[[871, 153, 4]] magic-state factory, T0·T1·T2·T3·T4·T5·T6·T7·T8·T9·T10·T11...

The circuit

The 176\times871 matrix. Rows are wires and columns are rotations. A 1 means the wire takes part in the rotation, and the number beside each wire is its row weight. Scroll sideways to see every column.

output wires
check wires, measured and postselected

wire	0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 760 770 780 790 800 810 820 830 840 850 860 870 \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \|
out 0 (439)	·111·1··1·1·11··1··11·1····1·111··1····11111·1·11·1···111·1···111··111·1·1111·11·1·1···1111···1··1··11·11111····1·111·111·11··1111·1··1··1·1··1···1·11·1·1·11··1·1·1·111···1111·1·1·1111·111·1··1···1··1··111111·11··11·1··11·····1··11·1·11··11·1·1·1····111·111·1····1·1··1·11·1··1·1······111·111111··1·111111·111···1·1···1·11···1111····11111··1···1··1·11··111·111··111111··1····1···11·····111111··111·1····1111·1111·11··11··1111···1·1·1·1·11··11····1·1··1····111·1·111111·11·11·1··1··1··1·1··11·11······1·1··1·111··11··11·11·1·1···1·1·····11··111·1··1··1··1····1·1·11·111··1·1·1·1···111··1···1·1·1·111····1··1·11···11···1·111·····11··1·111·111111·11·1·1·11······1·11····1·1111···1·1·····1··111111·1···11·····111··1····1111111·1·1·1··1·1·1111·1111···11·11·11·····1···1·11···11··1·1·1111·1·1·1··1·1··111·1··11·1·11·11···1···11·1111·11111·11·111····1···11··1·1··1·11·1··1···1··
out 1 (423)	1··1···1·1·11···111······1·····1111·11····11··1·1····11·111··11·111··1····1···11·11111··11111·1111·111111····1···1···1··11·11···1·1··1······1···1·····111·11111·111·11···111····1····1·1·11·1··111····1·····1111·1·11·1···11·1·1·111·111·1·11·11····1111·11·1··1··1···1·11·1··1·1··1·11·11·1····11111···1111··111·1·1···11·1··1·1···1·1····11·11111·1111·1···1·11····111·111··111·1··1··1·11····1·111···11·1·1·111111111·1··1·111····11··11·1111·111··11·11·1·111·11··1····111···1·····111·······1111111··1111·11111··11···1····1·····1·111·1·11·11·1·1·1··1····11···1·11·1·11··111·······1··1·1·1···1··1·1··1··1111··1··1··11·11··1·1··1111·111··11·11111···11111··1··1·1·····11·1··1·1··11···1··11·····1····111···1····1···1·1··111·1·11··1·1·11····11111···1·1·1111·111···1·11·11·11·1·1···111··1··1·1·1···1····1·11·1·111·1·····1·1·11·111····11······1·11·1··1·1111·111····111·11···1···111···111·
out 2 (463)	··1·1·111·1···1111·11·11··111·11·1·11··111·11·11111·111····1·11·1·1·1·1·1···1··1···········1·1···1·1··11···1111··11··1··11·11··11·111111·11··1111·111·····111····11·11·1······111···1·11·111··1·1·1111····1·11·····1···1··11·11··1·111·1·1·111····1··11·1·111···1·111·1·1··111111·1···111··11111·11111·1·1··11·1111111·1·11··11··1·11·111··11··1·111·11····1111·1111··11··11··1·1··1··111··1·1·······11·111·1·111··1·····11111··1···1····11111··11·1·1111·111111·11·1·11··1111··1·11·11···1····11·1111···11·11111·111·1·1·11·1····1··11·11·11····1·111····1·111········11·1·111·····11111111····11···1·111···111···11111·111··111··1··1111·1·11·111·1·1·1····1·11··11111·1111·11111··1····1·1·1····11·1·····1·11·1111··1····111·1111·1·1·1111111··1··1··111·1·1··1·1··111·11··11111111·11··1·1···1·111·11···1111···1111·1·1·11·1···111····11··1··111···1111·111·1·1··1··1111·11··11···1·1··1·1·····1·1·
out 3 (439)	·······11·1·11·1·111··111···1·111··111···1111111··1·1111·111·1·1··1··1··11·1·11111··1···1·11··111·1··1····11·1·1··1·1111·1·1·1111···1·1111·1·11··1·111·1··111··1·1111····1111··11···1111·11···1··11·11·11····1····1111··1·11·1···1·1·1···1····11··1····1·11···1··11·1··1111··111··11····1···11···111111·111··11····1·11····1···1·1··1·····111··111··1·11····1·1···1·111·1·1··111111·11··11·1···1·1111111·111···1·1·1··1·11·1··1···111·11··11·1··11··1····11·11·1·1··111··111···1·111·11·····1··11···1··1111·11111··111···111···1·11··111·····1··1·11111···1111···1·1·1·1··11111·1·1·1·1····11111··1111··1···1··11·111··111·1111·····1·1·1111···11···11·1·11·11111·1···11··1···1·11111·1111111··1·1·1·11·111·1111·11········1·1·11··11···1·1··1··1·11·1···1·11·1····11·111·11···1·1··1·1111·1111·111·····111·1·11··11··1··1········111·1··1··1······11111··1·11··1·11·1111····1·1··11··1·111·1····1·····
out 4 (431)	1··11111·····11·······111·1··11·1·11·1·1·11·1··111···1111·1111···1···1······1111·11····11·1··1·11··11·1·111·11····111··1·1·11··11111····1111··11··1··1·11··1·1·1·1·11·111·1·1··1······11·1111··111·1·11·1·1·1111111·11·1··1··1···11····1·1·11··11·1·111·······1··1··111·1··1·····1··1··1··11·1·111··1··111·1·11·1111····111·11·11···11··1·11·1·1··1·11····1···1··1·1111···1·1···1··1·11·1·1··11··1·1·1111111····11··1·111····1·1··111111111···1···11111·111···1111···11··1···1·111··1·1····111111··1·1·111·1··1·1·1···11····11··11······11··11··1··1··1··11·11···1·1····1·11·11·11··11···111111·11··111·1·11111·1·11·1··111·1··1··1···111111··111·11··111111····11··1·11·1···1·11·1·111···1····1···1111··1111····11·1·1·1·11·11········11·1··111··1·1········1111···1·1111····1·1···1··1·11·1····11·1111·11·11··11···11·1··1·11·1··111··1·1····1·1·····1·1111···1·1111·1··1··1·111·11···1·1·11··1··11·1
out 5 (447)	1····11·1····11·····11·11·1·1··1·11···1·11··11·11·11·111·11·111···111·11··1·11··111···11·····1·11··1····1····1···111···111·1111····111·······11·1··1·····1···111····111··111·1·11···1·1·1·1·1111111·1·····11111··11·1111···111·1·1·1111111·1····11··1·11··1··1··1·1·111····11··111··11·1111·1····11·1·111···11··11·11··11·11··1111··11·1111·1···1·1···1·11····11··1··11·11··1111·11·····11·11111·······11111··1·1·1···1···111·11111·1···11111·11·1·11·11111····1····1··111··1·11·1·111·11··11··1·1········1·1···1·11··1·1111·1··1·1····11111111····111···111·111··1·1111···1······1·1111···1·1·11·111111111···1111·11·1·1··1·1111·1··1··1111···1·1·1·1··11···11··1···11··1··111·11·1···11···1·11·111111·1··11·1111·1···111111·1·111·111···1·1···111··1···111·11·1111·······11··111···1·1·1····111111···11111··1·11··1111·····11···111·····1··11·1·1111···1····111·1·111···11·1··11·1·111111···1·1··1111
out 6 (439)	1···11111··11·11···11·1·1·1··1····111·1····1·11·11·111111·······1··1·1··11·1·1···11·1···1··1·1·1·1·1111··11·11·1··111··11······11··11···11·111111111·1111·11····1··1····1··11·1111·1·1·11·11···1···111·11···1·11111·11·11···1111··1111111·11··1·1111·1··11·11·1··1111111·11···1·111··1···1111······1·1···1··111·······111··1···111···111111·1··1·11·1·111··1···11·111·1·1·1·111·111···1·1···111·11111········1··11·1······1111····11···1···111111··1·1·11···11··11·11···11·1··11··1·1····1···111·11······1·1····1·1·11111111·11·11·11··1·1··1···111·1··1·111111·11111·······1···1··11··1111·1·1··11····111··1111·1111··1111111·111····1·1···1··111·····111····111·····1····11111··1···1··111111····1··1·1··11111·1·11·1··1··1111··11··11··1··11··111·1·1···1·11·111111·1111·111·11111··1111111··1······111···1·11··11·11··1·1·····11·11··11···1·······11···1·11·1····1·1······1····1111···1111··1··1·1·
out 7 (439)	111·11·11··1·11··11·1··1···1··1···1·1·111·1111·1···1·1···1····1···11··11···111···1···111···11···1··1···1··111··11·1·1·11··111111·1···1······1111·1·111·1·111111··11111··11·······1111···1··1···111111111·1·1·1··11111111·111··11·11·1···11···111111··1··111··11·1·1·1··111···1·111·1·111·····1···1····11··11··1·1·1111···11·1·111·1·111···11·11·····11··1·11·1·1····1·111·1·11··111·1111·1·11···11·1·111111····1·······1··1111····1·11··111···1····1·11··111··1·1··11·····1·1····1·1111·1·111····111····11·1··11·1···1··1·11111·1·1111111111···1··1··1111··11··1·11···1····11······11·1·1··11·1···1·1·1··1·11···1·111·1···11··11·1·1111·1···11···11111······11·11··1·1·111·1·1···········1·1·1·····11······1··1·1·1··1·11····1·11·1·1·111·1·1····1·11··1·11111111111···1·1·1·11·11·1··1·1111·11···111111·1·1·11···111·1111111··11·1·1·11·1111···11···1··111···11···1·11·11111···11·1·111·11··1·11·1··11
out 8 (455)	11·11111·11··1······111···1·11·1··1·1·1·11·11···1·1···1·11·1··1111·11·11··1··11·1···1··11··1··111···11··1·····1111··1·11111·1·11··1··11··11··11111···11·11111·11···111··1·11·1·1·1·11·11···11·11··1·1·1··1111···1··11·1··1···11·111·11····111111111·1·111·····1····1111111······1··111·1·111····1·111·1111111·1·111·····111··1··111·11····111··11·····1··11111·1·111·1111········1·11·1·111····1·1··1·11··11·1··11·1·······1···11··11··11···1·111·1111·11·1··1·1·1·11···1·1·11·111·1·11111·1·····111111··11···11·1·1·11111···1·111·1·111··1··11111··11·1···1·1···11····11·1····11··1··1·1···11·········1·1·11111·1··11111··1··1·111111·111111·1···1111·1·11·1·111···1··11··1·11··11··111·1····11111····1·11·11·1··1·111·11··11·11·111····1111··11·····1···1111·······1·11·11···11·111·1·1··11··111·1·11·1··1·11··1111··1···1111·1·1·1·1··11111111··11··1111·1····1·1·11·1·111·11111···11··11····1·1·111
out 9 (423)	··1··1··11·1111··11·11···11··11··1·1111111·11·1·1··11··111·1·1111·1·1·1·1···11······1······11·1·1··11···1·1·1··1·111·11·1···1111···········11·1···1···11··11······1·1····1·11·1·1·1······1·1····1··1·1··11111··11···1··1·1··11111···11········1····1·1·1·11·1·1··1111··1111·111·1·111····1··1··1··111···1·1·111111··1·11··11·11·1111···11···1·11·1·1··11111····11··1·111·1·1111111······111··111111····111··11····1·111··11111111···11·11·111111··11······11·11·····1···1·11···1··111·1·1···1·111·1111·11··1·1·1··111··11···11···11·1··1··1···1·11···11·1111·111·11·11··1·1··1··111111·11·····11·11·1·11111···1···1···1·11··11·1··1·111111·11·11·11·1·1111·11···1··11·1·1·11···111·11·11·11··11··1·11·11·111·1··1·11·····11····11111··111·1····1··111111·········11··1··11····1······11·1·1··11·1·1···1·11·11··1111··1···111·1·1··111··1····1··1···1··1··1···1··1···111111···111·1··1···1··11·····11···
out 10 (447)	··11··111···1·······11··111···1·1·1····11··1···111·1·1·1111·1·1······1··111·11··1111111··111···11111·1·1···111·1·11·11·111·1··11··11·1111··1·1·11·11··11···1·111···1·1111111····111·111······11·11····1111·1·1·1·1·111111······1·11·1··1·11·111·1111·111·1·1·1·1··11····1····11·11·1··1·11··111·1·1·11··1·11···111·11111··1·1··1·1·····1·1111·11·1···111111·11···1··1··11·111111····1··11111··1··1·1····1····11·1·11·1··········1··1··11··1·111··1···1········1··11·····11111··11·11111·1···1·1·····1·11111·····11··1·111···1·111·1111··111·111··1·11·11·11····1111·1·11·1·11·11·11111···11···1··111·1··1····11·1·1··1··11··11··1111·1···1·1····111·11·1······11·11·1··11·11111·1·111··1111··11·1·1··1·111111···1···11·111·1111·1·····1··11·11·1··1·11·11·1··11····11······1··1········1····11111·1·1··11·11··1111·11···1·11··111·1··1·1·1·111··1···1111·11··11··111·11·11111·1·111·1·11111111·111··1·1
out 11 (463)	1····1····111··111·11·111111········11·1·1·1·1······1·1111111·1·11····1··11···11·1·1··111··1··111111····1111·1···1·111·11··111·1··11·11·····11··11··111111·1·11111111··11··1111111·111·1·11·11·1···1·1····11·1·11·1···1···111·1·1111··11··1·1·1··111·11·1·11·1·1·1·1···111··1·1······111·1·1·111··11·111·1·····11111·1·11·11···1111····1···1·11····1·1··1111·11·····111·111·1·11·11·1··11··1··111·1·1···11·1··1·····1·11··1111·1·1·11·111·1····111·1·1··1·11111····11··111··1111··111···1··1··1··111·11·1·1···1111·11··1111·1··1··11··11··111·11·111111111·····11····1··111·1·111·1·1·11·1111·1·111·1···111·1111····1·1··1·1······111·111·11·11···11·1·1··11·11·1·1···11······11··1··1·11··11·1111··11··11111·11·1·1···1·······1··1·111··1111···1·····11·11··1··111·11·11··1·1111·11111·1···11111··1·1··11111·11·1·1·1·11·1·111·1·11·1·1111··1·11111··1·111···1·11··1··11··111·1·11···11·1111···1·11·1·
out 12 (423)	1···11·11·····1···111··1····1·11·1··11···111··111····11··1···111·11·11·11··1111·1111··1··111···11·11··111··1····1·11111·11·11··11·1····1·1·····11······1·111·1·1··1····1·111···1111··111·1111····1··1·1·1···11··11111·1····1·1·1··111··11·11··1·····11·11·1·1····1····1·111····11··11·11111111·11··1·111···1·1·11·1····1··1·1·····11·11·1·1····1··111··1111·1·1··111·11·11·1·1···1···11····111···111···1·11·1···1··1······11·11·1·1·1····11····1111·1·1··111·1111··11·11·11·11··1··1111·111··1···1····1···11111·····11·11···1··11··1·1·1111·1····1·1111··11·1··11··1·11·1·111·11··111·111···111111·1·1111···11·111·111·11··11··11·········1111·1·111·11·1··1··1····1·1····1··11···11···1··1111····1·······11····111·11··1····1···1···1111··1···1···1···1······1·1111·1·111·11·1·1111·11·1111·1111·1··1··1111···11··11····1111··1··11·1·1111····1111·11·111·11·111······11··11···11·····11··1··1··111·1·
out 13 (415)	111·11····1·11···1······1·······1··1·1·1···1111·1··1······1·1···1·1·111·1·1·11··111·111··1111·11··1···11··1111··1·1···11···1··11·1··11··1···11111·····1···1·11··111··11··1·1···111111···1·1·1··11··1·1··1·1·11··1··11·1111·1·1··1········1·11·1··1··1·111111···11111·····111·111·1·1···11·1·1·1···11··11·1····1··1··1111······111·····11··1111··1·1111·11·1·11···1··11···111111······1·11·1·111111111·····11111·1··1·1·1·11··1111·1·111·11·11·1·1·1111·11···1···1··111·11·11··11···1·1···1···1····111···11·1····11··1·1·1··1·1·11·111·1··1··1··1·11··11111··11·1··11··1····111·111·1·1··111····111·····11··1·111··11·1····1111·1·111111·1·····1·11··11··1111·11··1·······1···1···1·1·1111······1·11·1·····111·····1···11··1·111··111······1111·1·11···1····1···11·111··1··11···1······1·11·1·111·111·1111·····1·111····111·····111··11·1··11··1·1111··11·11111·1···1111··11·····1····111·······111··111
out 14 (455)	·1·1··1··1·1111········11111··11··11····1111··1·1·111····11111·1111111···1111·1···111··111····111·1·1··1·11·1·1···1··1·1··1111·1111····1·11····1·11······1··11·1111·1··1111···1111·1··111····11·111··1·1·1·1111·1·1··1··1·111···111······11·11···1··1·111··11111·11····1····1·1111·1·11·11111··1·11·······1···11·11·111··111·1111···11111··11·111··111·1111···11·1·1···11··111·1111·11·11·1···1··1·111··11111·11·11··1··11·1·1·1·111···11111111·1··11·111·1·1·1·1111·1····1·····1·····1············1·1·11··11···1··1·1111111·1··1··11··11·1··11····1·111··1··111·111··1111·1··1·1·1·1··111···1·11·111·1111····1·1··1·1···1····1·11111·111···111·1·11·1·1·1···1111111·1··1·11·1·111·1111·11·11··111111·1····1···111··11111·1··111···1··11111111··1·1·11··11··1··111···1·····1······1·1·1··1··1·1·111·11111·11··1···11111··111·1111··1····1111111·111····11··11··11·1···1···1·1····1·11111···1·11·1·1··1·
out 15 (423)	·····1111··1··1··11·111·1·1·111··1·1·1·1·11111·1·11···11·1·111··1·1··1·1·11·1···1·1··1·11··1······111·1·1·1·11·1·11·11111·111··1111·1·1·1111·111·····1···11111··1·1·11····11·1··1111·1··1·1111···1·1111·111·111·11111·11···1·11···1····1···11···11111·111··11····1·····11·1·1·11··11··111·····1·1111···1······1···11····11··11··111····1·11·····1··11···1·1111·11···1·1··11·1·1·1·1·11·····1··11··111··1·1111·11···1·····1·1111·111·1·1·1······111·1···1·1·1·11·1·1·1111··1··1111·1·1111·1·········111··1111111···11·1·1··1···11·1··11·111··1··1······111·1·11····1·11·111·1··1··11111···1·1111··1····1··11···1··1·1·1·11·1····11·1··1·1··1·1·1111····1··1··1·11··1·11·1·······1··11·1····111·11·111····1···111····1·11··1··11·11·111111·····111····1····1·11·1··111·11··11···1··11111········11···11···111··1··1111111111111·111···1·1·1·1··11···1·11···1····1····1···11···1·1·11····1·1·1··111111·1·1
out 16 (431)	·1111·1···1·····1·1·111··1·1111····1···111···111···111·111·111··11·111··11·1···1··1·1111··1····1·1···1··111111···11·1·11·1····11111··1·1111·1···11···1··1·11·11··1·1·····11111···111··111·1·1··11111·1··11······1·1·11···1··11··11·111·11·111··1·11··1··11·1···1··1···1········11111··1·1111···1···11····11··1·1··1···1·11·11··111·1111·11·111·11111···1111···1······1·1··1111111·1···1111111··11·1111···1·11·1···11··111·111·1··11··111··1···11111···1111··1111····1·11··1·11···11·1·1·1··11111···1·1·1·1···1··1·1111·111··111··11·1·1·1·111··1·11··111···1··11·····11·1··1·11···1···11·1·111·111·1·11····111··1·111··11·1···1·1111·····1··1·111··1·11111···11·11·111···1·1··11111········1··11··1·1···11···1·····1·····1········11·1·11111····1······11··11111·111··11·111·11······1·····11·1··111··1·1111·1··111··11111···11···1·11·1·1··1···1·111··1··1·11··11·····1···11·1··11111·11···111···111··
out 17 (447)	··11·····1·11111·1111·1111·11··1·11·1·11···1···1111·····1···111·1··1··111·1·11·1111111···1111··111111··11111·1·······1··111···11111···1·111·11·11·11····11·111··1·111··1111·1····111·1111·111111111·····11·11·1··1····1·1···11··1111·····11··1·1·1·1····11···1····1111··1··1··11·11··111··11··11··11111··1··1···1111·1·····11···11···111·11·111···1·1···111··1··1··1··1··111·111·111·1·1···1··1·11·1·1··11··········1·111·1·1111··1··1·111·111·1······1·111111··1··1··1111···1··1·11·11··1··1····1····1·1··111111··1·111·····1·111····1··11···11·111·11·····1····1111·111··11111···111···1·1··111·1····1·111···1111·1111·1··11··11·1······111·11····11·11·111···1··111·1·1·1·111··1·1·11·111111··1·1·1··1···1···1·11···1111···1···11··11·1···1111·1··111111·1····111··1··1·····111··11·1·1···111··1···11·11···1·1·1111··11···111··111·1·11··11···1··1···111·1·11111·111111···111·1·1·11·111·11111·1··11
out 18 (415)	1111··1·11·1·11···1··1·11··11······111··1··111····1·1···1·1··111111·····111···1··11·1·1·11·1·1····1····111···111···111·111···11··1·····11111111111··1···11111·1··1·····11····11·1··1···111··111·11··1·1····1··1111······111111··11·111·1··1·1·1···11····1····11111·11·1·11····111··11··111·1··1·1·11···1···111·····1·1111·1·1·1·1·1·111·11··111·1····11·11··1··11·11·11·····1·11······1···1····11·111·11·····1···1·····1·111111111111·1111·1··11···1111··1111·1···1··11···11··1·111·111··1·1··11·111·1111·111·111·····1··1··1·1·1·11·11··11··11·1···11·1111··1···1···1···1·1··11·111·11···11·····111··11··1····11··1·1·11·1·11···1·111··1···11111··1····1·····1··1·111··1··111···1····11·1····1··1·111·111··11·1··11···1·11111·1·11·····1··1··1·1·11···1··111·1··11·1·11··11·1·······1·1·····11··11·1···11·11111·11·11······1··11·1···11·111·1·1···11·11··11····111··1···11·11··1·11111·1·····1····1···
out 19 (423)	·1·1·11····111·1·1·11··111·111111·····1··1·1·11·1···1···1··1111·····1···1·11·1·11·1·····1111····1·11·1·1111··1111111··1··11··11·11111·11··1·111·····1·1·11·1··111·1·111·1······111···1·1·1···1·111·1··111·1····1·1111·11111·11·1·····1·11·11···1·1·····1·1·1·11111·1··1··11·1····1·1·111111·1111·1··11·1·11··11·1····1··1·1·1111·1···111·11··1···11·1·1····11···111·1···11··1··1··11·······1111·111·1·1··1·1···1··1111··1··1··1·11·11·1···11·11·1··1···1·1·111··1·11··1·1·11·1111111·1···1·1··111··1··1·1···1·1····1··111·11·1··11·111·····11··11·····1111·1·1··11111·1··111·1··1·11·1·1·1···11·····111···1·1··11·1··11111·1·1··1··1···1·······11·1·111····11111·1··11·1·1··1··111··11111111·1·1·1·1·1···111····111···1···11·1··1···11·····1···1·1·1·1·11·111·1·1111··1···111·1···1111·········11··1·1··11··11··11··11··11···11·1····1··111·1111·111·1·111···11····1·1·1····1·11·····1··1··11···111·1··
out 20 (439)	1···1111···1·1·1·1·1···1·1·1··11···1·111111······1·11··1····111····1···111·1·111··11·1111·1··11·11········111··1···1·1·1·1·11···1·1111·1·1··1·111·11······11····1··111···1··1··1·111·11··11·1····11·1·111····1·1·1··11111···1··1·1111·11·1·11·11·11·111111·1·111··11·11·1·1··11·1·1·1··111111···11··1·11··1·11·11····11·1·11··11·11····11111·1111··1·11111·1··1·11111·1··11··11··1··1·····11·1··11·······11·11···1···1111111··1·1·1·····1·111····1·11···111····1··111··11·1······11·1··1·11·1·1111··11·1·11··11·11111··1·1····1·1··1·111····1···1·····1···11····1··11·111111·11···1···1·11······11·1·111·······11·1·11··1·1·111·1·111····1111·1·11··11·1·11·1··111···1·11··11·1·····1·1··1·1·1···1·1·1·1·1··11111·1111·1·1···1·11111·111·1··1··11·11111·11·1··1·1·11··1·1·1·1·1·11··111··11111··11111·1···11···1111·11·111··11·1····1111··1··11·1·11··1··1·11··11111··11111···1··11·1111··1····1·1·11··
out 21 (439)	111····11·1··1·1111··1111·1·11··111··11111····1··1111·1·······1·1···1·1··1··111·1··1···1·····1·····1·11111····11··1··1·11········1··1···11····11··11··11·111···1·1111·1·1·1·11111·11···1·111··1·11···111·1··1·1····1111···11···1·11··111··1·1111·111·111··111··1·1·111··1111111·····1·11·11··11·1·1·11·1111·11111·11111·11·111··1·1·11·1···11·1·····1·111·1·1···1·111·111··1·1111·1·1···111······11111·····1··1·111111··1···1·1·1···1···1·1··111·11···1···111··1·111···111·1·111··1···111·1·1·111·11·11··111···111··1111·1·11·1·····1··1··1111··1111·1···11··11·1·111··1··1111·111···1·1111····11·11···1···1··1111··1·111·11·1111··1··111···11·1···1··1·11··11·111····11·11111·111·1·1···1··11·11111·········1·1··1·····111·111·111·······1····1·1··11·1·11··11111111····1··1·11·11·11··111··1··11······1·1·······1111·111··111····1·1111···1·······111·11·1···11·1·1·····1·11·1·11111···1··1111·111··1
out 22 (431)	1·1····1111·1·1··1····11·11·111··111111·11····111·111······111···1·111111···11·1···111·1···11·······1·11··11···11111··11·····1111·1···1··1·1·11111111·1·111···1·1···1··11·1111··1··1···111·1···1···11·1·11·1·1111·111··111·1·1·11····111·111·1···1·1···11·11···1111·1·1··1·····1··1·1111111··1·111·1···1·1··111··1·1·1···1·1·1·11···1···11···1····1·1·1111·11···1·11··1111·1··1·11··11·111·1······111·1··1···111·1111·1····1·1·1··1··1·1·11·1··1··11·1·1··11·11111·111···1111·1··11111·11111··11··1·11·111·1·11·11·11···11··1··1111·····1·1··11·11·1··1····111·1·1··11··1···1··1····11··1·11····1···11·1····1··1·1······1··1···11··11·1111···11111·11··11·1····1··111·11·11····1···1··1···1·11111111·11·1···1·1··1····1··1····1·1·1···1···1·111·11111··1111111·111111·1···1······1··1·1··11·1··1··11···1·1·1··1···1·11·1···1111·11···11111·1·1····11·11··1111·11··111··11··1·1·····1·1···1··111··11111·
out 23 (439)	1······111··1·1·1·1·1··11·111···1····11·1·····1111·1···1···111·1···1··1···1··1····11··1··111··11·11···1··1·1·1·11····1111···1··1··1·1···1·1····11··1·11··1···11·······1·11·111·11··1·11·1·111··1·11·111·1·111·····111111·111111111·1··1111·1111··11111·1·11111··1···1·111111·1·1·1·1···1···1·1··11111··111·1·111·11······111··1··1·1·····1···1··11·1··1·11··11···1·111·1111··11·1111········1·111·1·11··1····11·1·11·1·1·11·111111·1·1···11111···11····1·111·1···1·1···1·11··11·····11·1··1····1·1··1·1······11··11111111·11·1····1···1111···11·1111111111·1··1·111111···1·11·1111···1111·11111·1··1·1·11··11·111···1·1111111·11·1···1···1·11·11·1···111·1·11··1··1·11··11·1111·1·111·111·1··1··1···1··11·1·1··1···1·111·1·1·11··11·1···1·1··1····1111111·1····11···1111·1111·····1111·1111······11·11··1··1·1·111···11······11·1··1·····11·····1··1···1111·111·1111·111·11···1·1··1·1·1··1···111·11··1
out 24 (415)	·····1··1·11·11··11····11·111·1·111·····1111·1·1··1···11····1·11··11·1······111···11·11····1·1··111·····1··11··1·1111111·1·11·11·11111····111··1·1···11·······1·····1···1····1·1·····1·····11··11·1··11·111·11·1··111·1·1·11··111····11·1111·1··1·1··1···11·11·11·1··1·11111·1··1·1···1··1·1··1··111111·11111·11·1·1·11·1·11··11··1·1111·111111·1·11····11···1····111·1··1·11··11·····111·1·11··11·11··1··111···1·······11·1····11·111···1··1·1111··1····1·····1····11··1·11·1·11···1·1······11·111·1····11·····1··1···11111·11····1··111·11·1··1·11····1···1··1·1·11·1·····11111·1·11·11···111111··1··11·11·111··1111·1·11·1·1·111·11··111···1111·111··1·1111111·1·1·1111··111··1·1·1····111111····11···111·11··11·11·111··11····1111······1·1·1······11····11···1·1·1·1·1111·11111·1······1···11·1111··11····1111······11·1·····1···11··1··1···1·1··1·11····1111·····11···11··11··11··1····1111··11··
