Magic State Factory Catalog

[\![409,\,101,\,3]\!] factory

\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}_{}\cdots

distance, proved here
d=3
error coefficient
A_{3}=1{,}585
\gamma_\rho
1.2731
V_{\mathrm{ex}}
101
wires
N=114
Clifford correction
none with T powers
found by
AI search pure T

The circuit

The 114\times409 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
out 0 (159)··1··11··1·······11··1······1··11···1···1····11··11111·111··1·1·111··11··1····1···11·111·1·1·1···1·······1··1···1······1·11·1·····1·1··1····1·1··1····1··1··11··1·1·1·111111···1······1·11·1··1··1·11··11···1·1··111··1·····11·1····1···11·1···1···11·11·111·111··11·111·11·1······1·11·111·11··1·1·········1··1··1·····1··11·1·····1·11···1····1··1·1·······1···1····11·111·1111··11··1·······1·11·1··1··1·11·11··1···1·
out 1 (167)··1··11··11······11··1···1··1111·1···111·11·1·1····1··1···1·····11···11··1···11······1·11···1··1··1·1···11·1·1··1······1111·1·····1·1····1·1··1····111···1·11·····1·1·1111111··1·11······111·1·1··1···1··1·1·111·111··1·1···11·1···11·111·1·111·111·1····1··1···1····11··11·1····1·1····1·11···1·1··1····1·11·1·1·1·····11·11·1·····1·1······1·1···1···111··1····1···11···11·1111··111·1··11······1111···1·1··1··11·1··11
out 2 (151)··1···11·11····1·······1·1····11······11··1·11··11·11·111········11··11··11··1··1·11····11·1···1··11····1··111···1····11··111··11·1··1·····11····1······1···11·········1·1·1···1·1·1·····111··1··1111·11···1··1··1·11·1·1·······1··1···11····11··111·11··11·111·······11·11·1·1··1··111····111···1··1···1··1··111···1··11···111··11·1···1······11····1··········1·····11······1·1···1··1··1·1·····111··1··111111··1····1·
out 3 (141)1·1···1···········1····1·1····1········1··1·111·11·11··11·····1··1···1····1··1··1·11····11····11··1·····1··11··1·1··1··11·1111··1·1··1···1·11····1·1········1···1···1··111·1···1·1·1······11·11··111··11···1····11·1·········1··1··1···1······1··111111··11··11····1··1··1····1··1··111····11····1··1······1··11·1··1···11··1111··1·1···1····1·11·1··1·1··············1··1·1··111···1··1··1·1······111·1··111·11··1······
out 4 (173)1·1··111··1·····1·1·1··11····111·1···111·11··11··111·11·11··1·1·111··11···11·1··1··1···11·····11··1······1··11·11···1·1·111··1·11····11··1·1··1·······111···11··1·1·1·11·····1··1·111····11····1···11··11···1···11111··11··1·11·11····111·1·111·11·11·11·1·11·11··11·111·11···11·1··1·1···11·····1··1·······1··1111····1·1·11··1·11·····11···1·1···1·········11·1·····11·111·11·······1··1·111····11·····1··11·11··1·····
out 5 (151)··1···11·11·····111·11··1···11·111··11·111··11··11··1··11·····1··1···11··1·1··1··11··111····11···1·1····11·11····1····11··11···1····1·11·1····1·······1·····1···1······1··1··1······1···11·1·1·1··111·11·········1·11·1·1··11111·1··1·1·11111·111·11·11···1··11····1··1··11·1··1···1·1··111····11·1·····1··11·11····1··11···11···1····1··1·1·1·····1·········1········1··1····1····1··1······1···11·11···1·11111·········
out 6 (141)··1··111·········1···1···1··1··11···11·11····11··11·11··11······111··1········1···11·11··1··111··1·1·····1··11··1···1·11·11·1··1··1·1··1····11···1·········11···1·1···11·111···1········1····11··1·1···11···1····1111·······1··1···11···11·11·11···11·11··11··11·····111·1·········1·11·11··1··11·1·····1···1··11·1····11··11·1··1··1·1····1····1····1···············11··11··11·1··11··1·········1···1·1··1·1··11··1·····
out 7 (165)1·1··111·11·····1·1·1··11····111·11··11··11··1···111·11111······11···11··111····1·······1··1··11··1·········1··11···1··1111··1·11····11··1·········1··1111·11·····1·1·111···11··1··11·1···1····1···11··11··11·1·11111·1·1··1·11·11····111·1·11··11·1··11·1·11111·····11··11·1·11····1······1·1···1··1··········1·11·····11·11··1·11·····11···1·········1·····11·11···11···11·111·····11··1··11·1···1·····1··11·11·11···1·
out 8 (45)·······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 9 (159)··1··11··11······11··1···1··111··1···11··11·1·1·1··1··11··1···1·11···1···1··111····1·1·11···1··1··1·1···11·1·1··1······1111·1·····1·1······1·······111·····111····1···11111·1··1·1·······111·1·1··1···1··1·1·111·111··1·1···11·1···11·11··1·11··111·11···1··11··1··1·11··1··1····1·1··1·1·11···1·1··1····1·11·1·1·1·····11·11·1·····1·1········1·······11···1········111··1··1111··1·1·1··1·······1111···1·1··1··11·1··11
out 10 (141)··1··111·11······1···1···1··1··11···1···1····11··11·11··11·······1···1········1···11·11··1·1·11··1·1·····1··11··1···1··1111·1··1··1·1··1····1·1··1·········11·····1···11·111···1········11·1·11··1·1···11···1····1111·1·1···1··1···11···11·1···1···11·11··11··11······1··1·········1·11·11··11··1·1·····1···1··11·1·····11·11·1··1··1·1····1····1··1·1···············11·1·1··11·1··11··1·········11·11·1··1·1··11··1·····
out 11 (157)··1···1··11·····11··11··1···11··11··11·111··111·11·111·11···1·1··11··11····1··1···1··11····1111··1·1····11·111···1··1·11··11········1·11······1····1·······11··········11·1··1··1···1·1·1··1···1··111·11······1··1·1··1·1··11·11·1··1·1··1111·111·11111··111·11···11··11·11····1···1·1··11···1·11·1·····1··11·111···1··11···11········1··1·1·······1···1·······1·····11·······11···1··1··1···1·1·1··1····1·11111·······1·
