[[679, 185, 3]] magic-state factory, T0·T1·T2·T3·T4·T5·T6·T7·T8·T9·T10·T11...

The circuit

The 197\times679 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 \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| '
out 0 (247)	11···1·····111···11······11·1·1··1···1···1···1··1·11···1·11·1··1·······11·1··1···11···1····11···········111····1·111··1·1····1····1·1·1111······1111····11··111·1··1111·1····1····1····111·1·1·1·1·1·······11···11·1·1···11···1·····1···········11·1··1·11······111·1·11····1··1··11··1·11·····1·········11····11······1···1·111···1·11··111·····1·····1·1·1···1·1····1···1·1·1··11···11·1·1·1···1···1··1··1·11···1·11·1··1·········11·11···11·····1···11··········1·11··1·11·1··1·1····1···1··1·1111·······1111···11·1111·1111·1··1···1··111·1··11·1·1·······1··1···11··1·1···11··1···1····11·1·111·······11··1·111···1···1··11·1·11·1····1··········1·111·····1··1·11·1··1····11·1·11······1····1·11·
out 1 (255)	·····1·········1·11······11···11··1···1·1·1·1·11·1··1·1····11··1·······11·1··1···11·1···1·1·····1····1111··1·····111··1·1··11·1·1111·1··1··1····1·11···111··111····1·1·1·1··1··1·1··1·1··1·1·1·1·1··1·1·1··11···1·····11·····11·····11··1·······11·1··1·11······111·1···1·1···1·11···1·1···11··1·1·······1······1·11····1····111·····111·111·1···11···1·····1·········1········1·11···11···11·1···1·1·11·11·1··111····11··1·········11·11···11··1···1·1·····1··1·111···1···11·1··1·1··11·11111··1··1···1····1·11··111·111··1·1·1·11·1·1·11··1·1··11·1··111····1··1···1······11····11···111··11·1·111·······11··1·1··11····1·11··1·1·····11·1··1·······1···11·1···1···11·1·······1111·11···1··11··1····1
out 2 (231)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··1·1····1·11·········11··1····11··1111·11··1··1·1···1··1···1····11·1·1··11····1···11····1······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11·11···11···1··11····11·11··1······1··1···1····11··1···111·111···1·111······1····11··1···1··1····1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··1·1·····1·11·······1·1···1··11··1·111·11··1··11····1··1····1····11·11··11···1·11····1···1111···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1···11··11··1···11···11··1·1··1········1·1···111··1··111111····11··1·1········1···11·1···1·1
out 3 (263)	·1···1···1·11··1·11·····1···11···1··111·1·1·1·11·1··1··1111··11········11·1··11·1·····1··11·····1····1··111···1·1·11·11·1··11·1··1··1··1··11···11·11····11······1·····1·1···1··1·1··1··11·11·1·1111···1·1··11··1···1·1·1·····11·····1···1······1··11··1·11········11··11······1·111··1·1·1······1·11··1··1········1··1···1·11··1·····11··1111111··1····1····1····1····1··11·1··1·11··1···11··1··111·1·11·11·1··1··1111··11··········11·111·1·······1·11····11··1···1·11·1·1·1·1·11·1··11·1·1···1··1···111···1·11···11····1····1·1·1·1·1·1·11·11··11111··11····1··1··1····1·1·1····11···1·1·1··11·111···········11·11······1·111·1·1···1·····1····11·1·1····1···1··111···1·······11·1·11··1111·1···1···1
out 4 (247)	11···1···1··1··1··1···1·1·1·1111······1··11···1··11······1····11·····1··11···1··1···1·1·1·11····1···1·1·11····11······1···1·11···11·1·11···1······1··1··1····1····1···11·······1·11·1···1···1·····1·1·1···1·11·1·1·1·11··1·····1····11··1········11··11··1·····1·1·11·1···11···11··1···1·1·11·····11··1··1······1·11·1·111·111·11··1·1···1·1·111······11·1·····1·1····1··1··1··1··1·11·1·1111·····1··11··1··11······1····11········1·11·1··1····1··11·11····11···1·1·1··11·······1··1··11··11··1·11····1······1·1··1···1··1···11····1·111··1···1·····1·11····1···11·1·1··1·11··1·······111···11·11·1····1···1···111··11····11··1··1···1·11·······11·1·1···11·1·1111111··11·1····1··1··1···111····11·1··
out 5 (263)	11···1·····111···11······11·1·1··1···1···1···1··1·11···1·11·1··1·······11·1··1···111··1·1··11·······1···111······1····1·1····1······1·111·······1111···111··111·1··1·11·11···1···11····111·1·1·1·1·1·······11···11·1·1···11···1·····1···········11·1··1·11······11111·11···11··1··11··1·11·····1·11·1····11····11·1····11··1·111···1·111·111·········1·1·1·1·1·1·1····1···1·1·1··11···11·1·1·1···1···1··1··1·11···1·11·1··1·········11·11···111····11··11····1·····1·11····1·····1·1····1······1·111········1111··111·1111·1·11·11·1··11··111·1··11·1·1·······1··1···11··1·1···11··1···1····11·1·111·······11··11111··11···1··11·1··1·1····1··1··1·1··1·1111····11·1·11·1··1····1111·11·········1·1·11·
out 6 (31)	···················································································1·1··················1·········1···················1··1··················1············1·························································································1····1··················1······1··················1··1··················1·········1························································································1····················1········1····················1··1·················1··········1··············································································1···1···················1········1·············1·1····················1·········1······
out 7 (31)	···············································································1·········1··············1·········1···················1··1······················1····1···························································································1··········1··············1······1··················1··1····················1····1··································································································1·············1········1····················1··1····················1···1··············································································1··········1················1········1·············1·1························1···1········
out 8 (255)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11111····111········1··1·1······1·1111····11····11·1··11·11·····111··1···11·11··1·111·111······1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··1·1··1····1·····11··111···11··11··1··1··11·······1··1·11··111···1···1···11··1···1···1···1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···1111·1····111·····1····1··1····1·1·111···1·1···11·1···11·1·1·····111·1···1111·1111·111···1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1···1·1···1······11·111·····11·11··1··1·1·1·1··1···111·111····1·····1··1·1····1··1··1···111
out 9 (231)	·1···1·····11·····1···1·11··1··1········1···1··11··11····1··11·······1··11···11··1111·1·····1········11··1······111···1···11··1·····1·11··1····1··1··1··1·····1···11··11·1··11··········111·1···1···1··11·1·1···1··1·11···1··1······11··1······11····11··1·····11··1··1···1···1··11··11·11··1··11·1···1··11····1···1·1·1···1··111··1·1···1··1········111···11····1····1···1·1·····1·111··1··1·······1··1··11··11····1··11··········1·11·11··111·1··1····1······1·1···1····111····1··1·1··1·····1·11···1·1·····1·1··1····1·11··11·111·······111·1···1···1·1···1···1···1···1·11···1·1····111·11···11·1····1··1····1·1··1····1··11·11··1·1··1·11····1··1·1·11···1·11··1··1·11·1····1··1·····1······111··11
out 10 (263)	··1··1·····1···1·11·····111···11··1···1·1·1·1·11·1··1·1····11··1·······11·1··1···11·1·····1·····1····1111··1·····1·1··1·1··11·1·1111·1··11·1····1·11···111··111····111·1·1··1··1·1··1·1·11·1·1·1·1·11·1·1··111··1·····11·····11······1··1·······11·1··1·11······111·1···1·11··1·11···1·1···11··1·11······1······1·11·········111·····111·111·1····1···1·····1·········1···1····1·11··111···11·1···1·1·11·11·1··1·1····11··1·········11·11···11··1·····1·····1··1·111···1···1··1··1·1··11·11111··1··11··1····1·11··111·111··111·1·11·1·1·11·11·1··11·1·1111····1··11··1······11····11····11··11·1·111·······11··1·1··111···1·11··1·1·····11·1··1··1····1···11·1·······11·1·······1111·11···1···1··1····1
out 11 (255)	11·········1·1····1··1··1·1··········11······11····11···1·11··11···1····111·····111·1····111····1····11···11··1·1111·1111···111·1·1·111··1·1···1···1·1·1·11·11·····1·1111······1······11··1··1·1····1·1·1·11·1·111·1···1·1···11·····11··1······11····11·1·····1··1····1····1·····111····11·······11·1··········11·11·····1·1··111···11·1·11····1··1··1···1·11··1·1········1···1···11·1·1·········11·····11····11···1·11··11······1···111···111··1····111····1··1·1····111·111·1·1111···1111·1··111··1··11······11·1·1111···1·1111···1····11··1···11····111···11···1·111·11···1·1··11···111·11···111····1····1·····1···1······111····1·1·······1··1·1·····111·1····11··1·11····1·1·11·1······1·1·1···111
out 12 (263)	·····1·········1·11·····111·1·11··1···1·1·1·1·11·1··1·1··1·11··1·······11·1··1···1111·····1·····1····111···1···1·111··1·1··11·1·1111·11·11·1····1·11···111···11····1·1·1····1··1·1··1·1··1·1·1·1·1··1·1·1··111··11····11·····11······1··11······11·1··1·11······11111···1·11··1·11···1·1····1··1·········1······1·11·1·······111·····111·11··1···11··11·····1·········1········1·11··111·1·11·1···1·1·11·11·1··1·1··1·11··1·········11·11···111·1·····1·····1··1·11····1·1·11·1··1·1··11·11111··11·11··1····1·11··111··11··1·1·1··1·1·1·11··1·1··11·1··111····1··11··11·····11····11····11··11·1·111·······11··111··111···1·11··1·1······1·1··········1···11·1·1·····11·1·······1111·1····1··11·11····1
out 13 (263)	·1···1···1·111····1··1···1··111··11·1·1········1111·····1·11··11··1··1··111···1···1···1·1111········1·1···11··1111··1·····11·····1··11···1·1···1111··1·1·11···1·····11·········1····1·11··111··11·11··1·1·11·1···1···111·1···11·····11··1······11········1····1·1·111··11·111····11··111·1··········1····11·····1··1·1···1·1··1··1···1·1·11·111·······11·1·11····1····1··11·1·1···11··1··111·11·1·1·······1111·····1·11··11··11····1·111·1···1·····11111·····1···1····111111···1····1·1····1···11···1··11···111·1·1·11··1···11······1···111··111··11·11·11···11···1···1····111·1··11···111·11······1···1···1···111·11111·····11·111···1············1··1·1·1··1·1··11··1···1·····1·11·1···111·····11·111
out 14 (247)	11···1·····111···11······11·1·1··1···1···1···1··1·11···1·11·1··1·······11·1··1···111··1·1··11·······1···111······1····1·1····1··1···1··111·······111····11···11·1··1·11·1····1····1····111·1·1·1·1·1·······11···11·1·1···11···1·····1···········11·1··1·11······11111·11···11··1··11··1·11·····1·11·1····11····1··1··1·1···1·111··11·11··11············1·1·1···1·1····1···1·1·1··11···11·1·1·1···1···1··1··1·11···1·11·1··1·········11·11···111····11··11····1·····1·11····1·····1·1····1·1····1··111········111···11··111·1·11·1··1···1··111·1··11·1·1·······1··1···11··1·1···11··1···1····11·1·111·······11··11111··11···1··11·1··1·1····1··1··1·1··1·11·1···11··1·11·1··1····11·1·1············1·11·
out 15 (239)	·1···········1···11··11·1···1·1··1····1·11····11··11···1···1·11·1··1·1·11·····1·111·······1·····1···1······1··1··1···111··111·····1·11··1111····11·····1··1·1·····11··1·····1··1··1···1····11···11····1········111·1··11······1·····1···1······111·1··1·······11··1·1·11··11··11··1··1··11·11···1·1·1·1········11·······11·1·111····1111·1··11·1··1··11····1·····1············1··11111···1·1·1····1·11···11··11···1···1·11·······1·111···1·111········1·····11·········11··1····111·1·11····1··11··11·11····11····1··11···11··1···1·1··1·1····11···11···1···········111··1··11·····1···1·1·111·1·1·····11······1·111·11···11··1·1···1·1·11··1····1·11····11······111·11·1·····1·1111·····11·1·1·11···1·
out 16 (239)	·····1······1····1····1·11···1··1·1·1···11··1·1·11·1···11·1··1·1··11···1·11·····11·1··1··1·1····1·····1·1·1·····1··11·11····1···111·····111····1··1··1·1·1··1·1·1··1111··1··1·····1·1··1··1····1··1·····1·11·1·11····1···1···11······1·········1·1····1··1·····11·····1·1··11·11·1····111···1···111·1····11····11··1·1·······1·1·1··1·11··1··11···1····1·1··1·········1·····1····1··111···1···1·1···11·1·1·11·1···11·1··1·1···1··1··1·11···11·1····1·1·1····1····1·1··1···1···11·11····1··111······11·1·1·····1·1·1·1·1·11·1111··11····11·1··1····1··1···1···11···1·11·····1···1··11····1··1·1···1·1····1··1······1·1·11··11·1···11·1····1··1·1··1·1··1·111··1·1·····1··1·1···1··11··1····11··1···1·1·1
out 17 (47)	········1··1············1···1······················································1····1···············1·········1···················1··1··················1·······1···························1··1·········1···1·················································1·······1···············1······1··················1··1··················1·····1························1··········1···1····················································1·····1··············1········1····················1··1·················1·····1······················1··1···········1···1·········································1·····1·················1········1·············1·1····················1······1·········
out 18 (239)	·········1·1·1·1·1···1··11··1·1··11·11··1·1···1·1·1·1··111·1·1·1··1··1·1·1···1··1·1········1····1···111·11·1·····11·111·1·1·1·1······1·11·1······1·1·1·11·1···1·····1·1·1···1····1····1·1···11············1·11·1···11·11·1····1······1··1·······1·1···1·1·····1·1···1·1·1·1·1·1·1·1···1·········1111··1···1·····1·11···11···1·11·1····11···1·1·1······1··1·1·············11···11·1·1·11··1·1·11·11··1·1··1·1·1·1··111·1·1·1···1····11·1·1··1·1·········1····11·1·1·1·1·1···11··111·11··1·1······1·11··1······1·11·11·1··1···1·1·1·1···1··1·1···1·1···········1···11·1····1··11·1···1····11··1·1··11····1···1·····11·11·1··1·1·1··1··········1·1··11·1···1·11·1··11··1·1·1·1······11···1···1·1····1··11·
out 19 (231)	1··········1·····1····1···1···11·1···1··11···1·1··1·11·11·1··1·1·····1·1·11···1····11···11·1········111·1·1····11·11····1·11·11·1·1·····1·1····111·1·1···1··11··1·1·1··11···1·····1····1··1111·111··1···1·11·1···1····1··1···1·················1·1·1·1··1······1·1111··1··11··11·1·1·1······1···1·····1············1·1··1····1··1·····1···111····11···1··1··1··1··········1······1··1··1···111···1··11··1·1··1·1··11·1··1·1········11·11·1····1·1···11·1·····1·1·1·1··1··11·1·1····11·1·111·1······1··1·1···11·11···1·11·11·1··11·1····1··1··111·1111··1·1···11···1···1·····1··1··1········1·1·11·1·····1···1··111·1·11···11·1·11········1··1·······1········1·1·1···1···1·······1···11··1···11··1··1·1
out 20 (215)	1········1·······1····1·1·1····1·1···1··11···1·1··1·1··1··1··1·1·····1·1·11···1···1·1······1········111·1·1····11·11····1·11·11·1·····1·1·1····111·1·1···1···1··1····1·11···1·····1····1··1111·11··11···1·11·····1····1··1···1·······1··1······1·1·1·1··1······1·1··1··1··1·1·11·1·1·1······1···1·····1···········11····1····1··1·····1···1·1··1······1··1··1··1·········1·······1··11·1····11···1··11··1·1··1·1··1··1··1·1········11·11·1···1··1······1·····1·1·1·1··1··11·1·1····11·1·111······1·1··1·1···11·11···1··1·1···1·11·1····1··1··111·111··11·1···11·······11····1··1··1·····11·1·1·11·1·····1···1····1·1·1·1··11·1·11········1··1·······1······1·1···1···1···1·······1···1···1··1····1··1·1
out 21 (239)	11···1·····1·1·1·1···1··11··1·1···1·11··1·1··1·1·1·1··1·1·1·1·1········1·1···1··1·······11·1···········11·1···1·1····1·1···1·1··11·11··········11·1··1··111·1·1·1·····1·1···1····1··1··1·111·····1········1·11·1···1··11·1····1·····1··········1·1·1·1·1·1····1·1·1·1·1·1·11··1·1·11·1·111·11··1··1·1····1·····11····1·1·1·1·1··1···1·1··1·····1·1····1··1·1···1·1····1···1···11·1·1·11··1·1··1·11··1·1·1·1·1·1··1·1·1·1·1··········1·1·1··1········11·1··········11··1·1·1·····1·1···1·1·11·1·1········1···1·1·1··1111·11····1·1·1···1·1·1·111·····1········1···11·1····1··11·1···1···1···1·1·11··1···1···1···1·11·111···1·1·111·1·1·1·11·1·····1·1··1··11····11·11·1···1····1··1·1········11···1··11·
out 22 (255)	11·········1·1····1··1··1·1·1··1·····11······11····11·····11·111···1····111·····111·1····111····1····11···11··1·1111·1111···111·1·1·11·····1···1···1·1·1·11·11··1··1··111······1······11··1··1·1····1·1·1·11·1·11··1···1·1···11·····11·········11····11·1·····1··1····1····1·····111····11·······11·1··········11·11·1··11·1··111···11·1·11··1·1·····1···1·11··1·1········1···1···11·1·1·1··1····11·····11····11·····11·111······1···111···111··1····111····1··1·1····111·111·1·1111···1111·1··11······11······11·1·1111·1·1··111···1····11··1···11····111···11···1·11···1···1·1··11···11·111···111····1····1·····1···1······111····1·1·······1··1·1·····111·1·1·111··1·11····1·1·11·1····1·1···1···111
out 23 (239)	················1····11·1···1111·11···1·1········1111····1111111··1·······1··1···1111····1111·······11···111··1···111·1·······1··1···1111·11····11······111·····1·111111·1··11·1····1·1111·1···1·1111·1····111··1··1·····11·············1··········1·11·······11····1·111···1·1········11···1··1111···1········11·······11·····111·1······1···1······1···1······················1··111···111111···1·1·······1111····1111111···1········11···111·1····1111····1·1·····1111···1·11·1·······1·1····1111··11····11·····111···1111111·1111···11111·1···1·11111··1··1··11··1···1·····11········1·····111·····11········1111··1··1·······1·1····1·11·1··1··1····11······11·····1111·········1·····1····1···1··
out 24 (247)	1····1·····11···········111··111·11·11······111111111···1·········11·1········1·11··1·1·1·······1···11·········1··1·1·111·11111··11···1··1······1111···1·····11···1111111···········1······111··111·1··········111·1··1·······1·········1··········1·11·11······11111·111·1·1······1·1111········11·1·1··11····11·1··1··1······111··1··1···1111······111·······1······1···1·1········111··11111111·····111111111···1··········1··1·1·····1·11···1··11·······11·1·········1··1··1·1111·1111·11····1··1·······1111··1····11·1111111·······1·····11·1·111·1············111··1··1······1·····1·····11111·······11··1111111·1·······1111·1·········1··1·11·1·1111···1·1······111···1···1···1··111····111····
out 25 (239)	·1···1···1·1·1·1·········11·111·······1·111·1·········111111······11··········1·11·1····1·111·········11·111···1····11111·1·····1·1111111·······1111···1····111·1·11········11·1·11···111··111··1·1···1·1····1·11········11··1······11·············1·11·111·····111·1······1··11111······1·11····1··1····1······1··1···········111··1··1····1·1··········1·11····1····1··11···11······11·111······1·1111·········111111·······1··1·······1·11·1·····1·111········11··111·1·····111111·····1·11·11111········1111··1···111111······111·11·111··11·1·1·1··11········1·11·········11·1····11······11111·······11··1·1····1···11111·······1·11····1····1··1···1··1··········111···1···1······1·1········111
out 26 (255)	1········1··1··1·11··11·······11··1·11····1·11··11··1·1··11··11····1·1·11·····1·11·11·1··1·11········111111···11·111·111··1··11··1·1··11··1·····1·1····1·11·····1·11···111···1···1··1··11··11···1···1···1····1·11····1·1·11··11······1··········11·1··1·······11···11···1·······11·1··11···1····11····1···1········1·····1···111···11111···11··1·1···1·1·1··1··1·········1··1··1·1111······11·1·11····111··11··1·1··11··11·······1·111···1·11·1·1··1·1·11······1·111·11·11·11·1·111·1···11·1·1···11···1·····1·1···1·11···111···111·1··1·1·11··11···1···1·1········1·11·····1·1·11·11····1···11·1·1·····11·······11··1·······11·1·11·····1···1·1·····1···1····1····1··11·1··11·1·111···1··1··11··1·1·1·1
out 27 (247)	11·········1···1·11······11·1·11··1·1·1·1·1··1··1·11···1·11··11···11·1·11·1··1···1··1····11·········1···111···1·1···11·1··1··1··1·1·1··1·111···1·1······1··1111·1·1111·1····1··1·1·····11·1·1··1·1·11·1·1··11···11····1······1······1··········1··1··1··········11··1···1·111·1·11·1··1·11······1··1······1····1·····1··11·11···11··111····1···1··1··11·····1··1·1········1····1·11···11·1·11·1·1·1·1·1·1··1·11···1·11··11····1··1·111·11···1···1····11······1·····1·11·1·1····11·1·1···1·1·1··1··1·1·111····1·····1··11111111·1··1·1·1···11·1·1··1·1·1111····1··1···11·····1·····1····1···1··1·1··········11····1··1111··1·11·1·1··1·1·····1·····1·····11·····1·1111····11···1·11····1·····1·1·11····1