out 25 (439)	··1··1·1··111·11·1······11··1········1111111·11·11·111·111111···11·111·1·1·1·1··1·1·1···1·1·1······1111··1111·1···111·11·11···1·1···11·1··1111·····111111·11··1···1··11·1··1111··11111111·1··1·11·1·1···1···11·1··111··11···111·1·11···1111·111··11·11··11····11·1··1·1111··111····1·111·11···11·······1···1··1·1··111·1111···111·11111·11··111···11111·11···1····1·111·1·1··1··11·111·1·11··11·11·1··1·1··11·1·1···1·11·1111·111·1111··1·11··1··1·11··11···11·11··11···1·1·11·1··1·1·1···11·1··1·1·1·1··1··1···11·11···1111·1·11·111··1·1···1·1·1·1··111··11···1·1·11····111111·1111·11····11··1·1····11··11·1···1·1·····11·11·11·1111··11·111··1·11··111····1111·1·1·11··111····1···11111111··1·1·11·111·······11·1··1·1···11·111·1·1·1···111····1··11··111·111··1··1·1···11·11··1·1·1·1··1··1·11···1·1111111·111·1·11·1·1···11·1·········1··1·····11·1·11·1·······111·111·1··11·1·1····1··1111·1···1
out 26 (447)	1·····1·1·111···1··11··1··111·111·11··11···1····1··1··1··1··11··11··11111·1····1·1···11·11···111·1111··111111·1·1···1··1···1·1111·1··11·······1·1···11····1·11·1111··111·····11·····11111···1·····1··11·1·11·11··1····11·······111··1·1·111··1·1··1·1111111·1·1·1·11··11111·1····1···1··1·11111111·11·····11111·1·1111·111·1···11·1111·11111111·11·1111·1··1···111··1··1·111·1111······11···1111···1··1·····11···1·111··11·111····1·1·11·11111··111·1·11111·111·11111·1111··111·1·11·1·11···1··11··1·1·111··111··1·111··1···1··1····1111111·111··11···1·1···1111··1·1··11··1··11····1·11··1·1·······1·1·11···11··11··1111·1··111·11···1·1·1111·111··1111··1···1·111··1··1111111···1111·1·111·1····1·1·1·1·1····11·11···1111··111··11··1···1·1··111·1·11·1··1····1·1·1·111111···1·1111··11···1·11·111··1····1····1111·1111··1·1·1··11·1··1···1··1·1···1·111··111·11···11·11111·1·1····1··11111···1··1·11
out 27 (415)	11···11··111···1·1··11·1····1·1·1··111······11·1·1···1111·····1·11······1··1·11111····1·11·11111····11·····1···1·1·1·1·1·1···1···1·111·1111···11·1·1···11·11··1··1··11··1111····111·11·1111···111··111·1111·1·1·······1·1··11··111··1··11·····11······1·1··1··11·1·111·111·1···111111111···111··1·11···1·11·1··11111·1·11111111·1111···1····111··11····1·111·11·1·11·1··11····1·1···111·1···1·1·····1·1····111·11·11·1·11·1·11··11·1·1·1·····11··1·1111·11··111···11·11····1··1111111···1·1···111111···11111···1····111·11·1·11········1·1·11111·111·1·1···1···1···1·11·1111··11·1·1·111·····1···11111111··1·1·····11···1····1··1··1···1··111·11·1·11··1·11·1···1··11····1··1·1·1··1·····1·1·111·1····1·1·1111·11···1··1····1·1·1·11··1········1111·1·1·1···11·1·····1111···1111·11··11···111·1·······1···1···111111·11111··1111··1·11·1·1···111·1··1··1·11··1··1·1111·1·11·1·1···1·····1·11·1·····11··
out 28 (415)	1···1111111·1·1·111··11··11111·111··11··1···1··11·1·11·1111··111··11·1···1·1·1····111·1··1111··1·1···1·11·1····1··1·1··1··1·1··1····1111111111·11·1·11···11111··1·1·11·····1··1111·1··11·1·1··11·1··1···11··1·····1·······1·1·1·1·····11·11·11·····11·11··1111·1111111···11111·······1··111··11···11·····11·1·1··1111··1···1·11··111·11····1·11··111·11·1·1111··1·11111·1··11·1·1·1·1··1··11··111·1··1·111····1·1····111··11··111·11·11··11·······111··11111··11·1·111····1·1·1··1·1·1·1·····1111·1··111·11111···11··1·····11·1··1··1·11······1·111····1··1·1···1·1··1·1·1·1·1·1·1···111·1·1111·1···111111·1·11·1···111····11··1·11·1······1···1·11111···1··1111··11··11·1··11·11·11····11·1·1······111··1·11·····111··11·1·111······1··111111··11·1·1······1·1·11·····1·11·1·11·111·······1·······111···1··11·1···111·1··1·111·····1·1··11·····11·1111······1···1·11·111·11··1····111·1··11·······1·11
out 29 (423)	·1111·1·1···11··1111111··11·111·····1··111···111111·1111··11·1···11··1·11···1·11·11··1·1··1·1·11·11·1·11·1··11111·1·······1··11·1·1··1···11·1···11·111··1·1·1111····1···1·1·11·11111111··1·····1·1·1·1········111111111·····111··11··11·1···1···1··11·11·1·1···1··111·1·1·1··11··1····1·1111·1·······1·1·1···111·1·1·11·111···111···111·111·11····11··11111·111·11·1···1·····1·11··1····11111·1111·11·11·111·111111·1·1·1····1·1···1··111····1······1·11·1·111·1·1·1···111·1·1·11111···11··1·1·111·11··11···111··11111····1·1·1··1111··11·1·1·11····111···1··1···11··11··111······11·111····11·1···11111···1··111·111·1·1111··1·1·1·11······1111···111·11··11··1··111··11··11·1··1·11··11111···11··1·1··11···1·1·11····11·1·····1···11··1·111·1·1··1·11···1···1·11··111111·11·····11·1·1···1·1······1··11··11···111····11·1····1····1111··111····111·1··1·1·1····11··1·11···111···111···1···1····1·····
out 30 (407)	111·1····111·1······11···11·····1111··11·11·1·1·11·1····1··1·1·11·1···1111··111····11·11···11···11··11111·1·1·11111·1·1···1··1111·11··1··1111·1111·1·1····1·111·11·1···1·1··11·1··1·111·1·1·1·1···11·····11··········111···1·1··········11·1111·11····1111·1·111······1·1111·1··11······1111111111··111··1111··1··1···1··1·111··111···1·11·······11····11····11·····11·1111··1·1··11·1111··111111·1·1·11······11·11··111·1···1·····1·1·1····1·1·1···1···11·11111·1·11····111··1···1·1···1··1···11·11·1···1·1·1·1·1·····11·11··11·····1···1·11····11··1·1··1111·····1·1······11···11·····111·1··1·1··11·11····111·111······1·11111··111·1·····11·1111··1····1·1··11·1·1·11·1······1·1··111··1··1····11··111········1·1·1·111····11····111·11···1·····1·1·11·11······1·1·11·1111··111111··111·1···1··111··11···1111······1·1·1··1·1·1·11·1··111·1··111·1··1·11·1111111·1·1·11·111······11·1·1111·1·111·1·
out 31 (423)	1·111·111·11··1·1··1·····11··11·111··111····1···1·1·11·1·11·1···1···1·1···11··1111·11·1··11·1·1·1······1·1···1··1111·1·11··1···11·1·11··11··1111··1··1··11·111·1···1···1··1·1·11··1·11·1···1111··1··11··1···11·1·11·111·····111111111·····1·11···11·11··1··11·1···111·11···1·1·····1·1·11·1··1·11·1·1·11··111111··1···1··1···1····11···11··1·1·1111····1111·11···1111····1·1··11····1·1·11···1111·11··11·····11···11·11·11····1··1···1111·111·1·1111······11···1·11·1······11···1··111···1·1···11·11·1··1··111111···11····11·11··11·1111···11···1·1··1·1···1·11·1···1111··1111·····1·1··1·1111···111··1·11·11·1111·11111···11··11·11·1·1·11·1·11····1··1····11111·····11·1111···111111··1·111·1···1·1·1·1·1····11··11··11···111·1111····1·1·11··1··1·111111·1····11·1111····11··1··1·····1·1···1···111111·1·1·1····11····111111·1·1······1·1·1···1··1····111·11··11·111··1·111·11·11111·11···11··1···1·
out 32 (423)	·1·1······1····1·111·1111··1····1·1····111111·1·1···1·11111··11····1··1··1····1·····1111·11·1111··11···11···1·111······111····1···11···1111···1·····1···11··1111··111·1···111·1···1···1··1·1···11·11·1·111··1·1·11·11··11··1······1··111···111·1···11·1111·1·1·····1···1·111·111··1111·11·1···111···1111··1·1·11··111··1·11··111······1·1··111··11·1·1··11111·1·1·11·11111···1··1··1·1·11·1···11·1·111111··11·11·1···1····11·1·1····1·1·1111·····1··1···1···1··1·1·1···1·11·1·11·1·11·11·11·11111111111·1··1·11111·11····11·····1·1····1·1·1··1·1111·1·111···1111·11111·1·1·1··1·1··111·111··11111·1·11·····1····111·1111·11·11····1··111·111·11··1111······1···11··1··11·1·11··1111···111·1·111·1····1·1·····11···1·11·1···1··11·11·····11··111··1··1··1·111··11111···1··11·····111·1·1····111·11······1··1··1111···11111·111··1·1·11·····11111···1······11·11111··1·1··1·111····11·1··11······1·11··1
out 33 (447)	1··1·1111111···1···1·11·111··111·1·1··11·1··1···11···11·1·11·1···11····1·1·11·111·1111··1111·1··1111·11······1·111·1·1·11·1·11···1··1·11·11·111·1·1·11···1·1····111·····11····1·1111···1··1·11··111··1·1·1·11···1····111···11·1·11·11·1111·1·111·11···111··1··1··1··1·1111··1111·111·1····1·1·111·11111·11111·1·1·1··1··111·111··11·1111···1·1·111···111··111·11··1111···1111··1·1·1·1···111111·111·111··11··1·111··1·····1·····111··1·11·11··1····1··11·1····1·····1·11·1···111·1·1··1·1··11·1111··1·······1·1·1·······11····1··1·11·1·1·111··111··1·····11····1··1·1111·1··111·11·1111···1·1·1·1··111··11·1·1111······111··11·1·1111111·1··111·1·1·····111·11111···1·1·1·····1·····1·1··11·11·1···11··1···111·····111···1·1111·1·1·1111·11·1···1···1·1··1··11··1·11111···111··1·1111···111···111··1111111··11··1···1·1···1·1·11·1····11·111·11111·111···11·1···111··1··1··111111··1111·1·1·1·11·1·111
out 34 (423)	1·1·1·1··111·1··1···1·11·······111···1·11···11·11···1·11111··11···111·1···1··1··11·1·1··1···1··11·1·1··11··111··1111111111·111111111·111··11·1·1···1····11·1·1·11··1··1·1·1·1·1·1····1··1··1·11··11111·111··11·11······111··1···11·1·1··1·11··1111···11·1·1···1··1·1·1··1·11··111··111·1··11·········1111·111·111······11·111·111··11····1111··1·111···1··1·1·1·1···1···1·1·1·111····111·1··1111····1111··111111····11·1··1·····1111····11·1···111·11·1·1··111·1···11·····11·111····1·1·1·111······1····1·11111·1·1111·1··11···11·111····1··1·11···1·11···1··1··11··1·11111·1·1··1·1··1····1·11··1·111·1·1··11··1··1···11·1··11·11··1······1111·111·1·1·1··11·1··1··11·····11···1····1·1111111·111111···111·11·11·1··11·111·11··1·1111··1·1111·111···1111···1·1·1··1····1···1··111·····1·11111··1·1·····1·1···1·1····11·111··1·····1·11··1····1····111··1··1·11···11··1·1·····1·111·1·1··11···111·11111
out 35 (439)	11·1·1111··1·11·1·11··1·11·····1·1··111··1·11·1··1···1··1·11·1111···1··1··11··11·111·1··1··1111111·····1··111······111·1····1·1·11·11··1···1···11111·1······1··1··1·1·11111·1·1111111111111·1····11··1··1··11·1··11·1·····1·111111··1·1··1·11···11····11··1·11······1···1111··1·111····1111·1·11·····111·1·111··11·111·11·1·1··1111····1···111··1·11··11··111111····1··1·1··1··111··1·1···1··11··1111·1···1·11·11·1111111·11····11····11···111·11··1111··111··1··11·1··111·1····1·1···1···1····11·11·1·11·1111··1111·1·111·11·1·1·1···11·····11···111··1··1··1··11··1··1··1···111···111·····111·111111··1·1····111·1···11···1111·····1··1·1·1··1·1·····1·11·1111111·11·1·1··11··11····11··1·1···11111·1·1111·1·1··1··11·1···111·1··1·1·11····1·1·1111····111111·····11···111···111·11··111·111·1·11··1······1111··1·11111··1·1·11·1··11··111··1·1·11····1··11·1··111·1·1111···1·111·11·1··1111·11··11·1
out 36 (463)	111·111··1··111·····111111···111·1···········1·1··11·111111···11·····111111·11··1··111·111·111·1·····1·11111·111··11·11111111·111····1··1··1··1·11·111111111··111111··11·1···1111·11··1·1·1·1·1··1··1·11····11·11·111·1111···1·1···111·111·1··1·1··11·11111····11··1111·11·1···1··111·1····1·1·11···111·1·111·1···111···11·1·111·111····1·111··1·1··11···········111·1···1·1·1···1···1·1····1·11·1·1·1··········11·11··111111··11·11··1111·11·1111··111···1··1·111···1·1·1·11·11·1·11·1··1··1··1111111······111111··1·1···1111··11111··111·1·1·1111··1··1··11·1·1·11··11··11·11·········11·11111111··1111······11·1111·111·1······111·1111···1·1111···11·11··1·1··111·11··11···1··1·1···1·1·····1··11··111····1111·11·1·11·11···1····11·111111···1··111·1·1111····1·1·11111111·111·11··1··1·11··11·11·1·111···11111···11·1111·1·1111111·1·11······111···111··1··111·11····11·1·1·111111·11·1··1·1···111
out 37 (431)	111····1·11··1·1111·1····11·11··11····1···111·11··111·111·1111·111·1·1·1···1·1·····11·11···11··1··11·1·11···1··1·1·1··11····1··11·11111111·1·····11·11·1·1·1···111·11·111111·······1··1··11··11·1111··111·111··1·1·111111·11···1·11111·1·111·1····1··111··11·1··11·111····1··11··11······1··1··1··1··1··111···1··1111··11······111·11·111···1·1··1·1·····111·1····1·1·1111····1··1···1111·1··1·1·1·111···1···1·1·11·11···1111111111·1··1111111··1·11·1·1····111···1111·111·1·111·1·······11·111·1·111111·11···111·1·········111·11·1···1·1·1111·1·1·1·1·111···1···11·······1·1·1·1·1·11·····1···1·1······11···1·1··········1·111····111·111··11111·1·11···1·1····1·11·····1111·1··1·1·11·1·1····1·1·1·1·1·1·1·1·11·1·1·11·111···111···1·1···111·11·11··1···111···1·1···1··11·1·1··11·1111··1·1·11·11··11·1·1·1·1··11·11·11··1·111·1·1··1·1·····11···111··11111···1·111·11·1·1·11·11·1111·11···11···1·1·
out 38 (447)	111·1····11··1·1111···1·11··1·1·1111····1·111···11111··1····1··1··1·111··1·11·1·11·11·1·1··1·1111··1··11····1··1···111··11·111···········1·1··1······1··11···111·111··11····1111·1·····11·111··1·1···1···1···1111·1·11·1·11·1·1··11·111···1··1··11··11···1·1·1111·11111··111·111111·1···111·1··1·111·11····1·····1····111·111·1·11·11111·1111·1·11·1·1·1·1111·1111111···1··111·1·1····1·1··1···1····11··11·1·111111···111····11·1·1···11··11·11···11··1111·11·1··11·····111·11·111··1·1··1···1·1····1···1··1··1·11···1·1·11·1··1····1··111···1111·111···1·····1·1··1··111···1·111·1·1··11·1·1··1·111111·1···11··1111·1111·11·····11··11··1111····1111·1111·····1··1····1··11·111111111····1·1111···111····111···1·1111·11·111·111·····1··1·11·1·1·1··111··1·1·1111·1···1··11··111··11·1··11111111·111111······11111·1····111··111·1·1··11·1·11111····1111·1111·111··1·1·1··111·11·1·11111·11·1····1···1
out 39 (439)	1··11····1··1··111111·11··1·1·1···11·1111111·1111····1·11··1·1··1····1···1···1·1111····1··11····11·111··1111·11····1··11·11111111···1·1·11·1111········111···1··111·11····11··1····1··111·1··1··111···11·1·111······111··111···1·111·111··111···1·1·111111·1·111··1·11·1···111·11···11·111·11···1·111··11····111··111·1·1·1···1·1··1111····11·111·1··111··111·1111·1·1··111··1·11·1·1·11·11·····111111··1··1··11111····11·1··1···11···1····1·········11·1111·11··11······11111··1111·1·1·1·1·1······11···1··1···1·111···1··111·1··11·11·1··111··11·1·1·11·1111·1··1······1·1111·1111·1·11··1·1··11···1·1·1····1·111111··111·1·1·11········11··11·1111·11··1111····11···1···1··11··11·1····111·11111···11111··1·1·1·11···11111··11··1···11·111·11·1··11···111··11··1·1·1·11·11·111·······11·111·1·111·111···11········1·11·111·······1····1·1111·1·111111·1111··11··1111····11·11··1·1··11··11·1··1···11
out 40 (447)	1·1····1·11··111·1··11··111·11·11··111····1··1·11··1··1·111·1··11111··1·11·1·1·····11111·1··11111··1·11·1·111··1·····111··1·1··11···11·1·······1·1·1···111··1·······11·111·11··1·111·11·····11111111·111·11·1··11·····111·11··1·11·1···11···1111···111·1111·1·1·1···1·1111·111··11·111······1··11···1···11·111·111·1··1111111···1111··1·1·111·1··11111·1··111·11111··11·1111·1·11·1··111·11111···11···11111··1·1·111·11··11·111··111111·11··1···111·111··1·1·11111·1···11·1··111··1·1·1·1··1·1····11111·11·1·1·111·1·11····1·1·111·11···111··1111·1·11·1·····1111111·11·1··1···111·1·1·11·1······1·····111····1·1·1·11·1······1··11···1······1···1·111····11·1·1111·11··1111····111····1·1··111·1·111111111····1····1··111111··11··11···1···11·1··1·11···11·1111······1··1·11·11··1·1·1111······111···1··1·1·11··1····1···1·11····1·11··111···111·111·1·1···11·1·1·11··1·····1·11···1·111·1··1···11111·
out 41 (455)	···11·11·111·1··1··11·1·1·1·····11··111·111·1··111··1·1··1·111···111··1···1·1···11·11··1·11··11·1·1111··1·1·1·1··11111··11111···111·111··1·111·111111·1·1··1·1·1·1·1111·1111111111···1·1··11···1·1···111··1·111··11·1··111·11·1·1·1·111··111·111··1··1··1····1····1·1·····1··1111·111111··11··1··111··1111··1··1··1·····11··111·111·1···1·11··1·1·11111···1111·1·11···1·1·111·11·11··1·11·1··1····1···111··1··1···1··1·1··1··1111···11·1·1·111·1·······1···1··1·1··1·111····11··111··1·1111·1····1111···111····1··1·11·11·11·11·1··11···1·1···11···11··1111·1··1·111··11·111·1·11·11··11··11·1·11··111······1·1·11111···1·1111·11···11·11··1·1··1·1111111·1·111··········111·1···1···11·····1·1111··1··11··1111·1··11··11···111·111··1·111111···111·1·1·11···1111··1·11·111·1·1·111111··1··1·111··1·11···11·1···1·111·11·11111·1···111····11·1·1··11·1·1·11···1·11·1····1·111111··1111··1···1111·11·1·1
out 42 (415)	1·11··1·11···11····1111··11·1·11····1····111··1·11········1·1··11·111··1·1·1·11·1·1·11·1·1····1···111····11111··11··11·1··111111·111··1··1·11111··11··1··111··1·1·1111···111·1··11··11··1····1·11·1·1···1·11·1·1·1·1···1·····1111··1·111·11··1··1·11·1··1··11111·1····1·111·····11111·111···1·1·11·11·11···1···1··11··1·11·1···1··1····1····1····1111··1·111···11··11·111·11·11···111·111·1··11·1····11···1·1·11·1·1·11111111·1·1···1·111··11·11··1·1·1··1···1·111111111·1·11·1··11····1111··11·111111·11···········1·1··1·1·11·······1111······1·1·11·11····1111······111··1111·1·1·1·1···1··1111···111·1··1·1··1·1·1·1·11···1·11111····1··111·11······11·11·11····111·1·····111····1··1·1··11···11··1·111·······1·····11·1···1111·11·····11·11·111·1·····11·1111·11·1·1·1·111·········1111·11··11·111···1·····11111·111······1···1···1·1·····11····1···1··1111·1··1·11···111···1·1··11··11···1·1·111·
out 43 (407)	·1·1·11·1·1·11···1·111···1·1·11111111·1···1··11·11·1···1·111·1······111·11···1111·111·1··111····1111········11···11·1·1··1·11111··1··1·1·····1··11·11·········111111·1·1··111111·1·1··111·1······11·····1·1··1·1···1····11··1··1··111···1111··1·1·1·1···1·111·1·1··11·1111·111··1····11···1····111··1·1····1··111·1111·······11·····11··1·111··1·1·1··111·1··1····1·1·11·111111··111······1·1·11····111·1·11·11·1··111·1·11·11111···111··11···1··1···111·1··11···1111··1··11···1·····1·111·1·1·11·1·····1·111···11·1·11·1·11····11·····11···1·1111·1111·1·1····111··1·1··1·1·1111········11···11·····1·····11···1····1··111·1·111···1··1·1····111·11··1··1····1111······1·1···11··11111··11·1··1·111··1·11·11···1·11··1·1·111··11·111·····11··11·1··111···1·1·1·111·1·1···1·11·1111111··111·1·········11··11·1111·11·11···1··1·1·····11·····1··111·1···1·1···1·1··1··1··1·1··11·1·11·1·1··1·11···1·111·
out 44 (439)	··1··111·1·1·11·111·111·11··1·111··11·1··1·11···11···11··111·1·1111······11·1·1·1111··11··1··1111···1··1111·1···1··1·111·1·1····1····1·1··11·1·1·11··111··11111··111111111·1···1·····1·1·1·11·11111···11·111·11··1··111·1111·1·11·1··111··1·1·1·····1··11····1111····1··1···11··11··1·111····1111··1·111··11111·1·11·1·1·11··111···111·1··111···111·1·····1·1111111·····1··11···11·11·11111···1···1··1·1·1·1·111111·1··1·11·1··1·11111·11·1·1·11··1··1·1·11·11·111········11···11111·11·111·1····111·11····1·11111····11·····1····1·····11·1·1·1··1····11·1···11·11··111·11·1·1··1··1·1·1·1·1··1·11111·1·1··11··11··1·1·······1·11111·11··1·111·1·1111·11111··1··1··1·11··11·1··1·1···11·1··11·111···11··11··1··1··1····1·11··1···1····11·11··1·1111···11111·111·1·1····1·11·11···1···11··1····11······1·11111·1·1··1·111·1111··1·1······11··11···111111··11·1111··1·11···1····1111·····1·1··11··11··11
out 45 (423)	·11····11····11··1··1··1·11···11··111111·1·1·1·1···1·····11·1·····1·1···1··111111·1··1·11··1·····11·1·11111···111·11·1···11·11·11··111111····11·11·1·1·1··1·1····1111····111··111·1·1···1·1·1111·····11111·11·1·····1··11·11·1···1·1·1·1·1·1·1·1·1····11·1······1111····11·1·1111······1···11·1·111···11···1·1·1·1111111··111··11111·11·11·111··1···1·1111·1111··11·1··11·1·1···1·1111···111·1·1·1·1··111111·111·····1·1··11··1··1·111·1··1·········1···111111·11·1111·1·1·····11·11·1·1·1·1·1111·1·11··1···11·111···1···1··1·1·1·1111··1·1··111·1·11··11·1····1·1·11··1·1·1··1·1··1·11··1··11·111·1···11·1·1111··1·····111·11·1··1111··1···1··1··1·111·1····1·11·····1·11·1········1·11111111111·1··1·1··1··11·1·1·1·1··1····1·1·1·11··1··1·1111···1····1·111··1·1·1·11·······1·11···1·1··1111·1·····11·11111···11······111····1··1·11···1·111·1·11·11·1···1····1·1·11111··1·1·1·11·1···1··111····111·
out 46 (423)	··1···1····1·111·1·1·1·111··1·11·11··11·1··1···1····1·1··1··1····11····1111·1111·1··1·1···11·1···1··1·1·111·11·11111·11·1·111·1··111111····11··1·11·1··1·111·1··1·111·1·1111·1·1····11····11·11·11···11·11·111···1·11··········1···111111·1111·1···1111·11···11·11··11··1·1·1····11·111·····1111····111·1··1·11·1·111111··1··1···1··111·1·11··111···11···1·1······11111·1···11····1·1·11··1·1·1·1··111111·1·1·1···11···11··111····1·1···1··1··1·1···1·11··11····11···11···1···1·11······111111111·1·11·····11·11····1·1·····1··1····1···1·1···11111·111111·11·1·1··11··11·1···1111··1·1·111···111·1·1··11111····1111·11····1···1·1111··1111·1·1···1·1·11111·11111·11111··1······1·1·11··1···1·1··111··11··1111·1·111·····1·11·111··11111·1····1·111··11··1111·1111··1·111·1··111···1·1··1·1·11···1···1··11··1·1·11···1111··11······1·1···1··11·····11··1··11···111·1·····1··11111··1·11·1·····11·······
out 47 (415)	·1111111·1··1··1·1······1····11······11·1·1·11·111····1···1····11·1··1··1··1·1·1·111··1··1·11111111·111·1·1···1··1··11···11··111·11···1·11···1111··11·1·····1··11···1···1·1··1··11···111·111···111·11·111··1···11·111·1·1··1·····111··11····1·11····111·1··111···111·······11·1·11·1·······1·1···1·11·1···1·111·11··1·1··1·····1········1···1·1111·1·1···1·11111·1111·111···1···111111·1·········1·1·1··1·11·····1···11··111·11·111·1···11·11111·····111···1·····1·1111·11·11111·1111··111·······1111·1·1··1·1····1·····11111···11····111··11·11·1·111···11·1····111···1····111·1·11···11111····111··1111··1·1······1·1·11·······11111···1·111111111··11··111·1·11···1·1··11·1·1·1··11·11·1111·1·1111111111···1·111··11····1·1··11··1·····111111111···1·····111··1·1··11·111··11··11··1·1··1··111·11·1·1·1·1111·111··11······1·····1···1·1·1··11···1·111··11·1·11·11·1·1···11·····111··1·11····1··111··
out 48 (431)	···11·11·11···11·1·1··111···11111··1·1111·11111···11··1·1·1··1····11·1·1·1111···1·1····1·1·1·11·111·111111····11····111·111·····1·11·1···1··1·11··11··1·1·11·1111·1·1·11··1··1111·1·····1·1·····111·1··11111·····111·1111·111·1···1·1·11111·111··1·1·1····11··111111·1111·1···11··1··1··11·1111·11··11····1·1·1·1·1···1··11··111·11·1···1··1···1··1·1·1··1····11··1·111111··111··11·1··1·1··1···1···1····1····11··1··11·1111······11·111·111····1···1····1·1·1111··1·1·11·1·1111····1·1··1111·····1·····1·1·····11·111·1·······1111··1···11111···1·111·····11··11····1··1······111···1111111··11·1·111·1111·····11··11·1111·111·1··111·1·1····1···11·····1·1··1··11111·11111111··111·111·1·1····11··1···11·1···1·1·1·111·1·1·1·111···11···1·1··1111·1··1·1·1·11····111··1·111··1··········1111·1·1·11···1··1111··1·11····1····11··111···1111·11111·11·1·11··1···1·1·1·1··111·111·1·11111·1····111·11··1
out 49 (455)	111111··11·1·111·1·····1····11···111·111····1111··1···1··111·111·1·1·11··11111·1·1··1·11··1111111·1·11··1·1·11·11·····11···1··1···1···1·1·1·11·1·····1··111··11·1··1···1··1··111·11·1·1·1·11·1··1111·1··1··1·11111111···111·11·1·1······1·1111····1··11··11111·1···11111111········111···11·11··1·1·1·1·1··1111···1····1···1·1·1···1·11·1··1····1·1········1111·111··11····1·1111·11·1···1··11·11·1··1··11··1·1···1·1111··11·····1·11··1········111··1111·1·······1111···1·11·1111·111··1111111···1·11···11··111··11···1·11·1·1·1111·111·11·11111·111111·····1·11111···111·1······1·1···111·111·1··1··1··1······111111·11111··111111··11111··111111···1··11·11·1··11·1·111·1·1··1··11111··1·111·1111·1··1·11111·1··1·111··11····11···1·1··1·11··111·····111·11····111·1·111111·1·1···1·1·1·11··11·······11··111·1·1·11111·111·1·1·1·11··11·1111111·11····111··11···1·1111·111·111·11···11·1·1·1··1·1·11