out 12 (151)1·1···11···············1·1····11······1···1·11··11··1·111···1·1··11···1··11··1··1··1···111·1···1··1·····1··111·1·1·····11·1111·11·1··1·····11·1··1····1·1··11······1···1·1·1···1···1··1··111··1··111··11···1··1·11·11···········1··1···11····1···111·11···1·111···11··11··1·1·1··1··1·1···1111···1··1······1··1111··1···11··1111·11·1···1······11··1·1·······1··1····11·······1·1···1··1····1··1··111··1··111·11··1····1·
out 13 (157)··1···1··11·····11··11··1···1·1·······11··1···1···111111·11·1····1···1···1·1··1···1··1··11·1··11··1·1····1·······1··1·11··11········1·1··1·11····1··1·11·1·111··1···1··1··1··1··1···1····111·11··1··1···11·11111·1·1··1·1··11·11·1··1··1·····11··1··1··1111111·11·1···1··1··1··1···1·1··1··111···1··1····1··1·······1··11···11········1··1···1·11····1··1····11··1···111·1·1··1····1··1··1···1····1111·1··1··1··11111··11
out 14 (173)1······1········11··11·111··1··1·······1····11··1111·111111·1·1···1···1···11··1·1·1··1·····11·11···11···1··111·1····1·······11·11·1·111··1····1····111·1···1·1··1···1····11111·11·111····1·1·1····11··1111·111·11···1······11·1111·11···1·····1···11·111·1·111111·11···1··1···11···111··1····1·1·1······11·1··1111············11·11·1·1·11···1·····1···11···1·1······1·1·1·1····1··11111·1·111····1·111····11·1111111···1
out 15 (53)·······1··········1····················1···········1········1·1···1···1··1·1···········1···1··1··············1······1··········1··············1·······1····1·1··1···1···1·············1··1···1················1·····1········1················1··········1········11···1··1·1··1··········1··1··················1················1·················1·········1·······1·1·1·1···1··1············1··1··1·················1·
out 16 (165)··1··111·········1···1···1··1111·1···11··11·1···1··1··11··1·1···111··1···1···11····1·1··1···1·111·111···11·1·1··1···1·11·11·1··1··1·1····1·1········11······1···1·1···1111111··1·1····1··111··11··1·1·1··1·1·111·1111·······1··1···11·111·1·11··111··1···1··11··1·1··111·1··1····1·1··1·1··1···1·1··1···11·11·1·1·1····11··11·1··1··1·1······1·1········1···1·········1··11··1111··111·1··1····1··111··1·1·1·11··11·1··11
out 17 (159)··1··11··11·····1·1·1··11·······1···1···1···1·1·1··1···11·1·1···11···11···11·1··1··1··1··1··11···1··1···11·1·1··1······1111··1·11····111·1··1·1··1·111··1·1·1·····1·1·11·····1··1·111···1·····1··11···1··1·1·111·111··1·1··1·11·11·······1·1···1··1·11···1···11·1·1··11··11···11·1··1·1··1··1··11·1······1·11·1·1·1·····11·11··1·11·····11·1·1··1··1·1·11···1···1·····1···11·11·······1··1·111···1·····1··11··1··11·1··11
out 18 (149)··1···1·········11··11··1···1·11······1···1···1···1··11··11·1····11··11··1·1·11······1·111·11·11··1·1····11··1···1··1··11·11········1·1····11·1··1··11·····111·········1··1·11··11··1·1··11··11··1··1···11·1·1·1·1·1·······11·11·1··1··11····1···1··1··1···11··11·1···11·11·1··1·1·1····1·1111·1·1··1····1··1···1···1···11··11········1··1·····11··1·1··1···1········111······1····1·11··11··1·1··11·1·1··1··1··111·1···1
out 19 (141)·····1····1·····1·1·1··111···1·1·1···1·1·1··1···1·11·111·1··1·1·1········1·1······1····1·1·1··1····1····11·1····11··1·1··1·11·····1···1·····1····1·1····1·······1·1·1·1··1·1·1·1111·1······1··11·11···1·1··11·1···1·····1··1·11·11·1··1·1·1·1·1·1·1··1·1·1·111·1··11·1······1··1·····1····1·11··········1··11·1···1·1··1···1·11·····11···1······1····1·1········1········111·1··1···1·11·111·1······1··1·111··1·1·11···1·
out 20 (157)··1··111·11······1···1···1··1··11···1···1····1···1·111·111··1···11···11··1····1···11·11··1·1·11··1·1·····1··11··1···1··1111·1··1··1·1··1····1·1··1·1··1··1··1·····1·1·111111···1········11·1·11··1·1···11···1····1111·1·1···1··1···11···11·1···1···1··1··111·111··1··11··11·1······1·11·11··11··1·1·····1···1··11·1·····11·11·1··1··1·1····1····1··1·1·1···1·1···1····1···11·1111··11··1·········11·11·1··1·1··11··1·····
out 21 (143)1·1···11········11··11··1···111·11··11··11··11··11··1···1········11··11····1··1····1·11····1·1···1······1··111·1·1·····11·11········1·111·············1··1··11·········11·1··1··111·1·1·1····1·1··11··11···1··1·11·11······11·11·1··1·11·1111··11·11·11···1···1·······11·11····1···1··1·11···1··1·1········1··1111··1···11··11········1··1·1·················1···1····11······11···1··1··111·1·1·1···1···1·11·11··1····1·
out 22 (141)··1···1·········11··11··1···11··11··11·111··111·11··1··11········11··11····1··1···1··11····1111··1······11·111···1··1··11·11········1·11······1····1··1·····11·········11·1··1··1···1·1·1··1···1···1··11······1··1·1·······11·11·1··1·1··1111·111·11111···1··11·······11·11····1···1·1··11···1·11·1···1····11·111···1···11··11········1··1·1·······1···1·····1········11······11···1··1··1···1·1·1··1····1··1·11·······1·