out 28 (255)	·····1···1·111·1·····11·····111······1···11·1····1111···111········1·1····1··1···11···1·11··········11··1111···11111·1·11·1···1·11···1·1·1·1···1·111····111·1···1·11·1··1········11·1·111·1·11·1··1·····1··11···1····111·····1·············1···1111·····11····11···11·····1····1111····11··11····1·11·1··1·····1·····1·11··1111·····1·····11··1···1··111···11·········1··11·1·11···11····111·····1···111····1111···111···········1·1···11···11·····111·······1·1···1·111·1111·1·1·111····111····1·1·1··11····111···1111··111·1··1·····111111·1·1·11··1···1····1··1···1·····111····1········1111···11···11·······11···1·····1111···1·1···11····1···111·1··1·····111·1111·······1······11····1··1·111··11
out 29 (263)	1············1··········111·111·····1·1·111··11111111···1···1111··············1·11·1····11111···1···11········1·1111·1·····1111··1····1·1·11···1·1·····1····111·1··1·1···1··11·1·11·1····11·····1111··1·1······11······1·11··11·········1······1111·············111·1······11·111111·1111······111·11·1···1····11····1·111··111····1···1····1·11··1··1···1·11··1··············1······111·111····1·1·111·11111111···1···1111··············1·11·1·····11111···11·1········1·111·1·1·····1111·1·····1·1··111····1····1···1111·1·1···1111·111···11·····1111·111·········11·······1·11·11·····1·1111············11··1·1····11··111111111·1······11·1···111···111····1111·111····1······1······1·11·1·1···111
out 30 (247)	1···········11····1···1··1··1··1········1····11··11···11··11··11··11····11···11··11·1·1··1··1···1···1··11·11··11··1111·11···11···1·1·1··1·······1··1·1·111··1·1·1··11·11·1··11········11···1·1··1··11···1·1·11··1··1·11···1··11··················111····1······11·····1···1·1·1··111···1···········1··1·········1·1··1·111··11···1··11·1···111·1·1···111···11··11···········1·1···1·1·1··1··1·······1···11··11···11··11··11···1··1···11·11··11··1··1·1··1···11····11··1111··1·111·11···11··1·1··1··1········1··11·111·1·11·11·11·111·····11···1··1·1··11·1···1···11··1···1·11···1·11·········111··1·····1··1······1··1·1··1··111··1···············1·1·····11···1111·11····1···1·1·1···1··11·11··111··11
out 31 (263)	·1···1······11····1··1······111··11·1·1·····1··1111·······11··11··1··1··111···1···1···1·1111········1·1···11··1111·111····11····11··11·····1···1111··1···11···1·1·1·11···1·····1····1·11··111··1111···1·1·11·11··1···111·1···1······11·········11··1·····1····1·1·111··11·111····11··111·1············1··11········1·1··11·1··1··1···1···11·1·11·····111·1·11····1····1·····1·1···11·····111·11·1·1····1··1111·······11··11···1····1·111·1···1·····11111·····1···1····111111··111···1·1···11···11······11···111·1···11··111·11···1··1···111··111··1111··11···11···1···1····111·1··1····11··11··1···1···1···1···111·11111·····11·111···1·············1·1·1····1·1·111··1···1·····1··1·1···1·11···111·111
out 32 (247)	1····1···1··1············11··111·11·11······111111111·········1···11·1········1·11111·1··1······1···11·········1··1·1·111·11111··11······1·1····1111···1····111···11··1111··········1······111··1·111········1·111·1·11·······1··············1·····1·11·11······11··1·111·11·······1·1111········11·1·1··11····11·1·····1··1···111··1··1····111··11···11·······1······1··1··1·········11··11111·11·····111111111·········1····1··1·1·····1·1111·1··1·1······11·1·········1··1··1·1111·1111·11·······1··1····1111··1···111·11··1111······1·····11·1·1·111··········1·111··1·11······1···········11111·······11····111111········1111·1·········1··1·11·1·1111·····1·1····111···1···1······111·11··11····
out 33 (247)	1····1·····111·1·1····1·1·1·1·1···1·1·1···1··1·1··1·1··1··1·1·1···11···1·11···1····1··1·111·1·······111·1·1···11·11·1·11···1·11···1···1·11·1·····11··1······11··1···1·1·····11·1·1·····1·1·····111····1···11·······1·1····1···1······1··1·······1·1···1··1·····1·1111·1·1···1···1·11·1······1··1·111·····1······1··1····11··1·11·1·11·1··1111··1·····1·11··1···1······1···1·1·11·1··11·1·1·1··1·1·1···1·1·1··1·1··1··1·1·1····1··1··1·11·1····1····1111·1····1·1·1·1··1·11·11··1·11···1·11··1····1·11··1·····11·1·····11·1··1·1···111·1···1·1·····111···1····11··········1·1····1··1····11··1·1··1·1····1···1··1111·1··1····1·111········1·1··1··11···1···1··1···11·1·1·1·11··1··1·1·11··1··1···1·1··1·
out 34 (231)	1····1···1···1···11··11·······1··1····1·11··11··11··1·1··11·1··1··1·····1·····1·11······1·1··········111111····11··111··1····11··1·1···11······1·111·····11·····1··1··1·····1··1··1·1··1111··1··1·····1······1·11··1··11·············1·········1··1··1··11····11····1·11··1···11··11··11···1···1···11····11········1·1·11··11···11·1·11····11·····1··11····1···1······1··1····1··1111······1·1····1·11·11··11··1·1··11·1··1···1······1···1·11·······1·1········1·111·11··11···111··1····11·1·1····11····1····111····11···1·1··1···1·1··11·1111···1·1····1·········1·11···1··11··········1··1··1·1·11·1·11········111·1····11··11·11·····1··1······11··1·1····1·111·11····111····11····1··1····1·11···1·
out 35 (239)	11·········111·1·····11·1···111·····11···11··1111·····111···1111··1·······1··1···1····1·11······1·····1·······11···1111····111··1·111····11·····1······1111·····1··111··11·······11······1·1···1·11·····1··111··1····11······11·····11··1··········1·11·······11··111·····1····11111·11··111···11·········1·····1··1·····1·1···111·····1··1···11·11···11···11··1·1········1·1·11···111···111····11···11·1111·····111···1111···1········11···1······111······1····1······11····1111····111·1·11·1····1·1·····1·····1111···1·111··11····11····1·1···1·11···1····1··11··1·····11·····11···111·····111·····11······111···1·····1111111····1·1··11···········1·1··1····11····111·······1··1·····1111··11··11
out 36 (271)	1··········111····1··1···1··111··11···1······11····11·1111··11·····1····111···1···1···1··111····1····1·111········11·1111···111·1··1··11111········1·1·1·11·1·1···11·1···1·····1········11···1·11111··1·1·11·1···1···11··1···11··················11··11·1·····1·1·111··11·1·1····111····1···1··11··11··········11·1··1··1··111·11···11·1·111111111···111·1·11··1··········1·1·1···11··1··111·11···1·····11····11·1111··11········1···111·1···1·····1·111····1··1··11·1······1·1·1111···1111··1···1111·1········11·1·111·1·11·1···1··1······11····111111·11···11···1···1····11··1··11·········11·111····1···1···111·111·1·····111····1····1·11·····11·····111···1·1·111··11····1·1·11·11··11111··111·111
out 37 (247)	1········1··1··1·11··11·······11··1·11····1·11··11··1·1··11··11····1·1·11·····1·11111·1····11········111·11···1··11···11··1···1·11·1···1··11····11········1·1···1·1111·11····1···1··1··11··11···1···1···1····1·11····1·1·11··11······1··········11·1··1·······11··111···1···1···11·1··11········1···1·····1··1··1··1·1···1·1·111····111··1··1··1··1····1·1··1··1·········1··1··1·1111······11·1·11····111··11··1·1··11··11·······1·111···1·1111·1··1···11······1·11··11·1··11····11·1····111·1····1···11····11·······11··11111·11··1··1·1·11··11···1···1·1········1·11·····1·1·11·11····1···11·1·1·····11······111··1··1····11·1·11·········1······1····1·1··1·1··11·11·1·····1·11·1·····1··1·1···1·1·1
out 38 (255)	11·······1··1····1···1··11····11·1····1··1··11·1·1·1··1···1··1·1··1··1·1·1···1··1···1·1·111·1··········11·1······1··1·1·1·11·1·111111·1··111·····1·1·1·1111·1·1·1···1··1·1···1·1··1·1··1····11·····11·1·1·1·11·1·1···1·1··1··11·····1···1·······1·1···1·1·····1·1·1·1··1····1··1·1·1·1·111·11···11·1············1·1····1···11·11·1····11·1·····1·11····1····1··1·1·······1··1····1·1·11····111····1··1·11·1·1·1··1···1··1·1···1····11·1·1··1····1··1111·1·········11··1····1···1·1·11·1·1·1111·1·1··1·11·····1·11·11111·11··1··1·1·11··11·1····1·1····1111···1···11·1·1····1·1··1·11···1·1··1·1··11····1···1···1·1·1···1···1·1·11·1·1·1·11··1·1···1·······11····1··11·1·1·1······111········111···1···1
out 39 (255)	11·········1···1·11······11·1·11··1·1·1·1·1··1··1·11···1·11··11···11·1·11·1··1···1·11···111······1··1···111···1·1···1··1··1··1····1·1·111111···1········11···11····1·1·1····1··1·1·····11·1·1··1·1·11·1·1··11···11····1······1······1··········1··1··1··········11·11···1·1·1·1·11·1·11·11······1··1··1···1····11······111·11···11·1111··11··1···11··11·····1··1·1········1····1·11···11·1·11·1·1·1·1·1·1··1·11···1·11··11····1··1·111·11···1·1·1···111······1·····1·11·1·1····1··1·1···1···1··1·1111·111··········11··11··1·1·1··1·1·1···11·1·1··1·1·1111····1··1···11·····1·····1····1···1··1·1··········11···11··11·1··1·11·111··1·1·····1·····1·1···111·····11111····111··1·11·1·1····1··11·11····1
out 40 (255)	1····1···1··1···········111··111·11··1······111111111···1·········11·1·······11·11··1·1·········1···11··1······1··111·111·11111··11···1·11······1·11·········11·1··1·1111···········1······111··1·111··········111·1·111······1·········1··········1·11·11······11111·111·111······1·1111··1·····11···1··11····11·1··1·11······111·11······11·11·1···111·······1······1··1··1········111··11111··1·····111111111···1··········1··1·1····11·11···1··1········11·1···1·····1··1·11·1111·1111·11····1·11·······1·11·······111·1·1111·······1·····11·1·1·111············111··1·111·····1·····1·····11111·····1·11··111111111·······1111·1···1·····1··1··1·1·1111···111······1111··1·······1··1·111··111····
out 41 (247)	1····1···1··1···········111··111·11··1······111111111···1·········11·1········1·11··1···········1···11·········1··1·1·111·11111··11···1··1······1111···1·····11·1··111111···········1······111··1·111··········111·1·111······1·········1··········1·11·11······11111·1111111······1·1111········11·1·1··11····11·1··1··1······111··1··1···11·11·····111·······1······1··1··1········111··11111··1·····111111111···1··········1··1·1·····1·11···1···········11·1·········1··1··1·1111·1111·11····1··1·······1111··1····111·111111·······1·····11·1·1·111············111··1·111·····1·····1·····11111·······11··111111111·······1111·1·········1··1·11·1·1111···1·1······111···1···1···1··1·11···111····
out 42 (239)	11···1·1····11···11··11·111·11·1··1··11·11···1··11··1··1···1·11···1····11·········111·1·111··········1··1··1··1··1··1···1····11·111·11····11······11······1·111········11···1··1··1·1·1······11···111·1······1·······1········1·····1···1·······11···1··11····1111······1··1··11··11··11·1··1···1·1···1··11·····1······1·1·1·11·11···11··1·1··11·1·····1···1···1·1····11····1·1··1111111·11·1·1··11·11··1··11··1··1···1·11····1·····11·······11·1··1111········1···1···11··1···1···1····11111··11·····11······11·····1111······11·1·1··111·······1···1111·········1········1·······1···1·1··11··1·11···11··11·······1·1···11··11·11···1··1··1····1··1·1·1·1·····1·11·11··11·····11·1··1····111····1··1·
out 43 (263)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····11·11·1··11···1···········11111·····11··11···11·1···1·11111·1·1·11······11···1111··11···1·1·11·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11·····111·1··111··1···1111····111·····11·1·1····1·····1···1·1·111·········11··1··111··1··1········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1··1·1···1········1·1·111····11··1·1···111····11111·1·1·1··11······11··1111·11·1·1·11······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11····1··11···1·111·1····1111···1·1·1····11····1·1··1··1···1·1111········1··1···1··11··1··1·1······11
out 44 (215)	1··········1·····1····1·1·1·1·11·1···1··11···1·1··1·1··1··1··1·1·····1·1·11···1·····1····1·1········111···1·····1·11····1·11·11·1·1···1·111····111·1·1···1···1··1·1··1·1····1·····1····1··1111·111··1···1·11··········1··1···1·······1··1······1·1·1·1··1······1·11·1··1··1···11·1·1·1·····11···11····1············1·········1··1·····1···1·1·······1·1··1··1··1··········1······1··11·1·1·111···1··11··1·1··1·1··1··1··1·1········11·11·1······1····1·1·····1·1·1····1···1·1·1····11·1·111·1····1·11·1·1···11·11···1··1·11··1·1··1····1··1··111·1111··1·1···11·············1··1··1·····11·1·1·11·1·····1···1··1·1·1·1····11·1·11·······11··1·1·····1········1·······1···1·······1···1···1·······1··1·1
out 45 (255)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1···1···1···········11111·····1···1····11·1···1·11111·1·1·1·······11···11·1··11·····1·11·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111····111··1···1111····111·····1111······1·····1···1·1·111·1···1···11··1·1111·····1········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1····1···1········1·1·111····1···1·····111····11111·1·1·1··1··1····11··11·1·11···1·11······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11·····111·1····1111···1·1·1····11·1··1····1··1···1·11111····1··1··1···11·11··1····1······11
out 46 (255)	1········1··1··1·11··11·······11··1·11····1·11··11··1·1··11··11····1·1·11·····1·11111·1····11········111·11···11·1·1··111·1··11··111··11··11····11········1·1···1·1111·11····1···1··1··11··11···1···1···1····1·11····1·1·11··11······1··········11·1··1·······11··111···1···1···11·1··11········111·······1·······11·····1·1·111····111··1··1··1··1····1·1··1··1·········1··1··1·1111······11·1·11····111··11··1·1··11··11·······1·111···1·1111·1··1···11······1·11··11·11·1··1··1111···11·111···11···11····11·······11··11111·11··1··1·1·11··11···1···1·1········1·11·····1·1·11·11····1···11·1·1·····11······111··1··1····11·1·11·········1·1··1···1··1··1·1····11·11·1·····1·11·1·····1··1·1···1·1·1
out 47 (263)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1·1·1···11··········1111······11··11·1·11·1···1·11111···1·11·····111····111·1111··1·1111·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····11111···111··11··1111····111·1···11·1·1·1··1·····1···1···111··········1·····1····1···········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1·1··1···11·······1·1·11·····11··1·1·1·111····11111·1···1··11·····111···111111·1·1111······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11··1··111·11···1111···1·1·1·1··11····1·11·1··1···1··111···········1······1······1········11
out 48 (247)	·1··········11·1·1···1····1··1·1·1··1···1·1···1·1·1·1·1·1·1·1·1···1··1·1·1···11··1··1·1··1·1····1···11·11·1···111·1·111·1·1·1·1···1·1·1·1······1·1·1·1·11·1··1····111··1····1····1·····1·11·11··1·1·1·····1·11··1····1···1····1·····1··········1·1····1·1·····1··1·1···1···11·1·1·1···1··1·11··1·1····1···1·····1·1······1·1·1·1·1····11····1·11·11··1·1·1·1·····1··········1·11·1·1···1··1·11··1···1·1··1·1·1·1·1·1·1·1·1····1····11·1·11··1···1··1·1·1····11·1··11··1·111·1··111·11··1·1··1··1·1·1····1····1·11·11·1·1··111··1··1···1···1·11·1·1·1·1·1·····1···11··1·····1···1···1···1···1·1···11····1····1···1··1··11··1·1·1··1····1·11·1··1·····1···1·111·····11·1··1·1······11······1·1111·1·1·11·
out 49 (231)	11···1·····1·1·1·1···1···1····1···1··1··1·1·11·1·1·1··1·1·1···1····1···1·1···1··1·······11·1···········11·1···1·1····1·1···1·1···1111·1·1······11·1··1··1·1·1·1·····1·1·11··1····1··1··1·111·····1········1·1··1·1·1··1··1··········1·······1··1·1·1·1···1····1·1·1·1·1·1·11··1·1·11·1·111·11··1··1·1····1·····1··1······1·1·1··1···1·1······1·1·····11··1·1···1·1····1···1···11·1·1··1····1··1··1··1·111·1·1·1··1·1·1···1·······1··1·1·1··1········11·1··········11··1·1·1·····1·1···1·1··111·1·1·1····1···1·1·1··1·11·1···1·1·111···1·1·1·111·····1········1···1··1·1··1··1··1·······1···1·1·11··1···1···1···1·11·111···1·1·111·1·1·1·11·1·····1·1··1··1·1······11·1···1····1··1········1·1···11··11·
out 50 (215)	11···1·······1·1·1···1···1··1·1···1··1··1·1·11·1·1·1··1·1·1·1·1····1···1·1···1··1········1·1···········1··1···1·1····1·1···1·1···1·11·1·1······11·1··1··1·1·1·1·····1·1·1···1····1··1··1··11·····1·1······1·1··1···1··1··1··········1··········1·1·1·1···1····1·1·1·1·1·1·1···1·1·11·1·111··1··1··1·1····1·····1·········1·1·1··1···1·1······1·1······1··1·1···1·1··1·1·······11·1·1··1··1·1··1··1··1·111·1·1·1··1·1·1·1·1·······1··1·1·1··1·········1·1··········1···1·1·1·····1·1···1·1··1·1·1·1·1····1···1·1·1··1·11·1···1·1·1·1···1·1·1··11·····1·1······1···1··1····1··1··1·······1···1·1·11··1···1···1···1·11·11····1·1·111·1·1·1··1·1·····1·1··1··1········11·1···1····1··1········1·1····1··11·
out 51 (239)	1··········1·1·1·····11··1111··1·11······11··1111·······1111······1·······1··11·1···1···········1········111···111·1111····111··1····111·······11······1111·111·····1·11·1·······11···111·11···11··11···1··111···1·1·········11················11111·11·······1111····111······11111·11·····1····111······1·····1······1····111111·····1··1·1·····1··1·····11··1··········1···11···11·11·1··111······11·1111·······1111·······1········111·1····1···········1········111·111··1111····111·1·····111·····1···1·····1111111···1·11·1····11·111·11···11··11·1····1··11···1··1········11·······1111111·····11··11·····111······1111111·······1····1··11·····1·1·····1···111·111·······1··1···1····1·1····11
out 52 (223)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··1·1····1111·········11··1····11···11··11··1··1·1···1··1·1·1····1··1·1··11····1···11·1··1······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11·11···11·····111····11·11··1·····11······1····11··1···1·1·111···1··11······1····1···1···1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··1·1·····1111·1·····1·1···1··11····11··11··1··11····1··1·1··1····1··11··11···1·11·1··1···1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1···11··11·····111···11··1·1··1·······11·····111··1··1·1111····1···1·1········1···1··1···1··
out 53 (231)	11···1·····1·1·1·1···1··11··1·1···1··1··1·1·11·1·1·1··1·1·1·1·1····1···1·1···1··1·······11·1···········11·1···1·1····1·1···1·1···1·11···1······11·1··1··1·1·1·1·······1·1···1····1··1··1·111·····1········1·11·1···1··1··1··········1··········111·1·1···1····1·1·1·1·1·1·11··1·1·11·1·111·11··1··1·1····1·····1·····1···1·1·1··1···1·1······1·1·1····1··1·1···1·1····1···1···11·1·1·11··1·1··1··1··1·111·1·1·1··1·1·1·1·1·1·····1··1·1·1··1········11·1··········11··1·1·1·····1·1···1·1··1·1·1···1····1···1·1·1··1·11·1·····1·1·1···1·1·1·111·····1········1···11·1····1··1··1·······1···111·11··1···1···1···1·11·111···1·1·111·1·1·1·11·1·····1·1··1··1·····1··11·1···1····1··1········1·11···1··11·
out 54 (31)	···················································································1····1···············1······1······················1······1··············1·······1······························································································1·······1···············1·····1···················1·······1·············1·····1····························································································1·····1··············1·····1·······················1····················1·····1···················································································1·····1·················1·····1················1·····1················1······1·········
out 55 (247)	1····1·····1·1···11·····1····1·1··1······1··11····11··1·1··1·11········11·1··11·1··11···11·11·······1·111··1··111··1·11·1····1··1·11·11···1····11111····1·······1······1·1···1····1···1···11·1·11·1·1······11··1·1····11·11······1···1·········1··11··1·11········1·····1·1·1··1··11··1·1··11···11·1··1··11····1··11·1·1·1··1··1···1·11···111111·1····1··1·1···1······1···1···1··11··1····1·1·1······1·11····11··1·1··1·11··········11·111·1··1·1···11·11····1···111···1111···1·11·1····1·1·11··11····1·1···1111···1·····1·····1·1·1···1·1···11··111·1·1······1··1··1·1·····11·11·······1··1··11·111···········1····11·1···1··11·1··1···11··1·1···1·1·1·11·1·1·11·1·1···1··1····11···11··11111···1··11·
