[[429, 81, 4]] magic-state factory, T0·T1·T2·T3·T4·T5·T6·T7·T8·T9·T10·T11...

The circuit

The 101\times429 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 \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| '
out 0 (63)	··········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···1········1·········1·····1·····1····1·········1·······1
out 1 (173)	····1···1········1·1·1····1·111111··111···1····1···1········1·1···1·1·1··1111···1·1··11····111····11·1·1··11····1·111·11·····1···11·11··1111······1·1·1···1·1·11·11·1···1··11·1·11··1···1111··1·11·1·1··11···11···11·······1···1·····11·1·1·1111·1··111·1········1··1········11··11·1····1111···1··1···1··111·····11···11··11···1·111·11···1··11·11····1111····1·1·1·1·1··1·1111·1····1···11·1·1·1···1·······111·1···1·1111····11···1·1··11··
out 2 (151)	··1··1··111·1····1·1··········1··111·11·······11·1·1······11··1··1··········1····1·····11···11···1·1···1··1···1····1·····11····1·1··11·111···111·111111···1··11··1··11···11·111·1·····1···1····11··1··1·1·1···1····111·1····1··111·1·11·······1··111·11······1···11·1·······1·1·1···········1·····1·····11·11····1·1····1··1···1···1····11···11··11···111··111111111···1···11·1··11····11··111·1··········1····1······11·1·1···1·1····1···111
out 3 (125)	1····1·11·11·····1·111·····1·1·111··11····1········11···1···1··········1··1···········1·1··1··1·····11··1·1·1·1·····111·1·····11·11·1···1·1··1···········1···11··1·11······1····1·····1··1··1·1··1·1·····1··1·1·1·····1·····1·11·11··1111··1·1·1·1··11··1···········1··1··1··1·······1····1··············11··1·······1·1·1·1··11····111·····1111·1·····1·1·1··········1····11·1·11········1····1··········1···1····1·1··11······1··1··1·1····
out 4 (141)	1···11111·1·1········1·······1·1111·1·····1···1····1········1·11·1····1·····1······1··1·1··1·11·····1·····1·1·······111··11···11···111··1·11·111·····1···1····11·1········1·11··1·111·1·······11···1·····11·1·11···1··1····11111·1·1····1····1·1·11·1···1····1······1········1111···1·······1·······1····11·11·······1·····1··1·····111·11··11··111····1·11111····1···1·····111·········1··11··1···111····1·······1··11··1······11·1··11··1··
out 5 (173)	1····111···11······1·1·1····1·11111·1··············11·····1·1·111···1·1··1·11··1·1···1111··1·111··1··1······1···111·11···11···11·11·1···1111···1·········11·1111·1···1··1·1·111··11111··1·1········1·111··1··111····111·····111···11··1·11··1·11·11·1···············1··1····1111··1·1····1·11··1··1····1111·111···1····1······1·111·11··11··1111·1·····1111··1········11··11111···1···1·1··111···1·111···1···1·1·········1111····1··1·11···11
out 6 (159)	········11·······1···1·1··1···1·11·1·11·······11···11·1·1········1··1·1···11·····1···1·1······11·1···1··1·1···1·111·1·11·1····11····11·111····1···1···1··11···1··11··11·1111···11111····1·1·1·1··1·····111····1·1·1111·········11····1··111···11·1·1·11······1···1··1··11·1·····1·1·1·····11······1····11····11··1·····1·1·1···1111·1·111···11···11···111···1··1···1··11····1·11··1···111·1···11·1·11········1·1···1·1··1···1··11·····1·11111
out 7 (181)	··1·1111··1······1········1·11·11·11111·1·11···1·1······1·1·1·11··1···1··11····111····111···111···111···1·········1··111··········1·1·····1···11··11·111··1·1111··1·11···1·11·111·1·111··11·1·11·1·1··1··1··111·1·1·11·1···1111··1···1····1·11·1··11111111·······11·······1·1111·1··1····11····11·1·····11·111····11·1···1········1··111·······1·1·······1··11·11·11···1··1111·1·11····1··11·111···1·1···11···11···1·11·11·1····1··11·1·11·11
out 8 (151)	1···111····11····1··11·1····11··11·1·11·1·····1··1······1·····1··11··1···11·1···111··1··1···11·11······1··111·1·1·111··1··1·1··1···1···1·······1·11···1·1·1·1········1··1···1·11·····1···1·11···1····111·····1·····1111····111····11·1·111··11·1·1·1·111·····1····1·······1···1·11·1·····11·1···1·11···1·1·11·1·1·······1··11·111·111··1·11··1··1·····1······111···1···1··1·······1···1····1·11··········1····1··1·1···1··111·······1·····111
out 9 (173)	1·1···1·1·11·······11·····1·1··1··111·1···1···11···11···1·1····1·1····1···1·1··111···1111····11··11·11·11·111···11·1··1··1·····1·111·1··1·11·1·1·11··11········1·11··1··1··1·1····1·1····11·1··1·1····1·111·1···1·11·111·····1·1·11···11··1·1·····111·1·1····1···1··1··1··1·1··11···1·····1·1··11·1····111··11···11··1·111·11·1·11·1··1·1····1111·1····1·111·111··11·········111··1···1··11·1······1·1········11···1··1·1··1···111·1····111·1
out 10 (191)	1···111111111····1·11·····11·1··1111111···1···1··11·1·1···1·1·11····1··1·111·1···11····11····111·111···11·1······1···111·11···11·1····1··1·1·1····1··11··11·1··1··1111····1111·1·1···11·11····1··1····111·1··1·1··1··11····111111111·111··11·1·1·111111·1····1····11···11···1111··1··1···111·1····11····11··111··111····11·1·····1···11111··111·········1·11···1··11··11··1··1·1111·····1·111·1··1·······11··11······1··1··11··1·1··1··1·1··1
out 11 (141)	··1·1·1111·············1··1·1111·1··1···1·1···1··1·1····1···1····11······11·1··1······11···1··1···1·1··11·········11·111·1·····1··1····11111·1···1··1······11····11········1···1····11······1·1111·1·····11·11··1·1····1···1·1111········11·111··1··1··11····1·1··1·1·····1··1··11·······11·1··1········1·1··1····1··1··11········11·1111····1·1······111111··1··1·······11···11··········1···1······1···1·········1·11111······11·11···11···
out 12 (141)	··1·111············111·······1111·11····1······1·1·11·····1······11·1··1···1···11·1···111·····1··1·····1··11··1···111············111····1111··11····1········1·1·1··1····1·····111·1··1·11·11·111·····1·1······1···11··1···111········111····111··11···1·········11·1··1····1···111··1·····1···11··1·1··11···1···1······1··11··1··111·········111······1111·11···1·········1·11··1·····1······11·1··1·····1··11··1·1·111···1···1·······1··11·
out 13 (157)	··1·1·11·11···············1·1··1·1·11···1·1······1·1····1···1··1··1······11····1·11···1····1··1···11···11·········11·11········1··1·1···1·11·1·1·1·1·11···1·1·11·11·11·····1··111···111···111·1·11··111··1···1111·1·11·1···1·11·11········1·1····1·11··11·········1·1·····1··1·1·1·······11····1··11······1··1····11····11········11·11······1·1·1·····1·111·11·1·11···1··1·1111·11·······1··111·····1···11····1·1·1·1·11·11····1···1·1111·11
out 14 (143)	·····11·111·1······1···1······1·1111··1········1···1······1···1···········1·1···11······1···1····1·1·1·1···········11····11······1··1··111·1·111··11111······111·1··11···1··11111····11··11·····1··1·11·1·1···1·····11······11·111·1··1··1····11·111··1··········1··1·······1·1···········1·1···1·1······1·1·····1·1···11··········11···11····1··1····111·1111·11111·······1111··11····1···11111·········11···11·······1·111···1·1···11····11
out 15 (127)	1·1·1··11·11·1···1·····1··1··11·········1·1·1··1····1·1········1·1··1·····111····1···1········1··1··11··1·····1·1·1··1·············1···1·····1·····111····1····1··1··1··1·······1···1·1·1·11·······1·1··1·1·1··11·1·1111···1··11·11·11···11··11········11·1······1·····11······11·1·······111·····1····1·····1···1···1·1·1·····11·1··1··········1·····1····1····111····1·····1·1··1···1········1·····1····1··1·1·1·······11··1·1·1·1···111·11
out 16 (165)	1·1····1···1·····1·111····11···111·1·11·1·1···11·1·1···········1·1·····1··1····1·1····11··111·1····11··11·111·1·····1·11·1·····1·111···11·11·1·1···1··1···1··1·1·11111·····11·11···1·1···11···11·1····1···1·1··11·1··111······1···1··1111·11···1·1·1·1111····1···11·1··········11····1····1····1··1·····1·11·1·····1·1··11·11·11····1·111····1111·····11·111·1··1··1···1···1·111111·······11·11·····1····1····11·····11·1··1·····1·1···111··1
out 17 (149)	1·1·1···1·11·····1·1·1······1··11·1···1·······1··1·11·····1····1······1··11······1···111·1·······11111·11··11·1·111···1········1·11·····1·11·1····1··11···1·11·1·1···1··1····1·11·1·······1····1·1···11·111·11·11····111···1···1·11··11·1···1··1··1···1······1····1·1··1····1··1····1····11·······1····11········111·1·111··1·11111···1······111·······1·111···1··11···1··11·11···1···1·····1·11···1···········1······1·1·11···111·11··11···1
out 18 (165)	1·1·11·111111·······111····1··111·1···1·1·····11········1·1···11·······1··111·········1·1··1·1···1·111··1··11······11111·11····1··1·11···11···11·11·11·········1···1·····11111·1···11·1··1··1·1111·1····1···1··11··11·11···11·111111···11··1··11··1···11·····1···1········1·1·11·····1····111············11·1····1·1·1·1·1··1·1····1111111···1·1·11·····11··1111·11··········1··1······11·111·1·····11····1···1····1·11111·····1···1···11·11·
out 19 (175)	1·1··111111······1·1·1·1··11····111··11·1······1····1·····1······1····1·····1··11·1··1··1··1·····1·11······11·1·11·11111·1····1··1·11··11··1·····11·111··11··111··11·1··1·······1·111·1···11··1·1··1·11·11··1·11··11·111····111111···11·1111···1·11··111·········1·····1····1···1···1·······1··11··1···1·11······1·1·1······1·1111·111111···1·1·11····11··1···11·111··11···111·11·1···1········1···111····1····111···1·1·111···11··1··11·11·1
out 20 (167)	1···11··1············1····1·····11··111·1······1·1·11···1·1·1··1·11···1111111··1··1········1·11··11·1··11··11·1···1·1·1··1·····1··11·1·······1····1·1·1···1·11···11·1····1·1·1·1··11111····11···11·1·1··111·11··1·1·1·1····11··1········1·1····1·1··1111·········11·1··1··1·11·111··11·1·1111··1···1······1·11···11··1··11··1·11··1·1·1·1····1·11·1········1···1·1·1···1··11··11·1·····1··1·1·1····1111··11······1·1···1111····111·11···11·1·
out 21 (157)	··1·1111·11·1········1·····111·1··1·1···1·11···1·1·11·1···1·1·1··1111····1·11··1··1···1·1···11·1·11·1·····1·1·1··1··11···1····1···11·1·1111····1·····1···1··11···1·11·····1·1·1··1·1··1·11·····1······1·1···11·1·······1···1111·11·1····1··111····1·1··111·······11·1··11···111·111······1·11··1···1·····1·11·1··11··1·····1··11·1··11··1···1··11·1···1111···1····1···1···11··1·11······1··1·1···1··1·····1··11·······1····1···1···11··1·····
out 22 (133)	1···1·11·11···············1111·1····1···1·1···············1·1·····1·1··1·1·1···1······1·1····1·1111··1·1··1·1······111·1·1········11···11·1····1····11······11····11·····11····1·1·1·11··1····11······1111···1·1··1···1····1·11·11········1111······1··11···················11···11··1···1·1···1·········1··1·1·111····11··1··1····111·11······11·····11·1···1···11·······11···11······11·····1··1··1····11···1······11····11·111···1··1·1···
out 23 (159)	······1·1··1·1···1··1··1···111··1···111·1···1·········1·····1··1··1···11·1111··1·1···1·1······1···1·1···1·1·1···1·111····1···············1·1·1·1·1111·····1·1··1···111··1·1·····1111111·1111····1··1··1··11·11·11···11·······1·1··1·11·1·1·111·1····1111··1·············1····1·1·1··11···1111··1··1····11····1·1··1··1···1·1··1·1·111···1···············1·11·11111·····1··1··1··111···1·1······1·1·111···11··111·1·····1·1·1····11·11··11··11
out 24 (173)	··1·111111··1····1··········1··1··1·11··1·1···1·····1···1·1·1·11·11·1·1··1111··1··1··1111··111···111······1·····111··1···11···11··1··1·1··11·1·····1·····11·1··1···11···1··11·11·111·11·11·11··1·1···11·1·1··1·1·······1···111111··1·1······1·····1·11·11····1·········1··1·1111111·1····1111··1···1···111111····111·······1····111··1··11··11·1··1··11··111····1·····11··1··1··11····1···11·11··1·11····11··11··1·1··1·1·11···1·1··1··1·····
out 25 (175)	····1····111·····1·1·1····1·11··11·1·11···1····1···1··111···········1·11··11······11·1·····1··11·11111·11·1·111·11··1··1·1·······1··1··1111···1···1··11···1···1··11·····1111···1·1111···1···1·11·1·1·11111··1·111·11·······1····111··11·1·1·11·1·1·1·11·1········1··1···111·······1·11····11·······11··1··1··11··111·1·111·1··1111··1··11·····1··1····1111··1··1··11···1····1·11······111·1···1··1·111·······1·····1·11·11111··11··1··11111··
out 26 (125)	1···1·11···········11··1···1···1···1·········11····11··········1··1····1··1·····11···11····1·1···1··1··11···1···1····11······1·1·11··1··1·1··1···1·1·············1·111··1·11····1·1111········11·1···1····1·1··11··1·11····1·11·······11·1·1·······1·········1······1··1·······1·1···1····1·····1·1····1··1·1····1···1··11····1·1····11····1·111··1····1·1·1··1·1·············1·111···1·1·1····1···111···1···········11·1·1······1·1···11·1·1
out 27 (95)	··1·111···11·····1··11·1··11····1····1········1··1··········1·····1······1·····1·······1·····1·······1····1···1·····1··········1·····1·····1···111···11···1·11·1··11······1····1·····1···1······1·····1······1····1····1···111···11··1·11111···1·····1·······1····1··········1···1·······1·····1········1···1··········1···1···1····1········1····1·······1··11···11···1··11·1·11·······1·····1··········1····1········1···1········1····1···
out 28 (127)	··11···11·11·····1···1·1··11·1·····11·1·1·····11·1··1···1···1··1·1·············1·1··1··1····1·1···········11······11·1·1·······1···1·1·1···11·····11·11···1··1·1··11·1·1··1···1·1········11·1···1··1·1············1··1·11·····11·11··1··1111·1·····11·11·····1···11····1··1··1·11··············1··1···1·1··1·1·············11·····11·1·1·····1··1·1···1···1····11·11···1···1·1·11·1··1··1····1·1··············11···1···1·11··············1··1
out 29 (141)	····1···11·1·······1······111··1·11····1······1··1········1·········1····1·11···1·1···11···1··11··1·11·1··11······1···11·1····11·11111·1··1··11····1·····1··111···11·····1·······1·111··1··1··11···1··11··1·111···1·1······1···11·1···1···111····11··········1····1·········1·····1······1·11···1··1····1·1··11···1··1·11··11·····1···111···1111111···1··1·11···1·····1···111··11······1·········1··11···1···1···1···11··1·11····1·11·1··1·1·
out 30 (189)	··1·1·111·1······1···1·1····1·111···111·1·1···11·1··1·1·····1··1·11·1·1··1·1···1··1··111···1···1·111·1·1··1·1·1·111111········11·11·11····11·11··111111··1111·11········11······1111·1··1·1····11····1·11·1·1111···11··1···1·111·1···1··11··1·11····11111····1···11····11····1·1111·1····1·1···1···1···11·1···1··111···11··1··11111111······1111·11······1111·111111··11·11·11········11·······1·1·11··1·1···1·1······11··1·1··1·1·11·11··11·
out 31 (125)	1·1··111···1·····1·1·1·1····11111····11·1······1····1·····1······1····1····1······1···11···1·····11········11·1····111···1·····1·1·1·1·11111·····11·1········1······1····1·····1··1···1····1··11···1····11·1········1·11····111···1··11·11··1111·····111·········1·····1····1···1···1······1·······1····1·1······11·1·······1·11···111··1····11·1·1···11111···11·1·········1·····1·····1······1····1······1······1···11··1·····11·1········1·
out 32 (141)	·······111·1········11·1···1···11·1·1·1···1········11···1···1········111··1····11·1···111····11···1··1·11·11··1····11111······1···1·11····1···1··11······1···11··1·11······1····1·1···1·1··11·11·1···1········111···1·········111·1····111·1···1··1·1·1·1···········1··1··1··1·····111····1····11··1····11··11····1····111·11··1···11111····1··1·11······1··1·11······1····11·1·11········1····1··11······1··1···1·1·11·1·1···········111··1·
out 33 (173)	····1111111·1····1···1·1····1·11111·1···1·1······1·111····1·1·11··1·1·1··1·1···1··1··11·1···1··1··1111··········11··11···11···1···1··1·1·111···1···1·1···11·11·1·1··11··1·1·1·11·111111·1··1···1···1·111····11·············1111111·1·1··11··1·11·11·1··11·········1·1··1····1111·11·1····1·1···1···1···1·1·1··1···11·1·1········11··11··11··1··1··1···1·111··1··1·1···11··11·11··11···1·1··1·11··1·111···11··1···1····1··1111······11········
out 34 (141)	1·1·1···1·11·······111·1···1·1111····1··1···1·1··1·11···1·········1····1···11··1······1····1·····1·1·1·1··111·······1·1··1·····1·11·····111····1····11·······1···1·11·····11···11··1111·11··1·11·1·1·1··1···········1·11···1···1·11···1111·1·111·····1·1··1··1····1·1··1··1······1···1·····11··1··········1······1·1···11··11·1·····1·1·1····111·······111···1···11·1······1··1·11······1·1···11····11···11··11····1·11·111····1···········1·
out 35 (165)	··1·1··1·········1·1·1·1····11·111·11·1·1·1····1····1·······1····11·1····1·11··1111··11····1·1·1··1·11·1······1··1·1·1········1··11·1·····11··1···1·1·1··11·1·11·····1··111····111·111··1111···11··1·1·1··1·111·····11·1·1·1··1······11·11··11·1·1·11·111········1·····1·····1··111······1·11··11·11···1··1·1·1···1··1·11······1·1·1·1······1·11·1·······11·1··1·1·1··11··1·11····1···111·····11·1··11···1···111·1····11·11·1····1·11·1····11
out 36 (125)	1·····1·1·1········1···1···1·1·111····1·······11·1·11···1········1········1·1·········1····1·11···1·11·11·1·1·1···1···1········1·1·1····1·1··1·1·11··1······1····1·11·····11········1····1··1·11·1·1··1··11·1···1·····1······1·1·1····1··1·1·1·1·1····1······1··111·1··1··1·····1·········1·1·············1·11····1··1·111·1··11··1···1······11·1······1·1·1·111··1·······1···1·11······1·1··········1········1····1·11·11·1····11·1····1····
out 37 (143)	1·1····11·11··················1··11·1···1·1···11·1········1·1·····1·1······11··11·1····1···1·1···1··1···1··11·1···11·11·······11····11···1···111····11···1···11····1·····11····1·1·11···11·1····1··1··1·111·1·111···1·11······11·11···········1··11·1··11····1···11···1·····11···11········11··11··1····1·1·1····1···1···1··1·11··11·11·····11···11·····1··111···11···1····11···1······11·····1··1··11·······11··1·····1·1·1···111·1··111··1·
out 38 (157)	1·111111·····1···1··11····1···11··111···1······1·1····1··········11·1··1···11···1·11··111···1········1·1······1···11·····1···111··1111·1·······1·1·······111··11·11111·1···11··1··1·····111····1·1·······11·1·11·11111111··1111·····11·11·1···1···111··1·········11·····1·······111··1·····11···1··11···11·1···········11······1··11····1··111·1111···1······11·······11·1··1111111··1····11··1····1·········111······1·1·······11·1··11·1111
out 39 (143)	1·1··1·11·1··········1·····1··1··11·····1·····1··1········1·········1·····111··1··1····11··1·11··1··11··1·111·····11111········1·····1···1·1·111·1··11·······1·····1·····111···1·1··1·1·11·11···11·1··1·1·1·1··11···1·11····1·11·1······1··1··1··11····1·····1····1·········1·····1·······111··1···1····111·11···1···1·1·1·11·1···11111······1····1·····1·11111··11········1····1···1··11·1···1··1···1····1··11··1·1···111·1···1·1·1···11··1·
out 40 (159)	····1111·1111······1·1·1··111·1·1·······1·1···1····11·········1···1···11····1··111···1··1··1··1········1··1·····111111·1··1···11·1·11···11·1·11·····11········11·111·1··11··1··1··1·1·1···1···1·1··1·1···11···1···1·11·····1111·1111··1·11111·11·······11···11······1··1······1··1··11······1··11·1····1·11··1··········1··1····111111·1·1··111·11·····11·111····11·········11111·1···11···1··1····1·1····1····1·····1·1·11·····11····1··1·11
out 41 (111)	1·······1·1·1····1·····1···1·11······1········1····1····1······1······1·····1·····1··1·1···1·······111·1····1·1···1·1·1···1········1····11·1···1·····1·······1·1·1·1······11·1·1··1·11···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········1·1·11·····11··1·1·1··1······1······11·1··1····1········1·11·1·······1·1·1·1····1·1···1····1··1·11···111········1······1··
out 42 (175)	····111·11··1····1·111····11··1·11111·1···1···11·1·1······1·1·1···1····1·1·11··1·1·····11···11···111·111············1·····1····1·1··11·111·1·11···111·1···1·1·1··11111···11·111·1··1·1···11········1·1··111··1····1111·····111·11··1·1111·11··11·1111·1·1····1···11·1·······111··1···1···1·11··1··1·····11·11····111···11···········1····1···11··11···111·111··111·1···1··1·1·11111····11··111·1····1····1····11·········11····111··1····1111
out 43 (157)	·······1·111·······11·····1111·1···1··1···1···11·1··1············1··1·11···11····11··111···1···1·1··1··1···1····11···1·1······11·11·11····1··111··1··1···1···11···11·1··11······111·1···11·1···1···1·111111·1·1···11·1········1·111···11··1111·····1··1·1····1···11····1········1·1·11·····11····111···11·1···1··1···1··1···1···11···1·1····1111·11······1·111·1··1···1····11··11·1···11·······1·1·1·1·······11··1····1··1111··111·1··1··11·1
out 44 (175)	····111··11·1····1·111·1··11·11·11111·1·1·····1111·11·····1·1·11·11····1·1·1···1·······11····11··111·1·1···1········1··1·11····1·1···1··11·1·11···1·111···1·1·11·1111····11·11·····1·11··1··············111··1·1··111······111··11·1·1111111·111·1111·11·····1···11·1··1····111111···1···1·1···1········11··11···111···11···1·······1··111···11···1····11·111··1·111···1··1·111111·····11··11·······1····11···1················111··1··1·111·
out 45 (151)	··1····1111·1····1·11··1····111····111···11···1····1········1·11·1····11·1······1····1·····11·1···11·1·····1··1·1111·1···11···1··1·1·1·111···11··1·11····1··11···1······111·1·1·1·1·11···1····111····1·······1······1··1······1111·1·111·1··111····111··1····1······1········1111···11···1······1······1··11·1····11···1····1··11111·1··11··1·1·1·1···111··11·1·11····1···11··1·······111··1·1·1···1·1···1····1······111··1·········1······1·
out 46 (181)	··1·1111··1········1···1··1·1··1·1111·1·1·1····1·1······1·1·1·11··1······1····11·11···1·1··11·1···111···1·········1··111·······1·11·11··1·11·111·111·11···1·1111··1·11···1·11·111···1·1···111·1··1···11··1··111·1·1·11·1···1111··1····1··11·1····1111·111········11·······1·1111·1·······1····11··11·····111·1····11·1···1········1··111·····111·11····1·11111111·11···1··1111·1·11····1··11·111·····1····1·1··1·1·1·1··1·11····1··11·1·11·11
out 47 (167)	···1··1·111·1······111····1···1··111·11···1···1····1······1·······1····1···1····11··1··11···111··1·1·1····1·······1·······1···1··11·1··111···11···11111··11··11··11·11·1·111·1111····1··111·····11·1··1·111···1···1111··1····1·111·1··111·1···1·1111·11·1····1······1·······1····1···1·····1····1·1···1·11·111···1·1···1···1······1······1··1·11·1····111··11··11111··11···11·11·11··1·11·1·1111·········1···111·······111·1···111····1··1111
out 48 (165)	1····1····11·····1·1······1111·1··1111··1·····11·1·1······1·1·1···1···11····1··1·····1111···1·1··1·11···1·1·1···111···11·······1·1··11·11·1··1···1·1·11···1··11··111····1·1·1111··11··1··1·········1·1··1·1·11111·1···1·····1····11··11···1111····1111·1·····1···11·1·······111··1··11······1··1·······111·1·1···1·1·11··1·1··1·111···11·····11··11···11·1·1··1·1·11···1···11·111·····1·1··1111····11·····1···1··········11····1·1·11·1111···
out 49 (125)	····11·1···1········11·1···1···111··11····1········11···1···1··········1··1·······1···111····11····1·1·11·1···1···1·11········1···1·11····1··1···········1···11··1·11······1····1·····1··1·11·11·1···1···11···111····1·····11·1···1····111·1···1·1··11··1···········1··1··1··1·······1····1········1····11··11·····1···111·1·1·1··1·11······1··1·11······1·1··········1····11·1·11········1····1··········1···1··1·1·11·1·1·····11····111···1
out 50 (149)	1··1·11············1···1··1111·11·1··11·1······1···1······1···1·······11··11·········111····1····11·1···1···1··111·11·11······11·1···1·11·11·1···111·····11··1···111····1···111···1·111·11·····1···1····1·1·1···1·11··1·1···11········1··11111·1··1··111·········1··1·······1·1·····11····11···········11··1·····11··1···1····1·11·11·11····111···1···11·111··111·····11···1··111·····1····111·····1·1···11··11·······1··1·····1·1·1····111··