out 23 (77)·······1··········1····················1······1··1·1··11····1·1···1···1··1···1····11···1···1··1··············1······1··········1··············1····1··1·11·1·1··1···1···1···1····11···1··1···1················1·····1········1················1·····1·1··1··11····11···1··1·1····1···11···1··1··················1················1·················1···1··1··1··11···1·1·1·1···1·····1····11···1··1··1·················1·
out 24 (167)··1··11··11······11··1···1··1111·1···111·11···1·1·····11··1···1·111··1·······11······1·11···1··1··1·1···11·1·1··1······1111·1·····1·1····1·1··1···11111····111··1·1···11·1111··1·11······111·1·1··1···1··1·1·111·111··1·1···11·1···11·111·1·111·11··11······11··1··1·111·1·······1·1····1·11···1·1··1····1·11·1·1·1·····11·11·1·····1·1······1·1···1···11···11·······111·11··11·1··111·1··11······1111···1·1··1··11·1··11
out 25 (149)··1··111·11······1···1···1··1··11···1···1····11··11·11··11··1·1·111··1········1···11·111····111··1·1·····1··11··1···1··1111·1··1··1·1··1····1·1··1··········11··1·1···11·111···1······111····11··1·1···11···1····1111·1·1···1··1···11···11·1···1···11·11··11··11··11·111·1·········1·11·111····11·1·····1···1··11·1·····11·11·1··1··1·1····1····1··1·1················11·11··11·1··11··1·······1·1···1·1··1·1··11··1·····
out 26 (151)··1···11··········1····1·1····1·······1···1·111·11····1·1···1····11··1···11·····1····1··11·1···1··11····11·11····1·····11·1111··1·1··1···1·11·1··1·1··1111·111······1··1·1·11··1··11·····111··1··1111·11·········1·11········1··1··1···1·····1···111111·····1·1···1···11·1··1·1·····1···1··111···1··1···1··11·11····1···11··1111··1·1···1····1·11··1·1·1·····11·11···111···1··1·1···11·1···11·1···111··1··111111·········
out 27 (79)1········11·······1····················1···········11··1···11·1···1······1·········1···1···11······1·····1···1·1······1·1······1··············1·······11·1·1·1··1·······1·········1···1··1·1········1······1··1·1·····1·1····1················1··········11··1···111···1····1·········1···1··1·1········1···1···11·····1·1·······1·················1·········11··1··11·1·1·····1···········1···1··1·1········1····1····1·
out 28 (149)··1···1·········11··11··1···1·11······11··11··1···11·111·11·1·1··1···1·····1·11······1··11··1·11··1·1····1·······1··1··11·11········1·1····11·······111··1·11···1···1··11·1·11··11··1·····1··11··1··1···11·11111·1·1·······11·11·1··1··11····11··1··1··1·1·111·11·11··1··1·····1·1·1····1··11··1·1··1····1··1·······1···11··11········1··1·····11·······1···11···1···11··1·1··11···1·11··11··1·····1·1·1··1··1··11111··11
out 29 (165)··1···1··1··1···11··11··1···1·11······1···1···1···11·111·11·1····11··1·····1·11······1·111·11·11··1·1····1·······1··1·111111········1·1····11·1··1··111··1·111······1··11·1·11··11··1·1··11··11··1··1···11·11111·1·1··1····11·11·1··1··11····1···1··1··1·1·111·11·1···11·1·····1·1·1····1·1111·1·1··1····1··1·······1··111·111········1··1·····11··1·1··1···11···1···111···1··11···1·11··11··1·1··11·1·1··1··1··11111··11
out 30 (151)··1···11·11·······1····1·1····1·······1···1·111·11··1···1···1·1··1···11···1··1··1·1·····11··1··1··11····11·11····1····11··1111··1·1··1···1·11·1··1·1··1··1·11···1······11111···1·111······1···1··1111·11·········1·11·1·1····1··1··1···1·····1···111111···1···1···11··1··11···1·11··11·····11··1·1··1···1··11·11····1··11···1111··1·1···1····1·11··1·1·1·····1···1···11··1····111··11··1··111······1···1··111111·········
out 31 (151)1····111·········1···1·1····11·1·1···1·1·1···11··1·11·1·1·1·1·1·1········11··11·1·1··1···1··1······11·······11·111·1··1·11·1·1··1···11······1····1·1111·········1·1·1·1···1········1··1··1···111·1·11··1·1·1·1111·111·······1··11···1·1·1·1·1·1·1··11·1··11·1·1·1·11·1······1·1··1·111··1···1··1········11·····1111·1··1·1·1·1·1··1···1·1·······1····1·11···11···········111·1·····1········1··1··1··1·1·11·11·1·11·1··11
out 32 (181)1······1·11·····11··11·111··1··1·······1····11··111111·1111·1·11··1···1··111·11·1·11·1·1······1·····1···11·111·1····1·1·1···11·11·1·111··1····1····111··1··1·11·1···1···1111·1·11··11·1······1····111·1111··11·11···1·1·1··11·1111·11···1·····1···11·111·111·1111·111··1··1·1·11·1·1111·1·1··············1·11·1111·····1·1····11·11·1·1·11···1·····1···11···1···1····1·1·1·1···11··11·11·1··11·1·····1·····1111111·11···1
out 33 (159)··1···11········111·11··1···11··11··11··11··111·11·11··11···1·1··1···1···1·1·11····1·111····11···1·····11··111···1·····11·11···1····1·11···········1·······11···1···1··1··1·11··111·1···11·1·1·1··11··11·1·1··1··1·11······11111·1··1·1··1111··11·11111··11··11···11··1··1··1··1·1·1··1·111····11·1········1··111···1···11··11···1····1··1·1···········1·············11··1·1··1····1·11··111·1···11·11···1·11·11·11····1·
out 34 (143)1····1·1·11······11··1·1····11···1···1·1·1···1···1····1·1·1···1·1··1··1··11···1·1··1·1···1·11·······1····1··1··111·······1·1·1·11···11···1··1····1··11·1···1····111···1···1·1····111··1······111·1·1···1·1···1·11·1·1·1·1···11·11···1·1···1·1·1·1··1··1·····1·1·1··1·1··1·1·1·1····11·1·1···11·1·········1··1··1·11·1······1·1·1·11···1·1····1··1····1··1···1·1······1···11··1·····1·1····111··1·····1·1·11·1··1·1··1···1