out 56 (247)	·1···1·······1·1·····11·11··1··1·11·1····11·1····1111·11····1111···1·1····1··11·1··11···············1111······11··11·1·11·1···1·11111···1·11·····111····111··11···1···11·········11·1····1··11·11···1···1··11··1·1·1···1·····1······11··················11····1111·1··111······1111····111·1···11·1·1·1··1·····1···1···111··········1·····111··1·11········11····1····1·······11···1111··1··111·1····111····1111·11····1111······1·1···111·1··1·1············1·1·11·····11··1·1·1·111····11111·1···1··11·····111···111·11·1···11······111···1··1·111···1·1····1··1·11·1··1···1····1····11·········11···11··11···1·111······1111···1·1·1·1··11····1·11·1··1···1··111···········1······11··1··111······11
out 57 (255)	·····1···1·1···1·11····1111···11··1·1·1·1·1···11·1··1·1·1··11··1·······11·1··1···11·1···1·1·····1····1111··1·····11··11·1··11·1··111·1··········1111···111··111····1···1····1··1·1··1·1··1·1·1·1···11·1·1··1·1··1·····1······1·······1··········11·1··1·11······111·1···1·1···1·11···1·1···11··1·1··1·1··1········11···11··1·111···1·111·111·1···1···11·····1·········1··11····1·11··111···11·1·1·1·1·1··11·1··1·1·1··11··1·········11·11···11··1···1·1·····1··1·111···1···11···11·1··11·1·111··1···········1111··111·111··1···1··1·1·1·11··1·1··11···1111····1···1··1······1·····1·····1···11·1·111·······11··1·1··11····1·11··1·1·····11·1··1····11·1····1·1··11·1·11·1··1····1111·11···1··1··11····1
out 58 (239)	11·······1·····1·11··11··11··1···1·······11··1··11··1··1···11··1···1·1·11·········11·······11········1··1··1····1·1···11··1··11··1··111·1······111·····1·11·111······11······1···1··1·1··1111····111····1········1·1··11·111·1······1···1······1··11··1·······1111····11··11····11·1··11·1··1··1·1111·····1·······1··1··1··11··1····1111···1··11·····11··1··1··1·1·······1·····1·1111·11··1··1·······11·1··11··1··1···11··1······1·111·······11········11······1···1···1··1·1····11·1···11·1···111·1····1···11····1·11111····11····1··1·11··1111····111··1············1··1··11·11·1····1·1·1··11·1·····11··11·····11·11·····11·1·11···1··1·1··1··111····1··1···1·1·11···1·····1·111···1····11···11··1·1
out 59 (271)	·1···1······11····1··1···1··111··11·1·1········1111·····1·11··11··1··1··111···1···1···1·1111········1·1···11··1111·111····11·····1··11···1·1···1111··1·1·11···1·1·1·11·········1····1·11··111··1111···1·1·11·1···1···111·1···11·····11··1······11··1·1···1····1·1·111··11·111····11··111·1············1··11·····1··1·1···1·1··1··1···1·1·11·1·11······11·1·11····1····1·····1·1···11··1··111·11·1·1·······1111·····1·11··11···11···1·111·1···1·····11111·····1···1····111111··111···1·1····1···11···1··11···111·1·1·11··111·11······1···111··111··1111··11···11···1···1····111·1··11···111·11··11··1···1···1···111·11111·····11·111···1·············1·1·1·1··1·1··11··1···1·····1·11·1···1·11····11·111
out 60 (239)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11··1···1·11········1··1·1·········111····11····11111··11·11····111··1···11·11·····11·111······1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··11···1·····1····11··111···11··11·11··1··11·········1·······11···1···1···11····1·1···1···1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···11···1···1·11·····1····1··1········111···1·1···1111·1··11··11····111·1···1111···11·111···1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1··1··1····1·····11·111·····11·11····11·1·1·1···········11····1·····1··1·1······11··1···111
out 61 (279)	1········1·······1···1··1·1·11····1·111··1···1·1·1·1···111·11·1···1·11·1·1···11··11·····1·1·1·········1·11·1··111··1111·1·11·1··11···1·11··1···1·1·1·1·11·1·11··1·11·11·1····1·1··1·1·1·111·11··111···1·1·1·1···11·1··11··1··1·······1··1······1·1····1·······1··111··1·1·111··1·1·1·1·11······1·11·1·1········11·11···1·1···1·1·1····11···11111·11···1·····1··1·········1·······1·1·1·1·11···1·111··1··1·1·1·1···111·11·1····1····11·1·11··11······1·1·1········1·1·1·1111···1111·11·1·1·11····1·11···11····1·11·11·111·111·11·1··11··111·111·1·1·111··11···1···1···11··1··11··1·1·····11·1·1···1·····1····1··11·1·1111···1·1·11·1·1······1··1··1·11····111·1··1·1··1··1·1······11···1··111111··1····1
out 62 (31)	··················································································1·····1···············1···1·····················1········1······················1······1························································································1········1···············1···1··················1········1···················1·····1·······················································································1······1··············1························1··········1··················1······1·············································································1······1·················1··1···············1·······1························1···1······
out 63 (255)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1··11···11··········1111······1······1·1111···1·11111···111······111···11·1·111·····1111·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111·1··111··11··1111····111·1···111····1········1···1···1·1·1········1··1·11·1··············11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1··1·1···11·······1·1·11·····1·······1·111····11111·1···11·1······111··11·1111···1111······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11···1·111·11···1111···1·1·1·1··11·1·····1····1···1··1·11··········1···11·1···1···········11
out 64 (223)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··111····1111·········11·11····1···1·1··11··1··1·····1·1··1······1··1·1··1···1·1····1·1··11·····1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11··1···11······11····11·11·11····1·11·····1····1···1·111·1··11···1··11···1·11··1·1·······1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··111·····1111·······1·1·1·1··1···1··1··11··1··1·····1·1··1·······1··11··1··1·1··1·1··11··1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1····1··11······11···11··1·1·11····1···11····11···1·11·1·11····1···1·1··1··1··1··11······1··
out 65 (263)	11···1·····111···11······11·1·1··1···1···1···1··1·11···1·11·1··1······111·1··1···11···1·1··11·······1···111······111··1·1····1··1·1·1·111·······1111···111··111·1··1111·11···1····1····111·1·1·1·1·1·······11···11·1·1···11···1·····1···········11·1··1·11·1····111·1·11···11··1··11··1·11·····1·1·······11····1·······11··1·111···1·111·111·····1···1·1·1·1···1·1····1···1·1·1··11···11·1·1·1···1···1··1··1·11···1·11·1··1·········11·11···11·····11··11····1·····1·11····11·1··1·1····1·1·1··1·111········1111··111·1111·1111·11·1···1··111·1··11·1·1·······1··1···11··1·1···11··1···1····11·1·1111······11··1·111··11···1··11·1··1·1····1··1·······1·11······11·1·11·1··1····1111·11······1··1·1·11·
out 66 (239)	1····1·····111·1·1····1·1·1·1·1···1·1·1···1··1·1··1·1··1··1·1·1···11···1·11···1·······1···1·1·1·····111···1···11·11·1111···1·11···1·····11·1······1··1·······1··1····11······1·1·1·····1·1·····111····1···11·······1·1····1···1······1··1·······1·1···1··1·····1·11·1·1·1··1····1111·1·····11··1·111··1··1······1··1·1··11··1·11·1··1·1··11·1··1·11··1·1···1···1······1···1·1·11·1··11·1·1·1··1·1·1···1·1·1··1·1··1··1·1·1····1··1··1·11·1·········1··1·1····1·1·1····1·11·11··1111···1·11··1······11··1······1·1······1·1···11····11·1···1·1·····111···1····11··········1·1····1··1····11··1·1··1·1····1···1··1·11·1·1·····11111·······11·1··1··11·1·1···1··1·1·11·1·1·1·1···1··1·1·1···1··111·1·1··1·
out 67 (239)	·········1·11··1··1··1····1······11·1··1111····1111···11·1····11···1····111·····111···1·11··1·······1··111····1111·1··111··1····1111···11··1···1···1·1···11··1·····111···1··11···11·1···1·1··1·1·1········11···111···111················1······11····11·1·····1··1·····11·111·111····111····1·······1·1···1·············11·1··111···11···111···1·····111·················11·1··1··11···1·····11·1···111···1111···11·1····11······1···111···111·····111··1····1····11·1··1111··1··111··1···1111····11···11······11···11·1···111···111··111··1·1···11·1········11·····111····111···········1·11···111····1····1······11111··111···111······1·········11···1········111··1·11····1·1··1·11·····1···111····
out 68 (255)	·1···1···········1····1···1···11·1···1··11··1·1·11·1··1··1·11·1···11···1·11···1····11····1·1····1······1·1·1··1··1·11·11····1···111111111··1······1··1·1·1···1····1·1··11···1·····1·1·1·11·····111·11···1·11·1···1····1··1···11·····1···········111···1··1·····1·1111··1··1···11·1····1111·····1···11····11····11·1··1·1·1··1·11·1··1·11··1·11···11···1··1··1····1····1··········1··1··1···111···1··11·1·1·11·1··1··1·11·1··1·1··1··1·11·1····1·1····1·1····1·····1··1·11··1··11·11····1··1111·11111···1······1·1·1·1··1··1·1··11·1····111·11·····111·11·1···11···1···1·····1··1··11···1····111··1·1····1···1··111·1·1····11·1···11·1·1····1······11··1·1111···11·1·1·1·1·1···1··11··1···11··11··1··1·1
out 69 (255)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1··11···············11·11·····11··11·1·11·1···1·11111·1···11·····111····111··11···1···11·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111·1··111······1111····111·····11·1·1·1··1·····1···1·1··11··········1·····111··1·11········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1··1·1············1·1··11····11··1·1·1·111····11111·1·1····11·····111···111·11·1···11······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11···1·111······1111···1·1·11···11····1·11·1··1···1·1·11···········1······11··1··111······11
out 70 (247)	·····1···1·111·1·····11·····111·····11···11······11·1···1111·······1·1····1··1···111··1··1··········11···111····1111·1·11·1···1·11···111·1·1···1··11····1·1·······1111··1········11·1·111·1·11·1··1·····1··11···1····11······11················1111·····11····11····1·····11···1111····11···1······11·1··1·····1·······11··1111····11····11··11··11··111···11·········1··11·1·11···11····111····11···11·····11·1···1111··········1·1···11···111····1·1·······1·1·····111··111·1·1·111····111····111·1··11·····11···1·1····1111··1·····111111·1·1·11··1···1····1··1···1·····11·····11·1·····1111···11···11········1···11····1111···1·1····1········111·1··1······11·1111····1··1····1·1····11·11·111··11
out 71 (255)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1···1···1······1····1111······11··11···11·1···1··1111···1·11······11····111·111···1·1·11·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111····111··1···11111···111·1···11·1·1····1·····11··1···111·········11·····1·1··1··1········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1····1···1········1·1·11·····11··1·1···111····1·111·1···1··11······11···111111·1·1·11······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11·····111·1····11111··1·1·1·1··11····1·1··1··11··1··111········1··1······1···1··1·1······11
out 72 (271)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1·1·1···11··········1111······11··11·1·11·1···1·11·11·1·1·1···1··111····111·111······111·1·······11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····11111···111··11··1111····111·1···11·1·1·1··1·····1··11·1·111·1··1·····1·····1·1····1···1·····11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1·1··1···11·······1·1·11·····11··1·1·1·111····111·1·1·1·1··1······111···111111····111·1····111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11··1··111·11···1111···1·1·1·1··11····1·11·1··1·1·1·11111··1·······1······1···1···1··1····11
out 73 (215)	1··········1·····1····1·1·1·1·11·1···1··11···1·1··1·1··1··1··1·1·····1·1·11···1·····1······1········111·1·1····11·11····1·11·11·1·····1·1·1····111·1·1···1···1····1··1·11···1·····1····1··1111·111··1···1·11··········1··1···1·······1··1······1·1·1·1··1······1·11····1··1·1·11·1·1·1······1···1·····1···········11····1····1··1·····1···1·11········1··1··1··1··········1······1··11·1·1·111···1··11··1·1··1·1··1··1··1·1········11·11·1·····11······1·····1·1·1·1··1··11·1·1····11·1·111······1·1··1·1···11·11···1··1··1··1·11·1····1··1··111·1111··1·1···11·············1··1··1·····11·1·1·11·1·····1···1··1···1·1·1··11·1·11········1··1·······1······1·1···1···1···1·······1···1···11······1··1·1
out 74 (263)	·1··········11·1·1···1····1··1·1·1··1···1·1···1·1·1·1·1·1·1·1·1···1··1·1·1···11··1··1·1··1·1····1···11·11·1···111·1·111·1·1·1·1···111···11··1··1·1·1·1·11·1·11··1·1111·1·1··1····1·····1·11·11··1·1·1·····1·11··1····1···1····1·····1··········1·1····1·1·····1··1·1···1···11·1·1·1···1··1·11··1·1····1···1·····1·1··1··11·111·1·1····11···11111·1·····1·1·1·····1··········1·11·1·1···1··1·11··1···1·1··1·1·1·1·1·1·1·1·1····1····11·1·11··1···1··1·1·1····11·1··11··1·111·1··111·11··1·1··11·1···11···1····1·11·11·111·11111·1·11···1···1·11·1·1·1·1·1·····1···11··1·····1···1···1···1···1·1···11····1····1···1··1··11··1·1·1··1····1·11·1··1·····1···1·11···1·11111··1·1······11···1··11111····1·11·
out 75 (231)	1··········1·····1····1·1·1·1·11·1···1··11···1·1··1·1··1··1··1·1·····1·1·11···1····11···1··1········111·1·1·····1··1····1·11·11·1·1·····1·1····111·1·1···1··11··1·1·1··11···1·····1····1··1111·111··1···1·11··········1··1···1·······1··1······1·1·1·1··1······1·1111·····111·11·1·1·1······1···111···1············1·1··1····1··1·····1···111····11···1··1··1··1··········1······1··11·1·1·111···1··11··1·1··1·1··1··1··1·1········11·11·1····1·1·1·1··1·····1·1·1·1··1···1···1····11·1·111·1······1··1·1···11·11···1·11·11·1··11·1····1··1··111·1111··1·1···11·············1··1··1·····11·1·1·11·1·····1···1··111···111··11·1·11········1··1·1··1··1········1·1·1···1···1·······1···11··1···11··1··1·1
out 76 (247)	1··········111····1···1·11··1··1········1····1···11···11··11··11··11····11···11··1111·1··1··1···1···1··1··11··11···11··11···11···1·1·11·11······11·1·1·111····1·1··11·11·1··11······1·11···1·1··1···1···1·1·1···1··1·11···1··11·1················111····1······11··1··1···1·1·1··111···1···1······11············1·1····1·1··11···1·111·1····11·1·1···111···11··1··········1·1·1···1·111··1··1·······1···1···11···11··11··11···1··1···11·11··111·1··1·1··1···11····1···1111····11··11···11··1·1··11·11·······11·11·111···11·11·11·111····111···1··1·1···1·1···1···1···1···1·11···1·11·········111··1·····1··1····1·1··1·1··1··111··1·····1········11·······11····1·1·11····11··1·1·1······11·11··111··11
out 77 (231)	1··········111····1··1···1···11··11···1·····111····11·11·1··11·····1····111···1·······1···11····1····1·1·1·····1··1···111···111····1···11·11·······1·1·1··1···1················1········11···1·11111··1·1·11·1·······11··1···1··········1········11··11·11····1·1··11··11·1······111····1··11··111·1··1········1··1·········11·11···11·1··1·111··11···11·1·11··1··········1·1·1···11··1···11·11···1····111····11·11·1··11········11··111·1·········1··11····1··1··1··1···1··1····111···111···1····11··11·······11·1··1··1···········1······11····111111·11···11···1········11··1··1······1···11·1111···1···1····11·111·······111····1···11·11·1···1·1····1·1········11··11····1·1·1··1···111·11··11·111
out 78 (231)	1····1·····111·1·1····1·1·1·1·1···1·1·1···1··1·1··1·1··1··1·1·1···11···1·11···1·······1··11·1·······111···1···1··11·1·11·····11·········11·1······1··1···1···1·······11······1·1·1·····1·1·····111····1···11·······1·1····1···1······1··1·······1·1···1··1·····1·11·1·1·1··11···1·11·1·····11··1··11·····1·1····1·11·1··11··1·11·1··1·1···1·11·1·11··1·1···1···1······1···1·1·11·1··11·1·1·1··1·1·1···1·1·1··1·1··1··1·1·1····1··1··1·11·1·········1·11·1····1·1·1····1·1··11··1·11·····11·········11··1······1·1···1··1·····11····11·1···1·1·····111···1····11··········1·1····1··1····11··1·1··1·1····1···1··1·11·1·11····1·111·······11·1·····11···1···11·1·1·11·1·1·1·1···1··1···1···11·111·1·1··1·
out 79 (31)	························································································1······················1···1············1·····1················1····1··············································································································1····1················1··1···········1····1·················1···1········································································································1·····1··············1····1···········1······1················1···1·······························································································1·····1·················1····1······1····1··················1···1················
out 80 (279)	·1···1···1·11··1·11·····1···11···1··111·1·1·1·11·1··1··1111··11········11·1··11·1·····1·111·····1····1··111···111·11··1·1··11·1·11··1··11·11···11·11···111····1·1·····1·1···1··1·1··1··11·11·1·1111···1·1··11··1···1·1·1·····11·····1···1······1··11··1·11········11··11···1··1·11···1·1·1······1111·····1······1·1··1·1·1·11··1·····111·1111111··1····1····1····1····1··11·1··1·11··1···11··1··111·1·11·11·1··1··1111··11··········11·111·1·······1111·····1··1···1·11·111·1·1··1·1··11·111···1··11··111···1·11··111···11····1·1·1·1·1·1·11·11··11111··11····1··1··1····1·1·1····11···1·1·1··11·111···········11·11··1···1·11··1·1···1·····1·1··11···1···11···11·111···1·······1111·11·11111·1···1···1
out 81 (231)	·····1·····1·····1····1··1···1····1·1···11··1·1·11·1···11·1··1·1··11···1·11·····11····1····1····1·····1·1·1·····1··11·11····1···111·····111····1··1··1·1·1····1·1··11·1··1··1·····1·1··1··1····1··11·1··1·11···11··1·1···1···11······1·········1·1····1··1·····11··1··1·1··1··11·1····111···1···111·1····11····11··1·1·······1·1·1··1·11··11·11········1·1··1·········1···1······1··1·1···1···1·1···11·1·1·11·1···11·1··1·1···1··1··1·11···11······1···1····1····1·1··1···1···11·11····1··111······11·1·1·····1·1·1·1···11·11·1··11····11·1··1····1··11··1···11·····11···1·1···1··11····1··1·1···1·1····1··1····1·1·1·1···11·1···11·1····1··1·1··1·1··1·111··1·1·····1··1·1···1··11··11···11······1·1·1
out 82 (231)	·········1·1·1·1·1···1··11····1···1·11··1·1···1·1·1·1··1·1·1·1····1··1·1·1···1··1·1········1····1···111·11·1·····11·111·1·1·1·1······1·1·11······1·1·1·11·1···1···1·111·1···1····1····1·1···11············1·11·1·1·1··11·1····1······1········1·1·1···1·1·····1·1···1·1·1·1·1·1·1·1···1·········1111··1···1·····1·11········1·11·1····11···1·1····1···1··1·1·············11···11·1·1·11····1··1·11··1·1··1·1·1·1··1·1·1·1·····1····11·1·1··1·1·········1····11·1·1·1·1·1···11··111·11··1·1······1·1·1·1······1·11·11·1··1·1·111·1·1···1··1·1···1·1···········1···11·1·1··1··11·1···1····1···1·1··11····1···1·····11·11·1··1·1·1··1··········1·1··11·1···1·11·1······1·1·1·1······11···1···1···1··1··11·
out 83 (247)	·1···1···········1···1····1··1····1··11··1····1·1·1·1·1·1·1··1·1···1···1·1···11··111····1·1·1···1···11·11·1····1·11····1····1·1····11·····11····111·11··111·11·····1·11·11···1·1··1····1···1····1·1···1·1·1·11··1··1··1···1··1······1···········1·11·1···1····1··11···1·1·111··1·1····1··1·11···1·111·1··11·····1····1·11··11·1·1··1··1··1·11·1··11··11·····1····1····1··········1·1···1··1···1··11··1···1·1·1·1·1·1·1··1·1······1··1·1·11··111·····1·1·1···11·1··11··1··1·11·····1····1·1···1·1······11····111·1··11111···1·11·11·11··1··1···1····1·1··11···1···11··1···1··1···1·1····1····1·111··1···1····1··1··1·1111···1·1···1····1·11··1····1111·1·1·1····111·11·1··1·1·····1·1··1··1·1·11·11····1
out 84 (239)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11··1···1·11········1··1·1·········111····11·····111··111·11····111··1·1··1··1····111·111······1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··11···1·····1····11··111···11··11·11··1··1······1····1······11···1···1·1··11·····1···1···1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···11···1···1·11·····1····1··1········111···111····111···111··11····111·1·1··1·1··111·111···1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1··1··1····1·····11·111·····11·11····11·1·1···1····1····11····1·····1·1··11······1··1···111