out 51 (175)	1·1··1·1·1··1······111····1·111·11····1·1·1····1····1··11·1···11·1········1····111···1·11····1···11··1·11··11···111111·1·11···1··11·1····1····11·11·1····1····1···1··1··1·1111·11··1··1··11·1·1·11···11·1·····111·1··111····1·1·1··1··111·1·1111·1····111········1·····1·11·1·111·········1····11·1····111··1····11····111··1·1·111111·111··1·11·1······1···1111·1····1·····1··1··11··1·1·111·11····1·····1···11···1·1·11·11···1······1111··1
out 52 (183)	1·11··1·111··1···1·11··1··1·1······1······1····1·1·11·1···1·1·1········1·11·1··11·11·1·········1··111··1··1···1·1111·1·······1···1·11····11··1···1·1·1·····11111··11·1·11·11·111·1111·1··11····1·1·1·111·11··111··1·11111····1·111··1111·11·1······1····1········11·1··11···111······1···11·1··11··11··1······1···11·1··1·11···11111·1·····1··1·11······11·1··1·1·1······11111·11·1··11·1·1·111··1·111····1···11······1·11111···11··1·11·1·11
out 53 (149)	··11·1··1111·1···1·····1···11··1·1··1···1······1····1·····1······1····1··11···1·11·1·1111···1·11·11··1·11··1··1·1··1·111·····1·1··1··1··1·····1······1····111··1·······111··1···11···1····1····1·····111111·11··1······11···1··1111·11···1·11····1··1··1·········1·····1····1···1···1····11···1·1·1·1··111·1·11··11····111··1··11··1·111···1·1·1··11···1····1·····1····1·11··1·······111···1···1·1·······1·····1······1···111··111·11···1····
out 54 (127)	····1··1··11········1··1····11···111··1········1·1········1····1·11···11·1··1···11···1·····1·····11··1·1··11····111··1·············1·1·········1··1··11·····1··1····11··1····1····11·1···11···1····1·11·11···1·1···1·1·····1··1··11····1·1··11···111··1··········11·········1··111··11···1··1···1·1····1··1······11····11··11···111··1··········1·1··········1·1··11······1··1···11···1·····1······11····1·1··11·····1···111···11···1··1··1·1
out 55 (141)	1·1·····1··1·····1·1······1··1·1·1·1111············11···1···1············11·1···1·····11···1·1····1·1··1111·1······11·1··········11··1··1·11·1·1··1···1···1·1··1·11·1······1····1···11··11··1·1111·1·11··11·11··1··1··11·······1··1··11···1··1···1·1111·············1··1··1··1···········11·1···1·······1·1·1·····1··1··11·1··1····11·1·······11··1····1·111·1·1···1···1··1··111·1········1····1·····1···1···11····1·1111111····11·11···1·1··
out 56 (173)	··1·11·1111·1······111·····1··111·11··1········1····1·1·1·1···11··1····1··1·1·········111··111···1··11··1···1·····11111··11·······1·11·1··1···11·11·111····1··11···1·····1·11111···1··1··1111·1111·1··1·1·····111··11··1···11·1111·1··111··1··11··11··1··········1·····11·1·1·11·1···1··1·1·1···········11111····1···1·1·1····1···11111·11·····1·11···1··1··1111·111·····1··11··1······1··11111·····1·····1···11·1·1·11111·1···1······111·11·
out 57 (127)	··1·1·1·1·11····11··11·1··11·1··1··1·1··1········1··1··········1··1····1·1·····1·1··········11·····1·1····11··1···1·1··1·············1·1···1···1·1·1·11··11·11·1··11·1········11····11···11········1··1··1···1····1··1·1···1·1·1·11··1·11111·1·1···1·1·1··········1····1·······1·1···1···1·····1··1········11······1···1···11··1··1·1··1··········1···1···1··11·1·11··11··11·1·11·1··········11······1···1····11·········1·1····1···1····1··1
out 58 (173)	1····1··11·11······11··1··111·11··1·1···1·1····1·1·1····1···1·11·1··111····1···1·····11····1···111·1·1······1·1·1·1····1··1·1····11111···111·111···11·········11·1111···1·1·1··1111··1···11·1·111·····111·1···1···111·1·····1··11·11··11·1111·1···1·1··11··1·····11·1·····1··1111·111······1···1·······1··1···1·11·1···1······111·1····1·11···11111·····111111··11··········111111····1·1··1··11·1·1·····1····11···1·111···11··1·1····1··111·
out 59 (151)	1···1111·1·11······111·····1111·11·········1··1····1··1·······1··11···11·1······1·······1··11··1··1····1··11·····11111···1·····1·1·11··11··1·11·····1·······1·1··1·1·····1··1·111·111·1····1··1·1··1·····11··111····1·1····1111·1·11··111··11111·1·······1···1······1···1·····1·11··11···1······1········111··1···1·····1··11····11111··1····11·11····11··111····1········1·1·1·1······1···1·1111··111····1······1···1·1·1······11··1·11···1·
out 60 (165)	··1·1·11···11····1·111······11111···111···11··1···11····1···1·11·····1···1·11··11·1···1·······11···11··11·11····1··1111···1·1·1··1·1·1··1·11······1··1········11·11·····1·1·1···1··11·1·111···1·11···1·····11·1···111··1···1·11···11·1111···1111····111·11···11····11·····1··111···1·····1·11··11··1·········11····1·1··11·11···1··1111··11·1·1·1·1····1·11····1··1·········1111······1·1··1···1····11····1··111·····1·11·1·······11··1··111·
out 61 (143)	··1··111·1··1······1·1····1··11·111···1·1·····11···11···1·1····1·1·············11······11········1···1·1···1······111··1·11····1·1··1···11···111····1·1·······1··11·1····11·11·11···111··1··1···1·1···1·1·1···11··1·1··1····111·1··1··1·1·1··111·11···11·····1···1··1··1··1·1··11··············11·······11·······1·····11···1·····111··111···11··1·····11··111···1·1········1·11·1·····11··11·11·····1···11···1····1···1···1···1·1····11·1·1·
out 62 (125)	1······11·1········111·1···1·1·111···1········1··1·11···1·········1····1··1·1·········1····1·······111·11·1·1·1···1·111········1·11·····1·1··1·1·····1·······1···1·11·····11···11··1·····1··1·11·1·1·1······1···1·····1·······11·1····1111·1·1·1·1···1·······1····1·1··1··1······1···11···1·1·············1········1·1·111·1··11··1·111······111·······1·1·1·1····1········1··1·11······1·1···11····1·········1····1·11·111········1····1····
out 63 (165)	··1·111···1·1····1·····1··1··1·11·1111··1·1····1····1···1·1·1·1·······1··11··1·1·1····111··111····111·····1·······1···11··1·······1·11·1··1···11···1·11···1·111···1··1···1·11111··1·1111··1·1·11·1·······1··111···1111·1···111···1·1·1···11··1·1··1111·11········1·····1··1·111·····1····11··1·1··1·····11111·····11·1·····1······1···11·1·····1·11···1··1··11··1·11···1··111··1··1····1··11111····1·1···11····1···1·11·1·······1··11·1··1111
out 64 (151)	1····11·11111······11······1·1·······11·······11···11···1·····11·1··1··1··1·1···1·1····1···1··1·····11·11···1·1···11··11·11····1·111·1··1··1···1··1··1·········1·1·11··1··1111···1·11······11····1·1·11···1·1···1··1··1·····11·11111··11···1·1·······11······1···1··1··1··11··111·1··1····1·1···1··1····1·1··1·······1·111····11··11··1111···1111·1····1··1··1·1··1··········11·11···1··1·111····1··11···········1·1····1111·····1·1····1·1··
out 65 (167)	1····1·················1··11·11··111·············1··1···1·1···11·1··1······1·····11·····1··1111··1·111··1·1·1·1···111·11·1·····1···111·1·1·1·11··1·11·1···1··111···1·1···1111·1111··11···1111··111···1··1···1·1·1···111·····1············111·11··111··············1····1··1·1·111·1········1······11·····11111···1·1·1·1·1·1··11··111·111····1··111·1·1·1·111·1·11·1···1···111··1·1····11·11·111·1···1···1····11·1·1··111·1····1···1··1·1··11
out 66 (143)	··11·1···11··1·····1·····1····1·111·111·1······1·1······1········1····1·····1·1·1··1···11··11111·1··11····1······11111·1·····1·1·1···1···11··111··1··11····1···1···1·1·1·1111····1··1····1··1····1·1···11············1·11···1···11··1·1·······11·11·1111·········11·······1·····1···1·······1·1·1···1···1111111··1···1·1···1·····11111·1···1·11···1·····11·111·1··11·····1···1··1·1··1·11·11·····1···1········1····1····11··1··1············1
out 67 (183)	··1·1··1·1·····1·1··11·1···1111·1··111····1···11·1·1····1···1·11······11·11·1···1····1·1····1111·1111·····11····1111111··1···111···1···111···111···11····11·11···1·1····11·11·1·1·1··1······1·1111·1·1·11·1·11·1····1··1···1··1·1····1·111·11111···111··1····1···11·1·····1··111····11···11·1···1······11··1111··111·1·····11···1111111·1··111··1·····111··111··11····11··11··1·1·····11··11·1·1···1·····1·········1·111111·1··1·1·11··1···1·
out 68 (93)	1···1··11··········11··1·····1·1·1·················11········1····1····1··1···········11···1·1·····11··11···1·····1··11··········11··1··1·1··1···················1··1······1····1··1·1········11···1·1····1·1··11·····1····1··11······11·1···1···1··················1··1·········1···1····1·············1·1·1······1·1··11····1···1··11·······11··1····1·1·1··················1··1········1····1····1····1···········11··11······1·1···11····
out 69 (167)	1·1·111···1········11··1··1·11···111111·1·1······1··1···111·1·11·······1·1·····1·11·····1··1111···1·1·······1·····1···11·······1·1··11·····1·111··11·11···1·1·11··1··1··11·11·11···11·1···111····1····1··11·111···1·1111···111···1····11·11·11···11111111·········1····1··1·1111·····1···1·····1··11·····11111····1··1········1···1···11·····11··11·······1111·11·11···1··1·11·1··1···11··11·11·····11····1····1·1·1····1··1····11·11·1··1·11
out 70 (167)	1···111·11·11·1··1·111····1·····11··111·1······1·1·11···1·1·1·1···1·1····1·11··1··1········1·11··11·1··11··11·1···1···11··1·1····1·1·1·······1····1·1·1···1·11···11·1····1·11····1··1·1····11···11·1·1··111·11··1·1·1·1····111·11·11·1111·1····1·1··1111·········11·1··1··1·111··11······1·11··1···1······1·11···11··1··11··1·11··1···11·11···1·1·1········1···1·1·1···1··11··11·1·····1··11·····1···1····1······1·1···1111····111·11···11·1·
out 71 (173)	1·······1··11····11111·1···11·111·11·11·1·11··1···1···1·······1······1··1·1·1··1·11··1111··1··11···1···1··11·····1··1·1···1·1·1··111····111··1···11111······1·11··11·1···1·11···1··111··11111···1····1·······11·1·1·111········1··11·11111·11·11··11·11111···1·····1····1·····1····1···1··1·1··1··11···1111··11····1····1··11····1··1·1··11·1·111······111·1··11111·······1·11·11·1····1··11···1····11···1···111·1·1···1··1·········1·1·11·11
out 72 (159)	··1·1···111··1···1··1······11···1···11··1·····11·1·1····1···1····1··1··1·1······111··1·······1·1·1111·····11····11111·11···1··11····1···1····11·····11···11·1111·1·111··11·1·····1····1···111·1·11·····11·1·111······1·1···1···111··11·1···11··1····11·1·····1···11·1·····1··1··1·1··1···1······1·11···1····1·1··111·1·····11···11111·11····11···1·····1···11····11···11··11111·111···11··1······1········1····1·1·1·1·11···1··1·1·11·1·····1
out 73 (197)	111··1·111111·······11·····1·1·11·1·1·1·1·····11·1··1·111···1·1··11·1····1111··1·111·1111··11·11·1··1···1·1·····11··11···11····1···1·1·1·1···1···111·1······11·····1·1··11·1111·11··111·111·1··1·1···1111·1·11·11···1111····1·111111···11··1·1·1··1·1·11·····1···11····1111··11·111······1111··1··111··11111·11··1···1···1·1····11··11··11···1··1·1···1·1··1··111·1·······11····1·1···11··1111·1·1···1···11··111···1··1·1·111··1·1·11··11··11
out 74 (173)	1·1··1·····1·····1·11··1··11···111·111··1·1···1····1········1·11·1·····1····1··1·1····111··11·1····111··1·111·1···1···11·1·····1·1·11··11·11·1···1·1··1···1·1111·11111····1·1·11···1·11··11···1·······1···1·11111·1··111····1·····1··111·111···1·1·111·11····1······1········1111····1······1··1··1·····1111·1·····1·1·1·1·11·11··1···111····11·11····11·111··1·1··1···1··111111111·····1··1·11·····1···111···11·····1·····1·····1·11·1111··1
out 75 (175)	··1··1111111·····1·1···11·11··1·111··11·1·1·······1·1·1···1······11···1···1·11·11····1··1··1··1··1·111··1··11·1·1··1·111·1·······1·11··1···1··1···1·111···1··111··11····11·1····1·1·1·1···11····11·1·11·1···1·11··11···1····1111111··11··111··11·11··1111··········1···11···1···11··1·····1·11·11······1·11··1···1·1·1·1·1··1·111··1·1111·····1·11····1···1·1··1·111···1···111·11·····11··1····1···1·1····1····1·1·····11111···1···1··11·11··
out 76 (61)	···········11······11··········11················11···········11······11··············11··················11·············11······11·······11···················11···········11····11··········11···················11·············11··11·······1··················11··········11····11··················1··················11···········11····11·········11··················1·············11······11················11···················11·
out 77 (125)	··1·11···11·1····1··11·1··11···1·1··11········1··1··········1·11·11·1····1·····1··1·1·1······1·······1····1···1········1·11····1·····1····1··1·1·1···11···1·11·1··11······1·11···1···1···1·1·1111·····1······1····1····1···11···11·1·1·11111·····1··11·······1····1··········111111······1·····1···1··1·····1··········1···1···1·······111···1····1······1·1·11···11···1··11·1·11·······1··11····1·······1····1··1···111···1········1····1···
out 78 (173)	1·1·1·1·111·1····1·1·1······1·11111··1··1··1···1·111····1·····11·11·111··1·1··········111··1·11··1·····11·1·1···1·1·1··1··1·1··1·1111·····11·111····1····1···1·1·11·····1···1···111·······11··1·11·1·11111·1···1··11··11···1·1·111·1·11·1···1·11·11··1·1·1·······1111·····1···1111111····1·1············111·11···1······11·1··1·1·1·1··1·11··11111·······11111···1····1·1··1·111······1····1···1·1·1···········1·1···1·111111··11·1····1·11··
out 79 (175)	1·1···11···11····1··1··1···111····11······11··11··1·1·1···1···1··1···11·1·111··1·11··1·····1···1·11·······11··1··1···1····1·1·1·1·1········1·1·····1·1······1111··1111·····11··11·11111·11111·11·····11·111··1111·1·1111·····11···11·1·1·1·111····11····11···1···1·1···11···1·1·1··11··1··111··1··11···1··1···1··11········11··1·1···1···11·1··1··········11····1·1·······1111·1111·······11··11···111···11··111·1·1·11···11···111··1·1111·11
out 80 (173)	····111·1··········1·1····11··111·111·1···1···11···1······1·1·11··1·1····1111··1·11···111···11···111·1·1··1·········1··1·········11·11·11111··1···111·1···1·1·11·1·111···11·1·1·11·······111··1····1·1··111··11···1·11·····111·1······1·1·11··11··111·1·1····1···1··11······1111·11······1111··1··11····11·11····111···11··1········1··1······11·11···11111·1··111·1···1··1·111·111····11··1·1·1·1············11·1···1···11····111··1·1··1·11
check 81 (168)	1···1111·1·11······111····1·····11111·1···11···1··111·······1·······1··1···1····1111·1·11····1···1······1·111···1·1·1·11·11··11··111····1·1·······1········111·1·111·1··1···11···11···1·11·11·1······1111···11·1··1··11····1111·1·11··111·1····1·1111·1·11·······1·11··1·····1····1··1·····1····1·111··111··1····1·······1·11·1·1·1·1·1111·11·111······1·1·····1·········111·1111·1···1····11····1·1······1··11··1·1·1····111··1···11··1·1··1
check 82 (174)	··1·11··1·1111···1·1·1·1··11··111·1·11········1···1···1·······1······111·111···1·11···1·1··1·11···1·11··1·111·1····11·1···1·1··1·11111··111····1·1·1·1···11111····1·······111··11111·1···1·11··1······1······1····111··1···11··1·111111·1111··11··1·11·······1·····1····1·····1····111···111···1··11·····11·11····1··1·1·1·11·11···11·1··11··111111····111···11·1·1···11·111···1········1·11··11·1·11····1····1··1·1··1····1········1····111·
check 83 (158)	1··111·1···1·····1·111····11···1··111·····11·····1111··········1·1·····1··111···11·1·11·1····11··1·1····1··11···1·11·11······11··11··1··1····1·1·1···1···1·1··1··1·1·1·11······11·1·1·1·1········1·····1111·1·11···1·11·1··11·1···1··1111·11······111···11········111··1·······11····1····111···1·1·1··1·1··11···1·1·····1··1·1·1·11·11····11·11··1····1···1·11···1···1··1··1·1·1·1··11·······11···1·1····1··1··········1···1··111·1··11··1·1
check 84 (158)	···1111·111··1······1·····11·1·11·11111····1··1····1··1·······1··11···11··1····1··11··111·····1··1······1·111···1··1111·······11··1·····1······1··11··1··1·······111···11·1···1·111·11···1·11··1·1·1···1111·····1·1·1···1··111·111··1··1··11·1·1··11111··1···1······1···1·····1·11··11····1····1···11···11···1···1·······1·11·1·1··1111·····11·1·······1·····1·11··1··1·······111····11·1····1·1·1·1·1···1····1··1·1··1·11··1··111······11·1·
check 85 (174)	··11·1··1········1···········1·1··11··1·1·111··1···1··11··1····1··1·111111·1111·1···1·11·····1··1·1··1·1········111·1····11··111·1·1···1···1·11··1·1··1··11··1·1···11····1··11111·111···1··1···11·····1·11·111111·1··1·11···1··1·····1·······1····11··11111······1··1···11··1··1·11111·1·1·1111·1·····1·1···1···1·1····11·······111·1···11·1111·1·····1···111·1·1··1··11···1·1··11·····1···11111···111·······1···1····11···1···11·111·1111··1
check 86 (182)	···1··1····11····1··11·1··1··1·1·1··11····1·1·1····1··111·1·1·1·······1··1111·1·11··1·11····1·11···111··1·111·1··1····11··1··11··1··11··11·1·1····11··1··11·1·11··11·1···1·1·1···111·1··1··11··1·1·1···111···11·1·111···1····1····11·1·1111··1···1··11··1·1··1······1···111·111·····1····1111·1·1·1···1·1··1·11····1·1·1·1·11·11·1····11·1·11·1··11····11·11···11··1··11··1·11·11·1····1··1·1····1·11····1···1···1·1··1·11··1··11···1·1·1111·
check 87 (190)	1··111·1111·········11·1··11·1111·111······11·11·1·1··1·····1····11····1·1·1111·11·111111··1···1·11·11·1···1··1·11·1··11·11··1····1····11····11·····11·····1·1·1··1·11··11··111··11·1·1·1··1··111····1·11····1·11·1·1·1·1··11·1111·····11111·111··111····11··1···11·1···1····1··11···1···1·1111·1·1·1·11111···1··11··1·11···1··111·1··1111·1···1······11···11····11······1·1·1·1·11···11···111···1·1·1····1··1···1···111··1·1··1····1··111·1·
check 88 (174)	1·1··11·11··11···1·11·····1·1111·111·11·1··11·1·····1·1·1···1·1··11····111·11··1·····11·1···1······1·······1·······1··1········1··1111·1··11·111··1·······11·111··1·11··11111·1····1····11111··1·1···11···11·111···1··11····11·11··11111··1·111··111·111·11··1·········11·1··11·11···1·1·1·11··1·······1·1·1·······1········1······1··1······1·1111···1··11111·1·······1·1·111·1·11···111·11·1······1········111·1·1··1·1·11·····11·1·11··1··
check 89 (168)	··111·1····11·······1··1··1··1·····1····1··11··1···1··1···1·1·11··1····1·11··11111·1·1·1·····111··1····11·1·1·1·11·11········1·1···11··1111··1····1········1111···1111·11·11··1111111···1··1·····1·1···1·1··11·····1···11··1·1····11···1·11··1·····1···1·11······1··1···1···1111·1···1···11··1111·1·1··11···111···1·····11·1··1111·11······1·1··11····1111·1···1·········1111··1111··11·1·1··111·1·111·······1···1······11··1···1··11·····1··
check 90 (174)	1··111111·11·1···1···1····1··1111·1··11··········1··1·····1·1··1····11··1····11·11·1·111···11···1·1·11·1···11···111··········1·1·11··1··11·1·11···1111····1·1··1·11111·11··11··11··11·1···1···11·1···1··1··1··1·1·····1·1··11111·11·11··1·1··111··1··11···········1····1····11·1··11···1·····11·1·1·1··11·11····1·1··1·11···1·1·111········1·111··1····11·111··1111····1··1··111111··11···11··11····11····1····1·····11·1·1····1··1···1·1····
check 91 (182)	1·11·1···1111··············1·11111·11···1···1····1·1····1·1···1··1·······1111···11··1·111··1·1111··111····111···1·111·11··1··1·1··1111···1····1··111·1·····11·11·······1111111··1·1·1······1··111··1·1··11·11··11·1··1111···1···1111·······1·111·1·11··1··1·······1·1·····1·1·1·1········1111···1·1···1·111·111·1··1·1·1···11·1·1·111·11·1·1·1·1111·····1···1·111·1······11·11·······1111·111··1···1·1···········1···111·11····11·11···111··1
check 92 (254)	111·1··11··1·1111·1···11111··1···1111·1111···11·1·11·11·11·1·11·1··1·1·1···1·11··11··1·11111111·11·11·11·1·111·1111·11··1111···11····11····11··1111·1··111······1·1···11·11·1111··1·1··11··111111·1·1·11·1··1··1·1··11··111·11··11·1·1111··11·111····1··11111·11111··111·1·111·1111·1·11111·1··111··111·······11··1·1·11·111·1·1···1··11··111·1111·1111111·11···1·1111·11111111·11111·1··11····1111·1·1111111·111·1·1···111··111·11·111·111··
check 93 (208)	·11·11···11·11·1·1·1·1···1111··11·11··1···1··11··1···11·····1··11·1·1··1··1·1·11·11···1···11·1·1··1·1·····111111····1····111·····1·1·1··11111·1·111·11···········1111··1··11·1·1·11111···11··11111111·11111·1··1·11··1·11·11··1··111·····11·11·11··11··1··1····1·1··1·1·11·11·11····111·1······11··11·1··1111111·111···11·1·1111·1·111·1·1·1·1·····1·1··1·1···1···1111·1·1·1·1·1·111···111111111····1··1···11··11·1···1·11··11··1····1···11··
check 94 (198)	··1··1·1·····1··1···1··111···1·1·1···111··1···11·111·1·····11··11·11·······11111·1···11······1·1·1·111·11·····1111···1·1··11······111·1···1·1·1·11111·11·11···1·1······1111··1··1··1·1·11····1··1···11··111·1·1·11···1··1··1··111··1·1··11··1··111·11111111·1···1·1····1··11·····11··11··1111··1·1···11111111··1·11··11·1·1·11··1111·11·····11···1·1··11·11·1111···11·····111·1··11·1·11·1···1·111···1··1···11·11··1··1··11·11·1···1111····1·
check 95 (184)	·····111··11·1····1·11····1·11····1··11··1·····1·····11··1111··1·1·1···1····1··1·11···1·1··1······1·11·1·11·1····11·111·1111···11·1··1···1·····11111·1·1··1····1··1·1···1······1···111····1····1·······1·11·1······111···111·11····1··1····1·····1·1111·111···111····1111······1·11··1·1111·1···11·1···11·1·1111··1·1·1·1···111·1··1111······11·1·1·11111··11·111··11··11111·1··1·1····111·····111··11111····11·1···11·1··11·1··111·11···1···
check 96 (198)	1········1··11·····1111111··1··1··1·1·11111····11·1··1··1·1·111·11111·11··111111111···11·11·1·11·····111·1··1·1····1··1111·1··1··11···111·11··1···1·1··1·1·····111·······1·1111··11····111·11·11111111···1·······11··11······111·11···111·11·1····1·11···11······11·1111··1·11·1····11····1······1·1····1·1·1··1·······1·1111111···111···1··1·11·11111···11·1·1·1·111·1·····1··1111····1······111··1······111··111·1·111···111··1·····111·11·
check 97 (208)	1·1··1··11··1·111·1·1·1·111·1·1··11·····1····1111111·11·1·1·······1··111····11111·1··1··1··1··111·1·1·11·1······1·11··11··1····11·1·111····1··11····1···11···11·1·1·11··111·····1···1··1·11·1··11··1··111·1·1·1··1··1·11····1··11··1·11·11·1·11··11····1···11·111····1111·1·1····1····111111·····111···1·11··11··1·11·11·11111··1·11··11·1111·1·1··11111··1·11···1···1·1111··11·1·····111······1··111·11111111··1··1··11·1·11·1·1·1·11·1111·1
check 98 (208)	··1··1·11·1··1···1···1······11·1···1·11111·1·1·11·1·111···1··········111··111······1·11·111···11111·1·11·1·11·1·1111··1··1··1··1·····1··11··11··1111···11·11·11·11·1····1·1·1··11111··1···11·111·11·1111·11···11·111·1·1····1·11·1··11··1···1111111·1···1·1111111·1·111·1···1······111····111······1·11·1·111··1···11·11·111·1111111··1·1·1··1····1····1·11·11···111111·1·1··1·1·11···1·1··1··11·1·11·····1····1··111··1·1···111··1111··1··1·
check 99 (224)	···1111·1·1·11···1·1·1····1·····1·1·11··1··1··1·····1·1·1111·11·11·1·····1···1·11··11·1··11·1·····111·1111·1··1··1·11111·1···111·11····1··1···11·1··11···1·11··1·111·1111··1····1111·1·1·11·1111111·11·1·····11·11·1·1··1··111·1·1·1111·1·1····1··1·11·1·1···1·········1·1·1·1·1·11111111·111·1··111·1·1111·111111··1·11··11·1·1·1·111111··11111······1··1··111··11···1··11··1111·111··111·1111·1·1··1111·1111··111·1····1·1·1111111·1·1·1·1·
check 100 (200)	···1····11··1····1··11······1·1···1·11··1·1···1···111·11····1··1······111···1···11······1··1·11·11···1··1····1·11·11···11111·11·1·1111111··11···1·1···111·1111··1·11··1·1·1····111··1·11·1·1111·111111111···11··11111···1······11··1·1·11···1·1···1·11·11····1·····11··111···1·1····11·1····1···1·1······11·11··11·····1·1····11·1··111···1··11····111··11·1111·111·111·1···111··11111·1·11111··1·111·1111·111·11·1·1·1······11·111··111····1

