 0, 2, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5],[3, 0, 5, 0, 3, 1, 5, 1, 0, 2, 3, 2, 4, 2, 5, 2, 0, 3, 0, 4],[0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 7, 2, 8, 2, 2, 3, 6, 3, 7, 3, 5, 4, 6, 4],[4, 0, 2, 1, 3, 1, 4, 1, 0, 2, 1, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 1, 1, 3, 1, 5, 2, 3, 3, 4, 3, 5, 3],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 5, 7, 6, 7, 7, 7],[6, 0, 5, 1, 6, 1, 7, 1, 7, 2, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 7, 2, 8, 2, 0, 3, 1, 3, 2, 3, 7, 3, 8, 3],[0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 4, 1, 0, 2],[6, 0, 6, 1, 0, 2, 1, 2, 2, 2, 6, 2, 2, 3, 0, 4, 1, 4, 2, 4],[2, 0, 3, 1, 1, 2, 1, 3, 2, 3, 5, 3, 6, 3, 5, 4, 1, 5, 0, 6, 2, 6, 3, 6],[6, 0, 8, 0, 5, 1, 8, 1, 0, 2, 1, 2, 2, 2, 5, 2, 8, 2, 5, 3, 6, 3],[1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 5, 2, 0, 3, 5, 3, 1, 4, 4, 4, 5, 4],[0, 0, 1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 5, 1, 5, 2, 1, 3, 4, 3],[0, 0, 1, 0, 11, 0, 0, 1, 1, 1, 9, 1, 10, 1, 11, 1, 10, 2],[0, 0, 0, 1, 4, 1, 0, 2, 5, 2, 5, 3, 6, 3, 4, 4, 5, 4, 4, 5],[6, 0, 7, 0, 5, 1, 7, 1, 0, 2, 1, 2, 4, 2, 5, 2, 0, 3, 1, 3],[6, 0, 5, 1, 7, 1, 5, 2, 7, 2, 6, 3, 1, 4, 0, 5, 1, 5, 2, 5, 0, 6],[1, 0, 6, 0, 0, 1, 2, 1, 5, 1, 7, 1, 1, 2, 2, 2, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 6, 2, 3, 3, 4, 3, 5, 3],[0, 0, 2, 0, 0, 1, 3, 1, 8, 1, 0, 2, 2, 2, 8, 2, 9, 2, 8, 3],[0, 0, 0, 1, 0, 2, 6, 5, 7, 5, 8, 5, 8, 6, 6, 7, 7, 7, 8, 7],[1, 0, 3, 0, 0, 1, 3, 1, 1, 2, 4, 2, 2, 3, 4, 3, 4, 4],[8, 0, 6, 1, 7, 1, 8, 1, 7, 2, 0, 4, 1, 4, 2, 4],[4, 0, 5, 0, 5, 1, 7, 1, 0, 2, 1, 2, 6, 2, 7, 2, 0, 3, 1, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 7, 2, 5, 3, 8, 3, 8, 4, 8, 5],[1, 0, 0, 1, 1, 1, 1, 2, 4, 2, 1, 3, 5, 3, 2, 4, 5, 4, 3, 5, 4, 5, 5, 5],[3, 0, 2, 1, 4, 1, 5, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4, 2, 5],[4, 0, 5, 0, 4, 1, 5, 1, 0, 2, 0, 3, 1, 3, 1, 4, 2, 4, 0, 5, 1, 5],[2, 0, 3, 0, 4, 0, 2, 1, 4, 1, 1, 2, 3, 2, 4, 2, 0, 4, 1, 4],[6, 0, 2, 1, 5, 1, 7, 1, 1, 2, 6, 2, 7, 2, 0, 3, 1, 3, 6, 3, 2, 4],[4, 0, 5, 0, 4, 1, 6, 1, 4, 2, 6, 2, 0, 3, 1, 3, 2, 3, 5, 3, 6, 3],[5, 0, 0, 1, 4, 1, 6, 1, 0, 2, 1, 2, 3, 2, 4, 2, 6, 2, 5, 3],[2, 0, 5, 0, 6, 0, 7, 0, 1, 1, 3, 1, 0, 2, 1, 3, 2, 4],[6, 0, 4, 1, 5, 1, 7, 1, 8, 1, 6, 2, 1, 3, 0, 4, 1, 4, 1, 5],[0, 0, 1, 0, 9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 10, 1, 8, 2],[4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 8, 4, 9, 4, 6, 5, 8, 5, 6, 6, 7, 6],[5, 0, 5, 1, 6, 1, 7, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 4],[6, 0, 7, 0, 1, 1, 5, 1, 7, 1, 0, 2, 2, 2, 6, 2, 0, 3, 2, 3, 0, 4, 1, 4],[6, 0, 7, 0, 5, 1, 8, 1, 0, 2, 6, 2, 7, 2, 0, 3, 1, 3, 1, 4, 2, 4, 2, 5],[2, 0, 3, 0, 1, 1, 6, 1, 7, 1, 0, 2, 4, 2, 7, 2, 0, 3, 3, 3, 1, 4],[3, 0, 4, 0, 1, 1, 5, 1, 1, 2, 6, 2, 0, 3, 1, 3, 5, 3],[0, 0, 5, 0, 0, 1, 2, 1, 3, 1, 4, 1, 6, 1, 2, 2, 6, 2, 3, 3, 5, 3, 4, 4],[9, 0, 10, 0, 9, 1, 10, 1, 1, 3, 3, 3, 0, 4, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6],[0, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 0, 1, 5, 1, 5, 2, 1, 3, 4, 3, 3, 4],[5, 0, 6, 0, 7, 0, 0, 2, 1, 2, 2, 2, 0, 3, 2, 3, 0, 4, 2, 4],[1, 0, 3, 0, 1, 1, 0, 2, 5, 2, 1, 3, 6, 3, 1, 4, 5, 4, 3, 5, 4, 5],[1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 3, 2, 5, 2, 6, 2, 5, 3, 6, 3],[5, 0, 6, 0, 8, 1, 0, 2, 6, 2, 9, 2, 0, 3, 8, 3, 0, 4],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 4, 5, 5, 5, 6, 5],[7, 0, 6, 1, 8, 1, 6, 2, 8, 2, 7, 3, 1, 4, 0, 5, 1, 5, 2, 5, 0, 6],[5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 2, 2, 5, 2, 6, 2, 2, 3],[4, 0, 5, 1, 6, 1, 4, 3, 0, 4, 1, 4, 4, 4, 5, 4, 1, 5, 2, 5, 4, 5, 2, 6],[1, 0, 2, 0, 2, 1, 3, 1, 0, 2, 2, 2, 8, 2, 9, 2, 0, 3, 1, 3, 8, 3, 9, 3],[0, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 8, 1, 9, 1, 7, 2, 9, 2, 0, 3, 1, 3, 8, 3, 0, 4, 1, 4],[5, 0, 6, 0, 4, 1, 7, 1, 5, 2, 6, 2, 1, 5, 2, 5, 0, 6, 1, 6, 1, 7, 2, 7],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 5, 2, 6, 2, 7, 2],[7, 0, 8, 0, 1, 1, 3, 1, 7, 1, 8, 1, 9, 1, 0, 2, 3, 2, 4, 2, 7, 2, 0, 3],[7, 0, 8, 0, 7, 1, 8, 1, 0, 3, 1, 3, 1, 4, 3, 4, 2, 5, 3, 5],[1, 0, 3, 0, 4, 0, 5, 0, 6, 0, 0, 1, 6, 1, 1, 2, 5, 2, 2, 3],[2, 0, 4, 0, 0, 1, 5, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[2, 0, 0, 1, 1, 1, 2, 1, 6, 1, 6, 2, 7, 2, 6, 3],[0, 0, 2, 0, 5, 0, 0, 1, 5, 1, 0, 2, 1, 2, 3, 2, 4, 2],[0, 0, 1, 0, 3, 1, 4, 1, 5, 1, 1, 2, 2, 2, 4, 2, 6, 2, 2, 3],[6, 0, 7, 0, 8, 0, 2, 2, 3, 2, 0, 3, 3, 3, 0, 4, 3, 4, 0, 5, 2, 5],[2, 0, 4, 0, 2, 1, 4, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3],[1, 0, 2, 0, 2, 1, 7, 1, 8, 1, 0, 2, 8, 2, 6, 3, 8, 3, 6, 4, 8, 4, 8, 5],[0, 0, 1, 0, 2, 0, 9, 0, 10, 0, 1, 1, 3, 1, 9, 1, 10, 1, 2, 2, 3, 2],[3, 0, 4, 0, 5, 0, 2, 1, 6, 1, 1, 2, 6, 2, 0, 3, 6, 3, 1, 4, 5, 4, 4, 5],[6, 0, 6, 1, 6, 2, 2, 3, 1, 4, 2, 4, 0, 5, 1, 5, 1, 6, 2, 6],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 1, 3, 2, 3, 5, 3, 2, 4, 4, 4],[0, 0, 1, 0, 1, 2, 2, 2, 3, 2, 2, 3, 4, 3, 5, 3, 4, 4, 5, 4],[3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 4, 3, 1, 4, 3, 4],[0, 0, 1, 0, 2, 0, 3, 1, 0, 2, 3, 2, 4, 2, 2, 3, 5, 3, 3, 4, 4, 4, 5, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 6, 2, 7, 2, 1, 3, 6, 3, 7, 3],[1, 0, 2, 0, 0, 1, 2, 2, 4, 2, 5, 2, 5, 3, 4, 4, 5, 4],[1, 0, 3, 0, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 1, 4, 3, 4, 3, 5, 4, 5, 5, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 6, 3, 5, 4, 5, 5, 8, 5, 6, 6, 7, 6],[0, 0, 1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 8, 4, 9, 4, 8, 5, 9, 5],[4, 0, 0, 1, 2, 1, 5, 1, 0, 2, 4, 2, 2, 3, 3, 3, 1, 4],[0, 0, 1, 0, 2, 0, 4, 0, 1, 1, 3, 1, 2, 2, 3, 2, 4, 2],[1, 0, 0, 1, 3, 1, 4, 1, 7, 1, 1, 2, 6, 2, 2, 3, 6, 3, 3, 4, 4, 4],[2, 0, 1, 1, 2, 1, 0, 2, 0, 3, 1, 3, 6, 5, 7, 5, 6, 6, 7, 6],[5, 0, 6, 0, 0, 1, 5, 1, 6, 1, 0, 2, 1, 2, 1, 3, 2, 3, 0, 4, 1, 4],[1, 0, 6, 0, 7, 0, 8, 0, 0, 1, 1, 1, 1, 2, 2, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 5, 7, 5, 8, 5, 6, 6, 6, 7, 7, 7, 8, 7],[7, 0, 8, 0, 7, 1, 9, 1, 9, 2, 8, 3, 9, 3, 0, 5, 1, 5, 0, 6, 1, 6],[5, 0, 4, 1, 6, 1, 0, 2, 1, 2, 3, 2, 7, 2, 0, 3, 1, 3, 4, 3, 5, 3, 6, 3],[1, 0, 2, 0, 0, 1, 0, 2, 4, 2, 5, 2, 0, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 2, 0, 0, 1, 0, 2, 4, 2, 5, 2, 7, 2, 2, 3, 3, 3, 6, 3, 7, 3],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 3, 2, 2, 3, 3, 3],[0, 0, 0, 1, 0, 2, 6, 4, 7, 4, 4, 5, 6, 5, 7, 5, 4, 6, 5, 6],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 5, 1, 1, 2, 3, 2, 2, 3],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 9, 3, 10, 3, 9, 4, 10, 4],[5, 0, 0, 1, 1, 1, 2, 1, 6, 1, 0, 2, 3, 2, 5, 2, 2, 4, 4, 4],[0, 0, 0, 1, 0, 2, 5, 2, 6, 2, 6, 3, 7, 3, 5, 4, 6, 4, 5, 5],[10, 0, 11, 0, 12, 0, 12, 1, 10, 2, 11, 2, 12, 2, 0, 5, 1, 5, 0, 6, 1, 6],[0, 0, 2, 0, 4, 0, 5, 0, 0, 1, 4, 1, 0, 2, 2, 3],[4, 0, 2, 1, 5, 1, 1, 2, 2, 2, 5, 2, 0, 3, 0, 4, 1, 4, 2, 4],[2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 4, 2, 2, 3, 0, 4, 1, 4],[1, 0, 0, 1, 1, 1, 0, 2, 5, 2, 6, 3, 5, 4, 6, 4, 7, 4],[1, 0, 5, 0, 0, 1, 6, 1, 7, 1, 0, 2, 3, 2, 5, 2, 1, 3, 2, 3],[4, 0, 5, 0, 6, 0, 0, 1, 1, 1, 0, 2, 1, 3, 2, 3, 2, 4],[1, 0, 0, 1, 5, 1, 0, 2, 0, 3, 1, 3, 5, 3, 6, 3, 2, 4, 4, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 4, 3, 4, 4, 5, 4, 4, 5],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3],[8, 0, 9, 0, 10, 0, 0, 3, 0, 4, 0, 5, 0, 6, 1, 6, 0, 7, 1, 7],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 3, 2, 2, 3, 3, 3, 5, 3, 4, 4, 6, 4],[0, 0, 0, 1, 5, 1, 0, 2, 3, 2, 4, 2, 2, 3, 3, 3, 4, 3],[3, 0, 4, 0, 2, 1, 4, 1, 1, 2, 2, 2, 4, 2, 1, 3, 3, 3, 0, 4, 2, 4],[6, 0, 6, 1, 5, 2, 7, 2, 1, 3, 2, 3, 6, 3, 0, 4, 2, 4, 6, 4, 1, 5],[1, 0, 3, 0, 4, 0, 0, 1, 5, 1, 1, 2, 6, 2, 3, 3, 5, 3, 4, 4],[3, 0, 4, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 4, 2, 0, 3, 1, 4],[1, 0, 4, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 1, 5, 2, 4, 3],[4, 0, 2, 1, 3, 1, 4, 1, 0, 2, 1, 2, 3, 2, 0, 3],[2, 0, 3, 0, 1, 2, 5, 2, 0, 3, 3, 3, 5, 3, 6, 3, 0, 4, 1, 4, 4, 4, 5, 4],[1, 0, 2, 0, 0, 1, 3, 1, 9, 1, 1, 2, 3, 2, 8, 2, 9, 2, 10, 2, 2, 3],[2, 0, 3, 0, 4, 0, 1, 1, 0, 2, 1, 2, 1, 3, 5, 3, 2, 4, 3, 4, 5, 4],[6, 0, 7, 0, 6, 1, 7, 1, 0, 4, 1, 4, 1, 5, 3, 5, 2, 6, 3, 6],[0, 0, 1, 0, 5, 0, 1, 1, 5, 1, 6, 1, 6, 2, 7, 2, 7, 3, 6, 4],[0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 1, 2, 4, 2, 2, 3, 4, 3, 3, 4, 4, 4],[2, 0, 3, 0, 4, 0, 5, 1, 10, 1, 5, 2, 9, 2, 10, 2, 0, 3, 5, 3, 0, 4, 2, 4],[5, 0, 5, 1, 6, 1, 7, 1, 7, 2, 6, 3, 7, 3, 0, 4, 0, 5, 0, 6],[9, 0, 10, 0, 9, 1, 10, 1, 0, 4, 1, 4, 0, 5, 3, 5, 0, 6, 3, 6, 1, 7, 3, 7],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 8, 3, 8, 4, 8, 5],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 6, 4, 5, 5, 6, 5, 7, 5, 7, 6],[0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 8, 3, 9, 3, 8, 4, 9, 4],[6, 0, 8, 0, 9, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 0, 2, 1, 2, 7, 2],[0, 0, 0, 1, 1, 1, 0, 2, 6, 2, 5, 3, 7, 3, 5, 5, 6, 5, 7, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 4, 3, 6, 3, 3, 4, 4, 5],[4, 0, 4, 1, 5, 1, 0, 2, 5, 2, 6, 2, 5, 3, 2, 4, 4, 4, 3, 5],[7, 0, 0, 1, 1, 1, 7, 1, 8, 1, 0, 2, 2, 2, 6, 2, 8, 2, 1, 3, 7, 3],[2, 0, 4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 4, 2, 6, 2, 7, 2, 1, 3],[0, 0, 0, 1, 7, 1, 0, 2, 6, 2, 7, 2, 5, 3, 6, 3, 5, 4],[1, 0, 0, 1, 2, 1, 4, 1, 5, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 4, 1, 5, 1, 6, 1, 8, 2, 8, 3],[0, 0, 4, 0, 0, 1, 1, 1, 5, 1, 6, 2, 5, 3, 0, 4, 1, 4, 2, 4],[6, 0, 8, 0, 5, 1, 8, 1, 6, 2, 8, 2, 1, 4, 0, 5, 1, 5, 2, 5],[1, 0, 1, 1, 0, 2, 2, 2, 1, 3, 5, 3, 6, 3, 7, 3, 1, 4, 5, 5, 7, 5, 6, 6],[3, 0, 4, 0, 5, 0, 5, 1, 4, 2, 0, 3, 1, 3, 5, 3, 0, 4, 1, 4],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 1, 2, 3, 2, 5, 3, 4, 4],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 3, 3, 5, 3],[0, 0, 1, 