[[691, 189, 3]] magic-state factory, T0·T1·T2·T3·T4·T5·T6·T7·T8·T9·T10·T11...

The circuit

The 201\times691 matrix. Rows are wires and columns are rotations. A 1 means the wire takes part in the rotation, and the number beside each wire is its row weight. Scroll sideways to see every column.

output wires
check wires, measured and postselected

wire	0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \|
out 0 (263)	·1·1·1·······1·1··111··11··1·11·111·····1··1···1··1·111·11·1·1·11····1·11···1·1···1·1·1·1·1····1···11·111···1·11···1·1···1···1·····1···1·11·11·1···1····1···1···1·1··11········1··1·11··1·1···1·11······1·11····11··1·11·1·1·1·11····1·····1·1·····1·1·1··1····1·1·····11·1·1·11····11·11····1···1·11·1·1···1·1··········1·1·1··1·1··1····11·1·1·11·1·111··1·1·1······1··1····11·1···11·111·111······1··1··1····1111·1·1·1····11·1··1·11·11··1··11·1·1····1··11·111····1·11·····11··1···1···1·····1·1·1·1·11···1·1···1··1·1·11·········1·1·11····11·1·····1·11···1··11··11··1··1·11···1··1·1·1···1······1·1······1·1··11···1···1·······1·1··1·····1··1·111·1·1···1·11111·11·······1···1·1·1·1··1··11··11·1·11·111··
out 1 (239)	···111·1······11···1·1··1·1········1··1·1··11··1·1···1·11··1·1··1·····1·11··1····1······11···1·11··1·11····11··1··11··1·1····1··1··11·11·1·1·1····1·····1··1·1···11···1·····1··1···1····11····1··1······1111···11··11··1··1·····1··111···1·1··1··1··11······1··1·111···1·····11······1·111···11·11····1·······1·1·1····1·1·11····111·1·····1·1··11··1···1····111·1·····1·1·····1··1···11·······1··1··1··11·1·1····1·11···1····1··1···1·111··1······11··1··11·1·11·····11··1···1·1·11····1·1·11···11·1··1··1···1··1··1·1··11··1······1··1··1······1·1······1··1···11·11·11··11····1···1·······1·111···1··1··1··1···11······11···11·1····1············11···1·1·11··111··1···11·1··1·1···11···111·1···1··1·11··1···1··
out 2 (247)	··1··1·1·11··1·1·111·······1····1·11···1···1··1··11·11·111·····11···11··11····1··1··1···1·11·1·1··1·1·1·1·111·1···1··1····11····1·1·1·111·11·1·1111········11··1·11·······1··1···11··1······1···········111····11·11···1·11··1··1···1·····11··11····1······1···11··1······11··········11111··1·····1··1····11·1·1········1·1·11··111······1·11··1·1····1····1··1·111··1··1···111········1···1·11····1···1·1··1··111·11·1·······1·1·11··11·1·1···1··1·111··1·1·1·1·1·1·11·1····1··1···1·1··11·1···111··11··11111·····11·1·11·······1··1··11··1··········1·········11·1··11·11·····11··1···1···1··1······11··1·1····1·····1··1··1···1·········1··11·········11·11·11··1·1·1111······1···1·11·111····1··11·1··1···1···
out 3 (255)	·1·1·111·1·1···11·11·1·1·····1··1····11···111····1···111··11···11····11··1··1····11···11111···111····1····11·····1···11·1·1·····1·11··1111···1·1·1·············11····11·1··111····111··111·11·1·····1····111···1111····1·1···1·1····1····1111····11·······11····11··1·····11··11·····111·····1··1··11···1············1·1·11111··11···1··1··111·······1·····1·1·1111······11···11··1··1···1··1···1·1····111···1····111···11·····1·1··11··11··11···11111···111···1····1·1······1···111·1····111····1111·····11·1·········11···11·1···111···111·1···1·1··11··1····1··1·11·1111······11······1·1····1····1·111····1·1······11·····11···1········1··1·····1·1·111·····11·11·1·······11·1··1111·11···11··1·11······1·····
out 4 (263)	···11·····1···1·111·1·····1·····1·1··1·1··1···1·111·11·11··1···1····11··11··1····1·····1··11··1···1·1111···11··1·11··1··1111·1··1··1··11·1··1··11··1······11·1···11···1·1·11·1·1·11·······1···1·1···1···11·1···11···111··1·1·1·11·11·1···1··11·1··11········1··1·11·1···1·11111······1····1·····1··11·1····1··1·1·1··1····1··11···11·1·····1···1····1111·····11····1···1··1··11··1·····1····1·1·1···1··1··1·11··111·11···1·····1···11··111··1·····1··11··1··1·1111····11··1··11··1·111·11·1·1····11·1···1··11··1··1·1·1··11··1·1··11·1·111··········1·····1·1··1·11··1·11···11·1··1···1··1·1·1·1·1···1···11··1··11········11···11··1·····1··1··1··1·11···1······1·1·111·1·11·1·1·····1··11··11·1···1···1····1111···
out 5 (247)	······1··1···1··1···11·····1·11·1····11·1·1·1··1111·1··111············1·11····1··1··1··1·1····1·1··1·11·1·111·11·1·1··1·11···1··1·1·1·111·1·1······1····1·1·1··1··1·····1··11······1·1·1·11·1···11··1···111·······11·11····1···11···11····1·11···111·1·····1···11···1··11···········1·1·1········1····1····11·1·1····1·1·11·1·····1·····1·1·1··1·11··11·1·······1·1···1···1······11·····111·1···1·1··1·1·1·111··11··11·1·············1·11·1·1···1·1·1····1·1·1·11·1·1·11·11··1··1·111···1·11·1···111··1·1······1·11··1·1··1····1···11·····1·11·····11··1····11·1·11·1·····11·1·1······1····1·1··11·····1·11·1·1·11·1····1··1··1····1···1·1··············1·1··1·····1··1·1111···11·1··1·1····1···1·1··1·1·1·1·11·1··
out 6 (271)	··111·11····11·1····1···1·1··1··1··1··1·1·1···1···1····11··1···11·····1·11··1··1··1·1·1·11····1···1·····1·111····11··1····1··11···1···11·1··1··1111·····1····1··11·1·1·····111·1·11·11·111··1····1··1···1111··11·111·1·1···1·1·1·1···1···1··11·1····11······1···1··11··11·111·······11····1··1···1······1···1·1·1·1··1···1·11····11··1··1·1111··111·1111····111·11··111··1·······1····11·1··1··1··1··1·1··1·····1···11···1·····1·1···1·111·1·1··11·11····1··1·····1·1·11·····11··1···1··11·1·····11·1···1··1111··1····1·11·11······111·111·111···1·1···1·····1·1·11·1111·111·1···1····1··1·1··1··1···1···11··1····11······1···1···11···1·1··1··1··1·····11······11·1···1·111·1·1··1···11···11··11·11·11·11·11111···
out 7 (239)	·····11·····1·1·1··1·······1··1·1····11·1··1··1·1···1··111·····1·······111····11··1···11·1···1·1··1····1···11·1······1··11···11····1··1·1·11·1·111·1····1·111··111·1·11·1···1··1·11·1··111··1·1·11······111···1·11··1·1···1··1···1·1······11··11··11·1·1···1·····11····1··11·11·······11·11······1······1··1··1··········11·1·····11····1······1·1··1··········11····1·1··1····1········1·1·1···1·1··1··1·1·1····1··11·1·······1······111·11·1···11·1··1··1·1····1····11·1·······1·11···11··1····1·1··11··1111·1·11·11·111·111·1····1··111·1·1···1·1···1··1·11···11·1·1·11··1··1·····1···1····11·······11··1·1··11·1·11·1······11······1····1··1····11····11··1·1··1···11·1·······1··1·1····11··1······1·1··1······
out 8 (231)	·111······1······1··1··11·······1··1···11·····1111··1·11···1·1······1····1··1····11········1·1····11·1·1··11···1···1·····1·1····1·11··111··11···1·11····1······11·····1···11·1·1·1··1···1···1·1·11·······1·1····111···1···11·········1····1··111···111····11····11·11··11··11·11····111·111·····11······1················1····1·11···1··1···1··1111·1·1·1··111·····1·········1···1···11·····1··1····11····1111···1·11····1····1····1····11··11········11····11·1·1··1·1···1·····1···1··1··111····111···11···1·11·1·····11····1····11·1·11··1·····1·····1··1·11····1··1··111····1·····11··········1·····1··11·1···111···11·····11··11···1·1·····1··1··1·1111··11·1·11···1····1·····1······111···11····1·111·11·1·1··
out 9 (255)	·1·1111·····1·11·11·11·····1··1·1·11···1··1·1··1·11·1·1····1···1······1111····11··1···1·1·11··1·1··1·1111·1··1·1·····1··11······1·1·11···1·1·1·11··1····1···1··11··1·11···11·······1·1··11··1·1·····1···111···1·11··11·1·1·1····1···11·1·1·1··11··11·1·1···1·····1111···1···1··1·····1·1··1······1··1·1····11···1·1·······1·1····11··········1··1····11·1··1·1111····1·1·1···11··11·····1·1·1·11····1··1·1·1·1··11·1·····1·····1·····1111·11·1···1·1·11··1·1·1·1111·1···1·1····1·1·11·····11·1·1····1··1··111··1·1···1·11··111····11······1·1····1·1···1··1····1·11·1·1·11··11···11···1······1··11··11··1··1·1··11·1··1·1······11·11·····1········1····1·1·1····1··1·11·11·1·1·······1·1···11·········1·1····11·1··
out 10 (247)	·1·11··1·11·1·1·1··1····1··1··1·11···11·1··1··1·111···1···11·1··1···11·111····11··1····1·1·····1··1·111·1·1··1·1·111··1····1····1·1··1···1··1·····1·······111··111·1·11·1···11···11··1··1···1·1·11······11····1·11····1···1··1·11····1·1····11···1··1··1···1·····11·1··1··11···1·····1·······1··1··1··1·····1···1·1··1·1·1·1·11···11····1······1·1·····1···1·11··111·1·1··1····1······1·1·1·11··1·1··1··1·1·11··1··1····11····1··1·11·111·11·1····1·1·····1·1·111·1·1···1·1··11·1·1····1··11···1····1···1·····1···1·11·111·111·1····11··11··1····1·····1··1·11···11···1·11·····1·····1···1·1·1···1··1····11···1···1···1·1······11··1···11···1··1·······1·1·······11·1·1··1·1·1·11·1···1·11··11··1······1·1·····1···
out 11 (255)	····1·11·1··111··1·1·1·11····11·1·11···11·111···11·······11··1··1····11··1··1··1····1······1··111···11·1··1·1111···1····1·1··1··1·1111·1··111···1·········1····1·111······1··1·1··111····1··1···11··1····1·1··1·1··11·1······1······11·1·····111··1·······11···1··111··1··1·1·1·········111··1··1··1····1··1··1·1·1······11111··1····1··1·11···111···1·1······1·111··111·····1·1··1··11··11·1·11····11·111··11·········11·····1··1··11··11·1····1·····1··111··11·1··1··1111·····1··1·1··1·1111·1··1···111···1·····1····1·111······1··1·1·111·······1···1····11·1··1··11·1··11··1·········1······11·11·····11·1··1······11··1····1·11···1····1·····1··1·······11·111·1··11·11·1····1··1111·1····11·11···111···1·1···
out 12 (247)	·1·1··1···1··1··11···1·1···1······11·111··1·1·1···1···1·1111········1·1·1···1·1···1·1·11·1·1·11·1·1···1·1···1·11·1····1·1··1·1·····11··1·111····1·1········11···1·1··11·1·1·1··1·1·111··11····1·····1···1··1···1·1·1······1····11···1····1··1·11·11·1·····1····1·1111······1··11····11···11·····1·····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·····111·1·1··1·11·····1··1·1·111·········1·1·1·11··1·1111·1·11·1·11···1·1····1·11··1····11···11···11····1·1·11····1·1·····11··1·1·11·1··1·1··11·111····1·1······1····1·1···1·1·1·1·········1·····1·1··1····1···1·1·11·1·1····1···1···11·11···········1·····1·111····1·1·1···11111····11····1·1·11·11·1··11····1····1·····
out 13 (239)	··1···1······1··1···11·····1····1····11·1·1·1··1111····111···1········1111····1··1··1·11·1····1·1··1111·1·111·1··111··1·11······1·1···1·1·1·1····1······1·1·1··1·11·····1··11··1···1·1···1··1···11··1···111····11·11·11····1···11····1····1·11···111·1·1···1···11······11··1··········1··········1··1·1·····1·1······1·1··1·1·····1·······1·1··1·11··1111···1···1·····1···1······11·····1···1···1·1··1·1·1·111··1···11·1······1······1111·1·1···111·1····1·1·1111·1·1·11·1···11·1·111·····11·····1·1··1·1····1···11··1·1·11····1···11··1··1·1······1···1····11·1·11·1··11·11·1·1······1····1·1···1·····1·11···1·11·1··1·1··1··1········1·1·····1··········1········1·11··11····11···11·1····1·····1··1·1·1·1·1111··
out 14 (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 15 (247)	···11·····1···1·111·1···1·1··1···11··1·1··1···1··1··1··11·11···1····11··11··1····1····11··11··1···11111····11····11··1··1111·1··1··1··11·1··1··11··1······1··1···11··11·1·1····1·11·······1···1·1···1···1111····1··1·11··1·1·1··1··1········11·1··11········1··1·11·····1·11·11·····11····1·····1··11·1····1··1·1·1··1····1··11···1··1·········1··1··111·····11····1···1··1··11··1····11·1···11·1···1··1··1··1···1··11··11·····1···11··111··1····11··11··1··11111·····11·····11··1·111·11·1·1····11·1···1··11··1··1···1··11·11·1··1····111··········1·····1·1··1·11·11··1··1·1·1··1···1··1···1·1·········11··1··11········11···11········1··1·11····11··11······1·1·111·1·11·1·1·····1··11··1··1·······1···1·111···
out 16 (239)	·1111111··1··1··1···11·····1··1······11·1·1·1··11·····1····1···11···11··11····1··1··1··1·1····1·1··1···1·····1·······1·····1··1····111···1·1·1·11·1·······1·1··1·11··1··1··11······11··11·1·1···11··1···111····1··1··11····1·····1·11··1·1·1···1····1······1···11···1··11··1·111····11·1·11··1··1··1····1·······1·1········1·11···1·······111··1·11··11·1··1111111·1··1···1······11·····1·1·····1·1··1·1·1·11······1·····1···1·1·1·11··11·1·1···1·1·1····1·1·1···1······1········1·····1·1··11·1····1··1··111·1···1··1·1·11·1··1···11·····11·1···1··1··1····11·1·11·1··1··1··1·1······1·······111···11··1····1····1·····1··1··1····1···1·1·····1····11·111·1··1·111·1··1···1·1········1·11··1·····11·1·1·1·1·11·1··
out 17 (255)	··1·111··11·1·111·1··1·1···1············1·1·1·1·1·1····1··1··1·1····1·111···1·11·1······1·1··11·1·1···111··1·1·1···1·1··1··1·······111111···11·1··1·······111······1·······1···1·1·111···11····111··1···1··1··1·1·1·1·11·11·····1···1··1··11·1····1·1··1··1·····1·1·1··1···11·1·······111·······1···1·1·1··11···1·1······11·1·1·1111·1··1··111·1·1···1······1·111·11·1·1·11···1···1··1··1············1·1·11·1···1···1···1·····11···1·111·1111······1·1·1·1·11···111···1·1·1·····11·1···1····11·1·111····1·11··1···1·11·····1·······1···11·111······11·······11·1·1···11·1·1·1··1·11··1·······1··1···1··11·1·····1·1···11······1·1··1···1·······1··1··1····11·1····1··11111·1·1····1··1·1·11111·11··1·111·1···1·····
out 18 (239)	··1··1······111····111········1···1·······111111·11·1·····1··1·1···············1·11·1········1111·1111111·1······111·11······11·1·11···1···111·11··········1····1111·11····1···1·11111·11·····1·····1·········11·1111·····11···111·1·1···1·11111·1·············1111·····1·1··11········1·11·········1·1·1··11···1····1·1·1·········1······1·1·····1·111·1···1··1·····111·······1·11·······1···1········11111·1··11······1·····11···········111··1······1·1111111111·1········11·111·····11111·····1····11·111·······1···111111·····1···1111111···1········1····1······11·1111········11····1·111·1···1··1111·11············1··111········1··1·······11·····1··1·1····11111·1···11·1··········1····1··1·····1111·1··
out 19 (247)	··1···1······1··1···11·····1·11···1··11·1·1·1··1111·11·111···1········1111····1··1··1·11·1····1·1··1·11·1·111·11·1·1··1·11···1··1·1·1·1·1·1·1······1····1··11··1·11·····1··111·····1·1···1··1···11··1···111·······1···1····1···11···1·····1·11···111·1·1···1···11······11···········1·1·1········1····1····11········1·1·11·1····111······1·1··1·11·111·1···1···1·····1···1······11·····111···1·1·1··1·1·1·111··111·11·1······1······1111·1·1···111·1····1·1·1·11·1·1·11·11··1··1·111···1·11·1··11·1··1·1······1·1··11·1·11····1···111····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··1·11·····11·1··1·1···111····1··1·1·1·1111·1··
out 20 (255)	····1111·········1··1··11····1···111···11·····11··1·11··111····11····111·1··1····11···1····1·1····11··1·1···1111·11··11·1·1···1······1····1··1·1·1·············111····1··11····1·1···1··111·1·1·11·······1·1···11111111···11····11·111·1···11····11····1··11····11·1···11···11·········11····1··1··11·1····11·1···1··1·1·11111··11···1······1··1·1····1·1·····1111···········1···1···11··1···111····11····11····111··1·11······1·1··111·11··11···1····11····11··1·1····1111··11··111·1···1·····1······1···11·1·········111···1····1····11···1····1·11··1··1·11····1··1·1111111·1·····11······11111··1···11····1·1·····111·····11··1····1·1········1·1······1·1···11·111·111··1·11·1··1111·11···1·····1·1·1····1·1··
out 21 (247)	·1····1··11··1111··11···1·11······11·1····11····11····111····1·1····1111······1·····1··11····111·····111···111····11·11····1·11·1···1111·······111······1·1111·1·····11·1··1···1····1····1··1·1·1···1······1······111·11··11····11·····1·······1·1···1·1···11···11111···1··1···1········1·1······1·1··1·1··1··1········1····111··1·1·1····1·11·11·1·111····1····1·11··11·11····1·1····111·····111······11···11·····111········11···1111···1·····1·11···1·11····111····111·····1·111····1111··1·1·11········111···11·1111····11·1···1···1···1·······1···1··1·1··1·····1····111··1·1···11······11·····1········11····1··1·111···111·11·····1·····1·······1·····1··1··11·111·1·····1······111·1·1·1··1··1111··1111····
out 22 (247)	·111·111·······11·1··1·1······1··1···11···111····1····11···1···11····11··1··1····11···11111···111····1·1··11···1·1···11·1····1··1·111·1111···1·1···············11·····1·1···11····111···111·1·1·····1····111·····1111··1·1···1·1····11····111····11·······11····11··1·····111·11····1111·····1·····1····1··1·········1·1··1111··11···1··1···11····1··1·····111·111·······11···1···1··1····1··1··1·1····111···1·····11····1·····1·1··11··11··11···11111···111···1·1··1·1···1··1···111····1·1111···1111·····11···········11····1·1····11···111·····1·11··1··1···11··1·11···1111····11······1·1····11·····111····1·1······11·····11···1········1··1··1··1·11111·····1··1··11······11····1111·11···11····11····1·1·····
out 23 (255)	···111···11·1····1111···1·11·1··1·1···111·11·····1··11···1·1·········11·····1·11·11······111·111····111·······1··1·········1·11·1···1··1111111··········1··111·11·11·1····111·······1··1·1··1····1··1······1··1·11·1·1···111···111··11···111111······1·····11··1·······11···1·······111111·······1·1··1·1··1····1·1··1······111····1·1··1··1·····1··1111·····111··11·1·······111·1····1111··1·1···1·11·11····1···11····1·1··········11···11111······1111·11···111········1···1·········1111··1····111·111·1······1··11111·111·····111······1·1·····1···1·····1·1·····11·11·1·1····1··11····1·11·11···1·11111·······11···1·11···········1·1········1·····1111·11····11·111··1·1·1·······111···1·11··1·····1··1111···
out 24 (247)	·1··1·1······11···1·11·11·11·1···1·1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1···11··1··1··11··1··11··11·····1···1·1···111··1··11······1111·11··········111····1111··111·····1········11····111···11··111·1·1···11····1···11··1·11··1··1·1·····11····1·1··1·1·········1·········11···1···1···1·1····1····11··1··1··1·1·11···11···1·11···1··1·1·····11······1··11··11111···1·1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1··11··1···1··11···1··11·11····1··1···1····111··1··11··1·11111··········111···1111····1·11·······1·····1·1··111···1·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1·······1··1······1·····11·1·1·1·1··1······11·1··1··1·11···11···1·11···
out 25 (247)	···11·····1···1·111·1·····1···1·111··1·1··1···1··1··11·11··1···1····11··11··1····1····11···1··1···1·1111···11··1·11··1··11·1····1··1··11·1··1··11··1······11·1···11···1·1·11·1·1·11·······1···1·1···1···11·1···1·····11··1·1·1··1··1·1···1··11·1··11········1··1·11·····1·11111······1····1········1··1····1··1·1·1··1····1··11···11·1·····1···1····1111·····11····1···1··1··11··1·····1··1·111·1···1··1··1··1···11·11···1·····1···11··111··1····11···1··1··1·1111····11··1··11··1·11··1··1·1····11·1···1··11··1··1·1·1··11··1·1··11·1·111··········1·····1·1··1·11··1·1·····1·1··1···1··1···1·1·1···1···11··1··11········11···11·····1··1··1··1··1·11···1······1···1·1·1·11·1·1·····1··11··11·1···1···1····1111···
out 26 (263)	···1·1·1·11··11···1·11·11·11·1··1··1··1·····1···1····1··1·1111··1···1··1·1····1··11·1·1··11··1··1·····11··1·11···111····1··1·11···1111··11···1··11······1·1111··11··········11·1··11···11·1·····1········11····111·1111··111·1·111··1··1·111···1··1··1·1··1·1·····11····1·1···1······1111·1··1···1··1·1····1··1······1····11··1·1··1······11···11·1·1·1······1·1·111··11······1··11··11111··1··1··1······1··1·····1··1··11····1··1·1··1·1·1·11··11··11·1···1····11··1··11····11·1··1···111·111·1···11·····1·11···11·111·11··········11·1·11··1···1··1·······1·····1·1··111·111·1··1··11··1·1·11·1···11·11····1··1··1··11··1·····1·1······1··1········1···111·1··11·1·11·1·1····1·····11··11··1····11···11··11·1····
out 27 (255)	··11·1·1··1··11···1·11·11·11·11····1··1·····1···1·······1·11·1··1···1····1·······11·1·1··11··1··1·····11··1·11·1·111····1·11·11···11·1··11···1··1·······1·1111··11··········11·1··11····1·······1········11····1·1··111··111·1·111··11·1·1111··1··1··1····1·11····11····1·1···1·····11111·1··1··11··1·1·······1······1···111··1·1··1······11···11·1·1·1·····11·1·1·1··11······1··11··111111····1··1······1··1········1··11····1··1·1····1···11··11··11·1···1····11··1··11·1··11·1··1·1·111·11··1···11·····1·1····11·111·11··········11·1·11······1··········1·····1·1··1·1··11·1··1··11··1·1·11·11··11·111···1··1··1···1··1·····1·1······1··1········1··1111·1··1111·11···1····1··1··11··11··1····11···11··11·1····
out 28 (247)	·1·····1·1··1····1111·····11·1····1···111·11······1·11111····1·11······1····1·11·11···1··111·111····1··11·1111·1···1·11·11········11111········111111·······11·11·11·1····111··1·····1··1·1·1····1··1·····11··1·11···1···111·······1···1·······1·1111··1···11··1····1··11··11111····1·····1··1··1···········1·1·1······1···1·········1··1··1·····1··111····1·····11··1·······111·1·····111····1···1·11·11·······111111········11·1····1··11111···1··1111·11···1··11·1·111·1·····11111······111·1·1·········11111·····1111·111·····111··1····1····1··1··1·····1·1····111·11···1····1··11········1····1········11·111···1·1·11·······1···1·1·····1··1·11·11·······111······111····1·····1········11··1·····1··111····
out 29 (247)	··1·1··1·1··1·1·11·11··11··1·11··1·1·111···1···11·1·1··1········1····1··1···1·11·1·····1·1·1···1···1··1·1··1·1·1·1····1··11··1·····1·1111··1····1·11····1·1·1····1·1·1··1·1·1··1··1·11··················1·11··11··1········1·1··1······1·11·1·11·1·1·1····1·····1·11····1·11··1·······1··11··1··11·11·1·1···1···1·1··1·1···1·1··111··1······1···1···1·111···1·1··11··1·1··1··1·1·1···11·111··1·11·1·1···1··11···11··1············1··1··1·1111·····1·1·1···1··1··1·1···1·1·1··1····1·11··1···1··1·111···1····1·11·11··1···1·11··1··1·1··1·1·11····················1··1111··1···········1··1···1······11·1·1·1·11··1·1···1······1·1·1······1··1··1·····1····1···1·11111111·1·1·1·11··1··1·1·111··1·····1··1···1·111··
out 30 (247)	····1·11·1··111··1·1·1·11········111···11·111····1···1··11···1··1····11··1··1··1····1······1··111····1·1··1·111···11····1·1·····1·1111·1··111···1·········11···1···1·1····11·1····111····1··1···11··1····1·1··11······1······1·1····1··1·1···111··1·······11···1··111··1··111·1·····1····11··1··1··11···1··1··1·1·1······11111··1··1·1···11····1111··1········1·111··111·····1·1··1··11······111····11·111···1····1··1·1······1··1··11··11·1····1·····1··111···1·1··1··111····1·1··1·1····1111·1··1···111···1·····1·1··1···11·····11·1···111·······1···1····11·1··1··111·······1·········1·1····1···11····11·1··1······11··1····1·11···1····1··1··1··1··1·····1·111·11·11·11·1····1··1111·1··1·1··1····111·1·1·····
out 31 (239)	··1···11·11·1·11·11·11·····1····1111···1··1·1··11····1·111···1··1···11··11····11··1·····1·11··1·1··11··1·1·11·1··1·1··1···11··1····1··111·1·1····11········11··11··1·11···1········11·······1·1·····1···111···1··1···1·1·1·1·····1·111····1·11···1··1······1·····111····1·····1·······1·1····1·····1····1··1··1·1····1·1···1·11··111·········1··1·1··11·1···1···1111·1·1·1···11··11·····1···1111····1··1·1·11·····1·11·1······1··1·11··11·11·1·····1·11··1·1·11··1····11·1···1··1·1··1·1·1··1····111··1·1····11·····11·11··111····1·······11···········1··1····1·11·1·1··1···1···11···1·······1111·····1·11···1···1·····1······11·1······1···········1····1··1···1··1··11·11···11·····1·11·111········1·1··1·11·1··
out 32 (247)	·111·111·1·····11·11·1·1·····1··1·1··11···111···11···111··11···11····11··1··1····11···111·1···111····1····11·····1···11·1·······1·11··1111···1·1···············11····11·1··11·····111···11··1·1·····1····111···1111··1·1·1···1······1····1111····11·······11····11··11····11··11·····111·····1·····11···1············1·1··1111··11···1··1··111······11·····111·1111······11···11··1··1···1··1·1·1·1····111··11····111···11·····1·1··11··11··11···111·1···111···1····1·1······1···111······111····1111·····11···········11···11·1···11····111·····1·1···1··1····1··1·11·1111··1···11······1······1····1·111····1·1······11·····11···1········1··1·····1·1·111·····1··11·1·······11····1111·11···11··1·11·····11·····