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

Figures of merit

inputs n429Noisy T states per run.

outputs k81

distance d4Exact, proved and witnessed here.

error coefficient A_{4}8,343Faults of weight 4 in the circuit shown that pass every check and damage the output. The output error is A_{4}\,p^{4} to leading order.

wires N101

checks r20

V_{\mathrm{ex}}81T states per run. CCZ counts as two.

\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.2025Overhead per extractable T state. Lower is better.

\gamma = \log(n/k)/\log d1.2025Overhead 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 width81Rank of the output rows modulo the check rows.

Output gate

81 T0 CS0 CCZon 81 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}

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 (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 93 single-wire gates and 1596 \mathrm{CZ} gates: \mathrm{S} on output 0, \mathrm{Z} on output 1, \mathrm{S} on output 2, \mathrm{Z} on output 3, \mathrm{Z} on output 4, \mathrm{Z} on output 5, \mathrm{S} on output 6, \mathrm{Z} on output 7, \mathrm{S} on output 8, \mathrm{Z} on output 9, \mathrm{S} on output 10, \mathrm{Z} on output 11, \mathrm{Z} on output 12, \mathrm{Z} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{Z} on output 16, \mathrm{Z} on output 17, \mathrm{Z} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{Z} on output 21, \mathrm{Z} on output 22, \mathrm{S} on output 23 and 1665 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 1689 correction gates