0, 2, 0, 7, 2, 9, 2, 7, 3, 9, 3, 7, 4, 8, 4, 9, 4],[6, 0, 7, 0, 1, 1, 5, 1, 8, 1, 1, 2, 2, 2, 6, 2, 7, 2, 0, 3, 1, 3],[0, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 5, 5, 5],[0, 0, 2, 0, 4, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 2],[8, 0, 9, 0, 10, 0, 0, 1, 1, 1, 0, 2, 1, 2, 8, 2, 11, 2, 9, 3, 10, 3, 11, 3],[3, 0, 4, 0, 5, 0, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 0, 4],[1, 0, 2, 0, 3, 0, 0, 2, 1, 2, 2, 2, 10, 4, 11, 4, 10, 5, 11, 5],[1, 0, 2, 0, 4, 0, 5, 0, 1, 1, 4, 1, 0, 2, 1, 2, 1, 3],[1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 3, 2, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[9, 0, 8, 1, 10, 1, 8, 2, 10, 2, 9, 3, 0, 6, 1, 6, 0, 7, 3, 7, 4, 7, 5, 7],[1, 0, 2, 0, 0, 1, 2, 1, 5, 1, 6, 1, 0, 2, 6, 2, 1, 3, 4, 3, 5, 3, 1, 4],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 4, 2, 5, 2, 2, 3, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 2, 0, 6, 2, 7, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3],[4, 0, 1, 1, 5, 1, 5, 2, 0, 3, 1, 3, 2, 3, 4, 3, 5, 3],[0, 0, 2, 0, 5, 0, 7, 0, 0, 1, 3, 1, 5, 1, 7, 1, 0, 2, 2, 2, 6, 2],[1, 0, 3, 0, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 3, 2, 6, 2, 4, 4, 5, 4, 6, 4],[0, 0, 1, 0, 2, 0, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3, 6, 4, 7, 4],[8, 0, 9, 0, 0, 1, 1, 1, 8, 1, 9, 1, 1, 2, 3, 2, 2, 3, 3, 3],[0, 0, 1, 0, 2, 0, 3, 0, 0, 1, 5, 1, 0, 2, 1, 2, 5, 2, 5, 3],[6, 0, 7, 0, 8, 0, 8, 1, 6, 2, 7, 3, 1, 5, 2, 5, 0, 6, 3, 6, 1, 7, 2, 7],[2, 0, 1, 1, 2, 1, 3, 1, 1, 2, 4, 2, 0, 3, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 12, 3, 13, 3, 12, 4, 13, 4],[7, 0, 8, 0, 9, 0, 7, 1, 9, 1, 7, 2, 9, 2, 0, 8, 1, 8, 0, 9, 1, 9],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 2, 3, 9, 3, 8, 4, 10, 4, 8, 5, 9, 5],[2, 0, 9, 0, 0, 1, 1, 1, 2, 1, 8, 1, 10, 1, 11, 1, 9, 2, 10, 2],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 3, 3, 7, 3, 5, 4, 6, 4, 7, 4],[0, 0, 1, 0, 2, 0, 4, 2, 5, 2, 6, 2, 3, 3, 6, 3, 3, 5, 4, 5, 5, 5],[4, 0, 5, 0, 6, 0, 4, 1, 6, 2, 0, 3, 1, 3, 4, 3, 1, 4, 3, 4],[5, 0, 5, 1, 7, 1, 1, 2, 7, 2, 8, 2, 9, 2, 0, 3, 1, 3, 2, 3],[1, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 5, 2, 1, 3, 2, 3, 4, 3, 3, 4],[1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 4, 1, 6, 1, 0, 2, 1, 2, 4, 2],[3, 0, 4, 0, 5, 0, 3, 1, 3, 2, 4, 2, 5, 2, 0, 5, 1, 5, 2, 5],[0, 0, 3, 0, 5, 0, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 6, 2, 7, 2, 5, 3, 8, 3, 6, 4, 7, 4],[5, 0, 6, 0, 4, 1, 7, 1, 7, 2, 1, 3, 7, 3, 0, 4, 1, 4, 3, 4, 6, 4],[8, 0, 9, 0, 7, 1, 8, 1, 8, 2, 0, 6, 1, 6, 0, 7, 1, 7],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 3, 6, 3, 7, 4, 5, 5, 6, 5],[7, 0, 8, 0, 2, 1, 7, 1, 8, 1, 1, 2, 2, 2, 3, 2, 0, 3, 1, 3, 3, 3],[0, 0, 7, 0, 0, 1, 1, 1, 5, 1, 7, 1, 0, 2, 7, 2],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 3, 3, 5, 3, 4, 4, 5, 4],[4, 0, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 1, 3, 0, 4, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 5, 2, 7, 2, 4, 3, 6, 3, 7, 3],[0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 3, 2, 1, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 1, 1, 5, 1, 2, 2, 3, 2, 5, 2, 3, 3, 4, 3],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 6, 1, 0, 2, 7, 2, 1, 3, 6, 3, 5, 4],[5, 0, 7, 0, 5, 1, 1, 2, 5, 2, 6, 2, 7, 2, 0, 3, 2, 3, 0, 4, 2, 4, 1, 5],[5, 0, 2, 1, 6, 1, 0, 2, 6, 2, 0, 3, 1, 3, 2, 3, 5, 3, 6, 3, 1, 4],[0, 0, 1, 0, 2, 0, 6, 1, 7, 1, 8, 1, 7, 2, 6, 3],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 4, 6, 5, 6, 6, 6],[0, 0, 1, 0, 0, 1, 1, 1, 9, 3, 10, 3, 11, 3, 11, 4, 9, 5, 11, 5, 9, 6, 10, 6],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 6, 2, 0, 3, 2, 3, 3, 3, 4, 3, 5, 3],[5, 0, 3, 1, 6, 1, 7, 1, 1, 2, 2, 2, 4, 2, 3, 4, 1, 5, 2, 5, 0, 6],[4, 0, 6, 0, 3, 1, 6, 1, 4, 2, 6, 2, 0, 3, 1, 3, 1, 4, 2, 4],[5, 0, 4, 1, 5, 1, 0, 2, 1, 2, 3, 2, 0, 3, 1, 3, 4, 3],[0, 0, 8, 0, 9, 0, 0, 1, 8, 1, 9, 1, 0, 2, 3, 2, 1, 3, 2, 3],[7, 0, 8, 0, 9, 0, 0, 2, 1, 2, 2, 2, 0, 3, 3, 3, 1, 5, 2, 5, 3, 5],[1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 1, 4, 5, 4, 3, 5, 4, 5],[3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 4, 2, 5, 2, 0, 3, 4, 3, 5, 3, 1, 4, 2, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 3, 6, 3, 1, 4, 2, 5, 3, 5, 4, 5, 5, 5],[2, 0, 3, 0, 1, 1, 4, 1, 7, 1, 0, 2, 1, 2, 7, 2, 2, 3, 7, 3, 7, 4, 7, 5],[8, 0, 9, 0, 8, 1, 9, 1, 0, 4, 1, 4, 2, 4, 0, 5, 2, 5, 0, 6, 2, 6],[0, 0, 1, 0, 0, 1, 1, 1, 10, 1, 9, 2, 10, 2, 11, 2, 11, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 4, 3, 5, 3, 0, 4, 2, 4],[0, 0, 0, 1, 0, 2, 5, 2, 6, 2, 5, 3, 7, 3, 7, 4, 8, 4, 6, 6, 11, 7],[5, 0, 6, 0, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 1, 3, 2, 4],[3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 2, 2, 5, 2, 1, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3, 6, 3, 6, 4, 6, 5],[2, 0, 1, 1, 2, 1, 6, 1, 7, 1, 0, 2, 1, 2, 7, 2, 8, 2, 6, 3, 7, 3],[4, 0, 5, 0, 0, 1, 1, 1, 3, 1, 6, 1, 1, 2, 6, 2, 2, 3, 3, 3, 4, 3, 5, 3],[1, 0, 4, 0, 0, 1, 0, 2, 1, 2, 4, 2, 5, 2, 4, 3, 6, 3, 5, 4, 5, 5],[2, 0, 5, 0, 0, 1, 2, 1, 5, 1, 6, 1, 3, 2, 5, 2, 2, 3],[2, 0, 1, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 2, 4, 3, 4, 5, 4],[10, 0, 11, 0, 0, 1, 10, 1, 11, 1, 0, 2, 1, 2, 2, 2, 1, 3],[4, 0, 1, 1, 8, 1, 9, 1, 0, 2, 8, 2, 9, 2, 0, 3, 1, 4, 2, 4, 3, 4],[0, 0, 5, 0, 0, 1, 4, 1, 5, 1, 0, 2, 5, 2, 6, 2],[1, 0, 2, 0, 0, 1, 4, 1, 5, 2, 3, 3, 5, 3, 1, 4, 2, 4, 4, 4, 5, 4],[0, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 2, 3, 3, 3, 4, 3, 4, 4],[2, 0, 1, 1, 3, 1, 0, 2, 4, 3, 1, 4, 2, 4, 4, 4, 5, 4, 4, 5],[0, 0, 1, 0, 2, 0, 6, 4, 8, 4, 6, 5, 7, 5, 6, 6],[8, 0, 7, 1, 8, 1, 9, 1, 1, 2, 2, 2, 9, 2, 0, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 4, 0, 2, 1, 5, 1, 3, 3, 3, 4, 0, 5, 1, 5, 2, 5],[4, 0, 5, 0, 2, 1, 4, 1, 1, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[3, 0, 4, 0, 2, 1, 0, 3, 3, 3, 4, 3, 5, 3, 0, 4, 0, 5],[1, 0, 2, 0, 4, 0, 6, 0, 0, 1, 1, 1, 6, 1, 1, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 1, 2, 1, 5, 1, 6, 2, 3, 3, 5, 3, 6, 3],[4, 0, 5, 0, 6, 0, 3, 1, 6, 1, 3, 3, 4, 3, 5, 3, 0, 6, 1, 6, 2, 6],[0, 0, 1, 0, 2, 0, 7, 1, 5, 2, 6, 2, 8, 2, 6, 3, 8, 3, 7, 4],[1, 0, 3, 0, 1, 1, 4, 1, 0, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 10, 4, 8, 5, 9, 5, 10, 5, 9, 6],[0, 0, 0, 1, 0, 2, 6, 2, 8, 2, 6, 3, 8, 3, 6, 4, 7, 4, 8, 4],[0, 0, 0, 1, 0, 2, 4, 2, 2, 3, 4, 3, 4, 4],[5, 0, 6, 0, 6, 1, 7, 1, 1, 3, 0, 4, 0, 5, 0, 6, 1, 6],[3, 0, 4, 0, 1, 1, 3, 1, 1, 2, 3, 2, 0, 3, 2, 3, 1, 4],[2, 0, 1, 1, 3, 1, 0, 2, 5, 2, 7, 2, 1, 3, 7, 3, 7, 4, 3, 5, 4, 5, 5, 5],[2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 4, 2, 3, 3, 4, 3],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 1, 3, 9, 3, 10, 3, 9, 4, 10, 4],[6, 0, 7, 0, 8, 0, 6, 1, 9, 1, 8, 2, 9, 2, 0, 5, 1, 5, 0, 6, 1, 6],[5, 0, 6, 0, 1, 1, 2, 1, 3, 1, 6, 1, 0, 2, 5, 2, 5, 3, 0, 4],[5, 0, 6, 0, 6, 1, 7, 1, 1, 2, 2, 2, 6, 2, 0, 3, 1, 3],[1, 0, 8, 0, 0, 1, 1, 1, 2, 1, 8, 1, 0, 2, 8, 2],[2, 0, 4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 2, 3, 3, 3, 1, 4, 2, 4],[6, 0, 6, 1, 1, 2, 2, 2, 6, 2, 0, 3, 3, 3, 0, 4, 3, 4, 1, 5, 3, 5],[2, 0, 3, 0, 1, 1, 2, 1, 7, 2, 8, 2, 0, 3, 1, 4, 2, 4, 3, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 3, 1, 4, 2, 4, 3, 4, 4, 4],[1, 0, 0, 1, 2, 1, 5, 1, 8, 1, 6, 2, 8, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3],[20, 0, 21, 0, 20, 1, 21, 1, 1, 5, 0, 6, 1, 6, 2, 6, 0, 7, 2, 7, 3, 10],[0, 0, 1, 0, 1, 1, 4, 1, 4, 2, 1, 3, 4, 3, 1, 4, 2, 4],[5, 0, 6, 0, 4, 1, 6, 1, 4, 2, 6, 2, 0, 3, 4, 3, 5, 3, 0, 4, 0, 5],[0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 5, 1, 4, 2, 5, 2, 6, 2],[1, 0, 0, 1, 1, 1, 1, 2, 6, 4, 4, 5, 5, 5, 7, 5, 8, 5, 6, 6],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 3, 2, 4, 2, 0, 3, 3, 3],[0, 0, 1, 0, 2, 0, 5, 1, 6, 2, 7, 2, 8, 2, 8, 4, 6, 5, 7, 5],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 1, 2, 4, 2, 5, 2, 2, 3, 3, 4, 5, 4, 4, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 7, 4, 8, 4, 6, 5, 9, 5, 7, 6, 8, 6],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 3, 4, 3, 6, 3, 7, 3, 6, 4, 7, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 3, 2, 1, 3, 5, 3, 2, 4, 2, 5, 4, 5],[0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 3, 2, 4, 2],[1, 0, 0, 1, 2, 1, 3, 2, 1, 3, 3, 3, 2, 4, 4, 4, 5, 5, 6, 5],[0, 0, 0, 1, 1, 1, 2, 1, 7, 1, 8, 1, 1, 2, 6, 2, 9, 2, 7, 3, 8, 3],[1, 0, 2, 0, 2, 1, 5, 2, 6, 2, 1, 3, 2, 3, 4, 3, 0, 4],[1, 0, 0, 1, 1, 1, 4, 1, 5, 2, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 8, 5, 5, 6, 8, 6, 6, 7, 7, 7],[1, 0, 2, 0, 0, 1, 0, 2, 5, 2, 0, 3, 6, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 3, 0, 4, 0, 1, 1, 1, 2, 5, 2, 2, 3, 5, 3, 3, 4, 4, 4],[7, 0, 8, 0, 6, 1, 9, 1, 9, 2, 0, 3, 1, 3, 9, 3, 0, 4, 1, 4],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 5, 2, 6, 2, 7, 2],[0, 0, 1, 0, 0, 1, 3, 1, 4, 1, 1, 2, 2, 2, 4, 2, 4, 3],[2, 0, 1, 1, 2, 1, 0, 2, 0, 3, 2, 3, 0, 4, 2, 4, 3, 4, 4, 4, 5, 4],[3, 0, 4, 0, 2, 1, 3, 1, 5, 1, 1, 2, 5, 2, 0, 3, 1, 3, 5, 3, 1, 4, 4, 4],[2, 0, 1, 1, 2, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 5, 3, 5, 4, 6, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 6, 2, 0, 3, 5, 3, 0, 4, 1, 4, 3, 5],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 2, 2, 3, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 8, 2, 0, 3, 1, 3, 2, 3, 8, 3, 8, 4],[7, 0, 6, 1, 7, 1, 8, 1, 8, 2, 0, 3, 1, 3, 2, 3],[2, 0, 4, 0, 1, 1, 0, 2, 0, 3, 6, 3, 0, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 1, 1, 2, 1, 5, 1, 6, 1, 7, 1, 1, 2],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 5, 2, 1, 3, 2, 3, 4, 3, 5, 3],[1, 0, 0, 1, 2, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3, 8, 3],[4, 0, 2, 1, 5, 1, 6, 2, 0, 3, 5, 3, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4, 1, 5],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 4, 5, 5, 