out 33 (247)	·1··111··1··1·····11···1··11·····111··1···11··11····1·11·1···1·······11··1····11·········11···11··111·11··11··1··111·····11···1···111·1···1·11··1·11········11···111·11····111···1·······1····1·1···1····1····11··11111··1······11···1···1·11··1···11·····1·1··111·11······1··11····1··11·1········11·1····1····1·1·11···1··11··11······1··11··11····1··1··1··111·1··1········11·····1·11····111··1····11·11·····1·11··1······1·····11··1·11········11···11·111·11··1·1··1···11·1···11···1·111···1····1·1·1·1·11·····11··11111·····111··1··········1······1·1··1··1···11··1111·1··1··········11··1···1··11···1···11····1··11··11··11···········1·····1·11··1·1··1···111·1··1·1·1··1····11·11····1··1·1·11····1··1··
out 34 (279)	·111·1···11·111··1·1·1·11·······1·11···11·111·····1·1·11··11···1····1··1·1··1··1····1·1····1··111···1·1·1··1···1·11··11··1·1·11·····1·1111···1·1·111····1··1···1·111·1·1··11·1····11·1····1·1···11··1····1·1··11···11·1······1··11·11····1111····1·111·1··11···1··11···1··1111·1····11111·······11··1·1·····1········1·1·1····1·11·1·1··1·1··1·1111··1·····111·1··11·111·····1·1··1··11·····1·11····11·111······11·11···11·····1···1··1·11·1····11····1··111··1·1·1···1···1··11··11·1··111···1···1111·····11·111·1··1··1·1111·····11·1···11·1·······1··1····11·1··1··111···11··1·········1···1111····1·111····1··111··111··1····1·1····1····1··1··1·1··11111·1····11·11··1·····11·1······111·1·11·1···1111·1·1·····
out 35 (255)	···1·1·1·11··11···1·11·11·11·1··1·11··1·····1·1······1··1·11·1··1···1··1·1····1··11·1·1··11··1··1·····11··1·11···111····1··1·11···11·1··11···1··1·······1·1111··1···········1··1··11···11·1·····1········11····111·11·1··111·1··11··1··1·1111··1··1··1·1··1·1·····11····1·1···1······1111·1··1···1··1·1·······1······1···111··1·1··1····1·11···11·1···1······1·1·111··11······1··11··11111··1·11··1······11·······1··1··11····1··1·1··1·1·1·11··11··11·1···1····11··1··11····11·1··1···111·11··1···11·····1·1····11·111·1···········1··1·11··1···1··1·······1·····1·1··111·11··1··1··11··11··11·1···11·111···1··1··1··11··1·····1·1······1··1········1···111·1··11·1·11···1····1··1··11··11··1··1·11···11··1··1····
out 36 (255)	·1·1·111·····1·1··111··1···1··1·111·····1··1···1··1···1·11·1·1·11····1·11···1·1···1·11··1·1····1···11·111···1·11··11·1···1·········1···1·11·11·1···1····1·1·1···1·1···1········1··1·11····1···1·11······1··1···111··1·11·1·1·1·11···1······1·1·····1·1·1··1····1·1·11··11·1·1·11····11·1·····1···1·1··1·1···1·1··········1·1·1··111··1····1··1·1·11·1·111··1·1·111····1··1····11·1···1··1·1·111······1··1··1····1··1·1·1·1····11·1··1·11·11··1··1··1·1····1··11·111····1·11···1·11··1·······1·····1·1·1·1·11···1·11··1··1·1··1·········1·1·11·······1·····1·11···1···1·111··1··1·11···1··1·1·1··1·······1·1······1·1··11···1···1··11···1·1··1·····1··1·111·1·····1·11·11·11·······1···1·1·111··1··1···11·1·11·111··
out 37 (255)	··1111·1·1···1111··11···1·11·11···11·1····11····1·1·11···111····1······1····1·1·····1··11····111········1·1···1··11·····111·······11····111111····11······1·11·1·1····1·1··1·1·1·····1····1·1·1·1···1······1···11·111·11··11···1···1······11111···111··1···11···11111········11·····1111·1···1·············11·····1··1····11·····1···1··1·1111·11·1··11·····1111·11···11·11····1·1····11111···111······11···1···111····111·······1····1··11·····1·11···1111·······1·1····1···11····111·····11······11·111·1···11··1··111·1···1·1···1·1·1····1·······1··1··1·1··1·····1·11·111··1·1···11····1···1·······11111····111···1·1·1···111·11················11··1111··1··1······11···1·1·····11····1···11·11·1111··1·11····
out 38 (239)	·1111111··1··················11··················11·11111111·1·11···111······························11·1·11111··1·1·11·1111··1·1·11111·111111·11·11····1··1·····1······1····1······11···11····················11··············111·1···1··111111·11111·····················11111····1111111··1···1·11·1·1···1·1·1·1··1·1·111111····1····1·····1·····1······1111111·1·····················11··················1··111111·111····11·1·111·························11·1·1·1111···1··111111·1·11111·1·1·11·111·111·11·1··1····1·····1·····1·····11······11··················11··················1·111····1··11111·11·1111···························1··1·11·11111·11·11·11111·111·1·11·1··11111···1··1···········1······
out 39 (247)	··1·111···1·1·11··1··1·1···1··1·········1·1·1·1·1·1·1··1··1··1·1····1·1·1···1·11·1······1·1··11·1·1···111··1·111···1·1··1··1·······111111···11·1·11·······111······1·······1·····1·111···1······11··1···1··1··1···1·1·11·11·····1······1··11·1····1·1·····1·····1·1·1··1···11·1····1··111·······1···1·1·1··11···1·1·······1·1·1·1111·1··1··111·1·1···1·1····1·111··1·1·1·1····1···1··1··1·1··········1·1·11·1···11··1···1·····11···1·1·1·1111······1·1·1·1·11···111···1·111·····11·1···1····11·1·111····1·11·11···1·11·····1·······1····1·111······1········11·1·1···11···1·1··1·11··1·······1······1··11·1·····1·1····1······1·1··1···1·······1··1··1····11·1····1··11111·1·1·······1·1·11111·11··1·111·1···1·1···
out 40 (239)	·111··1··11······1··1··11·1··1···1·1···11·····11·1····11···1·1······1····1··1····11········1·1····11·1····11·······1·····111·1··1·11··1·11·11···1·11····1·11···11·····1···1····1·1··1·····1·1·1·11·······1·11··111111·1···11···1····11····1··111···111····11····11·11··11··1··11·····11·111······1··1···1·······1········1····1·1··1·1··1···1··111····1·1··111··1·11·········1···1···111·1···1·1····11····11·1·····11····1····1····1····11··11········11····11·1····1·1·········1···11·11·111····1·11··11···1·11·11·1··11····1····1····11··1········1··1··1·11····1··1·111111··1·····11····1····11·····1··11·1···111···11·····11··11···1·1·····1·····1·1·11··11·1··1·1·1···1······1······11··1·11····1·111····1·1··
out 41 (263)	·1111··1··1·1·1·1··1·······1·1··1····11·1··1··1·111···1····1·11·1···11·111····11··1···11·1···1·1··1··1111·1··1···1·1··1···11·1··1·1·11···1··1····11·······111··111·1·11·1···11···11··1·11·1·1·1·11······111···11·1··1·1···1··1·11····1·1·1··11·1·1··1··1···1·····11····1··1·1··1····11··1····1·····11·1····11···1·1··1·1···1·11···11····1······1·1·····1···1111··1·1·1·1··1····1········11··1···1·1··1··1·1·11··1··1·····1····1··1·11·111·11·1···11·1··1··1·1··1111·1···1····1··1·1··1·11·11·1·1····1···1····11···1·11·111·111·1····11··11··11···1··1··1··1·11···11·1·11·1··1··1·····1···1·1·1···1··11···11··11···1···1·1······11······1····1·····1····111···1···1··111·11·1·1·11·····1·11··11··1······1·1·····1···
out 42 (247)	·1·11··1·11·111····111········1·111········11·111····1111111····1···111········1·11·1········1111·111······11111··1·····11·1·········11·111·······11····1··1····1·11··1····1···1·111···1·1····1·····1·········11·11·······11·1·1·····1·1··1·······1111·········1111·····1·11···1·····11·1····1··11·11·········1·1·1·······11111····1····1·111·····1·111·1··1·11··111·111·······1·11·······1·111·········11111·····1111·111·······1·111·····111··1······1·111111·······11111···1····11··1·······1·1·11·1·······11·1··1···1·11·1·····1···1111··1·····1······1····1······11·11··········111·1·1·····1··1··1········1111·······1··111········1··1··1·······1·11··1···11111····11·1·······11111···1··1·11·1·····1111·1··
out 43 (263)	··11·11··1··1··11···11·1··11·11··11··1·11···1···111·11··1·11·1·······111·1····11·······11··1·1··1···11··1···11···111·····1······1···11··11···1··1·11········11····11·11·1·1··1····1111···1····1··11······1····1·1·1111·1··11·1·····111·1·1111··1···11··1··1·1··111·····11·1··1·······1111·1·····1··11···1···1·1······1···1··11··11·········111···1··1·11····11·11·1··1···11······11··1·1111··11·1···11···1··11··111··1··11····1·····111·1·11······11··11···1··11··1····11····11·1···1·····1··1·1···11·····1·1·11·····11···1111·1··1··1···1111······1······1··1····1···1·1·1111···1···11··1·····111··11·111···1···11···11··11··11·······1·1··1·······1····111·1··1·1·11·1·11····1··1····11·11·······1·11··1··1·11···
out 44 (263)	·111·1···11·111··1·1·1·11····11··111···11·111·····1·1·11··11···1····1····1··1··1····1······1··111···1·111··1···1·1···11··1·1·11·······1111···1·1··11····1·11···1··11······11·1·1··1··1····1·1···11··1····1·1··1·1·····1······1··11·11····1111····1·111····11···1··111··1··11·1·1····1111········11··1·1····11········1·1······1·1··1·1····11···1111··1·1·1·111·1··11·111·····1·1··1··11··11··111····11·111······11·11···11·····1···1····11·1····1·····1··111··1·111···1···1··1···11·1··111·······1111·····11··11·11·1··1··11······11·1·1·1··1·······1··1····11·1··1··11·1······1·········1···1111····1·111····1··111···11··1····1·11···1····1··1····1··11111······11·11·11·····11········11··1·1··11···111·1·1·1···
out 45 (255)	·111·111·······11·11·1·1·····1··1····11···111····1···111··11···11····11··1··1····11···11111···111····1····11·····1···11·1·1·····1·111·1111···1·1···············111···11·1··11·····111···111·1·1·1···1····111···1111····1·1···1·1····1····1111····11·······11····11··1·····11··11·····111·····1··1··11···1··1·········1·1··1111··11···1·····111······11·····111·111·······111··11··1··1···1··1···1·1····111···1····111···11·····1·1··11··11··11···11111···111···1····1·1······1···111·1····1111···1111·····11···········111··11·1···11····111·····1·11··1··1·1··1··1·11·1111······11······1·1····1····1·111····1·1······11·····11···1········1··1·····1·1·111·····11·11·11······11····1111·11···1···1·11·····11·····
out 46 (255)	·1·1·11··11·1·1·11·11··11··1·1·····1·111···1···1·1····1·1111·1·1····1·1·1···1·11·1·····1·1·1···1···1·1····1·1·11···1·1··1··1·11·1·1·1··1·11·11·1··1·····1·111······1·1··1·1111·1··1······11·············1·11··111·1·1······1·1···1·1·1···1·1·1····1·1·····1·····1·11····1·1·11·1····11·11·······1·············1··········11·1·111111·1··1···1···1·1···111··1·1·11·11·1·1··1··1·1·1···11·11·····11·1·1···1··1·1·····1·1·111····11···1·1·1·1111·····1·1·1···1··1·1····1··1·11·····11·1···11111·1····1·1·1·1·11··1··11·11·····11··1··1111·1·1·········11············1··11111·1·1·········1··1····11·1···1··1·1·····1·1····1······1·1·1······1··1·····1·1··111·1·1····1·······1·······1··1·1·11111·11····1··1··1··111··
out 47 (247)	11·······11···11···1·1··1·1·····1·11··1·1··11··1··1·1·1··11····1····11·111··1····1····1·11···1·11··1····1·1··11··11··1··11·1··1···1·11·11·1·1··111·1······1··1····1···1·····11·1···11··1······1··1······1111···11···11·1··1····1·1··11·1·11·11·1··11···1····1··1·1111··1···11··1······1···1········1····1··11········1···11··11···1··1··1··1·1··11······1··1······11···1·1·····1··1···11····1·11··1··1··11·1····11·1···11······1···11·1111··1····1·11··1··11·1····1·1···11···11··1·11··1·1·1·1·1··11··1·1··111·1··1···1···1··1······11·1··11·1············1··1···11·11·11···11···1···1·····1··1·11··11·1·11··1··11····1···11···11·11···1·······1··1····1··1·····1···1··111·····1··1··1··11··1··11··1··1·11······1··
out 48 (263)	··1·11···11·1·11··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··11·1·1·1·111··1·1····11·11·1··1·1·····1·1111···11·1··1·······111······1·1···········1·111··111·····11··1···1·11··111·111·11·11·····1······1··11·1····1·1··1··1·····1·1····1····1·1·····1·11····1···1·····1·1···1···1·1······11·1·1·1111·1··1···11·1·11··1·1····1·11··11·1·1·1····1···1··11·11··1········1·1·11·1···11··1···1·····11···1·111·1111····1·1·1·1·1·11·1·111···1·1·····1·1111···11···1··1·111····1·11··1···1·11·····11···········1·111····1·11·······11·1·1··11111·111··1·11··1·······1······1··11·1·····1·1···11······1·1······1··········1··1··1·11······1···11·1·1·1····1··1·1·11111·11····111·1·1·1·1···
out 49 (255)	·1·1·1·1·1···1·1··111··1···1············1··1···11·1·111·1111·1·11····1··1···1·1···1·1···1·1····1···1··1·1···1·11···1·1···11··1·····1·····11·11·1·1·1····1·1·1···1·1··11···········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··11·11··11····11111····1··11·11·1·1···1·1·1··········1·1··111··1····11·1·1·11·1·1·1··1·1·1·11···1··1····11·1···1··1············1··1··11···1111·1·111····11·1··1··1·11··1··1··1·1····1··1··1·1····1·111····11··11··1···1·······1·1·1·11·1·1·11··1··1·1·11···········1·11····1········1·11···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·····1·11111·1···1111111·111··········1·1·111··1··11··11·1·11·1·1··
out 50 (255)	···11··1·1··11·1····1···1·1··1·····1··1·1·1···1···1·11·11·11···11·····1111··1··1··1·1·1·11····1···1·1··11·1111···1···1·······11···1···1··1··1··1111·····1····1··1··1·1·····11····11·11···11······1··1···1111··11·11··1·1···1·1·1·1··1·······11·1····11·1····1···1··11··11·1·······1·11··1·1··1··11······1···1·1···1··1···1·11····11··1····1111··111··11······11··11··11··1·······1····11·1·····1··1··1·1··1·····111·11··11·····1·1···11111·1·1··11·11····1··1·1··11·1·111····1···1······11·1·····1··1···1··1111··1····1·1··11······11···11·11······11········1·1·11·1111·11··1···1····1··1·1··1·1········11··1····11··1···1···1···11···1·1··1···········11···1··1111···1·11··1·1··1···11···11··1··11·11·11·1·11····
out 51 (255)	·11·1·1··1···11···1·11·11·11·1···1·1··1·····1····11·1111·1···········111·1····1··11·1·1··11··1··1···11·11··1··11·····11··11·····1·····1···111··1·111······1111··11··········1·····1111·111······1········11····111···11··111·1·1···111···1···11·11·11··1··1·1·····11····1·1·11·1········11·········11···1··11···1·1····1·1··11··1··1······11···11·1···11···11·1·1·1···11······1··11··11111···1·1··1······1···1··11111··1············111·1·1·11··11··11·1···1··11·11···1··11······11·11····1······1····111··1·111··1·111·11··········1····11111···1·1········1·····1·1··111···1·1··1··11··1·1···111···1····11··1··11···11··1·····1·1······1··1·····1·1··1·····11·····11·111·1·1··1·1····11·1··1····11···11··1··11···
out 52 (271)	··11111··11·1····1111·····11·1··111···111·11·····1·······111········1111····1·11·11···1··111·111·····111······1··11·······11·11·1···1··1111111··········1··111·11111·1····111·······1···11··1····1··1·····11··1·11·111···111···111········11111······1·1···11··1····1··11··1········1111·1······11·1··1·1··1····1·1··1······111····1·1·····1···1·1··1111····11111·11·1·······111·1·····111··111···1·11·11····1·········111·········1111··11111···1··1111·11····111·······1···11······1·1111··1····111·111·1······1··111111111···1·111······1·····1·1···1·····1·1····111·11·111····1··11····1·11········11111·······1··1·1·11·······1···1·1·····1········1111··1···111·111··1·1·1·······111···1·1···1···1·1··1111···
out 53 (263)	·111·1···11·111··1·1·1·11·······1·11···11·111·····1·1·11··11···1····1····1··1··1····1······1··111···1·111··1···1·1···11··1·1·11·······1111···1·1··11····1·11···1··11······11····1·11·1····1·1···11··1····1·1··11···11·1······1··11·11····1111····1·111····11···1··111··1··11·1·1····1111········11··1·1····11········1·1······1·1··1·1····11···1111·11··1··111·1··11·111·····1·1··1··11·····1·11····11·111······11·11···11·····1···1····11·1····1·····1··111··1·111···1···1··1···11·1··111·······1111·····11··11·11·1··1··11······11·····11·1·······1··1····11·1··1··111···11··1·········1···1111····1·111····1··111···11··1····1·11···1····1··1····1··11111······11·11·11·····11········11··1·1··11···111·111··1··
out 54 (255)	··1··1·1·11··1·1·111····1··1··1··111···1···1··1·111·11·1111····11···11·111····1··1··1·1·1·11·1·1··1··11·1·111·11··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··1·11··1·11···1····111··11····1··1···1···11··11·····1·········1·11111··1····11··1····11·1············1·11··11·····1·1111··1·1·········1··1·111··1··1···111······1·1·1··111····1···1·1·11··111·11·11······1·1·11·111·1·1···11·1·111··1·1··11·1·1·11·11···1··1···1····11·1···1·1··11··111·1······1·1··1·1·····1··1·111··1··········1·········11····1··1·1····11··1···1·1·1··1····1·11··1·1····1···1·1··1··1···11········1···········1·11·11·11··1·1·111···········1·11·11···1·11·11·1··1·······
out 55 (263)	··1·1··1·1··1·1·11·11··11··1····1111·111···1···11·1··1·1········1····1·11···1·11·1····11·1·1···1···1··111··1·1·1·11···1··11··1······111·1··1····1··1····1··11······1·1··1·1·1·····1·11··················1·11··1·1·11·1·····1·1··1···11·1·11·1·11·1·1·1·1··1·····1·111···1·111·1·······1·111··1··11·11·1·1·111·····1··1·1···1·1··1·11·1··1···1···1···1·1·1···1·1··11··1·1··1··1·1·1···11·1···11111·1·1···1··11···1·1·1············1··1·11·1111····11·1·1···1··1··111···1·1·1··11···1·11··1····1·1·1·1···1····1··1·1··11·····11··1··1·1····1·11····················1··111·1·11·1········1··1···1··11··11·1·1·1·11··1·1··11······1·1·11·····1··1··1··1··1····1··11·1111111111···1·11·····1·1·1·11·11····1··1···1·1·1··
out 56 (255)	·····11·····1·1·1··1·······1··1·1····11·1··1··1·····1··1111····1······1111····11··1···11·1···1·1··1·1··1···11·11··1··1··11····1····1··1·1·11·1·111·1····1·111··111·1·11·1···1··1·11·1··111··1·1·11······111···1·11··1·1···1··1·1·1·1·····111·111··11·1·1···1·····11····1··1··11·····1·11111······1··1···1··1··1··········11·1·····11····1······1·1··1··········11····1·1··1····1········1·1·1···1·1··1··1·1······1··11·11···1··1·····1111·11·1···11·1··1··1·1·1··1····11·11···1··1·11····1··1····1·1··11··1111·1·11·11·111·111·1····1··111·1·1···1·1···1··1·11···11·1·1·11··1··1·····1···1·1··11·····1·11·11·1··11·1··1·1······11······1····1·······11··1·11·11·1··1·1·11·1·······1··1·1····11··1······1·1··1······
out 57 (255)	·1·····1·1··1····1111·····11·1····1···111·11······1·11111····1·11······1····1·11·11···1··111·111····1···1·1111·11·11·11·11···1····11·111·······11·11········11·11·11·1····111··1·····1··1·1·1····1··1·····11··1·11···1···111·······1···1·······1·1111··1···11··1····1··11··1·111····11··1·1··1··1···1······11·1········1·111·········1··1··1·····1··111····1·····11··1·······111·1·····111····1···1·11·11·······111111········11·1····1··11111···1··1111·11···1···1·1·111·1···1·11111···1··11··1·11········11·11·····1111·111·····111··1····1····1··1··1·····1·1····111·11···1····1··11········1····1········11·111···1·1·11·······1···1·1·····1····11·111···1··111··1··111·····1·1··11········11··1·····1··111····
out 58 (247)	·11·1111·11···11·1·111·11·1··1··111···11···11·1······11·1·······1···1·1·1·········1·····11·1···11·1···1···1·1··1······1··1·1······1·1··11···11··1··1······1··1·1111·······1·1····1·11···111·1···1·······1········111·111···1···11··1·····111·1·1·1·1······111··11·1·1···1··1·1·1······1·1·1··1······1·1·1·····1···1····1···11·1·111·····1··111·1····1·1····11·111111···1·1···1·1·11··111·1··111···1·1···111·······11·1···········1·1·1·1·····1·····11·1···111···1···1··1··1·1·····1·1··1···1·1····11····1·1·1··1··1···11111·······1·1···1·11·····1·11··1····1····1·······111·1·1·1····1····1·1·1·····1·11·1··11··1·····11·11··1·1··1·····1·····1····1··1··1··1··11···111··1··1··1·····11·1111···1··1·111····1·1····
out 59 (247)	·11·11···1··11··1·1111·11·1···1··1·1·1··1··11·1··11··11·1·1··········1·11··1···1·1··1··1··1····11·1··1··1···1·····1···1·1····11·1··1····1···11··1·1·····1····1·1···1·11·1······1·1·1·1······1·1··1······1·····1····111···1·1·····1··11····11·1·1·11·11·1··1·1····1·1···11···1·11····1·11··1·····11·11·······1·1·1·1····1··1··1··1·1·····1·11····111·1·11···11·11··1··11···1···11·11··111··1··1·11····1··111··1··1·11·1··1···········1·11···11···1·1··1····111··1··1····1······1···11····111·1······1····1·1·1·1··1····11···111·1·······11·1·1··········1··1··1···1····1····111····1···1·······1·11·····11·1··11·1·11··11··1····1··1····1·1········1··1·11·11····1·1111···111·1··1····1··1·1·1···1·11····11·11·11···
out 60 (247)	·1·11··1·11·1·1·1··1·······1··1··1···11·1··1··1·111··11···1··1··1···11·111····11··1···11·1···1·1··1·111·1·1··1·1·1·1··1···11····1·1··1···1··1·····1·······111··111·1·11·1···11···11··1··1···1·1·11······111···1·11·1··1···1··1·11······1····11···1··1··1···1·····11····1··11···1·····1··1····1·····1··1·····1···1·1··1·1·1·1·11···11····1······1·1·····1···1·11··111·1·1··1····1········1·1··1··1·1··1··1·1·11··1·11····1·····1··1·11·111·11·1···11·1··1··1·1·111·1·1···1·1··1··1·1··1·1··11···1····1···1·····1···1·11·111·111·1····11··11··1····1·····1··1·11···11·1·1·11·1···1·····1···1·1·1······1·1··11···1···1···1·1······11······1····1··1·······1·1···1···1··1·1··1·1·1·11·1···1·11··11··1······1·1·····1···
out 61 (247)	····1··1····111··1·1·1·11········111···11·111····1······111··1··1····11··1··1··1····1······1··111···11····1·111····1····1······11·1111····111···1·········11···1·111·1····11···1··111···111·1···11··1····1·1··11······1······1·1····11·1·····111··1·······11···1··111··1··1···1·····1···111··1·····11·1·1··1··1···1······11111··1··1·1··1·1····1111·11·1······1··1···111·····1·1··1··11······111····11·111···1·······1·11·····1··1··11··11·1····1·····1··111··11····1··111······1··1······1111·1······111···1·····1·1··1·1111·····11···1·111·····1·11··1····11·1··1··111·······1·········1·1····11··1·····11·1··1······11··1····1·11···1····1········1··1····11·11··11111·1··1····1··1111·1··1·11·1····111·111·1···
out 62 (239)	·11·11·1··1···11·1·111·1··1··1··1·1···11···11·1······11·1·······1···1·1·1·········1·····11·1···11·1···1···1·1··1······1····1······1·1··11···11··1··1······11·1·11·1·······1·1····1·11····1··1···1·······1·1······1111111···1···11··1·····111·1·1·1·1······111··11·1·1···1··1·1·1······111·1··1·1····1·1·1·····1···1····1···11·1·1111·······111·1····1·1····11·11·1·1···1·1···1·1·11··1·1·1··1·1···1·1···111·······11·1···········1·1·1·1·····1·····11·1···111···1···1··1··1·······1····1···1·1····11····1·1·1··1··1·1·111·1·······1·1···1·11·······1···1····1····1··1····11111·1·1····1····1·1·1·····1·11·1··11··1·····11·11··1·1··1·····1·····1····1··1··11·1··11···111··1··1··1·····11·11111·····1·111····1·1····
out 63 (271)	·1·1·1····1·111··1·1·1·11·······1111···11·111··1··1·1·11··11···1····1··1·1··1··1····1·1····1··111···1·111··1···1·1···11··1·1·11·····1·1111···1·1·111····1·11···1·111·1····11·1····11·1·1····1···11··1····1·1··11···1··1······11·11·11····1111····1·111·1··11···1··11···1··11·1·1····1111········11··1·1·····1········1·1·1····1·1··1·1··1·1····1111··1·····1·1·1···1·111·····1·1··1··11·····1111····11·111·1····11·11···11·····1···1··1·11·1····11····1··111··1·111···1···1··1···11·1··111···1···1111·····11·111·11·1··1·1111·····11·1···11·11·········1····11·1··1··111···1···1·········1···1111····1·111····1··111··111··1····1·1····1····1··1····1··11111······11·11··1·····11·1······11··1·11·1····111·1·1·····
out 64 (247)	·1·1·111·····1·1··111··1···1··1·111·····1··1···1··1···1·11·1·1·11····1·11···1·1···1·1···1·1····1·1·1··111···1·1···11·1···1·········11····11·11·1···1····1·1·1···1·1···1····1······1·11····1···1·11······1··1···111··1·11·1·1·1·11···1······1·1·····1·1·1··1····1·1··1··11··11·11·····1·1·····1···1·1··1·1··11·1·1········1·1·1··111··1····1··1·1·1··1·1·1··1·1·111····1··1····11·1···1··1·1·111······1··1··1····1··1·1·1·1····11·1··1·11·11··1··1··1·1····1··1··111····1·1····1·11··1·······11······1·1·1·11···1·11··1··1·1··1·····1·····1·11·······1·····1·11···1···1·111··1··1·11···1··1·1·1··1·······1·1······1·1··11···1···1···1···1·1·····1··1··1·1·1·1·····1·11·111111······1···1·1·111··1··1···11·1··1·1·1··