out 50 (391)	1111·1·1···11·11····1·1·1·····1···1·1·1···1···1·1·11·11······1·1····1·1··1·1·····1·1111111·1·11·11···111···1····1··1·111·11·······1··1·1··111··1··1·····111···1·11·111·1111···1·111111··1··1·11··11··1···1·11········1·1··11········11·1····1··111·1··11····1·1··11·1··11·11··1······1·111·11·····11·1·1·····1··1··1··1··11·1·1··1··1··1·1···1111·1·1··11·111·11··11·1··1·1··········1···1····1111···1···11·111·1···1···111····1···1··11111··1··1·11·1···1··111·11111··1·····11·1··11111·······1··1··1·1·11·1··1···1·1·1111··11·1·1·111·1····111111·11·····1111·111·1·1·11·1····1····111··11··1····111··1··11···11·111···1···11·11111·1·1··111111··111·11···11·111···1·1···11···1···1··1·1·11·········1·11·1········1···1···1···1·········1·11·1·1111···1·111·1·111111111···1111·1···1·1·1··1·1····1·1·1···11·111·1···111··1·1·11·11111··1·····11···11···1·11···111·11111·1······11111··111···111···111
out 51 (463)	111·11··1··111·11·1111···11·1······111··1··1·1·1··11·11·1·1·111·1··1·11··1·1·1··1···111···1·1·1··111·111111···111·1······1·1·1111···1·111111··1·1·1·11111··11·11·1·1·1·1·11··1111·······11··1111··1·11·11····11··111·1·11···1··11111111······11···111·111···1··11111·1·1···1·111·1····1···1·11111111·····1·1···11·····11111··1·11·1·1·1·11·11·1··1·1111·1·111·11·11·11··11·11···11111·11··1··111·1·1····111·11111···1·111··1··1····1··111····11111111·····111·1·111··11111·11111·1··1···1·11·1····11····1111·111··1·11··11··1·1·1·11··111·11·1·11·1·11111···111·1111·1·11·11·1···1·······111·1111··11·111·1··11····1·1·111··1·1··111·1111·11·1···1·1111·····1···1·11·1·1111····11·······1111111···1··1··111111111·1·111·1·1·····111··1·11·1111·1·11·1·······11······1·1·1···1···11111···11··1··111·1·11·1·1·11111····1··11·1·11·1·····1·1·11111111··1··1·1···111·11·1·11·111···11·11111111·1··11··111··
out 52 (431)	··11···1·1···11···1···········111·11·111111··11111······1·1···11·1·1··1111··1111·111111····11·1·1··1··1·11···1····1·1111·11·111···1·1·111··1··1··1111·111····1·11····1··1···11··1··1··1····1·11·1·····111···1·1·1···111··11111·111··1111···1··11·111··11··1111·1·1·····1·111·1···1111·1·1·····1····1····111··11···1·1··1·111···1·11····1·1111111··111·1··1···11······11111·11··11····1··11····11·1······1·11111··11·1···1··11·111·11·11···11·1····1·111·111·111·1····1·1111·11111····111·1···1111··11111111·11·1····1··11··111·1······111·111111·11··1·1·11···1··1··11·1··1····111111111·1·····1·11····1·11·1··1···111111·111····1111·1··1111·11·11··11··1···1·1111·1··1111·11·11·1·1····1······11·1·1····11···1111·1··1·1·····11·111···1·1······11111····111··1·11··1·111·111·111···1··111··111111··1111···111···11·1··1·1·111·11111·1····11·····1·11·111··111······1··1·11··1··11······1·1·11·1·11·11
out 53 (431)	111·1··1··1··1·1·1·1·1··1·1··1··1··1·1··1······1111··1··111···111·11·11·1·1··1·1·1····11·····1····11·1111···1····11·111··111····1·1··1··1·1·1··111····111········11·11··1·1··111111111·1··11·1·1···111·1··1·11··1·111··11··111·1··11··1·1··1·111··11··11··1·····111·1·111·11···11·111········1··11·1··1··11·1111···111···1··11·111··1·11··1·1··1··1·1··1··1111·1·1·11111·111··1·11·······11·1·1·111·11··11·1·1·1·1·······11·1··11111·1·1111111·11··11·1111·1····1······1·····1·1····11·1······111····1·1111·1···11···111·111···11111·11·1·11··1··111··111··1·11·111··11···11·1·1··1·1·111····111··11·1·11·····11···1·1·11·1······1·11··1111111···11·1·11··111·1···11·1·11··111111··1·1·1·····1·11·········1·11111··1·1··1·1·1111·1·1·1111··11···1····1···1···1·111111···111·11·11··11···1111111···1·1111111··11··111··1···11·1·1····111··1·1·11·111··11··111····11··111······11··1···111·11111111·111·1
out 54 (431)	·1111·111···1·111···1·11111···1··1···1·1··1·1·1···11·1··1·111··1·11·1·111···1111·1·111111··1··1·11···1··1·11111···1111···1···1111111···111···1··1·11·11·1·1·11·1··111111···11···1·11··1·1·····1·111·11····111·11111·····1111111···11··1···1111······11·111·1······1···11···1·····11······1·1···1···1111···1···1··111····1·1···1··1···1·1···1·····1···1·111·1·111···1111···1·1···1··11111·1···1·1··1···11·11···1·11·1111··1·1···1·1111··1·····1··1··111111·1111·1····11·11······1·1·1·11111··11111111··1111·1111·····11·11·11·11········1·1··1·1···111·1···1··1·····11·····111·1·1·11·1·····111·1·11·1·1··11··11·1·1·111·1····11····111··1·11···11··11··11·11··11·11·11·111111····1·1······1·1·1·1···11111·1·111··1···1·1·1·1·11·11·1·1·····11··111··11·1···111··1111·1·11·11·11·1·11··111··11111·1··11····111·111·1·1··1·1···11····1·1··11·11····11·1·1·1·1·111·11111·1·1·1·1·11·11·11··11·11·111111···
out 55 (439)	111·1··11111·1····11··1··1111·1··11·1·1·1·111···1·111·11··1·1···11·11··111·111·1··111·11111·111········1······111·11·1···11·1···11111111··1·1·1111111·1···11·11·1··11··1·1111·1···1111·1·11111··111··1···11·1·11111··1·1···11·1·1·1··1·1·····11·1··1111·1··1·1···1·11·1·11····1·····11···11·····111··1···1·11···1·111·11··11·1·1··1···11··11·11·1···1·1111·1111·1·11··1·1·1··1·····1··1·1·1··11·11··11·1··111···1··1·1··1··11111·1·1··1···1·1···11111····1·1111111111·1·1··1·111··1111··1···1············1·11··11·1··111··1····11··11··1·1····1···1·1······1111·1·1·1·1111·11··111··11··1·11·····1··1··11···1·111··1·11·1·11·11·1111···11·11111·11··11···1111111·11·1·1·111···1··111··1·1···1·11111·1·11·1·1··11·111·1·111··11·111······1····1·1111111·····1·1·1111··1·11·11··1······1···1···11111····1·11·····1····111111·111111····1··11·1··1·111111··111·1·11··1·11····1··1·11···1111··11····11···1·
out 56 (415)	11·111111·1··111·11·1·11·1···11··11··11·1·11·1··1··1········11··1····1···1··1··1·11·1····11111····111·1·11·11111····1··11·····1·11··1····1·······11·1··111·11···1·1111·1···11··1·11····1·11··1·1·····111···1··11··1·1·1··1··1·1·1·11111···11····1·1·111··1·11·····1···1··111···1·1111111·1·11·1·····1·11····111111111···1···111·1····11·1111111·11·111···111····11111·1·11··1·1··1·1·11······111··11·11111·11··111····1··1····111·11··111·1·1·1·······111·1·11111111·1·······1··11·1·····1111·11·····11···1····1·111··11·1··11···1·····1···11·1··1···111··1··1·111·1111·1111·11·1·11··1·1·1··1···1·1·11111··11···111···1·111·1·1··1111111·11·1···111··1··11····1·····1111·111·1·11·111·11···1··1·1·1···11·1·111····111····1····111··11···11111··1111····1·11·11···1···1····11··1111····11··1·1111··1····1·11·1·······1···11111·11·1···1·111·1·····1·1·1··1···1·11·1···11····11·1··1··1··1·1··111··11·1·
out 57 (431)	·11··1·111111··111···········111·111···11·····1··1··11···1···11·1··1·11·1··1·1···111·1···1···11·11···1111·1·1·11111111··1··11······1··11··111···111111·1·111··1111·1111···1···1·11·1·111111··1·1···1·1·11·11·11111·1····1··1··1··11····11··········11··1··1··11·1·11··11·1·····11·····11···11111·1111·111·1··111··1111···1·11·1·1·····1···1111···1·1········11·111111··11···11········11··1111·11··11·1·1··111·1·1111··1····1···11111···1··1·111··111··1····1·1··1111111·11·1·1··1111···1111·11·1··111···111·1··1·1·11···11····1·1111··1··1···11···1111··11···111·1·111········111111·1·11··111··11·1··111··1··11··1···11·1·11·1··1··11·11··11111·11··1··1···1···1··11111·1·11111····11·1··111111···11··1··1··111111·11··1·11··1·111·1·····1··1··111·1···1·1·111·1··1···1··111·1··11···111···1·11···11···1·111·11·11···1··1··11·1·111·1··111····1111··1·1·11·1··11··1··111·1···1111··1··1···1··11···111
out 58 (423)	11···11···11·11··1····1·11·1·1···111·11111····11··11·····111111···11··1·11···1··1·1····1··11·1·111···11·11111··1111···1·1·1·1·11·1··111··1·1·····1··1·1··1·1·1·1·1······11··11····11··11111111··1·111·1···1···1111111111··11·1111···11·11·11·1·11··1·1····1·111·111·1111···1·1·11·11··111111······111111··1···1·····1111·1·1·111·11··1·····1·1·····1·1·1·1···111··1···1·11·11111····1·111·1·111···1··11··11·111·1··1·11·11·11·111·1··11···1····11····1·····1·11····1····11·111···111·1·1·1111··11··111··11··1··1···1···1·11····111·1··············1111·1·1··1··1111····1··1··1···1·111·11····1·1····1·1··11·1··1·1·1·1··1·1···1··1·11·1···1·111·1·11111··1111···1·1·11·11111·111·111·11··11·111·11······1··111·1·1···1111·····1·1111···111·111·1··1··1········1·1111·111·11·1·1·11111·11·····1·111·1····1·1····1·111····1·1·11·11········1··1··1111···1···1·1·11111·······11·11··11··111··1111·1111·1··
out 59 (447)	···1111·111··111·1··1···111··1·1···111111·1111111··111111···1·111·1···1···111·1·1·1·11·1····1····1111··1·1·111111····11····1111··11··111·1··11··111111·11·····11111·1·······1·1·1··11·1·····11·11··11111111·11·11·111111··1111···111·11111····11·11····11··11··1·1·1111····1··1·11······11····11111··1····11·1·1·1·1·····11··11·1·111···1·11··1·11···111·11111··1··1··1····1··1·1·111··1··111···1·11·1·1··1··1111····1··1·1111···1··1····1··1·1·1····1···1··1111···1111111····11···111111·1··1···111·111··11·11·1··111·1·1·1111·11·11··1111·1··111·1··1·1·1·11··1··1111········11111·11·1·1·111··11·1··1·11··11·······11··1·1····1111·11··1111··1·1··1·1·1··111·11·····1111···111111111·111··1··1·11·11·····11··1111·1··1·11··111·111·1··1·1·11·111111·11111··11···11····1·1··11············11··111··1·1··1·111·1·1··1·1···111··1··111···1·1·1···1··1·111·11·11···1111··1·1··1··1··111··111·1··1111··1·
out 60 (423)	·111··111·1·11·111··111·111····111·····11·11·1···11·11·····1·1··1·1·1··1·1111·1·1··11····111111··1·1·····1·1··11··11··1··1···11··1·1··1··11111··111·1111·11·111·1··111···11·1·11··1·11···1·······1···1··1·111·11·1·11111··11··11······1·1·11111····1··111···1··1··11··1·11111··111111·1··1·1····1111··1···11··111111···111·11111·1·1·1111···111·1··11····11··1···1····1······11·1···11·111··1·1·1··1··1··111·1··1·1··1···1·11·111···111······1··1···11···111·1··1·1··1·1·1·11··1···1·1·1·1·1·······111·1···11·11·1·····1··1·1·······111·11····1·11·1·1·11·1···1111····111··1···11···1·11··111··11·1··1111111·11·11·111·1··1··1··1111···11·11111·11··1··1·1·1···11··111·111·11·1····111····111··1·1·1111·111111111·11·111···1111·1·1·111·11····1···11111·1·11······1·11·1···11111·1··11·1·1·11·1···1········1···1····111···1·1·1····1··11····1111··11·1··1·1····1·11·1·1···11·1111·1·1·1··1·1·11····1···
out 61 (447)	·111·1·1111·11111111···1··1111111··111···1··1·11····1·1·1·111······1··11··1·1··11111·1··11··1···11···1··111·1·1·11··1··1·11··1··11111111····1111·111111·11··1111·11·1·1·11··11·1·1·1·1111···1·1·11·1··111···1·······1111111·111111·11····1···1·1··1····11·11·1····11111·111111·11····11·1·1·······1·11····11·11·11111·1111111·11·1··11111·11111···1·····11···1·1·1·111·1··11··111·11·1·····1··1·1·1111111··11··1·1·1·1·1·111111·1···1··11···111·1·····1··111111·······1·····1··11·111··111··1·111·1····111··11·1·111·11····1··1111·11111·1·1·111····1111·1··11·1······111111·····1·····11·11111···1·1·1·11·1··111····1·11··1·1·1·1·11·····1··111·1··111111·11···11·111·1·11·1···111·11·11··1···111···1······1·······11111·1·······111·1·····11··1·11·1··1·11·1···111··11·1·······11·1··1··1··1·11·1·111··1·11·11··11·1··11····11··1·1····1·11·1·11··111·1·1·1····11·1·1111·1·1·11···11·1···11111111·11·
out 62 (431)	1··1···1··1·1111··1·11·······1··1·1··111··11·1··1···1·11··11··111··1··11·11·111···11·1·111··11·1·11·1111·1···1·1111··1···1·111·11111·1·1··1··1111······111··11·1···1·1·1·11··1··111··11·111·11·11··1·1······11·111·1·11···1·1·1······111·11·1··1·1··1111···1···1111··11111·11···1····11·1··11·11·1·1··1·1·1···11·····1···1·11··1··111·1·11····11·111··11··1·1111···11·1·111111···1111·1·1·1··11···1·1·1···111·111·1···11··11·1····11··1·11··1·1111···1·1·1··11·1·1·1··1····11·11··1111·1··········1···1·1·11·111111·····111111···1111·11111·11····1·111·111·111··111111···1····11···1·1·1·1··1······1111111····1·1·11·11···11···111·1·····11·1·····1····1····11···1·111·11··1···1··11·1··1·1·1·1·11111···1111·1··11·1···1·1·1·111·111···1·11·11·11111111111··11·111···111·1······1··1·1······1··1··11·1·1111···1··1··111·1····111·1·111····111·1111··1····1111111····11···11··11·1·111·1··11····1·1··1·
out 63 (463)	1111·11111111·11·11·1·11····1111·1··1·1·1·111····11·1··1·111·11111···1·1·1····111·1111···111111····1·11··111·····1··1·111·1·1111·111···1··1··1··1111·1··1··11·11·111··1·11·11·1··111··111···1·1·1·1·111·1111····11·1111·1111·111··1·1·11111111111·111··1·1111··111·1·1··1···1·1·1··1·1···1111··1·1···11··1111·11····111···11·1·111··11··111·11·111···11·11···1·11···1···111·····1·11···111·11····1·11·1···11·111·1···1111111·111··11·1····1··11·11111····11·11·······111·······111····111·1111·11··11·1111·11·111··111·····1····111····1··11·1·11·1·1·11111··1···1····111·1·11····1···1··1111·1·1111·1111·1·11·1··111·11·1···11······1·1111·111··11·1·11··1··1·1··1·11·11·111·1·····1···1····111·11····1·1·11·····11111···1···1··111··11···11···11111·1·111···11·1····1··1·111·1·····1········111·111·1111·111111·11111111·1··111·11·1··1····1···11·1111111·11111111······1···111····11···11·1·11··1111
out 64 (447)	·1·11·1·111··1··11··11··111··1··1···1·1·111111·1···1·11·1·1····1··1·11··111·1111111··11·1··1·1111··1···1111··1·1·111··1111·1·11·1··11·11··111···11··1111··1··11··1··1·1·1·1·1·1··1··111····11111···1·1····111·······1·1·····11·11·1·1·1·1··11111··111····11········11·1·111··11·11·111··1···1111··111·1·11·······1·11111··1·1111··11·1···1·1·1111··1111····1111·111111······1111·····1·111··111111···11···11·11·1·11··111·1·11·11··1··11··1·11·1·1·111·1·1·111·1111·111111···1111·1·1·1··111·11·····111···1····1··1··1111·111····1··11····1·111·1··1···1·1·1···1······11····11···1···1·11··11111··1····1···11··1··111··1··1·1····111·111·1·1·111·111·1·1·········11··1····11111····11····1··1···111111···1·1·1·111··1111·1·111·1··1···1·1··1···1·····1·11·1111·1···1·111··1··11111·1111111·11·111·1·1·11··11··1··111·······1··11·111··11111·1111111·11··1·1·1·1··11·11···1··111111111111·1···1·1·11·11·
out 65 (439)	11··11··········1111··11····11·11·11111·111···1111·1·1·11111··1·····1·1·····11···1·1····1·1·11·111111··1·1··1·11111·1·1··111·111··11·11···11111·11111·11··1···111·111·1·······11····11·····11111111··1·1·111111····1·111··11···1·111···111·1··111·1111·1·····1···1·1·11·1·····1·1··1··1····11·····1··1····11·11···1·1····11·11··11···1111···1·11·1···11·1·11111·11·11··11····11···1·1·11····111·1··11·11···1111··1111··1111111····1··1·1111··111··1·1··1···1··1··1111··1··1··1··1···111···1··1111···11·1··1··1·111··1·1···11··11·1·111·11·11·111·1··11·11·11···1·1·11·······1·1····11··1111···11····1111·11··1·111··11·····11·11····1111·111·1·1···1·1····1···1····1111·1111··1·111··11·11··1·11·1·111··········111·11·1··11··1111·1·11·1·1···1111·11111·1111111·1··1···1111·1···1··1111·····1·1·····11··111··11····11·111·1·11·1····11·111111111·11·11·1·1·1111·············11·11··1·11·1·1·111111111·
out 66 (431)	·11·111·1·111·1·····111····1·111111··1····11···11··1·1111·111··1111·····111·1···11111···111····1··1··11·1·1111·11·····1··11·1······11·1111·11·111·1·1···1·111·11··11·1···1····111111···11··1··1··1····11··1···1···1·1·1····11·11··1··1··1··········1·1···11·11111······11·1111··11·1·1111···1·1·1·1111111·1111··11··1111···1···111······1·1·1···111····11111···1·11·11·····11······11111111111···11···1··1·111·····11·1·11··1··1····11·1111·1··11··11··11··1·1·······11·1··111·1···11·1·1···1111·11111·111··11··1111······1··111·1·11·11···111··1·111·11···111·1·1····111··111···11··1111·······1·111·1····11···1·1·111···1·······11····1··1····1·11·111·1··1·1·1·1·1·11····1···1··1·1··1·1·1·11··1··1111·1·11·1111·1··1··1·1111··1111··111·1·1111·111·1····111·111111·1111·11·11···1·1·1·111·1··1·11·1·1·1···111·1·1·111···1··1···1·111··111·1·11··11··1····1·····11111·1·111111·1··11111··1·····111··
out 67 (455)	··111······1·1·11··11···11·111·1···11·11·1···1·1·1·11·11111····1···1···11·1·1··1·1·11·1···11···1·1···1·1·111·11···1··11····111···1·111111····11··11·111···11··1·11··11·1·1···11·1111··1···1·11·111·11·11··1111·1·1·····1···111··11··1····111·11111····1·11····11··1·1·111·11·1111·1··11·111··1111···1·1·1··11···1111·11···1··11·11··1··1···1111·11·111·11·111··1111··11···1111·11111··1···11·11··11·1··1···1··1111·1·11·111111·111·11111·1·11·1···1····11·111·1·111·11···11111··1··1·1··11111·1··1···111·11·11···1·1111·11111·1··1··1·······11111··11···111··1·111111·····11··111·111··11·1111···1·1···111··1··11·11·11·1····1···1·1··111111···1·1··1·1····11·1·1·1·1·1111··111·11···11111111·11··1····1·11·11·1·····1···1111111··1··111··111·1·11··1111·1·111111·111·1111···1·1····111··1··1·111···1···111·11·1··111···11111···1·1··1·1···11······1·····1···111·11111·111·11·1·1·1·1·1·1··1····11··1··
out 68 (447)	11111·111···11111····11··1·11··1·······111·1·11·111···1·1··1·1·1···111····11·111·111······1·11··1·1·1··1·11·111··11··1·1111·111··1······11·1····1··11··1··1·1·1·11111···1·····1111111····11·1··1··1·1··111·1····111···1·11·11···1·111111·11·111·111····11·11·········11·111·11·1··1····11·1·11··111·1·111····11·11·111·1·11·111111··11·111·11111··1·1····11·1··11·11·1··1····11111·11111···1·111·1····111·1··1·1·1······111···11·1···11··11·1·1···11·1···111···1111·11·1111···11·1·111···1··1··111·11·11··1111·11111·1·1··1·1········1·11····1·111··11·111··11111···1··11·1····11··11111···1·111··1111111····1·······111·····111··11·111·1···1111·1···11·1···1··11··11·11·111·1···1···1111·1·11··1····11···11·1··1·11···111111·111·1·1·111·1·1··111·11·11·11··1·11·1·····11··111·11···1··1···11·111·11···1·····111·1····11·111·11·11·1·111·111·1·111·11····11··111·····11·1····1·111111·111····1·1111·1
out 69 (423)	11·11··1·11·1·111·······11····1··11·1·11·1·111·11··11··1···11··1·1·······1··1111·1·11·1·1·1······1·1·111··1··1·111·11·11··11··1·111·11··1·1·1···1·11···1···1··1··11·11111·1···1··111·11·1·1··1··11··1·1·1·11···11·11··1····1········1·1·11·1111··1·111·1··1·11·111···1·11······1··1·11·11···1···11·11·111···111···1·1111·1······11···1·1·111·1·1111·1111··1·1···1·····11··1·11111·1··1·1111·11··11·11··1··111····1··11·11·111111·1·111111··1·11·····1···1··11··111··1··111111·11·1111···111··1111·1·1111·1··1··1·1···1·1··1··1111·1·11···1·1····111··1·1·11111·1··1···11·1·····1··11··1··11···11·1··1·11·····1·11····11·1·······1·1·11····1····1·1·1·1·11··11······1··1·11·111···1·······111··111·······11·11···1111·111·1···11·1····1·11·111··11·11··1··111·1··11··1·11·11···1···11·1·1··11·11·1·1·1··1·1·111·1···1···11111·11···1·1111···1·11111···1···11·11··11·11·11···1·1···11·11·111·1··111·1·111
out 70 (423)	····1···111·1··1·111·1·1······11·11·11··1····1·1·1··111·····1····11····1··11··1··1·11···1··1·11·1·11·11·1·11··1·1··11111·1·1111·111····1··1··1·····1··11·11···1··111·11111·11··1·11···1·1·11····11·1··11111·11·11111111111······11·1····1·11·11·1·11····1···1·111·11·1111····1·····1·1·1111·······1111·111·11···111·1····1···111111···1·1·1···1···1·1·1·11·11·1·1·····111···1·11··11·····11·11·11·1···11111·1··1·1111·111·1··11111··1·11111········1········1·111·11111···1·11···1·····1·11·1111111··1··1·1111··1·111··11111·1·11·111·1··1·111···1111·1··1······1····1·111·1111··1·····1·11··1·1··1···111······11·1··1····1·11·11··1··11·1·1·1·11···1···11111·1·1111·11111···1···111·····111··1···11···1·1·1111···1·1111·111·1···11·11111·1······11111··111···111111···11·111·111·1···1···11·1··11··1··1·····1·1·1····1·11·1·11···1·111······1·1···1···1··11···1·11·1··1··11·1··11·11···11111·1··1··1·1
out 71 (399)	·1·1···1·1111111·1·1···1·1··11······1···1·····11·1··1·11··1······1··1···11·11···1111·1111···111111···1··11111···1·11··1··1···11·11·1·111·1111·····1·11111·····1·11··11·1··1·1111··11··1·111·········11·11··1··1··1·1·····11·111·····1·111··11·1·1···11······11·1·11·1··1·1···11··1··1···111·11·····1·1··1···1·1·1··111·111·11111111···11····1·11··1·111·1·11···1···1·1····1·111·······1·11111··11··1·1111·1·····1·11·1111·111···111······1··11·1···1111·11···11111····1111·11··11··111·1··11111111·11····11··11111·1··1·1········11111111···1··1··1111··1··111·1·111···1·····1·1···1·111····11···11·11··1···1··········1·1··········1··111·11····1···1··11····1·1··11·1111··1·111··1·11·1··1····11·1····1·11·111···111·····111··1111··1·1··11111·····1···11·1·1·1·1·1··11···111··1······1·11·111111·1··1·1·1·11·1···1·······1··1······1··1111111·1·1·1···11·····11·····1·1·1··1····11···1···1·111··1111
out 72 (455)	11··1···11·11··1···1·1·111··1··11··111·1·111····111·1···11··111·11·111111···111···1·111·1·111··111··11111···11111··11·1···111···1····1111··111·11·111·111·1··········1··1·1···1·11·1·1·11··1111111·1111··1·1·11·11·111····11·1·1··1·1··1111·11·11·11·11·1··11··111·11·11111·1111·11·1·1····1·11····1111·1··1·······11···111111·111···1111·11111··11···1·1·11·11111····11·1111·11···1·1·1··111·1111·1···1·1·11·1··1·1·1··1··111····1111··1·11·111··1·····1·11·111········11·1·1·11·1·11·1·1·111··11·11····111····11······111···1···11·1·11·111··1·11·111·11·1···1·11111··1·111···11111···111··11·111·111111·1···111···111···11···1······1·111·····1···11·····111··1111··1·1··111·····1··1111·1111·1·1·111······1···11··1··111·111······1····11···1111··11·111·1·1··111··1··1···11·1·1·1·1··1111·····1111111·11··11·11··111···11111·11·111·11·1···1·111111·1···111·1·1·111··1······1···1·1··11·····1·1111
out 73 (423)	11·11··1·11·1·····11111··1··11··11···1·1···1···11······1·1·1·11·1111·11····1··1111···1··1··11·1··1·11111·1·1111·1·11111···11·11111··1···1···11··11·1··1·····1·11······1··11·111·1····1·1··11111111······1111111··1·11·1··11111·1·1··1··11111·111··11·····1·1·11·11··11····111111·····11111···111····11·1···11·111··1···111111·1···11·1····1·11·····11·1····111··11111·1·1111····1·111·11···11·111··1·1···1··1···11·1···1·1·1······1··1·1·1·····1111·1111·1·1111·1···11··1·11··1·1······1·1·1···1····11··1···11····11···11·····11·111···1···1·11····11111·1···11·1·1111··1····1·1······1··11··11·11·111·1··11·1·1111·11111···1··11·1···1·111·1··1·1··1111·11··11··111·1··1·11·········1111·1·11··1·1········11···11·11111···11···1·1····111··111···111·111·1·1····1·1·····11····1·1111·11·111111111·1·1·····111···1··1111··1··1·1···1·11·111·11·1111··11···1·1·11·1····11111····11·1··11111·11·1··1·····
out 74 (439)	111·1···11·111·1···1·11111·1··11···111··11·1··1······11··1··1··11····11····111·1111··1·11·1·1·1·1······11·····1·1··1··1··1·111····1·1111···1··111·111·1111··1·11·1··11···11·11···1·1·11····1·1·11······11··1·1····1·1·11··111·11·11111·1··1··1···11·11·1·11·1···111···11·111···1··11·1·111·1·111··11111111·111·1·1··1·11·11··1111···1·11·1··1·11·1···11·11111·111·1··11···1···1··1··1····111·11·····1·111··1·1111·1·11·1·11·1·····11··111111·11··111·1··1111·11·····11·····1·1·1··11·11·1····11·11··111111···111··1·111·11·····11···1111···11··1···11··111·1····1·1···1···111·1111111····11···11··111··111···1·1·11····1111······111·111·11111111·1·1111·1···1·····1··1111·1·111··1·1·1·11··1·11····1111·······11··11··11···11··1·111·1··11·111·····1·1·1·1··11·11·111·1···111·1·1·1···11·1111·11···11·11····11·11·11111·1·11···1·111·11111·1·······11·1···1·11111···111·11····11···111·1···1·1·1····1·