out 85 (263)	·1·········1·····1···1····1··1····1··11··1··1·1·1·1·1·1···1··1·1···1···1·1···11··11·····1·1·1···1···11·11·1······1·1···1····1·1·1·111·1··111····111··1·1111·11··1··1111·11···1·1··1····1···1····1·11··1·1·1·11··1··1··1···1··11·····1···1·······1·11·1···1····1··111··1·1·111··1·1····1··1·11···11·1··1··11·······1····1···11·1·1··11·11·1·1111···1··11·····1····1········1······1·1···1··1···1··11··1·1·1·1·1·1·1···1··1·1······1··1·1·11··11······1·1·1···11·1··11··1····1··1···1····1·11·11·1·1··1·11····111·1·111111·1·1111·11·11··1··1···1·1··1·11·11···1···11··1···1··1···1·11···1·1··1·111··1···1····1··11·1·1111···1·1···1····1·11··1·1···1·1·1·1··1····1··11·1··1·1··1··111··1··111··1·11····1
out 86 (215)	11·······1···1····1···1···1··11··11··1··1···111··11·····11··11····11····11···1··1··1········1···1···1·1··1······11·11··11···11···1··1··11·1····11··1·1·······1··1····1··11··11······1···1111·1····1·····1·1·1··1·······1··1··1······11·········11··1····1······1·1··1··11··11·1··111···1·1··1··11···············1··1·······1··1··1··11··11·1··1··1·········11··1·1·······1····1···1·1··1··11·11··1··1··111··11·····11··11·····1··1···11·1··1··1·········1···11···1···1····11··11··11···11··1···1··11··1·1···1··11······1·1···1··1111····1··1111··1···1···1···1···1··1········1··1·1····11··11··1··1·····1···1····1·11·11··1··111··1···1··1·11·············1··1·····1··1···1···1·1··1··1····1·1·······11
out 87 (239)	11·········111·1·····11·1···111·····11···11··1111·····111···1111··1·······1··1···1····1·········1·····111·····11···1111····111··1·11111··11·····1······1111·····1··1····11·······11······1·1···1·11·····1··111··1····11······11·····11··1··········1·11·······11··111·····111··11111·11··1·····11·········1·····1··1·1···1·1···111·····1··1···11······11···11··1·1········1·1·11···111···111····11···11·1111·····111···1111···1········11···1······1········1····111····11····1111····111·1·11·111··1·1·····1·····1111···1·1····11····11····1·1···1·11···1····1··11··1·····11·····11···111·····111·····11······111···111···1111111····1····11···········1·1··111··11····111·······1··1·····11····11··11
out 88 (247)	1········1···1·1········111··11·····1·1·111·111111111···1···1111··············1·1111·····1111···1···11········111111·······1111·1·1···1···1····1·········1··111····1·····1··11·1·11·1····11·····1·11··1·1······111·····1·11··1··········1······1111·············11··1·······1·111111·1111······11··11·····1····1·11··1··11·1111··········1··1111·····1···1·11··1·········1····11·····111··11····1·1·111111111111···1···1111··············1·1111······1111···11·1········11111·1·······11111·1····1····1·1···········1·111··1·····1111·111···11·····1·11·11··········111······1·11·1······1·1111············11····1·····1··111111111·1······11·····11····11·1···1·111111············1·····1111···1···111
out 89 (263)	11·········1·1····1··1····1·1··1···1·11······11····11···1·11··11···1····111·····11111···1111····1····11·1·11··111111·1111···111·1···111····1···1···1·1·1·11··1·····111111······1······11··1··1·1····1·1·1·11···11··1··11·1···11·····11··1······11····11·1·····1··1·1··1··········111····11·1······1·1··········11··1····11·1··111···11·1·111···1·11··1···1·11··1·1········1···1···11···1·1··1····11·····11····11···1·11··11······1···111···1111·1···1111····1··1·1·1··1111111·1·1111···1111····111·····11······11·1·11·1···111111···1····11··1···11····111···11·····11···1··11·1··11···111·11···111····1····1···1·1··········111····1·1·1········1·1·····11··1···111··1·11····1·1·11·11·····111·1···111
out 90 (255)	·1···1···1·1·1·1·····11·111····1·1·······11·1····1111·11····1111···1·1····1··11·1·1·1···11··········1111······11··11·1·11·1···1·11111···1·11·····111····111·111······111·1·······11·1····1··11·111·11···1··11··1···1·········1······11··················11····11111···111··11··1111····111·1···11·1·1·1··1·····1···1···111··········1·····1·1····1···1·····11····1····1··11···11···11111····11·······111····1111·11····1111······1·1···111·1·1··1···11·······1·1·11·····11··1·1·1·111····11111·1···1··11·····111···111111····111·1····111···1··1·1111·11·1····1··1··1····11·······1····11·········11···11··11··1··111·11···1111···1·1·1·1··11····1·11·1··1···1··111···········1······1···1···1··1····11
out 91 (247)	1····1···1··11·1·1···1····1·11·1·1······1·1··1·1·1·1···1·1·1·1·1···1···1·1···11··11·1·1·1··1··········1·11·1···1·1···1·1···1·1···11··111111·····1·1··1·1111·11·····1·1·1····1····1··1·1·1··1····111·1·····1·11··11···1·1······1······1··········1·11·1···1····1··111···1······1·1·11·1·11·······1··11····1·····1···1·1·1····1·1·1···1·11·1·11·1······1·1·1·1···1······1··1··1·11·1·1···1·11·11·····11·1·1·1·1·1···1·1·1·1·1······1··1·1·11··11··1··11··1·········1·1·1·1·1·1····1·1···1·1··11···11111·1·····1·1·1·111111···1·1·1··1···1·11·1··1····111·1·····1···11··11····1·1·····1····1···1·111··1···1····1··11··1······1·1·111·1·1·······1·····11··1··1···1·11···1·1··1····1··111··1··1·1····1·1·11·
out 92 (271)	11···1···111············1···········1·······111111111·1111111111··11·1·············1····11······1···1111·111··1·111·1·111·11111··11111111·11···11111···1····1·····1··1···1··········1·11111111···111·········1·········1······1·····11·········11111·11·11·········1·······11······1·11111·11··111·11·1··11····11··1····11··111111··1··1···1···1··1··1·········1·1····1··11··········1··········1······111111111·1111111111···1··1·1··········1·····11······11·1·11··1111·111··1·1111·1111·111·11111··111···1111··1···1···1··1···1······11111111·1··111···········1··········1·····1···11··111111111············1·····11·······1111·1·1·11·11·1···111·1·111··1···11·111·111···1···1···1·····1·1·1······
out 93 (255)	11·········1···1·11······11·1·11··1·1·1·1·1··1··1·11···1·11··11···11·1·11·1··1···1··1····11·········1···111···1·1···11·1··1··11···1·1·111111···1·1······11··111····111·1····1··1·1·····11·1·1··1·1·11·1·1··11···11····1······1······1··········1··1··1··········11··1···1·111·1·11·1··1·11······1··1······1···111······111·11···11··111··111·1····1··11·····1··1·1········1····1·11···11·1·11·1·1·1·1·1·1··1·11···1·11··11····1··1·111·11···1···1····11······1·····1·11·1·1····11·1·1···11··1··1·1111·111····1·····11·111··111·1··1·1·1···11·1·1··1·1·1111····1··1···11·····1·····1····1···1··1·1··········11····1··1111··1·11·1·1··1·1·····1·····1·····111·····11111····11···1·11·1·11···1···1·11····1
out 94 (263)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1··11···11··········1111······11·1·1·1·11·1···1·11111···111······111····111··11···1·1111·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111·1··111··11··1111····111·1···11···1·1··1·····1···1···1·1·1········1·····111··1···········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1··1·1···11·······1·1·11·····11·1··1·1·111····11111·1···11·1······111···111·11·1·1111······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11···1·111·11···1111···1·1·1·1··11···1··11·1··1···1··1·11··········1······11··1··1········11
out 95 (247)	1····1···1··1····1·······11··111·11·11·······11111111···1·········11·1········1·11·11·1·········1···11··1·········1111111·11111·111···1··1······1·11·····1···11····1·1111···········1······111··1·111········1·111·1·11·················1··········1·11·11······111·1·111·111······1·1111··1······1······11····1··1··1··1······111·11····1·11111·1···111·······1······1··1··1····1····11··11111·11······11111111···1··········1··1·1·····1·11·1·1··1········11·1···1········1·1111111·1111111····1··1·······1·11····1··11··1·1111·······1·····11·1·1·111····1·····1·111··1·11············1·····11111·······11··1·1111111·······1111·1···1········1····1·11·1···1·1······1111··1····1··1··11111··111····
out 96 (231)	11·······1···1····1···1···1··11··11··1··1···111··11·····11··11····11·····1···1··1···········1···1···1·1··1······111111·11···11···1··1··1111····111·1·1··1···11··1····1··11··11······1···1111·1····1·····1·1·1··1·······1··1··1······11·········11··1····1······1·1·11··11··11·1··111···1·1··1··11·1···1·········1··1····1··1··1··1·111···1····1··1·········11··1·1·······1····1···1·1··1··11·11··1··1··111··11·····11··11·····1··1····1·1··1············1···11···1···1····111·111·11···11··1···1··111·1·1···11·11··1··11·1···1··1111····1··1111··1···1···1···1···1··1········1··1·1····11··11··1··1···1·1···1···11·11·11··1··111··1···1··1·11····1··1·····1··1···1·1··1···11··1·1··1·······1·1·······11
out 97 (263)	·1·······1·111·1·1···1··1·1·11·1·1······1·1·1·111·1·1·1···1·1·1···1··1·1·1···11··1·11·1·11·1····1···11·1··1···1·1·111·1·1·1·1·1···111····1·1···1···1·1··1·1·11··1·1111·1····1····1·····1·11·11··11111·····1·1···11···1·1·1··········1···1······1·1····1·1·····1··1·····1····1·1·1·1···1··1··1··1····1·····1·····1·1··1·111···1·1·1·1··1····11111·1···1·1·1·1·····1·······11·1·11·1·1·1·1·11·11······1·11·111·1·1·1···1·1·1····1····11·1·11··1·1·1··111·1····11·1··1···1·1·1·1·11·1·11··1·1··11·1····1··11······11··1·111·11111·1··1···1···1·11·1·1·11111·····1···1···11····1·1·1····1··1·1·1·1···11····1····1······1···1··1·1·1··1····1··1·1·······1····1·11···1111··1··1·11·····1····1··11111··1·1·11·
out 98 (31)	···················································································1····1···············1······1··················1······1·······················1·······1·························································································1·······1···············1·····1················1·····1·····················1······1························································································1·····1··············1·····1··················1·······1····························1··············································································1·····1·················1·····1············1·····1·························1····1······
out 99 (247)	11···1·····111···11··11··11·11·1··1·111·11··11··11··1··1···1·11···1····11·········1·1·1·1·1··········1·····1··11·11·11··1····11··11·111·1111······11······1··11······1·11···1··1··1·1·1······1····1·1·1·········1····1·1············1···1·······11···1··11····1111·1····1··11·11··11··11·1·11···11·······11··········1··11·1·11·11···11··1····11·11····1···1···1·1····1···1·1·1··1111·11111·1·1·111·11·11··11··1··1···1·11····1·····11·······1··1··11·1········1·······111·11··11··1····11·11··111·11·11······11·····1·11····1·11·1·1··111·······1···1·11············1·····1·1·········1·1··11··1·11···11··11···1···1·11··11··11·11···1·11··1·1·······1·1······1·111·11··11·····11·1·······1111···1··1·
out 100 (231)	·····1···1·1·1····1···1·1·1··11··11·11··1··11··11··11·11··11··11·····1··11···1··1···········1········1·1··11··1···11··1···11··1···11·11····1·····11··1·111··11··1·1·····1···11········11····1·····11····1·1·11·1··········1······················11··11··1·····1·1·11··11··11·1··11··11·1··1·····1·11·1··11····1········11·111·11····1·1······11·11··1·····11·········1··11···1···1·11·1··11·11·11··1··1··11··11·11··11··11········1·11·1··1············1······1··1···111···1·1··1··1·1··1··11··11·····1·····11·1·111·11·11·····1·11·····11····1·····11··1···1···11·1···········1············11·11·1····1···1···11·11·11··1··11·11··1···1·····1···111·1·11·······11111··11······1·1········1111·1····11
out 101 (231)	1····1···1···1···11··11·······1··1····1·11··11··11··1·1··11·1··1··1····11·····1·11······111··········111·11·····1·1·11··1····11··1·1··1111········11······1·······11·11·····1··1··1·1··1111··1··1·····1······1·11··1··11·············1·········1··1··1··11····11····1·11··1·1·11··11··11·······1·111·····11········1···1···11···11···11··1·111·1·····11····1···1······1··1····1··1111······1·1····1·11·11··11··1·1··11·1··1···1·····11···1·11·······111········1·11··11···1·1··11··1····11·1·1···1111·········11·····1····11·11···1·1··11·1111···1·1····1·········1·11···1··11··········1··1··1·1·11···11········111·1·1··11··11·11········1··1··11···1·1····1··1··11··1·11·····11·1··1··11·1···11···1·
out 102 (263)	11···1···1··············1···11······1·······111111111·1111111111··11·1············11·····1······1···11111111··11111·1·111·11111··1·111111111···11111···1····1········1··············1·11111111···1···········1···11····1······1·····11·········11111·11·11········11········1······1·11111··1··11··11·1··11····11·11·····1··111111··1··1···1······1············1·1····1··1···········1···11·····1······111111111·1111111111···1··1·1·········11······1······11·1·111·11111111··1·1111·1111·1·1·111111·111···1111··1···1······1··········11111111·1··1·············1···1······1·····1···11··111111111···········11······1·······1111·1·1··1·11·····111·1·1111·1····1·111·111···1···1···1·······1········
out 103 (247)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11111··1··11········1··1·1·········111····11····11·1···1111·····111··1···11·11·····11·111······1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··1·1··1···111····11··111···11··11·11··1··11·······1·····1··111···1···1···11····1·1···1···1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···1111·1·····11·····1····1··1········111···1·1···11·1····111·1·····111·1···1111···11·111···1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1···1·1··111·····11·111·····11·11····11·1·1·1··1·····1·111····1·····1··1·1······11··1···111
out 104 (239)	11···1·····1·········11·1···1111·11···1·1····1111·····111··········1·1····1··1···1111·····111·········11········11·····11·1111·····11·1·1··1···1··11····1·1·······11·111·1··11·1··········1·11·1·11·1·1····111··1··1·····11·········11··1······1111·····11····11····1·111·····1····1111··1·1······11·····11·······11·1·1···1111····11····11··11··1···1···1·····1·1····1···1········111···111111···1·1···1111·····111·············1·1···11···111·1·····111········11·······11······111·111····1·1·1·1···11·····11···1·1····11·111·1111········1·1·11·11·11·····1··11··1···1·····11······111·1111···11···11········1111·····1····111····1·1········11···1·1··1·1·11··1111····1··1····1·1····11·1··1···1··
out 105 (263)	····1····1··1··1··1···1·1·1··111······1··11·1··11··11·111·1111····11····11···1··1·111·1·1·11·········1·11·11····11··11·11··1··1·1·11·11·1·1····111·1·1·11····1··1···1·11·······1·11···11·11111····1·1·1···1·11·1···1·11··1····1·········1······11··1····1······1·11·1·1···11···11····11·1······11···1·1···1····11······1···1··1··1·111·1·1·1··1··1····11·1···············1··1··1··1·11·1··111·····1··111··11··11·111·1111·····1··1···11·1··1·11·1··11·11·······1··11··11··11···11·11··1··11·11··11·1··1·1···11·11·11···1·1··1·11····1·11·11·1111·1···1·11····1···11·1····1·11··1···1·····1·11··1··1·····1···1··1·11··11····11···11··1······11······11···111·····1··1··1···11··1·1·11··1····1·1···11·1··
out 106 (239)	1····1···1·11···········111··111·11·11·······11111111···1·········11·1········1·11··1·1·1·······1···11············111·111·11111·111······1······1111·····1··111····111111···········1······111·11·1·1··········111·1·11·················1··········1·11·11······11111·111·1·1······1·1111·········1···1··11····1··1·····1······111··1····1··1111·····111·······1······1·111·1········111··11111·11······11111111···1··········1··1·1·····1·11···1··11·······11·1············1·11·1111·1111111·······1·······1111····1·111··111111·······1·····11·111·1·1············111··1·11············1·····11111·······11··1111111·1·······1111·1············1··1·1·11·1·····1······111···1····1·····1111···111····
out 107 (255)	·1··········11·1·1···1····1··1·1·1··1···1·1···1·1·1·1·1·1·1·1·1···1··1·1·1···11··1·11·1····1····1···11·11·11··111···111·1·1·1·1···111·1·11·····1·1·1·1·11·1·11····1111·1····1····1·····1·11·11··1·1·1·····1·11··1····1···1····1·····1··········1·1····1·1·····1··1·····1···1··1·1·1···1··1·11·11·11···1···1·····1·1·····11·1·1·1·1····11···11·11·1···1·1·1·1·····1··········1·11·1·1···1··1·11··1···1·1··1·1·1·1·1·1·1·1·1····1····11·1·11··1·1·1··1···1····11·1··11··11111····111·11··1·1··11·1·1·11···1····1·11·11·111··1111·1··1···1···1·11·1·1·1·1·1·····1···11··1·····1···1···1···1···1·1···11····1····1······1··1···1·1·1··1····1·11·1··1··1··1···1·11·····111·1··1·1······11···1··1·111··1·1·11·
out 108 (239)	11·········11····1····1··1···1····1·1···11···1·1··1·1···11·11·1······1·1·11·····11····1··1·1········11·111·1··1··111····1·11·11·1·1111·1········11·1·1···1····1····1··1··1··1·····1···1·11·111·1··11····1·11···11··1·1···1···1······1·1·1·······1·11·1··1······11··1··1·1··11·11·1·1·1···1·1···1··11··1···········1······1·11·1·1·····1···11··1··1·····1·1··1··1·1········1·1····1··1·1···1···1·1···11··1·1··1·1···11·11·1·········11·11···11······1·1·1·····1·1··11·1·11··11·1····11·1·111·11·11·1·········11·11···1···1··1··1··11····1·1·11·11·11··11··1···11·····11···1·1···1··1····1·1··1·111·1·····1··1····1·1·1·11··11·1·11·····1·1··1·····11·1······1······111·1··1·······1···11····1·1····1·1·1
out 109 (247)	·1·······1·11········11··11·1········11·1···1····1111·11··········1·······1··11·1·11··1···1111······11111······11111111·······1··1·11····1·····11·······1·1··11·1·······1···11·1····1·····11···111·1··1····111·1·1···111·11···1·····11·········11111·11·······111111······111·11·······111·······1·1···········11·11····1···111111·······11111·······111·1·······1·······11·1······11·11·1·······11·1··1····1111·11···········1········111·1·11····1··111····1·1·111·····1111·1111·······1·1·1·1····1···1···1······1·1·111······1·111···1····11···111·1·1·····1··11·1·1····111·11··1···11··1111111·····11··11··11····111··11······1·1·1·······1···1······111·1···1··111·111········1·11··11·····111·1··
out 110 (263)	·1···1···1·11··1·11·····1···11···1··111·1·1·1·11·1··1··1111··11········11·1··11·1··1··1··11·····1····1···11···1·1·11··1·1··11·1·11··1·111·1····11111····1···1·······1·1·1···1··1·1··1··11·11·1·1111···1·1··11··1···1·1·1·····11·····1···1······1··11··1·11········1···11······1·11···1·1·1·1····1·11·····1······1·1····1·1··1··1·1·1·11···1·1·11·11····1····1····1····1··11·1··1·11··1···11··1··111·1·11·11·1··1··1111··11··········11·111·1··1····1·11·····1··1·····11·1·1·1·1··1·1··11·111···1·111··1·1··11111···1··1·····1·1·1·1·1·1·1·11·11··11111··11····1··1··1····1·1·1····11···1·1·1··11·111···········1··11······1·11··1·1···1·1···1····11···1···11····1·1·1···1·11····11···1···1·1111···1···1
out 111 (255)	11···1···1··1··1··1···1···1··111····1·1··11·111··11·····11····11·····1··11···1··1··11·1·1111····1··11·1·11····1···11··1···1·11··111·1·11··········1··1··11···1····1·1·11·······1·11·1···1···1·····1·1·1···1·1··1···1·111·1····1·····11···········11··11··1·····1·1··1·1···111··11··1·····1·11····1·11·1··1········11·1·111··11·11··1·1·····1·111·1····11·1·····1·1····1··1··1··1··1·1··1··111···1·1··11111··11·····11····11········1·11·1··1··1·1··11111····11···1·1·1··1···1·1··1··1··11·111··1·11···········1·1··11··1··1·1·11····1·111··1···1·····1·11····1···1··1····1·111·1···1···11····11·11·1····1···1····11··111···11··1······1·11····1···111·1····1·1·1111·11··11·1····1·····1···1111···11·1··
out 112 (239)	1········1···1·1·1····1·11··11·1·1···11···1···1·11·1···1··1·1·1······1·1·11·····11·11·····1·1···1·····1·1·1···1··1·1····1·1·1···11····1·1··1····11·1·1···1····1·1··1·1·11····1·1·1·11··1·1·111·1·11·1·1···11·1·111····1···1···1······1··1·······1·11·1··1······11······1··1·1···1·1···111···1··1···1··1···1····11·11·····1··1·1·1·····1···11·11·······1····1···1·········1····11·1··111··11·11···11···1··1·11·1···1··1·1·1·········11·11···11·1·1·····1·1···1····1·1··1·1··1··1····11··1··11·····1·1···1····11·11···1···11·1·1·11··11·1·1·1·1·11·11·11·11····11···1·111·····1···1··1····11··1·111·1·····1··1·······1·1·1····1·1··11·1····1·1······1·1···1111·1····1·1·1··1·······1···11···11·····1···1·