out 65 (255)	··1···1······1··1···11·····1·11·1····11·1·1·1··111111··111···1········1111····1··1··1·11·1····1·1··1·11·1·111·11·1·1··1·11···1··1·1·1·111·1·1······1····1·1·1··1·11·····1··111·····1·1···1··1···11··1···111·······11·11····1···11··111····1·11···111·1·1···1···11······11···········1·1·1········1····1····11·1·1····1·1·11·1·····1·······1·1··1·11·111·1···1···1·····1···1······11·····111·1···1·1··1·1·1·111··11··11·1······1······1111·1·1···111·1····1·1·1·11·1·1·11·11··1··1·111···1·11·1···111··1·1······1·11··1·1·11····1···111····1·1······1···1····11·1·11·1·····11·1·1······1····1·1·111·····1·11···1·11·1··1·1··1··1········1·1··············1·1··1·····1··1·1111···11·1··1·1····1·····1··1·1·1·1111·1··
out 66 (239)	·11·1·1··1····1·1·1····11·1··1··11·1·1··1·1····11···111·1·1··1·1·····1··1·········1····1··1··11····1··11··1·1····1·1·1··1····1····1·1··11·11···1··1·····1····1·11·1··1··1····1·1··1·1·······1····1··1···1········111·····11··1··1··11·····1·1·1···1·11····111··11·11···1··1111·1····1·1··1······11·11·1·1·····1···11·1···11··1··1·1·········1···111·11··1··11·1·1·1····1··1···1······111·1··11·11····1·1···11····111·1··1·····11····1··1·····1····1··1·1·1···1··11··1··1·····1··11·1····1··1·1····11··11···1··1··1····111·1·1··1·····1·1·1·1···········1·····1·1·1·······111······1··1···1···1·11······1·1·1····1·11···11·11··1·1·1····1····1··1··1·1··11·1···1···111111··1··1·1··1··1··1·1·1········1··11·111··1··
out 67 (255)	···11··1·1··11·1····1·····1········1··1·1·1···1·1·1·11·11··1···11·····1111··1··1··1·1·1·11····1···1·1··11·111····11··1········1···1·1·11·1··1··1111·····1····1··1··1·1······1··1·11·11···11······1··1···11·1··1··11··1·1···1·1···1··1····1··11·1····11·1····1···1··11··11·1···1·····11····1··1··11··1···1··11·1·1·1··1···1·11····11··1····1111··11···111·····11··11··11··1·······1·····1·······1··1··1·1··1·1···111·11···1·····1·1···11111·1·1··11·11····1··1·1··1111·11·····11··1·······1·1·1···11·1···1··1111··1····1·1··11·······1··111·11······11········1·1·11··11··11··1···1····1··1····1·1····1···11··1····11··1···1···1···11···1·1··1········1··11······1111·1·11111·1·1··1···11···11··1··11·11·11···111···
out 68 (271)	·1·1·11··11·111··1·1·1·11·····1···11···11·111·····1··111···1···1····1··1·1··1··1····1·1····1··111·····1·1··1···1·11··11··111·11·····1·1·11···1·1··11····1·11···1·111······11·1·1··11·1·11·1·1···11··1····1·1··111···1·1······1··11·1·1····1·1····1·111·1··11···1··11···1··1·11·1····11111········1··1·1·····1···1····1·1······1·1··1·1··1·11···1111··1·1···1·1·11·11·111·····1·1··1··11···1···11····11·111······1·111····1·1···1···1··1·11·1····11····1··111····1·1···1···1··11··11·11·111···1···1·11·····11··11·11·1··1·111······11·1·1·11·11···1··1··1····11·1··1··1111···1··1·········1···111·1·····1·1····1··111··111··1····1·1····1····1·····1·1··11111·1·····1·11··1·1···11········11··1·11·11···111·1·1·1···
out 69 (263)	·11·1111··1···11·11111·1··1··1····1···11···11·1·····1·1·1·1·····1···1·1·1·········1···1·11·1···11·1·1·11··1·1··1··1···1··111······1·1···1···11··1··1······11·1·1111·······1·11·1·1·11···11··1···1··1····1·1······11·1111···1···11··111····11·1·1·1·1······111··11·1·····1···11·1······11··1··1··1···1·1·1·····1·1·1····1···11·1·1111····1··111·1······11···11·1111·1···1·1···111·11··1·1·1····1···1·1···111······1·1·1··1········1·1·1·1·····1···1·11·1···111·1·11··1··1··1···1···1·11·1···1·1·····1····1·1·1··1··1·1·11111·······1·11·11·11·····1·1···1····1····1··1····11·11·1·1····1····1·1·111·····11·1··11··1·····11·11··1·1········1········1·1··1··11····111··111··11·1··1·····11·11111··1··1·111······11···
out 70 (263)	·1··1111·11····1·1·111·1··1···1·111···11···11·1·····111·1·······1···1·1·1·········1···1·11·1···11·1·1·1···1·1·····1···1··1·1·1····1·····1···11··11·1······1··1·1111·······1·1··1·1·11··1111·1···1·······1·1····11111·111···1···11··11····111·1·1·1·1······111··11·1·····1····1·1····1·11··1··1········1·1··1··1·1·1····1·1·11·1·111·····1··111·1····1·11···1··111111·····1···1·1·11··1·1··1·111···1·1···111······111·1···········1·1·1·1·····1···1·11·1···111·1·1···1··1······1···1·1··11··1·······1····1·1·11·1··1···11111·······1·1··11·11·1···1·11··1·1··1····1··1··11111·1·1·1····1····1·1·11····1·11·1··11··1·····11·11··1·1········1··········1··11·11····11····111·11·1··1·1···11·1111···1··1·111····1·11···
out 71 (247)	··111····11··11··11··1··1·11····1·1···111···1·11··1·1····1·1·1·1····111·····1·1·····1····111····1·111··11·1···11···1·11····1·1····11····111····111······1·1111·1······1···1·111··111·1··11··1·1··1·········1······1·1····1···1·····1·1···11····1·1···1·····11···111····1··11111······11···1······1·1·······11·····1····1····111··1·1·1····111····11·11··1···111···11··11·····11···1···111···1·1···1·11···111····11·····1·1····11···111···11·····1···111····1111··11·1····11·····111····11··11······11·1····111···11·1111·····1····1·11··111·1····1·1···1··1··1·······1····1·1·····1······1·····1·1···1·1·····11····1····1·1···111······1····1··1··1·11···11·····1··11···11···1··1······111·1·1·1··11·1···1·111··1··
out 72 (255)	·1··1·1······11···1·11·11·11·11·11·1··1·····1···111·1111·1·····1·····111·1····1··11·1····111·1··1···11·11··1··1······11··1······1···1·1···111··1··11······1111··11··········1·····1111··111·····1········11····1·1·1·11··111·1·····111···1···11··1·11··1··1·1·····111·1·1·1·11·1····1···11······1··11···1···1···1·1····1····11··1··1······11···11·1···11···1··1·1·····11······1··11··111111·11·1··1······1··11··11111··1·······1····111·1·1·11··1···1111···1··11·11···1··1·······11·1·····1··1···1····111··1··11··1·111·11··········1····1111····1·11·······1·····1·1··1·1·1·1·1··1··11··1·····111···1····11··1··11···11··1·····1·11·····1··1·····1·1··11····11···1·11·1·1·1·1··1······11·1··1····11···11··1··11···
out 73 (247)	···1·1······11·1·1·····1··1···········11··1····1····1··1·111·········1··1······1·1··1·1·11·1·1·····11·1···11·111······1·1····1····1··11··11·11··1·1·····1·11·1·1·1·1·11···111·····1·1·····1·1·1·1···1···1·1···1·1··1·111··1··1·11··111·1·1·1·1·1·11·11····111····1········1··1······11·11·1·····11·11·1·1··1···········1··1··1··1111······11·1·1··1··1·11····1·1·····11··1···1·······1·1··········1·1··1···1·····1··1··111··········1··1···11···11·11·11·····11·1···1·1·111·······11····1··1···1·1··1·1·1·1·1·1··11·1·11·1·111····111····1·1········1··1··1·1··1·1··1·1·1··1·1·1·1···1···1·1·1·111··11··1·1··11·1·11···11·1····1··········1·1·······1···11·1·1··1·1111111·······1····1··1·1111····11··11···1·1·11··
out 74 (71)	······1··1····················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··1········1·1·······················1·1················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····················1··1········1··1···
out 75 (247)	·111·1···11·1·1·11·11··1···1····1·11·111···1···111···11·11·1·1·1····111·1···1·11·1·····1·1·1···1···111····1·1·11···1·1··1·11·11·1·1·1····11·11·1··1·········1······1·1··1·1·11····1····1111·············1··1··1·1·1111·····1·1·1·1·1·······1·1····1·1·1···1·····1·11····1·1111·1····11·11·····················1·1········11·1·1·1·1··1··1···1···1·····1·1··111·1··11·1·1··1··1·1·1···1··1···1·111·1·1···1··111····11·1·1·1····11···111·1·1111·····1·1·1···1··111····1··1·11·····11·1·1·11111·1······1·1·1·11··1······1·····11··1··1·11···1···1···1·11············1···11·1·1111········1··1·1··11········1·1·····1·1····1······1·1·1······1··1··1··1·1··111·1·1············11······1··1·1·11·1··11····1··1·····1·1··
out 76 (247)	·1·····1·1··1····1111···1·1···1···1···111·11······1·11111····1·11······1····1·11·11···1··111·111·······11·1111····11·11·11···1····11·111·······11·11········11·11·11·1····111··1·····1··1·1·1····1··1······1·111·1···1···111·······1···1·······1·1111··1···11··1····1··11···1111········1·1··1··1···1······11·1········1·111·········1··1··1·····1··111····1·····11··1·······111·1····11··1···1···1·11·11·······111111········11·1····1··11111···1··1111·11······11·1·111·····1·11111···1··11··1·11········11·11·····1111·111·····111··1····1····1··1··1·····1·1·····111·1···1····1··11········1····1········11·111···1·1·11·······1···1·1········1·11·1·····1··111··1··111·····1·1··11········11··1·····1··111····
out 77 (271)	··1······1···1··1···11·····1··1·11···11·1·1·1··1111·11·1111··1········1111····1··1··1·11·1····1·1··111111·111·11·111··1·111··1··1·1···1·1·1·1······1····1·1·1··1··1··1··1··11··1···1·1··111·1···11··1···111····1··11111····1···1····1····11·11···111·1·1···1···11······11··11·······1·1·········11····1·····1·1······1·1·11·1·····1·····1·111··1·11··1111···1·····1···1···1······11·····1·1·11··1·1··1·1·1·1111·111·11·11·····1······1111·1·1···111·1····1·1·111111·1·11·11··11·1·1111··1·11·····1·1··1·1······1·11··1·1··1·1··1···11··1··1·1····1·11··1····11·1·11·1··1··1111·1······1····1····1····1·1·11···1·11·1··1·1··1··1········1·1·····1··1·····1·1·······11··1··11····11·1··1·1····1···1·11·1·1·1·1·1111··
out 78 (239)	·11·1········11···1·11·11·11··1·1·11··1·····1···111·1·11·11····1·····111·1····1··11·1·1··11··1··1····1··1··1··11··1··11··1······1·····11··111··1··11······1111··11···1······1··1··1111·1·11·····1········11······1·11·1··11··1·····11········11··1·11··1··1·1·····11····1·11·1·1·········1······1··11···1··11·····1····1····11··1··1······1····11·1···1····11·1·······11······1··11··1111·1·1·11··1···1··1··11··11·11··11······1····111·1·1·11··11··11·1···1···1··1···1··11···1··11·1·····1······11···111··1··11··1·111·11··1·······1··1·11111·····11·······1·····1·1····1·11··1··1··1···1·····11·········11··1··11···11··1·····1·1······1··1··1····1··1······1···1·11·111···1··1······11·1··1····1····11··1··1····
out 79 (231)	·11·1·1··1····1·1·1····1··1··1···1·1·1··1·1····11····11·1·1··1·1·····1··1·········1····1··1··11····11·11··1·1··1·111·1··1·········1····11··1···1··1·····1····1·1111·····1··1·1····1·1·······1····1··1···1·1······11······11··1··1··1········1·1···1·11····111··11·11···1··1·11·1······1·11······11·1··1·1··1··1···1··1···11··1··1·1·····1··11···11··11·11··11·1·1·1····1··1···1······1·1·1···1·11····1·1···11·····11·1··1·1···11····1··1·····1····1··1·1·1···11·11··1··1··1··11·11·1·······1······11···1···1··1··1····11111····1···1·1···1·1···········1·····1·1·1··1····11·······1··1···1···1·1·········1·1····1·11···11·11··1·1·1····1····1·····1·1··1··1··11···111·111·1··1·1··1··1··1·1·1···1··1·1··11··11·11··
out 80 (263)	··1···1······1··1···11··1··1·1··111··11·1·1·1··1·11·11·1111··1········1·11····1··1··1··1·1····1·1··111111·111·1··1·1··1·11······1·1·1·1·1·1·1··1···1····1···1··1··1··1··1··111·1···1·1···1··1···11··1···11······1·111·1····1····1···1····11·11···111·1·····1···11···1··11··11·········1·1········1··1·1····11·1······1·1111·1····11·····1·111··1·11·11111···1···1·····1···1······11···1·11··111·1·1··1·1·1·1·1··111·11·11·····1······1·11·1·1···1·1·1····1·1·111111·1·11·1···1··1·111·····11·1···1·1··1·1··1···1·1···1·1··1·1··1···111·1··1·1······1···1····11·1·11·····1·111··1······1······1··1····1·1·11···1·11·1····1··1··1····1···1·1·····1··1·······1··1·····1·11·111····11·1··1·1···11···1·11·1·1·1·111111··
out 81 (247)	·1·11111·11··1··1···11·····1·····1···11·1·1·1··11···1·1····1···11···11·111····1··1··1·11·1····1·1··1···1·····1·······1·····1··1····1·1·1·1·1·1·1111····1··111··1·11··1··1···1······11···1···1···11··1···111····11·1·111····1·····1·1···1·1·1··11····1··1···1···11······11··1·111····11·1·11··1··1··1····1··1······1······1·1·1····11······111··1·1···11·1··1·1111111··1···1······11·····1····1··1·1··1·1·1·11····1·1·····1·····1·1·11·111·1·1···111·1····1·1·1···1······1········1·····1·1··1··1··1·1··1··11111···1·11·1·11·1··1····1·····11·····1·····1····11·1·11·1··11·1·11·1······1·······11····11··1··1·1····1···1·1··1··1········1·1·····1····11·111·1··1·111·1··11····1····1···1·1···11····11·1·1·1···11·1··
out 82 (79)	··1······1···················11·11··············1····1····1········1································1··1·······1·············1······1············1·········1·········1·····1·1·········1··1····················11··11··········1·····1···1··········1······················11·······1···············1······1·············1·········1·······1······1·1·······1·····1······················11·11··············1·····1·····1·····································1··1········1·············1····1···············1······1·······1······1·1·······1······1··················11··11··············1·····1···1············1····························1··1·····1············1··1·········1··········1·····1·······11······
out 83 (247)	·1··1·1······11···1·11·1··11··1·11·1··1·····1····11·1111·11····1·····111·1····1··11·1····11··1·11···11·11··1··1···1··11··1···1··1···1·1···111··1··11······1111··11··········1·····1111··111·····1········1·······1·1·11··111·1·1···111·······11··1·11··1··1·1·····111···111·11·1····1····1······1··1····1···1···1·1····1····11··1··1······11···11·1···11···1··1·1·····11······1··11··1·11·1·11·1··1······1···1··11111··11······1····111·1·1·11··1···11·1··11··11·11···1··1····1··11·1···1·1··1···1····111··1··11··1·111·11··········1····1111····1·11·······1·····1······1·1·1·1··1··11··1·1···111········11··1··11···11··1·····1·11·····1··1·····1·1··11·····1···1·1··1·1·1·1··1······11·1··1····11···11··1··11···
out 84 (239)	····1··1····111··1·1·1·111·······1·1···11·111····1···1··11···1··1····11··1··1··1····1······1··111···11····1·111····1····1·······1·1111·1··111···1·········1····1··11·1····11···1··111···111·1···11··1····1····11·····11······1·1····1··1·1···111··1·······11···1··111··1··1···1·····1···111··1·····11···1··1··1·1·1······11111··1····1····1····1111·11·1······1··1···111·····1·1··1··11······1·1····11·111···1····1··1·1······1··1··11··11·1····1·····1··111··11····1··111······1··1······1111·1··1···111···1·····1····1··111·····11···1·111·····1·11··1····11·1··1···11·····1·1·········1·1····1···11····11·1··1······11··1····1·11···1····1········1··1····11·11··11·11·11·1····1··1111·1····1··1····111·111·1···
out 85 (71)	······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······················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······
out 86 (239)	····1··1····111··1·1·1·1··········11···11·111····1··1···1·1··1··1····11··1··1··1····1······1··111···11····1·111····1····1·······1·1111·1··111···1·········1····1··11·1····11···1··111···111·1···11··1····111··11····1·1······1·1·····1·11····111··1·······11···1··111··1··1···1·····1···111··1·····11···1··1··1·1·1······11111··1····1····1····1111·11·1······1··1···111·····1·1··1··1········11····11·111···1···1···1··1·····1··1··11··11·1····1·····1··111··11····1··111······1··1······1111·1··1···111···1·····1····1··111·····11···1·111·····1·11··1····11·1··1·1111····1··1·········1·1·····1··1·····11·1··1······11··1····1·11···1····1········1··1····11·11··11·11·11·1····1··1111·1····1··1····111·111·1···
out 87 (255)	·1111··1··1·111····111··1····1··1·········111·11·····11111·1····1···111········1·11·1········1111·11···1···1111···1·····11·1·1······1111111·······11····1·11······11·11····1·1·1·111·····11···1·····1·····1···1·111·11····11·1·······1·1·11·······1111·········1111·····1·1·1··1····111·1····1··11·1·······1··1···1·······11111··1·1···11·1·1·····1··11·1··1111··1·1·111·······1·11···1··1··1··········11111······1111·1·1·······1·111·····111··1······1·11111···1····1111····1····11··11····1·1·1111·1·······11·11·1·····1111·····1·1·1111········11·····1····1····1·1·111·11·······11··1·······1··11·1········1111·······1··111········1··1·····1····1111··1···1111···1·1··1·······11111·1·1··1·1··1·····1·11·1··
out 88 (231)	·11·1·1··1···11···1·11·1··11·····1·1··1·····1····11···11·1·····1··1··11··1····1··11·1····11··1··1····1··1··1··1······11··11··1··1·····11··111··1··11······1111··1··········111·1··1111·111······1········1······11···11··111·1·1···1·····1···11··1··1·····1·1·····111···1·11·1·1····1···11·········1····1··11·····1····1····11··1··1····1·11···11···1·1····11·1·1·1···11······1··11··1·11····1·1··1······1···1··1··11··1·······1····11··1·1·11··1···11·1···1···1··1···1··1·······11·11··1·1······11···111··1··11··1·111·1··········111·1·11111···1·1········1·····1·····11···1·1··1··11··1·1···1·····1····11··1···1····1··1·····1·11·····1··1··1····1··11····11·····1··111···1··1······11·1··1··1·11···11···1·1····
out 89 (255)	··11111··11·1····1111·····11··1···1···111·11·····1·······111········1111····1·11·11···1··111·111·····11···1···1··11········1··1·1···1··1111111··········1··111·11·11······1·1·······1···11··1····1··1·····11··11·1···1···111···111········11111······1·1···11··1····1··11··11·······1111·1·······1·11·1·1··1····1·1··1······111····1·1··1········11·1111····11111·11·1·······111·1·····11·1···1···1·11·11····1·········111·········1111··11111···1··1111·11····11···1····1···11········1·11··1····111·111·1······1··11111·11······1·1······1·····1·1···1·····1·1····1111·1···1····1··11····1·11········11111·······1··1·1·11·······1···1·1·····1··1···1·1111··1····111111··1·1·1·······111···1·11········1·11111···
out 90 (255)	··1·1··1····1·1··1·1·1·11·······1111···11·111····1······11···1··1····111·1··1··1····1······1··111····1····1·111····1····1·······1·1111····111···1··········1···1·111·1····11···1··111··1111·1···11··1····1·1··11···1··1······1·1····11·1·1···111··1····1··11···1··111··1··11··1·····1···111··1·····11···1··1··1···1······11111··11·1·1··1·1····1111·11·1····1·1··1···1·1·····1·1··1··11·····1111····11·111···1·······1·1······1··1··111·11·1····1·····1··111···1····1··111······1··1······1111·1······111···1·······1··1·1111·····11···1·111·1···1·11··11···11·1··1··111···1···1·········1·1····11··11····11·1··1·····111··1····1·11···1····1··1·····1··1····11·11··11·11·1··1····1··1111·11·1·11·1····111·111·1···
out 91 (255)	·1·1·1····1·1·1·11·11··11··1·11·1111·111···1···111··111·11·1·1·1····1·111···1·11·1····11·1·1···1···1·1····1·1·1···11·1··1·11··1·1·1····1·11·1··1·11········11······1·1··1·1·11·1··1·····11··············1·11··11··11·1·····1·1·1·1·11······1·1····1·1··1··1·····1·111···1·1·11·1·····1·1············1······1··1·······1···1·1·1·1·11·1··1···1···1·····111··1·1·1···1·1·1··1··1·1·1···11·111·11111·1·1···1··111···111·1·1·1····11···1·111·1111····11·1·1···1··1·1····1··1·1····1·11·1·1·1·111······1·1·1·1··1·11·····11·····11··1··1·11·1·1·······1·1·············1··1111··11·1········1··1·1··111·······1·1·····1·1···11······1·1·11·····1··1·····1·1··1·1·1·········1··1·1··········1·1·11·11·11····1··1·····111··
out 92 (255)	···1·11··1··11·1·1·····1··1··11·11····11··1····1····11·1·1·1·········1·········1·1··1·1·11·1·11····1··11··11·11·······1·1·········1·111··11·11··111·····1·1··1·1·1·1·11···1111····1·1···1···1·1·1···1···1·1···11····1111··1··1·11··11··1···1·1·1·11·11··1·111····1········1111·······1·11·1·····11·1··1·1··············1·11··1··111·······11·1·1··1·11·11····1·11·1··11··1···1·······1·1·11·11····1·1··1···1·····11·1··1·1··········1······11···11·11·11·1···1··11··1·1·11········11·······1·1·1·1··1·1·1·1·111··11···11·1·111····1111···1·1·····1·····1··1·1··1·1··1·11····11·1·1···1···1·1·1·11···1···1·1··11·1·11···11·1····1············1··1··1·1····1·1·1··1·111·11········1·1··1··1·111·····11··11···111·11··
out 93 (271)	·111··1··11··1··11···1·11··1··1···11·111··1·1·1···1··11·1111····1···1·111···1·1···1·1·11·1·1·11·1·1···1·1···1·1··11···1·1··1·1·····1···1·111····111········11···1·1··11·1·1·1··1·1·111·1111···1·····1···1·11···111·1······1····11···11···1··1·11·11·1··1··1····1·1·11······1··11·····1··111·····1·····1·1···1·1······1·1·11·1·1·1·11·1····11····1····1·····111··1·11··1···1··1····1··11·1·1···111·1·1··1·11·····1·11·1·111·······1·1·111·11··1··111·1·11·1·11···1·1····1·1···11···11···11···1·····1·1·11····111·····11··1·1·11·1··1·1··11·1111···1·11·····1····1·1··11·111·1·········1·····1·1··11···1···1·1·1111·1···11···1···1··11···········1·····1·1·1···11·1·1···11·11····11·1··1·1·11·11·1··11····1····1·····
out 94 (239)	·111······1······1··1··11····1··11·1···11·····11·1··1111···1·1······1····1··1····11········1·1····1111·1··11······11·····1·1·1··1·11···111·11···1·11····1··1···111····1···1··1···1··1···1···1·1·11·······1·1···1111·1·1···11···1··········1··111···111····11····11·11··11···1·11·····11··11·····11··1···1······1·········1····1·11·1·1······1··111··1·111··111·····1·········1···1···11··1··11·1····11····11·1···1111····1····1····1····11··11········11····1111·1··1·1·······1·1···1··11·111·····111··11···1·11·1··1··111···1····1··1··1··1·····1·····1··1·11····1··1·1111·1··1·····11····1···········1··11·1···111···11·····11··11···1·1········1··1·1·11···1·1·11·1·1··········1······111·1·1·····1·111··1·111··
out 95 (247)	··1···1······1··1···11·····1·1··1·1··11·1·1·1··1·11·1··111···1········1111····1··1··1·11·1····1·1··1111·1·111·1··111··1·11······1·1·1·1·1·1·1······1····1···1··1··1·····1···11·1···1·1···1··1···11··1···111·····1·11··1····1····1···11····1·11···111·1·1···1···11······11··1··········1··········1··1·1····11·1···1··1·1·11·1····11·····1·1·1··1·1··11111···1···1·····1···1······11·····11··1·1·1·1··1·1·1·1·1··11··11·1······1······1111·1·1···111·1····1·1·1111·1·1·11·1···11·1·111·····11·1···1·1·11·1······1·1···1·1··1····1····11·1··1·1······1···1····11·1·11·1···1·11···1······1······1··11·····1·11···1·11·1··1·1··1··1········1·1·····1··········1········1·11·111··1·11·1··1·1···11···1·1··1·1·1··11111··
out 96 (255)	·11··1·1·1···1·1··111··11··1·1···11·····1··1···1··1·111·11·1·1·11····1··1···1·1···1·1···1·1····1···11·111···1·1····1·1···11··1·····11··1·11·11·1·1·1····1···1···1·1···1···········1·11·11·····1·11······1·11·····1·11·11·1·1·1·11····1·····1·1·····1·1····1····1·1··1··11·1·1·11·····1·11····1··11·11·1·1··11·1············1·1··1·1··1····1··1·1·11·1·1·1··11··1·11···1··1····11·1···11·11···11······1··1··1····1111·1·1·1····11·1··1··1·11··1··1··1·1····1··11·111····1·1······11··11··1···11····1·1·1·1·11·1·1·1···1··1·1··1···········1·1111··1········1·11···1··11···1·11··1·11···1··1·1·1···1······1·1······1·1···1···1···1···1···1·1··1·····1··1·1·1·1·1···1111111111···········1·1·1·1··1··1···11·1·11·1·1··
out 97 (239)	·1·1··1···1······1··1··11····1···1·1···1······11·1····11···1·1······1····1··1····11········1·1····11·1·1··11······11·····111·1··1·11··1·11·11···1·11····1·11···111····1···1··1·1·1··1··1····1·1·11·······1·1···111111·1···11···1····11····1··111···111····11····11·11··11··11·11·····11··11······1··1···1·······1········1····1·1··1·1······1··111··1·1·1··1·1··1··1·········1···1···11··1···1·1····1·····11·1·····11····1····1····1····11··11········11····11·1·1··1·1·······1·1···11·11·111····1·11··11···1·11·11·1··111···1····1··1·11··1·1·········1··1·11····1··1·111111··1····111····1····11·····1··11·1···111···11·····11··11···1·1·····1··1··1·1·11···1·1··1·1·1···1······1······11··1·1·····1·111··1·1·1··