out 75 (455)	·1····11111111·111··1·111···1·11111·1·11·1·····1···1111·1·1·11·11·111··11·1111·111111··1·11···1·11··11··111···1···11·1·11··1·1·1111·1·1··11111·1·11·1111·1··1···11·11··1111·1·1···11··1··11111·1··11··111···11·1111·1··1·1111·111··1····1·11·1···11··11·11111···1··111···11111·11···11111·1·111··1··11·1··1·1·111··1··1·1·111111·1·111·1··1·11111·11··1111·····1111·1···111···111··111·1·11·1···1·11·····1··111·····1··1111·1·111·····11·1·1111111111···1·1·1111··1··········1··1·1·1·11·1····1·1··1·11·1··1··111·111111····111·1·1·1111·111·1·····11111·1···111··11··111····1··111····1··11·11·1·11··11··1·1·····11·1····1·1111····11·1······111111····1····1······11··111··1··11·1··11·1······1···11·1·11···111·11··1···1·1·1111·1·11·····1·····11·111111··11·1111···11···1·111·1·1··11·11··1·1··11··11··111···1··11111·1111111··111··11··11111·1···111·111·1·1·11·1·1·11······1··1111··11····11····1
out 76 (447)	·111·1··1·11···11111·11·1··1·111·11·1·11·····11·11·111·1··1·11·1··11·1111·1····1·1111·1····1··1·11111·11·1111·11···1111111·1·····1··1··111···11·111·1111111··1··11·111·1·1···1····1·1·1111··11···11··11····1·1·····111··1111·1··1·1·1111···111·11··1·1··111·111·111111·1···1·1····1··11·1····1···1·111···111·11···1·1·11·11·····1·11111·111111··1··1·11··1·111·111··1··1·11111··11·1·1·1·11··1·······11·111··1····1111····11·11·11···1·1111··111111·1·1··1·········1·1·11111·1·1···1····1·1·1·11···1·1··1···1·1·1·1···1·11·11····1··1··11·11···11···1·111····111·11·11··11····111·1·1·11·111111··11···111··11··11·1·1··1·1·1111·1·····1·1·111·111·1·1··1·1·1111111·1··1···1111·1·1·1··1·····111·1111··11····111··11·111···11···1111··1·111··111·1·11·1·1·1··1···11···1·1·1···111·11111111···11··11·····11·11·1·1····11···1··11111·1··1··1111·1·1····1···11·11·1··1111·1··1···11·1·1··11··111··1····1·1·
out 77 (407)	····11·1···1·1·111·11··11··1·1·····11111111·1··1·11··1··1·111····1·1··1········11·····111···11·1·1···1····1··111·1111···1···111···1·11··1·11111·1····11···11·1········1·1···11··1·1··11111·111··11111·1··11····1··1··1··11··1·111·1·111··1·1··11··1··1·11·····1······11·1····111···1···1·1·11··111···1·11·111····1·1·1·11111·····1·11111·111··111111·111·11··111111··1··111···11·1··1·1111····1·11··111···11111·······1111·11··1··11····1····111··1···1·11·11··1····1·11·11·1··1··11111·1111111···11·····1·11··1···1···11··1·1··1111··11·····1·1·1·11··11·11·111··1·1··1·1···11·····1····11·1··1·11····1········1·····1···1···1·11·1·1·11··11·11·····1··11···11····11··1·1··111··11·1·1·11···1·1111··1····111111·11·111·1·1·11·1····111····11111·1··1·1····1··1····111···1·1···1···1·····1·11··1·1·1··1··11··1·····11·11111·111·1··11·1···1·11·1111··1··11··111······11·1111·1··1·111111·111·1·11···1·1
out 78 (479)	1·11111111··11·11111111··11111·1···11·1·1·111··111111····1·11·11···11·1··11111··1·1·1·111··11···11111·11·1·1·······11·1··1···1·1··111··1·1··1·11·····1111·111·1··1···111·11·1·····1·1··1·1·1111·····111111····1···11·1·11·111··111····1·1·111·1·1111··11111···11·1·····111·1·1·1··1·1111111·1111··111111·1···11·1·1····111·111111··1·111··1111··111·1·1·1·1·111··1··111·········1··11····11·11·11·1·11·11·1·1··1·1·1111·1··111····11··1·11·····1·1·11·11·11·1··111·11·111·11··1··1·1·1·1·11···11·1·····111··1111·1··11111·1·1····11·1···111·1···11·1··11·1·111··11·1·1111111····1·1··111··1111···11··111··11·11··11111·1·1·11····11·11·1·1·11111111·1·1····11·1······111·11··1··111·11····111·1··1·11·11·11···1···1·11·11111··1·1·1·11···1··11111·11111·1··11··11·111·1··111··11111·11·1··111·11·11···11···1·111····111111·····11··1····111····1111111·1111111·1···1···1111·1111·11··11111··11·1111··11
out 79 (431)	·111··1····11·11··111111··11···1·111··11·····1111·1·11·1·1·11·1···111·111·1·1·11··1··1····11··1··1·1·1··1·1··1·1···1···1··1··1··11······11····11········11·11111·11111··1·11···1·11111·1·111··1··11····11111·1··11··1··1··1·111··1·111··1·111·····1·11111··1·1··1·111111111·111··11·11··1·111·1····1····1·11·1··11·1··1·1···1·1····1·1··1111·11···1··1····1·111···11····11111·11·11·1·····1111·1·1·1111·111111111····1··1···1····1·1111··11·11·11·11·1··1··1·1···1·1··111·1111··1·1·11·11···11··111111·······1·1····1···11·11·····1··11···1·1·111···11·1·1··1·11·1···1··1·1···1···1111·11·11··111·1·11111··111111··1·1··1·111·11111·111·1111·1··11···1111·11······1111·1··11···1·1111···11·····1··1··11··11·11··1111·1··11·1·1··1··1··1···11·1··11·111····1·1····11·11·11·11·1·11··11·1···11····111111·1·1·····1·111···1··1·11···········11····1·111111··1111···11111···1111··1111··1·1····1··1····1··1
out 80 (471)	·111··11··11···11111·1···1···11·1··1·1···1·1·1·11111·1·11·11···1·11·11111···111·111·····1111·11···1111··1···11··1·1·1·1111·11····1·1111··111··11··1·111·11111··11······111·1····11··1····11·111·1······1·11··11·1·1111111··1···1·1·1····1··111···1·1···1·11·11····1111········111··11··1111·111··1··11·11111··1·····11·1··11··11··11···1··1···1···111111·1111111··1·1··11·1··1·11·11·111··11111····1·1·1··1·······111····1·11···11·111···1·11·1···111··1···1111111·1·····111···11··11111·1···1111··1·11·1111·1·1·11·1·11··1····111··11111·11···1·11··1··11·1111··1·11···11·1111···111·1111111·1111·1··11·1··1····11··11·1·1·11·11·111·1·111·1··1111·11·1111111··1111·1111·111111111······11·111·11·1··1·1111··1·1111·1·11··11·1111·11·1····1··1·1·11···1111··1·11··111·1111···1·11·111·1·111·1·11·11·11·11······1·1··111·11·1·111··111··11111·1·11······1·111·1·11·1·11·1·1·····1111···111111111····1··
out 81 (423)	1·1·····1·····1···1·1·······1·1··11·11···11·11··11·111··1···1111··1·11·1··11·1·1·111·1······11·1···1111···111····1····1111··111··1111··11·1·1···11····1··1·1111·111·1·11·····1·1·111··1··1····1111··1··1·1··1·1·111··1·····11····1··1··11····11··1·1·1·111·11111·1·1·11111·111·1··1·1······1·1·11·1···1·111···1111··11·1··1111·11····1111111111··1···1·····11··1····1·11·1·11·111·111·111··11··11·11····111111···1····11·1·11·11····1·111··1111··1·111111··1···1·1·1····111111111··11·11·11··1·1··111·11··1··1··1··11··11····1111···1111··········1·····11····11··1···111·1111··1··111111··1·········1··1···1··11·1···11···1····1···11·11·11····1·1··111··1··11···11··1·111·11···1·1111·1····111·1···111···1··1··1111·1111·111···111·····1···1111111111····11111··111·11·111··1··1···1···1111··1·111·····11··111·1·1··111····111···1··111···1·11·1·1····1··1·11··1··1·1111·11111·1···11·11··1111···1·1·
out 82 (431)	·1··11·11··11111111111···111·1·11·1··1·1·1·111··1··11·1·1···1·1···1·1····11···11·1··1·11111··11···111·1···1·11·11··11·······1·1···11····11····111·111······11·11··1111··1··1·11···1···1·1111···111··1··1··1·1·11·111··1·1··11··1·11·1···1111·1·1·11111···1·1··1·1·111·1···1··1·1··11···1·1·1··1····1·1·11··11·1·1·111···1······11·1··1·11·1·111·1·11111·11···11111··1·111··111··11···11···1·1·11····11·····1···1·11····111··11····1·111111111·1·1·1·····1111·1··1·1·1·1·1·1··1·1·11·1·1·1·111···1············111··1··1·1······1·11·1111111··11·1·····1111·1··1111111·1111·1··1·····1·111·······1111···111··11·11111··1··1··11··11···1·1··11·1·11111···111·111····11···1·1111·1······1111·1··1··1·1···1111···11··11·1·11·111··1·1·11·1····111···111·11··1·1·1·11······11··1·1··111·1·1·1·1··1·111···1···11·111·1·····11··1·1·11·1···11111·1·1··11··11·1111·11···1111·11111·1··11·11·1····111·1·1·11···11
out 83 (423)	···111·1······11···1·111·····11·1·111·1·1··1··1···1··11·111·1111·11·········11····1··11·11111··1·11111111·1·111·1··1··111··1111·111·111·11·1·1···1··1···111···111·1·1···1·····1·1··1··11··1111·······1···1··11·11·11·11···11·11···11··11··1·11·111···111·1···1·11·1·········1····11··111·····1·11111···1·11111·11·1·11··1·1···111····111·11···11··1··11·1··1·11·11·1·11·11·1·11·11···11···11···1·1··1·111·····11··1···1·········1·1·11·11·1···1·11····1·111··111·1·1··1··111··1·111··11··1··1·11111··1·1····1··1·11·11·1111·1··1·1·1111··111···1·····11····1111···1··11·1··1111··111·1·1··1··1·11·1·1·11·111·1·1·11··11······1··11···11·11·1·11··1··111··11···1·111··11····1·1111·1·11·1·11·11··1···11·1111···11··11111·1···1·····11·1·····1··1111··1····1·1·11····11111111·11··11111·1·1·1·····1··111·11·111····111···1·1111·11··1···1·111··1·11·1···1·11·1·····1·1······1·11111····111·1··1··1111111·
out 84 (423)	11···1·111··11··1·1·1·1···111·1·11·········11·11····11·11111·1····1··1·11111···1·1·1···111111·1·11·1··111·1··11··············11·····11·1··11·1·11··11··1·11·1···11·11·11111····1·1··11·11·····1·11·111·111··111··1···1111111·1·1·11··1···1111··1·11·1·11····1··11·11···1······1··1·1··11·11111·11·····1111···11111··1····111·1·1·1·1·1·········1111·11·1·11·1··111·1···1··1·1··1111···1···1·1111·11·1111·1··1··1··1111··111·11·1·11·11··11·11·111·1·11·11····11·111···1··1·11·1111·111·1···111·111·11···111·111···1·1··1····1··1·······1·1·····11·11·1····1·1·11····11·11·1··1·1···1···1··1··1111···11·1·1··1···1····1··1··1·1·11·····11·1·11·1·11·11·11·····11···1111·1·1······1··1··1·11··111111·1·····11·······1·1·11·11·11··1·11·11·1··1111··1·11··11···111·1·1·1··1···11···111111·1·111·111··1··········11·111·1···1·111···1·111··11·1·1···1··11·1111·11·1111·1111···111·1···1111·111···1·1··1··1·
out 85 (455)	1·1···1··1··1·1···1111·1···1·11··1·1·111·1·11111··1·1·111111·11··11111·1111·11·1··11·1·1·1·111111··1·1····11··1·11·11·1·1····111··11··1·11·1····1111·1111·1111·11111111······1···1··1··1·····1·1·11··1·11···1·11··11·1·······1·1·11·11·1·1111··1·1··1····1·11··111··11111····111111·111··1·1·111·1·1··1·1·11·1···1·1111···11··1·1·1·1···1··1·1···111·11·1·1111·111·11·11111·1···11··1·1··111·····1111···11·11111·1··1·1···111·1··11·11··1······1··111··11···11·1·11·1·1··1·····11··111111·11·1···11·1111·1··1··111111···11··1··1·1111···1111··11·1·1··11111111···11······1···11··11··111111111·1111··11···1·1···1·1·111··1···11···1·1·1····11·11·1··1··1·11··1··1··11·1111··11·1··111··1·11··1·1··1···1···11··1····1111·1··1·1·1·1··1··1·111····111·1·11··1··11·1··11111··11111·1··111111·····11··11····11·111··1·111111····11·1··1··11·1111·1·1·111111·1·1·11111·111·1··1··111·1····1·····1·11·1···11·
out 86 (439)	······1111·1·1··111·1···111111··111·1·111·11·····1·1·11·1··1·1·11·1·11··111·····1·111·111··111·1·11··1···111··111···11·····11····111111··1·111111··111··1111········11···11·1·1·111··111·1·11·1····11··11···111··1···11111·1·1111·11111··1····11······1··1·1·111···11···1·1····11··1···1111111·11····111·11··1····11·····11·1·1111·11·11···1·111··1·····11·····11·1··1···11··11···1··1·······1··1·111···1·11··11···1··1···11··11·····11···1··11111······11·11·1111·11·1·1·11·111····1·11··11··1111··1·····111·1·111·11·111·11·1·1·1·11·1·11··1·111·11·111·1··11··11·1111·1111···11·1·111···111··11·1··1··111·11··11······1·····1··1·1·1·11···1··111·11··11··1·11··11·1·1····1·1···1111111··1···111·1·11·11···1·1··1··1···1·1··11·11·1·11·1··111·11···1··1·111····1111··11·1··1··1111···11···11·111111·1111111··1··11·····11·11····1··1·1···1··111111·1··1·11··1·1111·11·11·1···1··1·1·111111·1··111·111
out 87 (439)	1·1·1··11·1·····1·1··11·····1·111··11·1·111···1·1···11···1111·11··1·11·1·····1·1··············11···1·1·1111·1111···1·11·11·11·1·1111····1···1···1·1·111·1·1·1111·1··1··11·11111·1····1····11·111··1····1··1·111·1··1··111111··111·1··1··1··1·1·11·1···11···11·1·1···1··1·11·111··11·11·1··1·11···1···111·1·1··11111·1···11·111····1·1···1111·11···11·11··1111111·1········1111·11··1·1····1·1··11·1·1·1111····111··1···1·11·1·1·111·11··1111·11··111·1·11·1·111····111··1·1111··111··1·1···1···1111····11··11·111·11····111·1·11···1111·1··1111111·1111··1·1·····11·111··1···11·11·11·11·1··1·111·1·1··1·1·1·····1·1··11·11···11·1·1·1·1····1·1······11111··1·11·1·1·······1111···1111·11····11·······111··1··11···11·11·1·1111111·1·111111··11·11·1·11······1··1······11·111·1·1·111··1·1··1·111·1111··1··11111··1111·1·11·1··11·1111·1···1·1··111·11·1111·1··1··1111111··1···11·····111·1·1·1·1·111··
out 88 (431)	···11·1·1···1·1···111·11··11··1·1··1·1··1111·11·111·1···111111····11··111··1·1·1·11111··11111·1··1··1···1··1111·111·11·1···1··11····1··1··1111···111··11·1··1111·11·1··111111·11····11·1111·1·1·1·1·11·1·1··11···1·1111·1·1·1·1·1···11111·1·1··1111·1··1····111·······1····11111··1111··1·1·1··1··11111····1·1111111·1·1···1·11·11··1···1111111·111·11··1···1·11······11···1·11·1·111·1·1·111···111··1···1·····1·11··1·1·1··1···1····1··111·1·1·1·11··11·11·11··111·11·11·1·····11··1··1·11····111··1···11···11··1·11··1··1·1·1·1····1··11·1····11·1·11·1·111·11··111·11·111·1···1····11··1···111···11·111····1··1·1··111·11·11·11··1111··11111·1····111···11·11···1·111····1···1······1·1·1·11·1·1111·····111·1111··11···1·11111···11··1·11111111··1··11·11··111··1·1··1······1·1··11·111···1111·1·····1·111·1·1··111·1···1111·1··11······1··111···1·1··1··11·1·1·····1······11··11·1·1·····111·1··1·1
out 89 (439)	11··1·1·1··11··11·11111·11·111111······1111111··1····11··1··1·····11·1··11·11··11··1··1111··11·1·11111111·1111·1··1·1··11········1··1111·111··1111··11·11·111····1111·1·1·1·11···1·1·1·11··11·1·1·111·11·1111··1·1··1··1·111111···1111···11····111111··1·1····1·1···1···111·1·1·11··11··11·1···1·····1·111·11····1·1·11111··11111·1111···11·1·1···········1···1111·1····11·····1·11·11···1···111·11111·11·1·111·111·1111···1·1··11·1···1·1·1·111·1···1··11·11········11111··1111··1·········11·1··1···1··1···111111····111·1·111·1··1·111·111·1·1··11····11··11·1·····11·1···1·11·111····1··1·11·11·111····1···1·111··11·11··1··11·11111··1·1···11····1·11·1·111·1····1·111··11··11·111·1·1·11··111··1··1·111·111··1111·····111··1·111·1······11··1·1···1·111111·1·1·111··111·1·1·····11····1··1··111··1111··1··1·1···111111··1·1·111··1····1111···11·1··11···1·11·111·1····11·111·1·1··1·11···11····1·
out 90 (447)	···11···111····111··1111··11·111·1·1·111···1····1·1·111···11·1·1·1··111··11·1111·111·1·1·····1·111·1·······11·1·1·11···11··11·····1···1·1···1··1···11111··11···1·1·11·111····11111·11·111·1··11111111··11111·1·11·11·1··1111··1·11····11··11·1·11·111·11·11···1···1·111111···1111·1·1··11·11·1111··11111·111·111111··11··111··11·1··11··1111······11····111··1··111·1··········11·1··11·1··1·11111···11····1··1··1·11·11·1·11·1··111·1·111·1·1····1··111·······1·11·1··11·······1111····1·1·111····1·11111111···11··111·111·11·1·111·11·11111·11·1··11·······1···11·····1·1···1·1··1····1··1111··1·11··11·1·1·1·1111·11····1·11·11111·······1·1111·1·111···1·11111·11···111111·1·11·111111·11··1·111····11·····1·1·11·1·111··111··11···111··11·····11·111···1·1111···11····1··1·11·1··1·1·1··11·1·1······11···1··11···1·1···11111·11··11···11·111·1···1·11·11···1111·1·11·1·11·111···1111··1··1·11·11··
out 91 (447)	1···1····111··1·111···1···1··1···1111···11··1··1··1·11··11·11···11·11·1···1···1·1··1··111··11111·1···1··1·1··1111·1··1····111··1111·111·111·1···1···1·11·····111·1111·1···1·1·11111·11·11··11·11·1···1·11·11·11111···1111·1···11·····1··1···1111·1···1·1·111·1111·1··1·111·11·1111·1111···11·1··1··111··1··1····11·1111·1·111·1·111···1111·111··1·····1·111111····1111·1···1111··11···11·1··1···1·1·11··1··1···1·111·1···111111·1··11·11·1111111·1·11111·1··11···1·11··11··11111·1··11····111·1···11111111··11···11··········11·11··1·11·1··1·1·11··1·1····11·1··1····11·11·1·1·11·11··11······111··11··1··11·1·1·1·1111·······11111111···11·111111···11···11·······1·111····11··1·11111···111111·11······11··1··11·11·1·11··1·11·111···1111··1·1·······11···1··111·11···1·11·1··111··111111111·1·11·11·111·11·11····1111··11······11··1·11·1·1111······1··1···11···1111··11··1111·1·1·1·1·11···1··11·1
out 92 (423)	1··1·1··1····11··111·1·1·1·1·1···11··111··111··1111·1111·1·1·1···1·111·1··11111·11·1··11·11··11··1···1····11·····11··11·11···1·1·1···11·1·11·····11··1·11111111···1111·11··11···11·1·····1··1·111···11·····1··1·1··1·1·1·1··11···1·1·1··111···1·1··1·1·11··1111···11·111··11···11·······1···1·1·1···111···11····1·1······1111·1·111·1·1·1111··1······1····1·1·1·1·1111·11·1·11111·1·1··1111·11·1·111·11111·····1·11111··111····111···1··11····1···1····1··1·1111······1111·11···1·······11·1111···1111111111·1··1111··1·1·1·1·1111··11111···1···1···11··1··1·1·111·1111·1···111···111··1···11·1111·11····11·11·····11·1111·111··1·11····11···11···111··111····1·11··1·1·1··11·1···1···111··111··1·1········11·1·1··1111·11··1······1·1···1111·····1·11······11···111·1··1·1·····1··11··1··111·11·111·11·1·1··11·1·11111·1·1111····11·11···11·····111111···11····1··11111·111·11·1···111·····1·111·1···1
out 93 (455)	111··1·1·1·11···11·11111·11···111···1·111···11··1·111····11··1···1····1·11··1111·11··1·1111··111···1··1····11···11··11·1111·111·11·11·1··1····1·1111·····1111······1111111·1·····11·11·1·1·1111··11·1·11··111·1·11·1·11····11·11··11····1·1·1··111·111·1··11·111111111111·11·1111·1111·1··1·11·1·11111·111111111111····1····1···1··1··1·11··1··11·1·11·1···111111··111111···1·1·1·1·1·1···111··1·1·11·11·1·1····11···1·11111·11····11·11111111·1·1111111·11·111·1··11···1·111111111··1·111···111·1·1·····1··1··111111···11··1111···11111·1··1······11···11·1·1···111·1···1··11·····1··1111·1·1·11·111··1··1·111·11··1··1·111··1·1·······11·······111·1·11·1·11····11···11·1·111·1··11·1···1·11111·1·1···11······1·1·1···1··1··11··11··11···11··1····11·1··1···11111111·111·1·111·1·11···1·111·1····1111··1·111·111111·····111111··1··1·111·········11···11·····1·1····1·1·111···111·111·······1··111·11
out 94 (431)	···1·1·111···1··1··11·111····11111··1111·1·····1··1·1111···1·11111·1·1·11·11··1··11·1·1·11····1··1···11·1·11···111··111·1··1·1·1··1··111··11··11·····11·11··1··11····1··1··1·1···1111··11111··1···1111·1··1111·1·11···1·1·····11····111111··1·1·111·1·11·1·1·11··111··111·1······1111···11·11111111·1····111··1111···1·1·1···11·1·11····1·1··1·111··1·1·11·1····111·111·1111·11·1·1111·1111·11·····1···1·1·11··11·1···1··11·11·111·111···11·11··1··11···1··11···1·1··1111·11111·1·········1·1··1··1··1··11···1·····11·111·1·11·1·1·1··111·····111·1···1······1·1·1·1·1·1··1·11·1·1·1111·111·1·1···11111··1·1·1·1··1·11·11··1·11··111·1·1··11·1·1111·1·1111··1·1······1111·111··11·····1·1···11·11······11111··11·1·111·11·1·1·1111····1·1111··111·1···111······111··11111·1·····1··1·1·1·1·1·····1·11··11··11·1·1··1····1··1·1··1·11··1·1·1111··11···1···1·111111··1····1··11·1·11·····1·1111·1····111·
out 95 (439)	1·11111111·11·1·111··1·1·1··11·1···1·1111111··1·1··1···111··1·1111·1·1····1·1111111···1·1·11·11111·1···11·1·111111·11·1·1···1·111···1·111·1······1·11·11·11·11··11·1·····11···1·1··1111·····1··111·1111···1·1·11111111·1·11··1··11111···1·1·1·11111···11··11····1·1·1··1·1·11·1···11·1··1111··11·111·····11·11·11·11··1··11·1···1·1111·1111·111·1·1···1·1··1·1···1····111····1·11···1·1·1·11·11··111·1·1·1··11·1·····1··111····111··11·1··11·1···11·1·····111111···1111·1·1··111···11···1····11111111···11·11·1·1·1··1·11·1···11·1··11·11111··1····1·111····11111··1·11111···11··1·11·111·11··1·11·····111····1·11···111·111············1111·1·11···1······1·1·1111····1·11··1···1·1·1·1··1·1···111·111·····1·1·1·1······1···111···11111··1·1···11·1···111·1·1·1··1·11·1·······1·····1·1·1·1·111····11111·111··11··1·1111·11111··1··111····11·1·1·1·1··11···11111····11111··111··1·1··111·1···1··11···1
out 96 (439)	1·1··11111·····11···1··11·111·111111··1··11······11111··1·1··1··11·11·11·······1111·111··11·11·1·11·····1··1···11·11·1·········11111·1·1·111·11···1··11·11·1·11····111····1·11··11·111···111·······1··1·11·1··11··111··111···11·1···11111·11·1··11···111····11·1·11······1··11111·1·11·1·11··1·1··1·1··111·1·11··1·11·1·11·······1·1111·1·11·111111111····1····1·11·1111111·····1·1··1·1111111···11·11·11·1··1·1·11·1··1·11··111·11·1··1·111111·11111···11··111·1····1·11·1··11··11·1·1··11·1·1·1···1··1·1··1··1·1·11111···1·11··1··1···111·1·1·1···1··1·11·1··1··1·1·1111··11·1···1·11·11·1111····11··1·1111·1··1··1·1·1··1·1111··1111·1·11····1··11·1111·1·111·1·1··11111··11111111····11·111····111·111···1·1·1111·····1·11····111··111··1····1···1·111111·11·1··11·1····11·1··1······1·11········111···111111·1··11·111·11·1···1·1·1·11·····11·11····11··1·11··111······1·111······111··1···111·11·
out 97 (431)	·11·1111··111·1····1··1·1·111··1·11·1·11·111····1··1····1111···1·11·1···1·11····1111··11·1·1111···11·1······111·1·1111·1111·1··111·····11··11·111·1·1111··1·1··1·11·11·1·11·····1·1·11··1···1···11··········1·111·1·11··1··1·1··1·1···1·1·······1···1·1111·······11·11··1·1···1111·111···11·11·1····1···1····1·1··11···11·1·111111·1···111111········111·11·1···1···1·1··111·11·111·11··1···1·1·1111······11·11·11···111·1······11111·1····11····11···1·111111···1·1·111···1111·111·1·11·11··1·111···11······1····1··11111·11·11···11·1·11111·11111·111··11111·11··1·1·11·1···1111·111···11111·1·1·1···1··1···1·111···1·111··1·1·····111111··111·1111·111··1·11·11·····1··11·1·····11··111··11·1·1·1·1··11·1·1··1·11·1··11·11···1····1···1111·1···111111···11·11·111··1··1··1····11·11···11·11·1·11·1··1···111·····11···111·111···1··1·1·1···11·1··11··1·1·1···11·11··1···1111·1····1·111111111··1111··
out 98 (447)	·11··1111··1·1···1··111111·11·1···1···1·1·11··1·1·1·11·11·1····111·····111·1·1····111··1···1·1··1·1111····1···1··11·1111111·1·1111····1····1111···11··111·1··11····111··1·1·111·1··1···1111··111·1·1·1··11·······1·1···11111···11···1···111··111···111··11···1111·1·11·1·111·11····11111111···1··1·1···11·11·11·1··111·11·11··1·11111···1·1·1111·1·1·111·11·····1··11······1·111···111·1·1··1···11·11·111·11···11·1·1··11·11111·11·11·11·····1··11···111·111··1···111··11·11111·11···1·····1111·1·1·1·1111·11····1····111·1·11··1·111···11·1·1111·1······11···1111·111·1111··1·11····1111·11··1·11··1111·111·1·1111·1·1·1·1111··1·111·····1····1·1·11····111··1·11··111·11·11··1·1·11·111·11···1··11·1·11·1111111··1·1··1··1·11·1111·1···1·1·11··1··11···111·1·11··1·111111··1··1··1·1··1···11···1111111·1····1···111111··11···11····1··1·1·1··1·11·111······1···111··1··1111··11·1·1······1·11··1·1·1·
out 99 (439)	···1111···11·11·1··11111111···1···1111·1·1···1·111·11··11111111···1··11·1·1····111·1·11·111···11111··11·1111··1···1····1·1111·11··········11111··111111··1·1···1···11·····111··1···1···1·1··11111·1·11·11·1·11·1·1·1·111··1··1··1····1·11·1·1111111111···1·11···1·1···111·1111···1·11·11··11··1··11····1111··1····1·1··11·11·11·1·11·1·······11···1·111···1111··1·1····11···1··1···1·1·1·1111·1·111·11··1·11·11·····11··1·1···1··1111111····1·1··111·111··1·11··1···1111··1··1·111···11··1111·1111·11··11·1111111111··1111·1··11··1111··111···11·1····1··1··1·111···1111·11··11·111·1·1111·1111·····1···1·····11·11···1·1···111·1111···1·11·11·11··11·1···1··11111···1··1··1···1··11111·11··11·11··1·111111·····111··1···1·11111·111111·11·1··1·······1111·111···1····11··1·11·11··111··1·11·1··11······1111·1··1·11···1·1111·1·····11·········1·1····1·1········11···1·11··11·1···1····111·1··11·1·11·