out 113 (239)	············11···11··11·111··1·1··1··11·11····11··11··1·111·1··1···1·1·11··········11·1···1·····1···1·11111····11·1···1···111·····11···1·1·1···111·······11··11···1·11·11···1··1··1····111111·····111·1······1···1···1········1······1··1······1··11··1·······11111·····1···1·11··1··1··1··1···1··111···1······11·11·1······1··1····111·······1···1····1···1················1·1··1111111··1·1·1··11·11···11··11··1·111·1··1······1·111········1·1··1··1·····11···111·11··11·1····1··1·11····11····1·1··11···11······11·11·1·11·11·1·1··1··111111·····1111·········1···1····1·······1····11·1··11·1·····11··11··1····1··1··11··1·1···1···1··1·····111·····111·1·1····1···1·····1·11·········1··1···1··1·
out 114 (239)	·········1·1·1·1·1····1··1··11·1·1··111···1·1·1·11·1···11·1·1·1······1·1·11·····11·11····11·1···1·····1·1·1···1··1·1·1··1·1·1····1····1····1····1··1·1···1····1·1··1···111···1·111··1··1·1·111·1·1111·1···11···111····11··1··········1··········1·11·1··1······11······1··1·····1·1···111···1··1···1······1····1··11···1·1··1·1·1··1··1···11·11···1··11··················11···11·1··1·1··11·11··111···11·1·11·1···11·1·1·1·········11·11···11·1·1····11·1···1····1·1··1·1··1··1·1··11··1···1·····1·····1····1··11···1···11·1···111·11·1·1·1·1·11·11·11111····11·····111·····11··1·······1···1·111·1·····1··1·······1·1······1·1··11·1····1·1······1·····11·1·1··1·1·1·1··1·1·····1···11···11··1·11·····
out 115 (255)	·········1·1·1·1·1····1··1··11·1·1··111···1·1·1·11·1···11·1·1·1······1·1·11·····111·1····11·1···1·····1·1·1···1··1·11···1·1·1···111·····1·······11·1·1······1·1···111··111···1·1·1··1··1·1·111·1·1111·1···11···111····11··1··········1··········1·11·1··1······11·11···1··1·····1·1···111···1··1···1·11···1····11··1·1···1·11·1·1·····1··11···11·11··11····1·············11···11·1··1·1··11·11··111···11·1·11·1···11·1·1·1·········11·11···111··1····11·1···1····1·1··1·1··1··11···11··1··111······1········11·11·····1·1·111··111·11·1·1·1·1·11·11·11111····11·····111·····11··1·······1···1·111·1·····1··1···11··1·1······1·1··11·1····1·1······1·1···111··1·1··111·1··1·······1·1·1·····1111·11···1·
out 116 (239)	11·········111·1·····11·1···111·····11···11··1111·····111···1111··1·······1··1···1·1··1·1·······1·····11······1····1111····111··1··11····11·····1······1111········111··1········11······1·1···1·11·····1··111··1····11······11·····11··1··········1·11·······11··1·1·····1·1··11111·11··1·1···111········1·····1·11·······1···111·····1··1··111·11··111···11··1·1········1·1·11···111···111····11···11·1111·····111···1111···1········11···1·1····11·······1····11·····1·····1111····111·1··1·1····111·····1·····1111·····111··1·····11····1·1···1·11···1····1··11··1·····11·····11···111·····111·····11······1·1···1·1···1111111····1·1··11·1·········1·11·1·····1····111·······1··1····11111·111··11
out 117 (247)	1··········11··1·11··11·1·····11··1·11····1··1··11··1·1·111··11···11·1·11·····1·11··1·1·11·11········111·11···1··11···11··1··11·1111··11··1·····11·······11·····1··1···111···1···1··1··11··11···11·11···1······11····1·1·11··1·······1··1·······11·11·1·······11····1···1··1····11·1··11········1···1·····1·····1·11·····1···111····111····11····1···1·1·1··1··1··········1·1··1·11111·····11·1·11····1·1··11··1·1·111··11····1··1·111···1·11···1··111·11······1·11··11·1··11····11·1···111111···11···1·····11······11···1·1···111·1··1·1·11··11···11·11·1··········11·····1·1·11·1·····11··11·1·1·····11········1··1·1·····11·1·11·········1······1····1·11·1····1··11·1·····1·11····1··1···1··1·1·1·1
out 118 (255)	11···1·····1············1············1······111111111·1111111111··11·1··················1·······1···11111111··11111·1·111·11111··1·111111111···11111···1····1···1·1··1··············1·11111111·····1·········1··········1·····1·····11·········11111·11·11·················1·······1·11111··1··11··11·1··11····11·11·····1··111111··1··1···1·1·1··1············1·1····1···1··········1···········1·····111111111·1111111111···1··1·1················1·······11·1·111·11111111··1·1111·1111·1·1·111111·111···1111··1···1··11··1··········11111111·1····1···········1················1···11··111111111··················1········1111·1·1··1·11·····111·1·1111·1····1·111·111···1···1···1···1·1·1········
out 119 (239)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11··1····111········1··111········111·····11·····111···11111····1·1··1·1··1··1····11·1111······1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··11···1····1·····11··1111···1··11··1·····11·····1·······1···11···1·1·1·1··11······1··1···1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···11···1····111·····11···11·1······1·11····1·1····111····111·11····1·1·1·1··1·1··11·1111···1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1··1··1···1······11·111·1····1·11·····1···1·1·1······1··11····11····1·1··11·······1·1···111
out 120 (231)	1··········1·····1····1·1·1·1·11·1···1··11···1·1··1·1··1··1··1·1·····1·1·11···1····11···11·1········111·1·1····11·11····1·11·11·1·····1·1·1····111·1·1···1··1·····1·1··11···1·····1····1··1111·111··1···1·11··········1··1···1·······1··1······1·1·1·1··1······1·1111··1··11··11·1·1·1······1···1·····1···········11····1····1··1·····1···1111···11···1··1··1··1··········1······1··11·1·1·111···1··11··1·1··1·1··1··1··1·1········11·11·1····1·1···11·1·····1·1·1·1··1··11·1·1····11·1·111······1·1··1·1···11·11···1·1···1·1··11·1····1··1··111·1111··1·1···11·············1··1··1·····11·1·1·11·1·····1···1··111·1·11···11·1·11········1··1·······1······1·1···1···1···1·······1···111·11··11··1··1·1
out 121 (255)	·····1······1····11··1··11····11·1····1··1··1·1·1·1·1··111·11·1····1···1·1···1··1··11·1·111·1···1···111·11·1··1·1·11·1·1····1·1·1·1··1·111·1···1111··1·11·1···1······1·1·1···1·1··1···1·1111·····1·11·1·111·11·1·1···1·1··1··11······1··1······1·1·1·1···1····1·1·111··1····1··1·1····1········1·········11········1···111···1··1··11·11···1·1·1·······1····1·········1·····1····111·11····111····1··1·1·1·1·1·1··111·11·1·······1··1·1·1··1··1·1··1111·1···11·1·1·1·1·11·1·1·1·1·1····1·11·1···1·111··11···111·1·11·1··1····1·1·1·11··1·1·1111·····1·1111···1···11·1·1····1·1··1·11····11·1·1·11··1···1···1···111·1···1···1·1···1·········1··········1·1····1··111··1···1·1··1··11···1···1·1·····1···1
out 122 (239)	11···1···1···1·1·1···1··11····1···1·11··1·1·11·1·1·1··1···1·1·1····1···1·1···1··1·11·······1···········11·1···1·1····1·1···1·1···1·11···1··1···11·1··1··1·1···1·1·1··11·1···1····1··1··1·111·······1······1·11·1·1·1··11·1··········1···1······1·1·1·1···1····1·1··11·1·1·1·1·1·1·11·1·111·11··1··1·1····1·····1···1·1···1···1··1···1·1····1·····11···1··1·1···1·1····1··1····11·1·1·11····1··1·11··1·111·1·1·1··1···1·1·1·······1··1·1·1··1·11········1··········11··1·1·1·····1·1···1·1··1·111···1···11···1·1·1··1·1··111··11·1·1···1·1·1·111·······1······1···11·1·1··1··11·1·······1·1·1·1·11··1···1···1····111·11·1··1·1·111·1·1·1·11·1·····1·1··1··1···1·1··1··1···1····1··1····1······11··1··11·
out 123 (255)	11···········1····1··1··1·1·1··1·····11······11····11···1·11··11···1····111·····11111···1111····1····11···11··1111·1·1111···111·1···11···1·1···1···1·1·1·11··1·····111111······1······11··1··1·1···1··1·1·11·1·11··1···1·1···11·····11··1······11····11·1·····1··1·1··1··········111····11··········1··········11··1·1···1·1··111···11·1·111···1·11··1···1·11··1·1·········1··1···11·1·1·1··1····11·····11····11···1·11··11······1···111···1111·1···1111····1··1·1····111111··1·1111···1111····11···1··11······11·1·11·1···111111···1····11··1···11···1·11···11···1·11···1···1·1··11···111·11···111····1····1···1·1··········111····1·1············1·····11··1·1··11··1·11····1·1·11·11·····111·1···111
out 124 (255)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··1··1··11····1··········11111·····11···1·1·11·1···1·11111·1·1111·····111····111··11······111·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111·1··111···1··1111····111·····11···1·1··1·····1···1·1·1·1··········1·····111····1·········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···11··1··1·1····1·······1·1·111····11····1·1·111····11111·1·1·11·11·····111···111·11····111······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11·111···1·111··1···1111···1·1·1····11······11·1··1···1·11·1···········1······11··1···1·······11
out 125 (223)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··1·11···1111·········11··1····1·····1··11··1··1·····1·11·1·1····1··1·1··1·····1····1·1··1······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11·11·1·11······11····11·11··1····1111·····1····1···1·1·1·1·111···1··11···1··1··1·1···1···1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··1·1·1···1111·······1·1···1··1······1··11··1··1·····1·11·1··1····1··11··1····1··1·1··1···1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1···11··11······11···11··1·1··1····1··111····11···1·11·1111····1···1·1··1·····1··11··1···1··
out 126 (271)	1··1·····1·1·····1···1····1·11····1·111··1···1·1·1·1···111·11·1···1··1·1·1···11··111·····11·1·········1·11·1··111··11·1·1·11·1··11···1·11··1···1···1·1·11·1··1··1·111·1·1····1·1··1·1·1·111111··1111··1·1·1·11··11·1··11··1··1·······1··1······1·1····1·1·····1··11···1·1·1····1·1·1·1·11······1·11·1··········11·11···1·1···1·1·1·1··11····1111······1·····1··1·········11······1·1···1·11···1·111··1··1·1·1·1···111·11·1····1····11·1·11··111······11·1········1·1·1·1111···11·1·11·1·1·11····1·11···11······11·11·1·1·1111·1·1··11··111·11111·1·1111·11···1···11··11··1··11··1·1·····11·1·1···11····1····1··1··1·11·····1·1·11·1·1······1··1··1·1·····111·1··1·1··1··1·11·····11······1111····1····1
out 127 (207)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··1······1111·········11·······11····1··11··1··1·····1··1·1······1··1·1··1·····1···1111··1······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11·1····11······11····11·11··1·····111·····1····1···1···1·1··11···1··11···1··1········1···1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··1·······1111·······1·1······11·····1··11··1··1·····1··1·1·······1··11··1····1·1111··1···1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1···1···11······11···11··1·1··11······111····11···1··1·1·11····1···1·1··1·····1······1···1··
out 128 (247)	1····1·····111·1·1····1·1·1·1·1···1·1·1···1··1·1··1·1··1··1·1·1···11···1·1····1···11··1·111·1·······111·1·1···1··11·1111···1·11·1·1···1··1·1·····11··1······11··1···111······1·1·1·····1·1·····111····1···11·······1·1····1···1······1··1·······1·1···1··1···1·1·1·11·1·1···1···1·11·1······1··1··11··1··1·········1···111··1·11·1·11·1··1111··1··1··1·1···1···1······1···1·1·11·1··11·1·1·1··1·1·1···1·1·1··1·1··1··1·1·1····1··1··1·1··1···11····1111·1····1·1·1·1··1·1··11··1111···1·111·1····1··1··1·····11·1·····11·1··111····11·1···1·1·····111···1····11··········1·1····1··1····11··1·1··1·1····1···1···111·1··1····1·111········1·1·····11·1·1······1··111·1·1·1·11··1··1·1·11··1··1·1·1·1··1·
out 129 (247)	1··········1·1·1······1·111·111·······1·111··11111111···1···1111··············1·1111·····1111···1···11········11111··1·····1111·11······1·11···1·1·······1···11·1··1·1······11·1·11·1····11·····111···1·1······11········11··11·········1······1111·············11··1·······1·111111·1111······11··1··1···1····1·······111··111····1·····1·11·11··1······1·11··1··········1···11····1111·111······1·111·11111111···1···1111··············1·1111······1111···11·1········11111···1·····111111·······1··111····1······1··111·1·1····111·111···11·····111··11······1···11·········11·11·····1·1111············11····1·····1··111111111·1······11·····1·1···11······111·111····1·······1··1··1·11·1·····111
out 130 (255)	·····1······11·1···············1·11·111·111·················1111··11·1············111·1·11111·················1·11··11111·1·····1·1···1·1111···11·11·····1··1···1·1·11111···1111·11······11111······1·1·1··········1·11··11··11················11111·11·11········11··111·1···11111············111111····1······1·1··1·1·1··111111·11····1·1·1·1·····111···11·········1·····1·11············111·111·111················1111···1··1·1·········11·1··111111···············1·11···111111·····1·1····1·11·111···1·11····1·1··11·11111·111·11····1111·1·····111···············1·11··11·11·······111111111···········11·1111····11111············11·1··111··1···11···11·1·111·1111··1····1··1···1·1···111··11
out 131 (239)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11··1···1·11········1··1·1·········111····11·····111··11··1·····1·1··1····1··1··1·11··111······1··1·1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··11···1·····1····11··111···11··11·11··1··11·····1····1·1···111···1·1·1····11·1·······1···1·11·1·······1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···11···1···1·11·····1····1··1········111···1·1····111···11···1·····1·1·1····1·1·111··111···1··11··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1··1··1····1·····11·111·····11·11····11·1·1·1·1····11··111····11····1····11···1·····1···111
out 132 (255)	············11···11··11·111··1·1··1··11·11····11··11··1·111·1··1···1·1·11········1··1·1·111·····1···1·11111·····1····111··111·····11···1·······111·····1··1·111·1·1····11···1··1··1····111111·····111·1······1···1···1········1······1··1······1··11··1·······111111····1··1··11··1··1··1··1···1·1·11·1········11·11·1··1··11··1····1111·1·1·11··1·····1···1················1·1··1111111··1·1·1··11·11···11··11··1·111·1··1······1·111······1···1··1111·····11···111·11···1·····111·1·11····11····1·····1···11····1··111111····11·1·1··1··111111·····1111·········1···1····1·······1····11·1··11·1·····11··11·111···1·1···11··1·1···1···1··1··1···111····111·1·1·1·11···1·····1·1111··1···11·1····1··1·
out 133 (263)	11···1···1··1··1··1···1···1··111····1·1··11·111··11·····11····11·····1··11···1··1·111·1·1111····1···1·1··1····11··1···1···1·11···11·1··1···1·····11··1·11···11······1111·1·····1·11·1···1···1·····1·1·1···1·1··1···1·111·1····1·····11···········11··11··1·····1111·1·1···111··11··1···1·1··1······1··1··1······1·11···111·111·11····1·1·1···11··11··111·1·····1·1····1··1··1··1··1·1··1··111···1·1··11111··11·····11····11········1·11·1·11·11·1··11111····11···1···1··11··1····1··1··11··11··1··1····1·····11·1·11··11····1111·1··1·111··1···1·····1·11····1···1··1····1·111·1···1···11····11·11·1····1··11··1·11··111···11··1··1···1··1········1·1·1···11·1··111111··11······1·11······11·11·111·1··
out 134 (263)	11·······1·11·1··1····1·11···1····1·1···11··11·1··1·1·1··1·11·1······1·1·11·····1111··1·1··1········11·1·1·1··1··11·····1·11·11·1··1111111·1····1··1·1·1····1·1···11·11·····1·····1···1·11·111·1·111······11·1·11··1·1···1···11·····1···········1·11·1··1······11·1···1·1·····11·1·1·1···1·····1··111·1··············1·111··1·1·1··1··11·11···11·11··1·1·1··1··1·1·······11·1····1··111···1···1·1···11·11·1··1·1·1··1·11·1·········11·11···1111····11··1·····1·1··1··1·11··11······11·1·111··1·111111··1····1··11·1···1·1·11·11···1····1·1·11·11·11·111······11···1·11···1·1···1··11···1····1·111·1·····1··1···1··1·1·····11·1·11·····1····1·····1111··········1111·1·1··1·1·····111·1·····1111·1·1·1·1
out 135 (31)	················································································1··1···························1··1···············1···1·····························1····1·························································································1·····························11···············1··1···························1···1·····················································································1··1··························1··1···············1····1··························1····1···········································································1··1·····························1··1·········1···1·····························1··1······
out 136 (247)	·1··········11·1·1···1····1··1·1·1··1···1·1···1·1·1·1·1·1·1·1·1···1··1·1·1···11··1·11·1····1····1···11·1··1····11·1·111·1·1·1·1···111·1·11·····1·1·1·1·11·1··1··1·111··1·1··1····1·····1·11·11··1·1·1·····1·11··1····1···1····1·····1··········1·1····1·1·····1··1·····1···1··1·1·1···1··1··1··1·1····1···1·····1·1·····11·1·1·1·1····11····1111·11····1·1·1·····1··········1·11·1·1···1··1·11··1···1·1··1·1·1·1·1·1·1·1·1····1····11·1·11··1·1·1··1···1····11·1··1···1··11·1··111·11··1·1··11·1·1·11···1····1·11·11·1·1·1111··1·11···1···1·11·1·1·1·1·1·····1···11··1·····1···1···1···1···1·1···11····1····1······1··1···1·1·1··1····1··1·1·11·····1···1·11·····111·1··1·1······11······111111···1·11·
out 137 (231)	11···1·····1·1·1·1···1···1··1·1···1·11··1·1·11·1·1·1··111·1·1·1····1···1·1···1··1·······11·1···········11·1···1·1····1·1···1·1···1·11·1·1··1···11·1··1··1·1·1·1···1·1·1·1···1····1··1··1·111·····1········1·1··1···1··11·1··········1··1·······1·1·1·1···1····1·1·1·1·1·1·11··1·1·11·1·111·11··1··1·1····1·····1·········1···1··1···1·1······1········1··1·1···1·1····1···1···11·1·1··1··1·1··1·11··1·111·1·1·1··111·1·1·1·······1··1·1·1··1········11·1··········11··1·1·1·····1·1···1·1··1·1·1·1·1···11···1·1·1··1·11·1·1·1·1·1·1···1·1·1·111·····1········1···1··1····1··11·1·······1···1·1·11··1···1···1···1·11·111···1·1·111·1·1·1·11·1·····1·1··1··1········1··1···1····1··1········1······1··11·
out 138 (255)	·········1·1·1·1·1····1··1··11·1·1··111···1·1·1·11·1···11·1·1·1······1·1·11·····11·11···111·····1·····1·1·1···1··111····1·1·1····1····1··1·1····11·1·1···1····1·1··11··111···1·1·1··1··1·1·111·1·1111·1···11···111····11··1··········1··········1·11·1··1······11······1··11····1·1···111···1··1··11··1···1····1··11···111··1·1·1·····1···11·11··11··11····1·············11···11·1··1·1··11·11··111···11·1·11·1···11·1·1·1·········11·11···11·1·1···111·····1····1·1··1·1··11·1····11··1···1·····1··1··1····11·11···1···11·11··111·11·1·1·1·1·11·11·11111····11·····111·····11··1·······1···1·111·1·····1··1·······1·11··1··1·1··11·1····1·1·····11·1···11·1·1··111·1·1··1·······1···11···11·11·11···1·
out 139 (263)	·1···1·····11··1·11·········11···1··111·1·1···11·1··1··1111··11········11·1··11·1··1··1·1·1·····1····1··111···111·····1·1··11·1·11··1·11·111···11111···111········1··11·1···1··1·1··1··11·11·1·11·1·····1··111·1···1·1·1·····1······1···1······1··11··1·11········1···11···11·1·11···1·1·1······11·11····1······1·1·····11·11··1···1·111·1111·1········1····1····1····1···1·11·1·11······11··1··111·1·1··11·1··1··1111··11··········11·111·1··1····11·1·····1··1···1·11·111······1·1··11·111···1·11·1·111···1111··111·····1··11·1·1·1·1·1·11·11··111·1···1····1··11·1····1·1·1····1····1·1·1··11·111···········1··11··11··1·11··1·1···1·····1·1···11··1···11·····1111···1··1····1111·11··1·1······1···1
out 140 (239)	11·········111·1·····11·1···111·····11···11··1111·····111···1111··1·······1··1···1·1··1··1······1·····11······1···11111····111··1··11·····1·····1······1111········1····1········11······1·1···1·11·····1··111··1····11······11·····11··1··········1·11·······11··1·1·····11···11111·11··1·1···11111······1·····1·11····11·1···111·····1··1··111·····111···11··1·1········1·1·11···111···111····11···11·1111·····111···1111···1········11···1·1····1·1······1····11·····1···111111····111·1··1·1······1·····1·····1111·····1····1·····11····1·1···1·11···1····1··11··1·····11·····11···111·····111·····11······1·1···11····1111111····1·1··11·1··11·····1·11·1···111····111·······1··1····111···111··11