5, 6, 5],[4, 0, 5, 0, 6, 0, 5, 1, 0, 3, 2, 3, 1, 4, 1, 5],[1, 0, 6, 0, 0, 1, 3, 1, 4, 1, 5, 1, 7, 1, 8, 1, 1, 2, 6, 2],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 6, 2, 7, 2, 5, 3, 8, 3, 5, 4, 7, 4, 8, 4],[0, 0, 2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 3, 2, 4, 2, 2, 3, 3, 3],[2, 0, 3, 0, 0, 1, 5, 1, 0, 2, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[1, 0, 0, 1, 2, 1, 6, 1, 3, 2, 5, 2, 7, 2, 2, 3, 6, 3, 7, 3, 0, 4],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 4, 4, 5, 4, 3, 5, 6, 5, 4, 6, 5, 6, 6, 6],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 5, 2, 7, 2, 4, 3, 7, 3, 5, 4, 7, 4],[6, 0, 7, 0, 8, 0, 7, 1, 8, 2, 0, 6, 1, 6, 0, 7, 1, 7],[5, 0, 6, 0, 5, 1, 0, 2, 1, 2, 4, 2, 1, 3, 3, 3],[0, 0, 1, 0, 2, 0, 4, 1, 0, 2, 4, 2, 5, 2, 3, 3, 4, 3],[2, 0, 3, 0, 4, 1, 5, 1, 0, 2, 5, 2, 0, 3, 5, 3, 0, 4, 4, 4, 2, 5],[1, 0, 3, 0, 0, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3, 4, 3],[1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 2, 2, 3],[4, 0, 5, 0, 5, 1, 6, 1, 5, 2, 0, 4, 0, 5, 1, 5, 1, 6],[2, 0, 3, 0, 4, 0, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 2, 3, 3, 3, 1, 4],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 4, 3, 6, 3, 1, 4],[5, 0, 5, 1, 6, 1, 0, 2, 1, 2, 2, 2, 7, 2, 5, 3, 6, 3, 5, 4],[5, 0, 3, 1, 5, 1, 2, 2, 3, 2, 5, 2, 2, 3, 0, 4, 1, 4, 2, 4],[3, 0, 4, 0, 0, 1, 1, 1, 1, 2, 4, 2, 5, 2, 4, 3, 3, 4],[1, 0, 3, 0, 5, 0, 6, 0, 0, 1, 6, 1, 1, 2, 6, 2, 2, 3, 3, 3, 4, 3],[3, 0, 4, 0, 5, 0, 0, 3, 1, 4, 0, 5, 1, 5, 2, 5],[1, 0, 3, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3, 1, 4, 2, 4],[5, 0, 6, 0, 4, 1, 7, 1, 7, 2, 7, 3, 0, 4, 6, 4, 0, 5, 0, 6],[5, 0, 3, 1, 4, 1, 6, 1, 2, 2, 4, 2, 1, 3, 4, 3, 5, 3, 0, 4, 1, 5, 2, 5],[5, 0, 6, 0, 6, 1, 7, 1, 0, 2, 1, 2, 4, 2, 6, 2, 0, 3, 1, 3, 4, 3, 5, 3],[6, 0, 6, 1, 6, 2, 0, 4, 0, 5, 1, 5, 2, 5, 1, 6],[6, 0, 6, 1, 7, 1, 8, 2, 7, 3, 8, 3, 0, 4, 1, 4, 0, 5, 1, 5],[7, 0, 9, 0, 0, 1, 1, 1, 2, 1, 7, 1, 9, 1, 7, 2, 8, 2, 9, 2],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 3, 3, 2, 4, 3, 4],[2, 0, 3, 0, 3, 1, 4, 1, 6, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3],[2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 5, 3, 2, 4, 5, 4, 2, 5, 5, 5],[1, 0, 2, 0, 0, 1, 1, 1, 4, 4, 5, 4, 6, 4, 5, 5, 4, 6],[0, 0, 1, 0, 2, 0, 3, 2, 5, 2, 6, 2, 6, 3, 1, 4, 4, 4, 6, 4],[5, 0, 6, 0, 4, 1, 5, 1, 5, 2, 0, 3, 2, 3, 0, 4, 3, 4, 0, 5, 2, 5],[0, 0, 1, 0, 0, 1, 1, 1, 8, 3, 9, 3, 7, 4, 9, 4, 7, 5, 8, 5, 7, 6],[2, 0, 3, 0, 1, 1, 3, 1, 7, 1, 8, 1, 1, 2, 3, 2, 7, 2, 8, 2, 0, 3, 1, 3],[9, 0, 10, 0, 11, 0, 11, 1, 0, 2, 1, 2, 2, 2, 9, 2, 10, 2, 11, 2],[1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 4, 1, 5, 1, 4, 2, 5, 2, 1, 3, 2, 3, 3, 3],[3, 0, 2, 1, 3, 1, 4, 1, 2, 2, 0, 3, 1, 3, 2, 3, 3, 4, 6, 4, 3, 5, 5, 5],[3, 0, 4, 0, 0, 2, 2, 2, 3, 2, 4, 2, 5, 2, 1, 3, 11, 6, 12, 6, 11, 7, 12, 7],[3, 0, 4, 0, 3, 1, 5, 1, 5, 2, 6, 2, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 3, 4, 3, 4, 4],[4, 0, 3, 1, 5, 1, 0, 2, 1, 2, 2, 2, 3, 2, 6, 2, 4, 3, 5, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 2, 3, 3, 3, 4, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 2, 3, 3, 3, 5, 3, 4, 4],[5, 0, 0, 1, 1, 1, 4, 1, 5, 1, 6, 1, 0, 2, 1, 2, 2, 3],[5, 0, 6, 0, 5, 1, 7, 1, 8, 1, 0, 2, 1, 2, 0, 3, 1, 3, 6, 3, 8, 3, 7, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 5, 3, 4, 4, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 9, 6, 10, 6, 9, 7, 10, 7],[0, 0, 0, 1, 0, 2, 6, 2, 6, 3, 7, 3, 5, 4, 6, 4],[7, 0, 1, 1, 6, 1, 8, 1, 0, 2, 1, 2, 2, 2, 6, 2, 8, 2, 0, 3, 7, 3],[1, 0, 3, 0, 10, 0, 11, 0, 0, 1, 3, 1, 10, 1, 11, 1, 0, 2, 3, 2, 0, 3, 1, 3],[4, 0, 5, 0, 3, 1, 6, 1, 6, 2, 6, 3, 0, 4, 5, 4, 0, 5, 0, 6],[0, 0, 1, 0, 3, 0, 0, 1, 2, 1, 7, 1, 8, 1, 0, 2, 7, 2, 8, 2],[3, 0, 3, 1, 4, 1, 5, 1, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 4, 4, 2, 5],[1, 0, 2, 0, 4, 0, 0, 1, 2, 1, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 1, 4, 2, 4],[4, 0, 5, 0, 2, 1, 3, 1, 6, 1, 1, 2, 5, 2, 0, 3, 1, 3, 5, 3, 1, 4, 3, 4],[0, 0, 0, 2, 2, 2, 3, 2, 4, 2, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 2, 4, 6, 4, 7, 5, 4, 6, 6, 6],[2, 0, 1, 1, 2, 1, 0, 2, 6, 2, 1, 3, 2, 3, 3, 3, 7, 3, 2, 4, 6, 4, 5, 5],[0, 0, 1, 0, 1, 1, 3, 1, 4, 1, 3, 3, 5, 3, 4, 4, 5, 4],[8, 0, 9, 0, 8, 1, 9, 1, 1, 5, 2, 5, 0, 6, 1, 6, 1, 7],[0, 0, 6, 0, 7, 0, 8, 0, 0, 1, 5, 1, 8, 1, 0, 2, 5, 3, 6, 3, 7, 3],[1, 0, 3, 0, 4, 0, 5, 0, 0, 1, 2, 1, 0, 2, 4, 2, 5, 2, 1, 3, 2, 3, 3, 3],[8, 0, 2, 1, 3, 1, 8, 1, 0, 2, 3, 2, 8, 2, 0, 3, 3, 3, 0, 4, 2, 4],[2, 0, 1, 1, 5, 1, 0, 2, 5, 2, 6, 2, 0, 3, 6, 3, 0, 4, 3, 4, 4, 4, 1, 5],[0, 0, 1, 0, 2, 0, 7, 1, 8, 1, 9, 1, 6, 2, 9, 2, 6, 3, 7, 3, 8, 3],[1, 0, 3, 0, 0, 1, 5, 1, 1, 2, 5, 2, 2, 3, 6, 3, 4, 4, 5, 4, 4, 5, 5, 5],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 6, 3, 6, 4, 6, 5],[0, 0, 2, 0, 0, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 2, 3, 3, 3],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 4, 6, 5, 6, 6, 6],[7, 0, 6, 1, 8, 2, 1, 3, 6, 3, 7, 3, 8, 3, 0, 4, 2, 4, 1, 5],[2, 0, 1, 1, 3, 1, 0, 2, 1, 3, 6, 3, 2, 4, 3, 4, 6, 4, 3, 5, 6, 5],[0, 0, 1, 0, 2, 0, 6, 0, 7, 0, 0, 1, 6, 1, 7, 1, 1, 2, 0, 3],[0, 0, 3, 0, 4, 0, 3, 1, 4, 1, 0, 2, 1, 2, 5, 2, 4, 3, 5, 3],[1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 4, 2, 1, 3, 5, 3, 1, 4, 5, 4, 3, 5, 4, 5],[4, 0, 5, 0, 7, 0, 8, 0, 0, 1, 5, 1, 7, 1, 0, 2, 6, 2, 0, 3],[4, 0, 5, 1, 1, 2, 6, 2, 0, 3, 1, 3, 4, 3, 5, 3, 1, 4, 2, 5],[4, 0, 5, 0, 4, 1, 5, 1, 0, 2, 1, 2, 2, 2, 1, 3, 2, 4],[6, 0, 1, 1, 2, 1, 6, 1, 0, 2, 3, 2, 6, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 0, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 1, 4, 1, 3, 2, 5, 2, 1, 3, 4, 3, 5, 3, 0, 4, 1, 5, 2, 5, 3, 5],[4, 0, 5, 0, 7, 0, 5, 1, 6, 1, 7, 1, 6, 2, 0, 3, 1, 3, 0, 4, 1, 4],[8, 0, 8, 1, 8, 2, 1, 5, 2, 6, 0, 7, 0, 8, 1, 8, 2, 8],[2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 5, 4, 6, 4, 7, 4],[3, 0, 5, 0, 2, 1, 6, 1, 1, 2, 5, 2, 0, 3, 0, 4, 3, 4, 1, 5, 2, 5],[0, 0, 0, 1, 0, 2, 9, 2, 10, 2, 11, 2, 12, 2, 10, 3, 11, 3, 12, 3],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 2, 4, 2, 3, 3, 4, 3],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 1, 3, 4, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 6, 1, 7, 1, 6, 2, 7, 2, 3, 3, 0, 4, 1, 4, 2, 4, 1, 5],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 3, 2, 3, 3, 3, 1, 4],[0, 0, 2, 0, 2, 1, 0, 2, 4, 2, 5, 2, 2, 3, 3, 3, 4, 3, 3, 4],[1, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 2, 3, 4, 3, 5, 3, 2, 4, 3, 5],[0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 7, 2, 8, 2, 2, 3, 7, 3, 8, 3],[1, 0, 2, 0, 0, 1, 1, 1, 8, 1, 1, 2, 7, 2, 9, 2, 7, 3, 9, 3, 8, 4],[0, 0, 2, 0, 1, 1, 2, 1, 5, 1, 3, 2, 5, 2, 6, 2, 2, 3, 5, 3, 3, 4, 4, 4],[3, 0, 4, 0, 5, 0, 0, 2, 4, 2, 0, 3, 2, 3, 3, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 6, 0, 0, 1, 1, 1, 4, 1, 7, 1, 4, 2, 7, 2, 4, 3, 6, 3],[6, 0, 6, 1, 6, 2, 1, 3, 0, 4, 1, 4, 1, 5, 2, 5],[6, 0, 7, 0, 8, 0, 9, 1, 7, 2, 9, 2, 0, 3, 1, 3, 2, 3, 8, 3],[5, 0, 6, 0, 5, 1, 6, 1, 1, 2, 1, 3, 0, 4, 2, 4, 7, 6, 8, 6, 7, 7, 8, 7],[0, 0, 1, 0, 4, 0, 3, 1, 5, 1, 1, 2, 6, 2, 2, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 0, 1, 0, 2, 6, 2, 7, 2, 8, 2, 5, 3, 8, 3, 5, 5, 6, 5, 7, 5],[0, 0, 1, 0, 2, 0, 6, 3, 6, 4, 7, 4, 5, 5, 6, 5],[7, 0, 8, 0, 6, 1, 7, 1, 7, 2, 0, 5, 7, 5, 0, 6, 0, 7],[5, 0, 6, 0, 1, 1, 4, 1, 5, 1, 0, 2, 1, 2, 6, 2, 0, 3, 2, 3, 2, 5],[1, 0, 5, 0, 6, 0, 7, 0, 1, 1, 0, 2, 1, 2, 0, 3, 0, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 7, 6, 8, 6, 9, 6],[1, 0, 5, 0, 7, 0, 0, 1, 1, 1, 4, 1, 7, 1, 1, 2, 5, 2, 7, 2],[1, 0, 2, 0, 3, 0, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 2, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 7, 4, 8, 5, 5, 7, 6, 7, 7, 7],[1, 0, 2, 0, 3, 0, 0, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4, 4, 5],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 8, 2, 9, 2, 7, 3, 10, 3, 7, 4, 8, 4, 9, 4],[0, 0, 1, 0, 7, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 5, 2, 6, 2, 8, 2],[7, 0, 8, 0, 8, 1, 9, 1, 1, 2, 0, 3, 2, 3, 0, 4, 1, 4, 1, 5],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 1, 2, 3, 2, 4, 2, 0, 3, 0, 4, 1, 4, 2, 4],[0, 0, 2, 0, 5, 0, 6, 0, 0, 1, 3, 1, 5, 1, 6, 1, 0, 2, 3, 2, 1, 3, 2, 3],[0, 0, 3, 0, 4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 4, 2, 1, 3],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 5, 2, 0, 3, 1, 3, 2, 3, 2, 4, 5, 4],[7, 0, 7, 1, 1, 2, 7, 2, 1, 3, 2, 3, 0, 4, 1, 4],[1, 0, 2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 2, 2, 6, 3, 4, 4, 5, 4],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 7, 6, 8, 6, 7, 7, 8, 7],[1, 0, 2, 0, 3, 0, 4, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 9, 5, 10, 5, 9, 6, 10, 6],[2, 0, 1, 1, 3, 1, 5, 1, 0, 2, 1, 2, 2, 2, 6, 6, 8, 6, 6, 7, 7, 7, 6, 8],[3, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2, 2, 2, 4, 2, 0, 3],[1, 0, 9, 0, 0, 1, 2, 1, 8, 1, 9, 1, 9, 2, 0, 3, 1, 3, 2, 3],[4, 0, 3, 1, 5, 1, 6, 2, 1, 3, 6, 3, 0, 4, 1, 5, 4, 5, 5, 5, 2, 6, 3, 6],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 1, 2, 4, 2, 1, 3, 3, 3, 4, 3, 2, 4],[0, 0, 1, 0, 0, 1, 1, 1, 10, 1, 11, 1, 8, 2, 11, 2, 8, 3, 11, 3, 8, 4, 10, 4],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 5, 2, 2, 3, 3, 3, 5, 3, 4, 4],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 5, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 3],[3, 0, 4, 0, 5, 0, 1, 2, 0, 3, 2, 3, 0, 4, 2, 4, 1, 5, 2, 5],[7, 0, 6, 1, 7, 1, 8, 1, 6, 2, 8, 2, 1, 5, 2, 5, 0, 6, 3, 6, 1, 7, 2, 7],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 4, 1, 4, 11, 9, 12, 9, 11, 10, 12, 10],[2, 0, 1, 1, 2, 1, 0, 2, 7, 2, 8, 2, 1, 3, 2, 3, 6, 3, 8, 3, 2, 4, 7, 4],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 7, 3, 7, 4, 8, 4, 6, 5, 7, 5],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3],[6, 0, 7, 0, 3, 1, 4, 1, 5, 1, 0, 2, 