out 35 (149)··1···1·········11··11··1···1·11······1···1···1···1··11··11·1·1··1···1·····1·11······1·111·11·11··111·1··1·······1··1··11·11········1·1····11·1··1··11·····11···1···1··11·1·11··11··1·1··11··11··1·······1·11111·1·1·······11·11·1··1··11····1···1··1··1···11··11·11··1··1·····1·1·1····1·1111·1·1··1···11··1·······1···11··11········1··1·····11··1·1··1···1········11··1·1··11···1·11··11··1·1··11·1·1··1······1111··11
out 36 (159)··1···11········111·11··1···1·1·······1···1·······1·11···11···1··11··11····1·11·1·11·1·111·11··1··1·1····1···1···1·····11·11···1····1·1··1·11·1··1·111·11···1··········11·1·11··1·1·1·1··11···1··1··1···11·111·1·1·11······11111·1··1··1·····1···1·····1··11···11··1··11·11····1·1·1111·1·1111·1·1··1····1··1···1···1···11··11···1····1··1···1·11··1·1·11···1·1·1·····1·······11···1·11·11·1·1·1··11···1··1··1··11111···1
out 37 (159)1·1··11··11······1···1···1··1111·1···11··11·1···1··11·1···1·1···11···11··1····1······1··1······1·11·1···11·1···11······1111·1··1··1·1····1·1········11·1·1··1·····1·1·111111···1·11···1··11··1·1··1···1··1·1·1·11111··1·1···1··1···11·111·1·11··111··1···11·1···1·1··11··11·1······1····1··1·····11·1····1·11·1··11·····11·11·1··1··1·1······1·1········1···1·1··1····1···11·1111··11··1··11···1··11·1··11·1··1··11·1···1
out 38 (149)1····1···11·····1···1···11···1·1·1···1·1·1··1···1·1··11··1······1·1···11···1·1····11·····1····1····1····11·1···111··1····1·11··1··1···1·····1····1·1··1·11·1·1····1··11·11·111·111··1·1··1·1··11·11···1·1··11·1·1·1···1·1··1··1··1·1··1·1·1·1·1·1·1··1·1···11··1·····1·1··1····1·1···11·····1···········1··11·1··11·1······1·11··1··1····1······1····1·1·····1··11···1·1··1·11·11···1111·11··1·1··1·1··1·111··1·1·11···1·
out 39 (173)1······1·11·····11··11·111··1··1·······1····11··111111·1111·1·····1···1··111·11·1····1········1·····1···1··11··1····1·1·1···11·11·1·111··1····1····111··1··1····1···1···1111·1·111111·····1··1····111·1111·111111···1·1·1··11·1111·11···1·····1···11·111·111·1111·1····1··1·1·11·1·11···1·····1··········1·1··11·1·····1·1····11·11·1·1·11···1·····1···11···1···1····1···1·1···11··11·11·11111·····1·1·····1111111111··11
out 40 (159)···1··············1··········11111··111·111·11··111·111·111·1·1···1··········1····11··1·11·111·1·11·1···1··111···1·············1·······1···11·1··1·1111··1·1·1··1···········1····11···1·1·1··111·1111·1111·111·1·············1········11111111·11111·111··111·111·11···1·········1···11··1·111·1111·1····1·1··111···1············1·········1···11··1·1·11···11···1···1·1·1···········1····11···1·1·1·1·1·111111111111···1
out 41 (125)·1···1···11·····1···1···11···1···1···1···1··1·1·1·1··1···1····1·1·1···1····1·······1···1·1··1·1····1····1··1·1···1··1····1·11··1··1···1··1··1·1··1····1··1·1······1···1·11·1·1·11···1····1····11·11···1·1···1·····1···1·1··1··1··1·1··1···1·1···1·1·11·1···1···1···1·1·1··1····1······1···1·1··1········1··1··1·1···1······1·11··1··1····1···1··1··1·1·······1···1···1····1··1·11···1·11·1···1····1····1·111··1·1··1·····
out 42 (159)··1···11·11·····111·11··1···1·1·······1···1·······1··11··11·1····11··11··1·1·11····1·1·111·····1··1·1····1···1···1····11··11···1····1·1··1·11·1··1·111·····111········11··1·11··111·1·1···11··1··1··1···11·111·1·1·11·1·1··11111·1··1··1·····1···1·····1···11··11·1···11·1111··1·1·1··1·1·111····1··1····1··1···1···1··11···11···1····1··1···1·11··1·1·11···1········111·····11····1·11··111·1·1···11··1··1··1··11111···1
out 43 (127)·····1·1········1···1···11···1·1·1···1·1·1··1···1·1··1··········1·····1····1·······1·····1··1···········1··1····11····1·11·11··1··1···1·····1····1·1··1··1·1·1··1·1···1·11·1·1·11···1·1··1···111·11·1·1·1···1·1···1·1······1··1··1·1··1·1·1·1·1·1·1··1·1···1·········1····1····1······1·····1··1···········1··1···1·1··1·1·1·11··1··1····1······1····1·1·····1···11··1·1·11··1·11···1·11·1···1·1··1··1·1·111·11·1··1···1·
out 44 (157)··1···1··11·····111111··1···1·1·······11··1·······1·111··11···1··1···11····1··1····1·1·111·11·11··1·1········1···1··1·11··11···11···1·1··1·11····1·111·1····1···1······11·1··1··111·1·1··11··11··1··1···11··11·1·1·1··1·1··11111·1··1··1·····11··1·····1··111··11··1··1··11····1···1··1·1·1111·1·1··1····1······1···1··11···11···11···1··1···1·11····1·11···1·1·······1··1····11···1··1··111·1·1··11·1·1··1··1··11·11···1
out 45 (151)·········11··················11·11··111·111·111·11111111111·······1···1······1····1···1111··11·1·11·1···1··11·········1·1··············1·1·11·1··1··11··········1···1·······1····1······111··111··111·1111·11111······1·1·············11·11111·111111111·11111111······1··1······1···1···1111··1111·11···1·1··11·······1·1·················1·1·11··1·1··1···1············1·1·········1····1······111·1·1·1·1111111111··11
out 46 (125)·····1···11·····1·1·1···11···1·1·1···1···1··1···1·11·1·1·1··1·1·1·1······1·1·······1···1·1····1·········1··1·1··11··1····1·11·····1···1·····1·1··1·1··············1·1·1····1·1·11···1····1·1··11·11·1·1·1···1·····1···1·1··1·11··1·1··1·1·1·1···1·1··1·1·1·1·1·1··11·1·1····11·1······1···1·1··············1··1·1·1·1······1·11·····1····1······1··1·1·1··················11·1······1·11·1···1····1·1··1·111·11·1··1·····