out 141 (231)	·1···········1···11·····1···11·1··1·1····1····11·1·····1·11·1··1··11·1·11·1··11·1·111······11···1····1··111····1·11·1··1··111·1·111·1·1111··············11··1···1·1·1··1·····1····1·1··111··1··11·111······11··1······1··11···1·····1···········11···1··················1·11···1··1··1·1·1·····1······1·········1······1···1·11·11·1111··11·111······11··1·1·····1············1··11··1···11·1·1·1····1···11·1·····1·11·1··1···1··1·111·111·1·11·1······11···1··1···1·11··1·11··1··1·1·11·1111··1·1111··············11·1··11·1··1···1···11·111··1··11·111······1··1··1·······1··11··1··11····11··1···················111····1··1·1·1···1····1········1·····1·····1··1·11··111··1·11·1·1···111····11··11·
out 142 (239)	11·······1··1····1···1··11····11·1····1··1··11·1·1·1··1···1··1·1··1··1·1·1···1··1·1·1·1·1·1·1··········1··1····1·1·1111·1·11·1···1·11···111······1·1·1··111·1·1·1·1·1··1·····1·1··1·1··1····11·····11·1·1·1·11·1·1···1·1··1··11·····1···1·······1·1···1·1·····1·1···1··1·······1·1·1·1·111··1···1··11·1········1·····1······1·11·1·······1·······11··1·1····1··1·1·······1··1····1·1·11····111····1··1·11·1·1·1··1···1··1·1···1····11·1·1··1·1··1··11·1·1·········1···1··1·1··1111·11·1·1··1·1·1···11·1······1·111·1111·111·1··1···11··11·1····1·1····1111···1···11·1·1····1·1··1·11···1·1··1·1··11····1···1·····1·1·······1·1·11·1·1·1··1··1·····111····1·····1····1·1·1·1········1·········11·1·1···1
out 143 (247)	11···1·····111···11······11·1·1··1···1···1···1··1·11···1·11·1··1·······11·1··1···1·1··1·11·11·······1····11····1·1·1·11·1····1··1···1·111·······1·11·1··1····11·1·11··1·1····1····1····111·1·1·1·1·1·······11···11·1·1···11···1·····1···········11·1··1·11······11·11·11···1···1··11··1·11·1···1··1···1··11····1··1····11··1·111·····11···1····1··1····1·1·1···1·1····1···1·1·1··11···11·1·1·1···1···1··1··1·11···1·11·1··1·········11·11···1·1····111·11····1·······11··1·1··1·11·1····1·1····1·111········1·111··1···11111··1·1··1···1··111·1··11·1·1·······1··1···11··1·1···11··1···1····11·1·111·······11···1111··1····1··11·1··1·1·1··1·····1··1·1·11·1····11·1·11·1······111···1······1·1···1·11·
out 144 (247)	·········1·111···111·11··11··1·1··1·111·11··1·11··11··1·111·1··1···1·1·11···········1·1··11·····1···1·11·11····11····111··111···1·11··111······11········11·111···1·1··11···1··1··1····111111····11·1·1···1······1···1·1·············1··1······1··11··1·······111111····1·····11··1··1··1······1···11·1········1··11···11··11··1···1111····1··1········1···1·············11·1·1··1111·11··1·1·1·111·11·1·11··11··1·111·1··1······1·111··········1··1·11·····11···11··11··11·····111·1·11··1·11···111····1···1·······11111·1·1··11·1·1··1··111111····11·11····1········1····1·1··········11·1··11·1·····11··11··11···1·····11··1·1···1······1······111····1·1·1··11·11···1··1··1·11····1····1······1··1·
out 145 (271)	·1···11··1··11····1··1··11··111··11·1·1········1111·····1·11··11··1··1··111···1···1···1·1·11········1·1·1·11··11111·11····11·····1··111····1···11·1··1·1·11···1·····1··········1····1·11··1111·11·1···1·1·11·····1···111·1···11·····11··1······11··1·····1····1·1·111··11·11·····11··111·1·1······1·1·1··11·····1··1····11·1··1··1·1·1·1·11·111···1···11·1·11····1····1··1··1·1···11·11··111·11·1·1·······1111·····1·11··11···1····1·111·1···1·····11·11·····1···1·1··1111111··11···1·1····1···111·····11···1·1·1·1·11··1···1·······1···111··111·111·1··11···11·······1····111·1··11···111·11··1···1···1···1···111·1111······11·111···1·1········1·11·1·1·1··1···111··1···11····1·11·1···111··1··11·111
out 146 (239)	·········1·1·1·1·1····1··1··11·1·1···11···1···1·1111···1··1·1·1······1·1·11·····11·11····11·1···1·····1·1·1···1··1·1·1··1·1·1···11····1·1··1····1··1·1···1····1·1··1···11····1·1·1··1··1·1·111·1·1111·1···11···111····1···1···1····1·1··1·······1·11·1··1······11······1··1·····1·1···111···1··1···1······1····11·11·····1··1·1·1··1··1···11·11···1···1····1·············11···11·1··1·1··11·11···11···1··1·1111···1··1·1·1·········11·11···11·1·1····11·1···1····1·1··1·1··1··1·1··11··1··11·····1·1···1····1··11···1···11·1···11··11·1·1·1·1·11·11·11111····11·····111·····1···1··1····11··1·111·1·····1··1·······1·1······1·1··11·1····1·1······1·····1111·1····1·1·1··1·1·····1···11···11··1··1···1·
out 147 (263)	11·······1··1····1···1··11····11·1····1··1··11·1·1·1··1···1··1·1··1··1·1·1···1··1··11·1·1·1·1·····1····11·1······1··111·1·11·1··11111·1··111·······1·1·1111···1·1···11·1·1···1·1··1·1··1····11·····11·1·1·1·11·1·1···1·1··1··11·····1···1·······1·1···1·1·····1·1·111··1·······1·1·1·11111·11···11·1··1········11·1····1···11·11·1·1··11·1·1···1·1·····1····1··1·1·······1··1····1·1·11····111····1··1·11·1·1·1··1···1··1·1···1····11·1·1··1··1·1··11·1·1·········11··1····1···111·11·1·1·1111·1·1··1·11·······11·1111··11··11·1·1·11··11·1····1·1····1111···1···11·1·1····1·1··1·11···1·1··1·1··11····1···1···111·1·······1·1·1111·1·1·11··1·1···1·1····111····1··11·1·1·11·····111··1·····11····1···1
out 148 (247)	·1··········11·1·1···1····1··1·1·1··1···1·1···1·1·1·1·1·1·1·1·1···1··1·1·1···11··11·1·1·1··1····1···11·1··1···111···111·1·1·1·1····11·1····1···1·1·1·1·11·1·11····111··1·1··1····1·····1·11·11··1·1·1·····1·11··1····1···1····1·····1··········1·1····1·1·····1··111··11······1·1·1···1··1··1··1·11···1···1·····1······1·1···1·1·1····11···11·11·11····1·1·1·····1··········1·11·1·1···1··1·11··1···1·1··1·1·1·1·1·1·1·1·1····1····11·1·11··11··11·11··1····11·1··1···1·111····111·11··1·1···1·1·1·····11····1·11·11·111··111··1·11···1···1·11·1·1·1·1·1·····1···11··1·····1···1···1···1···1·1···11····1····1··11·11······1·1·1··1····1··1·1··1··1··1···1·1·····1·1··1··1·1······11···1··1·1111···1·11·
out 149 (263)	·········1·1·1·1·1····1·11··11·1·1··111···1···1·11·1···1··1·1·1······1·1·11·····11111·····1·1···1·····1···1···11·1······1·1·1····1······1·······11·1·1·1····1·1·1·11·1·111···1·1·1··1··1·1·111·1·1111·1···11·1·111····11··1···1······1··1·······1·11·11·1······11·1····1··1·1···1·1···111··11··1·1·11·1···1····1··11·1···1·11·1·1·····11·11··111·····11····1·············11···11·1··111··11·11··111···1··1·11·1···1··1·1·1······1··11·11···1111·1·····1·1···1····1····1·11·1·······11··1···1·······1········11·11·1···1·1111·1·111·11·1·1·1·1·11·11·11111····11···1·111·····11··1··1····11··1·11111·····1··1···1···1·1·1····1·1··11·1···11·1··1···111···11·1·1·1··111·1··1·······111·1····111···11···1·
out 150 (231)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··11······111·········11··1····11··1·1··11··1··1···1·1·111·11····1··1·1··1···1·1·1··11···1······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11······11··1···11····11·11··1······11·····1····1··11·1··111111···1··11···1·111·1··1··1···1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··11·······111·······1·1···1··11··1··1··11··1··1··1··1·111··11····1··11··1··1·11·11···1···1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1·······11·1····11···11··1·1··1········11····11·1·1·1·11111····1···1·1··1··1··11·1·1·1···1··
out 151 (247)	11···1·····111···11······11·1·1··1···1···1···1··1·11···1·11·1··1·······11·1·11···1·1··1·1··11·······1···111····1·1·1··1·1····1··1···1··11·······1111····1····11·1·11·11·1····1····1····111·1·1·1·1·1·······11···11·1·1···11···1·····1···········11·1··1·11·····111·11·11···11··1··11··1·11·····1··1······11····1··1··1·11··1·111···1·11···1····1·······1·1·1···1·1····1···1·1·1··11···11·1·1·1···1···1··1··1·11···1·11·1··1·········11·11···1·1····11··11····1·····1·11··1·1··1··1·1····1·1····1··11········1111···1···11111·11·1··1···1··111·1··11·1·1·······1··1···11··1·1···11··1···1····11·1·111····1··11···1111··11···1··11·1··1·1····1·····1····1·11·1···111·1·11·1··1····11···1······1·····1·11·
out 152 (255)	1········1··1··1·11··11·······11··1·11····1·11··11··1·1··11··11····1·1·11·····1·11·11·1·1··11········111111···11·111···1··1··11··1·1··11··1·····11·····1·11·····1·1111·111···1···1··1··11··11···1···1···1····1·11····1·1·11··11······1··········11·1··1·······11···11···1··11···11·1··11···1····11·····1··1········1·····1···111····1111···11··1··1··1·1·1··1··1·········1··1··1·1111······11·1·11····111··11··1·1··11··11·······1·111···1·11·1·1··11··11······1·111·11·11·11·1···1·1···11·1·1···11···1·····11····1·11···11111·111·1··1·1·11··11···1···1·1········1·11·····1·1·11·11····1···11·1·1·····11·······11··1·11····11·1·11·····1···1·1·········1····1····1··11·1·····1·111···1··1··1·1·1·1·1·1
out 153 (247)	1··········1·1·1·········11·111·····1···111··11111111···1···1111··············1·11·1······111···1···11··1·····1·1111·······1111··1······1·11···1·······1····111·1··11····1··11·1·11·1····11·····111···1·1····1·11······1·11··11·········1······1111·············111·1·········111111·1111··1···111·11·····1····11······111··111········1····1·11·1···1···1·11··1··········1···11······11·111····1···111·11111111···1···1111··············1·11·1·······111···11·1···1····1·111·1·······1111·1·······1··111·········1···1111·11····1111·111···11·····111··11········1·11·······1111·11·····1·1111············11··1·1········111111111·1···1··11·1···11····111·····111·111···········1······1·111··1···111
out 154 (239)	·1···1······11····1···1·11·····1········1······11··11····1··11·······1··11···11··1·11·1·1···1········11··1·····1111··11···11··1·····1·11·11····1··1··1··1·····1····1··11····11··········111·1···1··11···1·1·1···11·1·11···1··11·····11··1······11····11··1·····11·11··1···11··1··11··11·11··1··1111······11····1···1·1·11··1··11···1·1···1··1··1······11···11····1····1·····1·1···1·111·····1·······1·····11··11····1··11··········1·11·11··1·1·1··11···1······1·1···1···1111···11··1·1··1·····1·11·1·1·1·1···1·1··1····1··1··11··11·······111·1···1··11·1···1···1···11··1·11···1·11···111·11···11·1····1··1···11·1··11···1··11·11··1·1··1·11·1··1····1·11···1·111·1··1·1··1····1··1·····1··1····11··11
out 155 (231)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··1·1····111··········11··1····11····11·11··1··1·1···1·1111·1····1··1·1··11····1·1··1·1··1······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11·11···11····1·11····11·11··1·····111·1···1····11··1·1···1·111···1··11······11·1·1···1···1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··1·1·····111········1·1···1··11·····11·11··1··11····1·1111··1····1··11··11···11·1·1··1···1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1···11··11······11···11··1·1··1·······1111···111··1·1··1111····1···1·1········11·11··1···1··
out 156 (247)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1··11···············1111······11··1····11·1···1·11111···1·11······1·····111··11···1···11·········11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111·1··111······1111····111·1···11·1······1·····1···1···111·········11·····111··1·11········11····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1··1·1············1·1·11·····11··1·····111····11111·1···1··11······1····111·11·1···11······111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11···1·111······1111···1·1·1·1··11····1····1··1···1··111········1·11······11··1··111······11
out 157 (231)	1····1·····111·1·1····1·1·1·1·1···1·1·1···1··1·1··1·1··1··1·1·1···11···1·11···1·······1··11·1·······1·1·1·1···1··1··1111···1·11·······1·1··1·····11··1···1···1·······11······1·1·1·····1·1·····111····1···11·······1·1····1···1······1··1·······1·1···1··1·····1·11·1·1·1··11···1·11·1······1··1···1··1··1······1·11·····1··1·11·1·11·1···1·11·1·11··1·1···1···1······1···1·1·11·1··11·1·1·1··1·1·1···1·1·1··1·1··1··1·1·1····1··1··1·11·1·········1·11·1····1···1·1··1·1··1···1111···1·11·······1·1···1·····11·1···1··1·····11····11·1···1·1·····111···1····11··········1·1····1··1····11··1·1··1·1····1···1··1·11·1·11····1·111····1···1·1······1·1·1···11·1····1·1·1·1·11··1··1···1···11·111·1·1··1·
out 158 (247)	1····1···1··1···········111··111·11··1······111111111···1·········11·1········1·11··1·1·1·······1···11·········1··1111111·11111··11·····11······1111··1······11·1··111111···········1······111··1·111··········111·1·111······1·········1··········1·11·11······11111·111·1·1······1·1111········11······11····11·1····11······111··11·····11·11·····111·······1······1··1··1········111··11111··1·····111111111···1··········1··1·1·····1·11···1··11·······11·1·········1··1·1111111·1111·11······11·······1111·······111·111111·······1·····11·1·1·111············111··1·111·····1·····1·····11111·······11··1111111·1·······1111·1·········1··1····1·1111····11······111···1·1·····1··1·11···111····
out 159 (263)	·1···1······1··1·11·····1···11···1··111·1·····11·1··1··1111··11········11·1··11·1·····1·111·····1····1··111···111·1··11·1··11·1·11··1·11··11···11·11···111··1·····1···1·1···1··1·1··1··11·11·1·11·11··1·1··11··1···1·1·1····11······1···1······1··11··1·11········11··11···1··1·11···1·1·1······11111·1··1······1·1······1·11··1·····111·11·1·1···1····1····1····1····1·····1··1·11··1···11··1··111·1····11·1··1··1111··11··········11·111·1·······1111·····1··1···1·11·111·1···11·1··11·111···1·11···111···1·11··111·1···1···1·1·1·1·1·1·11·11··111·11·11····1··1··1····1·1·1····1····1·1·1··11·111···········11·11··1···1·11··1·1···1·····1·1··1111·1···11······111···1·······1111·1···1·1··1···1···1
out 160 (231)	·1···1······11····1···1·11·····1········1······11··11····1··11·······1··11···11··1··1·1·····1········11·11·····111····1····1··1·····1··1··1····1·11··1··1···1·1····11·11····11··········111·1···1··11···1·1·1···11·1·11···1··11·····11··1······11····11··1·····11·1···1···1···1··11··11·11·11··111····1··11····1···1···1···1··111····1···1·11··1·1····11···11····1····1·····1·1···1·111·····1·······1·····11··11····1··11··········1·11·11··1···1··1····1······1·1·1·1···111·····1····1··1·····1··1···1·1····11·1··1··1·1··11·11··11·······111·1···1··11·1···1···1···11··1·11···1·11···111·11···11·1····1··1···1··1··1····1··11·11··1·1·11·11·1·····1·1111···1··1··1··1·11······1··1··1··1··11···11··11
out 161 (263)	·1···1···1·11··1·11·····1···11···1··111·1·1·1·11·1··1··1111··11········11·1··11·1··1··1··11·····1····1···11···1·1·11··1·1··11·1··1··1·11··11···11111····11··1···1·····1·1···11·1·1··1··11·11·1·1111···1·1··11··1···1·1·1·····11·····1···1······1··11··1·11········1···11······1·11···1·1·1·1····1·11·····1········1······1·11··1···1·11··11·1111··1····1····1····1····1··11·1··1·11··1···11··1··111·1·11·11·1··1··1111··11··········11·111·1··1····1·11·····1··1·····11·1·1·1·1··1·1··11·1·1···1·11···111···1111···11·1··1····1·1·111·1·1·11·11··11111··11····1··1··1····1·1·1····11···1·1·1··11·111···········1··11······1·11··1·1···1·1···1····11···1····1······111···1··1····11·1·1···1111·1···11··1
out 162 (239)	11···1·····111···11···1··11·11·1··1··11·11···1··11··1··1···1·11···1····11·········111·1···1··········1··1··1··1··11·11··1····11·111·11···111·····111······1·111·····11·11···1··1··1·1·1······1····1·1·1··············1········1·····1···1·······11···1··11····1111······1···1·11··11··11·1··1···1········11·····1······111·1·11·11·1·11··1·1··11··1····1···1···1·1····1···1·1·1··11·1·11·11·1·1··11·11··1··11··1··1···1·11····1·····11·······11·1··1··1········1···1···11··11··11··1····11111··11···1·11·····111·····1111···11·11·1·1··111·······1···1·11······1···········1·······1···1·1··11··1·11···11··11·······1··1··11··11·11···1··1··1·········1·1·1·····1111·11··111····11·1··1····11·1···1··1·
out 163 (239)	·····1···1·11····1····1··1··11····1·····11··1·1·11·1···11·1··1·1··11···1·11·····111···1·1··1····1·····1·1·1·····1··11·11····1···111·····111····1··1··1·1·1····1····11·1··1·11·····1·1··1··1····1·111····1·11···111·1·1·1·1···11······1·········1·1····1··1·····11·11··1·1·····11·1····111···1···111·1····11····11··1·1·······1·1·1··1·11··11··1··········1··1·········1··11·1····1··1·1··11···1·····11·1·1·11·1···11·1··1·1···1··1··1·11···111·····11··1····1····1·1··1···1···11·11····1··111······11·1·1·····1·1·1·1···1··11·1··11····11·1··1····1·111··1···11·····111··1·1·1·1··11····1··1·1···1·1····1··1···11·1·1·····11·1···11·1····1··1·1··1·1··1·111··1·1·····1··1·1···1··11··11····1········1·1
out 164 (31)	···················································································1····1·················1·······1···············1······1··················1·······1······························································································1·······1·················1····1···············1·····1··················1·····1····························································································1·····1·················1·····1···············1·······1·················1·····1···················································································1·····1··························1·········1·····1····················1······1·········
out 165 (247)	11···1·····1············1····················1111·111·11·1111111··11·1············1·····11······1···1111·111··1·111111111·11111··1·111·11·1····11·11···1·1······1···················1·11111111·····1·········1····················1·11··1······11111·11·11········1········11······1·11111·11··111·1·····11····11·11·1··11·1111111·11··1·1···1·················1·1····1···1··········1··················1111·111·11·1111111···1··1·1·········1······11······11·1·11··1111·111·1111111·1111·1·1·11·11··1·1···1·11··1·1····1··············11111111·1····1···········1····················111·111111111···········1······11·······1111·1·1·11·11·1···1···1·1111·1·1·111111·1111··1···11······1············
out 166 (47)	·········································································1·········1····11························1··1···················1·······1·······1··1·······11······················································································1······1·······11·····················1···1·················1··········1·····1·1·····11···················································································1·······1·····11······················1···1···················1········1······1·1·····11··················································································1·····11·························1··1············1·········1·······1··1······11········
out 167 (231)	1··········1·····1····1·1·1·1·11·1···1··11···1·1··1·1··1··1··1·1·····1·1·11···1···111···1··1········111·1·1····11··1····1·11·11·1·1······11····111·1·1···1··11··1···11·11···1·····1····1··1111·111··1···1·11··········1··1···1·······1··1······1·1·1·1··1······1·1·11··1··111·11·1·1·1··········1·1···1············1·1·1·····1··1·····1···111··1·1····1··1··1··1··········1······1··11·1·1·111···1··11··1·1··1·1··1··1··1·1········11·11·1···11·1···1··1·····1·1·1·11·1··11···1····11·1·111·1·······1·1·1···11·11···1·11·1··11·11·1····1··1··111·1111··1·1···11·············1··1··1·····11·1·1·11·1·····1···1···11·1·111··11·1·11···········1····1··1········1·11····1···1·······1···11··1··11···1··1·1
out 168 (239)	11·······1···1····1·1·1···1·111··11·11··1····11··11·····11··11····11····11···1··1··1········1···1···1·1··1······11·11··11···11··111·1·11·11····111·1·1··11··11······11··1···11······1···1111·1····1·····1·111··1·1········1··11·····11·········11··1····1······1·1··1··11··11·1··111···1·1··1··11·················11·1·11··1··1··1·111·······11······1·····11··1·1·······1····1···1·1··1·111·11·11··1···11··11·····11··11·····1··1···11·1··1··1·········1···11···1···1····11··11··11···11·111··1·11·1·1·1···11·11··11·11····11··1·11····1··1111··1···1···1···11··1··1·1·········1·11···11··11··1··1·····1···1····1·11·11··1··111··1···1··1·11··············1·1·111·1··1···11··1·1·········11····1····11