1, 2, 1, 3, 3, 3, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 4, 2, 3, 3, 4, 3],[11, 0, 12, 0, 1, 1, 2, 1, 11, 1, 12, 1, 0, 2, 2, 2, 0, 3, 0, 4, 1, 4, 2, 4],[1, 0, 2, 0, 3, 0, 5, 1, 0, 2, 0, 3, 6, 3, 1, 5, 2, 5, 4, 5, 5, 5, 3, 6],[8, 0, 0, 1, 1, 1, 3, 1, 4, 1, 9, 1, 2, 2, 9, 2, 6, 3, 9, 3, 7, 4, 8, 4],[0, 0, 1, 0, 2, 0, 4, 2, 5, 2, 6, 2, 5, 3, 6, 3, 6, 4, 7, 4],[6, 0, 7, 0, 7, 1, 5, 2, 6, 2, 5, 3, 0, 4, 1, 4, 0, 5, 1, 5],[7, 0, 8, 1, 7, 2, 8, 2, 9, 2, 0, 5, 1, 5, 2, 5],[7, 0, 8, 0, 9, 0, 12, 0, 1, 1, 2, 1, 11, 1, 12, 1, 0, 2, 3, 2, 1, 3, 2, 3],[4, 0, 5, 0, 4, 1, 6, 1, 1, 2, 2, 2, 6, 2, 0, 3, 4, 3, 5, 3, 6, 3],[1, 0, 0, 1, 4, 1, 1, 2, 3, 2, 4, 2, 7, 2, 8, 2, 9, 2, 2, 3],[6, 0, 7, 0, 8, 0, 6, 1, 8, 1, 6, 2, 8, 2, 0, 4, 0, 5, 0, 6],[1, 0, 2, 0, 0, 1, 3, 1, 6, 1, 7, 1, 1, 2, 2, 2, 7, 2, 8, 2, 7, 3],[0, 0, 1, 0, 10, 0, 11, 0, 0, 1, 1, 1, 11, 1, 12, 1, 10, 2, 11, 2, 10, 3],[14, 0, 15, 0, 16, 0, 13, 1, 16, 1, 17, 2, 13, 3, 14, 3, 0, 5, 0, 6, 0, 7],[7, 0, 0, 1, 1, 1, 7, 1, 8, 1, 0, 2, 1, 2, 7, 2, 9, 2, 8, 3, 9, 3],[1, 0, 0, 1, 2, 1, 3, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 5, 3, 2, 4, 3, 4],[7, 0, 6, 1, 7, 1, 8, 1, 0, 2, 8, 2, 0, 3, 0, 4],[1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 5, 3, 6, 3, 7, 3],[0, 0, 2, 0, 5, 1, 6, 1, 0, 2, 3, 2, 5, 2, 6, 2, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 0, 1, 3, 2, 1, 3, 3, 3, 4, 3, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 7, 6, 8, 6, 7, 7, 8, 7],[1, 0, 4, 1, 5, 1, 1, 2, 0, 3, 5, 3, 1, 4, 3, 4, 4, 4, 1, 5, 2, 5],[2, 0, 4, 0, 5, 0, 0, 1, 4, 1, 5, 1, 0, 2, 3, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 5, 2, 1, 3, 2, 3, 4, 3],[7, 0, 8, 0, 9, 0, 0, 1, 1, 1, 2, 1, 6, 1, 9, 1, 6, 3, 7, 3, 8, 3],[1, 0, 2, 0, 3, 0, 4, 1, 5, 1, 4, 2, 5, 2, 0, 4, 1, 4, 1, 5],[0, 0, 1, 1, 0, 2, 0, 3, 1, 3, 2, 3, 6, 3, 7, 3, 6, 4, 7, 4],[2, 0, 3, 0, 4, 0, 5, 1, 1, 2, 3, 2, 4, 2, 0, 3, 3, 3, 1, 4],[8, 0, 9, 0, 8, 1, 9, 1, 2, 4, 0, 5, 1, 5, 2, 5, 1, 6],[4, 0, 5, 0, 2, 1, 6, 1, 1, 2, 5, 2, 0, 3, 5, 3, 0, 4, 3, 4, 0, 5, 1, 5],[2, 0, 2, 1, 3, 1, 0, 2, 4, 2, 0, 3, 1, 3, 2, 3, 3, 3, 1, 4],[5, 0, 6, 0, 4, 1, 7, 1, 4, 2, 5, 2, 6, 2, 0, 4, 1, 4, 2, 4],[5, 0, 0, 1, 4, 1, 5, 1, 0, 2, 1, 2, 3, 2, 5, 2, 4, 3, 1, 4, 2, 4, 4, 4],[2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 5, 2, 5, 3],[6, 0, 6, 1, 7, 1, 7, 2, 0, 3, 1, 3, 3, 5, 0, 6, 1, 6, 3, 6, 4, 6, 2, 7],[11, 0, 9, 1, 10, 1, 11, 1, 10, 2, 0, 3, 1, 3, 0, 4, 1, 4],[0, 0, 1, 0, 9, 0, 10, 0, 0, 1, 1, 1, 10, 1, 11, 1, 10, 2],[5, 0, 7, 0, 5, 1, 8, 1, 8, 2, 0, 3, 6, 3, 7, 3, 8, 3, 0, 4, 1, 4],[0, 0, 0, 1, 0, 2, 5, 3, 4, 4, 5, 4, 6, 4, 6, 5],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 5, 1, 0, 2, 1, 2, 5, 2, 2, 3, 5, 3, 3, 4],[0, 0, 1, 0, 2, 0, 4, 0, 0, 1, 4, 1, 2, 2, 3, 2, 4, 2],[5, 0, 6, 0, 3, 1, 6, 1, 1, 2, 2, 2, 5, 2, 0, 3, 5, 3, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 4, 2, 1, 3, 4, 3, 5, 3, 2, 4],[0, 0, 5, 0, 6, 0, 1, 1, 5, 1, 6, 1, 0, 2, 0, 3, 1, 3, 2, 3],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 4, 1, 0, 2, 6, 2, 0, 3, 1, 4, 6, 4],[1, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 6, 2, 2, 3, 6, 3, 3, 4, 4, 4, 5, 4],[1, 0, 0, 1, 0, 2, 5, 2, 6, 2, 7, 2, 1, 3, 2, 3, 2, 4],[5, 0, 4, 1, 5, 1, 3, 2, 5, 2, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 5, 2, 1, 3, 4, 3, 3, 4],[6, 0, 4, 1, 5, 1, 7, 1, 8, 1, 6, 2, 1, 5, 0, 6, 2, 6, 0, 8, 1, 8, 2, 8],[5, 0, 6, 0, 5, 1, 7, 1, 5, 2, 7, 2, 0, 3, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4],[5, 0, 5, 1, 6, 1, 4, 2, 6, 2, 2, 3, 4, 3, 5, 3, 1, 4, 4, 4, 0, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 6, 2, 7, 2, 5, 3, 6, 3],[4, 0, 2, 1, 3, 1, 8, 1, 9, 1, 1, 2, 2, 2, 7, 2, 8, 2, 0, 3, 0, 4, 1, 4],[0, 0, 0, 1, 6, 1, 7, 1, 0, 2, 5, 2, 6, 2, 4, 3, 5, 3],[4, 0, 3, 1, 5, 1, 0, 2, 1, 2, 3, 2, 6, 2, 0, 3, 1, 3, 5, 3],[6, 0, 6, 1, 6, 2, 1, 4, 2, 4, 0, 5, 1, 5, 1, 6],[0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 3, 2, 6, 3, 7, 3, 6, 4, 7, 4],[2, 0, 1, 1, 2, 1, 0, 2, 0, 3, 1, 3, 6, 6, 7, 6, 6, 7, 7, 7],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 6, 2, 6, 3, 5, 4, 6, 4],[9, 0, 10, 0, 0, 1, 1, 1, 10, 1, 0, 2, 1, 2, 7, 2, 10, 2, 8, 3, 9, 3],[1, 0, 2, 0, 4, 0, 7, 0, 0, 1, 3, 1, 6, 1, 1, 2, 2, 2, 6, 2],[7, 0, 0, 1, 6, 1, 7, 1, 8, 1, 0, 2, 8, 2, 0, 3],[1, 0, 5, 0, 0, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 2, 4],[1, 0, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 0, 1, 4, 1, 0, 2, 5, 2, 6, 3, 3, 4, 5, 4, 4, 5],[7, 0, 1, 1, 6, 1, 8, 1, 0, 2, 2, 2, 6, 2, 7, 2, 0, 3, 2, 3, 7, 3, 1, 4],[1, 0, 2, 0, 4, 0, 5, 0, 0, 1, 6, 1, 0, 2, 3, 2, 5, 2, 1, 3, 4, 3],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 8, 3, 6, 4, 7, 4, 8, 4, 7, 5],[6, 0, 7, 1, 0, 2, 1, 2, 2, 2, 5, 2, 5, 3, 6, 3, 7, 3],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 0, 3, 2, 3, 2, 4, 4, 4, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 8, 5, 8, 6, 5, 7, 6, 7, 7, 7],[4, 0, 5, 0, 3, 1, 5, 1, 1, 2, 3, 2, 0, 3, 3, 3, 0, 4, 2, 4, 1, 5],[1, 0, 2, 0, 3, 0, 0, 2, 4, 2, 1, 3, 4, 3, 5, 3, 2, 4, 3, 4],[3, 0, 2, 1, 3, 1, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 7, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 6, 2, 9, 2, 8, 3, 9, 3],[2, 0, 0, 1, 1, 1, 3, 1, 2, 2, 3, 2, 5, 2, 5, 3, 4, 4, 5, 4],[12, 0, 13, 0, 12, 1, 13, 1, 0, 4, 1, 4, 0, 5, 3, 5, 0, 6, 2, 6],[0, 0, 1, 0, 2, 0, 2, 1, 4, 1, 4, 2, 5, 2, 5, 3, 7, 3, 7, 4, 8, 4],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 1, 2, 7, 6, 6, 7, 8, 7, 6, 8, 7, 8],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 5, 3, 6, 3, 4, 4, 5, 5, 5, 6],[0, 0, 1, 0, 0, 1, 2, 1, 4, 1, 1, 2, 5, 2, 2, 3, 3, 3, 5, 3, 3, 4, 4, 4],[0, 0, 0, 1, 1, 1, 0, 2, 1, 3, 2, 3, 7, 3, 6, 4, 8, 4, 6, 5, 7, 5],[0, 0, 2, 0, 4, 0, 6, 0, 0, 1, 6, 1, 0, 2, 5, 2, 2, 3, 3, 3, 4, 3],[2, 0, 1, 1, 3, 1, 4, 1, 0, 2, 1, 3, 5, 3, 2, 4, 3, 4, 4, 4],[0, 0, 4, 1, 0, 2, 2, 2, 3, 2, 4, 2, 1, 3, 4, 3, 1, 4, 2, 4, 3, 4],[3, 0, 5, 0, 3, 1, 6, 1, 3, 2, 5, 2, 0, 3, 1, 3, 2, 3, 4, 3],[7, 0, 8, 0, 7, 1, 8, 1, 1, 3, 2, 3, 3, 3, 0, 4, 3, 4, 0, 5, 1, 6],[0, 0, 1, 0, 2, 0, 6, 2, 5, 3, 6, 3, 7, 3, 7, 4],[2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[0, 0, 0, 1, 6, 1, 0, 2, 6, 2, 5, 3, 6, 3, 5, 4, 5, 5],[3, 0, 5, 0, 2, 1, 3, 1, 6, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 3, 2, 4],[5, 0, 5, 1, 6, 1, 6, 2, 0, 3, 0, 4, 2, 4, 0, 5, 1, 5, 2, 5],[5, 0, 6, 0, 7, 0, 6, 1, 0, 3, 0, 4, 1, 4, 0, 5],[0, 0, 2, 0, 3, 0, 4, 0, 0, 1, 0, 2, 0, 3, 0, 4],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 7, 2, 7, 3, 7, 4],[0, 0, 1, 0, 0, 1, 7, 2, 8, 2, 5, 3, 8, 3, 6, 4, 7, 4, 6, 5],[5, 0, 6, 0, 5, 1, 7, 1, 0, 2, 1, 2, 0, 3, 5, 3, 8, 3, 5, 4, 7, 4, 6, 5],[1, 0, 3, 0, 5, 0, 0, 1, 1, 1, 6, 1, 5, 2, 3, 3, 4, 3],[5, 0, 6, 0, 7, 0, 4, 1, 7, 1, 4, 3, 5, 3, 6, 3, 0, 5, 1, 5, 2, 5],[3, 0, 2, 1, 1, 2, 0, 3, 1, 3, 1, 4, 2, 4, 4, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 5, 2, 6, 3, 4, 4, 5, 4, 6, 4],[1, 0, 6, 0, 0, 1, 2, 1, 6, 1, 7, 1, 1, 2, 8, 2, 6, 3, 7, 3, 6, 4],[6, 0, 7, 0, 0, 1, 2, 1, 3, 1, 7, 1, 0, 2, 1, 2, 3, 2, 4, 2],[5, 0, 6, 0, 4, 1, 5, 3, 6, 3, 7, 3, 1, 5, 2, 5, 0, 6, 3, 6, 1, 7, 2, 7],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 3, 2, 3, 5, 4, 6, 4, 7, 4],[4, 0, 1, 1, 2, 1, 3, 1, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[4, 0, 5, 0, 2, 1, 3, 1, 6, 1, 1, 2, 6, 2, 0, 3, 5, 3, 1, 4, 2, 4, 3, 4],[1, 0, 3, 0, 4, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[3, 0, 2, 1, 4, 1, 5, 1, 1, 2, 0, 3, 1, 3, 3, 3, 4, 4, 5, 4],[4, 0, 3, 1, 5, 1, 0, 2, 2, 2, 0, 3, 1, 3, 1, 4],[10, 0, 11, 0, 12, 0, 0, 1, 1, 1, 12, 1, 0, 2, 1, 2, 10, 2, 12, 2, 10, 3, 11, 3],[1, 0, 2, 0, 9, 0, 10, 0, 0, 1, 3, 1, 9, 1, 10, 1, 0, 2, 0, 3, 1, 3],[1, 0, 2, 0, 3, 0, 5, 0, 6, 0, 0, 1, 5, 1, 0, 2, 2, 2, 3, 2, 4, 2, 1, 3],[8, 0, 0, 1, 1, 1, 6, 1, 8, 1, 0, 2, 1, 2, 5, 2, 7, 2, 8, 2],[7, 0, 6, 1, 7, 1, 7, 2, 1, 4, 0, 5, 2, 5, 0, 7, 1, 7, 2, 7],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3],[0, 0, 1, 0, 2, 0, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5],[0, 0, 1, 0, 4, 0, 5, 0, 0, 1, 3, 1, 5, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 4],[0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 5, 4, 6, 4, 7, 4],[2, 0, 1, 1, 2, 1, 0, 2, 0, 3, 2, 3, 3, 3, 1, 4, 5, 4, 3, 5, 5, 5],[2, 0, 3, 1, 3, 2, 0, 3, 3, 3, 6, 3, 7, 3, 1, 4, 2, 4, 6, 4, 7, 4],[1, 0, 2, 0, 3, 0, 1, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3],[4, 0, 2, 1, 6, 1, 1, 2, 6, 2, 0, 3, 7, 3, 0, 4, 6, 4, 0, 5, 1, 5],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 3, 2, 1, 3, 3, 3, 4, 5, 5, 5],[2, 0, 0, 1, 1, 1, 6, 1, 2, 2, 5, 2, 7, 2, 6, 3, 7, 3, 6, 4],[7, 0, 8, 0, 7, 1, 8, 1, 0, 4, 1, 4, 1, 5, 3, 5, 2, 6, 3, 6],[3, 0, 4, 0, 0, 1, 1, 1, 2, 1, 5, 1, 4, 2, 0, 3, 1, 3, 3, 3, 2, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 8, 3, 7, 4, 9, 4, 7, 5, 9, 5, 8, 6],[1, 0, 0, 1, 1, 1, 1, 2, 4, 2, 6, 2, 7, 2, 8, 2, 2, 3, 3, 3],[1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 1, 3],[7, 0, 8, 0, 8, 1, 9, 1, 8, 2, 0, 7, 1, 7, 0, 8, 1, 8],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 6, 4, 8, 4, 6, 5, 7, 5, 8, 5, 7, 6],[4, 0, 5, 0, 6, 0, 4, 1, 0, 2, 1, 2, 2, 2, 0, 3, 1, 3, 2, 3],[7, 0, 5, 1, 6, 1, 7, 1, 6, 2, 1, 3, 2, 3, 0, 4, 3, 4, 1, 5, 2, 5],[7, 0, 8, 0, 9, 0, 0, 2, 2, 2, 0, 3, 3, 3, 0, 4, 3, 4, 2, 5, 3, 5],[5, 0, 6, 0, 7, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 3, 3, 4, 3, 5, 3, 4, 4],[0, 0, 1, 0, 5, 0, 6, 0, 1, 1, 2, 1, 4, 1, 7, 1, 1, 2, 5, 2, 6, 2],[0, 0, 1, 0, 2, 0, 2, 1, 3, 2, 4, 2, 5, 2, 3, 4, 6, 4, 4, 5, 5, 5],[10, 0, 10, 1, 10, 2, 0, 4, 1, 4, 0, 5, 2, 5, 0, 6, 2, 6, 1, 7],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 4, 6, 5, 6, 6, 6],[0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 6, 3, 6, 4, 6, 5],[5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 2, 2, 2, 5, 2, 0, 3],[0, 0, 1, 0, 2, 0, 4, 0, 3, 1, 5, 1, 6, 2, 3, 3, 5, 3, 4, 4],[2, 0, 1, 1, 3, 1, 3, 2, 4, 2, 4, 3, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 6, 2, 1, 3, 2, 3, 4, 3, 5, 3, 4, 4, 5, 4],[2, 0, 3, 0, 1, 1, 3, 1, 1, 2, 3, 2, 7, 2, 8, 2, 0, 3, 1, 3, 7, 3, 8, 3],[5, 0, 6, 0, 4, 1, 3, 2, 4, 3, 6, 3, 0, 4, 1, 4, 2, 4, 5, 4],[1, 0, 2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 0, 2, 5, 2, 1, 3, 5, 3, 1, 4],[3, 0, 5, 0, 2, 1, 6, 1, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 3, 4, 0, 5, 2, 5],[1, 0, 2, 0, 6, 0, 0, 1, 1, 1, 6, 1, 1, 2, 2, 2, 6, 2, 2, 3],[5, 0, 3, 1, 5, 1, 1, 2, 5, 2, 0, 3, 2, 3, 3, 3, 0, 4, 2, 4],[1, 0, 0, 1, 2, 1, 7, 2, 8, 2, 0, 3, 1, 3, 3, 3, 7, 3, 8, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 2, 4, 2, 5, 2, 0, 3, 7, 3, 7, 4, 6, 5],[8, 0, 9, 0, 10, 0, 7, 2, 10, 2, 0, 3, 1, 3, 8, 3, 9, 3, 0, 4, 2, 4, 1, 5],[1, 0, 2, 0, 3, 0, 8, 1, 9, 1, 0, 2, 8, 2, 9, 2, 1, 3, 3, 3, 2, 4],[6, 0, 7, 0, 6, 1, 7, 1, 2, 3, 3, 3, 0, 4, 1, 4, 3, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 4, 3, 6, 3, 5, 4],[2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[5, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 2, 1, 3, 2, 3, 1, 4, 2, 4],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 4, 3, 0, 4, 1, 4],[2, 0, 3, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 0, 4, 2, 4],[4, 0, 5, 0, 4, 1, 6, 1, 0, 2, 1, 2, 6, 2, 0, 3, 5, 3, 6, 3, 4, 4],[1, 0, 7, 0, 0, 1, 6, 1, 8, 1, 2, 2, 6, 2, 8, 2, 0, 3, 1, 3, 2, 3, 7, 3],[3, 0, 4, 0, 5, 0, 5, 1, 4, 2, 5, 2, 0, 5, 1, 5, 2, 5],[7, 0, 8, 0, 1, 1, 2, 1, 6, 1, 9, 1, 0, 2, 2, 2, 3, 2, 7, 2, 8, 2, 1, 3],[1, 0, 0, 1, 2, 1, 3, 2, 0, 3, 2, 3, 4, 4, 5, 4, 6, 4],[1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 3, 1, 3, 2, 3, 8, 8, 9, 8, 8, 9, 9, 9],[3, 0, 2, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 3, 3, 3, 1, 4],[0, 0, 0, 1, 0, 2, 3, 2, 4, 2, 5, 2, 3, 3, 5, 4, 4, 5],[9, 0, 1, 1, 2, 1, 8, 1, 9, 1, 0, 2, 3, 2, 9, 2, 1, 3, 3, 3, 2, 4],[5, 0, 6, 0, 1, 1, 2, 1, 6, 1, 0, 2, 6, 2, 0, 3, 1, 3, 5, 3],[4, 0, 0, 1, 1, 1, 3, 1, 0, 2, 1, 2, 3, 2, 6, 2, 4, 3, 5, 3, 6, 3],[4, 0, 5, 0, 4, 1, 1, 2, 0, 3, 4, 3, 1, 4, 3, 4, 2, 5],[3, 0, 4, 0, 5, 0, 4, 1, 1, 2, 4, 2, 6, 2, 0, 3, 3, 3, 1, 4, 2, 4],[5, 0, 6, 0, 0, 1, 3, 1, 4, 1, 6, 1, 0, 2, 2, 2, 6, 2, 5, 3, 1, 4],[6, 0, 4, 1, 5, 1, 7, 1, 8, 1, 3, 2, 6, 2, 0, 3, 2, 3, 1, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 4, 2, 5, 3, 2, 4, 4, 4],[3, 0, 4, 0, 4, 1, 5, 1, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4],[4, 0, 6, 0, 2, 1, 6, 1, 1, 2, 0, 3, 1, 3, 3, 3, 4, 3, 1, 4, 2, 4],[5, 0, 4, 1, 6, 1, 0, 2, 1, 2, 2, 2, 4, 2, 6, 2, 0, 3, 5, 3],[1, 0, 0, 1, 1, 1, 2, 1, 5, 2, 1, 3, 5, 3, 5, 4],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 3, 2, 4, 3, 1, 4, 2, 4, 3, 4],[1, 0, 2, 0, 4, 0, 5, 0, 1, 1, 2, 1, 5, 1, 0, 2, 1, 2, 1, 3, 2, 3],[2, 0, 3, 0, 0, 2, 3, 2, 6, 3, 0, 4, 1, 4, 4, 4, 5, 4, 7, 4, 8, 4],[4, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 3, 0, 4],[3, 0, 4, 0, 5, 0, 2, 1, 4, 1, 5, 1, 0, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 1, 1, 3, 1, 0, 3, 2, 3, 6, 3, 0, 4, 1, 4, 6, 4, 6, 5],[0, 0, 1, 0, 2, 0, 3, 1, 1, 2, 3, 2, 5, 2, 6, 2, 2, 3, 4, 3],[5, 0, 5, 1, 6, 1, 0, 2, 7, 2, 0, 3, 5, 3, 7, 3, 0, 4, 1, 4, 5, 4, 6, 4],[9, 0, 9, 1, 0, 2, 1, 2, 6, 2, 9, 2, 0, 3, 1, 3, 7, 3, 8, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 9, 4, 9, 5, 7, 6, 9, 6, 7, 7, 8, 7],[7, 0, 7, 1, 7, 2, 1, 3, 2, 3, 0, 4, 1, 4, 1, 5],[7, 0, 6, 1, 7, 1, 8, 1, 0, 2, 0, 3, 1, 3, 0, 4],[1, 0, 2, 0, 3, 0, 4, 0, 0, 1, 3, 1, 4, 1, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 6, 2, 8, 2, 8, 3, 9, 3],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 6, 2, 0, 3, 1, 3, 3, 3, 7, 3, 7, 4, 6, 5],[5, 0, 6, 0, 4, 1, 5, 1, 5, 2, 1, 3, 0, 4, 2, 4, 0, 5, 2, 5, 1, 6],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 4, 2, 5, 2, 3, 3, 0, 4, 2, 4, 1, 5],[7, 0, 8, 0, 9, 0, 6, 1, 9, 1, 6, 2, 7, 3, 0, 4, 1, 4, 0, 5, 1, 5],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 5, 2, 0, 3, 2, 3, 3, 3],[6, 0, 7, 0, 8, 0, 9, 2, 0, 3, 1, 3, 9, 3, 0, 4, 1, 4, 6, 5, 7, 5, 8, 5],[7, 0, 7, 1, 1, 2, 2, 2, 7, 2, 0, 3, 1, 3, 1, 4],[4, 0, 5, 0, 6, 0, 4, 1, 7, 1, 8, 2, 0, 3, 1, 3, 5, 3, 7, 3, 0, 4, 6, 4],[4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 4, 3, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 7, 2, 8, 2, 6, 3, 8, 3, 7, 4],[0, 0, 1, 0, 3, 0, 5, 0, 6, 0, 0, 1, 0, 2, 6, 2, 3, 3, 4, 3, 5, 3],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 5, 2, 1, 3, 4, 3, 5, 3, 2, 4, 4, 4, 3, 5],[4, 0, 3, 1, 5, 1, 1, 2, 4, 2, 1, 3, 3, 3, 0, 4, 3, 4, 1, 5, 2, 5],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 3, 8, 4, 9, 4, 8, 5, 9, 5],[4, 0, 5, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 1, 2, 0, 3],[6, 0, 4, 1, 5, 1, 7, 1, 8, 1, 6, 2, 1, 6, 0, 7, 1, 7, 1, 8],[2, 0, 0, 1, 1, 1, 4, 1, 1, 2, 5, 2, 1, 3, 4, 3, 3, 4],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 4, 2, 5, 2, 1, 3, 4, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 7, 2, 9, 2, 7, 3, 8, 3, 9, 3, 8, 4],[2, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 2, 3, 3, 3, 4, 3],[4, 0, 4, 1, 5, 1, 6, 1, 1, 3, 2, 3, 0, 4, 2, 4, 0, 5, 2, 5, 0, 6, 1, 6],[8, 0, 9, 0, 8, 1, 9, 1, 0, 3, 2, 3, 3, 3, 0, 4, 1, 4, 2, 4, 1, 5],[0, 0, 3, 0, 4, 0, 5, 0, 0, 1, 4, 1, 0, 2, 3, 2, 2, 3],[2, 0, 4, 0, 1, 1, 4, 1, 5, 1, 0, 2, 0, 3, 1, 3, 2, 3],[3, 0, 5, 1, 6, 2, 0, 3, 1, 3, 3, 3, 5, 3, 0, 4, 1, 4, 2, 4, 4, 4],[0, 0, 1, 1, 2, 1, 1, 2, 3, 4, 4, 4, 5, 4],[6, 0, 7, 1, 2, 2, 3, 2, 6, 2, 7, 2, 1, 3, 2, 3, 0, 4, 1, 5, 2, 5, 2, 6],[1, 0, 2, 0, 0, 1, 5, 1, 0, 3, 1, 3, 2, 3, 3, 3, 6, 3, 5, 4, 6, 4],[7, 0, 6, 1, 7, 1, 8, 1, 8, 2, 0, 5, 1, 5, 2, 5],[6, 0, 7, 0, 7, 1, 8, 1, 1, 2, 6, 2, 7, 2, 0, 3, 1, 3, 2, 3],[3, 0, 0, 1, 1, 1, 3, 1, 5, 1, 1, 2, 5, 2, 1, 3, 5, 3, 2, 4, 4, 4],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 10, 2, 10, 3, 10, 4],[4, 0, 0, 1, 1, 1, 4, 1, 5, 1, 0, 2, 2, 2, 5, 2, 6, 2],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 5, 2, 0, 3, 4, 3, 1, 4, 2, 4, 3, 4],[5, 0, 6, 0, 6, 1, 3, 2, 6, 2, 4, 3, 5, 3, 0, 5, 1, 5, 2, 5],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 1, 2, 8, 5, 9, 5, 7, 6, 9, 6, 8, 7],[2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 4, 3, 5, 3, 2, 4, 3, 4, 5, 4],[2, 0, 3, 0, 0, 1, 4, 1, 5, 1, 1, 2, 2, 2, 6, 2, 3, 3, 4, 3, 5, 3],[3, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 8, 0, 9, 0, 1, 1, 3, 1, 8, 1, 9, 1, 2, 2, 3, 2],[0, 0, 4, 0, 0, 1, 3, 1, 4, 1, 0, 2, 4, 2, 5, 2],[1, 0, 2, 0, 0, 1, 1, 2, 5, 2, 1, 3, 5, 3, 2, 4, 5, 4, 3, 5],[2, 0, 0, 1, 1, 1, 3, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3],[2, 0, 3, 0, 4, 0, 2, 1, 5, 1, 0, 2, 5, 2, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[0, 0, 4, 0, 0, 1, 6, 1, 0, 2, 5, 2, 2, 3, 3, 3, 4, 3],[7, 0, 8, 0, 1, 1, 2, 1, 8, 1, 1, 2, 6, 2, 7, 2, 0, 3, 1, 4, 3, 4, 2, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 6, 6, 6, 8, 6, 5, 7, 8, 7, 6, 8, 7, 8, 8, 8],[5, 0, 6, 0, 5, 1, 6, 1, 2, 4, 3, 4, 0, 5, 2, 5, 0, 6, 1, 6],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 5, 4, 6, 4],[7, 0, 8, 0, 7, 1, 8, 1, 2, 4, 3, 5, 0, 6, 3, 6, 0, 7, 1, 7, 2, 7],[7, 0, 8, 0, 6, 1, 7, 1, 0, 2, 1, 2, 2, 2, 7, 2],[1, 0, 0, 1, 3, 1, 7, 1, 8, 1, 1, 2, 4, 2, 6, 2, 9, 2, 3, 3, 7, 3, 8, 3],[0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 3, 1, 4, 1, 0, 2, 3, 2, 4, 2, 1, 3, 2, 3],[4, 0, 3, 1, 5, 1, 6, 2, 1, 3, 5, 3, 0, 4, 1, 4, 2, 5],[6, 0, 5, 1, 7, 1, 5, 2, 7, 2, 6, 3, 1, 5, 0, 6, 1, 6, 2, 6, 0, 7],[1, 0, 2, 0, 0, 2, 1, 3, 4, 3, 7, 3, 8, 3, 2, 4, 3, 4, 4, 4, 7, 4, 8, 4],[7, 0, 1, 1, 2, 1, 6, 1, 8, 1, 0, 2, 1, 2, 6, 2, 8, 2, 1, 3, 7, 3],[2, 0, 1, 1, 3, 1, 4, 1, 6, 1, 0, 2, 3, 2, 4, 2, 6, 2, 1, 3, 6, 3],[1, 0, 0, 1, 3, 1, 6, 1, 9, 1, 10, 1, 1, 2, 7, 2, 9, 2, 8, 3, 7, 4],[1, 0, 3, 0, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 8, 8, 9, 8, 8, 9, 9, 9],[6, 0, 6, 1, 7, 1, 8, 1, 7, 2, 0, 7, 1, 7, 0, 8, 1, 8],[6, 0, 7, 0, 7, 1, 8, 1, 7, 2, 0, 5, 1, 5, 2, 5],[4, 0, 3, 1, 4, 1, 0, 2, 1, 2, 0, 3, 1, 3, 0, 4, 1, 4],[1, 0, 0, 1, 1, 1, 6, 1, 7, 1, 8, 1, 1, 2, 2, 2],[0, 0, 12, 0, 0, 1, 11, 1, 13, 1, 0, 2, 11, 2, 13, 2, 11, 3, 12, 3],[4, 0, 5, 0, 5, 1, 6, 1, 5, 2, 0, 4, 1, 4, 2, 4, 2, 5],[2, 0, 1, 1, 0, 2, 1, 2, 4, 2, 7, 2, 1, 3, 2, 3, 6, 3, 2, 4, 6, 4],[5, 0, 6, 0, 0, 1, 1, 1, 2, 1, 5, 1, 6, 1, 0, 4, 1, 4, 2, 4],[0, 0, 1, 0, 2, 0, 9, 0, 0, 1, 9, 1, 0, 2, 1, 2, 2, 2, 9, 2],[2, 0, 3, 0, 5, 0, 1, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 6, 3, 5, 4, 7, 4, 5, 5, 7, 5, 6, 6],[0, 0, 1, 0, 2, 0, 0, 1, 5, 1, 0, 2, 2, 2, 5, 2, 3, 3, 4, 3],[3, 0, 4, 0, 5, 1, 6, 1, 1, 2, 6, 2, 0, 3, 6, 3, 1, 4, 5, 4, 1, 5, 2, 5],[6, 0, 7, 0, 6, 1, 7, 1, 0, 2, 3, 2, 0, 3, 4, 3, 0, 4, 3, 4, 2, 5],[6, 0, 7, 0, 7, 1, 8, 1, 7, 2, 0, 3, 1, 3, 2, 3],[11, 0, 12, 0, 2, 1, 11, 1, 12, 1, 1, 2, 2, 2, 0, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 2, 1, 6, 4, 7, 4, 5, 5, 8, 5, 6, 6, 7, 6],[0, 0, 2, 0, 3, 1, 5, 1, 6, 1, 4, 2, 5, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 1, 1, 2, 1, 10, 1, 11, 1, 1, 2, 10, 2, 11, 2],[3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 3, 2, 5, 2, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 11, 2, 9, 3, 10, 3, 11, 3, 10, 4],[3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[1, 0, 2, 0, 0, 1, 1, 1, 5, 1, 6, 1, 7, 1, 1, 2],[2, 0, 3, 0, 0, 1, 2, 1, 0, 2, 1, 2, 5, 3, 6, 3, 5, 4, 6, 4],[0, 0, 1, 0, 1, 1, 3, 1, 5, 3, 6, 3, 2, 4, 3, 4, 5, 4, 6, 4, 4, 5],[4, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[5, 0, 0, 1, 1, 1, 5, 1, 6, 1, 5, 2, 4, 4, 7, 4, 4, 5, 5, 5, 6, 5],[3, 0, 4, 0, 5, 0, 2, 1, 6, 1, 5, 2, 0, 3, 1, 3, 5, 3, 1, 4, 3, 4],[0, 0, 1, 0, 0, 1, 4, 1, 0, 2, 5, 2, 2, 3, 5, 3, 4, 4, 5, 4],[1, 0, 3, 0, 0, 1, 4, 1, 1, 2, 5, 2, 6, 3, 4, 4, 5, 4, 6, 4],[5, 0, 0, 1, 5, 1, 6, 1, 0, 2, 1, 2, 6, 2, 0, 3, 1, 3, 0, 4, 1, 4],[5, 0, 6, 0, 7, 0, 1, 3, 0, 4, 1, 4, 2, 4, 0, 5],[6, 0, 5, 1, 7, 1, 0, 2, 2, 2, 5, 2, 6, 2, 0, 3, 3, 3, 0, 4, 2, 4],[2, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4, 3, 4, 4, 4],[0, 0, 0, 1, 0, 