\mathrm{S} on output 0, \mathrm{Z} on output 1, \mathrm{S} on output 2, \mathrm{Z} on output 3, \mathrm{Z} on output 4, \mathrm{Z} on output 5, \mathrm{S} on output 6, \mathrm{Z} on output 7, \mathrm{S} on output 8, \mathrm{Z} on output 9, \mathrm{S} on output 10, \mathrm{Z} on output 11, \mathrm{Z} on output 12, \mathrm{Z} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{Z} on output 16, \mathrm{Z} on output 17, \mathrm{Z} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{Z} on output 21, \mathrm{Z} on output 22, \mathrm{S} on output 23, \mathrm{Z} on output 24, \mathrm{S} on output 25, \mathrm{Z} on output 26, \mathrm{S} on output 27, \mathrm{S} on output 28, \mathrm{Z} on output 29, \mathrm{Z} on output 30, \mathrm{Z} on output 31, \mathrm{Z} on output 32, \mathrm{Z} on output 33, \mathrm{Z} on output 34, \mathrm{Z} on output 35, \mathrm{Z} on output 36, \mathrm{S} on output 37, \mathrm{Z} on output 38, \mathrm{S} on output 39, \mathrm{S} on output 40, \mathrm{S} on output 41, \mathrm{S} on output 42, \mathrm{Z} on output 43, \mathrm{S} on output 44, \mathrm{S} on output 45, \mathrm{Z} on output 46, \mathrm{S} on output 47, \mathrm{Z} on output 48, \mathrm{Z} on output 49, \mathrm{Z} on output 50, \mathrm{S} on output 51, \mathrm{S} on output 52, \mathrm{Z} on output 53, \mathrm{S} on output 54, \mathrm{Z} on output 55, \mathrm{Z} on output 56, \mathrm{S} on output 57, \mathrm{Z} on output 58, \mathrm{S} on output 59, \mathrm{Z} on output 60, \mathrm{S} on output 61, \mathrm{Z} on output 62, \mathrm{Z} on output 63, \mathrm{S} on output 64, \mathrm{S} on output 65, \mathrm{S} on output 66, \mathrm{S} on output 67, \mathrm{Z} on output 68, \mathrm{S} on output 69, \mathrm{S} on output 70, \mathrm{Z} on output 71, \mathrm{S} on output 72, \mathrm{Z} on output 73, \mathrm{Z} on output 74, \mathrm{S} on output 75, \mathrm{Z} on output 76, \mathrm{Z} on output 77, \mathrm{Z} on output 78, \mathrm{S} on output 79, \mathrm{Z} on output 80, \mathrm{S} on check 82, \mathrm{S} on check 83, \mathrm{S} on check 84, \mathrm{S} on check 85, \mathrm{S} on check 86, \mathrm{S} on check 87, \mathrm{S} on check 88, \mathrm{S} on check 90, \mathrm{S} on check 91, \mathrm{S} on check 92, \mathrm{S} on check 94, \mathrm{S} on check 96, \mathrm{CZ} on output 1, output 3, \mathrm{CZ} on output 1, output 4, \mathrm{CZ} on output 1, output 5, \mathrm{CZ} on output 1, output 7, \mathrm{CZ} on output 1, output 9, \mathrm{CZ} on output 1, output 11, \mathrm{CZ} on output 1, output 12, \mathrm{CZ} on output 1, output 13, \mathrm{CZ} on output 1, output 16, \mathrm{CZ} on output 1, output 17, \mathrm{CZ} on output 1, output 18, \mathrm{CZ} on output 1, output 21, \mathrm{CZ} on output 1, output 22, \mathrm{CZ} on output 1, output 24, \mathrm{CZ} on output 1, output 26, \mathrm{CZ} on output 1, output 29, \mathrm{CZ} on output 1, output 30, \mathrm{CZ} on output 1, output 31, \mathrm{CZ} on output 1, output 32, \mathrm{CZ} on output 1, output 33, \mathrm{CZ} on output 1, output 34, \mathrm{CZ} on output 1, output 35, \mathrm{CZ} on output 1, output 36, \mathrm{CZ} on output 1, output 38, \mathrm{CZ} on output 1, output 43, \mathrm{CZ} on output 1, output 46, \mathrm{CZ} on output 1, output 48, \mathrm{CZ} on output 1, output 49, \mathrm{CZ} on output 1, output 50, \mathrm{CZ} on output 1, output 53, \mathrm{CZ} on output 1, output 55, \mathrm{CZ} on output 1, output 56, \mathrm{CZ} on output 1, output 58, \mathrm{CZ} on output 1, output 60, \mathrm{CZ} on output 1, output 62, \mathrm{CZ} on output 1, output 63, \mathrm{CZ} on output 1, output 68, \mathrm{CZ} on output 1, output 71, \mathrm{CZ} on output 1, output 73, \mathrm{CZ} on output 1, output 74, \mathrm{CZ} on output 1, output 76, \mathrm{CZ} on output 1, output 77, \mathrm{CZ} on output 1, output 78, \mathrm{CZ} on output 1, output 80, \mathrm{CZ} on output 1, check 82, \mathrm{CZ} on output 1, check 83, \mathrm{CZ} on output 1, check 84, \mathrm{CZ} on output 1, check 85, \mathrm{CZ} on output 1, check 86, \mathrm{CZ} on output 1, check 87, \mathrm{CZ} on output 1, check 88, \mathrm{CZ} on output 1, check 90, \mathrm{CZ} on output 1, check 91, \mathrm{CZ} on output 1, check 92, \mathrm{CZ} on output 1, check 94, \mathrm{CZ} on output 1, check 96, \mathrm{CZ} on output 3, output 4, \mathrm{CZ} on output 3, output 5, \mathrm{CZ} on output 3, output 7, \mathrm{CZ} on output 3, output 9, \mathrm{CZ} on output 3, output 11, \mathrm{CZ} on output 3, output 12, \mathrm{CZ} on output 3, output 13, \mathrm{CZ} on output 3, output 16, \mathrm{CZ} on output 3, output 17, \mathrm{CZ} on output 3, output 18, \mathrm{CZ} on output 3, output 21, \mathrm{CZ} on output 3, output 22, \mathrm{CZ} on output 3, output 24, \mathrm{CZ} on output 3, output 26, \mathrm{CZ} on output 3, output 29, \mathrm{CZ} on output 3, output 30, \mathrm{CZ} on output 3, output 31, \mathrm{CZ} on output 3, output 32, \mathrm{CZ} on output 3, output 33, \mathrm{CZ} on output 3, output 34, \mathrm{CZ} on output 3, output 35, \mathrm{CZ} on output 3, output 36, \mathrm{CZ} on output 3, output 38, \mathrm{CZ} on output 3, output 43, \mathrm{CZ} on output 3, output 46, \mathrm{CZ} on output 3, output 48, \mathrm{CZ} on output 3, output 49, \mathrm{CZ} on output 3, output 50, \mathrm{CZ} on output 3, output 53, \mathrm{CZ} on output 3, output 55, \mathrm{CZ} on output 3, output 56, \mathrm{CZ} on output 3, output 58, \mathrm{CZ} on output 3, output 60, \mathrm{CZ} on output 3, output 62, \mathrm{CZ} on output 3, output 63, \mathrm{CZ} on output 3, output 68, \mathrm{CZ} on output 3, output 71, \mathrm{CZ} on output 3, output 73, \mathrm{CZ} on output 3, output 74, \mathrm{CZ} on output 3, output 76, \mathrm{CZ} on output 3, output 77, \mathrm{CZ} on output 3, output 78, \mathrm{CZ} on output 3, output 80, \mathrm{CZ} on output 3, check 82, \mathrm{CZ} on output 3, check 83, \mathrm{CZ} on output 3, check 84, \mathrm{CZ} on output 3, check 85, \mathrm{CZ} on output 3, check 86, \mathrm{CZ} on output 3, check 87, \mathrm{CZ} on output 3, check 88, \mathrm{CZ} on output 3, check 90, \mathrm{CZ} on output 3, check 91, \mathrm{CZ} on output 3, check 92, \mathrm{CZ} on output 3, check 94, \mathrm{CZ} on output 3, check 96, \mathrm{CZ} on output 4, output 5, \mathrm{CZ} on output 4, output 7, \mathrm{CZ} on output 4, output 9, \mathrm{CZ} on output 4, output 11, \mathrm{CZ} on output 4, output 12, \mathrm{CZ} on output 4, output 13, \mathrm{CZ} on output 4, output 16, \mathrm{CZ} on output 4, output 17, \mathrm{CZ} on output 4, output 18, \mathrm{CZ} on output 4, output 21, \mathrm{CZ} on output 4, output 22, \mathrm{CZ} on output 4, output 24, \mathrm{CZ} on output 4, output 26, \mathrm{CZ} on output 4, output 29, \mathrm{CZ} on output 4, output 30, \mathrm{CZ} on output 4, output 31, \mathrm{CZ} on output 4, output 32, \mathrm{CZ} on output 4, output 33, \mathrm{CZ} on output 4, output 34, \mathrm{CZ} on output 4, output 35, \mathrm{CZ} on output 4, output 36, \mathrm{CZ} on output 4, output 38, \mathrm{CZ} on output 4, output 43, \mathrm{CZ} on output 4, output 46, \mathrm{CZ} on output 4, output 48, \mathrm{CZ} on output 4, output 49, \mathrm{CZ} on output 4, output 50, \mathrm{CZ} on output 4, output 53, \mathrm{CZ} on output 4, output 55, \mathrm{CZ} on output 4, output 56, \mathrm{CZ} on output 4, output 58, \mathrm{CZ} on output 4, output 60, \mathrm{CZ} on output 4, output 62, \mathrm{CZ} on output 4, output 63, \mathrm{CZ} on output 4, output 68, \mathrm{CZ} on output 4, output 71, \mathrm{CZ} on output 4, output 73, \mathrm{CZ} on output 4, output 74, \mathrm{CZ} on output 4, output 76, \mathrm{CZ} on output 4, output 77, \mathrm{CZ} on output 4, output 78, \mathrm{CZ} on output 4, output 80, \mathrm{CZ} on output 4, check 82, \mathrm{CZ} on output 4, check 83, \mathrm{CZ} on output 4, check 84, \mathrm{CZ} on output 4, check 85, \mathrm{CZ} on output 4, check 86, \mathrm{CZ} on output 4, check 87, \mathrm{CZ} on output 4, check 88, \mathrm{CZ} on output 4, check 90, \mathrm{CZ} on output 4, check 91, \mathrm{CZ} on output 4, check 92, \mathrm{CZ} on output 4, check 94, \mathrm{CZ} on output 4, check 96, \mathrm{CZ} on output 5, output 7, \mathrm{CZ} on output 5, output 9, \mathrm{CZ} on output 5, output 11, \mathrm{CZ} on output 5, output 12, \mathrm{CZ} on output 5, output 13, \mathrm{CZ} on output 5, output 16, \mathrm{CZ} on output 5, output 17, \mathrm{CZ} on output 5, output 18, \mathrm{CZ} on output 5, output 21, \mathrm{CZ} on output 5, output 22, \mathrm{CZ} on output 5, output 24, \mathrm{CZ} on output 5, output 26, \mathrm{CZ} on output 5, output 29, \mathrm{CZ} on output 5, output 30, \mathrm{CZ} on output 5, output 31, \mathrm{CZ} on output 5, output 32, \mathrm{CZ} on output 5, output 33, \mathrm{CZ} on output 5, output 34, \mathrm{CZ} on output 5, output 35, \mathrm{CZ} on output 5, output 36, \mathrm{CZ} on output 5, output 38, \mathrm{CZ} on output 5, output 43, \mathrm{CZ} on output 5, output 46, \mathrm{CZ} on output 5, output 48, \mathrm{CZ} on output 5, output 49, \mathrm{CZ} on output 5, output 50, \mathrm{CZ} on output 5, output 53, \mathrm{CZ} on output 5, output 55, \mathrm{CZ} on output 5, output 56, \mathrm{CZ} on output 5, output 58, \mathrm{CZ} on output 5, output 60, \mathrm{CZ} on output 5, output 62, \mathrm{CZ} on output 5, output 63, \mathrm{CZ} on output 5, output 68, \mathrm{CZ} on output 5, output 71, \mathrm{CZ} on output 5, output 73, \mathrm{CZ} on output 5, output 74, \mathrm{CZ} on output 5, output 76, \mathrm{CZ} on output 5, output 77, \mathrm{CZ} on output 5, output 78, \mathrm{CZ} on output 5, output 80, \mathrm{CZ} on output 5, check 82, \mathrm{CZ} on output 5, check 83, \mathrm{CZ} on output 5, check 84, \mathrm{CZ} on output 5, check 85, \mathrm{CZ} on output 5, check 86, \mathrm{CZ} on output 5, check 87, \mathrm{CZ} on output 5, check 88, \mathrm{CZ} on output 5, check 90, \mathrm{CZ} on output 5, check 91, \mathrm{CZ} on output 5, check 92, \mathrm{CZ} on output 5, check 94, \mathrm{CZ} on output 5, check 96, \mathrm{CZ} on output 7, output 9, \mathrm{CZ} on output 7, output 11, \mathrm{CZ} on output 7, output 12, \mathrm{CZ} on output 7, output 13, \mathrm{CZ} on output 7, output 16, \mathrm{CZ} on output 7, output 17, \mathrm{CZ} on output 7, output 18, \mathrm{CZ} on output 7, output 21, \mathrm{CZ} on output 7, output 22, \mathrm{CZ} on output 7, output 24, \mathrm{CZ} on output 7, output 26, \mathrm{CZ} on output 7, output 29, \mathrm{CZ} on output 7, output 30, \mathrm{CZ} on output 7, output 31, \mathrm{CZ} on output 7, output 32, \mathrm{CZ} on output 7, output 33, \mathrm{CZ} on output 7, output 34, \mathrm{CZ} on output 7, output 35, \mathrm{CZ} on output 7, output 36, \mathrm{CZ} on output 7, output 38, \mathrm{CZ} on output 7, output 43, \mathrm{CZ} on output 7, output 46, \mathrm{CZ} on output 7, output 48, \mathrm{CZ} on output 7, output 49, \mathrm{CZ} on output 7, output 50, \mathrm{CZ} on output 7, output 53, \mathrm{CZ} on output 7, output 55, \mathrm{CZ} on output 7, output 56, \mathrm{CZ} on output 7, output 58, \mathrm{CZ} on output 7, output 60, \mathrm{CZ} on output 7, output 62, \mathrm{CZ} on output 7, output 63, \mathrm{CZ} on output 7, output 68, \mathrm{CZ} on output 7, output 71, \mathrm{CZ} on output 7, output 73, \mathrm{CZ} on output 7, output 74, \mathrm{CZ} on output 7, output 76, \mathrm{CZ} on output 7, output 77, \mathrm{CZ} on output 7, output 78, \mathrm{CZ} on output 7, output 80, \mathrm{CZ} on output 7, check 82, \mathrm{CZ} on output 7, check 83, \mathrm{CZ} on output 7, check 84, \mathrm{CZ} on output 7, check 85, \mathrm{CZ} on output 7, check 86, \mathrm{CZ} on output 7, check 87, \mathrm{CZ} on output 7, check 88, \mathrm{CZ} on output 7, check 90, \mathrm{CZ} on output 7, check 91, \mathrm{CZ} on output 7, check 92, \mathrm{CZ} on output 7, check 94, \mathrm{CZ} on output 7, check 96, \mathrm{CZ} on output 9, output 11, \mathrm{CZ} on output 9, output 12, \mathrm{CZ} on output 9, output 13, \mathrm{CZ} on output 9, output 16, \mathrm{CZ} on output 9, output 17, \mathrm{CZ} on output 9, output 18, \mathrm{CZ} on output 9, output 21, \mathrm{CZ} on output 9, output 22, \mathrm{CZ} on output 9, output 24, \mathrm{CZ} on output 9, output 26, \mathrm{CZ} on output 9, output 29, \mathrm{CZ} on output 9, output 30, \mathrm{CZ} on output 9, output 31, \mathrm{CZ} on output 9, output 32, \mathrm{CZ} on output 9, output 33, \mathrm{CZ} on output 9, output 34, \mathrm{CZ} on output 9, output 35, \mathrm{CZ} on output 9, output 36, \mathrm{CZ} on output 9, output 38, \mathrm{CZ} on output 9, output 43, \mathrm{CZ} on output 9, output 46, \mathrm{CZ} on output 9, output 48, \mathrm{CZ} on output 9, output 49, \mathrm{CZ} on output 9, output 50, \mathrm{CZ} on output 9, output 53, \mathrm{CZ} on output 9, output 55, \mathrm{CZ} on output 9, output 56, \mathrm{CZ} on output 9, output 58, \mathrm{CZ} on output 9, output 60, \mathrm{CZ} on output 9, output 62, \mathrm{CZ} on output 9, output 63, \mathrm{CZ} on output 9, output 68, \mathrm{CZ} on output 9, output 71, \mathrm{CZ} on output 9, output 73, \mathrm{CZ} on output 9, output 74, \mathrm{CZ} on output 9, output 76, \mathrm{CZ} on output 9, output 77, \mathrm{CZ} on output 9, output 78, \mathrm{CZ} on output 9, output 80, \mathrm{CZ} on output 9, check 82, \mathrm{CZ} on output 9, check 83, \mathrm{CZ} on output 9, check 84, \mathrm{CZ} on output 9, check 85, \mathrm{CZ} on output 9, check 86, \mathrm{CZ} on output 9, check 87, \mathrm{CZ} on output 9, check 88, \mathrm{CZ} on output 9, check 90, \mathrm{CZ} on output 9, check 91, \mathrm{CZ} on output 9, check 92, \mathrm{CZ} on output 9, check 94, \mathrm{CZ} on output 9, check 96, \mathrm{CZ} on output 11, output 12, \mathrm{CZ} on output 11, output 13, \mathrm{CZ} on output 11, output 16, \mathrm{CZ} on output 11, output 17, \mathrm{CZ} on output 11, output 18, \mathrm{CZ} on output 11, output 21, \mathrm{CZ} on output 11, output 22, \mathrm{CZ} on output 11, output 24, \mathrm{CZ} on output 11, output 26, \mathrm{CZ} on output 11, output 29, \mathrm{CZ} on output 11, output 30, \mathrm{CZ} on output 11, output 31, \mathrm{CZ} on output 11, output 32, \mathrm{CZ} on output 11, output 33, \mathrm{CZ} on output 11, output 34, \mathrm{CZ} on output 11, output 35, \mathrm{CZ} on output 11, output 36, \mathrm{CZ} on output 11, output 38, \mathrm{CZ} on output 11, output 43, \mathrm{CZ} on output 11, output 46, \mathrm{CZ} on output 11, output 48, \mathrm{CZ} on output 11, output 49, \mathrm{CZ} on output 11, output 50, \mathrm{CZ} on output 11, output 53, \mathrm{CZ} on output 11, output 55, \mathrm{CZ} on output 11, output 56, \mathrm{CZ} on output 11, output 58, \mathrm{CZ} on output 11, output 60, \mathrm{CZ} on output 11, output 62, \mathrm{CZ} on output 11, output 63, \mathrm{CZ} on output 11, output 68, \mathrm{CZ} on output 11, output 71, \mathrm{CZ} on output 11, output 73, \mathrm{CZ} on output 11, output 74, \mathrm{CZ} on output 11, output 76, \mathrm{CZ} on output 11, output 77, \mathrm{CZ} on output 11, output 78, \mathrm{CZ} on output 11, output 80, \mathrm{CZ} on output 11, check 82, \mathrm{CZ} on output 11, check 83, \mathrm{CZ} on output 11, check 84, \mathrm{CZ} on output 11, check 85, \mathrm{CZ} on output 11, check 86, \mathrm{CZ} on output 11, check 87, \mathrm{CZ} on output 11, check 88, \mathrm{CZ} on output 11, check 90, \mathrm{CZ} on output 11, check 91, \mathrm{CZ} on output 11, check 92, \mathrm{CZ} on output 11, check 94, \mathrm{CZ} on output 11, check 96, \mathrm{CZ} on output 12, output 13, \mathrm{CZ} on output 12, output 16, \mathrm{CZ} on output 12, output 17, \mathrm{CZ} on output 12, output 18, \mathrm{CZ} on output 12, output 21, \mathrm{CZ} on output 12, output 22, \mathrm{CZ} on output 12, output 24, \mathrm{CZ} on output 12, output 26, \mathrm{CZ} on output 12, output 29, \mathrm{CZ} on output 12, output 30, \mathrm{CZ} on output 12, output 31, \mathrm{CZ} on output 12, output 32, \mathrm{CZ} on output 12, output 33, \mathrm{CZ} on output 12, output 34, \mathrm{CZ} on output 12, output 35, \mathrm{CZ} on output 12, output 36, \mathrm{CZ} on output 12, output 38, \mathrm{CZ} on output 12, output 43, \mathrm{CZ} on output 12, output 46, \mathrm{CZ} on output 12, output 48, \mathrm{CZ} on output 12, output 49, \mathrm{CZ} on output 12, output 50, \mathrm{CZ} on output 12, output 53, \mathrm{CZ} on output 12, output 55, \mathrm{CZ} on output 12, output 56, \mathrm{CZ} on output 12, output 58, \mathrm{CZ} on output 12, output 60, \mathrm{CZ} on output 12, output 62, \mathrm{CZ} on output 12, output 63, \mathrm{CZ} on output 12, output 68, \mathrm{CZ} on output 12, output 71, \mathrm{CZ} on output 12, output 73, \mathrm{CZ} on output 12, output 74, \mathrm{CZ} on output 12, output 76, \mathrm{CZ} on output 12, output 77, \mathrm{CZ} on output 12, output 78, \mathrm{CZ} on output 12, output 80, \mathrm{CZ} on output 12, check 82, \mathrm{CZ} on output 12, check 83, \mathrm{CZ} on output 12, check 84, \mathrm{CZ} on output 12, check 85, \mathrm{CZ} on output 12, check 86, \mathrm{CZ} on output 12, check 87, \mathrm{CZ} on output 12, check 88, \mathrm{CZ} on output 12, check 90, \mathrm{CZ} on output 12, check 91, \mathrm{CZ} on output 12, check 92, \mathrm{CZ} on output 12, check 94, \mathrm{CZ} on output 12, check 96, \mathrm{CZ} on output 13, output 16, \mathrm{CZ} on output 13, output 17, \mathrm{CZ} on output 13, output 18, \mathrm{CZ} on output 13, output 21, \mathrm{CZ} on output 13, output 22, \mathrm{CZ} on output 13, output 24, \mathrm{CZ} on output 13, output 26, \mathrm{CZ} on output 13, output 29, \mathrm{CZ} on output 13, output 30, \mathrm{CZ} on output 13, output 31, \mathrm{CZ} on output 13, output 32, \mathrm{CZ} on output 13, output 33, \mathrm{CZ} on output 13, output 34, \mathrm{CZ} on output 13, output 35, \mathrm{CZ} on output 13, output 36, \mathrm{CZ} on output 13, output 38, \mathrm{CZ} on output 13, output 43, \mathrm{CZ} on output 13, output 46, \mathrm{CZ} on output 13, output 48, \mathrm{CZ} on output 13, output 49, \mathrm{CZ} on output 13, output 50, \mathrm{CZ} on output 13, output 53, \mathrm{CZ} on output 13, output 55, \mathrm{CZ} on output 13, output 56, \mathrm{CZ} on output 13, output 58, \mathrm{CZ} on output 13, output 60, \mathrm{CZ} on output 13, output 62, \mathrm{CZ} on output 13, output 63, \mathrm{CZ} on output 13, output 68, \mathrm{CZ} on output 13, output 71, \mathrm{CZ} on output 13, output 73, \mathrm{CZ} on output 13, output 74, \mathrm{CZ} on output 13, output 76, \mathrm{CZ} on output 13, output 77, \mathrm{CZ} on output 13, output 78, \mathrm{CZ} on output 13, output 80, \mathrm{CZ} on output 13, check 82, \mathrm{CZ} on output 13, check 83, \mathrm{CZ} on output 13, check 84, \mathrm{CZ} on output 13, check 85, \mathrm{CZ} on output 13, check 86, \mathrm{CZ} on output 13, check 87, \mathrm{CZ} on output 13, check 88, \mathrm{CZ} on output 13, check 90, \mathrm{CZ} on output 13, check 91, \mathrm{CZ} on output 13, check 92, \mathrm{CZ} on output 13, check 94, \mathrm{CZ} on output 13, check 96, \mathrm{CZ} on output 16, output 17, \mathrm{CZ} on output 16, output 18, \mathrm{CZ} on output 16, output 21, \mathrm{CZ} on output 16, output 22, \mathrm{CZ} on output 16, output 24, \mathrm{CZ} on output 16, output 26, \mathrm{CZ} on output 16, output 29, \mathrm{CZ} on output 16, output 30, \mathrm{CZ} on output 16, output 31, \mathrm{CZ} on output 16, output 32, \mathrm{CZ} on output 16, output 33, \mathrm{CZ} on output 16, output 34, \mathrm{CZ} on output 16, output 35, \mathrm{CZ} on output 16, output 36, \mathrm{CZ} on output 16, output 38, \mathrm{CZ} on output 16, output 43, \mathrm{CZ} on output 16, output 46, \mathrm{CZ} on output 16, output 48, \mathrm{CZ} on output 16, output 49, \mathrm{CZ} on output 16, output 50, \mathrm{CZ} on output 16, output 53, \mathrm{CZ} on output 16, output 55, \mathrm{CZ} on output 16, output 56, \mathrm{CZ} on output 16, output 58, \mathrm{CZ} on output 16, output 60, \mathrm{CZ} on output 16, output 