out 169 (255)	11·········1···1·11······11·1·11··1·1·1·1·1··1··1·11···1·11··11···11·1·11·1··1···1··1····11·········1···111··1111··11··1··1··1··1·1·1··1·111···1·1······11··111····111·1····1··1·1·····11·1·1··1·1·11·1·1··11···11····1······1······1··········1··1··1··········11··1···1·111·1·11·1··1·11·······1·11·1···1····1·····1··11·11···11··111··111·1····1··11·····1··1·1········1····1·11···11·1·11·1·1·1·1·1·1··1·11···1·11··11····1··1·111·11···1···1····11······1·····1·11·111···11··1·1···1·1·1··1··1·1·111····1·····11·111··111·1··1·1·1···11·1·1··1·1·1111····1··1···11·····1·····1····1···1··1·1··········11····1··1111··1·11·1·1··1·1·······1···111···11·····1·1111····11···1·11·1·11···1···1·11····1
out 170 (255)	1····1···1·111·1·1···1··1·1·11·1·1······1·1·11·1·1·1···111·1·1·1···1···1·1···11··1·11·1·11·1··········1·11·1···1·11··1·1···1·1···1···1·11111····1·1··1··1·1··1····111··1·1··1····1··1···1··1····11111·····1·1···11···1·1·1···········1··1·······1·11·1···1····1··1·····1····1·1·1·11·1·11·······1·111····1·····1··11···1···11·1·1···1·1·····1·11·11····1·1·1···1··1···1··11·1·11·1·1·1·1·11·11······1·111·1·1·1···111·1·1·1······1··1·1·11··1·1·1··111·1·········1·1·1·1·1·11···1·1···1·1··1····1·111·11····1·1·1··1·1·1··111··1·11···1·1··1··1····11111·····1···1···11····1·1·1········11··1·111··1···1····1······1···1··1·1·111·1·1·······1····111··1··1·1·1··1··11·1··1····1··1·······1·1111···1·11·
out 171 (239)	1····1·····111·1·1···1····1·11·1·1········1··1·1·1·1···1·1·1·1·1···1···1·1···11··11·1·1·1··1··········1·11·1···1·1·1···1···1·1···11··1·1·11·····1·1··1·1111·11·····1·1·1····1····1··1·1·1··1····1·111·····1·11··11···1·1·1····1······1··········1·11·1···1····1··111···1······1·1·11·1·11·······1··1··1··1·····1···1········1·1·1···1·11·1·11·1······1·1·1·1···1······1···1·1·11·1·1···1·11·11········1·1·1·1·1···1·1·1·1·1······1··1·1·11··11··1··11··1·········1·1·1·1·1·1··1···1···1·1··11···1·1·1·1·····1·1·1·111111···1·1·1··1···1·11·1··1····1·111·····1···11··11····1·1·1·1·1····1···1·111··1···1····1··11··1······1·1·111·1·1·······1·····1·1·1··1···1······1·1··1····1··111··1··1·1····1·1·11·
out 172 (271)	1········1··1··1·11··11·······11··1·11····1·11··11··1·1··11··11····1·1·11·····1·111·1·1···111········111111···11·1·1··11··1··11·1111··11·111····11·····1··1·1···1·1111·111···1···1··1··11··11···1···1···1····1·11····1·1·11··11······1··········11·1··1·······11··1·1···1···1···11·1··11···1····111·······1·····1·11····11·1·111····1111·1··1··1··1··1·1·1··1··1·········1··1··1·1111······11·1·11····111··11··1·1··11··11·······1·111···1·111··1··1··111······1·111·11·11·1··1··11·1···111111···11·1·11····11····1··11··11111·111·1··1·1·11··11···1···1·1········1·11·····1·1·11·11····1···11·1·1·····11······1·1··1··11···11·1·11·····1···1·1··1······1·11·1···111·11·1·····1·1111·····1··1·1·1·1·1·1
out 173 (247)	11·········111·1·····11·1···111·····11···11··1111·····111···1111··1·······1··1···1·1··1·1·······1·····11······1····1111····111··1··11·1·1111····1······1111·····1·11·11·1········11······1·1···1·11·····1··111··1····11······11·····11··1··········1·11·······11··1·1·····1·1··11111·11··1·1···111········1·····1·11·1·1·1·····111·····1··1···1···11·111···11··1·1········1·1·11···111···111····11···11·1111·····111···1111···1········11···1·1····11·······1····11·····1·····1111····111·1··1·1·1·11·11····1·····1111···111·11·1·····11····1·1···1·11···1····1··11··1·····11·····11···111·····111·····11······1·1···1·1···1111111····1·1··11·1·········1·11·1·11·1·····111·······1··1·····1··1·111··11
out 174 (263)	1········1··1··1·11··11·······11··1·11····1·11··11··1·1··11··11····1·1·11·····1·111·1·1·1··11········111111···11·11···11··1··11··1·1··11·111····11·····1········1·1111·111···1···1··1··11··11···1···1···1····1·11····1·1·11··11······1··········11·1··1·······11··1·1···1··11···11·1··11···1····11··1·····1········1····11·1·111····1111·1·11··1··1··1·1·1··1··1·········1··1··1·1111······11·1·11····111··11··1·1··11··11·······1·111···1·111··1··11··11······1·111·11·11·11····11·1···11·1·1···11·1·11····11····1······11111·111·1··1·1·11··11···1···1·1········1·11·····1·1·11·11····1···11·1·1·····11······1·1··1·11····11·1·11·····1···1·1····1····1····1···111·11·1·····1·11111·1··1··1·1·1·1·1·1
out 175 (255)	11···········1····1··1····1·1··1·····11······11····11·····11··11···1····111·····11111···1·11····1····11···11··1·11·1·1111···111·1·1·11···1·1···1···1·1·1·11··1··1··111111······1······11·····1·1···11·1·1·11···11··1···1·1···11·····11·········11····11·1·····1··1·1··1·····1····111····11·······1··1··········11·11·1···1·1··111···11·1·111·1·1·11··1···1·11··1·1···1········1···11···1·1··1····11·····11····11·····11··11······1···111···1111·1···1·11····1··1·1····111·11··1·1111···1111·1··11···1··11······11·1·11·1·1·111111···1····11······11···1111···11·····11···1···1·1··11···11··11···111····1····1···1·1····1·····111····1·1·······1····1·····111·1·1··11··1·11····1·1·11·11···1·111·1···111
out 176 (263)	·1··········11·1·1···1····1·11·1·1······1·1···1·1·1·1·1···1·1·1··11··1·1·1···11··1··1·1··1·1····1···11·11·1···111·1·111·1·1·1·1···111····1·····1·1·1·1·11·1·11··1··111·1····1····1·····1·11·11··1·1·1·····1·11··11···1·1·1····1·····1···1······1·11···1·1·····1··1·1···1···11·1·1·1···1··1·11··1·1····1···1·····1·1··1·111·1·1·1·1····11···1111··1···1·1·1·1·····1··········1·11·1·1···1·11·11······1·1··1·1·1·1·1···1·1·1····1····11·1·11··1···1··1·1·1····11·1··11··1·111·1··111·11··1·1··11·1····1···1····1·11·11·111·1·111·1··1···1···1·11·1·1·1·1·1·····1···11··11····1·1·1···1···1·1·1·11··11····1····1···1··1··11··1·1·1··1····1·11·1··1·····1···1·11···11111·1··1·1······11···1··111·1··1·1·11·
out 177 (255)	·1···1···1·1·1·1·····11··11·1··1·11·1····11·1····1111·11····1111···1·1····1··11·1···1···1···········11111·····1···1····11·1···1··1111···1·11······11···1111··11···1···11·······1·11·1····1··11·111·11···1··111·1·1·1···1·····1······11··················11····1111····111··1···1111····111·····1111······1·····11··1···111·········11··1··111··1·11·······111····1····1··11···11···11·11·1··111·1····111····1111·11····1111······1·1···111·1····1···1········1·1·111····1···1·····111····1·111·1···1··11······11··1111·11·1···11····1·111···1··1·1111·11·1····1··11·1·1··1···1····1····11·········11···11··11·····111·1····1111···1·1·1····11·1··1····1··11··1··111········1··1···1··11··1··111······11
out 178 (231)	1··········111····1··1···1··111··11···1······11····11·1111··11·····1····111···1·······1···11····1····1·1·1·····1··1···111····11····1···11111·······1·1····1···1······1·········1········11···1·11111··1·1·11·1···1···11··1···11··················11··11·1·····1·1··11··11·1······111····1··11··111·1··1·····1··1··1·····1···11·11···11····1·111··1····11·1·11··1··········1·1·1···11··1··111·11···1·····11····11·1111··11········1···111·1·········1··11····1··1··1··1···1··1····111····11···1····111·11·······11····1··1····1······1······11····111111·11···11···1···1····11··1··11·········11·111····1···1····11·111·······111····1···11·11·1···1·1····1·1·····1··11··11····1·1····1···111·1···11·111
out 179 (263)	·1···1·····1···1·11······11·1·11··1···1·1·1·1·11·1··1·1····11··1·······11·1··1···11·1·····1·····1····1111··1···1·111··1·1··11·1·1111·1··11·1····1·11···111··111····1·1·1····1··1·1··111··1·1·1·1·1·11·1·1··11···11····11·····11······1··1·······11·1··1·11······111·1···1·11··1·11···1·1···11··1·········1······1·11·········111·····111·111·1···11··11·····1····1····1···1····1·11···11·1·11·1···1·1·11·11·1··1·1····11··1·········11·11···11··1·····1·····1··1·111···1·1·11·1··1·1··11·11111··1··11··1····1·11··111·111··1·1·1··1·1·1·11··1·1··11·1·1111····1··1···11·····11····11····11··11·1·111·······11··1·1··111···1·11··1·1·····11·1··········1···11·1·······11·1·······1111·11···1··11·11····1
out 180 (215)	1········1·······1····1·1·1·1·11·1···1··11···1·1··1·1··11····1·1·····1·1·11···1···1·1······1········111·1·1····11·11····1·11·11·1·········1····111·1·1···1···1····1··1·11···1·····1····1··1111·11··11···1·11··········1··1···1·······1····1····1·1·1·1··1······1·1··1··1··1·1·11·1·1·1······1···1·····1···········11·1·11····1··1·····1···1·11········1··1··1··1·········1·······1··11·1·1·111···1··11··1·1··1·1··11····1·1········11·11·1···1··1······1·····1·1·1·1··1··11·1·1····11·1·111···········1·1···11·11···1··1··1··1·11·1····1··1··111·111··11·1···11·············1··1··1·····1··1·1·11·1·····1···1····1·1·1·1··11·1·11········1··1·······1······1·1·111···1···1·······1···1···11······1··1·1
out 181 (231)	1········1·1·····1····1·1·1···11·1···1··11···1·1··1·1··11·1··1·1·····1·1·11···1····11···1··1········111·1·1····11··1····1·11·11·1·1···1··11····111·1·1···1··11······11·11···1·····1·······1111·11···1···1·11·····1····1··1···1·······1·········1·1·1·1··1······1·1111··1··111·11·1·1·1······1···1·1···1············1···1·····1··1·····1···1111·1·1····1··1··1··1···1·····11······1··11·1···111···1··11··1·1··1·1··11·1··1·1········11·11·1····1·1···1··1·····1·1·1·1··1··11···1····11·1·111·1····1··1·1·1···11·11···1·11····11·11·1····1·····111·111···1·1···11·······1·····1··1··1·····1··1·1·11·1·····1···1··111·1·111··11·1·11········1··1····1··1········1··1····1···1·······1···11··11·11···1··1·1
out 182 (223)	·1·············1··1···1·11·······11·111··11····11··11····1····11··11····11···11··11······111·········11··1····11··1·1··11··1··1···1·1··1·1·1····1··1·1··1···1·1···1111·11······1·11·····1··1·1··1··1··1···1·1···11·······1··········11··1········111····1······11······11··1···11····11·11··1······11·····1····1··11···1·1·111···1··11···1·11········1···1·······1·············1··1·111······11·111··11···11··11····1····11···1··1···11·11··11·······111·······1·1···1··11··1··1··11··1··1··1··1··1·1··1····1··11··1··1·1·1111·11···1·11···1··1··1·1··1·1····1···1···11········1·······111···111··1·····1··1·······11·1····11···11··1·1··1········11····11·1·1··1·1111····1···1·1··1··1··1·····11···1··
out 183 (247)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····11·11·····11········1··111·····1···111····11····1111···11·1·····111··1···11·11····111·111·1····1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··111··1····11····11··111····1··11111··1··11················111···1···1···11······1···11··1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···11·1·1·····11·····1····11·1···1····111···1·1···1111····11··1·····111·1···1111··111·111···1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1··11·1···11·····11·111······1·11·1··11·1·1·1··········111····1·····1··1·1·······1··11··111
out 184 (247)	·····1···1·1·1····1··1··1·1·1··1·····11·····1··1111···11·1··11····1··1··111·····111·1·····11········1··1·1·····1···111····11····1111···11111····111··1···11·11····111·1111·····1····1···11·11··1·1··1·1·1·11·1·11··1···1·1···1··········1········111·····1····1··1····1····11····11··111·1·11··11111··1··11·············1···11···1···1···11······1·······1·11·········1··11···1···11·1·1·1··1····11····1··1111···11·1··11·····1····1·111···111··1·····11·····1··1·1··1···1····111···1·1···1111····111·11····111·1···1111··111·1111··1···1··11·11··1·1··111···11···1·11···1···1·1··1······1···111···1···1····1·····1···11·····11·111···1·11·11·1··11·1·1·1········1··11····1·····1··1·1·······1······111
check 185 (240)	11·····1·1··1··1··1··1····1·1··1····111········1111···1111··11····1··1··111·····11111·····11········1··1·1··········11····1·111·1···11··1··1···1···1···11·····1·1·1·1·······11···11···11··1··1··1·1·······11···11··1·····1···11··················111·····1····1··1·1··1····11····11··111···11··11·111·1··1·····11··1·1·111·1··111···1·1··1··1·11··1···11·······1·1·····1·1··1··1··11···1·1··1···111·······1111···1111··11·····1····1·111···1111·1·····11·····1····1··1·········11···1··1111····11··1···11······1··11····111·1·····11··11·11··1···1·1·1·······11·····11···1·····1··11·········111···1···1····1···1·1···11·····11·111·····11·11····1111·1··11··1·11111··1·11····1··1·1·····1·11·1··11····
check 186 (248)	·····1···1·111·1111··11·111·111··············11111111·11·111·······················11·1·1·111···········1·····1111··11111·11111··1·11111···1·········1·11·1··11···1111···1···············11111···1·11·1·1·111··11···················11··1··························1··111·1·1·11111········1···11·111····11····11·11···1···1·········11··111111··11··1················1··11·1·1111111111·111············11111111·11·111·······················1·1··11·111··········1····1111···111111·1111·1·1·1111····1········1·11·1·11·1111···1··········1111·1··1·1111···11··1··11·················111······················1·1111·1··11111·········1··11····111··1·1111·1··1··1············11·1·11··111·11·1······
check 187 (248)	·········1·11··1··1··1··1·1·1····11·1···111·1··1111···11·1····11···1···1·····11·····1···1111····1····11···11···1··111·····1·111·1·1·11··1·11····1·1·····11····1···1··11111·····1····1···1·1··1·1·1········11·1·11····111··1···1·········1······11····11·1··1···11··11·1··········111····11·····111·1·····1·····11·11·1·1····11···1·1··11····1111··1······1·11············11·1··1··11·1·1·1···11·1···1111··1111···11·1····11······1··1···11······1···1111····1··1·1····11·1··1·11····1··1111·1··11··1··11····1·1····11···1·1··11111··1···1··1·1···11·1········11···1·11·····111··1··1·····1·11···111·1···1··1····111··········111····1·1····11·1···1···1··111·1·11···11····11·····11······1111·1·····111
check 188 (336)	1·1111··1·1·11·1··11111·11····1·1···1··1·····11··1111·11··11··111·11·····1·1·1···1··1·1······1·11···11·1·111····111·11·1111·11·1·1···11··1····111111··1·1111···1·1·1·11·····1······11·11··11·1·111·1····111·111·1111·11·1·1111111·····1111···11·111·1···111·11·1··1111····111···11111··11·1·1······1·11·····111·1·····111···11····1·11······11·1··1111111··1111······1··11·11·1·····1·····1·1····1··111·····11·····1111····1·1···111·1·1111·1·11·1·111··111··11····11·1111··1·1·1·11·····1·111··1111·1·····1···11··11···11·1·1·111·1··111111···111···111·11···11·1···1111··111···111·11····1·111··1···111·11···1··1··1···111·11···1··1··1·1··1111·111·11·1111·····1·1111··111·11····11··1··11·11·111·11
check 189 (344)	111··11··1·111·1·11111··11·11·1··11111·111··11·11·11···1111·1··11···1··1··11·1·11··1·111·1·1·1···111······1···1·1·1··11······1··1··11·11···1··11111·11111·11··1···11··1·1111······1·1··11111·1·······1···1·111·····11··1·1111····1111·11·1···11··1·1·1·111··11··11111·1··1····111·11··1·111·1··1····1··111·1···111····11·1···11·1··1·111··11·1··11···1·111·1·11111···11·11····1··1···1111··1···111····111···1·1··1···1·1·1·1···111··111·1···111···1··1·1111··1····11111··1·11·····11·11·1··11··1·1·111·1·11·1111··11··111···111·1111··1···1·1·1···1···1···1··1·1·111111··11111·1·1··1··1·1·111·1·1·1··11···1·11·111111···1····111·111·1·1·11·1111··1111·11·11····1···1·11··1·111·11·1··1··1·1·1·11·111·
check 190 (336)	1111·11·11·1···1···1·1·1····1111·1······1···111·1··11111·········1·111··1·1·1·1···1111··1··111··111··1·1·1····1·11·1···1··1111·1··111······111·1·11·1111111·1·11··11·111····1111·····1····1·11·1··111····1·1111··1·11··11·111·1··1···1··11···1111·111··111··1·111·1·1·1·1···111·1··1·11·1··11····1···1··11·1··1·····1·1111·1111··11·1··11111·1111·1·11···11··111······1··1···1····11111·1·111·1·11111111111·····11111····11·111····1··111·1·1·1·1·1··11·1·1·1·1·111·1····11111·1···111·111··111···1111·11··11111··1··11·····1·111111··11···1·111··11·1·11·1··11·1····1···11···111··11111···111·····1··11·11···1··111··1·1·11···1·····1111·1··1···111·11·11···1·····1··1······1·11·1··11·1111·1·········
check 191 (344)	·11·111······1···1·1··11·111··1111·11···111·1····111·111····1·11·1·111·1··11··1····111·11·········1····1·1···11··111···1······1·111111···1111·1···1··1··1····1··1·1·1111·11···1·111·1·1··1··11·111·11··11··11111·1·1···111··111·11·111·1·1·1··1·1···1·1·111·1·11·1111··11··11111·1··1··111····111·1111·1·11·1·111·1···1·111····1·1··1·1·111·1····1·111··1··111···11···1··11····1···11··1·1··111·11·1·1···1·11·11·1··1·1111·1··1·11····111111·11111··11·1·11111·1·111···111··1111·11111·1···1·111··1····1·1·1·111·1···1111····1·1111····11··11·····11···1·11·1111··1····1··1·11···11···11··1···1····1·1··11·111··1·11·11····1111··11111111·11··1·11·1·111·1···11···1·1·1····1·111···1111·111·1···11··1·1
check 192 (344)	1·1··11··11·1111·11···1·111·111·1111··11···1·111····111111··1······11··1·1111·11··1···1111111·1·11··1111·····111·11···11·1··1111··1····11111·11··11··111····11··11···1····1··111·······111···1·11·11··1·1111··1···1·1111····111·1··1··1··11··1··1·1·1·1·11····1·····1·1·1·1·11··11111·····1111·11111·1·····11··11··1·11·111·11·1·1·11111·1111·11·111·111·1·1·1·1···1·····11·1·1····1·1·····1··1·1·11··1·1····111··11·1·111·11·11·11··111·11···1··111·11···1···11·····11··1·····11111··1·111·111··1·111·1··11·1·1111·111·111···1··1··111·····1···1·11····1·1·11111··1··1··1·1···11··111··1·1··11·11···11·1··11··111·11·11·1····111··11··11111·11·1·1·111·····1····1··1·1·11·1111···1·111111···1····11·11
check 193 (332)	11·1111····1··1··11··11··11··1·111111·111·11·1··11··1··1···111·111·111·11············1·1··11·11······1··1··1111··1·1··1111···11··11·111··1··111·11111·····1·111·····1111·111··1·11··1·1····11·····1·11111········1·111111·11111·····1···1···1111111·11·1·11···111111·1···11·111··111··11·1··1··1··1·11111·1··········1·1111·1···1111111··1·1··11··11111·111··111·1··11····111111·1111·11··1····1·1·1·1·11··11··1··1···1··1·111111·1·11··········111111··1111···1···1···1·11·11·11···1···11·11··111···1111111·········1111·······1·1111·111··11··11···1····1···········1·1·1···11·1·····1·11····1·11····11··11··11·111·1·11·11··1·11···1··1··11111·1··1111······11··1·1111···11··11·1··1····111·1··11·11
check 194 (344)	1····1·11·111111··1···1··1·······11··11··11·1···1····1··11···11111111···11···11··1·1······11···1·1111·······11··111111·1·11·11···111·11·1111···1·11··11··1·11·1111····1··1111·1·1···1·11·11·1·1···1··1111·1·11··11·····1·1····111111·1111111111·1·1·1111111····11·11···11··11··11···111···11·11···1·11·11·······1······11·····111·······1·11·11111111·111·11·111······1·11·1·1····1·1·1······11··11··111111·1111111··111···111·11·11·11·11··1·1·······11····1·111111111111···1···1·1···11··111··11·11·111····11··111·1·1··1111·11··11111111·11·1··111·11··1··1···11··11······1·1···11111··11·1·1········1··1···11··11·11···11··1··111111·11111111·1·1111··1·····11····1·11·····111111··111·····11··11·1
check 195 (288)	·········1·1······111··111·111··11·1·1·1·111111·111··111·1111·11111111·············1····1···············1······1···1·1·····11111·11·1·11··11111·11··1·1111·1···1·1·1·11·11111·11111··············1·1·····1111111·1111·1·1·1111111111·111·1111111··1·1··11·1········1·······1···············1·····1··1·1····11111·11·111···11111···1111·1111·1·1·1·1111111111·11··········11·····11·11··11··11·111·111·····1···111··1····1··111·11·1···········1·····1··············1·····1····1·1····1····1··11·1··111··1111··1111···111111·1··1···1·1··············1·1····11··11··1·1·11·11·111·1··1111·11·11·111·1············1·····1·················1·····1····11···1·1·111·111····1111·11·1·1··1·111·1·11·1···1··1
check 196 (352)	11···1···1··1··1··1···1···1··111····1·1··11·111··11·····11····11·····11·1·1111·11·1··1·11·1··111·1111·11·111111···1·11·1·111··11······1···11111·111·1111·1·111·1·1111··11·111·1·1···1···1···1·····1·1·1···1·1··1···1·111·1····1·····11···········11··11··1·1111···11111·11·1·1··11··111··11·111111·1·1·11··1111111·111111111··111·1·1··11·1·11·111·11···1·11·111·1····1··1··1··1··1·1··1··111···1·1··11111··11·····11····11········11·1··11·1·111111·1·111111·111··11····111·11··1·1·1·11·1111111·1111··1111···1·1·1·1··11···11··1·111111··1···1·····1·11····1···1··1····1·111·1···1···11····11·11·1·11·1111111····1·1·11111··11··1111·11·1··1·111·111111··11·1·····11·1··1111·111·11·111··1··1111111·1