2, 3, 3, 4, 3, 5, 3, 3, 5, 6, 5, 4, 6, 5, 6, 6, 6],[6, 0, 7, 0, 8, 0, 0, 1, 5, 1, 8, 1, 0, 2, 0, 3, 5, 3, 6, 3, 7, 3],[0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 3, 7, 3, 9, 3, 6, 4, 9, 4, 7, 5, 9, 5],[0, 0, 1, 0, 0, 1, 1, 1, 6, 2, 7, 2, 5, 3, 6, 3, 6, 4, 8, 4, 7, 5, 8, 5],[3, 0, 4, 0, 3, 1, 4, 1, 0, 2, 5, 2, 0, 3, 5, 3, 0, 4, 4, 4, 2, 5, 3, 5],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 0, 3, 1, 3, 2, 3, 6, 4, 7, 4, 8, 4],[4, 0, 6, 0, 4, 1, 6, 1, 4, 2, 5, 2, 6, 2, 0, 5, 1, 5, 2, 5],[6, 0, 1, 1, 7, 1, 1, 2, 7, 2, 0, 3, 7, 3, 1, 4, 6, 4, 1, 5, 5, 5, 3, 6],[2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 6, 3, 7, 3, 8, 3],[9, 0, 10, 0, 9, 1, 10, 1, 0, 2, 1, 2, 3, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[7, 0, 8, 0, 0, 1, 7, 1, 8, 1, 0, 2, 2, 2, 0, 3, 1, 3, 3, 3],[0, 0, 1, 0, 2, 0, 8, 0, 7, 1, 8, 1, 9, 1, 9, 2],[3, 0, 4, 0, 5, 0, 4, 1, 0, 2, 1, 2, 2, 2, 6, 5, 7, 5, 6, 6, 7, 6],[9, 0, 10, 0, 11, 0, 9, 1, 11, 1, 9, 2, 11, 2, 0, 3, 1, 3, 0, 4, 1, 4],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 3, 3, 3, 6, 3, 7, 3, 8, 3],[9, 0, 10, 0, 11, 0, 0, 1, 1, 1, 9, 1, 11, 1, 0, 2, 1, 2, 9, 2, 11, 2],[7, 0, 8, 0, 2, 1, 3, 1, 7, 1, 8, 1, 0, 2, 1, 2, 3, 2, 0, 4, 2, 4, 1, 5],[3, 0, 5, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3, 5, 3, 6, 3, 0, 4],[2, 0, 3, 0, 4, 0, 3, 1, 4, 1, 1, 2, 5, 2, 0, 3, 4, 3, 1, 4, 4, 4, 2, 5],[7, 0, 7, 1, 8, 1, 0, 2, 1, 2, 2, 2, 6, 2, 7, 2],[2, 0, 4, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 3],[1, 0, 0, 1, 2, 1, 6, 1, 0, 2, 1, 2, 5, 2, 7, 2, 1, 3, 6, 3],[3, 0, 4, 0, 3, 2, 6, 2, 4, 3, 5, 3, 6, 3, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 2, 0, 5, 0, 6, 0, 5, 1, 6, 1, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[0, 0, 1, 0, 0, 1, 1, 1, 9, 1, 8, 2, 9, 2, 10, 2, 8, 3],[0, 0, 1, 0, 2, 0, 3, 0, 4, 1, 5, 2, 4, 3, 1, 4, 2, 4, 3, 4],[2, 0, 3, 0, 4, 0, 5, 2, 0, 3, 1, 3, 4, 3, 1, 4, 3, 4, 2, 5],[1, 0, 4, 0, 0, 1, 4, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 5, 4, 5, 5, 5],[5, 0, 1, 1, 2, 1, 5, 1, 0, 2, 1, 2, 3, 2, 5, 2, 2, 3],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 8, 6, 9, 6, 10, 6],[4, 0, 5, 0, 6, 0, 4, 1, 5, 1, 6, 1, 0, 2, 1, 2, 2, 2, 1, 3],[2, 0, 4, 0, 5, 0, 6, 0, 1, 1, 2, 1, 0, 2, 1, 2, 5, 3, 6, 3, 2, 4, 4, 4],[0, 0, 1, 0, 0, 1, 1, 1, 10, 2, 10, 3, 11, 3, 11, 4, 12, 4, 11, 5, 10, 6],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 3, 6, 4, 7, 4, 7, 5, 8, 5],[7, 0, 6, 1, 7, 1, 8, 1, 8, 2, 0, 4, 1, 4, 2, 4],[0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 6, 3, 6, 4, 4, 5, 5, 5, 6, 5],[4, 0, 5, 1, 6, 1, 1, 2, 4, 2, 0, 3, 2, 3, 1, 4, 2, 4],[7, 0, 8, 0, 9, 0, 6, 1, 9, 1, 0, 2, 1, 2, 2, 2, 6, 3, 7, 3, 8, 3],[3, 0, 4, 0, 0, 1, 1, 1, 5, 1, 0, 2, 4, 2, 0, 3, 4, 3, 1, 4, 2, 4],[3, 0, 2, 1, 0, 2, 1, 2, 7, 2, 0, 3, 0, 4, 1, 4, 2, 4, 6, 4, 8, 4, 8, 5],[4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 5, 2, 2, 3, 4, 3, 3, 4],[0, 0, 4, 0, 5, 0, 0, 1, 6, 1, 0, 2, 7, 2, 4, 3, 6, 3, 5, 4],[6, 0, 6, 1, 0, 2, 6, 2, 0, 3, 1, 3, 0, 4, 2, 4],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 6, 3, 7, 3, 8, 3],[0, 0, 1, 0, 2, 0, 6, 4, 8, 4, 5, 5, 8, 5, 5, 6, 8, 6, 5, 7, 6, 7],[0, 0, 1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 5, 2, 3, 3, 4, 3, 5, 4, 6, 4, 6, 5],[10, 0, 11, 0, 10, 1, 11, 1, 1, 2, 2, 2, 3, 2, 0, 3, 4, 3, 0, 4, 1, 5],[7, 0, 8, 0, 9, 0, 7, 1, 10, 1, 8, 3, 9, 3, 10, 3, 0, 7, 1, 7, 0, 8, 1, 8],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 11, 2, 12, 2, 1, 3, 2, 3, 11, 3, 12, 3],[1, 0, 3, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 2, 2, 4, 2, 5, 2, 1, 3],[3, 0, 4, 0, 5, 0, 3, 1, 3, 2, 4, 2, 1, 3, 5, 3, 1, 4, 0, 5, 2, 5],[5, 0, 6, 0, 0, 1, 2, 1, 4, 1, 6, 1, 1, 2, 5, 2, 1, 3],[5, 0, 6, 1, 5, 2, 6, 2, 7, 2, 0, 4, 1, 4, 1, 5, 2, 5],[1, 0, 2, 0, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 3, 5, 3, 3, 4, 4, 4, 5, 4],[9, 0, 10, 0, 11, 0, 2, 1, 10, 1, 0, 2, 1, 2, 2, 3],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 5, 3, 5, 5, 6, 5, 6, 6],[0, 0, 1, 0, 6, 0, 7, 0, 8, 0, 1, 1, 2, 1, 1, 2],[3, 0, 2, 1, 4, 1, 1, 2, 2, 2, 4, 2, 5, 2, 0, 3, 0, 4, 2, 4, 0, 5],[8, 0, 9, 0, 8, 1, 9, 1, 2, 4, 3, 4, 0, 5, 3, 5, 0, 6, 1, 6, 2, 6, 1, 7],[2, 0, 0, 1, 1, 1, 2, 2, 4, 2, 4, 3, 5, 4],[1, 0, 2, 0, 0, 1, 3, 1, 8, 1, 9, 1, 1, 2, 3, 2, 8, 2, 9, 2, 2, 3, 3, 3],[1, 0, 4, 0, 5, 0, 0, 1, 2, 1, 6, 1, 5, 2, 0, 3, 1, 3, 3, 3, 2, 4],[0, 0, 0, 1, 1, 1, 3, 1, 0, 2, 1, 2, 4, 2, 5, 3, 3, 4, 4, 4],[2, 0, 2, 1, 3, 1, 1, 2, 3, 2, 0, 3, 2, 3, 6, 3, 7, 3, 8, 3],[9, 0, 9, 1, 6, 2, 9, 2, 0, 3, 1, 3, 7, 3, 8, 3, 0, 4, 1, 4],[6, 0, 1, 1, 2, 1, 5, 1, 6, 1, 0, 2, 3, 2, 6, 2, 7, 2, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 3, 3, 2, 4, 2, 5],[3, 0, 5, 0, 5, 1, 5, 2, 1, 3, 0, 4, 1, 4, 3, 4, 4, 4],[3, 0, 1, 1, 2, 1, 6, 1, 1, 2, 7, 2, 8, 2, 0, 3, 6, 3, 1, 4, 2, 4],[2, 0, 4, 0, 3, 1, 5, 1, 6, 1, 0, 2, 1, 2, 5, 2, 6, 2],[0, 0, 4, 0, 5, 0, 0, 1, 3, 1, 6, 1, 0, 2, 6, 2, 5, 3, 6, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 6, 3, 5, 4, 7, 4, 5, 5, 6, 5],[3, 0, 1, 1, 2, 1, 3, 1, 4, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 5, 3, 4, 4],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4],[0, 0, 1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 2, 3, 8, 5, 9, 5, 8, 6, 9, 6],[4, 0, 4, 1, 2, 2, 4, 2, 0, 3, 1, 3, 8, 3, 2, 4, 7, 4, 9, 4, 8, 5, 9, 5],[2, 0, 0, 1, 3, 1, 3, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4, 3, 4],[4, 0, 5, 0, 0, 1, 3, 1, 4, 1, 0, 2, 2, 2, 3, 2, 0, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 6, 8, 6, 5, 7, 8, 7, 5, 8, 6, 8, 7, 8],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 6, 2, 7, 2, 6, 3, 7, 3],[3, 0, 4, 0, 2, 1, 5, 1, 5, 2, 1, 3, 5, 3, 0, 4, 0, 5, 1, 5, 2, 5],[4, 0, 8, 0, 1, 1, 2, 1, 4, 1, 0, 2, 1, 2, 4, 2, 7, 2, 1, 3, 2, 3, 5, 3],[1, 0, 2, 0, 3, 0, 0, 1, 0, 2, 1, 3, 7, 5, 8, 5, 7, 6, 8, 6],[6, 0, 7, 0, 7, 1, 0, 2, 1, 2, 4, 2, 7, 2, 0, 3, 1, 3, 4, 3, 6, 3],[1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 3, 7, 6, 8, 6, 6, 7, 9, 7, 7, 8, 8, 8],[14, 0, 12, 1, 13, 1, 14, 1, 12, 2, 14, 2, 12, 3, 0, 4, 1, 4, 0, 5, 1, 5],[7, 0, 8, 0, 9, 0, 7, 2, 10, 2, 8, 3, 9, 3, 10, 3, 0, 5, 1, 5, 2, 5],[0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 5, 3, 6, 3, 7, 3],[0, 0, 1, 0, 2, 0, 7, 1, 6, 2, 7, 2, 5, 3, 8, 3, 6, 4, 7, 4],[7, 0, 5, 1, 6, 1, 7, 1, 6, 2, 0, 3, 0, 4, 0, 5],[0, 0, 1, 0, 0, 1, 1, 1, 8, 6, 10, 6, 8, 7, 10, 7, 8, 8, 9, 8, 10, 8],[0, 0, 1, 0, 0, 1, 1, 1, 9, 6, 7, 7, 8, 7, 9, 7, 8, 8],[5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 0, 2, 5, 2, 0, 3, 1, 4, 2, 4, 3, 4],[5, 0, 0, 1, 1, 1, 4, 1, 6, 1, 7, 1, 0, 2, 1, 2, 8, 3, 6, 4, 7, 4],[0, 0, 1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 2, 2, 5, 2, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 8, 2, 9, 2, 10, 2, 9, 3],[5, 0, 6, 0, 7, 0, 4, 2, 4, 3, 0, 4, 1, 4, 0, 5, 1, 5, 5, 5, 6, 5, 7, 5],[0, 0, 1, 0, 1, 2, 3, 2, 4, 2, 1, 3, 4, 3, 5, 3, 2, 4, 4, 4, 3, 5],[0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 3, 2, 3, 8, 7, 9, 7, 8, 8, 9, 8],[6, 0, 7, 0, 5, 1, 8, 1, 5, 2, 5, 3, 6, 3, 0, 6, 1, 6, 0, 7, 1, 7],[1, 0, 2, 0, 4, 0, 5, 0, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 3, 3, 2, 4],[1, 0, 0, 1, 2, 1, 3, 1, 1, 2, 4, 2, 4, 3, 2, 4, 4, 4],[0, 0, 0, 1, 2, 1, 5, 1, 6, 1, 0, 2, 6, 2, 1, 3, 6, 3, 2, 4, 5, 4, 4, 5],[10, 0, 11, 0, 10, 1, 12, 1, 12, 2, 0, 3, 1, 3, 10, 3, 11, 3, 12, 3, 0, 4, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 8, 3, 9, 3, 9, 4, 10, 4, 9, 5],[5, 0, 6, 0, 0, 1, 1, 1, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 4, 3, 5, 4],[4, 0, 0, 1, 3, 1, 5, 1, 6, 1, 0, 2, 3, 2, 0, 3, 1, 3],[2, 0, 0, 1, 1, 1, 2, 1, 4, 1, 0, 2, 2, 2, 4, 2, 5, 2, 4, 3],[0, 0, 1, 0, 0, 1, 1, 1, 7, 4, 9, 4, 6, 5, 9, 5, 6, 6, 9, 6, 7, 7, 8, 7],[3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 6, 2, 5, 3, 0, 4, 4, 4, 0, 5, 1, 5, 2, 5],[0, 0, 1, 0, 2, 0, 8, 0, 0, 1, 2, 1, 8, 1, 0, 2, 2, 2, 8, 2],[5, 0, 6, 1, 7, 1, 6, 2, 1, 3, 5, 3, 0, 4, 1, 4, 2, 4, 4, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 7, 5, 8, 5, 6, 6, 7, 6],[6, 0, 5, 1, 6, 1, 0, 2, 4, 2, 8, 2, 0, 3, 4, 3, 5, 3, 0, 4],[2, 0, 1, 1, 2, 1, 0, 2, 1, 3, 5, 3, 1, 4, 5, 4, 6, 4, 6, 5],[9, 0, 10, 0, 9, 1, 10, 1, 2, 2, 3, 2, 1, 3, 3, 3, 0, 4, 1, 4, 2, 4],[9, 0, 10, 0, 9, 1, 10, 1, 0, 3, 1, 3, 1, 4, 2, 4, 1, 5],[0, 0, 1, 0, 5, 0, 6, 0, 7, 0, 1, 1, 2, 1, 1, 2],[0, 0, 1, 0, 7, 0, 8, 0, 9, 0, 0, 1, 2, 1, 7, 1, 9, 1, 1, 2, 9, 2],[0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 3, 8, 3, 7, 4, 8, 4, 8, 5],[12, 0, 13, 0, 11, 1, 14, 1, 11, 2, 12, 3, 13, 3, 0, 5, 1, 5, 0, 6, 1, 6],[8, 0, 10, 0, 8, 1, 10, 1, 8, 2, 9, 2, 10, 2, 0, 4, 1, 4, 0, 5, 1, 5],[3, 0, 7, 0, 8, 0, 1, 1, 3, 1, 7, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3],[1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 5, 2, 6, 2, 0, 3, 5, 3, 6, 3],[0, 0, 1, 0, 2, 0, 9, 0, 7, 1, 8, 1, 9, 1, 8, 2],[7, 0, 7, 1, 1, 2, 2, 2, 3, 2, 7, 2, 0, 4, 3, 4, 0, 5, 1, 5, 2, 5],[1, 0, 2, 0, 3, 0, 4, 1, 0, 2, 4, 2, 1, 3, 2, 3, 4, 3, 5, 3],[5, 0, 6, 0, 4, 1, 6, 1, 0, 2, 4, 2, 5, 2, 0, 3, 4, 3, 0, 4],[2, 0, 3, 0, 0, 1, 2, 1, 0, 2, 1, 2, 6, 4, 7, 4, 6, 5, 7, 5],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 6, 5, 5, 6, 6, 6, 6, 7, 7, 7],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 5, 4, 4, 5, 5, 5, 6, 5, 4, 6, 6, 6],[3, 0, 4, 0, 1, 1, 5, 1, 1, 2, 0, 3, 2, 3, 4, 3, 5, 3, 0, 4, 1, 4],[0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 6, 1, 3, 2, 5, 2, 4, 3],[2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 8, 2, 9, 2, 7, 3, 10, 3, 7, 4, 9, 4, 8, 5],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 7, 5, 8, 5, 9, 5, 7, 6],[1, 0, 2, 0, 3, 0, 0, 1, 3, 1, 7, 1, 8, 1, 1, 2, 2, 2, 6, 2, 8, 2, 7, 3],[3, 0, 2, 1, 4, 1, 1, 2, 2, 2, 5, 2, 0, 3, 5, 3, 0, 4, 3, 4, 4, 4, 0, 5],[4, 0, 6, 0, 1, 1, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 6, 2, 0, 3],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 3, 3, 2, 