62, \mathrm{CZ} on output 16, output 63, \mathrm{CZ} on output 16, output 68, \mathrm{CZ} on output 16, output 71, \mathrm{CZ} on output 16, output 73, \mathrm{CZ} on output 16, output 74, \mathrm{CZ} on output 16, output 76, \mathrm{CZ} on output 16, output 77, \mathrm{CZ} on output 16, output 78, \mathrm{CZ} on output 16, output 80, \mathrm{CZ} on output 16, check 82, \mathrm{CZ} on output 16, check 83, \mathrm{CZ} on output 16, check 84, \mathrm{CZ} on output 16, check 85, \mathrm{CZ} on output 16, check 86, \mathrm{CZ} on output 16, check 87, \mathrm{CZ} on output 16, check 88, \mathrm{CZ} on output 16, check 90, \mathrm{CZ} on output 16, check 91, \mathrm{CZ} on output 16, check 92, \mathrm{CZ} on output 16, check 94, \mathrm{CZ} on output 16, check 96, \mathrm{CZ} on output 17, output 18, \mathrm{CZ} on output 17, output 21, \mathrm{CZ} on output 17, output 22, \mathrm{CZ} on output 17, output 24, \mathrm{CZ} on output 17, output 26, \mathrm{CZ} on output 17, output 29, \mathrm{CZ} on output 17, output 30, \mathrm{CZ} on output 17, output 31, \mathrm{CZ} on output 17, output 32, \mathrm{CZ} on output 17, output 33, \mathrm{CZ} on output 17, output 34, \mathrm{CZ} on output 17, output 35, \mathrm{CZ} on output 17, output 36, \mathrm{CZ} on output 17, output 38, \mathrm{CZ} on output 17, output 43, \mathrm{CZ} on output 17, output 46, \mathrm{CZ} on output 17, output 48, \mathrm{CZ} on output 17, output 49, \mathrm{CZ} on output 17, output 50, \mathrm{CZ} on output 17, output 53, \mathrm{CZ} on output 17, output 55, \mathrm{CZ} on output 17, output 56, \mathrm{CZ} on output 17, output 58, \mathrm{CZ} on output 17, output 60, \mathrm{CZ} on output 17, output 62, \mathrm{CZ} on output 17, output 63, \mathrm{CZ} on output 17, output 68, \mathrm{CZ} on output 17, output 71, \mathrm{CZ} on output 17, output 73, \mathrm{CZ} on output 17, output 74, \mathrm{CZ} on output 17, output 76, \mathrm{CZ} on output 17, output 77, \mathrm{CZ} on output 17, output 78, \mathrm{CZ} on output 17, output 80, \mathrm{CZ} on output 17, check 82, \mathrm{CZ} on output 17, check 83, \mathrm{CZ} on output 17, check 84, \mathrm{CZ} on output 17, check 85, \mathrm{CZ} on output 17, check 86, \mathrm{CZ} on output 17, check 87, \mathrm{CZ} on output 17, check 88, \mathrm{CZ} on output 17, check 90, \mathrm{CZ} on output 17, check 91, \mathrm{CZ} on output 17, check 92, \mathrm{CZ} on output 17, check 94, \mathrm{CZ} on output 17, check 96, \mathrm{CZ} on output 18, output 21, \mathrm{CZ} on output 18, output 22, \mathrm{CZ} on output 18, output 24, \mathrm{CZ} on output 18, output 26, \mathrm{CZ} on output 18, output 29, \mathrm{CZ} on output 18, output 30, \mathrm{CZ} on output 18, output 31, \mathrm{CZ} on output 18, output 32, \mathrm{CZ} on output 18, output 33, \mathrm{CZ} on output 18, output 34, \mathrm{CZ} on output 18, output 35, \mathrm{CZ} on output 18, output 36, \mathrm{CZ} on output 18, output 38, \mathrm{CZ} on output 18, output 43, \mathrm{CZ} on output 18, output 46, \mathrm{CZ} on output 18, output 48, \mathrm{CZ} on output 18, output 49, \mathrm{CZ} on output 18, output 50, \mathrm{CZ} on output 18, output 53, \mathrm{CZ} on output 18, output 55, \mathrm{CZ} on output 18, output 56, \mathrm{CZ} on output 18, output 58, \mathrm{CZ} on output 18, output 60, \mathrm{CZ} on output 18, output 62, \mathrm{CZ} on output 18, output 63, \mathrm{CZ} on output 18, output 68, \mathrm{CZ} on output 18, output 71, \mathrm{CZ} on output 18, output 73, \mathrm{CZ} on output 18, output 74, \mathrm{CZ} on output 18, output 76, \mathrm{CZ} on output 18, output 77, \mathrm{CZ} on output 18, output 78, \mathrm{CZ} on output 18, output 80, \mathrm{CZ} on output 18, check 82, \mathrm{CZ} on output 18, check 83, \mathrm{CZ} on output 18, check 84, \mathrm{CZ} on output 18, check 85, \mathrm{CZ} on output 18, check 86, \mathrm{CZ} on output 18, check 87, \mathrm{CZ} on output 18, check 88, \mathrm{CZ} on output 18, check 90, \mathrm{CZ} on output 18, check 91, \mathrm{CZ} on output 18, check 92, \mathrm{CZ} on output 18, check 94, \mathrm{CZ} on output 18, check 96, \mathrm{CZ} on output 21, output 22, \mathrm{CZ} on output 21, output 24, \mathrm{CZ} on output 21, output 26, \mathrm{CZ} on output 21, output 29, \mathrm{CZ} on output 21, output 30, \mathrm{CZ} on output 21, output 31, \mathrm{CZ} on output 21, output 32, \mathrm{CZ} on output 21, output 33, \mathrm{CZ} on output 21, output 34, \mathrm{CZ} on output 21, output 35, \mathrm{CZ} on output 21, output 36, \mathrm{CZ} on output 21, output 38, \mathrm{CZ} on output 21, output 43, \mathrm{CZ} on output 21, output 46, \mathrm{CZ} on output 21, output 48, \mathrm{CZ} on output 21, output 49, \mathrm{CZ} on output 21, output 50, \mathrm{CZ} on output 21, output 53, \mathrm{CZ} on output 21, output 55, \mathrm{CZ} on output 21, output 56, \mathrm{CZ} on output 21, output 58, \mathrm{CZ} on output 21, output 60, \mathrm{CZ} on output 21, output 62, \mathrm{CZ} on output 21, output 63, \mathrm{CZ} on output 21, output 68, \mathrm{CZ} on output 21, output 71, \mathrm{CZ} on output 21, output 73, \mathrm{CZ} on output 21, output 74, \mathrm{CZ} on output 21, output 76, \mathrm{CZ} on output 21, output 77, \mathrm{CZ} on output 21, output 78, \mathrm{CZ} on output 21, output 80, \mathrm{CZ} on output 21, check 82, \mathrm{CZ} on output 21, check 83, \mathrm{CZ} on output 21, check 84, \mathrm{CZ} on output 21, check 85, \mathrm{CZ} on output 21, check 86, \mathrm{CZ} on output 21, check 87, \mathrm{CZ} on output 21, check 88, \mathrm{CZ} on output 21, check 90, \mathrm{CZ} on output 21, check 91, \mathrm{CZ} on output 21, check 92, \mathrm{CZ} on output 21, check 94, \mathrm{CZ} on output 21, check 96, \mathrm{CZ} on output 22, output 24, \mathrm{CZ} on output 22, output 26, \mathrm{CZ} on output 22, output 29, \mathrm{CZ} on output 22, output 30, \mathrm{CZ} on output 22, output 31, \mathrm{CZ} on output 22, output 32, \mathrm{CZ} on output 22, output 33, \mathrm{CZ} on output 22, output 34, \mathrm{CZ} on output 22, output 35, \mathrm{CZ} on output 22, output 36, \mathrm{CZ} on output 22, output 38, \mathrm{CZ} on output 22, output 43, \mathrm{CZ} on output 22, output 46, \mathrm{CZ} on output 22, output 48, \mathrm{CZ} on output 22, output 49, \mathrm{CZ} on output 22, output 50, \mathrm{CZ} on output 22, output 53, \mathrm{CZ} on output 22, output 55, \mathrm{CZ} on output 22, output 56, \mathrm{CZ} on output 22, output 58, \mathrm{CZ} on output 22, output 60, \mathrm{CZ} on output 22, output 62, \mathrm{CZ} on output 22, output 63, \mathrm{CZ} on output 22, output 68, \mathrm{CZ} on output 22, output 71, \mathrm{CZ} on output 22, output 73, \mathrm{CZ} on output 22, output 74, \mathrm{CZ} on output 22, output 76, \mathrm{CZ} on output 22, output 77, \mathrm{CZ} on output 22, output 78, \mathrm{CZ} on output 22, output 80, \mathrm{CZ} on output 22, check 82, \mathrm{CZ} on output 22, check 83, \mathrm{CZ} on output 22, check 84, \mathrm{CZ} on output 22, check 85, \mathrm{CZ} on output 22, check 86, \mathrm{CZ} on output 22, check 87, \mathrm{CZ} on output 22, check 88, \mathrm{CZ} on output 22, check 90, \mathrm{CZ} on output 22, check 91, \mathrm{CZ} on output 22, check 92, \mathrm{CZ} on output 22, check 94, \mathrm{CZ} on output 22, check 96, \mathrm{CZ} on output 24, output 26, \mathrm{CZ} on output 24, output 29, \mathrm{CZ} on output 24, output 30, \mathrm{CZ} on output 24, output 31, \mathrm{CZ} on output 24, output 32, \mathrm{CZ} on output 24, output 33, \mathrm{CZ} on output 24, output 34, \mathrm{CZ} on output 24, output 35, \mathrm{CZ} on output 24, output 36, \mathrm{CZ} on output 24, output 38, \mathrm{CZ} on output 24, output 43, \mathrm{CZ} on output 24, output 46, \mathrm{CZ} on output 24, output 48, \mathrm{CZ} on output 24, output 49, \mathrm{CZ} on output 24, output 50, \mathrm{CZ} on output 24, output 53, \mathrm{CZ} on output 24, output 55, \mathrm{CZ} on output 24, output 56, \mathrm{CZ} on output 24, output 58, \mathrm{CZ} on output 24, output 60, \mathrm{CZ} on output 24, output 62, \mathrm{CZ} on output 24, output 63, \mathrm{CZ} on output 24, output 68, \mathrm{CZ} on output 24, output 71, \mathrm{CZ} on output 24, output 73, \mathrm{CZ} on output 24, output 74, \mathrm{CZ} on output 24, output 76, \mathrm{CZ} on output 24, output 77, \mathrm{CZ} on output 24, output 78, \mathrm{CZ} on output 24, output 80, \mathrm{CZ} on output 24, check 82, \mathrm{CZ} on output 24, check 83, \mathrm{CZ} on output 24, check 84, \mathrm{CZ} on output 24, check 85, \mathrm{CZ} on output 24, check 86, \mathrm{CZ} on output 24, check 87, \mathrm{CZ} on output 24, check 88, \mathrm{CZ} on output 24, check 90, \mathrm{CZ} on output 24, check 91, \mathrm{CZ} on output 24, check 92, \mathrm{CZ} on output 24, check 94, \mathrm{CZ} on output 24, check 96, \mathrm{CZ} on output 26, output 29, \mathrm{CZ} on output 26, output 30, \mathrm{CZ} on output 26, output 31, \mathrm{CZ} on output 26, output 32, \mathrm{CZ} on output 26, output 33, \mathrm{CZ} on output 26, output 34, \mathrm{CZ} on output 26, output 35, \mathrm{CZ} on output 26, output 36, \mathrm{CZ} on output 26, output 38, \mathrm{CZ} on output 26, output 43, \mathrm{CZ} on output 26, output 46, \mathrm{CZ} on output 26, output 48, \mathrm{CZ} on output 26, output 49, \mathrm{CZ} on output 26, output 50, \mathrm{CZ} on output 26, output 53, \mathrm{CZ} on output 26, output 55, \mathrm{CZ} on output 26, output 56, \mathrm{CZ} on output 26, output 58, \mathrm{CZ} on output 26, output 60, \mathrm{CZ} on output 26, output 62, \mathrm{CZ} on output 26, output 63, \mathrm{CZ} on output 26, output 68, \mathrm{CZ} on output 26, output 71, \mathrm{CZ} on output 26, output 73, \mathrm{CZ} on output 26, output 74, \mathrm{CZ} on output 26, output 76, \mathrm{CZ} on output 26, output 77, \mathrm{CZ} on output 26, output 78, \mathrm{CZ} on output 26, output 80, \mathrm{CZ} on output 26, check 82, \mathrm{CZ} on output 26, check 83, \mathrm{CZ} on output 26, check 84, \mathrm{CZ} on output 26, check 85, \mathrm{CZ} on output 26, check 86, \mathrm{CZ} on output 26, check 87, \mathrm{CZ} on output 26, check 88, \mathrm{CZ} on output 26, check 90, \mathrm{CZ} on output 26, check 91, \mathrm{CZ} on output 26, check 92, \mathrm{CZ} on output 26, check 94, \mathrm{CZ} on output 26, check 96, \mathrm{CZ} on output 29, output 30, \mathrm{CZ} on output 29, output 31, \mathrm{CZ} on output 29, output 32, \mathrm{CZ} on output 29, output 33, \mathrm{CZ} on output 29, output 34, \mathrm{CZ} on output 29, output 35, \mathrm{CZ} on output 29, output 36, \mathrm{CZ} on output 29, output 38, \mathrm{CZ} on output 29, output 43, \mathrm{CZ} on output 29, output 46, \mathrm{CZ} on output 29, output 48, \mathrm{CZ} on output 29, output 49, \mathrm{CZ} on output 29, output 50, \mathrm{CZ} on output 29, output 53, \mathrm{CZ} on output 29, output 55, \mathrm{CZ} on output 29, output 56, \mathrm{CZ} on output 29, output 58, \mathrm{CZ} on output 29, output 60, \mathrm{CZ} on output 29, output 62, \mathrm{CZ} on output 29, output 63, \mathrm{CZ} on output 29, output 68, \mathrm{CZ} on output 29, output 71, \mathrm{CZ} on output 29, output 73, \mathrm{CZ} on output 29, output 74, \mathrm{CZ} on output 29, output 76, \mathrm{CZ} on output 29, output 77, \mathrm{CZ} on output 29, output 78, \mathrm{CZ} on output 29, output 80, \mathrm{CZ} on output 29, check 82, \mathrm{CZ} on output 29, check 83, \mathrm{CZ} on output 29, check 84, \mathrm{CZ} on output 29, check 85, \mathrm{CZ} on output 29, check 86, \mathrm{CZ} on output 29, check 87, \mathrm{CZ} on output 29, check 88, \mathrm{CZ} on output 29, check 90, \mathrm{CZ} on output 29, check 91, \mathrm{CZ} on output 29, check 92, \mathrm{CZ} on output 29, check 94, \mathrm{CZ} on output 29, check 96, \mathrm{CZ} on output 30, output 31, \mathrm{CZ} on output 30, output 32, \mathrm{CZ} on output 30, output 33, \mathrm{CZ} on output 30, output 34, \mathrm{CZ} on output 30, output 35, \mathrm{CZ} on output 30, output 36, \mathrm{CZ} on output 30, output 38, \mathrm{CZ} on output 30, output 43, \mathrm{CZ} on output 30, output 46, \mathrm{CZ} on output 30, output 48, \mathrm{CZ} on output 30, output 49, \mathrm{CZ} on output 30, output 50, \mathrm{CZ} on output 30, output 53, \mathrm{CZ} on output 30, output 55, \mathrm{CZ} on output 30, output 56, \mathrm{CZ} on output 30, output 58, \mathrm{CZ} on output 30, output 60, \mathrm{CZ} on output 30, output 62, \mathrm{CZ} on output 30, output 63, \mathrm{CZ} on output 30, output 68, \mathrm{CZ} on output 30, output 71, \mathrm{CZ} on output 30, output 73, \mathrm{CZ} on output 30, output 74, \mathrm{CZ} on output 30, output 76, \mathrm{CZ} on output 30, output 77, \mathrm{CZ} on output 30, output 78, \mathrm{CZ} on output 30, output 80, \mathrm{CZ} on output 30, check 82, \mathrm{CZ} on output 30, check 83, \mathrm{CZ} on output 30, check 84, \mathrm{CZ} on output 30, check 85, \mathrm{CZ} on output 30, check 86, \mathrm{CZ} on output 30, check 87, \mathrm{CZ} on output 30, check 88, \mathrm{CZ} on output 30, check 90, \mathrm{CZ} on output 30, check 91, \mathrm{CZ} on output 30, check 92, \mathrm{CZ} on output 30, check 94, \mathrm{CZ} on output 30, check 96, \mathrm{CZ} on output 31, output 32, \mathrm{CZ} on output 31, output 33, \mathrm{CZ} on output 31, output 34, \mathrm{CZ} on output 31, output 35, \mathrm{CZ} on output 31, output 36, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, output 43, \mathrm{CZ} on output 31, output 46, \mathrm{CZ} on output 31, output 48, \mathrm{CZ} on output 31, output 49, \mathrm{CZ} on output 31, output 50, \mathrm{CZ} on output 31, output 53, \mathrm{CZ} on output 31, output 55, \mathrm{CZ} on output 31, output 56, \mathrm{CZ} on output 31, output 58, \mathrm{CZ} on output 31, output 60, \mathrm{CZ} on output 31, output 62, \mathrm{CZ} on output 31, output 63, \mathrm{CZ} on output 31, output 68, \mathrm{CZ} on output 31, output 71, \mathrm{CZ} on output 31, output 73, \mathrm{CZ} on output 31, output 74, \mathrm{CZ} on output 31, output 76, \mathrm{CZ} on output 31, output 77, \mathrm{CZ} on output 31, output 78, \mathrm{CZ} on output 31, output 80, \mathrm{CZ} on output 31, check 82, \mathrm{CZ} on output 31, check 83, \mathrm{CZ} on output 31, check 84, \mathrm{CZ} on output 31, check 85, \mathrm{CZ} on output 31, check 86, \mathrm{CZ} on output 31, check 87, \mathrm{CZ} on output 31, check 88, \mathrm{CZ} on output 31, check 90, \mathrm{CZ} on output 31, check 91, \mathrm{CZ} on output 31, check 92, \mathrm{CZ} on output 31, check 94, \mathrm{CZ} on output 31, check 96, \mathrm{CZ} on output 32, output 33, \mathrm{CZ} on output 32, output 34, \mathrm{CZ} on output 32, output 35, \mathrm{CZ} on output 32, output 36, \mathrm{CZ} on output 32, output 38, \mathrm{CZ} on output 32, output 43, \mathrm{CZ} on output 32, output 46, \mathrm{CZ} on output 32, output 48, \mathrm{CZ} on output 32, output 49, \mathrm{CZ} on output 32, output 50, \mathrm{CZ} on output 32, output 53, \mathrm{CZ} on output 32, output 55, \mathrm{CZ} on output 32, output 56, \mathrm{CZ} on output 32, output 58, \mathrm{CZ} on output 32, output 60, \mathrm{CZ} on output 32, output 62, \mathrm{CZ} on output 32, output 63, \mathrm{CZ} on output 32, output 68, \mathrm{CZ} on output 32, output 71, \mathrm{CZ} on output 32, output 73, \mathrm{CZ} on output 32, output 74, \mathrm{CZ} on output 32, output 76, \mathrm{CZ} on output 32, output 77, \mathrm{CZ} on output 32, output 78, \mathrm{CZ} on output 32, output 80, \mathrm{CZ} on output 32, check 82, \mathrm{CZ} on output 32, check 83, \mathrm{CZ} on output 32, check 84, \mathrm{CZ} on output 32, check 85, \mathrm{CZ} on output 32, check 86, \mathrm{CZ} on output 32, check 87, \mathrm{CZ} on output 32, check 88, \mathrm{CZ} on output 32, check 90, \mathrm{CZ} on output 32, check 91, \mathrm{CZ} on output 32, check 92, \mathrm{CZ} on output 32, check 94, \mathrm{CZ} on output 32, check 96, \mathrm{CZ} on output 33, output 34, \mathrm{CZ} on output 33, output 35, \mathrm{CZ} on output 33, output 36, \mathrm{CZ} on output 33, output 38, \mathrm{CZ} on output 33, output 43, \mathrm{CZ} on output 33, output 46, \mathrm{CZ} on output 33, output 48, \mathrm{CZ} on output 33, output 49, \mathrm{CZ} on output 33, output 50, \mathrm{CZ} on output 33, output 53, \mathrm{CZ} on output 33, output 55, \mathrm{CZ} on output 33, output 56, \mathrm{CZ} on output 33, output 58, \mathrm{CZ} on output 33, output 60, \mathrm{CZ} on output 33, output 62, \mathrm{CZ} on output 33, output 63, \mathrm{CZ} on output 33, output 68, \mathrm{CZ} on output 33, output 71, \mathrm{CZ} on output 33, output 73, \mathrm{CZ} on output 33, output 74, \mathrm{CZ} on output 33, output 76, \mathrm{CZ} on output 33, output 77, \mathrm{CZ} on output 33, output 78, \mathrm{CZ} on output 33, output 80, \mathrm{CZ} on output 33, check 82, \mathrm{CZ} on output 33, check 83, \mathrm{CZ} on output 33, check 84, \mathrm{CZ} on output 33, check 85, \mathrm{CZ} on output 33, check 86, \mathrm{CZ} on output 33, check 87, \mathrm{CZ} on output 33, check 88, \mathrm{CZ} on output 33, check 90, \mathrm{CZ} on output 33, check 91, \mathrm{CZ} on output 33, check 92, \mathrm{CZ} on output 33, check 94, \mathrm{CZ} on output 33, check 96, \mathrm{CZ} on output 34, output 35, \mathrm{CZ} on output 34, output 36, \mathrm{CZ} on output 34, output 38, \mathrm{CZ} on output 34, output 43, \mathrm{CZ} on output 34, output 46, \mathrm{CZ} on output 34, output 48, \mathrm{CZ} on output 34, output 49, \mathrm{CZ} on output 34, output 50, \mathrm{CZ} on output 34, output 53, \mathrm{CZ} on output 34, output 55, \mathrm{CZ} on output 34, output 56, \mathrm{CZ} on output 34, output 58, \mathrm{CZ} on output 34, output 60, \mathrm{CZ} on output 34, output 62, \mathrm{CZ} on output 34, output 63, \mathrm{CZ} on output 34, output 68, \mathrm{CZ} on output 34, output 71, \mathrm{CZ} on output 34, output 73, \mathrm{CZ} on output 34, output 74, \mathrm{CZ} on output 34, output 76, \mathrm{CZ} on output 34, output 77, \mathrm{CZ} on output 34, output 78, \mathrm{CZ} on output 34, output 80, \mathrm{CZ} on output 34, check 82, \mathrm{CZ} on output 34, check 83, \mathrm{CZ} on output 34, check 84, \mathrm{CZ} on output 34, check 85, \mathrm{CZ} on output 34, check 86, \mathrm{CZ} on output 34, check 87, \mathrm{CZ} on output 34, check 88, \mathrm{CZ} on output 34, check 90, \mathrm{CZ} on output 34, check 91, \mathrm{CZ} on output 34, check 92, \mathrm{CZ} on output 34, check 94, \mathrm{CZ} on output 34, check 96, \mathrm{CZ} on output 35, output 36, \mathrm{CZ} on output 35, output 38, \mathrm{CZ} on output 35, output 43, \mathrm{CZ} on output 35, output 46, \mathrm{CZ} on output 35, output 48, \mathrm{CZ} on output 35, output 49, \mathrm{CZ} on output 35, output 50, \mathrm{CZ} on output 35, output 53, \mathrm{CZ} on output 35, output 55, \mathrm{CZ} on output 35, output 56, \mathrm{CZ} on output 35, output 58, \mathrm{CZ} on output 35, output 60, \mathrm{CZ} on output 35, output 62, \mathrm{CZ} on output 35, output 63, \mathrm{CZ} on output 35, output 68, \mathrm{CZ} on output 35, output 71, \mathrm{CZ} on output 35, output 73, \mathrm{CZ} on output 35, output 74, \mathrm{CZ} on output 35, output 76, \mathrm{CZ} on output 35, output 77, \mathrm{CZ} on output 35, output 78, \mathrm{CZ} on output 35, output 80, \mathrm{CZ} on output 35, check 82, \mathrm{CZ} on output 35, check 83, \mathrm{CZ} on output 35, check 84, \mathrm{CZ} on output 35, check 85, \mathrm{CZ} on output 35, check 86, \mathrm{CZ} on output 35, check 87, \mathrm{CZ} on output 35, check 88, \mathrm{CZ} on output 35, check 90, \mathrm{CZ} on output 35, check 91, \mathrm{CZ} on output 35, check 92, \mathrm{CZ} on output 35, check 94, \mathrm{CZ} on output 35, check 96, \mathrm{CZ} on output 36, output 38, \mathrm{CZ} on output 36, output 43, \mathrm{CZ} on output 36, output 46, \mathrm{CZ} on output 36, output 48, \mathrm{CZ} on output 36, output 49, \mathrm{CZ} on output 36, output 50, \mathrm{CZ} on output 36, output 