out 100 (439)	111····1·····11·1··1·1·111·11··1·111··1111···11·11·11··1111··1··1··1····1···11··11·1·1···1··1·11··1··1·····1··111·1···1··1·1··11·11····1····1·····1··11·1·1·11111·11·····1·111111·11·1111··111·1111··1···1·1·1····1··111···11··11··1·111·1··1··1··11111·1·1·1··1·111··11111·11·1·1···11·11···1··1·11111·1·1·11·1·111··111···1·1··1····11···111·111111111··11111·1111···1111·11·······1111·11··1·1···11····111··1·111·1·11··11··1111·1····111··111··111111·1··11·11·1····1····111··1····1111·1··1·1·1111··1·1····111·1111····1·11··1·111·1·11·111···111··111111·1·1··1···11···1·11······11··11·1··1···1·1·11·11·11···1··1·1··111111111·····1··1·1···1·1··111··111··1·1··11·····1111·1·1·111··1111··1····1···1···11··1····1·1111··1·1··1···1111·1···1·11·1··1·1111··1·11·11··11···1··1····11···11·11·11···11····1··1·1111·111··1······1111111·111111·1111·1···111·1···11111···1·11·11···11···1··1·1··111·
out 101 (447)	11···1·····11·1···11111·1····11··1··111·11·111·11···11·1··1···1·11··11·11111·11·1111·1····1···1···11··11·1··1·1·1···1··11·1·11···1·1·1·····11111··1···111·1111111·1···111111·1··1·11··111·11····1·11·1···111··11··111·11·1·1111··11··111·1····11···1··11··1111·1··11·1·111·1·1111·1··1·111·11111111··111·11111·1·1111111···111·1·11·11······1····1··1·1·111··11····1··111·······1·1··1·1···1··1·1·····1···111····1·11···1··111··11111···11··11·1·111··11·111·11·1··1··1·1·····1··1·1·11111·11·1····1·1··11·11····1··1·1·1·1··1··11···11111·1·111··11·111···111····1111111·11··11·11···11·111·1···11·1·11·1·111·····1·1·11·····111·1··1·1·1·11111·11·······111·11·1··11111111···111·111··1·1·1·11···111·1··1111···111····1··1····1··1······1··1·1·111······111111·111111·111··1··111·11···11111·1·1·111·1··111·1111·1·11·1····11····111·1··1·11·11····1··11··11··1·111··11·1·····1111·111··11·1·11······
out 102 (431)	··1··1··1···111····11···11·1·1·····11·11···1·11111·11····111·1·111·11111·1·11··11···1··11···1111111·1·1·1111·111·1·11·1···1··1···1···1··1··111··1111··········1111·11·11111···1·111·11·1··1··1·1··1··11·········111··11·1·11·····111·11·1·11·1··1····111111···11···1·1111·1···111111·1·1··1·1·······11·11·11·11···11···111·1···1···11·1·1·····11·····1···11··11·········1111·1111·1·111·111·111·11···1111·1··111··11·······11·1·1·11····11··1·1···1·1·11·1··11·1···11··11111111··1111··11·11111·1·11111··1····11·111··111·1111···1·1·11·1111····1·1·1111··1·11··1·11·1111·111·1·····111·11·1··11·1·1·1···111···1··1··1111··1·111·1··11··1······················1···11111·11··111111··1··1·1·····1·1·11·1·111·1111·1·111··1·111111·11·1······1··1···1··1·1···1···11·····1111·1·1·····11·1·1·11··1···111··1111111··1·1··11·1·1··111······11··111·1·1·1··1···1·1·1111·111111·1111·11·111····11·····1111···
out 103 (439)	111··11·1·1··1··111·11111··1111·····1··1·11····1·····111·1··1·111·111········1···1··111···11········1···111·11111111··1·11··11··1111·1···111··11··11·1111··1·111·11··1·1·1·1·1111·····11·11111··1·11·1·····11···1·1···11····1·····1·11··11··1·111·11·11111··11·1·1111·11··1····1···1111·1·1··11······11··111·111·11·111···11·1·····11·1111···1111···111···1·1·11111111111·1111·1111·1··1····1··1·1·1·111·1··1····1·11····11·1··111···1·11···111··11·1··1111·111111111·11·11·111·1··11·11··1··11··111·1··11·11···1··11111···1111··1·1·111···1·11111·······1·1···1·111111····11·11·1·111··111111·1··1··11··1··1·····1111··11····1·1····111·11111·1·1··11·111·1·111·······11·1·1··1·11·1·111·11·····111···1··11···1··11···1·111····1··111·11·11····1·1·····11·1···1·····11·111···1·111·11·1·1·11·1···11·1···111·1·1·11·1·111·····1·1·····1··1111111····11··11·11······1···111·111111·1··11···1·1···11··1··
out 104 (439)	11··11111·1··11······1·111···11·1····1·1·1··1·1····111·1····1·1111·11··1·11·1·1··1··1·1·1·1·1·1111····11·11·1111···1·1···1····1·1···1111·111···1·1·11···1111111·1·····11·11·1··1····1111···1··111·1·1··1·1··1···1·1···111111·1···11·1111···111·1··11·····111····1···111·1··11·11111···11·11·111·111····111·1··1··1·11··1·111·1·11111··1·11··11·1111·····111·1··1·111···1···1··1111··11·11······1·111······11·11··11····11·····1·11·1··1111··1··1··1··1111·1··1···1111··1·1··11111·111111·11·1··1··11··11·11·11··1·11·1·11·11·11·1111·1111······1··1·111·1·1·1111·11·····111·11·1·1·····11·11··11·1·1·1···11111·1111··1·1···1··1111·111·11··1··1··1·1···1··1·····1··111···1111·111·1·1··1····1·111111··1·111··1·111···11···111·1·····11·11·1111··········11···11··111··1111·····1·1·11·1·111·11111·····11·······1·111····11111·11····1··111·1·111111·111·1····11··1·1111·11·1··11·111·1·1·1·11········11
out 105 (455)	1··11111·1·11·1··1·1·1·1·11·····1·111··1··1111···11·11··11111····1··11111··1111·11·1·11···1·11·1··111···1·1111111111··111111···1111·1111·····11·1·1111··11·11·1·1·11·1·11····111··1·1·11··1·111·11·11·11·11·11··111·1····11·1·11··11·1····1·111111·1·111·1··1···1···111111··111··1·1···1···1·1·····11·1·1··11····11111·1·1··1··1·11·1·····1···11···111··1111·11··1·1···1···1111·1···1111··11···1·1·1·1··1111·1·11·111111··1111····1·1·11·11·1·11········1111·11·····1·1··1·1···1···1·····1·1·11·····1·1·1·11··11··1·1111·11··1··111··1·1···1·1·11·11···11·1··111111111····11·1111·····1·1·1·111··11·1·11··1·1·111·11·1··1···1·11111······11·1·1··111111··11111111·11··11····11··1·11··1··1···1·111111···111··11·1111·11111·11··111····11··1·····1···11111·111111·1··1111··111··1·111111·····1·1·1·111·1·111·····11·····1····1··11·11··1···111111111··1·111············1·1·11···11··11·1111··1··111·11··
out 106 (455)	·1·11111111·1·11···1···111··11·111·111···1111·····1·111···1·1·1·1·1···1···111·1···1·1·111···1··1·1·11·11·111··111111·111··11·11··111··111·11··1111··111··1·1··11·1···1·1·111··1··1·1111111·11··1·1····11···111·1··1·1111111·1·1111·1111··1·11·11·11··1···1··11·1·1·1·11·1111·····1··11·1·11···11·11·1·111111··11·11·1··1····11··111111·1····1··1··1·1·111··1··11···11111·11·······111·1·······1··11··11·1···1·1···1111··1··1··1··11111·11···1·1·1·111·····1·1·1·1···1··1·111·1·11111·1111··11·1·1··1·111·1····1·111·1111·1·1·1·11111·1111·1·1·····111····111·1···111········1·1·1····1·1·1·11·11·11···1·1·1111··1·1···11··1111·11··11··11111·1····11·1··111····1··1·11·1··11111··111·1··11··11···111··1···1·······1··111·11·111111·1111·111111······11111··1·111111·1·1·······111·1··11·111···11···1···········1·1··11·1··11·1··1··1···111··111·1·1·11·1·111··1·11111··1111··11·1·11·1111·11··1··1·1·11
out 107 (431)	·11·111·1·1·1·····11··1··11···111····1···1·1·111·1··111111··1111···11111··11·1··11···11111··1·1·1···1·····111···11·11·1·1···11·1··11··111·1···1···11··1·11··1·······11·1···1111111·11··1··11··1·11··1111·1111·1·11111··1111111·111······1··1111·11·1·1·1·1·1···11··1·111·1·1·1111·111·1··11···1··1··1·1··1··11··111·1····1··11·1···1··11·11·11·1···1111··111·11·11··1·1111·111·11111·····1·11·111·····1·11·11·1·····1···11··1·11·1··11·111·11··1···111·1·1··1··111·11··1·111·111··11··11···11111···1··111·······111·111···1··1·11·111·11··11··11·11····1······1·····11··1·1·11····11·1·1·····1··1··1·1····11111·11··1··111·····11·1111·1··1··1111·1111····11·11111··1··1·1··1···1·11···1··11··11111111·1·11·1··11···1·11··1·1····11·1··11·1·111·1111··111··11·1··11··11·11···1·1··1····11·1·11··11··1·11···1·····1·111·1·1··1······11111···1······1·11···111····1··1111·1···111···11111·1·····1·1·1·1··
out 108 (423)	1·11·1··1··111··11···1·1··1·111·1····111·111·11·1··111··11··1····1····1··11·1·1····1·111········1·1·11·1·1········1··111·11···11·····111·11·1··1111····11·1··11111111··11111··11·1····1·1··11·1·······11···11·1··11·111···111·11····1···111·11··1··11·1···1···11····1·11··11·1·1·111·11·····111··11·111·11··111·11·1···11······1·····1·1···111···11····111·1·······11·11··111111··1·11·111·1·1··11··11·11···1··111··11···11··11·1·1·111111·1111···1··11····1·11····1···1·11·11··········1·1·1·11·111·1·111··1·111111··1·····11·1·111111··11111·1·1··1··1111···1·11·11····111·1··1·1·111·111··111111·11·1·1···11··1·1······111··1···111··1·1·111·1111·11···1·111·1·1··1··1111·111····11·1·111·11··11··11·1·1···1·11111··1·1·1·1·111···111·11··1·1111·1·1·1··1·······1·111···1··1···1···1·11·11···1111··1·1····11···1··1···1··111·······1··1·111··111···111·1··1··1·1··1··11·1111····11·11·111···1·11··11
out 109 (439)	·1···1·1·1·1··1·11·111111·1·1111··11··1·11···11··1·1·1·1·1··1··1···1·····11111···111··11··11·11·1111··11·1··1·····11·1····111···1·1·111··1·1·1·····1··1·····11·1··1··1·1···11·1·1·1··111111·1·1··111·111····11···1··1·····111·······1····111······1111··11···1111·1111··11···11··11···11··1·111·1······1111··1··1·11·11·1·1·1·1·11·1·11111·1··11111···1···1·1·111111111·111111··1·1···1··1·1·111·1··1·····1·1·1·····1111···11·1·11··1·11·····1··1111·1·1·11111·1·111·1·1111··1····1·111111·1·111··1111··1111·1111··1·11···1·11·11111·11·1·1·1·1·11·11111·1····11·1·111·11·11111111·1·1·····1·1111·1··11···1···1·1111··1··11·111·····1·1·111···11·······11··1·1···11·1·1···1·111·1··11·1·1··1····111·11··1·111111··11···1·1111··1·1·1········1·11·11111··1·1·111··1·1111·1·····1·1··11··11····1····111··11·1·111·11····1111·1111·1·1·1····111·11··111·······1·11·1··1111·11····11··11····1·111··1111····
out 110 (455)	111··1···1··1·11····1111··11·111·1··11·11···1··1111·11111··11··1111···11··1····1·1··1·11·1···1···11···11·11···11·1111·1·1·······1···1··11·11·····1·1111··11·1·1··1···1·1··1···1·1···11·1···1·1·1111···11·11····1·1·1···1·1111··11··11·····1·111·1·1111··1111····1··1······11··1···111111··11·1·1111·11·1··1·1·1·11·1·····111·1·1··11·1·1·11·111·111111····1···11···111·1·1··1·11·1111111···1·111··1·11··1·1··1······1·1·11·1111·1··11···1·1···1·1··1111··1·11···111·1·11·111111111·1···1111·1···1·11·1····111··1·1·1·1·111·1··1·11·11·1·1111·11···111·11·111·1111·11·11111··111··1·1··1·1··111·11·1·······11·11·1111·11·····111·11·1·1111·1111···1··1·1·····11··111·1111·····11··1·111·1····111·111111111111··1·1··1·1111·1111·1111··1·1111·1··111··111·1··1·11·1·1··1111111·1······11··11·1·1·1·1·····11·11·1··1···11···1·1·1111·1··111······11··11·1···1···1111111·111··11··111·1··11·1·1··11···1·111
out 111 (415)	1111111··11··111··1··1·1··1·1·111····11·11··1·1111·1·····1··111·1·11···1·111··111·1·1···111·11··111·11··1··1···11··1·1111111··1111·11·111··1·····1····1·11·····111·11111111··11··1··11········111··1··1····111·11·1111·1··11··1111·1·11···11·1111··1·····1·11·11·1··1····111··11111··11···1···1··11···1··1·11·1··1·1···1·1·······1·····11··1····1·1111··11····11·1·111111····1·1·1·1·1···11··111·11····1·1·1····1·1·1······1·1···11··11111·····11·11···111···1·11·1··1··1··1·····1··11··1·11·1·1111···111··1·111··1·1·1·1··1······1···1·111··111·11··111·····1·11·1······1111·1··1·1·111·111··111·11··1·1·1·111··11·11·1·1111···111·111··1··1·1·1·1·1·11·111·1··1·1··1·····11··11··11··1··11···1······11·11111·1111···11·11·1·1···11·1··1·11·1·11··1·1·1····1·11·1·1··11·1··11·····11·11··11·11·11·1··1·1·1·1······1·111·1·1···1··1111···1·11·1·1111·1·1···1··1···111···1·······1···1·111·1··1····1·11·
out 112 (423)	1·11111···11········1··1···1111····1·1·1··11·····1··1111··11·1·1·111··1·····1··1···11··1··1···1··1··11······1···1·1··11·1·1·11·11·1····11·1··1·11·11111·1··1·····11·1·11·1·11·1··1····1·1··1·11··1·1·111··1·1·1·11·····11·1·1··1··1····1···1··1··111·····11·1··11·1··11··111·1·····1···111·1111···1·1·11··11·1·1···1··1111111··1·1111·1···111·1·····1·11111·1·1·1··1··1····11·11·11·11···1·1·11··11111·11·1··11111·111111··11·11··11·1··1·····11··11··1···1·····11····11·1··111···1111··1111··1··11111·········1··11··1··11···11·11·1·1·111···1·11··11111111·1··1··1·1·11·11···1·11111111·111·111·1·11·1·1···1·11·1·11···1·111·····1·11·1···1·1·1·111···1·1·········1··111·1·1··1·1···1··111·1··11·111111·1·1·1·1111··1·11111·····11·11··1··1111·11·1·1·1·1······11111111·11··1111··1·11·11111··111·1····11·1·111·1111·1·1·····1···111·1··111·············111··1··1··11111·11·1·1···11···1111·11··1··1·
out 113 (447)	····11111··11·1·11·11·111·11111···1·1····11111111···1·1111·111·11·1111·1111··11····1·1·1·····1111·1····11··1·1·1111·······1·11·1·1··111·1···1·····1··1·11·111·111···1111·1···1111····111····1·1111·1··111·111·11····11·111·1·11·11·1·1·11··11111··1···11···1·1·11··11··1··1··1··1·1·11·111···1··1··1··1·11·111··1·11·11111·1·11111··1··········11······11111111····11··1··1··1···11111·1·1·11·1111·1··1····1··1·1·11·1···1·1·1·1·11····1·11····1111··1·1·11·111·11··1·1111·111·1·1·1·1··11··111···1·111·111·11·11··1·1····11··11·11··1·111·1·1··11··1·111····11·111·11·1·1111··1·····1·111··111·11··111····1111·11·11111·1·1·····11111·1·11·11·111··111·111·1·······11··11··11··1·11·1··1·1··111·1··11······1111····1111·11111··1·11·1····1111·11·1·111·1·1····1··1······11·····111···11·11111·1·····11····1·11·111·111·1···11111·1·1·1·1····11··1·1·1·1··11··1·1·1··1·1··1···111·1·1·1·1·1·1·1····11··
out 114 (455)	11·1··1·1111·1·11··1·1·1·111111111·1·······1·1····1·111···1·····1··1111··1··1····1···111·1··1··11·11···11···1···1·11·1·1·1·11·1··1·11·1··111·111···1·11··11·11···11·11·11··11111···111·1·1·111·······1··111··1·111·111111····11··1···111111·1111111···1·111111·1·11····1111····11·11·1···1·11111·1·········11·1·1·1111·11·1···1·1·1·····11·1·1····11···11··1111111·1·····1·1···1·11··11111·1111·11·111··1·11·1·11111·111111··1·11111··1111····111···1··1111····1·1·····11·11···1···111·1·1··1111·11···1·111·1·····1·11·11·11·1···111··1·1·111·11·1111111···111·111··111·11··111·11··11·····11··11·11111·1·11··11··111111··1··1···111··1···1111·1111111····1···1·11·111·1111··11··1··1·11·······1··1·11·111·1··1·1·11·1·1···1111··1····1111····1·1·1··1··1··1·1111··1·1·111111·11··1111··1·1·······1··1···1·1···11··1·1·1·····1··1·111·1·1·11··1··1111·11111······11·111·111··1··1··1111·1·1·11···111111
out 115 (447)	··1····1·1·111··1·1·1··11···111··1111····11···11···111··1····1··111·1···11·····1····11··111·1·1·111·····11·11····11···1·1··1···11··11·11111·11·11·····1··1·1····1··111·1···111·1·1·111··1·1·1·11·111·1···1··11····1·1·11···11··1·1··111·11··11·111·····1··11111··111·1111·1·1··1111·1·11···111111·11··111111······111·1···1·111111111··1·1···11111·11·11···111·111111·1··1···1·111·111···11·1··11·11···1·11111111·1··11111··11·111··111·1·11·1·1··111111·1··1···1111·11··11·1·11·1····1···1·1·····1·1·1·1·1·1·1····111111···11·1·1111111····11·11·11··11··1·11·1···11··11·1111··111·1···1111·1·111111··1·11·11·11···1··1·1·1·1111·1··111·········111111·111·11····1·1·1·11·11···111··1·11····1·11·1·1·11111········11······1···1·1····1111·1111··11···111111··111·1·1··1··111111········1·····1··1··1·1·1···11·11···11·1···1····1·1···11··11··1·111·11111·1··1·1··1·1·1··1·11·1111·111·111··1·1·1111···
out 116 (423)	·11···1···11111·111·11··1·11···111······1111·1111·1··11·······1··1·1·1···11·1···1···11···1····111··11··11·111···1111·11··11·111·····1··11····11··1111····11····11···11·1·111·1·11·11111111··111··11·11··1·1······111·1·1111111·11···1·1·1··1·111·····1······1···11··11111··1··1·1··1·1·111··111·11·1·1·1··1···1·111·1·1·11·1111111··1·11·1····1·11·1·11111········11·11·1·1·1·11··1··1··1···11···1··1·····1···11111······111·11111····111····1··1·1111111·11·1·····11··1···11·1··1····1·11··111·······1·1·1·1·1··1·1·11···1·1··11·11··111·1··11··1··1111·111111···11···1·111·11111·11·11··11111·111·1··1···1··1111·11··11···1·11··1111·1·1···11····1·······1·1·1111··1111·1·1···1·111111·1·111··11····1···111·1111·1·1··11···1·1···1·11·····11·1··11·1··1·11·11·111··1···1111··111···1··11··1··111······11·1·1111111·1·1··1··1······1·111·11·1····11111······11·111·1·····111····1··11··1···1····1·····
out 117 (423)	··11·1·1··1·1····11111·1·1·111·1···1··11·111·1·11·1·111··1111··11111····11···1··11·11·1·1111·11·1·····1·111·1···1··1···1·1111·1111·1·1··1111······1·1·1111···11·······11··1··11111111··1·1111···1···11111····1···111·1··1·1111·1·1·11·1·11111·1·····111····1····1···11··11···11·11111·11·111··1111··1·11·1··1···1··11·····11···1111·1·11··111···1··11·1111·111···11·······11111··1·1·11111·111···1111·1······1·1·1··11111····1··1···1···1········1···11····1·11·11····11··1·111·111··1·1·1··1····111·11·1·11·1··11·1··1·····111·11·11··1··111·1111·11·1····11······1····1··1··11111····111·1··1·1·····11·1·1···1·1···1·1·····1··1111·1···11·1·11·1····1····1······11·1·11·1·1··1····1111··11·11·1·1····11···111··1111··1··11·1·1·11···1····11·1·1·111·1·1·1···1·1111····11·1·····11·1·1···11·111·111···11·11·11·111··1···11·1·1···11111·11··1·1111··11·1·1····1·1111·111·1·1·1·1·11·1111·····1·1····11·
out 118 (439)	1····1·11··1111····11·1··11·1··1·11·11·1·111·1···11····111111···111·11··1··111111··1·1111···11·1·1··1·1··11·11·1·······1··111···11···1··1111·1111······111··1··1·1·111··111·11111·1·111·1111·1···11·1··11·1111·1·11·1···1··1·····1····1·1···1·11111··11·111··1111·1··1··11·11··1···1··1··1·······11·11·······1·····1·11111·········1···1···11··11··11·1······1·111·1·11·1··1··1·1111·1··111·1····111·1·1·1·11··11·111·111··1··1··11·····1·1·1111··111······1··111·1·1111·11···111·11·11·1·1·1··1·1··111··11·1·1111··1··11··111·11·1··111··1·1·1··1···11··11···1111·1·11··11··1··1······11··1··1··11···1·······111·11·1·11·11··111111···11·11·1···1·111111111··1111·1··1·1·111111111·111···11·1111·1···1·1·1·11111·1·11·111111··1··1··1·····11·1·1··1·1·111·1·1·1111·1·1·11·1··1···1·11··1·11····1·1111·1·······1··1··111···1·1·····1···11111·1·1·111··1·1111··1111·1·1·11·1··11···1·111··1111··1·1···11
out 119 (463)	1·1111111·1·1·11··1··1·1··11111·111····1·1111····1·111···1·1·111····1····11··1111··1·1·111·11·1··111·1·1···11··1·1111·111···1·111·1111··1··11··1···11··1··11·111··1·111111·11·1·1··1·1··1··11··1111·1·11·1·1············1··1·11·1111·111111·····1····1111·111111·····1·11111·1···11····11·1·1··1111···1111·11··1·111·1·1·1·1·1··1·1·1111···11··1111111··1·11·11··1·1·1····1·1·····1·111111·11··11111·1·1·1····1·1·111·111··1····111·111·111·1··1·1··1111···1·1··1111·11·1111·11···111··11··111····1·111·1·1··11111···11·1·1···1·11···11·1··1·11··1··1·1·1····1··11·11···11·1·1·11·1····11111···1··1111·1111111111····1···11···111·1····111·1111·1·····11·1····11···111111······11···11111····11···1·111·1111··1·111·1111··1·1··1··1·1···1111····1·111111····11·11··1·····1·1·1··111··111··1·11111···1···1·1111·111·1·11111·1·1··1·111111·1·111·1·1··111·111111··1·111·1·1···111·1··11·1··11···1····111·
out 120 (455)	1111····11··11··11··11··1··1·111111·11·1·1···1·1··1·11··111··1·1·1111·11··1·1·11··1··111·1111·111···1·1···11111111····1·····1·1·1···111·1··1··1··11111·1·11··111111·1···111··1···111··1·1····1·1·11·11111··1··11·1·1·11·111··111111·····1111··1·11·1···11111·11111··111··1·11·11111·····1··11·11111·1···1111·······11·1·11·111····111·1111···1··1··1···1·11·11111·1··1111·1·111·1·11111··1·11······11·11111·1····111··1··11··1·····11···1··11·111·11·1··············1·1···1·1···1····1111··11·1··1·1·11··11····1111·11·1111··1···1111··1···1·1····1111·1·1····1··1·1·1·1111·1·1·1·1·11·11··111·1··11·1··1···11·1111··1111111·11·1··11··11·1111···········1111111···1·1··1111···11·11·1··1·1··11·11··111·1·11·1···111·11·····1111···1·11·1····1111··1·111··111···1·111·1·1····11·1·1··1111111··111··11·1·111·11·1·1·1111···1··1·1···11111·1··1111···11··11··1·····1111···1111··1·11111·1·111·1·1···1·1··
out 121 (463)	11·1····1·1·1···111······1·1·1·11··111·1·111·1111·1·1111··1·11·11·1111··11··11111·1·1····11··1·1·1··1·111··11·1····1·1111·1·1111111·11·11···1·11···11111·11111·111111·11··1111·1···111111·1·1··1··1·11·····11··111·1······111···11·111111··1111···1111···11·111·11·1··1·1111·1111·1··11·11·1······1··1··1···11··111111·····11·1·1··1··1··1111·1·1··1·1··11····1111·1·11·1··11111·11····11··11··111··1·1111····1·11·1·11···1··111··11···11111·1···1······111111·1·11111·1·1··11·1·1·1··11·111·111··111·1·111·1··11···111111111··1·111·1·······1·1·1·11111·11··111·1··1·1·1·111··11·1····111·11··1··11···11·1·11···1111·11··1·111·11···1··11·11···1··11·11··1··11···1··1··1·1···1·1·11···1·11······1··1·····11··1·1111···1···1·11··1·1111·1·1··1111·11111·1··1··111···1··1111·111···1····1·1·1·11··1·11··111111··11····1··1·11·111···1·11··1·1·1··1·1··11···1·1··1111·1·111··11·1··1111··111·1111111····1
out 122 (431)	·1·11····111·11····1··1111····1·1·····11··111·1···111·1·1··1··1·11·1·111·····1··1···111111111·1····1·1··1··1·1·1···11··1···1······1·········1····1·11··1111111·111··1·111·····11··11·1··11··1111·1111·11·1···1··11111··1111··1···111··11·11·1·111··1111···111·1111111··11·1·1·11111·111·1···1·11···11·1·11······11·111··1··1····1······111··11·1·1·111·1·1···1··11111·1·····1·1··1·1111··1·1·1·1111··11···11111··1111·1·····1··11111·1·1·111··1···111·111··1111111··1·11·11111·····1111···1111··11·11·11·11··1···11·111····111·1··111··1·1111···1·11···1111·1·111··111····1········1······1···1·11··1··11·1111·111···111·1·1··1··1·1··1···1·1·11···111··1·1··11111··11····111111·1······1····1·1·1····1111·11··1·1···1···1··111··111·1···1·1·1··1·1··11··1·1·11111·1··1·11·11········1····1····1···11····11111·111111111·1·111·11·111···1·1·1·1111·1·····111·111·1··11·····1·111···11··111·····111·1···
out 123 (447)	11····1··1··11····1·1·1·1··11····111··11··1·11··1·11·111··1··11··1·1·1·11·1·11111·····1··1···1·1··1·1···1·····1··111···111··1·1··111···1···11··11··1··11·1··1·1··1·111··1111·1··111·11··111······1·11·1····1··11111111·1···1·111··11111·111·1·111·11·11···111·11·1·11····1·1·1·1··1········1···1·11111·1111·1··1···1···1111··1··1····111·11··111111111····11·1·11····111···1··111···11·111··1·1111·1111·1·11···1·1·11····11·1·11111···11·11··11··111111111·1·1··11···111·111···1111·1·1···11·11·11·1111·11····1··11·11··1··1··1·1··1··1·11···1·1··11·11··111···111···1·11···1111·1111·11111··1·1··1····11··11··11···11·1·111·1··11····11··11·1·1·1··11·11·1·111·1·1111111···11·1··111··1·1··11·1···11·1····11·1·1·1·1·1··1··111·1·1·····1······1··1111·1·1·111·1·111111·1·11·11111·1·11111·1·1·1111··1111·11··11·1····1·1···1·11··1··1····1····11111··1··1·1111······11·1111·1·1··1···11111··1···11·111
out 124 (447)	1·111·111··1··11111·11·111··1·1·1111111··1··11·····1111····1·1···11····11111·1····11··1·1·1··11·11··1········1·1··1·11··11·11·1···········1111···11·11······1·1·1111·····1·1··11·1111·111·111···1·1···1··1··11··11111··1··11·111111·11···1··11111·1·1·1111····1111·1111·1·1·1111··1··1····1·1·1··1·111···1·1111··111·1·11·1·1····1111··111·1···11··11111·11111·1··11·11·111··111·111·········1·1111·1··1·11···1··1111··11··11111···1··1··11·1·111··1111·1····1··1·1···1····1·1·11·1··1·1·111·11·1111111···1·1·111111111111·111····111··111···11·11··1····11··1·11···1·1······11·1···1··11·1·1111·1···111··1·11····111·111····11··1··1······1·1··1·1····1···1·111·1···111··1·1111·11···11·1·1·1····1·11···11·1··111··1···11·1·111·1··111·1·····11··1111111111·111·111····1·······111···1111111··111·111·11·111111··1·1111·1··11·11·111111··11··1····11·11·1····1·11···1·11····1·111····1··1·1·1·····1111
out 125 (439)	111111·11···11111·1···1·11·1···1·11·····11111·1·111····111111111····11·1·1··1·1·1·1··1·1·1·1··1···11······111111·11·111··1··1·1·111··1111···1··1111··1·111111·1·1·1·11··1···1·1··1·1··1···1·11·11111·11·1··11··111·111···1·1·1·11·1·11··11··1···11111···1··1·····11·1·11·11·11111·1·1·111·1···········11·11111·1·1111·1111·1·1··11··1··111·11···1·111·1··111·11···111·····1···11·11··1111··1111·1·1··11·111·······111··11111···11··11···1111··1···1····1·1·1··1·11···1·111111·1111·11·1·1·1····111···11·11111·1·1·1·111··1111·1····11·····111··111111·1·1·1···11···11·1··11··1·1·11···11··111·1·1·1···1111·11···11·····1·1·11·1·1······1···11·1··111···1·1111·····1··1··1·1··1··11·1······1··11·111··11··111·1·······1·11··1·1·1·1·1··111111···1·1···1·1111··11·111··1·1··1··11·1·11···11·1·1·1···11·1·····11··1·11·1·1111··11·11····1·1··1·11·1···11···11······11·11··1·11111··11·11····1···1···1·1111