out 47 (165)··1··111·11·····1···1··11····111·1···11··11··11··111·11111··1···11···11··111·1··1·······1··11·11··1·1·······1···1···1··1111··1··1····11··1·1··········1111··1·····1·1·111····1··1··11·1···11···1···111·11··11·1··1111·1·1··1··1·11····111·1·11··11·11·11·1·11111··1··11··11·1·11·1··1······1·1·1·1··1····1·····1··1·····11·11··1··1·····11···1·1·············11·11····1···11·111······1··1··11·1···11····1··11·11·11···1·
out 48 (159)1····1·1·11·····1·1·1···11····111···1·1·1·1··11··1····111·1···1·1·1···1·1··1··········111··111·1·11·1····1··1··111·······1·11·····1···11·1·1·······111·1·1·1······1···1111·1·1·11·1·1·1·1111·······1···1·1···1·11·1·1·1·1··1·11··1·1···111·1·1·1·1·11·1·····111·1··1·1·1··1····1·········111·1·1111·1····1··1··1·11·1······1·11·····1····1·1·1·1·······11···1·1··1···1····1··1111···1·11·1·1·1·1·1111·······1··1·1··1···1
out 49 (159)1···············111·11·111··111111··111·111···1····1··1·······1···1···1···11·11·1··1·11111·11··1·11··········1·1············11··1·1·1111···11·1··1·1··1·1····1··1···1····111·1·111·11···1·1·1111·1············1·1··········1111111·11·11111111·111··1····1··1······1···1··1···11·1·11·1·111111·1·11·1···········11············11··1·1·1·11·1···11··1·1·1·····1··1······1·1·1····1··11·11·11·11···1·1·1·1·11············1·
out 50 (141)1····1···11·····1···1···11···1·1·1···1··11··1···1·1··1·1·1······1·1········1·1···········1····1····1····11·1···111··1····1·11··1··1···1·····1·1··1·1··1····1·1····1·1·1·11·111·11·1·1·1··1·1··11·11···1·1··11·1·1·1···1·1··1··1··1·1··1·1·1·1··11·1··1·1···1·1·1·····1·1·······1·1··········1···········1··11·1··11·1······1·11··1··1····1······1··111·1·····1·······1·1··11·1·11···1111·1·1·1·1··1·1··1·111··1·1·11···1·
out 51 (157)·····1···11·····1·1·1···11····1·1···1·111·1··1···1·11·1·1·1·1···1·1···1··1·1·1····11··111···1111·1111·······1···11··1····1·11·····1···11···1··1·····111······1····1···1··1·11··111··1·1·1·11·1·····11··1·1·1·1·1··1···1·1··1·11··1·1···1·1·1·111·1·1··1··11·1·1·1·1··1·1··1·1··1·11··11··111···1111·1···11·····1··1·1······1·11·····1····1·1···1···1····1···11·········1··1··1··1···11·1·11··1·1·1·111······11·1·11·1···1
out 52 (127)·····1·1··1······1···1·1·····1···1···1·1·1···1···1··1···1·1·····1·····1··11··11·1····1···1··········1····1··1···11····1··1·1·1··1···11···1··1····1··11··1··1·1··1·1···1···1······1·1··1··1·1·111·1·1···1·1···1·1··1·1···1···1··11·····1···1·1·1·1··1··1···1···1·1····1····1·1·1··1·11···1···1············1··1··1··1·1··1···1·1·1··1···1·1·1··1··1····1··1···1···1····1·1·11··1·····1······1·1··1··1·11·1·11·1··1·1··1···1
out 53 (125)·····1··········1·1·1···11···1···1···1·1·1··1·1·1·1··1·1·1······1·····1··1·1·············1·1··1············1····11··1·1·11·11·····1···1··1··1····1····1····1·1··1·1···1··1·1·1·11·1·1·1····1··11·11·1·1·1·1·1·1···1········1·11··1·1··1···1·1·1·1·1·11·1···1·1·1·····1····1·1··1············11················1···1·1··1·1·1·11·····1····1···1··1····1·······1·······1·1·11··1··1···1·11·1·1·1·1····1··1·111·11·1··1···1·
out 54 (143)················11··11·111··1···············111·111·111·111···1···1···1··111·11·1·11·1·············11···11·1111·············11·11·1·111·············111··1···1··1···1···1111·1·11··11·············11··1111··11·············11·1111·11·············111111··111·111··1···1··1·1·11·1·1111·1···············11·11·111·············11·11·1·1·11··············1···11···1·····1·1·1···11··11·11·1··11·············11·1111·11····
out 55 (125)·····1····1·····1·1·1···11·1·1·1·1···1·1·1··1···1·11·1···1··1·1·1········1·1·······1···1·1·1··1····1····1··1·1··11··1·1··1·11·····1·········1····1·1·····1······1·1·1·1··1·1·1·11···1······1··11·11···1·1···1·····1·····1··1·11··1·1··1·1·1·1·1·1·1··1·1·1·1···1··11·1······1··1······1···1·11··········1··1··1·1·1·1··1···1·11·····1···········1····1·1·········1·······111·1··1···1·11·1···1······1··1·111··1·1··1·····
out 56 (165)1·1···1··11·····111·11··1···1·1·······11··1···1···1·11·1·11···1··11··11····1·11···1··1·111·1··11··111········1·1·1··1·11··11···1····1·11·1·11····1··11·111··1··········11·1·11··1···1·1··111·11··1······11··11·111·1··1·1··11111·1··11·1·····11··1··1··1··11·1·11··1··11·11····1·1·1·1··1·1111···1··1···11······11··1··11···11···1····1··1·1·1·11····1··1···1·1·11····1·······11···1·11··1···1·1··1111·1··1·····11·11···1
out 57 (173)1······1·11·····11··11·111··1···1······1····11··1111111·111·1·····1···1··111·11·1····1·1······1·····1···11·111·1····1·1·1···11·11·1·111·······1····111···1·1····1···1···1111·1·111111·1······1····111·1111··11·11···1·1·1··11·1111·11····1····1···11·111·1111·111·1····1··1·1·11·1·11···1·1··············1·11·1111·····1·1····11·11·1·1·11····1····1···11···1····1···1···1·1···11··11·11·11111·1·····1·····1111111·11···1