out 98 (247)	··1···1······1··1···11·····1····1····11·1·1·1··1111····111···1········1111····1··1··1·11·1····1·1··1·11·1·111·11·1·1··1·11···1··1·1·1·111·1·1·1··1·1····1·1·1··1·11·····1··11··1···1·1···1··1···11··1···111····11·11·11····1···11····1····1·11···111·1·1···1···11······11···········1·1·1········1····1····11·1·1····1····1·1·····1·······1·1··1·11··1111···1···1·····1···1······11·····1···1···1·1··1·1·1·111··1···11·1······1······1111·1·1···111·1····1·1·1·11·1·1·11·11··1··1·111···1·11·1···111··1·1····1·1·11··1·1·11····1···11··1··1·1······1···1····11·1·11·1··11·11·1·1······1····1·1···1·····1·11···1·11·1··1·1··1··1········1·1··············1·1··1·····1··1·1111···1·····1·1····1·····1··1·1·1·1·1111··
out 99 (31)	··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······
out 100 (63)	······1··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··11·1·········································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····
out 101 (263)	··111·1···1··11··11··1····11·11·11····111···1·11··1·1····1·1·1·1····1111····1·1·····1·1··111····1·111··11·1···1···11·11···11······111···111····11·······1··111·1······1···1·1··1·111·1···11·1·1··1········11···11····1···1···1·····1·1···11····1·1···1·1···11···111·1··1··11111·····111·1·1·····11·11·······1·····1····1·1··111····1·1····111····11····11···111·1··1··11·····11···1····1111111····1·11···111····11·····1·1····11···1111··11·····11··111····1111··11·1····1····1·111··1·1···111·····11·1····11····1··1111·····1····1·1··1111·1······11··1··1··1······11·11····1····1······1·····1·1···1·1·····11····1··1·1·1···111··1···1····1··1··1·11··111··1··1·1111···1···1··1·1····111···1·1··11·1···1·1···11··
out 102 (263)	·1·1··1···1··1··11···1·11··1··1···11·111··1·1·1···1··1111111········1·111···1·1···1·1·11·1·1·11·1·1···111···1·1··1····1·1··1·1·····11··1·111····1·1········11···1·1··11·1·1·1··1·1·111··11····1·····1···1·11···111·1······1····11···111··1··1·11·11·1··1··1····1·1·11······11·11·····1···11·····1·····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···111·1·1··1·11·····1·1111·111·········1·111·11··1··111·1·11·1·11···111····1·1···1····11···11···11····1·1·11····1·1·····11··1·1·11·1··1·1··11·111····1·1······1····1·1··11·111·1·········1·····1·1··11···1···1·1·11·1·1···11···1···1··11···········1··1··1·1·1····1·1·1···11111····11····1·1·11·11·1··11····1····1·····
out 103 (255)	····1·11·1··111··1·1·1·11········111···11·111····1···1··11···1··1····11··1··1··1····1······1··111···11····1·111··1·1····1·1·····1·1111·1··111···1·········11···1·111·1····11···1··111····1··1···11··1····1·1··11······1······1·1····1··1·1···111··1·······11···1··111··1··1···1·····1···111··1··1··11···1··1··1·1·1······11111··1··1·1··1·1····1111·11·1······1·111··111·····1·1··1··11······111····11·111···1····1··1·1······1··1··11··11·1····1·····1··111··11····1··111···1··1··1·1····1111·1··1···111···1·····1·1··1·1111·····11···1·111·······1···1····11·1··1··111·······1·········1·1····1···11····11·1··1······11··1····1·11···1····1········1··1···111·111·11·11·11·1····1··1111·1··1·11·1····111·111·1···
out 104 (255)	·1·111····1·1····1111·····11·1··111···111·11····11·······1·1········1111····1·11·11···1··111·111····1111······11·11·······11·11·1·······111111··········1···11·11·11·1····1111······1·11·11·1····1··1·····11··1·11·111···111····11·······111111······1·1···11··1····1··11············111·1······11·1··1·1·········1··1······111······1··1··1·····1···111···1·111···1·1·······111·1·····111··111···1·11·11···11·········1·1·········1111··11111···1··1111·11···1111·······11··11······1·1111········11·111·1······1···1111·111·····1111·····1·1·····11··1·····1·1····111·11·111····1··11······11······1·11111·······1··1·1·11·······1···1·1···············111··1···111·11·····1·1·······111·····11··1·····1···111···
out 105 (279)	·111111··1··1111111·····1·····1····1·1111·······1····11111·1·1·1···············1·11·1·111111······1·1··1···11111·1·1·11···1··1······111·111111·11·········11····1·11·11·1·1111·1··········1···1·11········1···11·1111111·1·····1·····1·1·1111111·1·············11111···1···11··1·····111111·····1···1······1··1·1·1··1·1·1·······1·1····1·1·11·111··1··1···111111·1··111·11··11·······1···1····11·1·11······1·····1111·1·1····11···········111··1111111·····1·1··1····11111··1··111··1··1····1·1·1·11·111·111·····1·1···1·1111·1··1111·1············1·····1·11······1·11·11111·1·11········1·····1··11·11111·11············1··111·1····1·····1·1··1····1·111·11·1·1··1··1·11·1·11·1········1·1··1·1··11111··1··1···
out 106 (263)	·111·1···11·111··1·1·1·1·····11···11···11·111·····1·1111···1···1····1··1·1··1··1·1··1······1··111···1·1·1··1·····1···11··111··1·······1111···1·1··11····1·11···1·111·1····11·1····11·1····1·1···11··1····111··1·1···1·1······1··11·111····111····1·111·1··11···1··111··1··1111·1·····111·········1····1····11········1·1······1·1··1·1··1·1····1111··1·····111·1··11·111·····1·1··1··1···11···11····11·111······11111····1·····1···1··1·11·11···1·····1··111··1·1·1···1······1···11·11·1·1·······1111·····11··11·11·1··1·1111·····11·1···11·1·······1··1····11·1··1·111·1···1··1·········1···11111·····111····1··111··111··11···1·11···1····1··1··1·1··1·111·······1··1·11·····11········11··1·11·1····111·1·1·····
out 107 (247)	·1111·11·11·111····1111·······1·111·······111·111····1111111····1···111········1·11·1········1111·11·······11111··1·····1111·········11·111·······11····1··1····1·11·11········1·111····11····1·····1···1·····11·11·······11·1·1·····1·1··1·······1111·········1111·····1·1····1·····11·1····1···1·11·········1·1·1·······11111····1····1·1·1·······111·1··1111·1111·111·······1·11·······1·111········111111·····1111·111·······1·111·····111··1······1·11111········11111···1····111·1·······1·1·11·1·······11·1··1···1·1111·········1111······1·1······1····1·1····11·11··········11··1·1·····1··1··1········1111·······1··111········1··1··········1·11··1···1·111····11·1·······11111···1··1·1··1······111·1··
out 108 (255)	·1·1··1···1··1··11···1·11··1··1·1111·111··1·1·1·1·1···1·11·1········1·111···1·1···1·1····1·1·11·1·1···1·1···1·11·11···1·1··1·······11··1·111····1·1·········1···1·1···1·1·1111·1·1·111··11····1·····1···1·11···111··1·····1·····1···1·······1·11·11·1··1··1····1·1·1·······1··11····11··111·····1···1·1·1··11·1······1·1··1·1·1·1·1··1····1·····1·1·11·····1·1··1··1··1···1··1····1··11·1·1·11111·1·1··1·11·1···1··1·1·1·1·········1·111·11··1··1···1·11·1·11···1·1····1·11··11···11···1····11····1·1·11····1·1······1··1·1··1·1··1111·11·111····1·1······1····1·1··11·111··1········1·······1··1········1·1·11·1·1···11···1···1··1·1··········1·····1·111···11·1·1··111111····11····1·1·11·1··1··1·····1··111·····
out 109 (255)	··1111·1·····1111··111··1·11·11····1·1····11····1·1·11···1·1····1······1····1·1·····1··11····111········1·1···1··11·····11········11···1111111····11······1·11·1······1·1··1·1·1·····1······1·1·1···1·1····1···11·111111··11···1···1·····111111···111··1···11···11111···1····11·····1111·1···1··1··········11···1·1··1····11·····1···1····1111·11·1··11·····1111·1····11·11····1·11···11111····11······11···1···111····1·1·······1····1··11·····1·11···1·11·······1·1····1···11····11······11·····111·111·1···11··1··111·····1·1···1·1·1····1··········1··1·1··1·····1·11·1111·1·1···11····1···1·····1·11111····111···1·1·1···111·11·····1··········11··1111··1··11·····11·1·1·1·····11····1···1··11·1111··1·11····
out 110 (239)	···11111·1····11···1·1····1··11·1··1··1·1··11··1·1···1·11··1·1··1·····1111··1····1····1·11···1·11··111·····11······1··1·········1··1··11·1·1·1···11·····1····1···11···1·····11·1···1·····11···1··1······11·1········1··1··1·····1··111···1·1··1··1··11·1····1··1·1111··1···1·11·····11·1·1···1··11··1·1····1··1·1·1····1···11····11··1·····1·1··11······1····111111····1·1·····1··1····1·11·1··1··1··1··11·1·1····1·11···1····1··1···11111··1····1·11··1··11·111······11········1·1·······1·1····11·1··1··1··11··1····1··11··1······11·1··1········11·····1··1···11··1······1····1···1·······1·111···1··1··1··1···11··1···11···11·11···1·······1·1··11··11·1··1··111·11·1·11·1··1·····11···11··1···1··1·11······1··
out 111 (239)	·1··1·1··1···11···1··1·11·11····1··1··1·····1····11·1·11·11····1·····111·1····1··11·1····11··1··1···11··1··1··11·····11··1···1··1·····1···111··1··11········11··11···1·····111····1111··11······1····1···11·····11·1111··111·1·1···11········11··1·11··1··1·1·····111···1·1··1·1········11······1··1····1··11···1·1····1····11··11········1····11···1·11···1··1·1·1···11······1···1··1111···1··1··1······1···1··11·11··11······1····111·1·1·11··1···11·1···1··11··1···1··11······11·1···1·1······1····111··1··11·····11·11··1······111···1111····1·1········1·····1·1···11·111·1··1··11··1·1···11·········11··1··11···11··1·····1·11·····1··1·······1··1·····11···1·1··111·1·1··1······11·11······1····11···1·11···
out 112 (231)	·11·1·········1·1·1····1··1·····1·11·1··1·1····1·····11·1·1··1·1·····1··1·········1····1··1··11····1··1···1·1··1·1·1·1··1·1·············1··1···1··1·····1·11·1·11·1··1··1··1···1··1·1···1·1·1····1··1···1·1····1·11111···11··1·11··1······1·1·1···1·11····111··11·11···1··11·1·1······1··1·······1·1··1·11·1··1·1·1··1···11··1··1111········1···11···1··1··11·1········1··1···1······1·1····1·111····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··11·1·111·1·1··1···1···1·1·1·····1··1··1·····1·1·1··1··1·11111····1··1···1·1·1·1·······1·1·1····1·11···11·11··1·1·1····1····1··1····1··1··1···1····11·111·11·1·1··1··1··1·1111·······1··11···1··1··
out 113 (239)	······1··1···1··1···11··1··1··1·1····11·1·1·1··1111·1··111···1···1····1·11····1··1··1··1·1····1·1··1·11·1·111·11·1·1··1·11···1··1·1···1·1·1·1······1····1·1·1··1··1·····1···1··1···1·1·1·11·1···11··1···11·····1··11·11····1···11···11····1·11···1·1·1·····1···11···1··11···········1·1·1········1····1·····1·1······1·1·11·1·····1·····1·1·1··1·1···1111·······1·1···1···1······11···1·1·1·1···1·1··1·1·1·111··11··11·1······1······1·11·1·1···1·1·1····1·1·1·11·1·1·11·11··1··1·111···1·11·····1·1··1·1······1·11··1·1··1····1····1··1··1·11·····11··1····11·1·11····1··11·1·1······1····1·1··11·····1·11···1··1·1····1··1··1····1···1·1··············1·1··1·····1··1··11····11·1··1·1····1···1·1··1·1·1···1111··
out 114 (255)	····1·11·1··111··1·1·1·1······1·1·11···11·111···11···1··111··1··1····11··1··1··1····1·1····1··11····11·1··1·1111··11····1·1·····1·1111·1··111···1·········1····1·111······1··1·1··111····1··1···11··1····111··111··11·1······1······1··1·····111··1·······11···1··11···1··1·1·1··········11··1··1··11···1··1··1·1·1······11111··1····1··1·11···111···1·1······1·111··111·····1·1··1··1····1·1·11····11·111··11····1··1·11·····1··1··11··11·1····11····1··11···11·1··1··1111···1·1··1·1····1111·1··1···111···1·····1····1·111······1··1·1·111·······1···1····11·1··1·11111··11··1·········1······1···1·····11·1··1······11··1····1·1····1···11·····1··1········1·111·11·11·11·1····1··1111·1····11·11···111···1·1···
out 115 (255)	·111·1·1·······11·11·1·1······1··11··11···111···11····11···1···11····11··1··1····11·1·11111···111···11·1··11···1·1···11·1····1··1·111·1111···1·1·1·············11·····1·1···1·····111····11·1·1·····1····111·····11111·1·1···1······11····111····11·······11····11··1·····1·1·11····1111·····1·····1····1··1·········1·1·11111··11···1··1···11····1·11·····111·1·1·······11···11··1··1····1··11·1·1····111··11·····11····1·····1·1··11··11··11··111111···111··11·1··1·1···1··1···111····1·1111···1111·····11·1·········11····1·1····1····111·······11··1··1····1··1·11···11111···11······1······11·····111····1·1······11·····11·1·1········1·····1··1·11111·····1··1··11······11·1··1111·11···11····11····111·····
out 116 (263)	··111····11··11··11··1····11·11111····111···1·111·1·1····111·1·1····1111····1·1·····1·1··111····1·11····1·1···1····1·11····1······11···1111····11·······1··111·1·1···11···1·11···111·1··11··1·1··1········11···1111··1···1···1·1···1·1····1····1·1···1·1···11···111·1··1··1··11·····111···1······1·11······11···1·1····1·1··111····1·1··1·1·1····11·1···1···111···11··11·····11···1····1111·11····1·11···1111···11·····111····11···1111··11·····11··111····111····1·1····1······111····1···11·····111·1····11····1··1111·1··11····1·11··111·1····1·1···1··1··1······11·1111··1····1······1·1···1·1·····1·····11····1··1·1·1···111··1···1····1·······11··111·····1··111··11·1·1··1·1····111···1·11·1··1···1·11···1··
out 117 (247)	·1·11··1·11·1·1·1··1·······1··1·1····11·1··1··1·111··11····1·1··1···11··111···11··1···11·1···1·1··1··1111·1··1·1·1·1··1···11····1·1··1···1··1·····1·······111··111·1·11·1···11···11··1··1···1·1·11······111···1·11··1·1···1··1·11······1·1··11···1··1·····11·····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··111·1·1··1····1········1·1·1···1·1··1··1·1·11··1·11·····1····1··1·11··11·11·1···11·1··1··1·1··1111·1···1·1··1··1·1··1·1··11···1····1···1·····1···1·11·111·111·1····11··11··1····1·····1··1·11···11·1·1·11··1··1·····1···1·1·1······11···11···1···1····11······11······1····1·····1····1·1···1···1··1·1··1·1·1·11·1···1·11··11··1······1·1·····1···
out 118 (71)	······1··1···················11·11···················1····1············································1·······1··········1··1······1···1··················1·········1·····1·1··········1·1····················11··11················1···1··································1·······1···········1···1······1·····1·················1·······1······1·1···········1·1······················11·11····················1·····1········································1········1··········1··1····1·····1················1·······1······1·1···········1··1··················11··11····················1···1············································1·····1·········1··1··1····················1·····1·······11······
out 119 (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 120 (247)	·1·1·1····1·111··1·1·1·11·······1··1···11·111···1·1·1·11···1···1····1····1··1··1····1······1··111·····1·1··1·····1···11··1·1··1·····1·1·11···1·1··11····1·11···1··11·1····1····1··11·1·1····1···11··1····1·1··11···11111·····1·111·11·····111····1·111····11···1··111··1··1·11·1·····111········11····1·····1···1····1·1······1·1··1·1····1····111··11·1···1·1·1···1·111·····1·1··1··11·····1··1·1··11·111··1···11·11····1·····1···1····11·1····1·····1··111····1·1···1······1···11·1··1·1···1···1·11·····11··11·11·1··1··111·····1····1·11·11·········1····11·1··1··111···111·1·1·······1·1·1111······111····1··111···11··1····1·11···1····1·····1·1··1·111······11··1··1·1···11········11··1·1··1····111··11·1···
out 121 (247)	··11·111·1····11···1·1····1··11···11··1·1··11··1·1···1·11··1·1··1·····1111··1····1····1·11···1·11··1·11····11······1··1·········1··1··11·1·1·1···11·····1·11·1···11···1·····11·1···1···1·11···1··1······11·1·······111·1··1·····1··111···1·1··1··1··11·1····1··1·1111··1·····11·····11·1·1···1··11··1·1····1··1·1·1····1···11·····11·1·····1·1··11······1···11·1111····1·1·····1··1····1·11···11··1··1··11·1·1····1·11···1····1··1···11111··1····1·11··1··11·1·11·····11········1·1·······1·1····11·1··1··1··11··11·1·1··11··1······11·1··1··1·1···11·····1··1···11··1·····111···1···1·······1·111···1··1··1··1···11··1···11···11·11···1············11··11·1··1··111·11·1·11·1··1·····11····11·1···1··1·11······1··
out 122 (255)	·111··1··11······1··1··11····11···11···11·····1111····11··11·1······1····1··1····11········1·1····1111····11···1··11·····111····1·111·1111·11···1·11····1··1·1·111···11···11·····1··1·····1·1·1·11·······1·1···1·111·11···11········11···11··111···111····11····11·11··11·····11····111··11······1······1··1·············1····1·11·111·····11··1111···111··111··1·11·········1···1···11··11···11····11····1111·····11···11····1····1····11··11········11····1111····1·1···1···1·1···11·1··1111···1111··11···1·11·1··1·1111··11····11····1··1········1··1··1·11····1··1·1·111·1·1·····11·········11···1·1··11·1···111···11·····11··11···1·1···········1·1111···1·1··1···11·········1······111·1·1···1·1·111·1··111··
out 123 (271)	·111111·····1·11·11·11··1··1·11····1···1··1·1··1·11·1·1····1···1······1·11····11··1·····1·11··1·1··1·1111·1··1·······1··11······1·1··1···1·1·1·111·1····1·111··111·1·11···1··1·1···111·111··1·1·····1···11····1111·11··1·1·1····1···11·1·1·1··11··11·1·····1·····111····1···1··1····11·1·11······1··1·1·····1···1·1······11·1·····11····1····1··1·1·11111·1111111····1·1·1···11··11···1·111····1····1··1·1·1·1··11·1·····1·····1·····1·11·11·1·····1·11··1·1·1·1111·1···1········1·11·····11···1····1··1··1111·1·11·11·111·111····1··1·1··1111···1·1···1··1····1·11···1111·11····11···1······1··11··11··1··1·1··11·1····1······11·1······1········1····111·1··1·1··1·11··1·1·1····1··1·1····11··1·····1·1··111111··
out 124 (247)	·1·····1·1··1····1111·····11·1····1···111·11······1·11111····1·11······1····1·11·11···1··111·111·······11·1111····11·11·11···1····11·111·······11·11········11·11·11·1······11·······1··1·1·1····1··1·····11··1·11···1···111·······1···1·······1·1111··1···11··1····1··11···1111········1·1··1··1···1······11·1········1·111·········1··1··1·····11··111···1·····11··1·······111·1·····111····1···1·11·11·······111111········11·1····1··11111···1··1111·11······11·1·111·····1·11111···1··11··1·11········11·11·····1111·111·······11······1····1··1··1·····1·1····111·11···1····1··11········1····1········11·111···1·1·11·······1···1·1········1·11·1·····1··111··1··111·····1·1··11········11··1·····111·111···
out 125 (247)	·1··1·1······11···1·11·11·11·1···1·1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1···11·11··1··1······11··11·····1···1·1···111··1··11······1111··11··········1·····1111··111·····1········11····111···11··111·1·1···11····1···11··1·11··1··1·1·····11····1·1·11·1····1···11·······1·11···1···1···1·1····1····11··1··1······11···11·1···11···1··1·1·····11······1··11··11111···1·1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1··11·11···1··1·······11·111···1··1···1····111··1··11··1·111·11··········1····1111····1·11·······1·····1·1··111···1·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1·····1·1··11····11····111·1·1·1·1··1······11·1··1····11···11··1··11···
out 126 (239)	·111······1······1··1··1········1·11···11·····1111····11··11·1······1····1··1····11········1·1····1111·1··11······11·····1·1·1··1·111·1111·11···1·11····1······111····1···1··1···1··1···1···1·1·11·······111····111··11···11········11···11··111···111····11····11·11··11···1·11·····11··11·····11··1···1··1·············1····1·11···1·········111··1·111··111·····1·········1···1···1······1·11····11····1111·····11···11····1····1····11··11········11····1111·1··1·1·······1·1···1··11·1111···1111··11···1·11·1·····111···11···1··1··1··1·····1·····1··1·11····1·11··111··1·1·····11·········11···1·1··11·1···111···11·····11··11···1·1········1··1·1·11···1·1·11·1·11·········1······111···1·······111··1·111··
out 127 (263)	··1·1·11····111··1·1·1·11····1···111···111111····1···1··11···1··1····111·1··1··1····1·1····1··111····1·1··1·111···11····1·1·····1·11·1·1··111···11········11···1·111·1····11···1··111··1·11·1···11··1····1·1··1·······1···1··1·1····1··1·1···111··1····1··11···1··11···1··111·1·····1····11··1··1··11···1·····1·1·1·······1111··1··1·1··1·1····1111·11·1····1·1·11···111·····1·1··1··11··1···111····11·111···1····1··1·1······1··1··111·11·1····11····1··111···1·1··1··111····1·1··1·1····111··1··1···111···11····1·1··1·1111·····11···1·111·1·····11··1····11·1··1··11········1·····1···1·1····1···11····11·1··1·····111··1····1·1····1····1··1··1··1··1·····1·111·11·1··11·1·······1111·1··1·11·1····111·111·1···
out 128 (55)	··1······1··············1····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··11·········1·································1··········1············1···········1···1·········1····1···············1·······························1······1···············1··11··········1··································1············1···········1········1····1·······1··1·········1································
out 129 (263)	·11·11···1··11··1·1111·1··1··11··1·1·1··1··11·1·111··11·1············1·11······111··1··1··1····11·1·11··1···1··1··1···1·1····11·1··1····1···11··1·1·····1····1·1···1·11·1······1·1·1·1······1·1··1······1·1···11···111···1·1···1·1··11···111·1·1·11·11·1··111··1·1·1···11··11·11······11··1·····11·11·······1·1·1·1····1··1··1··1·1·····1·11····111·1·11···11·11··1··11···1···11·11··1·1·11··1·11····1··111·11··1·11·1··············1·11···11···1·1··1····111·11··1····1··1···1···11····111·1······1····1·1·1·1··1····11···111·1·······11·1·1··········1··1··1···1··1·11···111····1···1····1··1·11···1·11·1··11·1·11··111·11···1··1····1·1·····1··1··1·1··11····1·1111···111·1··1····1··1·1·1···1·11····11·11·11···
out 130 (231)	··1··1······111····111········1···11······111·11111·1········1·1···············1·11·1········1111·1111111·1······111·11······11·1·111······111·11··········1····1111·11··········11111·11·····1·····1·········11·1111·····11·1··11·1·1·····11111·1·············1111·····1·1··11········1·11·········1·1·1···1········1·1·1·········1······1·1·······11111···1··1·····111·······1·11·······1···11·······1111111··11············11···········111··1······1·1111111111·1········11·111·····111111·········11·111·······1···111111··········111111···1········1····1······11·1111·1······11··1···111·1······1111·11············1··111········1··1·······11·····1··1·1····111·1·····11·1··········1····1··1······11111··
out 131 (231)	·11·1·········1·1·1····11·1··1··11·1·1··1·1····11···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··1·1·11·1·····1··1···1··1·1···1·1·1····1··1···1········111·····11··1··1··111···11·1·1···1·11····111··11·11···1··11·1·1······1··1·······1·1··1·1··1·11·1·1··1···11··1··1·11·······11···11···1··1··11·1········1··1···1······111·1··11·11····1·1···11····1·1·1········11····1··1·····1····1··1·1·1···1··1···1··1··1··1··11·1·1·····1···1···1···1···1··1··1··1·111·1····1···1···1·1·1·····1··1··1·····1·1·1·······111······1··1···1···1·111···1·1·1·1····1·11···11·11··1·1·1····1····1··1····1··1··1···1····11·111·11·1·1··1··1··1·1·11·····1·1··11···1··1··
out 132 (263)	·11···11·1··11··1111·1··1·1··11·1·1··1·1···11··111···1···1·····11·····1·11··1··1··1·1··1··11·1·11··11111·····11··1···1·······1··1··1·1·11·1·1··11·1·····1·1··1··11·1·1··1·11·1·····1····111·····1·······1111··111111··1··11····11··111·1··1·11·1····11······1···1···1······11111······1·1·1··1··11····1····1·········1·····11·····1··1··1·111··1·······11··11···111··11···1··111··1···11·11·1·1·1···1···11·111····1····1·······1·1···1·111·1·1··1·1··111··11·11111······11···1···1······1·1·1··1··11··1·1··11·1··11···1·11·11··1··11·1····1······1·11·······1····11·11111111···1··1··1·····1·1·1111·1··1·11··1····11······1···1····1···········1··1·11·1··1··1··1111··1·1······1······11····1··11·11·1·1·······11··
out 133 (239)	·11·1·1··1···11···1·11·1··11·1···1·1··1·····1····11·1·11·1·····1·····11··1····1··11·1····11··1··1···11··1··1··11··1··11··11·····1·····1···111··1·111······1111··11··········1·····1111·111······1········1·····111···11···11·1·1···11····1···11··1·11·····1·1·····111···1·1··1·1·········1·········11···1··11···1·1····1·1··11··1··1······11···11·1···11···11·1·1·1···11······1··11··1·111···1·1··11·····1···1··11·11··1·······1····11··1·1·11··1···11·1···1··11··1···1··11···1··11·11····1······1····111··1·111··1·111·11··········1····11111···1·1········1·····1····111···1·1·····11··1·1···11····1····11··1··11····1··1·····1·11·····1··1·······1··1······1·····11·111·1·1··1·1····11·1··1····11···11··1··11···