4, 3, 4],[0, 0, 1, 0, 2, 0, 9, 2, 10, 2, 11, 2, 11, 3, 9, 4, 10, 4, 11, 4],[2, 0, 3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 0, 3, 4, 3, 1, 4, 2, 4, 4, 4, 5, 4],[0, 0, 1, 0, 3, 0, 4, 0, 5, 0, 6, 0, 6, 1, 1, 2, 6, 2, 5, 3],[6, 0, 0, 1, 1, 1, 2, 1, 4, 1, 5, 1, 5, 2],[8, 0, 7, 1, 8, 1, 9, 1, 7, 2, 9, 2, 10, 2, 0, 4, 1, 4, 0, 5, 1, 5],[0, 0, 1, 0, 0, 1, 1, 1, 11, 6, 12, 6, 10, 7, 13, 7, 10, 9, 11, 9, 12, 9],[0, 0, 1, 0, 0, 1, 2, 1, 1, 3, 2, 4, 3, 4, 4, 4],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3],[5, 0, 6, 0, 4, 1, 7, 1, 0, 2, 1, 2, 4, 2, 0, 3, 1, 3, 4, 3, 5, 4],[1, 0, 0, 1, 0, 2, 3, 2, 0, 3, 4, 3, 1, 4, 5, 4, 3, 5, 4, 5, 5, 5],[0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 3, 2, 4, 2, 4, 4, 5, 4],[0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 7, 4, 7, 5, 7, 6],[0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 7, 5, 8, 5, 6, 6, 7, 6],[5, 0, 0, 1, 1, 1, 3, 1, 6, 1, 0, 2, 1, 2, 5, 2, 2, 3, 3, 3],[0, 0, 0, 1, 7, 1, 0, 2, 7, 2, 8, 2, 6, 3, 7, 3],[3, 0, 6, 0, 0, 1, 1, 1, 4, 1, 6, 1, 0, 2, 1, 2, 4, 2, 5, 2],[9, 0, 10, 0, 11, 0, 9, 1, 11, 1, 9, 2, 11, 2, 0, 4, 1, 4, 0, 5, 1, 5],[3, 0, 4, 0, 5, 0, 0, 2, 0, 3, 1, 3, 0, 4, 2, 4],[4, 0, 5, 0, 5, 1, 0, 2, 1, 2, 5, 2, 0, 3, 4, 3, 0, 4, 3, 4],[1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 3],[7, 0, 7, 1, 8, 1, 0, 2, 1, 2, 9, 2, 0, 3, 1, 3, 8, 3, 9, 3],[3, 0, 4, 0, 5, 1, 3, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3, 1, 4, 2, 4],[6, 0, 7, 0, 5, 1, 6, 1, 6, 2, 0, 5, 1, 5, 2, 5],[0, 0, 6, 0, 7, 0, 8, 0, 0, 1, 5, 1, 9, 1, 0, 2, 9, 2, 8, 3],[1, 0, 4, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 6, 3, 5, 4, 6, 4, 4, 5, 6, 5, 4, 6, 5, 6],[2, 0, 0, 1, 1, 1, 4, 1, 3, 2, 5, 3, 4, 4, 7, 4, 8, 4, 6, 5],[1, 0, 2, 1, 0, 2, 5, 2, 0, 3, 6, 3, 0, 4, 5, 4, 1, 5, 3, 5, 4, 5, 2, 6],[3, 0, 2, 1, 3, 1, 0, 2, 5, 2, 5, 3, 1, 4, 6, 4, 3, 5, 4, 5, 5, 5],[10, 0, 11, 0, 1, 1, 3, 1, 10, 1, 11, 1, 0, 2, 3, 2, 0, 3, 3, 3, 0, 4, 1, 4],[9, 0, 9, 1, 9, 2, 1, 5, 0, 6, 2, 6, 0, 7, 2, 7, 0, 8, 1, 8],[2, 0, 1, 1, 3, 1, 7, 1, 0, 2, 4, 2, 7, 2, 1, 3, 3, 3, 7, 3],[1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 2, 7, 2, 7, 3, 6, 4, 7, 4, 6, 5, 6, 6],[0, 0, 1, 0, 2, 0, 7, 3, 8, 3, 6, 4, 8, 4, 6, 5, 8, 5, 6, 6, 7, 6],[2, 0, 3, 0, 4, 0, 5, 0, 1, 1, 5, 1, 0, 2, 1, 3, 3, 3, 4, 3, 2, 4],[2, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 3, 4, 3, 0, 4, 1, 4],[0, 0, 1, 0, 1, 1, 3, 1, 2, 2, 3, 2, 5, 5, 6, 5, 5, 6, 6, 6],[0, 0, 1, 0, 0, 1, 1, 1, 8, 1, 9, 1, 7, 2, 10, 2, 10, 3, 9, 4, 10, 4],[1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 7, 2, 1, 3, 6, 3, 8, 3, 7, 4, 3, 5],[0, 0, 2, 0, 7, 0, 0, 1, 3, 1, 7, 1, 0, 2, 3, 2, 7, 2, 2, 3, 3, 3],[0, 0, 1, 0, 10, 0, 0, 1, 1, 1, 10, 1, 11, 1, 9, 2, 10, 2],[0, 0, 6, 0, 7, 0, 0, 1, 7, 1, 0, 2, 7, 2, 1, 3, 6, 3, 2, 4],[3, 0, 5, 0, 4, 1, 5, 1, 5, 2, 0, 5, 1, 5, 2, 5],[3, 0, 5, 0, 2, 1, 6, 1, 3, 2, 5, 2, 4, 3, 0, 5, 1, 5, 2, 5],[2, 0, 3, 0, 0, 1, 1, 1, 3, 1, 0, 3, 2, 3, 7, 3, 8, 3, 1, 4, 7, 4, 8, 4],[20, 0, 21, 0, 20, 1, 21, 1, 1, 5, 2, 5, 0, 6, 3, 6, 1, 8, 2, 8, 3, 8],[8, 0, 8, 1, 8, 2, 0, 3, 1, 3, 2, 3, 0, 4, 3, 4, 1, 6, 2, 6, 3, 6],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 6, 2, 7, 2, 8, 2, 5, 3, 6, 3, 8, 3],[1, 0, 0, 1, 0, 2, 7, 2, 8, 2, 9, 2, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 1, 0, 7, 0, 0, 1, 1, 1, 6, 1, 5, 2, 6, 2, 4, 3, 6, 3, 4, 4, 5, 4],[0, 0, 1, 0, 0, 1, 1, 1, 6, 5, 8, 5, 6, 6, 9, 6, 6, 7, 9, 7, 8, 8, 9, 8],[3, 0, 2, 1, 4, 1, 5, 1, 1, 2, 0, 3, 1, 4, 2, 5, 3, 5, 6, 5, 5, 6, 6, 6],[3, 0, 4, 0, 1, 1, 0, 2, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[9, 0, 11, 0, 0, 1, 1, 1, 9, 1, 11, 1, 0, 2, 1, 2, 9, 2, 10, 2, 11, 2],[0, 0, 1, 0, 0, 1, 1, 1, 8, 5, 9, 5, 9, 6, 10, 6, 8, 7, 9, 7, 8, 8],[0, 0, 1, 0, 2, 0, 3, 1, 4, 1, 1, 2, 4, 3, 1, 4, 2, 4, 3, 4],[1, 0, 2, 0, 7, 0, 8, 0, 0, 1, 3, 1, 8, 1, 9, 1, 1, 2, 2, 2, 8, 2],[6, 0, 8, 0, 6, 1, 9, 1, 6, 2, 9, 2, 8, 3, 9, 3, 0, 6, 1, 6, 2, 6, 4, 9],[2, 0, 3, 0, 0, 1, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 2, 3, 3, 3],[2, 0, 4, 1, 0, 2, 1, 2, 5, 2, 0, 3, 1, 3, 4, 3, 2, 4, 3, 4],[4, 0, 5, 1, 6, 1, 0, 2, 2, 2, 4, 2, 1, 3, 2, 3, 1, 4],[7, 0, 6, 1, 7, 1, 8, 1, 1, 2, 6, 2, 8, 2, 0, 3, 2, 3, 0, 4, 2, 4, 1, 5],[4, 0, 5, 0, 6, 0, 1, 1, 0, 2, 2, 2, 3, 2, 1, 3, 2, 3],[1, 0, 2, 0, 3, 0, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 0, 3, 1, 3, 2, 3],[2, 0, 1, 1, 2, 1, 0, 2, 3, 2, 4, 2, 1, 3, 5, 3, 1, 4, 6, 4, 4, 6, 5, 6],[1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 3, 1, 3, 2, 3, 10, 6, 11, 6, 10, 7, 11, 7],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 7, 3, 6, 4, 7, 4, 7, 5, 8, 5],[1, 0, 2, 0, 9, 0, 10, 0, 0, 1, 9, 1, 10, 1, 9, 2, 10, 2, 1, 3, 2, 3, 3, 3],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 8, 2, 4, 3, 8, 3, 5, 4, 8, 4, 6, 5],[0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 6, 2, 5, 3, 7, 3, 4, 4, 7, 4, 5, 5, 6, 5],[2, 0, 3, 0, 0, 1, 4, 1, 0, 2, 5, 2, 0, 3, 2, 3, 5, 3],[7, 0, 0, 1, 2, 1, 6, 1, 8, 1, 0, 2, 1, 2, 2, 2, 6, 2, 8, 2, 1, 3, 7, 3],[0, 0, 1, 0, 0, 1, 1, 1, 8, 4, 9, 4, 8, 5, 10, 5, 10, 6, 8, 7, 9, 7, 10, 7],[0, 0, 1, 0, 2, 0, 9, 1, 10, 1, 11, 1, 11, 2, 9, 3, 10, 3, 11, 3],[0, 0, 1, 0, 0, 1, 1, 1, 9, 2, 10, 2, 8, 3, 9, 3, 9, 4],[6, 0, 7, 0, 8, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 3],[8, 0, 9, 0, 1, 1, 2, 1, 3, 1, 8, 1, 9, 1, 0, 2, 0, 3, 1, 4, 4, 5],[4, 0, 6, 0, 4, 1, 6, 1, 4, 2, 5, 2, 6, 2, 0, 4, 1, 4, 2, 4],[1, 0, 2, 0, 6, 0, 7, 0, 0, 1, 3, 1, 6, 1, 7, 1, 1, 2, 4, 2, 1, 3, 3, 3],[3, 0, 5, 0, 1, 2, 5, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4],[0, 0, 1, 0, 2, 0, 1, 1, 4, 1, 2, 2, 3, 2, 5, 2, 4, 3],[1, 0, 2, 0, 3, 0, 1, 1, 0, 2, 1, 2, 3, 2, 4, 2, 3, 3],[3, 0, 4, 0, 0, 2, 1, 2, 2, 2, 0, 3, 2, 3, 0, 4, 3, 4],[4, 0, 2, 1, 4, 1, 5, 1, 5, 2, 0, 3, 5, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[4, 0, 5, 0, 6, 0, 6, 1, 0, 2, 6, 2, 0, 3, 5, 3, 0, 4],[2, 0, 3, 0, 4, 0, 0, 1, 1, 1, 5, 1, 0, 2, 1, 2, 3, 2, 5, 2, 4, 3, 5, 3],[2, 0, 3, 0, 4, 0, 0, 1, 5, 1, 0, 2, 5, 2, 0, 3, 3, 3, 4, 3, 2, 4],[8, 0, 9, 0, 9, 1, 10, 1, 8, 2, 9, 2, 1, 3, 2, 3, 0, 4, 3, 4, 1, 5, 2, 5],[5, 0, 6, 0, 6, 1, 0, 3, 1, 3, 5, 3, 0, 4, 1, 4, 5, 4, 5, 5],[2, 0, 1, 1, 2, 1, 3, 1, 0, 2, 1, 2, 4, 2, 0, 3, 3, 3, 4, 3, 5, 3],[1, 0, 2, 0, 3, 0, 0, 2, 3, 2, 8, 2, 9, 2, 10, 2, 0, 3, 1, 3, 2, 3],[0, 0, 1, 0, 0, 1, 5, 1, 6, 1, 0, 2, 6, 2, 1, 3, 6, 3, 5, 4],[6, 0, 7, 0, 1, 1, 7, 1, 8, 1, 0, 2, 2, 2, 7, 2, 0, 3, 2, 3, 1, 4],[7, 0, 5, 1, 6, 1, 8, 1, 9, 1, 7, 2, 0, 3, 0, 4, 1, 4, 0, 5],[2, 0, 3, 0, 5, 0, 1, 1, 2, 1, 0, 2, 3, 2, 1, 3, 2, 3, 2, 4],[0, 0, 1, 0, 2, 0, 4, 0, 0, 1, 4, 1, 5, 1, 4, 2, 1, 3, 2, 3],[2, 0, 3, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 3, 2, 3, 3, 3, 5, 3, 4, 4],[2, 0, 3, 0, 4, 0, 0, 1, 0, 2, 1, 2, 5, 2, 0, 3, 3, 4],[7, 0, 1, 1, 6, 1, 7, 1, 8, 1, 0, 2, 2, 2, 6, 2, 8, 2, 0, 3, 2, 3, 1, 4],[2, 0, 3, 0, 5, 1, 6, 1, 1, 2, 6, 2, 0, 3, 1, 4, 5, 4, 2, 5, 3, 5, 4, 5],[0, 0, 1, 0, 2, 0, 1, 1, 5, 3, 6, 3, 4, 4, 7, 4, 4, 5, 7, 5, 5, 6, 6, 6],[7, 0, 0, 1, 1, 1, 2, 1, 7, 1, 0, 2, 7, 2, 1, 3, 6, 3, 2, 4, 5, 4],[5, 0, 6, 0, 1, 1, 0, 2, 2, 2, 3, 2, 4, 2, 0, 3, 0, 4, 5, 4, 3, 5],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 2, 8, 2, 9, 2, 8, 3, 9, 3],[4, 0, 5, 0, 5, 1, 2, 2, 5, 2, 1, 3, 0, 4, 1, 4, 2, 4, 1, 5],[4, 0, 6, 0, 1, 1, 2, 1, 6, 1, 0, 2, 1, 2, 1, 3, 3, 3, 4, 3, 2, 4],[4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 5, 1, 6, 1, 0, 3, 2, 3, 1, 4],[1, 0, 4, 0, 0, 2, 5, 2, 6, 2, 0, 3, 6, 3, 1, 4, 6, 4, 1, 5, 5, 5, 3, 6],[0, 0, 1, 0, 0, 1, 1, 1, 5, 3, 4, 4, 5, 4, 6, 4, 4, 5, 6, 5, 7, 5],[0, 0, 1, 0, 5, 0, 6, 0, 0, 1, 1, 1, 5, 1, 6, 2, 6, 3, 6, 4],[1, 0, 2, 0, 0, 1, 5, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3],[5, 0, 4, 1, 5, 1, 6, 1, 3, 2, 6, 2, 7, 2, 0, 6, 1, 6, 2, 6],[2, 0, 1, 1, 2, 1, 3, 1, 4, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4],[2, 0, 1, 1, 3, 1, 5, 1, 6, 1, 0, 2, 3, 2, 5, 2, 1, 3, 3, 3, 1, 4, 2, 4],[2, 0, 3, 0, 8, 0, 9, 0, 1, 1, 3, 1, 8, 1, 9, 1, 0, 2, 1, 2],[0, 0, 5, 0, 6, 0, 0, 1, 6, 1, 7, 1, 0, 2, 6, 2],[2, 0, 3, 0, 4, 0, 2, 2, 4, 2, 2, 3, 3, 3, 4, 3, 0, 5, 1, 5, 5, 5, 6, 5],[1, 0, 2, 0, 3, 0, 5, 0, 0, 1, 6, 1, 1, 2, 6, 2, 2, 3, 3, 3, 4, 3, 5, 3],[0, 0, 1, 0, 2, 0, 1, 1, 5, 1, 1, 2, 5, 2, 2, 3, 5, 3],[2, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 2, 8, 4, 9, 4, 8, 5, 9, 5],[1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 7, 3, 8, 3, 9, 3],[8, 0, 9, 0, 10, 0, 0, 1, 1, 1, 2, 1, 10, 1, 8, 2, 9, 2, 10, 2],[1, 0, 3, 0, 0, 1, 1, 1, 5, 1, 1, 2, 5, 2, 2, 3, 6, 3, 3, 4, 6, 4, 5, 5],[4, 0, 1, 1, 0, 2, 0, 3, 1, 4, 2, 4, 3, 4, 8, 5, 9, 5, 8, 6, 9, 6],[0, 0, 0, 1, 0, 2, 6, 2, 7, 2, 8, 2, 6, 3, 8, 3, 8, 4],[2, 0, 3, 0, 1, 1, 4, 1, 5, 1, 0, 2, 4, 2, 5, 2, 1, 3, 4, 3, 5, 3, 2, 4],[2, 0, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 4, 4, 5, 4, 5, 5],[8, 0, 9, 0, 2, 1, 8, 1, 9, 1, 1, 2, 2, 2, 3, 2, 0, 3, 1, 3, 3, 3],[3, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 4, 3],[0, 0, 1, 0, 2, 0, 9, 0, 10, 0, 1, 1, 9, 1, 10, 1, 0, 2],[2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 1, 3, 2, 3, 6, 3, 2, 4, 4, 5, 5, 5, 6, 5],[10, 0, 9, 1, 10, 1, 11, 1, 11, 2, 0, 4, 1, 4, 0, 5, 1, 5],[1, 0, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 0, 2, 5, 2, 2, 3, 5, 3, 3, 4, 4, 4],[2, 0, 4, 0, 5, 0, 6, 0, 0, 2, 1, 2, 1, 3, 2, 3, 2, 4],[0, 0, 0, 1, 5, 1, 0, 2, 5, 2, 4, 3, 5, 3, 4, 4, 4, 5],[0, 0, 0, 1, 1, 1, 2, 1, 7, 1, 8, 1, 9, 1, 1, 2],[2, 0, 3, 0, 1, 1, 3, 1, 4, 1, 0, 2, 3, 2, 0, 3, 3, 3, 0, 4, 2, 4],[4, 0, 5, 0, 3, 1, 6, 1, 0, 2, 2, 2, 3, 2, 6, 2, 1, 3, 4, 3, 5, 3, 0, 4],[2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 2, 2, 7, 4, 8, 4, 9, 4, 8, 5],[0, 0, 1, 0, 3, 0, 4, 0, 1, 1, 5, 1, 6, 2, 3, 3, 5, 3, 4, 4],[7, 0, 7, 1, 7, 2, 0, 3, 0, 4, 1, 4, 2, 4, 1, 5],[5, 0, 6, 0, 4, 1, 5, 1, 7, 1, 0, 2, 1, 2, 7, 2, 8, 2, 0, 3, 2, 3, 1, 4],[6, 0, 7, 0, 5, 1, 8, 1, 6, 2, 7, 2, 1, 4, 0, 5, 1, 5, 2, 5, 0, 