out 58 (157)··1··111·11······1···1···1··111··1···111·11·1·1·1·····11··1·····11···11······11····1·1·11··1··11··111···11·1····1···1··1111·1··1··1·1······1··1····1111····11·····1·1·11·1111··1·1········1····1··1·1····1·1·1·1·1111·1·1···1··1···11·11··1·111·111·11······11··1····11··11······1·1··1·1·11·1···1··1···11111·1···1·····11·11·1··1··1·1········1···1···11···11·······11···11·11·1··111·1··1········1·····1·1·1···11·1···1
out 59 (167)1····11··········11··1···1··1111·1···111·11·1···1···1··1··1···1·111··1·······11······1·11···1··1··1·1···11·1·1·11·····11·11·1·····1·1····1·1··1·····11111··111··1·1···11·1111··1·11······111·1·1··1···1··1·1·1111·11········11·1···11·111·1·111·111··1····1··1··1··1·111·1·······1·1····1·11···1·1··1····1·11·1·1111···11··11·1·····1·1······1·1···1····1···111·1····111·11··11·1··111·1··11······1111···1·1··1··11·1··11
out 60 (149)·····1···11······11··1·1····1·111···1·1·1·1·1···1·1·111··1······1·1···1······11·1··1·11·1····111·11·····1··1·1··11··1····1·1·1·11···11·1·1·1·······1··1111·1·1····1···1·1·1······111····1·1··1····1·1·1·1···1·····1···1·1···11·11···1··111·1·1·1·11··1·1··111··1·····1·1··1······1·11·1·11·1····111·1······1··1·1·1·1······1·1·1·11···1·1··1·1·1·······1·····11·11···1·1··1··1·1·1·1······111····1·1·1·····1·11·1··1·····
out 61 (157)·······1········111·11·111··1··1············11··1111·11111····1···1···1···11·11·1·1··1·····11·1····11···1··11·······1·······11··1·1·111··1·········111·1·····1··1···1····111·1·11·111····1·1·1····11··1111·11111····1······1111111·11···1·········11·111·1·11111···1···1··1···11·1·111··1····1·1········11·1··11··············11··1·1·1·11···1·········11···1·1····1···1·1·1····1··11·11·1·111····1·11·····11·1111111··11
out 62 (125)·····1···11·····1·1·1···11···1·1·1···1···1··1···1·11·1·1·1··1···1·1········1·············1····1····1····1··1····11··1····1·11·····1···1·····1·1··1·1·········1····1·1·1·11·1·1·11·1·1·1··1·1··1··11···1·1···1·1···1···1·1··1·11··1·1··1·1·1·1···1·1··1·1·1·1·1·1··1··1·1·······1············1······1····1··1··1···1·1······1·11·····1····1······1··1·1·1···············1··11·1·11···1·11·1·1·1·1··1·1··1··11··1·1··1···1·
out 63 (151)················1·1·11·111··1··1·······1····11··1111·111111·1············111··1·1·1··1·1····1······11···11·11···············11··1·1·111··1····1····111·1···1············111111·11·111·1····1······11··1111··1111···········1·11111·11···1·····1···11·111·1·111111·1·········1·11···111··1·1····1········11·11·11··············111·1·1·1·11···1·····1···11···1·1······1·········11··11111·1·111·1····1······11·1111·11··11
out 64 (151)··1···11·11·······1····1·1····11······11··1·111111··1·1·1···1····1···1····1··1··1·······11··1··1··11····11·11····1····11··1111··1·1··1·····11····1·11·1·11·111··1···1··111·1···1··11······1···1··1111·11·········1·11·1·1····1··1··1···11····11··111111···1·1·1···1···1··1····1··1··1······11··1·1··1···1··11·11····1··11···1111··1·1···1······11····1·11····1··11···111·1·1··111···1··1···11······1···1··111111·········
out 65 (141)1····1···11······1···1·1····11···1···1···1···1···1·1··1·1·1·····111······11··11·1·1··1·1·1··1·1·····1····1··11·111··1····1·1·1··1···11···1··1·1··1··1111···1·1·1··1·1·1···1········1·····1····11·1·1···1·1···1111·1···1·1···1··11···1·1···1·1···1··1··1··1··1·1·1····111····1·1··1·111··1·1·1··1·········1··1··1111·1······1·1·1··1···1·1····1··1··1·1··1···111······1·1··11·1·····1········1·····1····1·11·1··1·1··1··11
out 66 (157)·····1···11·····1·1·1···11····111···1·1·1·1··11··1······1·1···1·1·····1····1·1····1···111··1·111·1111····1··1···11··1····1·11·····1···11·1·1·······111·11··1····1·1···1·11·111·1111·1·1·111··1·····11··1·1·····1··1···1·1··1·11··1·1···111·1·1·1·1·11·1·······1·1··1·1····1····1·1···1···111·1··111·1···11··11·1··1·1······1·11·····1····1·1·1·1·······11···1·1·1····1···11··1·11···1111·111·1·1·111·1······11·1·1······1
out 67 (149)·····1··········1·1·1···11···1·1·1···1···1··1···1·111111·1··1·1·1·1······1·1·1····1····1·1·11·1····1·1··11·1····11··1·1·11·11·····1···1·····1·1··1·1···11·········1·1·1··1·111·1111·1·········11·11···111··11·1···1········1·11··1·1··1·1·1·1···1·1··1·1·11111·1··11·1·1····1··1·1···1····1·11·1········1··11·1···1·1··1·1·1·11·····1····1······1··1·1·1······1·1·········11·1··1···1111·111·1·········1·111··111·11···1·
out 68 (149)··1···1·········11··11··1···1·11······1···1···1···1··11··11·1·1··1···11··1·1·111···1·1··11··1·11··1·1····1·······1··1··11·11········1·1····11·1··1··11·····11···1······1··1·11·1111·1·····1··11··1··1···11·11111·1·1·······11·11·1··1··11····1···1··1··1···11··11·11··1··11·1··1·1·1··1·1··11··1·1··1····1··1·······1···11··11········1··1·····11··1·1··1···1········11··1····1····1·111·111·1·····1·1·1··1··1··11111··11
out 69 (125)·····1····1·····1·1·1····1···1·1·1···1·1·1··1···1·1··1·1·1··1···1·1······1·1·······1·····1····1····1····1··1·1··11··1·1··1·11·····11··1·····1····1·1··1······1····1·1·1··1·1·1·11···1·1··1·1··11·11···1·1···1·····1·····1··1·11····1··1·1·1·1·1·1·1··1·1···1·1·1··1··1·1····1··1······1·····1···········1··1··1·1·1·1··1···1·11·····1····1······1····1·1·····1·········1··11·1··1···1·11·1···1·1··1·1··1·111··1·1··1·····