out 134 (239)	·1··1·1······11···1·11·1··11·11·1··1··1·····1···111·1·11·11····1·····11··1····1··11·1·1··11··1··1····1··1··1··1···1··11··11·····1···1·1···111··1··11······1·11··11···1·····111····1111··111·····1········1·····1·1·1111··111·1·····11········11··1·11·····1·1····111····1·11·1·1····1····1·········11···1···1···1·1····1····11··1·········1····11···1·11···1··1·1·····11······1··11··1·1111·1··1··1······1··11··11·11··11······1····11··1·1·111·11··11·1···1···1··1···1··1····1··11·11····1··1···1····111··1··11··1··11·11··1······111···1111····1·11·······1·····1····1·1·111·1··1··11··1·····11·········11··1··11····1··1····11·1······1··1··1····1··11·····1·····11·1·1·1·1··1······11·1·······1····11···1·11···
out 135 (255)	·111·1·1·······11·11·1·1······1··11··11···111···11····11···1···11····11·····1····11···11111···111···11·1··11···1·11··11·1·······1·11··1·11···1·1·1·············11·····1·1··11··1··111····11·1·1·····1····111·····11111·1·1···1······11····111····11······111····11··1·····1·1·11····11111····1·····11···1·······1····1·1·11111··11···1··1···11······11·1···111·1·1·······11···11··1··1····1··11·1·1····111··11·····11····1·····1·1··11···1··11···11111···111··11·1··1·1···1··11··111······111····1·11·····11·1·········11····1·1···11··1·111·······11··1··1····1··1·11···11111···11······1······11·····111····1·1······11·····11···1········1·····1··1·11111·1···1··11·1···1···11·1··1111·11···11····11·····11·1···
out 136 (247)	·1·111······1111111·····1·····1···11·1111·······1·····1111·1·1·1···············1·11·1·111111········1··1···11111·111·11·············111·111111·111········1·····1111·11·1·1·1··········11·······11········1···11·1111·11·1·····1·······1·1111111·1·············11111···1···11··1·····111·11················1··1·1·1··1·1·········1········1·11·1111········1·111·····111111··11·······1···1···111·1·11······1······111·1·1····11···········111··1111111·······1··1····11111··11·111··········1·1·1·11·111·1111····1·····111111·1··1·1········1···1··········11······1·11·1111··1·11········1········11·11111·11············1··111·1····1·······1··1····1·111··1·1·······1·11·1·11··········1······1··11111·1·······
out 137 (263)	····1·11·1··111··1·1·1·11····11·1·11···11·111····1···1··11···1··1····11··1··1··1····1······1··111····1·1··1·111···11····1·1·····1·1111·1··111···1·········11···1·111··1···11·1····111····1··1···11··1····1·1··1·1··11·1······1·1····1··1·1···111··1·······11···1··111··1··111·1·····1····11··1··1··11···1··1··1·1·1······11111··1··1·1··1·11···1111··1········1·111··111·····1·1··1··11··11·1·11····11·111···1····1··1·1······1··1··11··11·1····1·····1··111···1·1··1··111····1·1··1·1····1111·1··1···111···1·····1·1··1·111·1····11·1···111·······1···1····11·1··1··11·1··11··1·········1·1····1···11····11·1··1······11··1····1·11···1····1··1··1··1··1·····1·111·11·11·11·1····1··1111·1··1·11·111··111·1·1·····
out 138 (255)	·111·1···11······1··1··11·····1·1·11···11·····1111····11··11·1······1····1··1····11········1·1····1111····11···1··11·····1·1·1··1·111·1111·11···1·11····1·11···111···11···11·····1··1···1·1·1·1·11·······1·1·····11··11···11········11···11··111···111····11····11·11··11·····11····111··11·····11··1···1··1·············1····1·1··1·1·····11··1111···111··111·1··11·········1···1···11···1·1·11····11····1111·····11···11····1····1····11··11········11····1111····1·1···1···1·1···1··11·1111···1111··11···1·11·11·1··111··11····11····1··1····11··1··1··1·11····1··1···11··1·1·····11·········11···1·1··11·1···111···11·····11··11···1·1···········1·1111···1·1·11·1·11·········1······11··1·1···1·1·111·1··111··
out 139 (239)	·1··1·1······11···1·11·11·11··1·1··1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1···11··1··1··11······1··1···1··1···1·1···111··1··11······1·11··11···1·····111····1111··111·····1········11······1·1111··111·1·1···11····1···11··1·11··1··1·1·····11····1·1··1·1········11·1····1··1····1···1···1·1····1····11··1·········1····11···1·11···1··1·1·····11······1··11··1111·1·1··1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1··11··1···1··11·······1·1···1·1··1···1····111··1··11··1··11·11··1······111···1111····1·11·······1·····1·1····1·111·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1·······1··1·····11···1·1··1·1·1·1··1······11·1·······1····11···1·11···
out 140 (239)	·1·11111·11······················1··········1····11·11111111·1·11···1111··············1·············111·1·111111·111·11·1111·11·1·11·11·111111·11111····1····················1·1····11·1·1··························1·······1··111·1···1··111111·11111·1············1·······1111·····111·11··1···1·1··1·1··11·1·1·1··1·1··11111·····················1··1···1·1111111·························1···········1···1··111111·111····11·1·1111··········1············111·1·1·11111··11·111111·111111··1·1·11·111·111111·1···················1·1···111·····1························1··············1·111····1··11111·11·1111··1············1··············1·11·1·111··1·11·11·111111·1·11····11111··················1··1···
out 141 (263)	·111·1···11·111··1·1·1·1·····1··1·11···11·111···1·1·1·11···1···1····1··1·1··1··1····1·1····1··111·····1·1··1·····1···11··1·1··1·······1·11···1·1·111····1··1···1·111·1····11·1···111·1····1·1···11··1····111··1····11·1······1·111·11·····111····1·111·1··11···1··11···1··1·11·1·····111········11····1····11···1····1·1·1····1·11·1·1··1·1····1111··1·····111·1··11·111·····1·1··1··1···1··1·11····11·111··1···11·11····1·····1···1··1·11·1····11····1··111····1·1···1······1···11·1··1·1·······1·11·····11·111·1··1··1·1111·····11·1··111·1·······1··1····11·1··1·111····11··1·········1·1·1111······111····1··111··111··1····1·1····1····1·····1·1··1·111······11··1·11·1···11·1······111·1·11·1····111·1·1···1·
out 142 (247)	····1··1····111··1·1·1·11····1····11···11·111···11···1··111··1··1····111·1··1··1····1·1····1··111····1·1··1·1111···1····1····1··1·1111····111···11·············1·111······1·11·1··111···111·1···11··1····1·1··1·····1·1······1······1··1·····111··1····1··11···1··11···1··111·1·········111··1·····1····1··1··1···1·······1111··11···1··1·11···111·1·1·1······1··1···111·····1·1··1··11··1····11····11·111··11····1··1·11·····1··1··111·11·1····11····1··111···1·1··1··1111·····1··1····1·1111·1······111···11·········1·111······1·11·1·111·····1·11··1····11·1··1··11·····1··1·········1······1···1·····11·1··1·····111··1····1·1····1····1··1··1··1·······11·11··1··11·1··1·······1111·11···11·11···111···1·1···
out 143 (239)	·11·1····1····1·1·1····11·1·····11·1·1··1·1····11···1·1·1·1··1·1·····1··1·········1···11··1··11····1··11··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······1·111·····11··1··1··111····1·1·1···1·11····111··11·111··1··1111·1····1·1··1······11·1··1·1·····1···1··1···11··1··111·········1···111·11··1··11·1···1····1··1···1·1····111····11·11····1·1···11····1·1·1··1·····11····1··1·····1···11··1·1·1···1··11··1··1·····1··11·1·······1·1····11···1···1··1··11···111·1·1··1·····1·1·1·1·····1·····1·····1···1·····1·111······1··1···1···1·111·····1·1·1····1·11···11·11··1·1·11···1····1··1··1·1··11·1···1···111·11··1··1·1··1··1··1·111········1··11·111··1··
out 144 (247)	···11111·1····11···1·1··1·1··11·1·11··1·1··11··1·1··11·11·11·1··1·····1·11··1····1····1·11··11·11··11111···11··1···1··1···1·····1··1··1··1·1·1····1·····1··1·1····1··11·····11·····1·····11···1··1······1111········11·1··1·····1··1·1·····1··1··1··11······1··1·1111······1111······1·1·1···1···1··1·1····1··1···1····1·1·11····111·1··1····1··11·····11····111111····1·1·····1··1···11·11·1·11··1··1··11·1·1···11·11··11····1··1···1·111··1····1·11··1··11·11111····11··1·····1·1··1····1·1····1··1··1··1···1··1··1·1···1·11······11····1········11·····1··1···11·11······11···1···1·······1·1·1······1··1··1···11······11···11·11···········1··1·11···1·1··1··1·1·11·1·1··1··1·1···11···111·11·····1·11·····11··
out 145 (247)	·1·····1·1··1····1111·····11·1····1···111·11······1·11111····1·11······1····1·11·11···1··111·111········1·1111·1··11111·111··1····11·111·······11·11·······111·11·11······1·11·1·····1··1·1·1····1··1·····11··1·11···1···111·······1···1·······1·1111··1···11··1····1··11····111····1···1····1······1······11·1········1·111·······1·1··1········11··11····1·····11··1·······111·1·····111····1···1·11·11·······111111········11·1····1··11111···1··1111·11·······1·1·111·1···1·111111··1··11··1·11········11·11····11111·11······1·11·1····1····1··1··1·····1·1····111·11···1····1··11········1····1········11·111···1·1·11·······1···1·1··········11·11····1···1···1··111·····1·1··11······1·11········1·1·11····
out 146 (247)	···1111··11······1111·····11······1···111·11·····1·······1·1········111·····1·11·11···1··111·111·····11·······1··11········1··1·1······1111111··········1·1111·11·11······1·1·······1··111··11···1··1·····11··1111···1···111···111·······111111······1·····11··1····1··11··11·······1111·1·······1·11·1·1·······1·1··1······111··1·1·1··1········11·1111·····1111·11·········111·1·····11·····1···1·11·11····1·········1·1·········111···11111···1··1111·11····11········1···11········1·11·······111·111·1······11·11111·11······1·1······1·1···1·1···1·····1·1····111111···1····1··11····1·11······1·11111·······1····1·11·······1···1·1·····1··1·····1111··1····11111···1·1·1·······111·1·1·11········1·11111···
out 147 (255)	····1111·········1··1··11········1·1···11·····111·1··1··111····11····111·1··1····11···1····1·1····111·1·1···111··1···11·1·1··11·····11·1··1··1·1······1········111····1···11·1···1···1··111·1·1·11·······1·1····11111·1···11···111·1·1·1···11····11····1··11····11·1···11··111······1··1·····1··1··1··1·····1·1·1·1··1·1··11·1··11···1······1··1111·1·111·····1111···········1···1···11······1·1····11····111···1·1··1·11······1·1··111·11··11···1····11····111·1·1····111···1···111·1··11···1·1··1···1···11···········111···1····11·1··1···1····1·11··1··1·11····1··1··11111··1·····11····1·111·1··1···11····1·1·····111·····11··1····1·1·····1··1·1···1··1·····11·1·1··111·1·11····11·1·11···1·····1·111·11·111··
out 148 (247)	·1·1·111·····1·1··111··1···1··1·111·····1··1···1··1···1·11·1·1·11····1·11···1·1···111···1·1····1···1··1·1···1·1····1·1···1·········1·····11·11·1·1·1····1·1·1···111···1····1·1····1·11····1···1·11······1··1···111··1·11·1·1·1·11···1······1·1·····1·1·1··1····111··1··11·11··11·····1·11····1···1·1··1·1···1·1·1··········1·1··111··1··1·1··1·1·1····1·1··1·1·111····1··1····11·1···1··1·1·111······1··1··1····1··1·1·1·1····11·1··1·11·11··1··1··1·1····1··1··1·1····1·1······11··1·······1·······1·1·1·11·1·1·11··1··111··1·····1·1···1·11·······1·····1·11···1···1·111··1··1·11···1··1·1·1··1·······1·1······1·1··11···1··11···1···1·1··1··1·····1·1·1·1·1···1·11·11·111··········1·1·111··11·1···11·1····1·1··
out 149 (263)	·1·1·1····1·111··1·1·1·1······1·11111··11·111·····1·1·11··11···1····1··1·1··1··1····1·1····1··111···1·111··1···1·1···11··1·1·11·····1·1111···1·1·111····1·1····1·111······1·······11·1·1····1···11··1····111··111··1·········1··11·11····1111····1·111·1··11···1··11···1··11·1·1····1111········11··1·1·····1········1·1·1····1·1····1··1·11···111··11·····1·1·1···1·111·····1·1··1··1····1·1111····11·111······11·11···11·····1···1··1·11·1····11····1··111··1·111···1···1··1···11·1··111···1···1111·····11·111·11····1·111······1······11·11·········1····11·1··1·11111··1·············1···1111····1·111····1··111··111··1····1·1····1····1··1····1··11111······11·11··1·····11·1······11····11·11···111··11·····
out 150 (263)	·1·1·1····1·111··1·1·1·11·······1·11···11·111·····1·1·11···1···1····1····1··1··1····1······1··111···1·1·1··1···1·11··11··1·1·11·····1·1111···1·1·111····1·11···1·111·1····11·1····11·1·1····1···11··1····1·1··11···11·1······1··11·11·····111····1·11·····11···1··111··1··1111·1····11111·······11··1·1·····1········1·1·1····1·1··1·1··1·1····1111··1·····1·1·1···1·111·····1·1··1··11·····1·11····11·111······11·11····1·····1··11····11·1····1·····1··111··1·1·1···1···1··11··11·1··111···1···1111·····11·111·11·1··1·1111·····11·1···11·11·········1····11·1··1··111···11··1·········1···1111······111····1··11····11··1····1·11···1····1··1··1·1··11111·1····11·11··1·····11·1······11··1·11·1····111·1·1·····
out 151 (255)	···11·····1···1·111·1·····1··11··11··1·1··1···1··1··1··11··1···1····11··11··1····1·····1··11··1···1·1111···11··1·11··1··1111·1··1··1··11·1··1··11··1······11·1···11···1·1·11·1·1·11·······1···1·1···1···11·1·······1·11··1·1·1··11·1·····1··11·1··11········1··1·11·1···1·11111······1····1·····1··11·1····1··1·1·1··1····1··11···11·1·····1···1····1111·····11····1···1··1··11··1·····1·11··11·1···1··1··1··1·1·1··11···1·····1···11··111··1·····1··11··1··1·1111····11··1··11··1·111·11·1·1····11·1···1··11··1··1·1·1··11··1·1··11·1·111··········1·····1·1··1·11··1·····1·1·1··1···1··1···111·····1···11··1··11········11···11··1·····1··1··1··1·11···1······1·1·111·1·11·1·1·····1··11··11·1···1···1····1111···
out 152 (263)	··1······1···1··1···11·····1·11··1···11·1·1·1··1111··1·1111··1········1111····1··1··1·11·1····1·1··111111·111·11·111··1·111··1····1·1·1·1·1·1······1····1·1·1··1·11·····1··11··1···1·1··111·1···11··1···111·······1·111····1···11········11·11···111·1·1···1···11······11··11·······1·1·········11····11···11·1······1·1·11·1·····1·······1·1··1·11··1111···1·····1···1···1······11·····111··1··1·1··1·1·1·111··1·1·11·11·····1······1111·1·1···111·1····1·1·111111·1·11·11··11·1·1111··1··1·1···1·1··1·1······1·11··1·1·11····1···11··1··1·1····1·11··1····11·1·11·1·····1·11·1······1····1·1·······1·1·11···1·11·1··1·1··1··1········1·1·····1··1·····1·1·······11··1·111····11·1··1·1····1·····1··1·1·1·1·1111··
out 153 (255)	··111111·····1111··11···1·11·11···11·1····11····1·1·1····1·1····1······1····1·1·····1··1·····111········1·1···1··11·····111·······11····111111····11······1111·1······1·1··1·1·1·····1··1···1·1·1···1······1···11·111·11··11···1···1·1···111111···111··1···11···11111···1····11·····1111·1···1·············11·····1··1····11·····1·1·1····1111·11·1··11·····111111····11·11····1·1····11111···111······11···1···11·····1·1·······1····1··11·····1·1····1·11·······1·1····1···11····111·····11······11·111·1···11··1·1111·····1·1···1·1·1····1····1·····1··1·1··1·····1·11·111··1·1···11····1···1·1···1·11111····111···1·1·1···111·11·1···1··········11··1111··1··1······11···1·1·····11····1·1·1··11·1111··1·11····
out 154 (263)	··11111··11·1····1111·····11·1··111···111·11·····1·······111········1111····1·11·11···1··111·111····11111·····1··11········1··1·1···1··1111111··········1··111·11·11······1·1·······1···11··1····1··1·····11··1·11·111···111···111········11111······1·1···11··1····1··11···········1111·1·······1·11·1·1··1····1·1··1······111····1·1··1········11·1111····11111·11·1·······111·1·····111··111···1·11·11····1·········111·········1111··11111···1··1111·11···11111······1···11········1·11··1····111·111·1······1··11111·11······1·1······1·····1·1···1·····1·1····111·11·111····1··11····1·11········11111·······1··1·1·11·······1···1·1·········1····1111··1····111111··1·1·1·······111···1·11········1·11111···
out 155 (247)	···1·1··11··11·1·1·····11·1······1····11··1····1·······1·1·1·········1··1······1·1··1···11·1·11····1··11··11·111··1···1·1·1··1····1··11··11·11··1·1·····1····1·1·1·1·11···1111·1··1·1····1··1·1·1···1···1·····1·1··11111··1··1·11··1·1·1···1·1·1·11·11····111····1··1·····1111······11·1··1······1·11·1·1··1···········1··1··1··1·1·······11·1·1··1·11··1····1·1··1··11··1···1·······111·····1····1·1··1···1········1··1·1··········1··1···11···1··11·11·1···1··11··1·1·111···1···11·1··1··1···1·1··1·1·1·1·1·1··1····11·1·111····1111·1·1·1·······1···1··1·1··1·1····1·1··111·1·1···1···1·1·1·1·1··1···1·1··11·1·11···11·1····1···1········1··1··1·1···11·1····1··111111·······1····1··1·1·1·····11··11···111··1··
out 156 (255)	···1111···1·1····1111···1·11·11··11··1111·11·····1·······111········111·····1·11·11······111·111····1111······11·1········11··1·1······1111111···1······1··111·11·11······1·1·······1··1111·1····1··1······1··1··1··11···111···111········11111······1·····11··1·······11············11111······11·11·1·1·······1·1··1···1··111····1·1··1········11·1111·····1111··1·1·······111·1····11111··11·1·1·11·11····1·········111·········111···11111······1111·11···1111·······11··1·······1·1·11·······111·111·1··1···1··11111·11······1·1······1·1···1·11··1·····1·1·····11··1··11··1·1··11····1·11········11111·······1····1·11···········1·1···············111·11···111111···1·1·1··1····111···1·11········1·11111···
out 157 (255)	·11···1···1···11···1·1··1·1·····11·1··1·1··11··1··1·1·1··11····1····11·111··1····1····1·11···1·11··11···1·1··11··1···1··1111··1···1·11·11·1·1··111·1·······1·1····1···1·····1······111··1·1···1··1······1111···11······1··1····1·1··11·1·11·11·1··11···1····1··1·1111··1····1·········1·1·1·····1··1····1··11········1···11··11··111·1··1··1·1··11··1··11··11···1··1···1·1·····1··1···11····11·1··1··1··11·1····11·1···11······1···11·1111··1····1·11··1··11·11···1·11··11···1···1·111·1·1·1·1·1··11··1·1··111·1····1·1···1··1······1·····111····1··1·····1··1···11·11·11········1···1·····1··1·11··11·1·11··1··11····1···11···11·11···1··········1·······1··1··1·1·1··111·····1··1··1··11·111·11··1··1·11··1··11··
out 158 (263)	·1111·11·11·111····111··1····11··11·······111·111···1·111111····1···111········1·11·1········1111·111······1111·········1111·1······111·111·······11····1·11····1·11··1····1·····111····11····1·····1·····1···1··111······11·1·1····1··1··1·······1111·········1111·····1·11···1····111······1···1·1·······11·1·1·1·······11111··1·1····1·111·····1·11111··1111·1111·111·······1·11···1··11··11········111111····1·111·111·······1·111·····111··1······1·111111·······1111·········111·11····111·1·11·1·······11·11·1···1·11·1·····1····111······1·1······1····1····1·1··111·········11··1·1····1···1··1········1111·······1··111········1··1··1·······1111······1·11···1111·1·······11111·1·1··1·11·1·····111111··
out 159 (247)	·1··1·1······11···1·11·11·11··1·1··1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1···11·11··1··1······111·1···1··1···1·1···111··1··11······1111··11··········1·····1111··111·····1········11······1·1111··111·1·1···11····1···11··1·11··1··1·1·····11····1·1·11·1····1···11···1··1··1····1···1···1·1····1····11··1··1······11···11·1···11···1··1·1·····11······1··11··1111·1·1··1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1··11·11···1··1·······11·1···1·1··1···1····111··1··11··1·111·11··········1····1111····1·11·······1·····1·1····1·111·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1·····1·1··11····11··11·1··1·1·1·1··1······11·1··1····11···11··1··11···
out 160 (79)	······1··1··················111·111·············1·········1·········································1··1··········1·······1·········1··1·························1···1·······1·1········1·1···················111··111·········1·········1·································11···········1·······1··········1····1·······················1··1········1··1········1·1······················11·111·············1···········1·····································1··1············1······1·······1····1······················1··1········1·1·········1··1·················111··111·············1·········1·········································1··1··········1····1·····1··1····················1··1········1··1···
out 161 (255)	·11·1·11··1·11·1·1·····1··1·····11····11··1····1·11··11·1····1·11···1·1·1······1·11·1·1·11·1·11····1·1·11···1····1·1·1···111··1·1··1····1··1···1·1·1······11·1·1···1·11···111··1··1··1···1··1·1·1···1···1·1···1·1···1111··1··1···1··11···11·1·1····1······111····1········1···11····1·1··1···1··1···1·······1·1·1·1··1·····11·1·1111····1·11·1·1··1··1··1··11·1·11·1·11··1···1·······1·1····11····1·1··1···1·1··1·11·1········11·1·1·1·1···111··11·11·11·1···1·1·11····1·····1··11··11·1·11·1······1···1···1·1·1··1·1·11···111····111··1·1··1······1···1··1·1··1·1··1·1·1···11·1·1···1···1····1·11···1·1·1·1·····1·····11·1··1·1············1········1·11·1···1··11··1···111·1·1······11·11111··1·11··11···1·1··1··
out 162 (255)	··11·1·1··1··11···1·11·11·11·1··1··1··1·····1········1··1·11·1··1···1··1·1····1··11·1·1··11··1··1·····11··1··1···111····1·11·11···11·1··11···1··1·······1·1111··11··········11·1··11····1·······1········11····111·1111··111·1··11··1··1·1111··1··1··1·1··1·1·····11····1·1···1··1···1111·1··1··11··1·1·······1······1···111··1·1··1······11···11·1·1·1·····11·1·1·1··11······1··11··11111··1··1··1······1········1··1··11····1··1·1··1·1·1·11··11··11·1···1····11··1···1····11·1··1·1·111·11··1···11·····1·1····11·111·11··········11·1·11······1··········1·····1·1··111·111·1··1··11··1···11·1···11·111···1··1··1··11··1·····1·1······1··1········1···111·1··1111·11···1····1··1··11··11··1····11···11··11·1····
out 163 (255)	·111·1···11·111··1·1·1·11····11··111···11·111·····1·1·11··11···1····1····1··1··1····1······1··111···1·111········1···11··111··1·······1111···1·1··11····1·11···1·111·1····11·1····11·1····1·1···11··1····1·1··1·1·····1······1··11·11····1111····1·111····11···1··111··1··11·1·11····111·········1····1····11········1·1······1·1··1·1··1·1····1111··1·····111·1··11·111·····1·1··1··11··11··111····11·111······11·11···11·····1···1····11·1····1·····1··111··1·111··········1···11·11·1·1·······1111·····11··11·11·1··1·1111·····11·1···11·1·······1··1····11·1··1··11·1······1·········1···1111····1·111····1··111···11··1····1·11···1····1··1····1··1·111·······1··1·11·····11········11··1·11·1····111·1·1·····
out 164 (263)	·1·1·1·1·1···1·1··111··1···1············1··1···11·1·111·1111·1·11····1·11···1·1···1·1·1·1·1····1···1··1·1···1·11···1·1···11·11·····11····11·11·1···1····1·1·1···111··11······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·····11·11··11····11·11····1··11··1·1·1··11·1·1········1·1·1··111··1··1·11·1·1·11···1·1··1·1·1·11···1··1····11·1···1··1············1··1··11···1111·1·111····11·1··1·11·11··1··11·1·1····1··1··1·1····1·11·····11··11··1···11······1·1·1·11···1·11··1··111·11·······1···1·11····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··1·····1·111·1·1···111·1111111······1···1·1·111··11·11··11·1·1··1·1··
out 165 (263)	·11···11·1··11··1111·1··1·1··1··1····1·1···11··111···11··11····11·····1·11··1··1··1·1··1··11·1·11··1·111·····111·11··1··········11·111·11·1·1··11·1·····1····1··1··1·1··1·1··1·1···1····111·····1·······1111··11·111·11··11····11··111·1·11·11·1····11······1···1···1·······1111····1·1···1··1··11··1·1·1············1·····11····11··1····111··1··1·····1··11···111··11···1··111··1···11·1··1···1···1···11·111····11···11······1·1···1·111·1·1··1·1··111··11·1·111······111··11··1········1·11·1··11··1·1··11·1··1····1·1··11··1··1··1·1··1······1·11·······1····11·1111·111·1·1··1··1·····1·1·111··11·1·11··1····11······1···1····1··············1·11·11·1·····1111·111·······1······11···11··1··11·1·1···1····1··