out 126 (399)	1···1··1111·1··11·1·111·11··111······111··11····11···111·11····1·1111·111111·11··1····1···1··1·1····11····111·1111111·1··11····1··11111··1·11·111·1·1·1···1·1··1··1·1··1·11111·····111··1·11······1111·1··111····1111····1·····111··11·1··1·1·1·1·111···1··11···1···11·1···11·1····11111··11111···1111111·1···11··1·······11··1111···········1······1··111111·1·····1·1·····1··11··1··1··1·1··11111··1···11·1111··1····111·11·1·1··1·····11·1111···1··1·······111·1··11·····111·1·······1···111·1111·111···1··1··1····111111·1··11··1·1··111111·11·1···111·1······1···11··1····1···11··11·1···11···11·1····11··1·1···1·····1··1·11··111·1····1·1···11···11··11111111·1·········1·11··11·1111·11··11111·1····1···11·1···11··11·1·1······1··11·1·11··1·11·111··1··1·111·1·111·11·1·1·1111··1·1··1··1······1·111·1··111·1··11·1·111··1·1··1··11··1·1·1·1·1·1·····1··1··11·111·11··1···1···11·····1·1·1··1·
out 127 (423)	·1····111111··1··1··1·1·1·1·111·1··1·11·1·1·1·11······11111···1···1111·1··11·1··1···111·1··1··1·111111···1··1··11·1·11·11·1·····11·111···1····1··1111·1···1·1·1·11·1····11·1··1111···111·1···11····1··111··11····1111········1··1··1·1··111··1·11··1111·1···1··11··1··11·111·111·1··11·111·1·1·1··11·1·11····1···11·1111111·1·····1··11·11·1······11·1·1111·11111·1·····111··1······11··1·1·11····1111·111·1····111··11·11··11····11···1··1··1·1·11111··1··11····1····1···1··11······11·11··1··11·····1··111··1···11···111··1··1·1···1·11·11·1·1111111·11111·11·1·11····1··1·111··1·1···1·11····11·1·111·····11··1··1··1111111·111·1··1····111···111···1·····1·1···11··1·1·····11·11··11·11·1···1·11··11·1···1·11··1111·1·1·1·1··1·111··1111·111·1111·1·1·········1··11·11···111111·11··1·1···1·1···1111·1111···1111··1···1······111··11·1·11·11·111·1·111·1·1···11111111·1·1·111··1·11·······1··1111·1
out 128 (439)	1111·1111·1·1·11·111····1·111·11·11···1·1·1·1··11···1·1·1111·····111··11··11·1·····111111··1·1·1···11·····111·111·1·11···1·1···1·1·1111·1·····1·1···1····11·1111··1··1·11·11·······1··1111·1·······1····1··111·1·1······11·1··11··11···11·111·1111··1·11··1·1·1111·····11·111·111····1··111···1111··1···1111····11·1··1···1··11···11·1·1··1·1··1111·1··1··1··1·11····11···11·1·11·1111···111111···1···1··1··111··1111·1111·11·11··1····1··1···11··1·····11·1···1111·11····111··1·1···1·11··11·111·1··1··11·11····1··11111··1····1·11··111·1··111·1·1·····1··1··1·1111······1·11··1·11·11···1·1·1··1·1···11····1········1·11·····1·11·111·11··1·1·····1·111·1·1·11·111·1··1··111·1···11111111111·11·11·1·1···11·111·1·11····1·1·1··111··111·11·11111··111·11·1··1···1·1·1··1111·1·11·1·111·11·1·111·1·1·1·1·1·1111111·1·11·1111111·11·1··11··1·11111·1·1··1··11·1·1·11·1·1111·11·1···11·1·11·1·11···111·
out 129 (455)	·11·········11···1·11··1·11······1111·111·1·1·11·11·111··1·1·1·1·1··1··11··111·1111·1··11111·11···1···111·1··1·1·11111··11·1·11····11··11111·1·1···1111111111·1···111··111····1111··1··11·111··11··11111·1···1··1·111···11··1111··111·1·1·1·11··1·11···1·1·111····1···11·111·11··1···1111·11··11111·1·11··11·1111·1·11··11·1·11·1111·1111·1···1··1·1·111111·1·11111·····1111·11·11·1111···1·11···1111··1··1··111·1·1·11···11···111·111····1···1··1···1·111·1·1···1···11111·1·11···1··1···1·1·11··11·11111·1··11·11·······11·1······1·1··1·1·11111····1111·1··11·1·11111·1·1···1··1··1·1···111·1·111·11··11···11···1111···1·1·1·1···1·111···11···1···1··1····1·111·1··111111··11·1·1·11··1·111···1111··1·111·1·111··111··111···111·11·1·11····1··1·1··1111··1·1···1·11··11·11·1·1···1111··11·11·1·111·11···1··1·1···1·1·······11····1·11·1·11····11···1··1·11·1111·1·1·11·1··1·1111·11··11··11·111··111·
out 130 (447)	··1·····1·1·11·1··1·11···1·1111·1·11··1·11·1111··111··111··1·1111·····11111·1·11···1··111·1··11·1··1111··1111···1··1·11··11··111··1··1111111···111··11···111·1·1·1·111···1···1·1····1·111··1·1·11·1··1·11··1··11··111·11··11··1·11·111111·11·····1·111·1··1·11·1·111···11111··11111···11··1··1···11·11·11·····1····1···1111111·1·········11··1··111··11··11·111··1·11··11··11··1·1·······1·11111··11··111·111·111·1·111··1·······1···11··1·11·1···11·1····111·11·1111·1·1····1·1·11···1·1··11····1·1····1···1···1·111·1··1··11··111··1·1·1111··1··111·1··1·111·11·1·1···11111·1·11·1··1··1111·····1·1·111·1··1·1···11·1·1·1·111·1111·1·1·11··1··111···1·11·····1111111·111··111··1·11··111···1·1111··11·1···1·11···1111·1·1·1111·1·111·11·11····11··········1·1·····11111·1·1··1·11·111111·1111······1·1111······11······11·11111·1·111·1·111·1·1··11111111··111···111··1·1·1·11··111·111·····1·1·11·11
out 131 (439)	1··11·1··1··111··11··1·1·111··1··1···1·11111···1··1·1····1·11·1···1·111···1111··1111··1··1·11··1··11·1·······11···11···11·1111··1·111111···111··1··111··11·1·····1·111·1···11·····11··11··1·111······11··11··1··1·1··1···111·1···1··1··11··11111·1···11·11···11·1·1·1···1··1·1··11···1···11·1·111111·1···11·1····111·11·11··1111··1·1·11·····1·····11··111·111·1··1···111··11·1·11········1·11··1··1·1·1·1·1·1····11···111·1·····11·1·11·11··111·1111···1···11111·1·11··1··11··1·11··1··11······1·1·1····1··1·1······1111·11·1111····11·111·1···1·1·1·111··1··11·111···111··1··111111··1··111····1·111·······111··1·111·1··1·1····11··11·1111111··111111·1···1111·11·11·1·1·1··11·1·111·1·11·1·111111·1··1·1·111·11···11111·111·111·11·1·11····1··11·11·1·1···1·1·····11·111·1111·1·11··1··111·1··1···1···11·11···1111··111111··1·111·11·1·1·11·11··11·1·111···11·1·1·111111·1·1···1·111····1111111···1
out 132 (407)	111··11·11·····1·11·111··1···11·111·11111··1··1·1··11···1··11··1··11111··1·1111····1··111··1·1·11·1·······11···11·1··1111··11·1·····1··1···1·1·11·1···11·1·1··1·1·····1··1·11····1··11····1··11··1·····1·111111·1·····111·1····1·1·1····1·1·1·111·1·1···111·111······11···111··1··1···1·1·1···11··1··11···1·1···1·1··1·1···111···1··11·1·111·1··11···1·11··11·1···1·1111·111···1··1·1111111·1··1··11··1····1··11··1·1·111·1····11·1·1·1·1·····1·111····111·11··1········1·1·1·1111·········111·11··1····111·1·1···11··1·11··111111·111···1·1·11····1·1··111···1·1···11111·111····1·11··1··11·····111···1·11·1··11·1111111··1·······1··11······1····1·11·1··11···111···1·1·11··11·1·1·1·1·····1111··11111·1···11·1·11·11·11·····1···11·11·1··11··1···1·111·1·1·1·1·1111·11·····1··111·1111·1····111·1·1·····11··1111··1111··111····11·111·1······1····1·11·11·111·1·11··1·1111··1·111··11····111··111·11
out 133 (447)	11·11··1·1111··11·1·111··11·1··11·111····1··1··11····11·1·1········1·11··1111111··111··11··1···11·111··1····1·11····111·····111··11111··1·1·1·1··1··1····1·1··1111·1··111·111··1·1111111·11·111··1·······1··1·1111···11·1·1·11···1111111···1····1··111·111111·1·11·1·11·1·1····1··1111111·11··111······111·1·1111·1111111·1·1·1·1···1·1····1·11··1111·111··1···1··11··1·11··1··11·1·111··11···1111··11111·1·1··1·····1·11·1111·11····11·1·1··11·1···11····11111111···1····1·1·1·11·111·····11111·1111··1·1··11111111···111111·11·····1111111·1·1·1·1····1····1·11···1····11111··1··1·111··1·····11·11··11···1·1·111·1··11111·1·1··1··11··111···1·1··11·1··111······1····1···1····111111·1111·11····11·11··111·1·1·1···11·1···1·1·1····1·11·11···11111··11····1···11·1·1·1·1·····1·1·1····111····1·11111·1111··1··1111··11·11·1··1··1·1·1·1111·11·1111··11···11··11·11·1···11···11·1·111·1·111··1·1·11··
out 134 (407)	·11·1·····111·11·11·1···11···1··11···1····111·1·11·1·1·1···11···1·1·1111···11··111···11·1·111·····11·1····1·111··1··········1···1111111···1····111·11·111···1···111·····111··1·1·1··1··1··11·1··11··11···11···111·11·1···111···1111111·1·1··11·1·1·11···111··111·11·1·11·1111··1··1·1··1···1·1·11111···111·····1·1··1··1····1··1·1··11111111·11·1·11······11··11···1·11·1111··1·11··1···111·········1···111·····1···11··1······1··111·1·1··1····1·······1····1······1····1·····111··11·11111··1··11·1···1·1·1··1111··111·111··1··1·11···11·11·1··1111··11··1111111···1····11·1·11····1·11111······1·1··11·11····1·11··111·11···1·11111···1·11··11··1··1·11·111·1·111·111·11····1·1·11··1··11·11·11·111·1·····111111··11···1·1·11·····111·····1····1··11·1·11·11·111·1·11·11111··111····111·········1111·11···11··11···1··11111··1·1··111111111·1··1··11····1····1··1···11·1··11···11··1···1····1·1·1··1
out 135 (439)	1·1····11·1·1·1111··111···11·1···1·1·1·1·····1····111··111····11·1·····111······1·1·1··11··1··1··1···1·111·11···11·1·1·11·11··1··111·11·····1····1··11111·11·11··1··1···1·111111·1111··1·1··11·1·1111·11··11·1·1··11···1·····1··1···111······1·11····1··11·1111111·11··1····1·1·1·1··1·1··11111···11··111·11··111·1·1111·1··11····11111111···1111·1·1·1···11··1···111····1··1111·11··111·11··1·11111··111··111··1··1·1·11···11111·1···111·11111·111·11·1··11·1··11·1111·1·1·1·1·111···111·11····11·1·11·111·1·1111·11·111·1··11··11111··1···1····1111··1·1··1·11··1·11···1111·1·1··11···1··11·1·11··1·1·11·11111··1·····11·1·111·1·1·1·11···111··111·1··11·111···1·1·1·1·1·1····111······1···1·1·1··1··11···111····1·······11···1·1·1·1·1·111·11·1·1111··11·1·1··1111···11·111·111····1··11···111····11·1··11·1111·11111·11·1·111·11·11········111·····1·11·1·1·1·1···1···11·····1··11··1111·11···11·1·
out 136 (439)	11·11···11·11·····1·111··111·1·1··1·111··1·111·1111·11··11···1···1·111·11·1···1··11·1111·1·1··11·11·11111·1··1111·11·····111111··········11·11·1·1·1·1····1··111111·1···1··11·1···11111111··11·11·11·1·1·····111·1·1·111·1·1·11·11·11·11···11·11·1·1·111·1··11·1·1·······1111··11·····1·1···1111···1·11·1·····11···111·1·11·1·1·11·11111·1··1·1·1·11·1·1·11··1··111··1··1·1··1·1··11·1··1·11·1··1·111·1···111·1··1··1··1··111111··1··1111··1·111··11····1···11·1···1··1111··1··1·····111·1·111·1·1·····11··1·11·1··1111111·11·11111·111·1··1·1···1·1··1·1··1··111·111·111····111··111··111111·11··1111111·1·1·1·······11·····11···11·····11·11···········11111·1·11········1111·1··1··11·11···11·1·11111·11···1··1····11·11·1··1·111·1·1·1·····11·11·11····11··11··11····1·1·1·111·11··1··111··111··1···1111·1·111·1·11·1··111··1····1·1··1····111·11······11···1·1··11·11·1···1··1···1111···11··111111
out 137 (463)	··1111·1··111·····11···111111··1·11···11··111···1···111······111··1·1111·1··1111···111·11·1·11····1···1·11·11·1··1··111·1·11·11111····11·1·1··11··1·11··1··1·1···1·11·1···11·1111··11····11··1·11111·1··1·11111·1·1··1·1··1111111···1·1111··1·11·11·111·111·11·11·11··1·1111·1··1··11·1·11·11·111·1111··1·1·1111·····111·11·1111··11····11····1111111·11··11·111·1·11111··1·11·1111111···11111·1··11··111····1111·1·1···111···11·1··11·111·11·1·11··1·1··1·1···1····1··111·······1·····111·····1··111·1111··111·11···1·111111·11······111··11·11··11·1··111·111·1··111·11··111·1·1111·111·1·11···1·111·1·1·1·1111·1·1····11·111·····11·1·111·11·111···111·1·1··11··1··111···1·11··1·111······11·1·····1··11··1·1·11··11····1·1··11···111··1·1111··1···111··11·1··11·1····1··1··1··11··1···111···11111···11·1··111·111··1·11·1·111·1·1·1····11111·1·111·11111·11·1·1·····1··11111···11·1·11·1··11·1··11·
out 138 (431)	···1·1··11·1·1··11·1·1111·11··11···1111··1·1···111111·111···1··1·111·111···1···11··111111·1···111··1····11··1·111···1111·1·11111··1111····1·1·1···11·11111·1··111··1·111·111111·111·1·111··111··1···11···1·111···11·111111··1··1··1·11··11···11111111····11····1·1·1·1···111·1·····1·1··1111··1·1··1·1····1·1··11·11·11··111111·1·1·1·1·11··1·11·1·1·1·11111·1···11·11·1·1··11·1·1·11··11·1·1··11·····11111·11·111······11·111··11·11111···111·1·1111·1·1·11···1·1··1···1·1111····1·1·1···1·111·1···11·11·····11···1··1111·11······11····1·11···1··1111··1··1···1·1···1111111111·11··1··1·111111·1····1·111··111·111·1111111····1··1···1··1·1····1··1···1··1·1····1···11···1···11····11·1····11··1·1····1··1··1·1··11·11········11·········11·1·1····11······11····11··11·11··1111·11···1·111····11··········111·1·····1111·11·11··1·1·11·111···1·1·1·1·111111·11···111·1·11·······111111··11·11··11···
out 139 (415)	···1··11111·1111·111····11·1·11111·11·1····111111111·111·1111·1··1··1111·1··11··111·······111·11·····1·111··11··1·1···1·1···1·11··1·1·1···11·1··1··11·111···1·11··1···11····1···11··1····11·1111111·1·11·1·······1·11···111···1···11·1··1·1·1···1····1··1·1··1···11·1··1··1·111·11·1····11····11·11·1·1·11···1·······1·11111·11··111····11··1····1111·1···11··1·11111···1···111···1·11·11·1···1··111·1·1·1111···1·1··1·1·11111··1··111·1·····1··1·1·1··11·1··11·1·111··111··1·11·······111111·1111···1·····1····1·111111··1···11·1··11·1·····1·1·11·11···1·11···1··1·1·1·1··11·1···11·111·11·1·······1··1111···11··11··111·11·11·11··1·11·11··11··11··1·1·1·····11·1·11··1···1··1··11·1····11111·1·11···1··1·1·11···1·····1··1······1·1·1·1··1·1··11·1··11··111··1····1···11···11·1·111·1·1·1··1·11·111··11·1··1·1··1··1·11·11·11·1·1111·1·1111·1·1·····111·11111111····11·1·····1·····1···11·1···11111
out 140 (455)	··1·1··1··1·11··1···11···1··1·11·1·111···1··11·11111···1·11111···1··1·1······1··11·1111···1··1·1··1111·1·11111·1111··111·11··1···11111·····1···11111··1·1111·11··1·1··11·1111··1···11·1·11111··1···11··111······1·11··1···11··1111·····11111··1··1·1··1·1·111··1·11······1···111··11·····111·····111··1·11·11111·1111·111·1·1·1·1··1·1·1·11111111·111··1·1·11·111····1·1·11·····1·1·111·1··11111·····1······11·1111·1·1··1····1·····1··11·····1·1·1·1·111111111111·1·1··111·1··1·1···11··11··1111·1···1·1·111·11111·1·11·1·····1··11·1··111·11·1·11·1·1·1·1·1··1··1·1···1111·11111·1·1·1··11·1··11111111·1···1·1·1·····1·1··11····1·1·1··11·1··1·1·1·11111·1111111··1··1·1··11·1···1111·11········1··11··11111·111··1·11··1·1·1111·1··1··11·111·1·1··11··1·1111·11111·1··1·1·111·11·1111·1·1·111······11111···11·11··11··11··1·····11111··11111·1···11···1111··1·111··11111111··1·111·11·1··1····1··11·
out 141 (415)	1·1····1111··11··11·111·1·11·····1·11····1·1··1111··111····1······11·1···11·1·11····1···11···1···1····11··1··111···11111··11111·······111·1···11·11111···11····11·11···111·1·11·1··1···1111·1·1··1·111·1··1·111···11··1··1··11·111·1·1·11·111·111····11··1·1·1·111··1····11·1·1·1·11·11··111··111·1·111·1·11·1····1111·1··111·········111·111··1·1··1111·111··111··11111·11111···11··11·11·1111··11··1·111··1·111111·1·111···1·1···1·1····1·····1·1·1··111······1·····1··1·····1··1·1·1·1111·1··11··1··1··11·11·······1··11111·····1·1········11·11·1··1·11··1·1····1··11·11111··1·······11·1··111···1···1·1·11·1·111·1·1·······11·······11·1··11·11111111····11·1····1·1·1···1··1··111111·1··1·1··1···1·1·1···111·1111·11··1111·1·111····1111··11···1·1···1·111···111······11·1111·1·1·······1·1111·1·····1·1··1111·1·1··11···1···11·11····1·1·1·1···111·1111···111····1·1·1·1·11·1·1·111··1·11·1·1··1
out 142 (399)	··1···11···1·11·111111·111··1··1··11···1·······111·1·1·1·1·111··11·11····1111··1···111···11··11···1··1····11·1·1·1111··1·11··111·1···11111·1·11·1·11·1···1··1·1··11···11·······1····1····1··11··11111·1·1·111····1·1···11·1·11···11·1·1·1··1·111··1·11·1·1···11···1··111···1·111·11·1111······1·111·1··1111··11··111··········1··11·1·····1··1111·11··11···11·····111··1·11·11··1··1111··1·111····1111··1····1··11·11·111111·1··1··111···1·1······11·1··11111··1··11111·······1··1·11···1···11·····1·1·1111·1··1·1·111·11·1·11·····11··11·1·1·1·11·11·1··1··1·1111·111·11·1····1·111·11·1···1·111···1···1··1···1·11···111·11·11·111·1·1·1··1···1··1·11·1·1·····1··11111········11·1·1·1··1··111·1·11·1·11······1····11·1··1·1··11111·11·1111·1···1·11···11111····1··1·11··1·1·1·1·1111··1·11····1·11······1·1···11·1·11··111·11······11·11···1··1·1··11·1········1·····1·········1·······1···111111····
out 143 (431)	11··1111··11111111···11·11···11··1···1·1··11111·····1·1····111111·11·1·1··1·1·····1·1·1·11·111···1··1··1·1·1····11111·····1·11·1····11··1·1·111···1···1·1·1···111·111·1··1·11·1··1·11·1·11·1·1·11·1·1·1··1··1··111··1·1···1··1····1111·1111·····1·1111····1····1111·11··11·111111··11·1111·111·1111·11·1····11···11·1·1········11··11··1··11111·1·111··1·11·1111····1··1···11···1···11····1111··11··11·11····1·11····1···1·1····1·1·1·11·111·1·1····11·····111111··1·111···1111··111·11··1···1111·····1···1111··111·1·111·······1111···1·1··1·11··1··1·1··1·1111·11·11·1·11····11······11····1·1·····111·1··1····1···1·1····1·1··11······1·111···1111·11···11··1··1·1111····1·1·1·11·1111111····11111·11···11···1······11·111··111·1·11111···11111····1··11··1····11·1·1111·11111·11111··111··111·1·1··1··1··1···1·1·1·1··11··1·······11111·11·1·····1··1·111·11111111·111111·11·111·1··1·111···1·1·11·
out 144 (439)	1·11·1·11·1111··1·1·11·111····111111···1·1111·1···1··1·1···11··1···111·111·11·11·1··11··11···1····1·111··11111····1···11··111·11·11·1111··1111··1·11··111··11····1·····1··11···1·····1··1111··11·1·1······111111··11·11·1111·11·11111·1···1·11111··1·1111·1··1··1·1111·····1··1111··11·1······1·11111111·1··111··1···11····1·····11··1···1···111·······11·1·1·1111······111··11··11·111111·1···11··11··1·····1···1·1··111·111··1·11·1·····11··1·11·1····1····1·····111·11·1··111111·1·1111·1·1111111··1·11·11····1····1···1·1··11·11··111··111·1·1·1·····1·111·11··1···1111111·1·1111····111·11·1·1111·11··1·1··1··1··11111111·11·11····111··1····1··11·1·1·1····1··1·1·1··1·1·1·1······111111··········1·····111···1··111····111·····11·11··11··11111···111····1··11·1111·111·111111··1·11·11·11·1···1··11·1·11111·11·111·11111······1·1·111·111·111·1··111··1········1111·111···11·1·11·1··111···1···
out 145 (415)	111·1·11·1·1····1··11111···11···········1·1111111·····11····1···11··11··1·11·11··1···111··1··1111·1·11··11·····11111·1···1··1···11·11····1·1··1111··111··111·111·111·11··1··1·········1111···11·11·11·11···1·····1·1····11·111····11···11····1·1·1111·1·1··111111··11·1···1111···11111····111···1·1·1·1··11·11·1···1·11·111·1·1··1·1·11··1··11111111·1·111··1··1·1····1·1·11··11··1111····111····1···111·1·11····1···1··11·11····11··1·11111··111····11·····111·····11···1·1····1··1·········111···1·1·111·1·1·1111·1···1·111·11··1·111111··11·1111·1·11·11·1··1·1·1111··11··11·1111···1··11111······111··1·1··111··1111··111···11·1·11111111····1·1·1··1·····1·11·1···1111··11····11····11111·11·1·1·111···11·····1····11·1·1·111·111···1··111·1·1··1111···111··11·1··1·1·11··11·1·11··1··1········111···1··1··1······1·1111·11··1····1·1····1····1·11·1111·11··1··11·1·1···111··1······11·······1···1
out 146 (431)	·1···11·11····1···1·······11··111111111·11·1···11··1·11·····1····111111·11···1·1··11·11···1·1··1·1·1····111·11·1··11··11111·1···1·1·1··1···11··1·11···1·11·11··1··1··1·1····11·111·1··1111····11·1··1·····1···1·1111···1·1111·11·1··1··1···111··11····1··11······1···1·11····11··11···1··11·1··11111·1··1111··1··1····11·11··1·1···1·1·1111111···1·1111·1··1··11··11····1····11111·1111··11··11·11···111111·11···111·11·11··1111····11111·1111·1·····1111·11···111··1·1·1···111·111·11··11·11·1111···1·1111111·1··11·11111····111····1··11··111·1·11·11·1·1···11··1··1··1···111···111····1···1····11·····1····1·1·1····1··1····111··1··1···11·1·11··11·······11···1···11·1·11111·111111·1···111·11·11··1···1·11111···1·11111·····1···1·11··11·111·1··11·11·1·11·11111··1·111·11··11·1··1·11·····111·11···1····1·11·111··111111111··1····1··11····1··1·11··1111··1·11·11··111·1··11··1·1··1··1·111··1111
out 147 (431)	··11··1·····1·······1·11·11··1··1·1·1···111·1·····1·111·1·1··1··1111··1·1·111···1·1··1······1···111······1·1·11····1·1·1···1··11·1·1111·111·11·11····1···1·1·1·1111·111111··1····1·1·11111·11·1···1111·11··1·111·11···11··1··111111·1·1··1·1···11··1····111·1·······1··1··11·111·1···1·11·1·11··11·1···1·1111·1·111·1·11·11·1···1·1·1··11·····1····1·11·1111·1···1·1·11·····1··11·111111·111···111··11·1··11·1··1·1··1·11···1·1·111111111···1···1···1111·11·1·1····11··1·11·1111··1111····1·111··1·1·1···11··1···11111·111··11·111··111·111··11·111······11111··1·1··1·1··1·11··1·····1··1111··1··111111··1··11···1···1··11··11·1··1111·1·11·1·11111···11···11111·1·11111··1·······11111···1·1·1·11111··1·····11·11··1··11111·11·····111·····111····11·1·111·1·1111·11·1····1·111·111·1·11··111·111·····111··1··11111······1···11···1·····1111·1··1···11·111···1·····11··1111·1111···1·····11111·111···
out 148 (439)	··1111111··11111···1···11·111111····1···1·111·1·1·1·1·1·11·11···1111····111111·111·11·1··11·1······11·111·11111···11·11··1·1·1·1·1·1·11···1·1·11·1···111111111········11··1·111····1·111···111111·11·····111111····1···1·1111···1···1····1·1·1·1·1··1··1··1····1··1·11·1·1·1····1·111·111·1111·11··1·1·11·11111·1··1·11·11·11·1·1·····111······1·1···1111·1·1··111·111·1·1···1111·1··11··11··1··11·1111·111····11·1·1·111··11·1··1··1·111·111··11111··1111·11·····1·1·············11111·111·1····1··111·1···1·1·1·111·1·111·11·1·1··1·1·11··11··1111·111·11······1···1·1·11········1·1··1111···1·111111··1··111····11111··1·1·11···1·1·····1··11··1···1·11··11·11·1·1·1····1··1··1···1··11····1··1···11·11··1111··11·11··1·111·11111··11·1·······1·1·····1·1··1···1·1···1111···1·11·11·1·1·1·1·1·111111····11·1·111·1···11·11111··111····1·1···1···1·11·11111111··1·1·11·1··1··111·11·1·111·11····111·1
out 149 (423)	1··1·1·1·11·1·1···11····1··11·1·····111·111·111··11·1·1·1·····1·1·1·111111·1····11111111111·1·11111·1·11······1·11···111·1·11·1·111···1···11··1·11··1·11111·11··1·1····11·11·1····1·11·1·1·1·111··111111··1··1··1·111···11··1··11·····111111·111111··11·1·111······1·1··11······1111··1111·11·11··1111·1·11·1····1··111·····1·1··111··111···11··1·1····11·1·1··11·1·1·1·111·111111·111111···1··1··111··111··111111·1··11111111·11·1··1·1····1··1··1··11···1···1··111··11·11··111·1··111··1··11···1·1·····11·1·1··1111··11···11····1111·1·1·····11·11······1111····11···11··1··1·111111··1··1·111··1·1····1··1····1··1·1·····111·1·1·····1·1···1·111·111·11···1··11·1·1·1···1···11·11·1····11··1·111·1111·11····11·1·1111111·1··1····111·1·1111···1111········1·1·11·······111·1····1111········111··1·1···1··1·1··1··1·11·1···1···1·1·1····1···1··1·1·11111·1··1··1·1·1·····1111·1·1·····1··11·11·····1
out 150 (447)	1··1·11·11··1111111·1·1111·1·1··1···1··1·1······111111···1·1··11···11··11·111··11···1·111·1·111·11··1······11····11···11···111·11···1··11·1··1···111·11·1·1·1···11····111111·11·11··1··1111111·1··1111·111·1·111··1·1·····11·11111··1··111111·11·1··111·1·1······111·1·1·1·1·11·1·1·····1··111···111·11···1·1·11·1··11··1··1111·11·1·1····1·1··111·1···111····111·1··11··11111·1·1····1··11111·1·1·1···111·1··1··111·1·1111111·1·11·111··1···1·1·111·1111···11·1····111·11111··1·111···1··1·1····1··11·1··1··11·1·1····11·111·1·1111·1···1·1··1·1··1·1·111··111··1··1111·1·11·1·11·11·111·1111·····1···1·111···1·1··111·1··1111··1··11·1·1·11·1·1···111·11···111···11·····111·11····11·1·1·11111·111··11·11···1··111··1·11·11····1·111·11111·1··1·1···1···11·····1111··111·11111·1·11·1···1··1·1····1·1··111······1·111······1111···111·11111··11·11···11····111111···1··1·11··········11····1···111111