out 70 (53)1······1·1·1········································1·1···········1···1······1····1·········1·1····1·········1·1····1·1································11·······1···1·······1····1·········1·1······1·········1·1···1·1··1································1·1··········1··1······1···1·········1········1·······11·····1··1···································1·1········1·1·········1····1·········11·······1·········1·
out 71 (165)1·1··111·11·····1·1·1··11····111·1··111··11··11··111·11·11··1···11···11···11·1··1·1·····1··1··11··1·········1··11···1··1111··1·11····11··1·1··········111···1·····1·1·11·····1··11·11·1···1····1···11··11··11·1·11111·1·1··1·11·11····111·1111··11·11·11·1·11·11··1··11··11···11·1··11·····1·1···1··1··········1·11·····11·11··1·11·····11···1·1·1···········11·1·····1···11·11·······1··11·11·1···1·····1··11·11·11···1·
out 72 (149)1·1···1·········111·11··1···11··11··11··11··111·11·11·1·1···111··1···11··1·1··1···11·111·····11··1······1··11··1·1··1··11·11···1····1·11···········1····11·1····1······1··1··1··1·1·1···11·····1··11··11···1····11·1·······11111·1··1·1··1111··11·11111··11·1·1···11··1··11·1··1···1·11·111·····1·1········1··11·1··1···11··11···1····1··1·1···········1········11···1···1····1····1··1··1·1·1···11······1·11·11··1······
out 73 (159)··1···1··11······1···1···1··1111·1···11··11·1···1··1··11··1·1···111··1···1···11····1·1··1··1···1··111···11·1·1··1······1111·1··1··1·1····1·1········11······1···1·1···1111111··1·1····1···1··1·1··1·1·1··1·1·111·1·1··1·1···1··1···11·111·1·11··111··1···1··11··1·1··111·1··1····1·1··1·1··1·1···1··1···11·11·1·1·1···1·11·11·1··1··1·1······1·1········1···1·········1··11··1111··111·1··1····1···1·1···1·1·11··11·1··11
out 74 (159)··1···11········111·11··1···1111······1···1·······1··11··11·1····11··11····1·11····1·1·111·11··1··1·1····1···1···1·····11·11···1····1·1····11·1··1·111·····111·········11·1·11··111·1·1··11···1··1··1···11·111·1·1·11······11111·1··1·111····1···1·····1···11··11·1···11·11····1·1·1··1·1·1111·1·1··1····1··1···1···1···11··11···1····1··1··1··11··1·1·11···1········111······11···1·11··111·1·1··11···1··1··1··11111···1
out 75 (151)1·1··11··11······1···1···1··1··11···1··11·1··11··11··11·11······11···11······11···1··11··1···1···1··········11·11······1111·1··1··1·1··1····1···11·····11··11·····1·1·11·1111··1··1·····1··1··1··1·11··11··11···1111··1·1···1··1···11···11·1··11·1·11·11···11·11·····11··11······1·1·1··11··1···1·1············1111·····11·11·1··1··1·1····1····1····1········1·1····11···11·11·1··111·1···1·····1··1··1··1·11·11·11·····
out 76 (159)1····1·11·1······11··1·1····1·111···1·1·1·1·1···1·11·1·1·1······1·········1··11·1·11·1111··111·1·111····1··1···111···11··1·1·1·11···11·1·1·1·······1·······1·1··1·1·1·1·1·1·······11··1·1111······1···1·1···1·1·1·1·11··1···11·11···1··111·1·1·1·11··1·1·1·1·1·1·····1········1··1·1111·1111·1·1111·1···1··1··1··11·1··1···1·1·1·11···1·1··1·1·1·······1·············1·1·111·1·1···1·······11··1·1111······1··1·1··1···1·
out 77 (159)··1··11··11······1··11···1··1111·1···111·11·1···1·····11··1·1···111··1·······11······1·11··1···1··1·1···11·1·1··1······1111·1··1··1·1····1·1··1·····111·····1···1·1···11·1111··1·11·······1··1·1··1···1··1·1·111·111··1·1···1·11···11·111·1·111·111··1······11··1·1··111·1·······1·1····1·11·1···1··1····1·11·1·1·1·····11·11·1··1·11·1······1·1···1····1···11········1··11··11·1··111·1··11·······1·1···1·1··1··11·1··11
out 78 (63)1········11·······1····················1···········11··1····1·1··········1········1····11···1······1···········1······1·1······1··············1·······11·1·1·1··········1········1····1····1········1···········1·····1·1····1················1··········11··1····11········1········1····11···1········1········1·····1·1·······1·················1·········11··1···1·1·······1··········1····11···1········1···········
out 79 (165)··1··111·11·····1···1··11·······1···1··11···11··1···1·1···1·····11···11···11····1·1···11·1·1111··1··1···11·1····1···1··1111··1··1····111·1··1····1··1111·1·11·····1·1·11····11··11·11·1·11···11··11···1··1·1·1·1·1111·1·1··1··1·11·······1·1··11··11·1····1·1···1····11··11···11····11···11·11·11·1······1·11·1···1·····11·11··1··1·····11·1·1··1····11·1···111··1···11···11·11······11··11·11·1·11··1·1··11··1··11·1···1
out 80 (157)··1···1··11·····11··11··1···1·11······11·11···1···11·111·11······1···1·····1·11······1··11·1··11··1·1····1·······1··1·11··11········1·1····11··1·1··111··1··11··1···1··11·1·11··11··1····111·11··1··1···11·11111·1·1··1·1··11·11·1··1··11····11·11··1··1·1·111·11·····1··1·····1·1·1····1··111···1··1····1··1·······1··11···11········1··1·····11····1··1···11···1····11·1·1··11···1·11··11··1····1111·1··1··1··11111··11
out 81 (165)··1··111·11·····1···1··11······11···1···1···1···1·····1···1·····111··11··111·1··1·1···11·1·1111··1··1···11·1····1···1··1111··1··1····111····1·1··1··111··1·11···1·1·1·111····1··11··1·1·11···11··11···1··1·1·1·1·1111·1·1··1··1·11······11·1···1··1··1······1···1····111·11·1·11·1··11·1·11·11·11·1······1·11·1···1·····11·11··1··1·····11·1····1··1·1··1···11···1···11··111·111······1··11··1·1·11··1·1··11··1··11·1···1