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 n679Noisy T states per run.

outputs k185

distance d3Exact, proved and witnessed here.

error coefficient A_{3}11,230Faults of weight 3 in the circuit shown that pass every check and damage the output. The output error is A_{3}\,p^{3} to leading order.

wires N197

checks r12

V_{\mathrm{ex}}185T states per run. CCZ counts as two.

\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.1836Overhead per extractable T state. Lower is better.

\gamma = \log(n/k)/\log d1.1836Overhead 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 width185Rank of the output rows modulo the check rows.

Output gate

185 T0 CS0 CCZon 185 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}\cdot \mathrm{T}_{153}\cdot \mathrm{T}_{154}\cdot \mathrm{T}_{155}\cdot \mathrm{T}_{156}\cdot \mathrm{T}_{157}\cdot \mathrm{T}_{158}\cdot \mathrm{T}_{159}\cdot \mathrm{T}_{160}\cdot \mathrm{T}_{161}\cdot \mathrm{T}_{162}\cdot \mathrm{T}_{163}\cdot \mathrm{T}_{164}\cdot \mathrm{T}_{165}\cdot \mathrm{T}_{166}\cdot \mathrm{T}_{167}\cdot \mathrm{T}_{168}\cdot \mathrm{T}_{169}\cdot \mathrm{T}_{170}\cdot \mathrm{T}_{171}\cdot \mathrm{T}_{172}\cdot \mathrm{T}_{173}\cdot \mathrm{T}_{174}\cdot \mathrm{T}_{175}\cdot \mathrm{T}_{176}\cdot \mathrm{T}_{177}\cdot \mathrm{T}_{178}\cdot \mathrm{T}_{179}\cdot \mathrm{T}_{180}\cdot \mathrm{T}_{181}\cdot \mathrm{T}_{182}\cdot \mathrm{T}_{183}\cdot \mathrm{T}_{184}

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+153+154+155+156+157+158+159+160+161+162+163+164+165+166+167+168+169+170+171+172+173+174+175+176+177+178+179+180+181+182+183+184 (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 186 single-wire gates and 301 \mathrm{CZ} 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 463 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 487 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, \mathrm{S} on output 153, \mathrm{S} on output 154, \mathrm{S} on output 155, \mathrm{S} on output 156, \mathrm{S} on output 157, \mathrm{S} on output 158, \mathrm{S} on output 159, \mathrm{S} on output 160, \mathrm{S} on output 161, \mathrm{S} on output 162, \mathrm{S} on output 163, \mathrm{S} on output 164, \mathrm{S} on output 165, \mathrm{S} on output 166, \mathrm{S} on output 167, \mathrm{S} on output 168, \mathrm{S} on output 169, \mathrm{S} on output 170, \mathrm{S} on output 171, \mathrm{S} on output 172, \mathrm{S} on output 173, \mathrm{S} on output 174, \mathrm{S} on output 175, \mathrm{S} on output 176, \mathrm{S} on output 177, \mathrm{S} on output 178, \mathrm{S} on output 179, \mathrm{S} on output 180, \mathrm{S} on output 181, \mathrm{S} on output 182, \mathrm{S} on output 183, \mathrm{S} on output 184, \mathrm{Z} on check 193, \mathrm{CZ} on output 0, check 188, \mathrm{CZ} on output 0, check 193, \mathrm{CZ} on output 1, check 188, \mathrm{CZ} on output 1, check 194, \mathrm{CZ} on output 4, check 193, \mathrm{CZ} on output 4, check 194, \mathrm{CZ} on output 5, check 188, \mathrm{CZ} on output 5, check 193, \mathrm{CZ} on output 8, check 188, \mathrm{CZ} on output 8, check 194, \mathrm{CZ} on output 9, check 188, \mathrm{CZ} on output 9, check 194, \mathrm{CZ} on output 10, check 188, \mathrm{CZ} on output 10, check 194, \mathrm{CZ} on output 11, check 193, \mathrm{CZ} on output 11, check 194, \mathrm{CZ} on output 12, check 188, \mathrm{CZ} on output 12, check 194, \mathrm{CZ} on output 14, check 188, \mathrm{CZ} on output 14, check 193, \mathrm{CZ} on output 19, check 193, \mathrm{CZ} on output 19, check 194, \mathrm{CZ} on output 20, check 193, \mathrm{CZ} on output 20, check 194, \mathrm{CZ} on output 21, check 188, \mathrm{CZ} on output 21, check 193, \mathrm{CZ} on output 22, check 193, \mathrm{CZ} on output 22, check 194, \mathrm{CZ} on output 23, check 188, \mathrm{CZ} on output 23, check 194, \mathrm{CZ} on output 24, check 193, \mathrm{CZ} on output 24, check 194, \mathrm{CZ} on output 26, check 193, \mathrm{CZ} on output 26, check 194, \mathrm{CZ} on output 27, check 193, \mathrm{CZ} on output 27, check 194, \mathrm{CZ} on output 29, check 188, \mathrm{CZ} on output 29, check 193, \mathrm{CZ} on output 30, check 193, \mathrm{CZ} on output 30, check 194, \mathrm{CZ} on output 32, check 193, \mathrm{CZ} on output 32, check 194, \mathrm{CZ} on output 33, check 188, \mathrm{CZ} on output 33, check 193, \mathrm{CZ} on output 34, check 188, \mathrm{CZ} on output 34, check 193, \mathrm{CZ} on output 35, check 188, \mathrm{CZ} on output 35, check 193, \mathrm{CZ} on output 36, check 188, \mathrm{CZ} on output 36, check 193, \mathrm{CZ} on output 37, check 193, \mathrm{CZ} on output 37, check 194, \mathrm{CZ} on output 38, check 193, \mathrm{CZ} on output 38, check 194, \mathrm{CZ} on output 39, check 193, \mathrm{CZ} on output 39, check 194, \mathrm{CZ} on output 40, check 193, \mathrm{CZ} on output 40, check 194, \mathrm{CZ} on output 41, check 193, \mathrm{CZ} on output 41, check 194, \mathrm{CZ} on output 42, check 193, \mathrm{CZ} on output 42, check 194, \mathrm{CZ} on output 43, check 188, \mathrm{CZ} on output 43, check 194, \mathrm{CZ} on output 44, check 193, \mathrm{CZ} on output 44, check 194, \mathrm{CZ} on output 45, check 188, \mathrm{CZ} on output 45, check 194, \mathrm{CZ} on output 46, check 193, \mathrm{CZ} on output 46, check 194, \mathrm{CZ} on output 47, check 188, \mathrm{CZ} on output 47, check 194, \mathrm{CZ} on output 48, check 188, \mathrm{CZ} on output 48, check 194, \mathrm{CZ} on output 49, check 188, \mathrm{CZ} on output 49, check 193, \mathrm{CZ} on output 50, check 188, \mathrm{CZ} on output 50, check 193, \mathrm{CZ} on output 51, check 193, \mathrm{CZ} on output 51, check 194, \mathrm{CZ} on output 53, check 188, \mathrm{CZ} on output 53, check 193, \mathrm{CZ} on output 55, check 193, \mathrm{CZ} on output 55, check 194, \mathrm{CZ} on output 56, check 188, \mathrm{CZ} on output 56, check 194, \mathrm{CZ} on output 57, check 188, \mathrm{CZ} on output 57, check 194, \mathrm{CZ} on output 58, check 188, \mathrm{CZ} on output 58, check 193, \mathrm{CZ} on output 60, check 188, \mathrm{CZ} on output 60, check 194, \mathrm{CZ} on output 61, check 188, \mathrm{CZ} on output 61, check 193, \mathrm{CZ} on output 63, check 188, \mathrm{CZ} on output 63, check 194, \mathrm{CZ} on output 65, check 188, \mathrm{CZ} on output 65, check 193, \mathrm{CZ} on output 66, check 188, \mathrm{CZ} on output 66, check 193, \mathrm{CZ} on output 68, check 188, \mathrm{CZ} on output 68, check 194, \mathrm{CZ} on output 69, check 188, \mathrm{CZ} on output 69, check 194, \mathrm{CZ} on output 71, check 188, \mathrm{CZ} on output 71, check 194, \mathrm{CZ} on output 72, check 188, \mathrm{CZ} on output 72, check 194, \mathrm{CZ} on output 73, check 193, \mathrm{CZ} on output 73, check 194, \mathrm{CZ} on output 74, check 188, \mathrm{CZ} on output 74, check 194, \mathrm{CZ} on output 75, check 193, \mathrm{CZ} on output 75, check 194, \mathrm{CZ} on output 76, check 193, \mathrm{CZ} on output 76, check 194, \mathrm{CZ} on output 77, check 188, \mathrm{CZ} on output 77, check 193, \mathrm{CZ} on output 78, check 188, \mathrm{CZ} on output 78, check 193, \mathrm{CZ} on output 84, check 188, \mathrm{CZ} on output 84, check 194, \mathrm{CZ} on output 86, check 188, \mathrm{CZ} on output 86, check 193, \mathrm{CZ} on output 87, check 188, \mathrm{CZ} on output 87, check 193, \mathrm{CZ} on output 88, check 188, \mathrm{CZ} on output 88, check 193, \mathrm{CZ} on output 89, check 193, \mathrm{CZ} on output 89, check 194, \mathrm{CZ} on output 90, check 188, \mathrm{CZ} on output 90, check 194, \mathrm{CZ} on output 91, check 193, \mathrm{CZ} on output 91, check 194, \mathrm{CZ} on output 92, check 188, \mathrm{CZ} on output 92, check 193, \mathrm{CZ} on output 93, check 193, \mathrm{CZ} on output 93, check 194, \mathrm{CZ} on output 94, check 188, \mathrm{CZ} on output 94, check 194, \mathrm{CZ} on output 95, check 193, \mathrm{CZ} on output 95, check 194, \mathrm{CZ} on output 96, check 188, \mathrm{CZ} on output 96, check 193, \mathrm{CZ} on output 97, check 188, \mathrm{CZ} on output 97, check 194, \mathrm{CZ} on output 99, check 193, \mathrm{CZ} on output 99, check 194, \mathrm{CZ} on output 101, check 188, \mathrm{CZ} on output 101, check 193, \mathrm{CZ} on output 102, check 188, \mathrm{CZ} on output 102, check 193, \mathrm{CZ} on output 103, check 188, \mathrm{CZ} on output 103, check 194, \mathrm{CZ} on output 104, check 193, \mathrm{CZ} on output 104, check 194, \mathrm{CZ} on output 105, check 188, \mathrm{CZ} on output 105, check 194, \mathrm{CZ} on output 106, check 193, \mathrm{CZ} on output 106, check 194, \mathrm{CZ} on output 107, check 188, \mathrm{CZ} on output 107, check 194, \mathrm{CZ} on output 108, check 188, \mathrm{CZ} on output 108, check 193, \mathrm{CZ} on output 111, check 193, \mathrm{CZ} on output 111, check 194, \mathrm{CZ} on output 112, check 188, \mathrm{CZ} on output 112, check 194, \mathrm{CZ} on output 113, check 188, \mathrm{CZ} on output 113, check 194, \mathrm{CZ} on output 114, check 188, \mathrm{CZ} on output 114, check 194, \mathrm{CZ} on output 115, check 188, \mathrm{CZ} on output 115, check 194, \mathrm{CZ} on output 116, check 188, \mathrm{CZ} on output 116, check 193, \mathrm{CZ} on output 117, check 193, \mathrm{CZ} on output 117, check 194, \mathrm{CZ} on output 118, check 188, \mathrm{CZ} on output 118, check 193, \mathrm{CZ} on output 119, check 188, \mathrm{CZ} on output 119, check 194, \mathrm{CZ} on output 120, check 193, \mathrm{CZ} on output 120, check 194, \mathrm{CZ} on output 121, check 188, \mathrm{CZ} on output 121, check 194, \mathrm{CZ} on output 122, check 188, \mathrm{CZ} on output 122, check 193, \mathrm{CZ} on output 123, check 193, \mathrm{CZ} on output 123, check 194, \mathrm{CZ} on output 124, check 188, \mathrm{CZ} on output 124, check 194, \mathrm{CZ} on output 126, check 188, \mathrm{CZ} on output 126, check 193, \mathrm{CZ} on output 128, check 188, \mathrm{CZ} on output 128, check 193, \mathrm{CZ} on output 129, check 188, \mathrm{CZ} on output 129, check 193, \mathrm{CZ} on output 130, check 188, \mathrm{CZ} on output 130, check 194, \mathrm{CZ} on output 131, check 188, \mathrm{CZ} on output 131, check 194, \mathrm{CZ} on output 132, check 188, \mathrm{CZ} on output 132, check 194, \mathrm{CZ} on output 133, check 193, \mathrm{CZ} on output 133, check 194, \mathrm{CZ} on output 134, check 188, \mathrm{CZ} on output 134, check 193, \mathrm{CZ} on output 136, check 188, \mathrm{CZ} on output 136, check 194, \mathrm{CZ} on output 137, check 188, \mathrm{CZ} on output 137, check 193, \mathrm{CZ} on output 138, check 188, \mathrm{CZ} on output 138, check 194, \mathrm{CZ} on output 140, check 188, \mathrm{CZ} on output 140, check 193, \mathrm{CZ} on output 141, check 188, \mathrm{CZ} on output 141, check 194, \mathrm{CZ} on output 142, check 193, \mathrm{CZ} on output 142, check 194, \mathrm{CZ} on output 143, check 188, \mathrm{CZ} on output 143, check 193, \mathrm{CZ} on output 144, check 188, \mathrm{CZ} on output 144, check 194, \mathrm{CZ} on output 146, check 188, \mathrm{CZ} on output 146, check 194, \mathrm{CZ} on output 147, check 193, \mathrm{CZ} on output 147, check 194, \mathrm{CZ} on output 148, check 188, \mathrm{CZ} on output 148, check 194, \mathrm{CZ} on output 149, check 188, \mathrm{CZ} on output 149, check 194, \mathrm{CZ} on output 151, check 188, \mathrm{CZ} on output 151, check 193, \mathrm{CZ} on output 152, check 193, \mathrm{CZ} on output 152, check 194, \mathrm{CZ} on output 153, check 188, \mathrm{CZ} on output 153, check 193, \mathrm{CZ} on output 154, check 188, \mathrm{CZ} on output 154, check 194, \mathrm{CZ} on output 156, check 188, \mathrm{CZ} on output 156, check 194, \mathrm{CZ} on output 157, check 188, \mathrm{CZ} on output 157, check 193, \mathrm{CZ} on output 158, check 193, \mathrm{CZ} on output 158, check 194, \mathrm{CZ} on output 160, check 188, \mathrm{CZ} on output 160, check 194, \mathrm{CZ} on output 162, check 193, \mathrm{CZ} on output 162, check 194, \mathrm{CZ} on output 165, check 188, \mathrm{CZ} on output 165, check 193, \mathrm{CZ} on output 167, check 193, \mathrm{CZ} on output 167, check 194, \mathrm{CZ} on output 168, check 188, \mathrm{CZ} on output 168, check 193, \mathrm{CZ} on output 169, check 193, \mathrm{CZ} on output 169, check 194, \mathrm{CZ} on output 170, check 193, \mathrm{CZ} on output 170, check 194, \mathrm{CZ} on output 171, check 193, \mathrm{CZ} on output 171, check 194, \mathrm{CZ} on output 172, check 193, \mathrm{CZ} on output 172, check 194, \mathrm{CZ} on output 173, check 188, \mathrm{CZ} on output 173, check 193, \mathrm{CZ} on output 174, check 193, \mathrm{CZ} on output 174, check 194, \mathrm{CZ} on output 175, check 193, \mathrm{CZ} on output 175, check 194, \mathrm{CZ} on output 176, check 188, \mathrm{CZ} on output 176, check 194, \mathrm{CZ} on output 177, check 188, \mathrm{CZ} on output 177, check 194, \mathrm{CZ} on output 178, check 188, \mathrm{CZ} on output 178, check 193, \mathrm{CZ} on output 179, check 188, \mathrm{CZ} on output 179, check 194, \mathrm{CZ} on output 180, check 193, \mathrm{CZ} on output 180, check 194, \mathrm{CZ} on output 181, check 193, \mathrm{CZ} on output 181, check 194, \mathrm{CZ} on output 183, check 188, \mathrm{CZ} on output 183, check 194, \mathrm{CZ} on output 184, check 188, \mathrm{CZ} on output 184, check 194, \mathrm{CZ} on check 185, check 188, \mathrm{CZ} on check 185, check 194, \mathrm{CZ} on check 186, check 188, \mathrm{CZ} on check 186, check 194, \mathrm{CZ} on check 188, check 189, \mathrm{CZ} on check 188, check 191, \mathrm{CZ} on check 188, check 192, \mathrm{CZ} on check 188, check 194, \mathrm{CZ} on check 189, check 193, \mathrm{CZ} on check 190, check 193, \mathrm{CZ} on check 190, check 194, \mathrm{CZ} on check 191, check 194, \mathrm{CZ} on check 192, check 193, \mathrm{CZ} on check 193, check 196, \mathrm{CZ} on check 194, check 196

Or no Clifford gate at all: run \mathrm{T}^3 on rotations 5, 9, 16, 19, 22, 24, 39, 41, 42, 53, 57, 59, 62, 71, 72, 73, 77, 88, 90, 94, 104, 106, 112, 115 and 274 more (listed below); \mathrm{T}^5 on rotations 2, 8, 10, 11, 12, 14, 15, 17, 23, 26, 29, 30, 31, 32, 33, 34, 38, 40, 44, 45, 51, 67, 69, 76 and 34 more (listed below); \mathrm{T}^\dagger on rotations 1, 4, 7, 13, 18, 21, 28, 35, 47, 52, 54, 55, 58, 60, 63, 74, 81, 89, 91, 97, 99, 100, 103, 105 and 21 more (listed below), and \mathrm{T} on the rest. 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.

All 298 rotations at T³

5, 9, 16, 19, 22, 24, 39, 41, 42, 53, 57, 59, 62, 71, 72, 73, 77, 88, 90, 94, 104, 106, 112, 115, 117, 121, 130, 132, 137, 138, 139, 155, 157, 159, 160, 167, 169, 171, 172, 175, 177, 178, 179, 184, 190, 199, 200, 202, 203, 204, 205, 206, 209, 213, 215, 217, 218, 219, 221, 223, 225, 227, 229, 230, 235, 236, 238, 239, 240, 241, 242, 243, 244, 246, 247, 249, 250, 253, 254, 255, 256, 258, 259, 260, 265, 267, 270, 271, 272, 273, 276, 280, 281, 283, 285, 287, 288, 289, 291, 294, 295, 298, 299, 300, 302, 305, 306, 308, 309, 310, 313, 314, 316, 317, 318, 320, 321, 322, 325, 326, 327, 328, 329, 330, 331, 333, 338, 339, 340, 341, 344, 345, 346, 347, 348, 349, 354, 356, 359, 361, 362, 363, 364, 366, 367, 369, 371, 372, 376, 378, 381, 385, 386, 387, 388, 389, 393, 396, 401, 406, 407, 408, 410, 411, 412, 415, 421, 423, 424, 432, 433, 434, 437, 438, 440, 441, 442, 448, 449, 451, 453, 454, 456, 457, 458, 459, 461, 462, 463, 466, 472, 474, 476, 477, 479, 480, 481, 482, 485, 486, 488, 489, 493, 496, 497, 498, 499, 500, 501, 506, 507, 508, 514, 515, 516, 517, 518, 521, 522, 524, 525, 526, 529, 530, 531, 533, 534, 536, 539, 541, 543, 544, 547, 548, 551, 552, 553, 554, 557, 559, 560, 565, 567, 568, 572, 573, 578, 581, 582, 585, 586, 588, 589, 591, 592, 596, 597, 600, 602, 604, 605, 606, 607, 609, 613, 614, 616, 617, 618, 620, 621, 623, 625, 626, 629, 633, 634, 635, 637, 639, 640, 641, 642, 643, 644, 647, 651, 652, 653, 654, 656, 657, 661, 662, 669, 670, 673, 678

All 58 rotations at T⁵

2, 8, 10, 11, 12, 14, 15, 17, 23, 26, 29, 30, 31, 32, 33, 34, 38, 40, 44, 45, 51, 67, 69, 76, 78, 79, 83, 87, 92, 95, 111, 116, 118, 119, 123, 125, 129, 131, 133, 141, 142, 145, 146, 147, 149, 151, 153, 154, 164, 165, 170, 173, 174, 181, 183, 201, 353, 355

All 45 rotations at T†

1, 4, 7, 13, 18, 21, 28, 35, 47, 52, 54, 55, 58, 60, 63, 74, 81, 89, 91, 97, 99, 100, 103, 105, 107, 109, 110, 114, 122, 134, 135, 136, 140, 143, 150, 152, 158, 161, 162, 180, 182, 185, 251, 368, 420

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/679.185.3.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-679.185.3.a.txt", "w") as out:
    out.write("\n".join(lines) + "\n")

Distance

d=3, exact. No fault of weight below 3 is both undetectable and damaging. One of weight 3 is.

Exactly 11,230 faults of weight 3 are undetectable and damaging, so A_{3}=11{,}230. If each rotation fails independently with probability p, an accepted run has a damaged output with probability A_{3}\,p^{3}+O(p^{4}).

A damaging fault of weight 3 sits on columns [0,3,56].

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

built from one of Wills's parent codes (weighted Reed-Muller, restricted-light or one-heavy) by searched punctures, paired-column contractions or logical-pair checks, in the pure-T distillation-exponent release (gamma = log(n/k)/log d, n < 1000); a verified witness, not a maximum -- only the release's own frontier points are the lowest gamma it knows

Found by: AI search (gamma frontier): from Wills parent codes

Discovery: AI search

1 recorded source

[
 {
  "regime": "AI search (gamma frontier): from Wills parent codes",
  "file": "gamma_frontier_release/protocols/restricted_light_679_185_3.json",
  "label": "restricted_light_679_185_3",
  "N": 197,
  "d": 3,
  "d_is_exact": true,
  "origin": "Wills-derived four-block Schur-orthogonal restricted-light parent (|S|=216), with searched graph punctures",
  "provenance": "gamma frontier release record restricted_light_679_185_3 (source catalogue id restricted_light_679_185_3); construction: Wills-derived four-block Schur-orthogonal restricted-light parent (|S|=216), with searched graph punctures; matrix 7b0bfdd3b6ca5f22...; the release states d=3 (exact), gamma=1.1835524833394437 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/7b0bfdd3b6ca5f2257e621cb1dfd31591b731e821dee1815fc459a63093599ee.matrix"
 }
]

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/679.185.3.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[1173].