out 151 (447)	1··1··11·1·111····1·11·1111···111···········1···1··111111111111··1·1··1·111·11111···1·1··1··11··111·1·1··1·111111··1···1···1···11·1·····1·1·11··1··1··11···11·1·1·1·11·1·111111·111·1·111·1·1·1·······1··1···1···11··1·11···1·1·1····111·11···11··1·1······1·111·11··1·111·1·1······11·1·1111·111····111·11·1·····1·111··1·1·11··1·1···1·1·1··11·1·1·1··1·11··11111···1·111·1111··1111·1·1·1·1··11··1···1·1··1··11···11···11·1·11·1·1·1·111·111·11·11····11···11···1··1···1···1····11·1·1···111··1··1·11··11··1·11·11····1·11·11··1·1·1·111111···1·1111·1·11111··1··111·1···11·1··1·111···1··111111·11111111·11··1·11···111·11·1111111111····11111·1·111··111·111·1··11·11··1111···1·1·11·1·1·1·11·11·····1·1·111··11··111·11·111··1···1···1·111·11···11·1·1·1···1··11·11···11····1·1··1······11·11··11··1111·11·11·111111···1·11·1·1·11···11···1·1·1···1·11·1·1···1·11·1····111·1·1·1111·11·11·111111·
out 152 (431)	···11·1111··11···111·1··1··1·······11·1··1·········11111111······11·1·1···1·1···1·1···11·111·11·1·1111·1··11·11·111··1··1·1··1·····11··1·11·1·111·1·····11·1···1··1·111··111·1····111·1··1·111·1111···1·1111····1·····11···1111··1···1··11·11·1··11·111·1·11·1··11···1·1·111·1····111····11·1·11···1111·11·1111··11·11···1·1···1··11··111·1···1·1·1··11·11··11···1·1··1·1·11··1··111·1111·1111·11··111··1·1·111·1···111····111·11·1···1·1··1111··1··1··11··111···1·····111·11·1··1111·1·11·11····111·1·1···11·11·1111····1·11111····1··1····1·1···11··1·1·1·1··1·11····1··1·111·1·1·111111··········111111111···11·1··1·11·11·1111·1·····1··1··11····11·11·11··11···11·1··1·1··11··111···1··11····1···1111··1···1···1·1······1··1··11·111111·1111·11·11··1111·11·1111······1·11111···11·1111···11·1111···11··1··1·11···11111·1··1··111····11·1··111··11·1··11··1···1·1··1·111·1·1····111·1·1···11111111
check 153 (424)	···11·1·11111·1111·····1··1·····1·1·1·11·1····1···11·1·11111···1111··111·1·1···11·11···1111111·11·111·11··1·1·1·11···11··1·1···1·11111····1·11···1·······1··111·11111·11·111·1·1·11·1·11·11111··1······1·1111111··1··1111111·11·11··1····111·111·1·1·11··1·1·1···1····11··11·111·11111···1·····1··1·11······1··111·1··111··111·1····11·1·······1111·1111··1·1····1·····1111111·1111··1111····1·11·111·····1·11111111·1·111·111···1·1··11·1·11·1·11111·11·1·11111111···1·111·1··1··1··1·1··111·····11·11···1······1···111·1··1··1···1·····1·1···1··111·11···1·1111··111·11··1·11··11·1··11··1··1···11111··1·1··11·111··111··1·······1·1·1····1··11···1111······1······11111·11··11·11··11··1··1······1···1··11111·1·111····1·1···11····1·11·1·1·1·11·111·1········1·····1··1·11111··1··1111111·1····1··1·······111·11·1··1·11······1·11111··11·11···11··11····1·111··111··1111····1·1·····11·1····1·11··
check 154 (440)	1··11···1·1··1····11111··11··1···111··111111··1·1·1·111·1··11111··1·1·1111111··1·····1111···11···111···1·11·1·1·1··1111·1······11·1·1111111·1·1···1··11·11111···11111·······11·1·11··1·····111······111·1··11·1···11·1·11111·11··111···11···11·1·11·111···11·····11·1··1111···111·1·1111··1111·111·····111···1·11·11···1·1··1·11·1111··11·11··111·11··111111·111·1···11·1·1··11··1·1·······111··11···11··1111·111·1···11·1·1·1··1··1···1··111·····111··1·····1····1··11·······11·1·111·1·11·11·1··1111·111·111·11··1···11··111··111·1·1·1·····1·1···1··1·1·111·11··1··11·1·11··11···1··11·1111·11···111·1111111······111·1···1·1·1·1·1···1·1111··11·1·11··1111··1·1··1·1111·1···11·1111·1··1··11·1111··1111····111111·11·1··11·11·1·1·1·1··11···1··11·1···1··11··1··1·11·1··1111·1·1··1·111··1111··1··11·1·····1··1·1·11···11·····111··1··11··1···111·1·11·1··111···1·11··1··1······1····11·1·111···11·
check 155 (464)	111···········1·111111·1···1···1111·1·11··11·1111·111··111···1·1·1111···1·1·1111·111111·······1··1··1··111·1111·111·11·1·11111··11·11·11·11·111·111··1···1·11··111111····111··1111···1·····1····11111···1····11··1·····1··1·11·11111··1·11···11·1·11·11···1··11···1···1·····11111·1·1··11111111·1111·1·1·1··11··1··111···11··1··111·1·11·111··1····111··1·1·1··11·1···11·1··1·11··1111·1··111··11····11··1···1··1··1·1·11111·11·111·11111··111··1········1·111111111·1···111·111··1111111·11···1·11·1111·1···111···111·11111·11·1·11···111·1···1····11·1··1·1···1···1·1·1··111··11···111·1·111····111···1··1·1·11·····111··1·11··1·11··111·1·1·1··1·11·1111····111··11·1·1111·1····1111·1··1··1··11·111··11·111···1·1·111·1·1···1·1·11··1·1·1·111111·1·1·11·11·1··11·11··1···11·1111··1·1·11···1111·1·111·····111··11·11··1111····111···1·1·1·1111·1····111·1·1·1·111·1··11···11··1·1111111··1111111·1·
check 156 (424)	·111····1·11··111111··1·······11··11···1·11···111·1··11······1·11····1·11111·····111····11·1···1·1··1··1···1··1·1·11111····1·11·11·1·········1···1·11·111·······1····1111·1·11·1··11·1··111····1··1·1····1·11111111···11·111·111·1·111··111····1···111··11·11··1·11··111·11·1··11·1····1·11·1111··111·1··11·11···11·····1·11·1···1·1··1·······11111111·11111·······1··111·11··1·······1·111··111·1···1····1111·1·1·····111·11··11··11111·1111····1·1·1111111111·1··11··1·11···111·1·11··1·11·11····1··11·1·11·1·····1·1·11···111····1·11··111111····11111··11··11111···1·1·1·1·····1··1···1·1111··11··11·11111111·11·1······1····111·1·1·1···111·1·1·1111111·11111··111··11··111··11·11111·1·1·1111··11··1··11111··1·····1··1111111·11··1··1·1··11111·1·1·11····1·····1··11·1·11·1·····11·1·····1······1·····111··11·1··1··11····1·11··11··1·11·111··11····111·1·1····11·1···1·1111····1·11··1··1····11
check 157 (440)	···1111·11·1··1·1·1·11···11····11·····1·111··11·11·1111111·1111·11·11··1··1·111·111·1·····1·1··1·1····1···1111111··1····11·1111111···11····11···1111······111·1···111·1··1·····1···1·1···11·11·····11··111111··11·1·111··111·1·1·1·11·11··1·1·111·111·1···1·111··1·1·11111·11·····1111··111··1·11·11··11····11···1·1111·11····111·1···111···11···11·11·11··1··11111·11111·1···1··111·1·1··1·1111·1·11·1··1········11····11····1··111·1111·1··1····1··11·1·11····111111···11·1·11·11·1·111·1·111·11·1111···111···11·11·1·1·111··11111··1··11·1··111·1·1···1····11··11·····1·111··1·11·1··1·1··1111·11·1111···11·1··1·1111·····1··11··1··11·11····1111··1··1····1··1··111··1·11·1111··11··1·111···11····1111··1111·····1·1·1·1·1··1····1··1··1111··1·11·1···11·11··11···11·1·1·1·1··11·11·11111·1···1111·1·11111····1·11111···1·1··1111·1···1··1··1···1·11·111·1··1111·1·1·1···········1111····11···1··1·
check 158 (424)	·1··111····11·11····11··11······11111111·····1111·1···1···111·1··1·11·111·1·1·····1·1·····11111··1·11···11···11··1·····1··1····1·11·····11·11·1··1·····1·1···1···1··1··1···111·1·1··1···11·1··1···1·1·1·111·1·111·1·11·1··1··1·1·1·····1·1····111·1···111·1·1··11·1···11····1·11·11··11··11·1··11···111111··1·1·····1·1···1···1··1·11·1·11·111111··1·1······1·11··111···1··1··1··111·11·11111··111··11··111·111·1·1··111·111·111··1·1·11·1·1··1·1111111·1·11·11···1··1···1111··11·1·1··1111·11·11····1··1111·1·1··1·111·1····1·11·1··1··1··11····1·1··1·1······1·1·11··111·1·1111111·1··1···1··111·111·11···11·11···111·1··1111111··1·11··1111··1···1111·1···111·111·1····111···1·1·····11····111··111··11··11··111·111··1·11····1··1·111·1·11·1·1·11·1···11··11····111·111·1111··1·1··11·1·111·1···1··1···1·11·11·····1111·1·1·1·1······1111111111··1··1·11·1·1···1·1·····111·1·11·11·1·1··1·1·1·····1
check 159 (448)	11··11····11··11·111···1111·1··111···11111····1··1····1·11111·11···11·1·111·1·1·1·1····1··11·1···1·111·1111······1·111···1·11111····1·11··1·111··1·1·1··11·11111·11··1111·11111·1···11·11·11·1·111111····11·1·1····1111··1111······11··11·1·1···11·11·11·11·1···1111·111·······1·1·11···1111111·1··1·11111111·1···1··1···1··111111··1··111111···1·11··1·1···1····1·111·1·1111·1·11····1111·········1··11·1·1·1··1···111·1·1·········1111··1·1·1111····1···1···1··1111·111·1·1··1·1·11·11····11··1··1·1·1·····1·111·111··111·1·111···1·1·····11··11··1·11·1·1··111··111·1·11·1·111··11·1··1···111···1111··111·111···1·········11111··1·11··1111··1···1···1·111·1···1·1··1···1111·1··1··1111·111·11111··1111··11··111·1111111·11·1··11··1·11·1111····1···1··11···11111·11·11·1·11·111111·11·11·1111··1·11·1·····1111·1··11···11·11····1·11······11·11··1·1·11····111·1··111··1·1···1··1··1···1·1··11111·1
check 160 (424)	·1··1···11111··1··1111··111··1·11··1·1·1··1·1····111··11·11··1·1·1···1·111····1·111·1·1·111····1·1··11·····1····1111·1····11·1·11·111111·11111····11··1111·1··1·11····11·11·1·1····1·111··1111···1·1··111·1·1·11·111111·1111·1···1111·111··1·1·111·····1··1·111··1·············11····111·11·····1·1·1·1·1··111·1··1111·1111··11·1··111··1111·11·11·1111··11·11···1·111·111·1····11···1···1·1·111111·1··11·1····11···1··11··11····11·1·111·1·1·····1··1··1··1···11···1·1··········111·1·111·11·1··1·111·11···1··1····1111····11·11····1···111···111·1······1·1···111·111··1··1111··1·11·111··1··1·1···11···1111·111·11·1111··11·1·1·1·1111·1·1111·11·1··111111111·1······1·1111·11····111··1·11····1···1·1·········1··1·1111·1··1·11··1·1··11·1··1·11·········11·11··11···1···1··1·····111··11··11······1···1111111···11111··111··11·····111·11···11111·1·1··1111·111·1··1···1···11·11·1·1····1·11·1····
check 161 (416)	1·1·1····1··1·1·11·····1···1····1·11···111···1·11··1·1··111·11111·11·1···11·1···111·11··11·1··111·1·1····1···11·1··1··1·1·11··1···1·11··11··1·1111··1·1·111111··1···1·······1······11·1··1111·11···1111·1··1·1·1111·1111······1111·1·1··11·1····1·1·1···11111··11·11····1·1······11····1·1····1·111·······11·11·111·1·1·11···1111·····1·111·11·1·1··1111··1·111111·11···111·1··1·11·····11·11·111····1·1·1·111····1·11·····1····1·····11·1·11111111·····111··1·11·1111··11·1··1·1·11····1····11111···1·1··1111·1·1····1··111·11·1·111···1111111···1·1·····1111·1···1···11··111···111111111··1···1···1··11······1··1111·1····1··11····1·11·1··111··1·1111·1··11111·1·1·11·11·1·······1··1·11··11··1···1111111111········1···1······1·1···111·1·111·11111···111···11111111··11·1··111·1·1·······1·11·111·1·1·1·····1··1·····1·11·1·1···1·1··11·11·1···11·1····111··1····1··11··1·1··11·11111111··11·11···
check 162 (448)	··11····1·11·111111·1········11·········1·1··11·111··111·1·1111·11·1···11·····111·1·11·11111·1····1·1········1111·1·11111·111·1·1··1·111111····11·111111111·111···1·1·11111····1·1·1·1·11·1··11·1111···1··1·····111··1····1··1·11·1··1·········11·11·1·11·1111···1·1·1··11·11··1·1···1·11111111·1··1··111·1111····1·11·1·111·1·111··111·1111·1111··111111·11·11·1·111·111111111·1·111·1·11·····1·1········1··11111······1···11···111···11·······1111111···1111111·1··11·1·1111·1····1··11·1111··111111·1111···1·1111·1···1·11··111········1·1···1·1··11·11·11··1·1·111111···11···1·111111···1·111·1··1·1·······1·1··1··1··11·1··1··1·111·1·111··11···1·1111·11··1···11·1·1····111·11·1··1··1·11·······11·1·11·111··1··1·····1·1····111··1·1·1·11····11···1·1···11·····1·1111·111111·11111····11111·111·1111·········1·11·1111·1·1·1·111··1·11··1··1··11··11·1·111·1·1·1··111·11····1·11·111111·11··1···
check 163 (440)	·11······11··11·1·11·1····1··1···1···11···1·1111111·1·1·1·····1·11·1·1··1·1··1··1·11·1·111·111·1····1·1·1··11·11··1·11··1··1111·11111·1·111111··1·1·111·1·1·1··1·111··111·1··1·1·11·······11····11·11111·1·1·111··1111·11·111·1·1·111·11··11·1···1···1·111····111·1···1·1···11··11111111···11·11···1·1·11··1····1·111··1··1111··1····1·11111··111··11··1·1·1··1·1·1····1111·111·1·11·11·111·111·111·1·1·1·11··11·······1·1·11·1····11··1111····11111··1·1·1·1··1·1111·1··1··1··1··111·1·1·11··111111····1·1111·1·11·1·1··1·11····1··11··11··11·11·11···11···1·1·11··1··1·1··1···1····1···1·1·1·1·11··11·······1111··1··1··111···1·111·111··11···11···1··11··111·····11·1··1·11111···1·1111·11111···11·1··1·1··1··1···11··1·111·11····1··1·111··1··111·1····11111111·········1··11··11·1··1·11·1·111111··11·····1·1·11··1··111111·1·11··1···1···11···11·111·1·11··11·11·1·11·1···1·1·11·1·1·1··1·1·11111
check 164 (408)	11·11111·····1···11····1·111·111·1·1111·····1···11·11·1··11·1··1111111·····111···1···········1···1·11·111··1·1·1····1·····1·1·1·11·11·1111··111·1·1·11111·1···11··11···1··1·····1··1··1····1···1·1··1··11·1·1······1···11·····11·1··1··1··11·11·1·11···11·1···1111111··1·11··1111111·1········11·1···1·1·1·1·1·1·1111111··111····111····11····11···1··1··11···1·1·····1·····11··1··1··1··111111·111·1···1··1··111·1··1··1·1·1·1·······11·111111··111··11··1··1··1111··111·11111111··11·····1·1····11·1·1·1···11···1··1·11·1···1·····1111·111··1·1·1111···1·······1··1·11····1···1··1·1··1·····11111··1··1111··11111·····1·1····111111·111·1·11·1·111111···111··1·11·1·1·111··111·1·····1·11111·1·1··1·1·1·111·········1···1·1·111·11·1··1···1··11··11··1111··1·11··11··1···1·····1·111111··1···11·111·1·1·1······1111···1·1··1····1···11·1····11111·1···11·····1·····11·1111·1·1111···111··1111111111··
check 165 (432)	··1··1·1·1·1···11·111·1··1·11··1·······111··1··1·11··1·1·111111·1··1·11····111··1·····1·1··111·1···1·1·111··1·11··1··1·1·1111·1···11··111··1···111·11···1··11111111·111111···11111·11·1·11·111··1·1·1····1···1·11··1·1111··1···111·1·11·1···11·11·11·11·111·1········111·11·1··11·1·1·1·11·11··111·111·1·111····1111··1·111··1·111·11···11·111·11·11··1··1·····1·1··1·1·11··1·1·1····1··111·1··1··11·11··1···11111111···1·11···11··11··1·1·111···1·11·1·1··1··1····11··1··1·11·1111·1····1···11·11·1··1·1·11·1··1111··1·11111·1·1···1··11···111111111·11··111··11·1··1·1·11···1·1111·11·111·1·1·11···1·1·11111·111··11··1·1··11···111····1·1·1··11111······1···11··1·11·1111··11····1·11··1··1···11··11·1····11··111··1··1····11··1·1······111·111··11··1··1111111·1··1·1·11·1···1··11·1··1···111···1··1··111·1··1111···1·11·11···1·11·11···1·1·······1··11···111·111··1·1·1··1·····1·1··1··1···1·1··1·
check 166 (432)	111·1··1···111··1··1··1·····111··111··1····1·11·11·11···1···111···1··11··1··11··11···1·11111···1··1·1··11·11·1·1···1·1111111·11·1·11·1111111111···11··1·11··11·1·····111·1··11····1·····11··11111··1·1·1111·1·····1111·1·1·1··1······1··11·1·11·111··1···111111·1···1·11·11111·11·11·11111·11·111·111111·11··11111·11·1·11111·111··1···11·1····1·11··11·1·1··1··1·11··1···11111···11····1·1·1·111·11·11111·1·1·11·1·1·····1111····11·1····11··1·1·11··1·······1·····11·1·11111·1···1·11·····1··1···1·11··1·111·1·1·1··1·1·1···11··1·1··11··1·11····1·11·1·1····11··1·····1·1··11111··1··11··1··1·····11··1···1·1··1··1···1·11···········1···111·1··11··1··1·11·1111····11·1·1·11···1··111·11··1111·111···1······1··1··11·1111··11···111····1111·11···11·111······1··1·11·111111111·11·1·11·1···11·1·11·1····11·111·111···1··1·111·1···1111·1·1·1·111111·1·1··1·11··1··1·1·1···1··11···1·11·11·1·1·1·111
check 167 (432)	1···1··1·······1··11111····111·11···1···1···1··11·11····11·······1··1···111··1··1·11··1111·111·1····111··111·1··1··1···11··11·1·11·1·1111·1···1··1·1111·11111·11·····111111·1··1·11····1·11111·1···11·11··11·11·11111·1·11·1111·111····11·1111·1·111··11·1·1·1·11·1···1·11··1·····1·1·111···1···111·1··1·······1·11·1····1111·1111·······1·1111·1·11····111········1···1·1·11···11·1·1··1··111·····1·······11111111·········1··111111·1·1······11··1·1111·11·····111·111····11111··1111·11···1·1··1···1·1·1·11111···11··1111··1111·111··1·1·11··11·1111·11111···111·1·1··11111·1·1··1·····1··1111·1·1··1···11···11111········1·11·1111··1·11111·11·1····1··11·11··1·111·1·1·111···11·1··11111·1·1·1··11·1·111·1·1·······1··1·1···11·····1····11·1··11·1·11·1·111·1111··1··1·11··11111···1·1111·1···1·11·1·1······11··11·11·1···111····11·1······11·1·1··11····111111····1··11·11111·1111111·1·111··1··1
check 168 (440)	·1111·11··1·11·11······1···1·1······1111·111·1······111·1·11·1111·1·11111·····11··11111·1111·11·11···11111·1··1···1111···111··1·1·····1···11···1·11·1···11····1·1·1·1····11·11··1··1····11···11····11111·1·11·1111··1··1··1···1·1111111·11111···111·1·1111··11·11111··1··11·11·1·1·1·11·1·1··11·1···1111··11·11111111·1·11····11·111·111·1111·1···11·11·111··1·1·····111·11·111·1···111··1····1··11111········111··1·11····111·1······1··1111111·1···1··1·1··1···111·1··11··1···111··111·11·1·1··11·1111····11·1111····11·111111·1·1·11·········1·1···11···1111·111···1····1·1··111111·1····1··1·1······1111·11·1·1····11·1·111··1111·1·111·11·······111111··1··11·11··111··1··111·1·11··111·1···1111·11·1111·1···1·1····1·111······1111··1·1·1·111··11···11·1·1···111··1·1··1···1··1···1·····1·111·1··1···11··1··1··1···11·11···1111·1·1··111·1·1·1·1·1·1·1···11111·11·1·11··1··1···1·111·1···1111·1··
check 169 (440)	···1·111·1··11·1··1111···········111·11111·11··1·1····1·1·1·11··11·1·1··1·1····1·11····11···11·11···111111·1111111··1··11·1·1····1····1·111111··11······11·1·····1··1·1·1····111111·111·····11···1··1··1·1··1···1··11·11·1·11·11·11111··1·1··1··11·1·11·1·11····1·····111·1·11··111··111············1111····1·111·1··11·1111·1·1111·11·111·111·1·111·111·1·11···1·111····1·11··1111111····1111····1···111···1111·1··1····1·1·11···11···1·1··11··1····1·1·11·1111·11·1·11·111·1··1···1·11·1·1··111·1···111·1···1···11··1··1·111·11···1·11·11111···1·1·1·111····1·1···111·1111·1·1···1111·1··11·11··11111·1·111···11·1111·1·1·11··11··1·····11·1111·1·1·111·1111·11··111·1·1··11··1·111····11····11···111·1·11·1111·1·111··1·11·111····1··1·11·1·1··1····1·····1111···1··1·11111·11·1··11·1·1··1111·1·1·1··1··1·111·1·1····1··1···111··11··11·1·11·1·1·1·1····11····1111·111·1·1·1·111·1··11··1·1··1··111
check 170 (432)	·111···1·1···1111·1·11··1··11·1····1·111·11·1····1··1·111··1·1·111·11·1111··1·····11····11·11·1111······1·1111··1·11···11·11·11··1·1···11·1·1·1······11··1·1·1··11···11·11111·1··1·1·1·1111·1111··111·111·1·11111111··1·1·11···1·11··111·11111··1········1111111·1·11··11···1····11···1·····1··1·····111·111·····1·1··11····1·1·11··11·11·11····1···1··1111·1·1·1·1·11·1···1111··1··1·1·11··1·111······11·····111·1····1·11·1·111··11··111··11111··111·1·111···11····11111··1··1··1·1111··111111·11·····11·111··111··11111·1·111·11111·11·111·1···11·1111··111···1··1···1···11··11·11···11···1··1·111·····1·1·11·1·····1111··11···1·111··1·111···1·1····111·1111···1·1·11·111·····1111·1····1·1···1···11·11·1111··1·1·····11·111111·1····1···1·1··1···1···1·11·1·111·111··111··1·1··1····1·111·····1·111····1111···1··11·11···1··1··1·11··1·1·111·1·1··11111···11·11··1····1··1·1111···1···1·1··1··1·11
check 171 (448)	·111··111·1··111·11·11·111·1·········1··1111··1··111111···1·1·11111·11··11·111·111···1·111······11··1····1·11111···11111··1·····1111·1·1··1·1··1··11·····11··1111··1··11·111··11·1·1·11111··1111·1·1··1·11··1···11·11111····1···11·11111·111··1··11··11·111111···11·11···1··1·11111·11111111·1··11··111·11······1·1111111··1·1111·1·····1··1111······1··1··1·1·1·1·111··111··1··1111···111111·11····1·1··11·11··1··1111·1··11···1·1111··1·1··11··11111·1·11··1··········11···11···1···11···111·1·11··1·11···1·1···1·1·1·11··1··11···11···1·1·······111111··111·1·111··1···1··111·1·111···1···1··1··11··1·1···1··11111·1·111111·111·1·1·11··11·1···1····11·1···1·1··111·1······1····111111····1111·1·111111·1·11111····111··11·1111··1111·111··1··1·11·11·11·1·····1·1·1·1····111······1··1··1·111111111··1·11··11·1·11···1·11··1··1··111··111··11··11···1·1·11··1··1111·11······1··111·1111··111·11·1··
check 172 (448)	··1·1·1·1···11··1·1··1········1···111·1·11···11··11·11····1111111·1·······11·1··111·····11··1·······1·111111··11·111·11··1···11····1·11·11···1·11·11·1·1·····1··111··1·11·111··1·1··1·1·11··111111·11·1·1·1·1·1·1·1·1111·111·111··1··111111··111·11··1··11····1··11·111·11·11111···11·111·1111·1·······111··1··11···11111·111·····11111·11···1··11····11··1·111··11··11·······111·1·11··11111··1·1··1111·11·11······111·11··11·······1····1···11111·11·1·1·1·11·1··111····11·1·······11··1·111··11·11·1·1····1··1·1·1····1···111··1111·1··111111·11··11111··1··1·111·11·11··1·1··1··111·111·111··1··1··111·111··1·11·111··1··1·1··111·1·1·1·11·11111·11··1·11····1···11·1···111·11·111·11111·11111··11·111111··11··1··11···1·1·1111···1···1··11111·1···11·1·11·111111111·11111··11·11·11·1···1··11·1·······11·······11111·1·1·11·11···1·1··1·11····1·1·1·1··111111··1111·1·111·····1·····1111·1·1··1·1·
check 173 (416)	·1····11··1··11·1111···1··11111··1······1···11111·11···1·1··1111···111···1···1·11··1·1·11·1·11·11··111111····1·11··1·11··11·1····11·1···11··1··11111··111·1·1·1····11·1··11··111·1·11···1111·1··111111·1··111··11111·1·····1···1······111·1·1··1111·1····1····1··11··1·11···11··1·····1·····11·1··1··111·1·1·11··11·1····11···1··11··1·111··1·11·11··11·111·11·1····11·11··111·11111·1·11·1···1111····11·1·····1·1·1·1·11·1··111··111···1111··1····111···111··111··1··1·11··1·11··1·1···11·1111·1··11·11···1111111····111··111··11·111111··11·1·111··11··11····11··1··1·1··111·1·11·11·11·111·111···1·11·1·11···1·1···1··1··111·1·····1···11·1·11·1····1·11········1·····1··11·11·11···1··11··1···111··1··1·11·1····1·11·1······111···11·1·11··1·1·1··1··11·11·····1·1··111·1·····11111··1·····1·11·····11·111·111····111·1··11111··11·11···1····1··11111·1111·1·1······1·11····111······1···111·1·····
check 174 (424)	·······11·1·1···1·1···1·1111·1·11·1···11··1·11·111······11··111·11··1···1·····1···111·1·1·1·111·1··111···1·····1···1···11111··11111····1·11···111·1·1·111·1····1·1·1··11·111··11···1·11···111··1··11··1··11··1·······111·1··11··11···1·1·1··11·1·1···111····1·1·1··1··11·111·1··1··11·11·111··11·1·1·11····111·11·1·1···1···1···11·111·11··111··1·11·1111·11··11······111·11·1·1·1111·1111·1··1··1111·1··1111···1·111·11··11·1·1111··1····111·11111····1··1·11·1·111·11·11···11·1··11·11·111111······1111·1·1····111111·1111·1···11··1··11·111·1····1·····11·11111111·····11·1·1··1··1···11·1······1·1·11·111·1·1·····1·······1··1111···1·111··1·1··1····1·11·11·1111·1111·111··1111·1·1·1·1··1··1·11·1111···1····1··11··111·1···111···1·111·11·11·······1·11·1··11111····1··11···1·11·1·11·····11·1·······1·11111···1·1·1·111···111111··1·1·······1··11·111··111··11111····1···11111·····1···1···111··
check 175 (424)	··11·1···111··111··111·11······1·······111··1·11111·1·1111··1111·1·11····11111111·11111·11··111··111·1111··11··1·1·11·11·······1·1·11··11····1·11·1·111·111··1·1111···1111·1········111·1···11·····1·1··11··1··11·1·1·1···1····11··1··1·1111·11··1·11·11·1·111··1·11··1···11·······1·1···11·1·111·1·11··1111····111·11··1·11·1·11111···1·11··111111·1·····1····1··1·1···1········1·1·1·1··11·1··········1··1··111·111·11·1111·1···11··111·11·1111111·111111111·1·1·1··11···11·1·1111·1·11·1········1·1···11·1·11····1··111111·1·1···111·11····11·11·1··1·111·····1·1··11····1··1·11·11···1···111·1·1··1··11·1··1···11·11·1·1····1·····1··11111·11··1··1······11111111·1111··11·1·11·1··1·1··1··1111111·111····11·11·11·11··1·11·1··1···11··1··1·1·1·1·1··1···1·1·1······1··11111·1111·11····1·11·1··1···1·11····1··1·11···11··1·11··1·11·11·1····111·11·111·1··11···1··1··11··1·11·1·1····11········1··