6],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 6, 3, 7, 3, 5, 4, 8, 4, 6, 5, 7, 5],[0, 0, 1, 0, 2, 0, 8, 1, 9, 1, 6, 2, 9, 2, 6, 3, 9, 3, 6, 4, 8, 4],[6, 0, 7, 0, 6, 1, 7, 1, 2, 4, 3, 4, 0, 5, 2, 5, 0, 6, 1, 6],[0, 0, 1, 0, 1, 1, 3, 1, 2, 2, 3, 2, 7, 3, 8, 4, 8, 5, 7, 6],[1, 0, 2, 0, 1, 1, 2, 1, 4, 1, 0, 2, 4, 2, 5, 2, 5, 3],[3, 0, 1, 1, 2, 1, 4, 1, 5, 1, 0, 3, 6, 3, 1, 4, 6, 4, 5, 5, 4, 6],[4, 0, 5, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 0, 2, 1, 2, 2, 2, 5, 2],[3, 0, 4, 0, 5, 0, 5, 1, 1, 2, 5, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4],[2, 0, 3, 0, 1, 1, 5, 1, 0, 2, 5, 2, 1, 3, 4, 3, 6, 3, 5, 4, 6, 4],[2, 0, 3, 0, 4, 0, 1, 1, 5, 1, 3, 2, 4, 2, 5, 2, 0, 3, 1, 3, 2, 3],[3, 0, 4, 0, 5, 0, 0, 1, 1, 1, 5, 1, 1, 2, 4, 2, 1, 3, 2, 3, 3, 3],[3, 0, 5, 0, 6, 0, 1, 1, 5, 1, 1, 2, 0, 3, 3, 3, 0, 4, 1, 4],[2, 0, 3, 0, 5, 0, 0, 1, 1, 1, 5, 1, 3, 2, 5, 2, 0, 3, 1, 3, 2, 3],[5, 0, 6, 0, 7, 0, 0, 5, 1, 5, 2, 5, 1, 7, 2, 7, 3, 7],[0, 0, 1, 0, 2, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 3, 3, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 3, 2, 4, 2, 5, 3],[0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 4, 2, 2, 3, 5, 3, 2, 4, 5, 4, 3, 5, 4, 5],[1, 0, 1, 1, 0, 2, 1, 2, 5, 2, 5, 3, 6, 3, 5, 4],[1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 4, 2, 5, 2, 4, 3, 5, 3],[2, 0, 3, 0, 3, 1, 4, 1, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3],[2, 0, 3, 0, 4, 0, 1, 1, 3, 1, 4, 1, 6, 1, 0, 2, 1, 2, 1, 3, 2, 3],[5, 0, 1, 1, 5, 1, 0, 2, 6, 2, 1, 3, 2, 3, 5, 3, 2, 4, 5, 4],[3, 0, 4, 0, 5, 0, 2, 2, 0, 3, 1, 3, 5, 3, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[0, 0, 1, 0, 0, 1, 1, 1, 7, 1, 8, 1, 5, 2, 8, 2, 4, 3, 7, 3, 5, 4, 7, 4],[1, 0, 6, 0, 2, 1, 3, 1, 6, 1, 0, 2, 2, 2, 6, 2, 1, 3],[0, 0, 2, 0, 1, 1, 2, 1, 3, 1, 4, 1, 6, 2, 7, 2, 4, 3, 6, 3, 5, 4],[0, 0, 0, 1, 0, 2, 5, 3, 6, 3, 7, 3, 5, 4, 7, 4, 5, 5, 7, 5],[1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 3, 7, 3, 6, 4, 7, 4, 8, 4, 8, 5],[0, 0, 1, 0, 0, 1, 1, 1, 5, 1, 6, 1, 6, 2, 3, 3, 6, 3, 3, 4, 5, 4, 4, 5],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 1, 2, 4, 2, 2, 3, 5, 4, 3, 5, 4, 5, 5, 5],[3, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 4, 2, 0, 3, 3, 3, 2, 4],[2, 0, 1, 1, 2, 1, 0, 3, 1, 3, 6, 3, 7, 3, 0, 4, 5, 4, 7, 4, 5, 5, 6, 5],[0, 0, 0, 1, 5, 1, 0, 2, 6, 2, 2, 3, 6, 3, 4, 4, 5, 4, 6, 4],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 7, 2, 8, 2, 9, 2],[5, 0, 6, 0, 7, 0, 4, 1, 7, 1, 4, 3, 5, 3, 6, 3, 0, 6, 1, 6, 2, 6],[7, 0, 7, 1, 7, 2, 1, 4, 0, 5, 1, 5, 1, 6, 2, 6],[8, 0, 9, 0, 6, 1, 9, 1, 0, 2, 1, 2, 2, 2, 6, 2, 9, 2, 6, 3, 8, 3],[1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 10, 3, 11, 3, 10, 4, 11, 4],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 6, 2, 7, 2, 8, 2, 0, 3, 1, 3],[1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 1, 4, 2, 1, 3, 2, 3, 4, 3],[1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 5, 2, 6, 2, 6, 3, 7, 3, 5, 4, 6, 4],[1, 0, 2, 0, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 5, 2, 0, 3, 4, 3, 5, 3, 1, 4],[0, 0, 1, 0, 0, 1, 1, 1, 5, 2, 4, 3, 5, 3, 3, 4, 3, 5, 4, 5],[2, 0, 1, 1, 6, 1, 1, 2, 3, 2, 6, 2, 0, 3, 4, 3, 5, 3, 6, 3, 4, 4],[5, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 3, 3, 3, 1, 4, 2, 4, 3, 4],[1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 4, 1, 4, 3, 2, 4, 3, 4, 4, 4],[0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3],[0, 0, 0, 1, 0, 2, 5, 3, 6, 3, 6, 4, 7, 4, 5, 5, 6, 5, 5, 6],[0, 0, 1, 0, 2, 0, 3, 1, 1, 2, 5, 2, 2, 3, 3, 4, 4, 4, 5, 4],[5, 0, 0, 1, 1, 1, 4, 1, 6, 1, 1, 2, 2, 2, 4, 2, 7, 2, 0, 3, 5, 3, 6, 3],[3, 0, 1, 1, 5, 1, 0, 2, 1, 2, 5, 2, 1, 3, 2, 4, 3, 4, 4, 4],[1, 0, 2, 0, 0, 1, 3, 1, 8, 1, 1, 2, 2, 2, 8, 2, 9, 2, 7, 3, 8, 3],[9, 0, 10, 0, 9, 1, 10, 1, 1, 5, 0, 6, 1, 6, 2, 6, 0, 7],[0, 0, 1, 0, 0, 1, 5, 1, 1, 2, 2, 2, 5, 2, 2, 3, 4, 3, 5, 3],[1, 0, 2, 0, 7, 0, 8, 0, 9, 0, 0, 1, 1, 1, 1, 2],[0, 0, 1, 0, 0, 1, 1, 1, 6, 6, 7, 6, 6, 7, 10, 7, 7, 8, 8, 8, 8, 9],[5, 0, 6, 0, 6, 1, 1, 2, 3, 2, 5, 2, 0, 3, 3, 3, 1, 4, 2, 4],[0, 0, 4, 0, 5, 0, 0, 1, 2, 1, 4, 1, 5, 1, 0, 2, 2, 2, 3, 2],[0, 0, 1, 0, 2, 0, 8, 0, 9, 0, 10, 0, 7, 2, 8, 2, 9, 2],[0, 0, 1, 0, 7, 0, 1, 1, 2, 1, 7, 1, 8, 1, 2, 2, 9, 2, 7, 3, 8, 3, 7, 4],[0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 4, 2, 5, 2, 6, 2],[4, 0, 3, 1, 4, 1, 5, 1, 2, 2, 5, 2, 6, 2, 3, 4, 4, 4, 0, 6, 1, 6, 2, 6],[3, 0, 4, 0, 5, 0, 0, 2, 1, 2, 0, 3, 0, 4, 3, 4, 1, 5, 2, 5],[0, 0, 0, 1, 6, 1, 0, 2, 6, 2, 7, 2, 5, 3, 6, 3],[0, 0, 1, 0, 0, 1, 1, 1, 9, 4, 11, 4, 9, 5, 10, 5, 11, 5, 10, 6],[1, 0, 2, 0, 8, 0, 9, 0, 0, 1, 1, 1, 9, 1, 10, 1, 8, 2, 9, 2],[7, 0, 8, 0, 0, 1, 1, 1, 2, 1, 8, 1, 9, 1, 8, 2],[3, 0, 4, 0, 1, 1, 2, 1, 5, 1, 4, 2, 5, 2, 0, 4, 4, 4, 1, 5, 2, 5, 3, 5],[1, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 3, 2, 4, 2, 1, 3, 2, 3],[0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 3, 3, 3, 6, 4, 7, 4, 8, 4],[1, 0, 5, 0, 6, 0, 7, 0, 0, 2, 2, 2, 1, 3, 3, 3, 2, 4, 3, 4],[6, 0, 7, 0, 7, 1, 8, 1, 6, 2, 7, 2, 1, 5, 2, 5, 0, 6, 3, 6, 1, 7, 2, 7],[6, 0, 7, 1, 6, 2, 7, 2, 8, 2, 0, 3, 1, 3, 2, 3, 0, 4, 1, 4, 2, 4]]
patstoprocess = len(censuspats)
s = ""
basepath = "C:/path/to/your/3g/hashes/" ###### UPDATE THIS TO MATCH YOUR DOWNLOAD LOCATION
searchfiles = "octohashes3g_0.txt,octohashes3g_1.txt,octohashes3g_2.txt,octohashes3g_3.txt,octohashes3g_4.txt," + \
"octohashes3g_5.txt,octohashes3g_6.txt,octohashes3g_7.txt,octohashes3g_8.txt,octohashes3g_9.txt," + \
"octohashes3g_10.txt,octohashes3g_11.txt,octohashes3g_12.txt,octohashes3g_13.txt,octohashes3g_14.txt," + \
"octohashes3g_15.txt,octohashes3g_16.txt,octohashes3g_17.txt,octohashes3g_18.txt,octohashes3g_19.txt"
searchlist = searchfiles.split(",")
NUMLINES = 464746
chardict = {}
for i in range(37, 127):
chardict[i-37] = chr(i)
chardict[92-37] = "!" # backslash
chardict[39-37] = "#" # apostrophe
chardict[44-37] = "$" # comma
# Python function to convert a cell list to RLE
# Author: Nathaniel Johnston (nathaniel@nathanieljohnston.com), June 2009.
# DMG: Refactored slightly so that the function input is a simple cell list.
# No error checking added.
# TBD: check for multistate rule, show appropriate warning.
# --------------------------------------------------------------------
def chunks(l, n):
for i in range(0, len(l), n):
yield l[i:i+n]
# --------------------------------------------------------------------
def giveRLE(clist):
clist_chunks = list (chunks (g.evolve(clist,0), 2))
mcc = min(clist_chunks)
rl_list = [[x[0]-mcc[0],x[1]-mcc[1]] for x in clist_chunks]
rle_res = ""
rle_len = 1
rl_y = rl_list[0][1] - 1
rl_x = 0
for rl_i in rl_list:
if rl_i[1] == rl_y:
if rl_i[0] == rl_x + 1:
rle_len += 1
else:
if rle_len == 1: rle_strA = ""
else: rle_strA = str (rle_len)
if rl_i[0] - rl_x - 1 == 1: rle_strB = ""
else: rle_strB = str (rl_i[0] - rl_x - 1)
rle_res = rle_res + rle_strA + "o" + rle_strB + "b"
rle_len = 1
else:
if rle_len == 1: rle_strA = ""
else: rle_strA = str (rle_len)
if rl_i[1] - rl_y == 1: rle_strB = ""
else: rle_strB = str (rl_i[1] - rl_y)
if rl_i[0] == 1: rle_strC = "b"
elif rl_i[0] == 0: rle_strC = ""
else: rle_strC = str (rl_i[0]) + "b"
rle_res = rle_res + rle_strA + "o" + rle_strB + "$" + rle_strC
rle_len = 1
rl_x = rl_i[0]
rl_y = rl_i[1]
if rle_len == 1: rle_strA = ""
else: rle_strA = str (rle_len)
rle_res = rle_res[2:] + rle_strA + "o"
return rle_res+"!"
def get9char(inputstr):
h = hashlib.sha1()
h.update(inputstr.encode())
i = 0 # convert first seven bytes of SHA1 digest to an integer
for char in h.digest()[:7]:
i = i*256 + char
s = ""
while len(s)<9:
d = i//90
r = i - d*90
s = chardict[r] + s
i = (i - r) // 90
return s
def chunks(l, n):
for i in range(0, len(l), n):
yield l[i:i+n]
def getoctohash(clist):
ptr = 0
g.addlayer() # do tests in a new layer
g.new("Octotest")
for orientation in [[1,0,0,1],[0,-1,1,0],[-1,0,0,-1],[0,1,-1,0],[-1,0,0,1],[1,0,0,-1],[0,1,1,0],[0,-1,-1,0]]:
g.putcells(clist,ptr*2048,0,*orientation)
ptr += 1
for j in range(8):
g.select([2048*j-1024,-1024,2048,2048])
g.shrink()
r = g.getselrect()
if r == []: r = [0,0,1,1]
pat = g.getcells(r)
deltax, deltay = 0, 0
if pat != []:
deltax, deltay = -pat[0], -pat[1]
if j==0:
minstr = str(g.transform(pat, deltax, deltay))
else:
strpat = str(g.transform(pat, deltax, deltay))
if strpat < minstr:
minstr = strpat
g.dellayer()
return " " + get9char(minstr)
g.setalgo("HashLife")
g.setrule("B3/S23")
start_at = 0
hash_ = []
for item in range(len(censuspats)):
if item % 100 == 0:
g.show(str(item))
if start_at > 0:
start_at -= 1
patstoprocess -= 1
continue
g.new("")
g.putcells(censuspats[item])
pat = g.getcells(g.getrect())
for i in range(16):
g.run(1)
if int(g.getpop()) >= 12:
pat = g.getcells(g.getrect())
#g.update()
count = NUMLINES
outptr = 0
hash_.append(getoctohash(pat))
g.note(str(len(hash_)) + " :: " + str(hash_))
for item in range(len(censuspats)):
if item % 10 == 0:
g.show(str(3980-item))
found = False
patstoprocess -= 1
for fingerprintfile in searchlist:
if found:
break
with open(basepath+fingerprintfile, "r") as f:
for line in f:
count -= 1
if hash_[item] in line:
matchingpat = line[:line.index(" ")]
outptrx = (3979-patstoprocess)%24
outptry = (3979-patstoprocess)//24
g.putcells(g.parse(matchingpat),outptrx*80,outptry*96)
g.fit()
g.update()
found = True
break
if count % 100000 == 0:
g.show("Searching. Pattern number: " + str(3980-patstoprocess) + ". Patterns remaining: " + str(patstoprocess) + "; lines remaining: " + str(count//100000) + " .1M lines.")
g.note("Done!")
The next step is to filter out the collisions above that generate output gliders, maybe increase the grid size so that the final ash patterns remain a safe distance from each other, and submit those recipes to Catagolue. I've kind of volunteered to do this eventually, but if anyone wants to pick up this task and complete it, just post something here to let me know.