out 166 (263)	··1·1·11····111··1·1·1·11········111···11·111····1··11··11···1··1····111·1··1··1····1·1····1··111····1·1··1·111···11····1·1·····1·1111·1··111···1·········11···1··11·1····11·1·1··111··1·11·1···11··1····1·1··11······1······1·1·······1·1···111·11····1··11···1··11···1··111·1·····1····11··1··1··11···1··1··1·1·1······11111··1··1·1····1····1111··1·1····1·1·11···111·····1·1··1··11······111····11·111···1···11··1·1······1·11··111·11·1····11····1··111···1·1··1··111····1·1··1·1····1111·1··1···111···1·····1·1··1··111·····11·1·1·111·1·····11··1····11·1··1··111·······1·········1·1········11····11·11·1·····111··1····1·1····1····1··1··1··1··1·····1·111·11·11·11·1····1··1111·1··1·1··1····111·1·1·1···
out 167 (239)	·1··1·1······11···1·11·1··11·11····1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1···11··1··1··11··1··11··11·····1···1·1···111··1··11······1·11··11···1·····111····1111··111·····1······1·1·····1·1··111··111·1·1···11····1···11··1·11··1··1·1·····11····1·1··1·1·········1·········11···1···1···1·1····1····11··1·········1····11···1·11···1··1·1·····11······1··111·1·1111····1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1··11··1···1··11···1··11·11····1··1···1····111··1··11··1··11·11··1······111···1111····1·11·······1···1·1····1·1··11·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1·······1··1······1·····11·1·1·1·1··1······11·1·······1····11···1·11···
out 168 (263)	··111·1···1··11··11··1··1·11··1··1····111···1·111·1··1···111·1·1····111·····1·1·····1····111····1·11····1·1···11··11·11···11·1····111··1111····1········1·1111·1·1···11···1·11·1·111·1···11·1·1··1·········1····1·11·1···1···1·1···11·····1····1·1···1·····11···111····1··1··11······11·1·1·····11·1········1···1·1····1·1··111··1·1·1··1·1·1····11·1··11···111·1··1··11·····11···1···111·1··1····1·11···1111···1·1····111····11···111···11·····1···111····111····1·1····11···1·111··1·11··111····111·1····1·····11·1111·1··11····1·11·1111·1······11··1··1··1·······1··1·11·1····1······1·1···11······1·····11····1····1·1···111······1····1·······11···11··1··1·111····1·1·1··111····111·1·1·11·1··1···1·11··11··
out 169 (263)	··1····1··1·1·11·11·11··1··1··1··1·1···1··1·1··1····11·111···1··1···11·111···111··1·····1·11··1·1··11··1···11·11·1·1··1····1·11····1··111·1·1····11········11··111·1··1···11·1·····11···1·1·1·1·····1···11····1·11·1···1·1·1···1·1·1·1····1·11···1··1··1···11····111····1····11·····1·1·1····1··1··11···1··1··1·1····1·1···1·11··111····1··1·1··1···111·1···1····1·1·1·1·1···11··11···1·1·1··1·1····1··1·1·1·····11·11·1······1··1·11·111·11·1·····1·11··1·1·11··1····11·11··1··1·1····111··1····111··1·1····11·····11·111·1·1····11·1····11·····1··1··1··1····1·11···1·11·1·····11···1····1··11·1·····1·11···1···1···1·1·1····11·1······1··········11··1·1··1···11·11·11·11···11·····1·11·111··1··1··1·1···111·1··
out 170 (263)	··1···1··1···1··1···11··1··1·11··1···11·1·1·1··1111····1111··1········1111····1··1··1··1·1····1·1··111111·111·11·1·1··1·111··1··1·1·1·1·1·1·1······1····1···1··1·11·····1··11··1···1·1···11·1···1···1···11········1·111····1···11····1···11·11···111·1·1···1···11···1··11··11·······1·1·1·······11····1····11·1······1·1·11·1····11·······1·1··1·11··1111···1···1·1···1···1·1····11···1·111··1··1·1··1·1·1·111··1···11·11·····1······1111·1·1···1·1·1····1·1·111111·1·11·11··1··1·1111··1·11·1···1·1··1·1······1·1···1·1·11····1···11··1··1·1······11··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····11··1·111····11·1··1·1···11·····1··1·1·1·1·1111··
out 171 (239)	·111······1······1··1··11····1··11·1···11·····11·1··1111···1·1······1··1·1··1····11···1····1·1····1111····11·······1·····1·1·1··1·11··1111·11···1·11·1··1··1···11·····1···1······1··1···1···1·1·11·······1·1···1111·1·1···11···1··········1··111···111·1··11····11·1···11·····11·····11·111·····11··1···1················1·1··1·11·1·1··1···1··111····111··111·····1·········1···1···11··1··11·1····11····11·1···1111····1····1····1··1·11··11···1····11····1111····1·1·········1···1··11·111····1111··11···1·11·1··1··11····1····1·····1··1·····1·····1··1·11····1··1·1111·1··1·····11····1···········1··11·1···111··111·····11··1····1·1···········1·1·11··11·1·11·1·1··········1···1··111·1·11····1·111····111··
out 172 (239)	·1·1·11··11·1·1·11·11··1···1·······1·111···1···111····1·11·1·1·1····1·1·1···1·11·1·····1·1·1···1···1·1····1·1·11···1·1··1··1·11·1·1·1··1·11·11·1··1·······111······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····11·11·······1·············1······1···11·1·1·1111·1··1···1···1·····1·1··1·1·11·11·1·1··1··1·1·1···1··1······11·1·1···1··111·····1·1·1·1····11···1·1·1·1111·····1·1·1···1··1·1····1··1·11·····11·1···11111·1····1·1·1·1111··1···1·11·····11··1··1·11···1·········11············1···11·1·1·1·········1··1·1··11·1······1·1·····1·1····1······1·1·1······1··1·····1·1··111·1·1····1·······1····1··1··1·1·11111·11····1··1·····1·1··
out 173 (271)	·111·11···1·111··1·1·1·11·······1·11···11·111·····1·1111···1···1····1····1··1··1····1······1··111·····1·1··1···1·11··11··111·11·····1·1·11·1·1·1·111····1·11···1·111·1····11·1····11·1··1···1···11··1····1·1··11···11·1······1··11·111····111····1·111····11···1··111··1··1·11·1····11111········1··1·1·····1···1····1·1·1····1·1··1·1··1·1····1111··1·····111·11··1·111·····1·1··1··11·····1·11····11·111······11111····1·····1···1····11·1····1·····1··111····1·1···1···1··11··11·11·111···1···1·11··1··11·111·11·1··1·1111·····11·1···11·1····1·····1····11·1··1··111···11··1·········1···11111·····111····1··111···11··1····1·11···1····1·····1·1··11111·1·····1·11··1·1··111·1······11··1·11·1····111·1·1·····
out 174 (263)	·1··1··1··1·1··111··11·1··11·11·1····1·11···1···1····111·1·····11···1··1·1····1········11··1·1··1···1·1···11··11·····11·1·11·11···111·11··111··1·1······1··111···111·11·1·1··1·1··11··········1··1·······1····1·1·1····1··11·1·111··1····1···11··11··1·1··1·1·1111·····11·111·11········11···1··11··1·1····1······1····1·111··1·11·1····1··111···1··1·1····1··1··1·1·1···11··1···11··1·1111·1···1···11···1··1·····111··1·······1·1·1··1·1·1·······11··11···1··1·1···1·1··11······111·1·111·111···11···111··1·1···1··111··11111·1··1··1·1·11···············1··1····1···1·1·1······1···11··1·1·11·1····1····11··1·1··1··11··11··11·······1·1··1··1··1··1·1·····11··111·11·1····1··1·1··11··111·1··1··1·11··1··1·1····
out 175 (239)	···111·1······11···1·1····1··1·····1··1·1··11··111···1·11·11·1··1·····1·11··1····1······11···1·11··1111····11·····1···1······1··1··1··1··1·1·1····1·····1··1·1···11···1····11······1····11····1··1······11·1····1··11··1··1····11··111·····1··1··1··11······1··1·111···1···1·11·····11·111···1··11····1····1··1···1····1·1·11····111·1·····1·1··111·1··11····111·1·····1·1·····1··1····1·1·····1··1··1··11·111····1·11··11····1··1···1·111··1······11··1··11·1111·····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··11····1···1·····1·1·111······1··1··1···11······11···11·1····1·······1····11··11·1·111·111··1·1·1··1··1·1···11···111·1···1··1·11·11··11··
out 176 (247)	·1111·11····111····111·······1············111·11·····11111·1····1···111········1·11·1········1111·11···1···1111·········1111·1······1111111·······11····1··1····1·11·11····1·1·1·111····111···1·····1·········1·111111····11·1·······1·1·11·······1111·········1111·····1·1·1··1····111······1···1·1·······1··1···1·······11111····1····1·1·1·····1··11·1··1111·11···111·······1·11······1·············11111······1111·1·1·······1·111·····111··1······1·11111···1····1111·········111·11····1·1·1111·1·······11·1··1···1·1111·····1·1·1111······1·111····1····1······1·111111·······11··1·······1··11·1········1111·······1··111········1··1·····1····1111······1·11···1·1··1·······11111···1··1·1··1·····1·11·1··
out 177 (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 178 (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 179 (239)	·1··1·1······11···1·11·11·11··1·1··1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1····1··1··1··1······11··11··1··1···1·1···111··1··11·····11·11··11··········11·1··1111··111·····1········11······1·1111··111·1·1···11····1···11··1·11··1··1·1·····11····1·11·1·1····1···11·········1····1···1···1·1····1····11············11···11·1·1·1····1··1·1·····11······1··11··1111·1·1··1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1···1··1···1··1·······11·11··1·1··1···1····111··1··11··1··11·11··········11·1·1111····1·11·······1·····1·1····1·111·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1··1····1··11····11·····1··1·1·1·1··1······11·········11···11··11·1····
out 180 (255)	··1111····1·1····1111·····11··1···1···111·11·····1···1···1·1········1111····1·11·11···1··111·111·····11·······11·11········1··1·1···1··1111111···1······1··111·11·11······1·1·······1····11·1····1··1·····11··11·1···1···111···111···1···111111······1·1···11··1····1··11··11········111·1·······1·11·1·1··1····1·1··1···1··1·1····1·1··1········11·1111····1111···1·1·······111·1·····11·1···1···1·11·11····1····1····1·1·········1111··11111···1··1111·11····11········11··11········1·11··1····111·111·1··1··11··11111·11······1·1······1·······11··1·····1·1····1111·1···1····1··11····1·11··1···1·11111·······1··1·1·11·······1···1·1·····1··1······111··1····111111··1·1·1··1····1·1···1·11········1·11111···
out 181 (239)	·111······1······1··1··11····1··1·11···11·····11·1····11···1·1······1····1··1····11········1·1····1111·1··11······11·····1·1·1··1·11··1·11·11···1·11····1······111····1···1··1···1··1···1···1·1·11·······1·1···1111··11···11···1····11····1··111···111····11····11·11··11···1·11·····11··11·····11··1···1·······1········1····1·111··1······1··111··1·111··111·····1·········1···1···11··1··1·11····11····11·1·····11····1····1····1····11··11········11····1111·1··1·1·······1·1···1··11·111····1·11··11···1·11·1·1···111···1····1··1··1··1·····1·····1··1·11····1··1·1111··1·1·····11····1····11·····1··11·1···111···11·····11··11···1·1········1··1·1·11···1·1·11·1·1···1······1······1111··1·····1·111··1·111··
out 182 (263)	·1·····1·1··1····1111···1·11······1···111·11····1·1·11111·1··1·11······1····1·11·11···1··111·111·······11·1111····11·11·11···1····11111········11·11······1·11·11·1111····111··1·····1··1·1·1····1··1······1··1111···1···111···1···1···1·1·····1·1111··1···11··1····1··11···1111········1·1··1··1···1·······1·1·1······1·111·····1···1··1·11·····1··111····1·····11··1·······111·1····111·····1···1·11·11···1···111111··1·····11·1····1··11111···1··1111·11······11·1·111·····1·11111···1··111·1·1·········11·11··1··1111·111·····111··1····1····1··1··1·····1·1·····11111···1····1··11····1···1····11·······11·111···1·1·11·······1···1·1········1·11·1·····1··111··1···111····1·1··11····1···11·11·····1··111····
out 183 (255)	·111··1··11······1··1··11····11···11···11·····1111····11··11·1······1··1·1··1····11···1····1·1····1111·1··11···1···1·····111····1·11··1111·11···1111····1··1···111···11···11·····1··1·····1·1·1·11·······1·1···1·111·11···11········11···11··111···111·1··11····11·1···11···1·11····111·111······1······1·····················1·11·1·1·····11··11·1···111··111··1·11·········1···1···11··11···11····11····1111·····11···11····1····1··1·11··11···1····11····1111·1··1·1···1·····1···11·1··111····1111··11···1111·1··1··111··11···111····1··1········1··1··1·11····1··1·1·111·1·1·····11·········11···1·1··11·1···111··111·····11··1····1·1········1··1·1111··11·1··1···1·················111·1·1···1·1·11··1··111··
out 184 (247)	·1··111··1··1·····11···1··11·1···1·1··1···11··111·····11·1···1·······11··1····11·········11···11··111·11··11··1··111·····11···1···111·1···1··1··1111········11···111·11····11····11······1····1·1···1····1····1···111·1··1·····111··11···1·11··1···11·····1·1··111·11······1··11····1··11·1········11·1····1····1·1··1······11··11······1··11··11···11··1··1··111·1··1········11·····1·111···1·1··1····11·111······11··1······1·····11··1·11········11···11·111·11··1·1··1···11·1···11···1·111···1····1···1·1111·····11··11111·····11···11·········1······1·1··1··1···1···111··1··1········1·11·11···1··11···1···11····1··11··11··11···········1·····1·11··1·1··1···111·1··1·1·1·······11·11····1··1·1·11···11··1·1
out 185 (255)	····1·11·1··111··1·1·1········1·1111···11·111····1···1··11···1··1····11··1··1··1····1······1··111···11·1··1·1111···1····1·1··1··1·1111·1··111···1·········1····1·111······1··1·1··111····1··1···11··1····111··111··1··1······1·1····1··1·1···111··1·······11···1··111··1··1·1·1·········111··1··1··1····1··1··1·1·1······11111··1····1··1·11···111···1·1······1·111··111·····1·1··1·······1·1111····11·111···1····1··1·1······1··1··11··11·1····1·····1··111··11·1··1··1111·····1··1·1··1·1111·1··1···111···1·····1····1·111······1··1·1·111·······1···1····11·1··1111111··1···1·········1·1····1···11····11·1··1······11··1····1·11···1····1·····1··1·······11·111·1··11·11·1····1··1111·1····11·11···111···1·1···
out 186 (239)	·111······1······1··1··1·····1··1··1···11·····11·1··1·11··11·1······1····1··1····11········1·1····1111·1··11······11·····1·1·11·1·11··1111·11···1·11····1······11·····1···1··1···1··1···1···1·1·11·······111···1111···1···11···1·····1···11··111···111····11····11·11··11···1·11·····11··11·····11··11··1················1····1·11···1··1···1··111··1·111··111·····1·········1···1···1···1··1··1····11····11·1···1·11···11····1····1····11··11········11····1111·1··1·1·······1·1···1··111111····1111··11···1·11·1·····11····1····1··1··1··1·····1·····1··1·11····1·11·1111····1·····11····1·····1···1·1··11·1···111···11·····11··11···1·1········1··1·1·11···1·1·11·1·1··········1······111···11····1·111··1·111··
out 187 (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 188 (239)	·1··1····1···11···1·11·1··11··1·11·1··1·····1····11·1·11·1·····1·····111·1····1··11·1·1··11··1··1···11·11··1··1···1··11··1···1··1···1·1···111··1··11·······111··11·1········1·····1111···1······1········1·······1·1·11··111·1·1···11····1···11··1·11··1··1·1·····11····1·1·11·1····1····1······1··1····1···1···1·1····1····11··11·1······11···11·1···11···1··1···1···11······1··11··1·11·1·11·1··1······1···1··11·11··1·······1····111·1·1·11··11··11·1···1··11·11···1··1····1··11·1···1·1··1···1····111··1··11····111·11·1········1····1111······1········1·····1······1·1·1·1··1··11··1·1···11····1····11··1··11···11··1·····1·1······1··1·····1·1··11·····1···1·1··1·1·1·1··1······11·11·1···111···11··1··11···
check 189 (264)	···1·····1··1·····1·11·11·11·11·111··1·11·11··11·11·1·11·11··1··1···1··1·1····1··11·1·111··1··11··11·1··1··1··1··1·1····1·11·11···1111·111·11··1·111·······1···1·111··1·····1··1··11···1·1·11·1·1········11····1·1·1···1·······1···11······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··11····1··1··1···1··11·1···1······1····1··1········1··11··111111·111·1···11·11·11·1··11·11··11·····1··1·1··1·1·1·11··1111··1··11·11·1··1···1··1···1··1··1·1·111·111·1··111··11··1·111····1··1·111·1······1··1·11··1·····1··11··1·1·····1·1··1·1·1·····1·········1···11·······11···1··1··1··11··1·····1··1···1·······1····1··11··1····1111·11·1·11····1·1····11···1··11····1·11··1··1····
check 190 (264)	·1111··1··1·111····111·11·11··1··111·1111········11·1·····1··1·1···············1·11·1········1111·111··1···11111········11·1··1·1·11···1···111·11·········1111·1·····1··1·1111·1·········11···1·····1··111·1····1···1111·1·····111·1·1···1·11111·1·············1111·····1·111··1·····11······1··11·11·1·1··11···1····1·1·1······1·1··1·····1·1·111··1··1···1111··1·1·111·······1·11··1111·1··1111·1·11·······1··11······1·····11···········111··1······1·111111··1····11111········11··1·1111·····1····11·111·····1·1111····1··1··1111·1···········11·····1····1111··1··1···11·1·11········1·111·1···1··1111·11············1··111········1··1··1··1····1·11······111111111·1···11·1·······1·1··1···1··1111··1··1···
check 191 (248)	··11·1···1··1··111··11·1··11····1····1·11···1···111·11··1··1·1·······1111···1····11·1····11···11··111·1···11··1······11·1·11··1···11··11··111··1········1·11···11····1······1··1·1··11··11····1··1·······1····11··1····1··11·1·····111·1··111··1···11······1······111······11·11····1···11···1··11····1···········1····1··11··1··11··1··1·1····11·1·11·11···11·1··1··1···11··1···11··1·11···1···1···11···1··11··111··1···1····1·····1111·1··11··1···11···11·111·1···1·1··1·······111·1·1·1·11····11···111··1·····11·1··11···1·······1··11··11····1·1······1··1····1···11··1······1···11··1·····111··1··111···1···11·····1·······1·11···········1··1··1·11····11··111··1······1··1····11··1·11··11·1····11··111·11··
check 192 (336)	·11···1111········1111···111111··11·1·111·1111··1·1···1111···11111···1···1111·1·111··11··11·111··1··1··11·11··1····11111·1··11··11··1·11··1·1··11·11111··11·111·1··11····11·111····1·1·1·11·11···11·1·1···1······1··111··11111·1···111·11········1·11·1··11·1·1····11·1·11111111·111··········1·1··11··1111·111····11··1·1··1···11····1·111·····111···11·1111·1·····1111···1111·11··11111·1····1··1··········1··11111·1·1···11·1·····1····1111·11···1111··11···1·111··111·1···11·1111······111·1111··1·1···1·1111····1111·1·1···11··1····1·111·1·11·····11··1·1···11·111·1····1···1111111···1··1···1·1····111111111··1··1111····11·····1·111····1·1·1·111····111111······1···11·11···11·1······111·1···1··111111··1
check 193 (348)	1···1····11··1·11··111·1·1·1·1·11·····1·1··111·1·11111·1·1····1···111·1·11111·1···111···111······1·111·1·1111·1··1··1·1·111····11·1···111·111···111····111·11·11·11···111···1111··11·1·1·11···1111·1··1·1············11111·11····11·1··1111·1·1··111·····1·1···111··11·111·1·····1111·1··1·····1··1·111····1·1··1·1111·1·11·1··1··11··111·1···11·111·11111······1·1·1·1·1·····1·11··1·1·1111····11·1·1·1···1·111·11·111·1···111···1··1·1··1·1·1·1·1······111·1111·1·1·1·1·1··1111·11··11·111·1111111·1·········1··1·11··1·1···1····1···1·····1·1·1·111·1···11111·11111··1111·1·11·····1111···1·11··1···1·11·111·1·111··1·1·111·····11111·1111··1·1111·····1··1·11·11·1···111··1111·111·1·11111·1··1·1111·1··1·111·1
check 194 (336)	·11····1··1··111··1·11····111···1111·11111··11···11····1·1·····111··1111·11··11·11111··1111·1····1···1111·11··11··1··111·11····11·····1···1·1·11··1111·1·1···1··1··1·111··1·1······11111·11··111111··11·····11·1111···11·11·11·111·1111·1·······1··111·1·11·111··1111·1···11·11·1··11···1··11·1··11111··11111··1···11··11···11·11···1···111·1·11111······1··1·1······1111·1·111·····11···1·1·111·11···1······1111111····1···11··1·1·111····1111·1···11111··1···1··11·1·········1···11111·1111·····1··1·1······11·11··1··1·1·1·11·1··1·11·1·111·1··1111·····11·····11··1·11·1···11·111·1····1···1··1··1····11··11111·1·1····1··1·1·1111·111·1···1·11·1·11······1··1··111111·1·11······11111·1··1·111·1·111·11··11··1
check 195 (340)	·1···1·111····1·11····1··111··111·1·11·1··1··111··11·111·1··111·11·1··1··11·1·1·11····11··111·11·11·1··11111··11··111···1·11·1··1···1·11··11·11···1·1·11111··11·11··11111·11·1··111·11·11·1···1·1··111···1···1·1·1··11···1·1··11·1·1··11··111·11·11··1··1·1·11···11····111···1·11·1·1·11111·111··11··1·111·111·1·1·······111··1·1·1····1·11··1·1····111·1··11·11·111··1111111111·1···1·1·11·····11·111111·1··1·11··1··111·1··11·11·1···11···111·1·11··1·11··1111··1·····11·1·1111·1······1·1···1··11·11··11·1····111·11··11·1··1111···1·1··11··1·1·111··1··1·111·111·1·····11··1·1··1···11·11····1···1··1·········1111···111·1··11·1·11·····1·1·1·1···11···111···111·1·1·1···1111111··11······11····1····1·1·1····1
check 196 (256)	······1··1······111·1·1·111···1·111·1········1··1··1···1··1·1·11·11··1·111···1··1·····1····1·····1·······1·11··11·1·11··11·11··11··1··11····1··1·1··1··1··11·11··11··1··1··1·111········1·1····1··11·1··1·111···1··1111······1·1···1··1··1··1··11·11··1111··1··1····1·1···1··1··11··11··1·11··11··11··11··1····11···1···111···1··1·111··11·1··1···1·11·1·····11·1··1···11··1····1···1·1··1····1·1··11·11··1·111··1···1···1··1······1··1··1··1·11··1··1··11··1··11··1·········1···············1··1·1·11···1··11·11··11········1··1·1··11111····11·1···1···11·1··1··1·1··1·····1··1·11··11··1111··1··1··1···1·········1·1··1··1··11···1·1··11··1··11···1······1···········1·1111·1·11·1···1···11······1··1··1·1·11·11
check 197 (352)	·1·····111··11·····11·····1··11·1·1·1111·1·1·1···1··111··11·1·1·1111·11·11··1··1··1·1111·11·11··11·1111······11··11·1·1111·11···1··111··1·1··11·1·1·1111·····1··1··1···1·1111·1·1······1··1····11·11·11·11·1··111111····11··111·1··1·1·1·11··1··1·11·11·····1···1··1·111·111·111······1····11·1111111·1·········1···11111·1···11·11··1····1·11111··111·1·1·1···11··1·11··111111·1·1····1·11·1·11·1·1·111·111·1···111···11··111111·11···111·1·1··1··1··1·111·1·111·······11··1··111···11·1·1·11·1···1··1111·1·1·111····1·1··1···111···111111··1··1111·1·····1·111·11··1111111··1111·111111·1··1·1·1··11·111·11111··1·11····1···1····1111·1111·111····11·1··11111111····1····1··1··1111·111··11··1··1··1···111··1·111
check 198 (340)	···111·1·1·11111·111·1····11··1····1·1····11····1··1···1··111·111111·1······1·1·····1·111····111····1··1111111··111·1111···11·····111···111111····11·····1111·1·111·1·11·1·11·1·1··1·1·1··1111111·11111···11····1·111111··11···1··1·111·1·11·1111·····1····11···1111····1··11·1·11111·11·1111·111·11········1·····1··1····11····11·11·1111·11·11··111·1111···111·11·1···1·111···11·····11·1····11······11····1111111·111··11111·1·11·1···11·····1111···1·11····11··1·1···1111··11··1111·1··111·····11·111·1···11···1··11···11·11111··11111··11······1···11·1·11·····11··1·1111·1·1···11·····1111··11111··1··1·11111111··1·1···111·1······1······11·11·11·1··11·1·1·1·1···1···1·1·····11·····1·11·11·1·1·111··1···11
check 199 (360)	······1··1···1··1···111··11·11111···11··111··1··11·1·1··1···1111·111·11111····1··1··1·11·1····1·1··111111·111·1··1·1··1·11····11·1·111·······111···11111·1··111·1···11·1·1····111····1·1·11·1···11··1····111111··111·1··1·1111111·11··1·1·1··1·111··1111···1···11······11··11·········1·1········1··11·111111111·1·1111·11·1··11111·111111·1111111·1··11·1······1·1···1···1······111111·1··1·111·1111·1·1111··1111·11·11111111··1111··111·1·1···111·1····1·1·111111·1·11·1···1··1·111·····11··1·1111111111··111·11111··1·111·1111111111·111·11·····11··1····11·111·1···11···1·1111111··11·1·1·1·1111111·11·11··111··111·1··1··1········1·1·····1··1·······1··1·····1·11····1111·11·111·11····11··11·1·····1111··111
check 200 (368)	·111···1·1··11111·1·1··1········11···11·······111·1··111··11·1··1····11·1·11111·1··111111·1111·1·111··1·11··111·1·111111·1111··11111·1·1·111·1111···1111111··11·11·111·1·1·1·11·11·1·1··11··1············111··11···1·1·1·111···111·1·1···11··111··1·····11··111·1·111111111·1··11111··1··1·11·111·1·11·1111111·1·1·11·1111···111····1·1111····1·1··11111·1·111···11··111·11···1··1···1······11··1·1·······111···1·111···11····1··1··111·1··11111····1···11·1··11·1·1111···1111·1···1··1·11···11·11·1·1··11···1111··111·1··1··111111·1·11·1··1····1·1···1··········1·1111···1·1···11··11····1·111·1···1·1··11·1··1·····1111·111·1·1··111·1·11·11111·1111·11·111·111·11·1···111111·1·11111··111111·1111111·111····111