53, \mathrm{CZ} on output 36, output 55, \mathrm{CZ} on output 36, output 56, \mathrm{CZ} on output 36, output 58, \mathrm{CZ} on output 36, output 60, \mathrm{CZ} on output 36, output 62, \mathrm{CZ} on output 36, output 63, \mathrm{CZ} on output 36, output 68, \mathrm{CZ} on output 36, output 71, \mathrm{CZ} on output 36, output 73, \mathrm{CZ} on output 36, output 74, \mathrm{CZ} on output 36, output 76, \mathrm{CZ} on output 36, output 77, \mathrm{CZ} on output 36, output 78, \mathrm{CZ} on output 36, output 80, \mathrm{CZ} on output 36, check 82, \mathrm{CZ} on output 36, check 83, \mathrm{CZ} on output 36, check 84, \mathrm{CZ} on output 36, check 85, \mathrm{CZ} on output 36, check 86, \mathrm{CZ} on output 36, check 87, \mathrm{CZ} on output 36, check 88, \mathrm{CZ} on output 36, check 90, \mathrm{CZ} on output 36, check 91, \mathrm{CZ} on output 36, check 92, \mathrm{CZ} on output 36, check 94, \mathrm{CZ} on output 36, check 96, \mathrm{CZ} on output 38, output 43, \mathrm{CZ} on output 38, output 46, \mathrm{CZ} on output 38, output 48, \mathrm{CZ} on output 38, output 49, \mathrm{CZ} on output 38, output 50, \mathrm{CZ} on output 38, output 53, \mathrm{CZ} on output 38, output 55, \mathrm{CZ} on output 38, output 56, \mathrm{CZ} on output 38, output 58, \mathrm{CZ} on output 38, output 60, \mathrm{CZ} on output 38, output 62, \mathrm{CZ} on output 38, output 63, \mathrm{CZ} on output 38, output 68, \mathrm{CZ} on output 38, output 71, \mathrm{CZ} on output 38, output 73, \mathrm{CZ} on output 38, output 74, \mathrm{CZ} on output 38, output 76, \mathrm{CZ} on output 38, output 77, \mathrm{CZ} on output 38, output 78, \mathrm{CZ} on output 38, output 80, \mathrm{CZ} on output 38, check 82, \mathrm{CZ} on output 38, check 83, \mathrm{CZ} on output 38, check 84, \mathrm{CZ} on output 38, check 85, \mathrm{CZ} on output 38, check 86, \mathrm{CZ} on output 38, check 87, \mathrm{CZ} on output 38, check 88, \mathrm{CZ} on output 38, check 90, \mathrm{CZ} on output 38, check 91, \mathrm{CZ} on output 38, check 92, \mathrm{CZ} on output 38, check 94, \mathrm{CZ} on output 38, check 96, \mathrm{CZ} on output 43, output 46, \mathrm{CZ} on output 43, output 48, \mathrm{CZ} on output 43, output 49, \mathrm{CZ} on output 43, output 50, \mathrm{CZ} on output 43, output 53, \mathrm{CZ} on output 43, output 55, \mathrm{CZ} on output 43, output 56, \mathrm{CZ} on output 43, output 58, \mathrm{CZ} on output 43, output 60, \mathrm{CZ} on output 43, output 62, \mathrm{CZ} on output 43, output 63, \mathrm{CZ} on output 43, output 68, \mathrm{CZ} on output 43, output 71, \mathrm{CZ} on output 43, output 73, \mathrm{CZ} on output 43, output 74, \mathrm{CZ} on output 43, output 76, \mathrm{CZ} on output 43, output 77, \mathrm{CZ} on output 43, output 78, \mathrm{CZ} on output 43, output 80, \mathrm{CZ} on output 43, check 82, \mathrm{CZ} on output 43, check 83, \mathrm{CZ} on output 43, check 84, \mathrm{CZ} on output 43, check 85, \mathrm{CZ} on output 43, check 86, \mathrm{CZ} on output 43, check 87, \mathrm{CZ} on output 43, check 88, \mathrm{CZ} on output 43, check 90, \mathrm{CZ} on output 43, check 91, \mathrm{CZ} on output 43, check 92, \mathrm{CZ} on output 43, check 94, \mathrm{CZ} on output 43, check 96, \mathrm{CZ} on output 46, output 48, \mathrm{CZ} on output 46, output 49, \mathrm{CZ} on output 46, output 50, \mathrm{CZ} on output 46, output 53, \mathrm{CZ} on output 46, output 55, \mathrm{CZ} on output 46, output 56, \mathrm{CZ} on output 46, output 58, \mathrm{CZ} on output 46, output 60, \mathrm{CZ} on output 46, output 62, \mathrm{CZ} on output 46, output 63, \mathrm{CZ} on output 46, output 68, \mathrm{CZ} on output 46, output 71, \mathrm{CZ} on output 46, output 73, \mathrm{CZ} on output 46, output 74, \mathrm{CZ} on output 46, output 76, \mathrm{CZ} on output 46, output 77, \mathrm{CZ} on output 46, output 78, \mathrm{CZ} on output 46, output 80, \mathrm{CZ} on output 46, check 82, \mathrm{CZ} on output 46, check 83, \mathrm{CZ} on output 46, check 84, \mathrm{CZ} on output 46, check 85, \mathrm{CZ} on output 46, check 86, \mathrm{CZ} on output 46, check 87, \mathrm{CZ} on output 46, check 88, \mathrm{CZ} on output 46, check 90, \mathrm{CZ} on output 46, check 91, \mathrm{CZ} on output 46, check 92, \mathrm{CZ} on output 46, check 94, \mathrm{CZ} on output 46, check 96, \mathrm{CZ} on output 48, output 49, \mathrm{CZ} on output 48, output 50, \mathrm{CZ} on output 48, output 53, \mathrm{CZ} on output 48, output 55, \mathrm{CZ} on output 48, output 56, \mathrm{CZ} on output 48, output 58, \mathrm{CZ} on output 48, output 60, \mathrm{CZ} on output 48, output 62, \mathrm{CZ} on output 48, output 63, \mathrm{CZ} on output 48, output 68, \mathrm{CZ} on output 48, output 71, \mathrm{CZ} on output 48, output 73, \mathrm{CZ} on output 48, output 74, \mathrm{CZ} on output 48, output 76, \mathrm{CZ} on output 48, output 77, \mathrm{CZ} on output 48, output 78, \mathrm{CZ} on output 48, output 80, \mathrm{CZ} on output 48, check 82, \mathrm{CZ} on output 48, check 83, \mathrm{CZ} on output 48, check 84, \mathrm{CZ} on output 48, check 85, \mathrm{CZ} on output 48, check 86, \mathrm{CZ} on output 48, check 87, \mathrm{CZ} on output 48, check 88, \mathrm{CZ} on output 48, check 90, \mathrm{CZ} on output 48, check 91, \mathrm{CZ} on output 48, check 92, \mathrm{CZ} on output 48, check 94, \mathrm{CZ} on output 48, check 96, \mathrm{CZ} on output 49, output 50, \mathrm{CZ} on output 49, output 53, \mathrm{CZ} on output 49, output 55, \mathrm{CZ} on output 49, output 56, \mathrm{CZ} on output 49, output 58, \mathrm{CZ} on output 49, output 60, \mathrm{CZ} on output 49, output 62, \mathrm{CZ} on output 49, output 63, \mathrm{CZ} on output 49, output 68, \mathrm{CZ} on output 49, output 71, \mathrm{CZ} on output 49, output 73, \mathrm{CZ} on output 49, output 74, \mathrm{CZ} on output 49, output 76, \mathrm{CZ} on output 49, output 77, \mathrm{CZ} on output 49, output 78, \mathrm{CZ} on output 49, output 80, \mathrm{CZ} on output 49, check 82, \mathrm{CZ} on output 49, check 83, \mathrm{CZ} on output 49, check 84, \mathrm{CZ} on output 49, check 85, \mathrm{CZ} on output 49, check 86, \mathrm{CZ} on output 49, check 87, \mathrm{CZ} on output 49, check 88, \mathrm{CZ} on output 49, check 90, \mathrm{CZ} on output 49, check 91, \mathrm{CZ} on output 49, check 92, \mathrm{CZ} on output 49, check 94, \mathrm{CZ} on output 49, check 96, \mathrm{CZ} on output 50, output 53, \mathrm{CZ} on output 50, output 55, \mathrm{CZ} on output 50, output 56, \mathrm{CZ} on output 50, output 58, \mathrm{CZ} on output 50, output 60, \mathrm{CZ} on output 50, output 62, \mathrm{CZ} on output 50, output 63, \mathrm{CZ} on output 50, output 68, \mathrm{CZ} on output 50, output 71, \mathrm{CZ} on output 50, output 73, \mathrm{CZ} on output 50, output 74, \mathrm{CZ} on output 50, output 76, \mathrm{CZ} on output 50, output 77, \mathrm{CZ} on output 50, output 78, \mathrm{CZ} on output 50, output 80, \mathrm{CZ} on output 50, check 82, \mathrm{CZ} on output 50, check 83, \mathrm{CZ} on output 50, check 84, \mathrm{CZ} on output 50, check 85, \mathrm{CZ} on output 50, check 86, \mathrm{CZ} on output 50, check 87, \mathrm{CZ} on output 50, check 88, \mathrm{CZ} on output 50, check 90, \mathrm{CZ} on output 50, check 91, \mathrm{CZ} on output 50, check 92, \mathrm{CZ} on output 50, check 94, \mathrm{CZ} on output 50, check 96, \mathrm{CZ} on output 53, output 55, \mathrm{CZ} on output 53, output 56, \mathrm{CZ} on output 53, output 58, \mathrm{CZ} on output 53, output 60, \mathrm{CZ} on output 53, output 62, \mathrm{CZ} on output 53, output 63, \mathrm{CZ} on output 53, output 68, \mathrm{CZ} on output 53, output 71, \mathrm{CZ} on output 53, output 73, \mathrm{CZ} on output 53, output 74, \mathrm{CZ} on output 53, output 76, \mathrm{CZ} on output 53, output 77, \mathrm{CZ} on output 53, output 78, \mathrm{CZ} on output 53, output 80, \mathrm{CZ} on output 53, check 82, \mathrm{CZ} on output 53, check 83, \mathrm{CZ} on output 53, check 84, \mathrm{CZ} on output 53, check 85, \mathrm{CZ} on output 53, check 86, \mathrm{CZ} on output 53, check 87, \mathrm{CZ} on output 53, check 88, \mathrm{CZ} on output 53, check 90, \mathrm{CZ} on output 53, check 91, \mathrm{CZ} on output 53, check 92, \mathrm{CZ} on output 53, check 94, \mathrm{CZ} on output 53, check 96, \mathrm{CZ} on output 55, output 56, \mathrm{CZ} on output 55, output 58, \mathrm{CZ} on output 55, output 60, \mathrm{CZ} on output 55, output 62, \mathrm{CZ} on output 55, output 63, \mathrm{CZ} on output 55, output 68, \mathrm{CZ} on output 55, output 71, \mathrm{CZ} on output 55, output 73, \mathrm{CZ} on output 55, output 74, \mathrm{CZ} on output 55, output 76, \mathrm{CZ} on output 55, output 77, \mathrm{CZ} on output 55, output 78, \mathrm{CZ} on output 55, output 80, \mathrm{CZ} on output 55, check 82, \mathrm{CZ} on output 55, check 83, \mathrm{CZ} on output 55, check 84, \mathrm{CZ} on output 55, check 85, \mathrm{CZ} on output 55, check 86, \mathrm{CZ} on output 55, check 87, \mathrm{CZ} on output 55, check 88, \mathrm{CZ} on output 55, check 90, \mathrm{CZ} on output 55, check 91, \mathrm{CZ} on output 55, check 92, \mathrm{CZ} on output 55, check 94, \mathrm{CZ} on output 55, check 96, \mathrm{CZ} on output 56, output 58, \mathrm{CZ} on output 56, output 60, \mathrm{CZ} on output 56, output 62, \mathrm{CZ} on output 56, output 63, \mathrm{CZ} on output 56, output 68, \mathrm{CZ} on output 56, output 71, \mathrm{CZ} on output 56, output 73, \mathrm{CZ} on output 56, output 74, \mathrm{CZ} on output 56, output 76, \mathrm{CZ} on output 56, output 77, \mathrm{CZ} on output 56, output 78, \mathrm{CZ} on output 56, output 80, \mathrm{CZ} on output 56, check 82, \mathrm{CZ} on output 56, check 83, \mathrm{CZ} on output 56, check 84, \mathrm{CZ} on output 56, check 85, \mathrm{CZ} on output 56, check 86, \mathrm{CZ} on output 56, check 87, \mathrm{CZ} on output 56, check 88, \mathrm{CZ} on output 56, check 90, \mathrm{CZ} on output 56, check 91, \mathrm{CZ} on output 56, check 92, \mathrm{CZ} on output 56, check 94, \mathrm{CZ} on output 56, check 96, \mathrm{CZ} on output 58, output 60, \mathrm{CZ} on output 58, output 62, \mathrm{CZ} on output 58, output 63, \mathrm{CZ} on output 58, output 68, \mathrm{CZ} on output 58, output 71, \mathrm{CZ} on output 58, output 73, \mathrm{CZ} on output 58, output 74, \mathrm{CZ} on output 58, output 76, \mathrm{CZ} on output 58, output 77, \mathrm{CZ} on output 58, output 78, \mathrm{CZ} on output 58, output 80, \mathrm{CZ} on output 58, check 82, \mathrm{CZ} on output 58, check 83, \mathrm{CZ} on output 58, check 84, \mathrm{CZ} on output 58, check 85, \mathrm{CZ} on output 58, check 86, \mathrm{CZ} on output 58, check 87, \mathrm{CZ} on output 58, check 88, \mathrm{CZ} on output 58, check 90, \mathrm{CZ} on output 58, check 91, \mathrm{CZ} on output 58, check 92, \mathrm{CZ} on output 58, check 94, \mathrm{CZ} on output 58, check 96, \mathrm{CZ} on output 60, output 62, \mathrm{CZ} on output 60, output 63, \mathrm{CZ} on output 60, output 68, \mathrm{CZ} on output 60, output 71, \mathrm{CZ} on output 60, output 73, \mathrm{CZ} on output 60, output 74, \mathrm{CZ} on output 60, output 76, \mathrm{CZ} on output 60, output 77, \mathrm{CZ} on output 60, output 78, \mathrm{CZ} on output 60, output 80, \mathrm{CZ} on output 60, check 82, \mathrm{CZ} on output 60, check 83, \mathrm{CZ} on output 60, check 84, \mathrm{CZ} on output 60, check 85, \mathrm{CZ} on output 60, check 86, \mathrm{CZ} on output 60, check 87, \mathrm{CZ} on output 60, check 88, \mathrm{CZ} on output 60, check 90, \mathrm{CZ} on output 60, check 91, \mathrm{CZ} on output 60, check 92, \mathrm{CZ} on output 60, check 94, \mathrm{CZ} on output 60, check 96, \mathrm{CZ} on output 62, output 63, \mathrm{CZ} on output 62, output 68, \mathrm{CZ} on output 62, output 71, \mathrm{CZ} on output 62, output 73, \mathrm{CZ} on output 62, output 74, \mathrm{CZ} on output 62, output 76, \mathrm{CZ} on output 62, output 77, \mathrm{CZ} on output 62, output 78, \mathrm{CZ} on output 62, output 80, \mathrm{CZ} on output 62, check 82, \mathrm{CZ} on output 62, check 83, \mathrm{CZ} on output 62, check 84, \mathrm{CZ} on output 62, check 85, \mathrm{CZ} on output 62, check 86, \mathrm{CZ} on output 62, check 87, \mathrm{CZ} on output 62, check 88, \mathrm{CZ} on output 62, check 90, \mathrm{CZ} on output 62, check 91, \mathrm{CZ} on output 62, check 92, \mathrm{CZ} on output 62, check 94, \mathrm{CZ} on output 62, check 96, \mathrm{CZ} on output 63, output 68, \mathrm{CZ} on output 63, output 71, \mathrm{CZ} on output 63, output 73, \mathrm{CZ} on output 63, output 74, \mathrm{CZ} on output 63, output 76, \mathrm{CZ} on output 63, output 77, \mathrm{CZ} on output 63, output 78, \mathrm{CZ} on output 63, output 80, \mathrm{CZ} on output 63, check 82, \mathrm{CZ} on output 63, check 83, \mathrm{CZ} on output 63, check 84, \mathrm{CZ} on output 63, check 85, \mathrm{CZ} on output 63, check 86, \mathrm{CZ} on output 63, check 87, \mathrm{CZ} on output 63, check 88, \mathrm{CZ} on output 63, check 90, \mathrm{CZ} on output 63, check 91, \mathrm{CZ} on output 63, check 92, \mathrm{CZ} on output 63, check 94, \mathrm{CZ} on output 63, check 96, \mathrm{CZ} on output 68, output 71, \mathrm{CZ} on output 68, output 73, \mathrm{CZ} on output 68, output 74, \mathrm{CZ} on output 68, output 76, \mathrm{CZ} on output 68, output 77, \mathrm{CZ} on output 68, output 78, \mathrm{CZ} on output 68, output 80, \mathrm{CZ} on output 68, check 82, \mathrm{CZ} on output 68, check 83, \mathrm{CZ} on output 68, check 84, \mathrm{CZ} on output 68, check 85, \mathrm{CZ} on output 68, check 86, \mathrm{CZ} on output 68, check 87, \mathrm{CZ} on output 68, check 88, \mathrm{CZ} on output 68, check 90, \mathrm{CZ} on output 68, check 91, \mathrm{CZ} on output 68, check 92, \mathrm{CZ} on output 68, check 94, \mathrm{CZ} on output 68, check 96, \mathrm{CZ} on output 71, output 73, \mathrm{CZ} on output 71, output 74, \mathrm{CZ} on output 71, output 76, \mathrm{CZ} on output 71, output 77, \mathrm{CZ} on output 71, output 78, \mathrm{CZ} on output 71, output 80, \mathrm{CZ} on output 71, check 82, \mathrm{CZ} on output 71, check 83, \mathrm{CZ} on output 71, check 84, \mathrm{CZ} on output 71, check 85, \mathrm{CZ} on output 71, check 86, \mathrm{CZ} on output 71, check 87, \mathrm{CZ} on output 71, check 88, \mathrm{CZ} on output 71, check 90, \mathrm{CZ} on output 71, check 91, \mathrm{CZ} on output 71, check 92, \mathrm{CZ} on output 71, check 94, \mathrm{CZ} on output 71, check 96, \mathrm{CZ} on output 73, output 74, \mathrm{CZ} on output 73, output 76, \mathrm{CZ} on output 73, output 77, \mathrm{CZ} on output 73, output 78, \mathrm{CZ} on output 73, output 80, \mathrm{CZ} on output 73, check 82, \mathrm{CZ} on output 73, check 83, \mathrm{CZ} on output 73, check 84, \mathrm{CZ} on output 73, check 85, \mathrm{CZ} on output 73, check 86, \mathrm{CZ} on output 73, check 87, \mathrm{CZ} on output 73, check 88, \mathrm{CZ} on output 73, check 90, \mathrm{CZ} on output 73, check 91, \mathrm{CZ} on output 73, check 92, \mathrm{CZ} on output 73, check 94, \mathrm{CZ} on output 73, check 96, \mathrm{CZ} on output 74, output 76, \mathrm{CZ} on output 74, output 77, \mathrm{CZ} on output 74, output 78, \mathrm{CZ} on output 74, output 80, \mathrm{CZ} on output 74, check 82, \mathrm{CZ} on output 74, check 83, \mathrm{CZ} on output 74, check 84, \mathrm{CZ} on output 74, check 85, \mathrm{CZ} on output 74, check 86, \mathrm{CZ} on output 74, check 87, \mathrm{CZ} on output 74, check 88, \mathrm{CZ} on output 74, check 90, \mathrm{CZ} on output 74, check 91, \mathrm{CZ} on output 74, check 92, \mathrm{CZ} on output 74, check 94, \mathrm{CZ} on output 74, check 96, \mathrm{CZ} on output 76, output 77, \mathrm{CZ} on output 76, output 78, \mathrm{CZ} on output 76, output 80, \mathrm{CZ} on output 76, check 82, \mathrm{CZ} on output 76, check 83, \mathrm{CZ} on output 76, check 84, \mathrm{CZ} on output 76, check 85, \mathrm{CZ} on output 76, check 86, \mathrm{CZ} on output 76, check 87, \mathrm{CZ} on output 76, check 88, \mathrm{CZ} on output 76, check 90, \mathrm{CZ} on output 76, check 91, \mathrm{CZ} on output 76, check 92, \mathrm{CZ} on output 76, check 94, \mathrm{CZ} on output 76, check 96, \mathrm{CZ} on output 77, output 78, \mathrm{CZ} on output 77, output 80, \mathrm{CZ} on output 77, check 82, \mathrm{CZ} on output 77, check 83, \mathrm{CZ} on output 77, check 84, \mathrm{CZ} on output 77, check 85, \mathrm{CZ} on output 77, check 86, \mathrm{CZ} on output 77, check 87, \mathrm{CZ} on output 77, check 88, \mathrm{CZ} on output 77, check 90, \mathrm{CZ} on output 77, check 91, \mathrm{CZ} on output 77, check 92, \mathrm{CZ} on output 77, check 94, \mathrm{CZ} on output 77, check 96, \mathrm{CZ} on output 78, output 80, \mathrm{CZ} on output 78, check 82, \mathrm{CZ} on output 78, check 83, \mathrm{CZ} on output 78, check 84, \mathrm{CZ} on output 78, check 85, \mathrm{CZ} on output 78, check 86, \mathrm{CZ} on output 78, check 87, \mathrm{CZ} on output 78, check 88, \mathrm{CZ} on output 78, check 90, \mathrm{CZ} on output 78, check 91, \mathrm{CZ} on output 78, check 92, \mathrm{CZ} on output 78, check 94, \mathrm{CZ} on output 78, check 96, \mathrm{CZ} on output 80, check 82, \mathrm{CZ} on output 80, check 83, \mathrm{CZ} on output 80, check 84, \mathrm{CZ} on output 80, check 85, \mathrm{CZ} on output 80, check 86, \mathrm{CZ} on output 80, check 87, \mathrm{CZ} on output 80, check 88, \mathrm{CZ} on output 80, check 90, \mathrm{CZ} on output 80, check 91, \mathrm{CZ} on output 80, check 92, \mathrm{CZ} on output 80, check 94, \mathrm{CZ} on output 80, check 96, \mathrm{CZ} on check 82, check 83, \mathrm{CZ} on check 82, check 84, \mathrm{CZ} on check 82, check 85, \mathrm{CZ} on check 82, check 86, \mathrm{CZ} on check 82, check 87, \mathrm{CZ} on check 82, check 88, \mathrm{CZ} on check 82, check 90, \mathrm{CZ} on check 82, check 91, \mathrm{CZ} on check 82, check 92, \mathrm{CZ} on check 82, check 94, \mathrm{CZ} on check 82, check 96, \mathrm{CZ} on check 83, check 84, \mathrm{CZ} on check 83, check 85, \mathrm{CZ} on check 83, check 86, \mathrm{CZ} on check 83, check 87, \mathrm{CZ} on check 83, check 88, \mathrm{CZ} on check 83, check 90, \mathrm{CZ} on check 83, check 91, \mathrm{CZ} on check 83, check 92, \mathrm{CZ} on check 83, check 94, \mathrm{CZ} on check 83, check 96, \mathrm{CZ} on check 84, check 85, \mathrm{CZ} on check 84, check 86, \mathrm{CZ} on check 84, check 87, \mathrm{CZ} on check 84, check 88, \mathrm{CZ} on check 84, check 90, \mathrm{CZ} on check 84, check 91, \mathrm{CZ} on check 84, check 92, \mathrm{CZ} on check 84, check 94, \mathrm{CZ} on check 84, check 96, \mathrm{CZ} on check 85, check 86, \mathrm{CZ} on check 85, check 87, \mathrm{CZ} on check 85, check 88, \mathrm{CZ} on check 85, check 90, \mathrm{CZ} on check 85, check 91, \mathrm{CZ} on check 85, check 92, \mathrm{CZ} on check 85, check 94, \mathrm{CZ} on check 85, check 96, \mathrm{CZ} on check 86, check 87, \mathrm{CZ} on check 86, check 88, \mathrm{CZ} on check 86, check 90, \mathrm{CZ} on check 86, check 91, \mathrm{CZ} on check 86, check 92, \mathrm{CZ} on check 86, check 94, \mathrm{CZ} on check 86, check 96, \mathrm{CZ} on check 87, check 88, \mathrm{CZ} on check 87, check 90, \mathrm{CZ} on check 87, check 91, \mathrm{CZ} on check 87, check 92, \mathrm{CZ} on check 87, check 94, \mathrm{CZ} on check 87, check 96, \mathrm{CZ} on check 88, check 90, \mathrm{CZ} on check 88, check 91, \mathrm{CZ} on check 88, check 92, \mathrm{CZ} on check 88, check 94, \mathrm{CZ} on check 88, check 96, \mathrm{CZ} on check 90, check 91, \mathrm{CZ} on check 90, check 92, \mathrm{CZ} on check 90, check 94, \mathrm{CZ} on check 90, check 96, \mathrm{CZ} on check 91, check 92, \mathrm{CZ} on check 91, check 94, \mathrm{CZ} on check 91, check 96, \mathrm{CZ} on check 92, check 94, \mathrm{CZ} on check 92, check 96, \mathrm{CZ} on check 94, check 96