The gate is read off the output rows. An output row of odd weight gives a T, a pair of output rows with odd overlap gives a CS, and an odd triple overlap gives a CCZ. The circuit is a valid factory because every such parity that touches a check row is even.

Figures of merit

inputs n871Noisy T states per run.

outputs k153

distance d4Exact, proved and witnessed here.

error coefficient A_{4}2,892Faults of weight 4 in the circuit shown that pass every check and damage the output. The output error is A_{4}\,p^{4} to leading order.

wires N176

checks r23

V_{\mathrm{ex}}153T states per run. CCZ counts as two.

\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.2546Overhead per extractable T state. Lower is better.

\gamma = \log(n/k)/\log d1.2546Overhead per output qubit.

\gamma_T = \log(n/T)/\log dnot computedOverhead per unit of T-count.

T-countnot computedMinimal T-count of the output gate. Not computable at this width.

phase-polynomial degreenot computedMinimised over changes of output basis.

effective width153Rank of the output rows modulo the check rows.

Output gate

153 T0 CS0 CCZon 153 output wires

As gates: \mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \mathrm{T}_{11}\cdot \mathrm{T}_{12}\cdot \mathrm{T}_{13}\cdot \mathrm{T}_{14}\cdot \mathrm{T}_{15}\cdot \mathrm{T}_{16}\cdot \mathrm{T}_{17}\cdot \mathrm{T}_{18}\cdot \mathrm{T}_{19}\cdot \mathrm{T}_{20}\cdot \mathrm{T}_{21}\cdot \mathrm{T}_{22}\cdot \mathrm{T}_{23}\cdot \mathrm{T}_{24}\cdot \mathrm{T}_{25}\cdot \mathrm{T}_{26}\cdot \mathrm{T}_{27}\cdot \mathrm{T}_{28}\cdot \mathrm{T}_{29}\cdot \mathrm{T}_{30}\cdot \mathrm{T}_{31}\cdot \mathrm{T}_{32}\cdot \mathrm{T}_{33}\cdot \mathrm{T}_{34}\cdot \mathrm{T}_{35}\cdot \mathrm{T}_{36}\cdot \mathrm{T}_{37}\cdot \mathrm{T}_{38}\cdot \mathrm{T}_{39}\cdot \mathrm{T}_{40}\cdot \mathrm{T}_{41}\cdot \mathrm{T}_{42}\cdot \mathrm{T}_{43}\cdot \mathrm{T}_{44}\cdot \mathrm{T}_{45}\cdot \mathrm{T}_{46}\cdot \mathrm{T}_{47}\cdot \mathrm{T}_{48}\cdot \mathrm{T}_{49}\cdot \mathrm{T}_{50}\cdot \mathrm{T}_{51}\cdot \mathrm{T}_{52}\cdot \mathrm{T}_{53}\cdot \mathrm{T}_{54}\cdot \mathrm{T}_{55}\cdot \mathrm{T}_{56}\cdot \mathrm{T}_{57}\cdot \mathrm{T}_{58}\cdot \mathrm{T}_{59}\cdot \mathrm{T}_{60}\cdot \mathrm{T}_{61}\cdot \mathrm{T}_{62}\cdot \mathrm{T}_{63}\cdot \mathrm{T}_{64}\cdot \mathrm{T}_{65}\cdot \mathrm{T}_{66}\cdot \mathrm{T}_{67}\cdot \mathrm{T}_{68}\cdot \mathrm{T}_{69}\cdot \mathrm{T}_{70}\cdot \mathrm{T}_{71}\cdot \mathrm{T}_{72}\cdot \mathrm{T}_{73}\cdot \mathrm{T}_{74}\cdot \mathrm{T}_{75}\cdot \mathrm{T}_{76}\cdot \mathrm{T}_{77}\cdot \mathrm{T}_{78}\cdot \mathrm{T}_{79}\cdot \mathrm{T}_{80}\cdot \mathrm{T}_{81}\cdot \mathrm{T}_{82}\cdot \mathrm{T}_{83}\cdot \mathrm{T}_{84}\cdot \mathrm{T}_{85}\cdot \mathrm{T}_{86}\cdot \mathrm{T}_{87}\cdot \mathrm{T}_{88}\cdot \mathrm{T}_{89}\cdot \mathrm{T}_{90}\cdot \mathrm{T}_{91}\cdot \mathrm{T}_{92}\cdot \mathrm{T}_{93}\cdot \mathrm{T}_{94}\cdot \mathrm{T}_{95}\cdot \mathrm{T}_{96}\cdot \mathrm{T}_{97}\cdot \mathrm{T}_{98}\cdot \mathrm{T}_{99}\cdot \mathrm{T}_{100}\cdot \mathrm{T}_{101}\cdot \mathrm{T}_{102}\cdot \mathrm{T}_{103}\cdot \mathrm{T}_{104}\cdot \mathrm{T}_{105}\cdot \mathrm{T}_{106}\cdot \mathrm{T}_{107}\cdot \mathrm{T}_{108}\cdot \mathrm{T}_{109}\cdot \mathrm{T}_{110}\cdot \mathrm{T}_{111}\cdot \mathrm{T}_{112}\cdot \mathrm{T}_{113}\cdot \mathrm{T}_{114}\cdot \mathrm{T}_{115}\cdot \mathrm{T}_{116}\cdot \mathrm{T}_{117}\cdot \mathrm{T}_{118}\cdot \mathrm{T}_{119}\cdot \mathrm{T}_{120}\cdot \mathrm{T}_{121}\cdot \mathrm{T}_{122}\cdot \mathrm{T}_{123}\cdot \mathrm{T}_{124}\cdot \mathrm{T}_{125}\cdot \mathrm{T}_{126}\cdot \mathrm{T}_{127}\cdot \mathrm{T}_{128}\cdot \mathrm{T}_{129}\cdot \mathrm{T}_{130}\cdot \mathrm{T}_{131}\cdot \mathrm{T}_{132}\cdot \mathrm{T}_{133}\cdot \mathrm{T}_{134}\cdot \mathrm{T}_{135}\cdot \mathrm{T}_{136}\cdot \mathrm{T}_{137}\cdot \mathrm{T}_{138}\cdot \mathrm{T}_{139}\cdot \mathrm{T}_{140}\cdot \mathrm{T}_{141}\cdot \mathrm{T}_{142}\cdot \mathrm{T}_{143}\cdot \mathrm{T}_{144}\cdot \mathrm{T}_{145}\cdot \mathrm{T}_{146}\cdot \mathrm{T}_{147}\cdot \mathrm{T}_{148}\cdot \mathrm{T}_{149}\cdot \mathrm{T}_{150}\cdot \mathrm{T}_{151}\cdot \mathrm{T}_{152}

As monomials: 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100+101+102+103+104+105+106+107+108+109+110+111+112+113+114+115+116+117+118+119+120+121+122+123+124+125+126+127+128+129+130+131+132+133+134+135+136+137+138+139+140+141+142+143+144+145+146+147+148+149+150+151+152 (output wires per term, separated by +)

This row stands for every gate that a CNOT circuit and S, Z and CZ gates on the outputs can reach from this one. They all prepare the same magic state. The wires are shown in the S_k-canonical frame.

Clifford correction

With every rotation a \mathrm{T}=\mathrm{diag}(1,e^{i\pi/4}), the rotations deposit the gate above times a diagonal Clifford. Undo it after the rotations and before the checks are measured, with 153 single-wire gates: \mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23 and 129 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 153 correction gates

\mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23, \mathrm{S} on output 24, \mathrm{S} on output 25, \mathrm{S} on output 26, \mathrm{S} on output 27, \mathrm{S} on output 28, \mathrm{S} on output 29, \mathrm{S} on output 30, \mathrm{S} on output 31, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{S} on output 34, \mathrm{S} on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{S} on output 38, \mathrm{S} on output 39, \mathrm{S} on output 40, \mathrm{S} on output 41, \mathrm{S} on output 42, \mathrm{S} on output 43, \mathrm{S} on output 44, \mathrm{S} on output 45, \mathrm{S} on output 46, \mathrm{S} on output 47, \mathrm{S} on output 48, \mathrm{S} on output 49, \mathrm{S} on output 50, \mathrm{S} on output 51, \mathrm{S} on output 52, \mathrm{S} on output 53, \mathrm{S} on output 54, \mathrm{S} on output 55, \mathrm{S} on output 56, \mathrm{S} on output 57, \mathrm{S} on output 58, \mathrm{S} on output 59, \mathrm{S} on output 60, \mathrm{S} on output 61, \mathrm{S} on output 62, \mathrm{S} on output 63, \mathrm{S} on output 64, \mathrm{S} on output 65, \mathrm{S} on output 66, \mathrm{S} on output 67, \mathrm{S} on output 68, \mathrm{S} on output 69, \mathrm{S} on output 70, \mathrm{S} on output 71, \mathrm{S} on output 72, \mathrm{S} on output 73, \mathrm{S} on output 74, \mathrm{S} on output 75, \mathrm{S} on output 76, \mathrm{S} on output 77, \mathrm{S} on output 78, \mathrm{S} on output 79, \mathrm{S} on output 80, \mathrm{S} on output 81, \mathrm{S} on output 82, \mathrm{S} on output 83, \mathrm{S} on output 84, \mathrm{S} on output 85, \mathrm{S} on output 86, \mathrm{S} on output 87, \mathrm{S} on output 88, \mathrm{S} on output 89, \mathrm{S} on output 90, \mathrm{S} on output 91, \mathrm{S} on output 92, \mathrm{S} on output 93, \mathrm{S} on output 94, \mathrm{S} on output 95, \mathrm{S} on output 96, \mathrm{S} on output 97, \mathrm{S} on output 98, \mathrm{S} on output 99, \mathrm{S} on output 100, \mathrm{S} on output 101, \mathrm{S} on output 102, \mathrm{S} on output 103, \mathrm{S} on output 104, \mathrm{S} on output 105, \mathrm{S} on output 106, \mathrm{S} on output 107, \mathrm{S} on output 108, \mathrm{S} on output 109, \mathrm{S} on output 110, \mathrm{S} on output 111, \mathrm{S} on output 112, \mathrm{S} on output 113, \mathrm{S} on output 114, \mathrm{S} on output 115, \mathrm{S} on output 116, \mathrm{S} on output 117, \mathrm{S} on output 118, \mathrm{S} on output 119, \mathrm{S} on output 120, \mathrm{S} on output 121, \mathrm{S} on output 122, \mathrm{S} on output 123, \mathrm{S} on output 124, \mathrm{S} on output 125, \mathrm{S} on output 126, \mathrm{S} on output 127, \mathrm{S} on output 128, \mathrm{S} on output 129, \mathrm{S} on output 130, \mathrm{S} on output 131, \mathrm{S} on output 132, \mathrm{S} on output 133, \mathrm{S} on output 134, \mathrm{S} on output 135, \mathrm{S} on output 136, \mathrm{S} on output 137, \mathrm{S} on output 138, \mathrm{S} on output 139, \mathrm{S} on output 140, \mathrm{S} on output 141, \mathrm{S} on output 142, \mathrm{S} on output 143, \mathrm{S} on output 144, \mathrm{S} on output 145, \mathrm{S} on output 146, \mathrm{S} on output 147, \mathrm{S} on output 148, \mathrm{S} on output 149, \mathrm{S} on output 150, \mathrm{S} on output 151, \mathrm{S} on output 152

Or no Clifford gate at all: run every rotation as \mathrm{T}^\dagger. A power of \mathrm{T} costs one magic state, like \mathrm{T} itself. For a code this is a transversal \mathrm{T} gate, \mathrm{T}^j on each qubit.

Rotations are numbered by matrix column, from 0. The correction comes from the columns by the weight expansion of Bravyi and Haah (2012). verify_catalog.py re-derives it, checks the corrected circuit's phase input by input against the gate, and on small circuits simulates it gate by gate.

Convert the output with CNOT and S

A CNOT circuit on the outputs, followed by S, Z and CZ gates, turns this factory's gate into other gates that prepare the same magic state. Type a target gate to check whether it is reachable. If it is, you get the circuit, checked on every basis state.

Or list every gate it reaches. The list is built in your browser and saved as a text file, one gate per line.

Python code that writes the same list

import json, urllib.request

NAMES = {1: "T", 2: "CS", 3: "CCZ"}


def equivalent_gates(k, terms, limit=1_000_000):
    """Every gate a CNOT circuit and S, Z, CZ gates reach from this one.

    A gate is its set of terms mod Clifford: {a} is T, {a,b} is CS and
    {a,b,c} is CCZ on those outputs. CNOT c->t sends x_t to
    x_c + x_t - 2 x_c x_t, so a term on t but not c adds the term with t
    replaced by c, and, below CCZ, the term with c added.
    """
    start = frozenset(frozenset(m) for m in terms)
    seen, queue = {start}, [start]
    for gate in queue:
        for c in range(k):
            for t in range(k):
                if c == t:
                    continue
                new = set(gate)
                for m in gate:
                    if t in m and c not in m:
                        new ^= {(m - {t}) | {c}}
                        if len(m) < 3:
                            new ^= {m | {c}}
                new = frozenset(new)
                if new not in seen:
                    seen.add(new)
                    queue.append(new)
                    if len(seen) > limit:
                        raise RuntimeError(f"more than {limit} equivalent gates")
    return seen


def name(gate, k):
    sep = "," if k > 10 else ""
    terms = sorted((sorted(m) for m in gate), key=lambda m: (len(m), m))
    return "·".join(NAMES[len(m)] + sep.join(map(str, m)) for m in terms) or "I"


url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/871.153.4.a.json"
record = json.load(urllib.request.urlopen(url))
k = record["parameters"]["k"]
gates = equivalent_gates(k, record["gate"]["monomials"])
lines = sorted(name(g, k) for g in gates)
print(len(lines), "equivalent gates")
with open("equivalent-gates-871.153.4.a.txt", "w") as out:
    out.write("\n".join(lines) + "\n")

Distance

d=4, exact. No fault of weight below 4 is both undetectable and damaging. One of weight 4 is.

Exactly 2,892 faults of weight 4 are undetectable and damaging, so A_{4}=2{,}892. If each rotation fails independently with probability p, an accepted run has a damaged output with probability A_{4}\,p^{4}+O(p^{5}).

A damaging fault of weight 4 sits on columns [0,7,62,354].

A fault is a set of faulty columns. It is undetectable when their check parts cancel, and damaging when their output parts do not.

Original source

S. P. Jain, A. Wills, and S. Singh, "Symmetry and AI-assisted discovery of magic-state factories," arXiv:2610.06535 (2026). arxiv.org/abs/2610.06535

Provenance

found by an AI search campaign; a verified witness, not a maximum

Found by: AI search

Discovery: AI search

1 recorded source

[
 {
  "regime": "AI search",
  "file": "master_catalog/catalogue_new",
  "label": "T0.T1.T2.T3.T4.T5.T6.T7.T8.T9.T10.T11.T12.T13.T14.T15.T16.T17.T18.T19.T20.T21.T22.T23.T24.T25.T26.T27.T28.T29.T30.T31.T32.T33.T34.T35.T36.T37.T38.T39.T40.T41.T42.T43.T44.T45.T46.T47.T48.T49.T50.T51.T52.T53.T54.T55.T56.T57.T58.T59.T60.T61.T62.T63.T64.T65.T66.T67.T68.T69.T70.T71.T72.T73.T74.T75.T76.T77.T78.T79.T80.T81.T82.T83.T84.T85.T86.T87.T88.T89.T90.T91.T92.T93.T94.T95.T96.T97.T98.T99.T100.T101.T102.T103.T104.T105.T106.T107.T108.T109.T110.T111.T112.T113.T114.T115.T116.T117.T118.T119.T120.T121.T122.T123.T124.T125.T126.T127.T128.T129.T130.T131.T132.T133.T134.T135.T136.T137.T138.T139.T140.T141.T142.T143.T144.T145.T146.T147.T148.T149.T150.T151.T152",
  "N": 176,
  "d": 4,
  "d_is_exact": true,
  "origin": "frontier_campaign",
  "provenance": "frontier_campaign \u00b7 catalogue.jsonl:344"
 }
]

Use it in code

Load this factory and re-derive every number from its circuit with the catalogue's own verifier.

# git clone https://github.com/shubhamj810/magic-state-factory-repo
# cd magic-state-factory-repo/master_catalog
import json, urllib.request
import verify_catalog as VC

url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/871.153.4.a.json"
record = json.load(urllib.request.urlopen(url))
columns = record["circuit"]["columns"]
k, N = record["parameters"]["k"], record["parameters"]["N"]

facts, problems = VC.derive(columns, k, N)    # gate, T-count, degree, ...
distance = VC.measure_distance(columns, k, N)  # exhaustive fault search
print(facts["gate_human"], distance["d_exact"] or distance["d_at_least"],
      problems or "verified")

Raw record

Show the JSON this page is built from

Source: master_catalog.json, factories[1260].