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 n691Noisy T states per run.

outputs k189

distance d3Exact, proved and witnessed here.

error coefficient A_{3}11,721Faults 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 N201

checks r12

V_{\mathrm{ex}}189T states per run. CCZ counts as two.

\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.1800Overhead per extractable T state. Lower is better.

\gamma = \log(n/k)/\log d1.1800Overhead 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 width189Rank of the output rows modulo the check rows.

Output gate

189 T0 CS0 CCZon 189 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}\cdot \mathrm{T}_{185}\cdot \mathrm{T}_{186}\cdot \mathrm{T}_{187}\cdot \mathrm{T}_{188}

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+185+186+187+188 (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 192 single-wire gates and 705 \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 873 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 897 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{S} on output 185, \mathrm{S} on output 186, \mathrm{S} on output 187, \mathrm{S} on output 188, \mathrm{Z} on check 193, \mathrm{Z} on check 195, \mathrm{Z} on check 198, \mathrm{CZ} on output 0, check 193, \mathrm{CZ} on output 0, check 194, \mathrm{CZ} on output 0, check 196, \mathrm{CZ} on output 0, check 197, \mathrm{CZ} on output 1, check 193, \mathrm{CZ} on output 1, check 194, \mathrm{CZ} on output 1, check 195, \mathrm{CZ} on output 1, check 198, \mathrm{CZ} on output 2, check 192, \mathrm{CZ} on output 2, check 193, \mathrm{CZ} on output 2, check 195, \mathrm{CZ} on output 2, check 198, \mathrm{CZ} on output 3, check 194, \mathrm{CZ} on output 3, check 195, \mathrm{CZ} on output 3, check 196, \mathrm{CZ} on output 3, check 197, \mathrm{CZ} on output 4, check 192, \mathrm{CZ} on output 4, check 193, \mathrm{CZ} on output 4, check 194, \mathrm{CZ} on output 4, check 195, \mathrm{CZ} on output 5, check 193, \mathrm{CZ} on output 5, check 195, \mathrm{CZ} on output 6, check 194, \mathrm{CZ} on output 6, check 195, \mathrm{CZ} on output 6, check 197, \mathrm{CZ} on output 6, check 198, \mathrm{CZ} on output 7, check 195, \mathrm{CZ} on output 7, check 197, \mathrm{CZ} on output 8, check 192, \mathrm{CZ} on output 8, check 194, \mathrm{CZ} on output 8, check 195, \mathrm{CZ} on output 8, check 196, \mathrm{CZ} on output 8, check 197, \mathrm{CZ} on output 8, check 198, \mathrm{CZ} on output 9, check 195, \mathrm{CZ} on output 9, check 198, \mathrm{CZ} on output 10, check 192, \mathrm{CZ} on output 10, check 195, \mathrm{CZ} on output 11, check 193, \mathrm{CZ} on output 11, check 194, \mathrm{CZ} on output 11, check 195, \mathrm{CZ} on output 11, check 196, \mathrm{CZ} on output 11, check 197, \mathrm{CZ} on output 11, check 198, \mathrm{CZ} on output 12, check 192, \mathrm{CZ} on output 12, check 193, \mathrm{CZ} on output 12, check 194, \mathrm{CZ} on output 12, check 196, \mathrm{CZ} on output 12, check 197, \mathrm{CZ} on output 12, check 198, \mathrm{CZ} on output 13, check 193, \mathrm{CZ} on output 13, check 195, \mathrm{CZ} on output 15, check 192, \mathrm{CZ} on output 15, check 193, \mathrm{CZ} on output 15, check 194, \mathrm{CZ} on output 15, check 195, \mathrm{CZ} on output 16, check 192, \mathrm{CZ} on output 16, check 193, \mathrm{CZ} on output 16, check 195, \mathrm{CZ} on output 16, check 197, \mathrm{CZ} on output 17, check 192, \mathrm{CZ} on output 17, check 194, \mathrm{CZ} on output 17, check 196, \mathrm{CZ} on output 17, check 197, \mathrm{CZ} on output 18, check 193, \mathrm{CZ} on output 18, check 197, \mathrm{CZ} on output 19, check 193, \mathrm{CZ} on output 19, check 195, \mathrm{CZ} on output 20, check 194, \mathrm{CZ} on output 20, check 195, \mathrm{CZ} on output 20, check 196, \mathrm{CZ} on output 20, check 198, \mathrm{CZ} on output 21, check 192, \mathrm{CZ} on output 21, check 194, \mathrm{CZ} on output 21, check 197, \mathrm{CZ} on output 21, check 198, \mathrm{CZ} on output 22, check 194, \mathrm{CZ} on output 22, check 195, \mathrm{CZ} on output 22, check 196, \mathrm{CZ} on output 22, check 197, \mathrm{CZ} on output 23, check 192, \mathrm{CZ} on output 23, check 193, \mathrm{CZ} on output 23, check 194, \mathrm{CZ} on output 23, check 197, \mathrm{CZ} on output 24, check 195, \mathrm{CZ} on output 24, check 196, \mathrm{CZ} on output 24, check 197, \mathrm{CZ} on output 24, check 198, \mathrm{CZ} on output 25, check 192, \mathrm{CZ} on output 25, check 193, \mathrm{CZ} on output 25, check 194, \mathrm{CZ} on output 25, check 195, \mathrm{CZ} on output 26, check 192, \mathrm{CZ} on output 26, check 195, \mathrm{CZ} on output 26, check 196, \mathrm{CZ} on output 26, check 198, \mathrm{CZ} on output 27, check 192, \mathrm{CZ} on output 27, check 195, \mathrm{CZ} on output 27, check 196, \mathrm{CZ} on output 27, check 198, \mathrm{CZ} on output 28, check 193, \mathrm{CZ} on output 28, check 194, \mathrm{CZ} on output 29, check 194, \mathrm{CZ} on output 29, check 196, \mathrm{CZ} on output 29, check 197, \mathrm{CZ} on output 29, check 198, \mathrm{CZ} on output 30, check 193, \mathrm{CZ} on output 30, check 194, \mathrm{CZ} on output 30, check 195, \mathrm{CZ} on output 30, check 196, \mathrm{CZ} on output 30, check 197, \mathrm{CZ} on output 30, check 198, \mathrm{CZ} on output 31, check 192, \mathrm{CZ} on output 31, check 195, \mathrm{CZ} on output 31, check 197, \mathrm{CZ} on output 31, check 198, \mathrm{CZ} on output 32, check 194, \mathrm{CZ} on output 32, check 195, \mathrm{CZ} on output 32, check 196, \mathrm{CZ} on output 32, check 197, \mathrm{CZ} on output 33, check 193, \mathrm{CZ} on output 33, check 195, \mathrm{CZ} on output 33, check 196, \mathrm{CZ} on output 33, check 198, \mathrm{CZ} on output 34, check 192, \mathrm{CZ} on output 34, check 193, \mathrm{CZ} on output 34, check 194, \mathrm{CZ} on output 34, check 195, \mathrm{CZ} on output 34, check 196, \mathrm{CZ} on output 34, check 198, \mathrm{CZ} on output 35, check 192, \mathrm{CZ} on output 35, check 195, \mathrm{CZ} on output 35, check 196, \mathrm{CZ} on output 35, check 198, \mathrm{CZ} on output 36, check 193, \mathrm{CZ} on output 36, check 194, \mathrm{CZ} on output 36, check 196, \mathrm{CZ} on output 36, check 197, \mathrm{CZ} on output 37, check 194, \mathrm{CZ} on output 37, check 198, \mathrm{CZ} on output 38, check 192, \mathrm{CZ} on output 38, check 197, \mathrm{CZ} on output 39, check 192, \mathrm{CZ} on output 39, check 194, \mathrm{CZ} on output 39, check 196, \mathrm{CZ} on output 39, check 197, \mathrm{CZ} on output 40, check 192, \mathrm{CZ} on output 40, check 194, \mathrm{CZ} on output 40, check 195, \mathrm{CZ} on output 40, check 196, \mathrm{CZ} on output 40, check 197, \mathrm{CZ} on output 40, check 198, \mathrm{CZ} on output 41, check 192, \mathrm{CZ} on output 41, check 195, \mathrm{CZ} on output 42, check 192, \mathrm{CZ} on output 42, check 193, \mathrm{CZ} on output 43, check 193, \mathrm{CZ} on output 43, check 195, \mathrm{CZ} on output 43, check 196, \mathrm{CZ} on output 43, check 197, \mathrm{CZ} on output 44, check 192, \mathrm{CZ} on output 44, check 193, \mathrm{CZ} on output 44, check 194, \mathrm{CZ} on output 44, check 195, \mathrm{CZ} on output 44, check 196, \mathrm{CZ} on output 44, check 198, \mathrm{CZ} on output 45, check 194, \mathrm{CZ} on output 45, check 195, \mathrm{CZ} on output 45, check 196, \mathrm{CZ} on output 45, check 197, \mathrm{CZ} on output 46, check 192, \mathrm{CZ} on output 46, check 194, \mathrm{CZ} on output 46, check 196, \mathrm{CZ} on output 46, check 198, \mathrm{CZ} on output 47, check 192, \mathrm{CZ} on output 47, check 193, \mathrm{CZ} on output 47, check 194, \mathrm{CZ} on output 47, check 195, \mathrm{CZ} on output 47, check 197, \mathrm{CZ} on output 47, check 198, \mathrm{CZ} on output 48, check 192, \mathrm{CZ} on output 48, check 194, \mathrm{CZ} on output 48, check 196, \mathrm{CZ} on output 48, check 197, \mathrm{CZ} on output 49, check 193, \mathrm{CZ} on output 49, check 194, \mathrm{CZ} on output 49, check 196, \mathrm{CZ} on output 49, check 197, \mathrm{CZ} on output 50, check 194, \mathrm{CZ} on output 50, check 195, \mathrm{CZ} on output 50, check 197, \mathrm{CZ} on output 50, check 198, \mathrm{CZ} on output 51, check 195, \mathrm{CZ} on output 51, check 196, \mathrm{CZ} on output 51, check 197, \mathrm{CZ} on output 51, check 198, \mathrm{CZ} on output 52, check 192, \mathrm{CZ} on output 52, check 193, \mathrm{CZ} on output 52, check 194, \mathrm{CZ} on output 52, check 197, \mathrm{CZ} on output 53, check 192, \mathrm{CZ} on output 53, check 193, \mathrm{CZ} on output 53, check 194, \mathrm{CZ} on output 53, check 195, \mathrm{CZ} on output 53, check 196, \mathrm{CZ} on output 53, check 198, \mathrm{CZ} on output 54, check 192, \mathrm{CZ} on output 54, check 193, \mathrm{CZ} on output 54, check 195, \mathrm{CZ} on output 54, check 198, \mathrm{CZ} on output 55, check 194, \mathrm{CZ} on output 55, check 196, \mathrm{CZ} on output 55, check 197, \mathrm{CZ} on output 55, check 198, \mathrm{CZ} on output 56, check 195, \mathrm{CZ} on output 56, check 197, \mathrm{CZ} on output 57, check 193, \mathrm{CZ} on output 57, check 194, \mathrm{CZ} on output 58, check 192, \mathrm{CZ} on output 58, check 193, \mathrm{CZ} on output 58, check 196, \mathrm{CZ} on output 58, check 197, \mathrm{CZ} on output 59, check 196, \mathrm{CZ} on output 59, check 198, \mathrm{CZ} on output 60, check 192, \mathrm{CZ} on output 60, check 195, \mathrm{CZ} on output 61, check 193, \mathrm{CZ} on output 61, check 194, \mathrm{CZ} on output 61, check 195, \mathrm{CZ} on output 61, check 196, \mathrm{CZ} on output 61, check 197, \mathrm{CZ} on output 61, check 198, \mathrm{CZ} on output 62, check 192, \mathrm{CZ} on output 62, check 193, \mathrm{CZ} on output 62, check 196, \mathrm{CZ} on output 62, check 197, \mathrm{CZ} on output 63, check 192, \mathrm{CZ} on output 63, check 193, \mathrm{CZ} on output 63, check 194, \mathrm{CZ} on output 63, check 195, \mathrm{CZ} on output 63, check 196, \mathrm{CZ} on output 63, check 198, \mathrm{CZ} on output 64, check 193, \mathrm{CZ} on output 64, check 194, \mathrm{CZ} on output 64, check 196, \mathrm{CZ} on output 64, check 197, \mathrm{CZ} on output 65, check 193, \mathrm{CZ} on output 65, check 195, \mathrm{CZ} on output 66, check 193, \mathrm{CZ} on output 66, check 196, \mathrm{CZ} on output 66, check 197, \mathrm{CZ} on output 66, check 198, \mathrm{CZ} on output 67, check 194, \mathrm{CZ} on output 67, check 195, \mathrm{CZ} on output 67, check 197, \mathrm{CZ} on output 67, check 198, \mathrm{CZ} on output 68, check 192, \mathrm{CZ} on output 68, check 193, \mathrm{CZ} on output 68, check 194, \mathrm{CZ} on output 68, check 195, \mathrm{CZ} on output 68, check 196, \mathrm{CZ} on output 68, check 198, \mathrm{CZ} on output 69, check 192, \mathrm{CZ} on output 69, check 193, \mathrm{CZ} on output 69, check 196, \mathrm{CZ} on output 69, check 197, \mathrm{CZ} on output 70, check 192, \mathrm{CZ} on output 70, check 193, \mathrm{CZ} on output 70, check 196, \mathrm{CZ} on output 70, check 197, \mathrm{CZ} on output 71, check 192, \mathrm{CZ} on output 71, check 194, \mathrm{CZ} on output 72, check 195, \mathrm{CZ} on output 72, check 196, \mathrm{CZ} on output 72, check 197, \mathrm{CZ} on output 72, check 198, \mathrm{CZ} on output 73, check 196, \mathrm{CZ} on output 73, check 197, \mathrm{CZ} on output 75, check 192, \mathrm{CZ} on output 75, check 194, \mathrm{CZ} on output 75, check 196, \mathrm{CZ} on output 75, check 198, \mathrm{CZ} on output 76, check 193, \mathrm{CZ} on output 76, check 194, \mathrm{CZ} on output 77, check 193, \mathrm{CZ} on output 77, check 195, \mathrm{CZ} on output 78, check 195, \mathrm{CZ} on output 78, check 196, \mathrm{CZ} on output 78, check 197, \mathrm{CZ} on output 78, check 198, \mathrm{CZ} on output 79, check 193, \mathrm{CZ} on output 79, check 196, \mathrm{CZ} on output 79, check 197, \mathrm{CZ} on output 79, check 198, \mathrm{CZ} on output 80, check 193, \mathrm{CZ} on output 80, check 195, \mathrm{CZ} on output 81, check 192, \mathrm{CZ} on output 81, check 193, \mathrm{CZ} on output 81, check 195, \mathrm{CZ} on output 81, check 197, \mathrm{CZ} on output 83, check 195, \mathrm{CZ} on output 83, check 196, \mathrm{CZ} on output 83, check 197, \mathrm{CZ} on output 83, check 198, \mathrm{CZ} on output 84, check 193, \mathrm{CZ} on output 84, check 194, \mathrm{CZ} on output 84, check 195, \mathrm{CZ} on output 84, check 196, \mathrm{CZ} on output 84, check 197, \mathrm{CZ} on output 84, check 198, \mathrm{CZ} on output 86, check 193, \mathrm{CZ} on output 86, check 194, \mathrm{CZ} on output 86, check 195, \mathrm{CZ} on output 86, check 196, \mathrm{CZ} on output 86, check 197, \mathrm{CZ} on output 86, check 198, \mathrm{CZ} on output 87, check 192, \mathrm{CZ} on output 87, check 193, \mathrm{CZ} on output 88, check 195, \mathrm{CZ} on output 88, check 196, \mathrm{CZ} on output 88, check 197, \mathrm{CZ} on output 88, check 198, \mathrm{CZ} on output 89, check 192, \mathrm{CZ} on output 89, check 193, \mathrm{CZ} on output 89, check 194, \mathrm{CZ} on output 89, check 197, \mathrm{CZ} on output 90, check 193, \mathrm{CZ} on output 90, check 194, \mathrm{CZ} on output 90, check 195, \mathrm{CZ} on output 90, check 196, \mathrm{CZ} on output 90, check 197, \mathrm{CZ} on output 90, check 198, \mathrm{CZ} on output 91, check 192, \mathrm{CZ} on output 91, check 194, \mathrm{CZ} on output 91, check 196, \mathrm{CZ} on output 91, check 198, \mathrm{CZ} on output 92, check 196, \mathrm{CZ} on output 92, check 197, \mathrm{CZ} on output 93, check 192, \mathrm{CZ} on output 93, check 193, \mathrm{CZ} on output 93, check 194, \mathrm{CZ} on output 93, check 196, \mathrm{CZ} on output 93, check 197, \mathrm{CZ} on output 93, check 198, \mathrm{CZ} on output 94, check 192, \mathrm{CZ} on output 94, check 194, \mathrm{CZ} on output 94, check 195, \mathrm{CZ} on output 94, check 196, \mathrm{CZ} on output 94, check 197, \mathrm{CZ} on output 94, check 198, \mathrm{CZ} on output 95, check 193, \mathrm{CZ} on output 95, check 195, \mathrm{CZ} on output 96, check 193, \mathrm{CZ} on output 96, check 194, \mathrm{CZ} on output 96, check 196, \mathrm{CZ} on output 96, check 197, \mathrm{CZ} on output 97, check 192, \mathrm{CZ} on output 97, check 194, \mathrm{CZ} on output 97, check 195, \mathrm{CZ} on output 97, check 196, \mathrm{CZ} on output 97, check 197, \mathrm{CZ} on output 97, check 198, \mathrm{CZ} on output 98, check 193, \mathrm{CZ} on output 98, check 195, \mathrm{CZ} on output 101, check 192, \mathrm{CZ} on output 101, check 194, \mathrm{CZ} on output 102, check 192, \mathrm{CZ} on output 102, check 193, \mathrm{CZ} on output 102, check 194, \mathrm{CZ} on output 102, check 196, \mathrm{CZ} on output 102, check 197, \mathrm{CZ} on output 102, check 198, \mathrm{CZ} on output 103, check 193, \mathrm{CZ} on output 103, check 194, \mathrm{CZ} on output 103, check 195, \mathrm{CZ} on output 103, check 196, \mathrm{CZ} on output 103, check 197, \mathrm{CZ} on output 103, check 198, \mathrm{CZ} on output 104, check 192, \mathrm{CZ} on output 104, check 193, \mathrm{CZ} on output 104, check 194, \mathrm{CZ} on output 104, check 197, \mathrm{CZ} on output 105, check 193, \mathrm{CZ} on output 105, check 198, \mathrm{CZ} on output 106, check 192, \mathrm{CZ} on output 106, check 193, \mathrm{CZ} on output 106, check 194, \mathrm{CZ} on output 106, check 195, \mathrm{CZ} on output 106, check 196, \mathrm{CZ} on