Or no Clifford gate at all: run \mathrm{T}^3 on rotations 6, 7, 11, 14, 18, 31, 32, 33, 34, 35, 41, 45, 47, 57, 59, 62, 65, 75, 77, 79, 80, 81, 82, 84 and 156 more (listed below); \mathrm{T}^5 on rotations 2, 3, 8, 10, 13, 22, 23, 24, 26, 30, 38, 55, 56, 61, 63, 69, 71, 85, 89, 110, 113, 116, 117, 126 and 6 more (listed below); \mathrm{T}^\dagger on rotations 0, 5, 9, 15, 16, 17, 19, 39, 46, 58, 70, 72, 96, 108, 112, 118, 120, 128, 138, 141, 152, 178, 187, 216 and 2 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 180 rotations at T³

6, 7, 11, 14, 18, 31, 32, 33, 34, 35, 41, 45, 47, 57, 59, 62, 65, 75, 77, 79, 80, 81, 82, 84, 86, 87, 88, 92, 97, 98, 99, 102, 103, 104, 105, 114, 115, 121, 123, 125, 127, 129, 130, 131, 133, 137, 139, 142, 143, 146, 150, 151, 156, 158, 159, 163, 164, 166, 169, 170, 172, 175, 176, 179, 180, 181, 182, 183, 186, 189, 193, 200, 203, 204, 205, 208, 209, 212, 213, 215, 219, 222, 224, 226, 229, 230, 233, 234, 235, 236, 237, 244, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 263, 267, 268, 271, 273, 274, 275, 277, 281, 282, 283, 285, 287, 288, 289, 290, 291, 293, 294, 296, 297, 298, 300, 301, 302, 309, 311, 312, 313, 314, 317, 319, 321, 326, 328, 331, 333, 334, 335, 336, 337, 342, 343, 351, 355, 356, 357, 360, 362, 366, 367, 370, 371, 372, 375, 376, 377, 378, 380, 381, 385, 394, 395, 396, 399, 400, 401, 402, 404, 409, 410, 411, 412, 416, 417, 424, 427, 428

All 30 rotations at T⁵

2, 3, 8, 10, 13, 22, 23, 24, 26, 30, 38, 55, 56, 61, 63, 69, 71, 85, 89, 110, 113, 116, 117, 126, 145, 168, 171, 214, 217, 318

All 26 rotations at T†

0, 5, 9, 15, 16, 17, 19, 39, 46, 58, 70, 72, 96, 108, 112, 118, 120, 128, 138, 141, 152, 178, 187, 216, 221, 238

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/429.81.4.a.json"
record = json.load(urllib.request.urlopen(url))
k = record["parameters"]["k"]
gates = equivalent_gates(k, record["gate"]["monomials"])
lines = sorted(name(g, k) for g in gates)
print(len(lines), "equivalent gates")
with open("equivalent-gates-429.81.4.a.txt", "w") as out:
    out.write("\n".join(lines) + "\n")

Distance

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

Exactly 8,343 faults of weight 4 are undetectable and damaging, so A_{4}=8{,}343. If each rotation fails independently with probability p, an accepted run has a damaged output with probability A_{4}\,p^{4}+O(p^{5}).

A damaging fault of weight 4 sits on columns [0,2,136,150].

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

a paired-column contraction of an existing triorthogonal code, 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): contraction of an existing code

Discovery: AI search

1 recorded source

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_429_81_4_0ac160565659.json",
  "label": "paired_column_contraction_429_81_4_0ac160565659",
  "N": 101,
  "d": 4,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_429_81_4_0ac160565659 (source catalogue id paired_column_contraction_429_81_4_0ac160565659); construction: Existing triorthogonal code with physical paired-column contraction; matrix 0ac1605656590f2a...; the release states d=4 (exact), gamma=1.2024919173074606 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/0ac1605656590f2a62dfad582e857055a918beab2e0602856f8d6ff69f71f498.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/429.81.4.a.json"
record = json.load(urllib.request.urlopen(url))
columns = record["circuit"]["columns"]
k, N = record["parameters"]["k"], record["parameters"]["N"]

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

Raw record

Show the JSON this page is built from

Source: master_catalog.json, factories[1049].

[\![429,\,81,\,4]\!] factory