output 106, check 198, \mathrm{CZ} on output 107, check 192, \mathrm{CZ} on output 107, check 193, \mathrm{CZ} on output 108, check 192, \mathrm{CZ} on output 108, check 193, \mathrm{CZ} on output 108, check 194, \mathrm{CZ} on output 108, check 196, \mathrm{CZ} on output 108, check 197, \mathrm{CZ} on output 108, check 198, \mathrm{CZ} on output 109, check 194, \mathrm{CZ} on output 109, check 198, \mathrm{CZ} on output 110, check 193, \mathrm{CZ} on output 110, check 194, \mathrm{CZ} on output 110, check 195, \mathrm{CZ} on output 110, check 198, \mathrm{CZ} on output 111, check 195, \mathrm{CZ} on output 111, check 196, \mathrm{CZ} on output 111, check 197, \mathrm{CZ} on output 111, check 198, \mathrm{CZ} on output 112, check 193, \mathrm{CZ} on output 112, check 196, \mathrm{CZ} on output 112, check 197, \mathrm{CZ} on output 112, check 198, \mathrm{CZ} on output 113, check 193, \mathrm{CZ} on output 113, check 195, \mathrm{CZ} on output 114, check 193, \mathrm{CZ} on output 114, check 194, \mathrm{CZ} on output 114, check 195, \mathrm{CZ} on output 114, check 196, \mathrm{CZ} on output 114, check 197, \mathrm{CZ} on output 114, check 198, \mathrm{CZ} on output 115, check 194, \mathrm{CZ} on output 115, check 195, \mathrm{CZ} on output 115, check 196, \mathrm{CZ} on output 115, check 197, \mathrm{CZ} on output 116, check 192, \mathrm{CZ} on output 116, check 194, \mathrm{CZ} on output 117, check 192, \mathrm{CZ} on output 117, check 195, \mathrm{CZ} on output 120, check 192, \mathrm{CZ} on output 120, check 193, \mathrm{CZ} on output 120, check 194, \mathrm{CZ} on output 120, check 195, \mathrm{CZ} on output 120, check 196, \mathrm{CZ} on output 120, check 198, \mathrm{CZ} on output 121, check 193, \mathrm{CZ} on output 121, check 194, \mathrm{CZ} on output 121, check 195, \mathrm{CZ} on output 121, check 198, \mathrm{CZ} on output 122, check 192, \mathrm{CZ} on output 122, check 194, \mathrm{CZ} on output 122, check 195, \mathrm{CZ} on output 122, check 196, \mathrm{CZ} on output 122, check 197, \mathrm{CZ} on output 122, check 198, \mathrm{CZ} on output 123, check 195, \mathrm{CZ} on output 123, check 198, \mathrm{CZ} on output 124, check 193, \mathrm{CZ} on output 124, check 194, \mathrm{CZ} on output 125, check 195, \mathrm{CZ} on output 125, check 196, \mathrm{CZ} on output 125, check 197, \mathrm{CZ} on output 125, check 198, \mathrm{CZ} on output 126, check 192, \mathrm{CZ} on output 126, check 194, \mathrm{CZ} on output 126, check 195, \mathrm{CZ} on output 126, check 196, \mathrm{CZ} on output 126, check 197, \mathrm{CZ} on output 126, check 198, \mathrm{CZ} on output 127, check 193, \mathrm{CZ} on output 127, check 194, \mathrm{CZ} on output 127, check 195, \mathrm{CZ} on output 127, check 196, \mathrm{CZ} on output 127, check 197, \mathrm{CZ} on output 127, check 198, \mathrm{CZ} on output 129, check 196, \mathrm{CZ} on output 129, check 198, \mathrm{CZ} on output 130, check 193, \mathrm{CZ} on output 130, check 197, \mathrm{CZ} on output 131, check 193, \mathrm{CZ} on output 131, check 196, \mathrm{CZ} on output 131, check 197, \mathrm{CZ} on output 131, check 198, \mathrm{CZ} on output 132, check 194, \mathrm{CZ} on output 132, check 195, \mathrm{CZ} on output 133, check 195, \mathrm{CZ} on output 133, check 196, \mathrm{CZ} on output 133, check 197, \mathrm{CZ} on output 133, check 198, \mathrm{CZ} on output 134, check 195, \mathrm{CZ} on output 134, check 196, \mathrm{CZ} on output 134, check 197, \mathrm{CZ} on output 134, check 198, \mathrm{CZ} on output 135, check 194, \mathrm{CZ} on output 135, check 195, \mathrm{CZ} on output 135, check 196, \mathrm{CZ} on output 135, check 197, \mathrm{CZ} on output 136, check 193, \mathrm{CZ} on output 136, check 198, \mathrm{CZ} on output 137, check 193, \mathrm{CZ} on output 137, check 194, \mathrm{CZ} on output 137, check 195, \mathrm{CZ} on output 137, check 196, \mathrm{CZ} on output 137, check 197, \mathrm{CZ} on output 137, check 198, \mathrm{CZ} on output 138, check 192, \mathrm{CZ} on output 138, check 194, \mathrm{CZ} on output 138, check 195, \mathrm{CZ} on output 138, check 196, \mathrm{CZ} on output 138, check 197, \mathrm{CZ} on output 138, check 198, \mathrm{CZ} on output 139, check 195, \mathrm{CZ} on output 139, check 196, \mathrm{CZ} on output 139, check 197, \mathrm{CZ} on output 139, check 198, \mathrm{CZ} on output 140, check 192, \mathrm{CZ} on output 140, check 197, \mathrm{CZ} on output 141, check 192, \mathrm{CZ} on output 141, check 193, \mathrm{CZ} on output 141, check 194, \mathrm{CZ} on output 141, check 195, \mathrm{CZ} on output 141, check 196, \mathrm{CZ} on output 141, check 198, \mathrm{CZ} on output 142, check 193, \mathrm{CZ} on output 142, check 194, \mathrm{CZ} on output 142, check 195, \mathrm{CZ} on output 142, check 196, \mathrm{CZ} on output 142, check 197, \mathrm{CZ} on output 142, check 198, \mathrm{CZ} on output 143, check 193, \mathrm{CZ} on output 143, check 196, \mathrm{CZ} on output 143, check 197, \mathrm{CZ} on output 143, check 198, \mathrm{CZ} on output 144, check 193, \mathrm{CZ} on output 144, check 194, \mathrm{CZ} on output 144, check 195, \mathrm{CZ} on output 144, check 198, \mathrm{CZ} on output 145, check 193, \mathrm{CZ} on output 145, check 194, \mathrm{CZ} on output 146, check 192, \mathrm{CZ} on output 146, check 193, \mathrm{CZ} on output 146, check 194, \mathrm{CZ} on output 146, check 197, \mathrm{CZ} on output 147, check 194, \mathrm{CZ} on output 147, check 195, \mathrm{CZ} on output 147, check 196, \mathrm{CZ} on output 147, check 198, \mathrm{CZ} on output 148, check 193, \mathrm{CZ} on output 148, check 194, \mathrm{CZ} on output 148, check 196, \mathrm{CZ} on output 148, check 197, \mathrm{CZ} on output 149, check 192, \mathrm{CZ} on output 149, check 193, \mathrm{CZ} on output 149, check 194, \mathrm{CZ} on output 149, check 195, \mathrm{CZ} on output 149, check 196, \mathrm{CZ} on output 149, check 198, \mathrm{CZ} on output 150, check 192, \mathrm{CZ} on output 150, check 193, \mathrm{CZ} on output 150, check 194, \mathrm{CZ} on output 150, check 195, \mathrm{CZ} on output 150, check 196, \mathrm{CZ} on output 150, check 198, \mathrm{CZ} on output 151, check 192, \mathrm{CZ} on output 151, check 193, \mathrm{CZ} on output 151, check 194, \mathrm{CZ} on output 151, check 195, \mathrm{CZ} on output 152, check 193, \mathrm{CZ} on output 152, check 195, \mathrm{CZ} on output 153, check 194, \mathrm{CZ} on output 153, check 198, \mathrm{CZ} on output 154, check 192, \mathrm{CZ} on output 154, check 193, \mathrm{CZ} on output 154, check 194, \mathrm{CZ} on output 154, check 197, \mathrm{CZ} on output 155, check 196, \mathrm{CZ} on output 155, check 197, \mathrm{CZ} on output 156, check 192, \mathrm{CZ} on output 156, check 193, \mathrm{CZ} on output 156, check 194, \mathrm{CZ} on output 156, check 197, \mathrm{CZ} on output 157, check 192, \mathrm{CZ} on output 157, check 193, \mathrm{CZ} on output 157, check 194, \mathrm{CZ} on output 157, check 195, \mathrm{CZ} on output 157, check 197, \mathrm{CZ} on output 157, check 198, \mathrm{CZ} on output 158, check 192, \mathrm{CZ} on output 158, check 193, \mathrm{CZ} on output 159, check 195, \mathrm{CZ} on output 159, check 196, \mathrm{CZ} on output 159, check 197, \mathrm{CZ} on output 159, check 198, \mathrm{CZ} on output 161, check 192, \mathrm{CZ} on output 161, check 196, \mathrm{CZ} on output 162, check 192, \mathrm{CZ} on output 162, check 195, \mathrm{CZ} on output 162, check 196, \mathrm{CZ} on output 162, check 198, \mathrm{CZ} on output 163, check 192, \mathrm{CZ} on output 163, check 193, \mathrm{CZ} on output 163, check 194, \mathrm{CZ} on output 163, check 195, \mathrm{CZ} on output 163, check 196, \mathrm{CZ} on output 163, check 198, \mathrm{CZ} on output 164, check 193, \mathrm{CZ} on output 164, check 194, \mathrm{CZ} on output 164, check 196, \mathrm{CZ} on output 164, check 197, \mathrm{CZ} on output 165, check 194, \mathrm{CZ} on output 165, check 195, \mathrm{CZ} on output 166, check 193, \mathrm{CZ} on output 166, check 194, \mathrm{CZ} on output 166, check 195, \mathrm{CZ} on output 166, check 196, \mathrm{CZ} on output 166, check 197, \mathrm{CZ} on output 166, check 198, \mathrm{CZ} on output 167, check 195, \mathrm{CZ} on output 167, check 196, \mathrm{CZ} on output 167, check 197, \mathrm{CZ} on output 167, check 198, \mathrm{CZ} on output 168, check 192, \mathrm{CZ} on output 168, check 194, \mathrm{CZ} on output 169, check 192, \mathrm{CZ} on output 169, check 195, \mathrm{CZ} on output 169, check 197, \mathrm{CZ} on output 169, check 198, \mathrm{CZ} on output 170, check 193, \mathrm{CZ} on output 170, check 195, \mathrm{CZ} on output 171, check 192, \mathrm{CZ} on output 171, check 194, \mathrm{CZ} on output 171, check 195, \mathrm{CZ} on output 171, check 196, \mathrm{CZ} on output 171, check 197, \mathrm{CZ} on output 171, check 198, \mathrm{CZ} on output 172, check 192, \mathrm{CZ} on output 172, check 194, \mathrm{CZ} on output 172, check 196, \mathrm{CZ} on output 172, check 198, \mathrm{CZ} on output 173, check 192, \mathrm{CZ} on output 173, check 193, \mathrm{CZ} on output 173, check 194, \mathrm{CZ} on output 173, check 195, \mathrm{CZ} on output 173, check 196, \mathrm{CZ} on output 173, check 198, \mathrm{CZ} on output 174, check 192, \mathrm{CZ} on output 174, check 193, \mathrm{CZ} on output 174, check 195, \mathrm{CZ} on output 174, check 196, \mathrm{CZ} on output 175, check 193, \mathrm{CZ} on output 175, check 194, \mathrm{CZ} on output 175, check 195, \mathrm{CZ} on output 175, check 198, \mathrm{CZ} on output 176, check 192, \mathrm{CZ} on output 176, check 193, \mathrm{CZ} on output 179, check 195, \mathrm{CZ} on output 179, check 196, \mathrm{CZ} on output 179, check 197, \mathrm{CZ} on output 179, check 198, \mathrm{CZ} on output 180, check 192, \mathrm{CZ} on output 180, check 193, \mathrm{CZ} on output 180, check 194, \mathrm{CZ} on output 180, check 197, \mathrm{CZ} on output 181, check 192, \mathrm{CZ} on output 181, check 194, \mathrm{CZ} on output 181, check 195, \mathrm{CZ} on output 181, check 196, \mathrm{CZ} on output 181, check 197, \mathrm{CZ} on output 181, check 198, \mathrm{CZ} on output 182, check 193, \mathrm{CZ} on output 182, check 194, \mathrm{CZ} on output 183, check 192, \mathrm{CZ} on output 183, check 194, \mathrm{CZ} on output 183, check 195, \mathrm{CZ} on output 183, check 196, \mathrm{CZ} on output 183, check 197, \mathrm{CZ} on output 183, check 198, \mathrm{CZ} on output 184, check 193, \mathrm{CZ} on output 184, check 195, \mathrm{CZ} on output 184, check 196, \mathrm{CZ} on output 184, check 198, \mathrm{CZ} on output 185, check 193, \mathrm{CZ} on output 185, check 194, \mathrm{CZ} on output 185, check 195, \mathrm{CZ} on output 185, check 196, \mathrm{CZ} on output 185, check 197, \mathrm{CZ} on output 185, check 198, \mathrm{CZ} on output 186, check 192, \mathrm{CZ} on output 186, check 194, \mathrm{CZ} on output 186, check 195, \mathrm{CZ} on output 186, check 196, \mathrm{CZ} on output 186, check 197, \mathrm{CZ} on output 186, check 198, \mathrm{CZ} on output 188, check 195, \mathrm{CZ} on output 188, check 196, \mathrm{CZ} on output 188, check 197, \mathrm{CZ} on output 188, check 198, \mathrm{CZ} on check 189, check 192, \mathrm{CZ} on check 189, check 195, \mathrm{CZ} on check 189, check 196, \mathrm{CZ} on check 189, check 197, \mathrm{CZ} on check 190, check 192, \mathrm{CZ} on check 190, check 193, \mathrm{CZ} on check 191, check 193, \mathrm{CZ} on check 191, check 195, \mathrm{CZ} on check 191, check 196, \mathrm{CZ} on check 191, check 197, \mathrm{CZ} on check 193, check 195, \mathrm{CZ} on check 193, check 196, \mathrm{CZ} on check 193, check 199, \mathrm{CZ} on check 193, check 200, \mathrm{CZ} on check 194, check 195, \mathrm{CZ} on check 194, check 200, \mathrm{CZ} on check 195, check 199, \mathrm{CZ} on check 195, check 200, \mathrm{CZ} on check 196, check 200

Or no Clifford gate at all: run \mathrm{T}^3 on rotations 0, 1, 9, 14, 15, 18, 26, 32, 33, 36, 37, 40, 41, 44, 50, 58, 60, 62, 65, 70, 74, 77, 81, 83 and 273 more (listed below); \mathrm{T}^5 on rotations 2, 3, 6, 7, 8, 17, 20, 21, 25, 28, 30, 34, 38, 42, 43, 46, 51, 55, 59, 63, 68, 73, 91, 92 and 27 more (listed below); \mathrm{T}^\dagger on rotations 4, 5, 11, 13, 24, 27, 39, 45, 48, 52, 54, 61, 66, 67, 69, 71, 72, 75, 76, 80, 82, 87, 93, 100 and 26 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 297 rotations at T³

0, 1, 9, 14, 15, 18, 26, 32, 33, 36, 37, 40, 41, 44, 50, 58, 60, 62, 65, 70, 74, 77, 81, 83, 84, 88, 89, 95, 96, 106, 110, 112, 114, 115, 120, 123, 128, 136, 142, 145, 146, 148, 150, 151, 155, 168, 170, 171, 176, 178, 179, 188, 189, 193, 199, 202, 206, 207, 212, 215, 216, 218, 219, 220, 221, 222, 224, 225, 227, 228, 233, 235, 236, 239, 240, 243, 244, 246, 247, 248, 249, 251, 253, 254, 258, 259, 260, 264, 270, 271, 272, 273, 274, 275, 279, 285, 288, 292, 296, 299, 306, 308, 309, 310, 312, 313, 316, 317, 319, 320, 321, 322, 323, 333, 334, 337, 339, 342, 345, 352, 353, 355, 356, 358, 359, 360, 362, 365, 367, 369, 370, 373, 377, 378, 382, 384, 385, 387, 388, 389, 390, 393, 397, 402, 404, 405, 407, 409, 411, 412, 413, 414, 416, 418, 420, 421, 422, 423, 425, 428, 429, 430, 431, 432, 433, 437, 438, 441, 444, 445, 446, 448, 451, 452, 453, 454, 457, 459, 468, 473, 475, 476, 477, 481, 482, 484, 486, 489, 490, 492, 493, 494, 495, 496, 498, 501, 503, 504, 505, 507, 508, 509, 511, 512, 513, 514, 515, 517, 518, 521, 522, 525, 526, 527, 529, 531, 534, 535, 536, 537, 540, 543, 545, 546, 549, 552, 553, 554, 555, 557, 558, 560, 561, 563, 564, 565, 566, 567, 568, 569, 570, 571, 577, 580, 583, 584, 585, 588, 589, 591, 593, 594, 596, 597, 598, 600, 601, 604, 605, 608, 609, 615, 620, 624, 625, 627, 629, 630, 631, 637, 638, 640, 643, 644, 646, 649, 650, 651, 654, 655, 657, 658, 659, 660, 663, 664, 671, 672, 674, 675, 677, 678, 681, 682, 686, 689, 690

All 51 rotations at T⁵

2, 3, 6, 7, 8, 17, 20, 21, 25, 28, 30, 34, 38, 42, 43, 46, 51, 55, 59, 63, 68, 73, 91, 92, 94, 101, 103, 104, 109, 111, 119, 121, 126, 129, 130, 131, 132, 134, 135, 139, 153, 154, 156, 160, 161, 165, 172, 180, 184, 349, 351

All 50 rotations at T†

4, 5, 11, 13, 24, 27, 39, 45, 48, 52, 54, 61, 66, 67, 69, 71, 72, 75, 76, 80, 82, 87, 93, 100, 102, 105, 107, 113, 117, 118, 122, 125, 133, 141, 144, 147, 149, 157, 162, 167, 169, 173, 174, 182, 183, 186, 187, 346, 347, 350

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/691.189.3.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-691.189.3.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 11,721 faults of weight 3 are undetectable and damaging, so A_{3}=11{,}721. 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 [0,1,217].

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_691_189_3.json",
  "label": "restricted_light_691_189_3",
  "N": 201,
  "d": 3,
  "d_is_exact": true,
  "origin": "Wills-derived four-block Schur-orthogonal restricted-light parent (|S|=220), with searched graph punctures",
  "provenance": "gamma frontier release record restricted_light_691_189_3 (source catalogue id restricted_light_691_189_3); construction: Wills-derived four-block Schur-orthogonal restricted-light parent (|S|=220), with searched graph punctures; matrix 970e6a2277b43d4b...; the release states d=3 (exact), gamma=1.1800275876029884 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/970e6a2277b43d4b81c75be538ef6c60d0da7f8886bcb148b68d1d27ad07f2a9.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/691.189.3.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[1178].