out 82 (157)·····1··········1·1·1···11····111···1·1·1·1··11··1··1·1·1·1···1·1···1······1·1····1···111··1·111·1111·······1···11··1·1·11·11·····1···11·1·1·······111·····1····1···1·1·11·111·1111·1·1·111··1·····11··1·1·1·1·1··1········1·11··1·1···111·1·1·1·1·11·1···1·1·1·1··1·1·········1·1···1···111·1··111·1···11·····1··1·1··1·1·1·11·····1····1·1·1·1·······11···1········1···1·1·1·11···1111·111·1·1·111·1······11·1·11·1···1
out 83 (157)·······1·11·······1··········11·11··1111111·111·111·1111111···1··············1····11··1111·11111·1111···1···11······1·1·1······1·······1·1·11····1··111······1··············1····11·····1·1···11·111··1111·111·1····1·1·1····1········11·111111111111111··1111111··1·············1···11··11111·1111·1···11·1···11······1·1·······1·········1·1·11····1··1···11·········1·············1····11·····1·1···1·1111·11111111··1
out 84 (165)··1··111·11···1··11··1···1··1··11···1···1····11··11111·111··1·1·111··11··1····1···11·111·1···11··1·1·····1··11··1···1··1111·······1·1··1····1·1··1····1··1··11··1·1·1·111111···1······1·1··1·11··1·1···11···1····1111·1·1···11·1···11···11·1···1···11·11·111·111··11·111·11·1······1·11·111·1···1·1·····1···1··11·1·····11·11·······1·1····1····1··1·1·······1···1····11·111·1111··11··1·······1·1··11·1··1·1··11··1·····
out 85 (159)·····1·1·1······1···1···11····1·1···1·1·1·1··1···1·11·111·1···1·1··········1·1····11··111···11·1·1111·······11··11······11··1··1··1···11···1········111··1·1····1·1·1·1·11·111·111··1·1·1·11·······11··1·1·1·111··1·1·1···11··1··1·1···1·1·1·1·1·1·1··1··11·111·1··1·1·········1·1···11··111···1111·1···11·····11·1·1····1·1··1··1··1····1·1···1········1···11···1···1···111·1·11···1111·11··1·1·1·11·······11·1·11·1··11
out 86 (157)··1··111········1···1··11····111·1···11··11··11··11111·111····1·11···11··111·1··1·······1··11·11··1·········1···1···1·11·11··1··1····11··1·1··········1··1·111····1·1·111····1··1··11·1···11···1····1··11··11·1··1111······1··1·11····111·1·11··11·11·11·111·111···1·11··11·1·11·1··1······1·1·1·1··1··1·······1··1····11··11··1··1·····11···1·1·············1···1···111··11·111······1··1··11·1···11····1···1·11·11···1·
out 87 (165)1···11···11······11··1·1····1·111···1·1·1·1·1···1·111111·1····1·1········11···1·1··1·1111··1·111·11·····1··1·1·1111·1····1·1·1·11···11·1·1·1·······1···11··1····1·1·1·1···1·1····111··1·111··1····1·1·1·1···1···1·1···1·1···11·11···1··111·1·1·1·11··1·1·11111·1···1·1······1·1····11·1·1111·1··111·1······1··1·111·11·····1·1·1·11···1·1··1·1·1·······1······1·1····1···111·1·····1·1····111··1·111·1·····1·11·1··1·····
out 88 (31)·········11·········································1·1······················11············11·························1·1······························11···················1·1··········1·1··························1·1·································1·1····················1·1·········1·1·······················1·1····································1·1····················1············1·1····················
out 89 (141)1····1····1··1··1···1···11···1·1·1···1·1·1··1···1·1··1·1·1······1·1········1·1····11·····1····1····1····1··1·1·111··1·1··1111··1··1···1·····1····1·1··1····1·1····1·1·1·11·111·111··1·1··1·1··11·11···1·1···1···1·1·····1··1··1··1·1··1·1·1·1·1·1·1··1·1···1·1·1·····1·1·······1·1···11·····1···········1··1··1·111·1··1···1111··1··1····1······1····1·1·····1·······1·1··11·1·11···1111·11··1·1··1·1··1·111··1·1··1·····
out 90 (151)1·1···11···············1·1···1·111··11··11····1···11111··11···1··1···1···11··1··1·1···1···1··1···1·11····1···1·1·1·····11·1111·11·1··1·1·1··········1111····1···1···1··1·1·1···1·111··1··1···1·1········11·111·111·11···········1··1··1·11111··11···1··1·1111··11··1··1··1··1·1··1··11···1······1·1·····11··1···11··1···11··1111·11·1···1··1·1··········1···111·······1··1·1··1·1···1··1··111··1··1··1···1······11111···1
out 91 (149)··1···1·········11··11··1···1·1····1··1···1···1···11·111·11·1····11··11··1·1·11······1··11··1·11··1·1····1·······1··1··11·11········1·1··1·1··1··1··111··1·111·········1··1·11··11··1·····1··11··1··1···11·11111·1·1·······11·11·1··1··1·····1···1··1··1·1·111·11·1···11·11·1··1·1·1····1··11··1·1··1····1··1·······1···11··11········1··1···1·1···1·1··1···11···1···111······1····1·11··11··1·····1·1·1··1··1··11111··11
out 92 (159)··1··11··11······11··1···1··1··111··1···1····1···11111·111··1·1·111··1···1····1···1··111·1···1···1·1·····1··1···1······1111·1·····1·1··1··1·1·1··1·1··1··1··11··1·1···111111···1··1···1·1··1··1··1·1···11···1·1··111··1·1···11·1···11···1111···1···1··11·111·111··11·111·1··1······1·1··111·1···1·1·····1···1··1··1·····11·11·1·····1·1····1····1··1·1·1·····1···1····11·11··1111··11··1···1···1·1··1··1··1·1··11··1···1·
out 93 (151)··1···11··········1····1·1····1·······1···1·111·11····1·1···1·1··1···1···11·····1·1····111·····1··11····1··1·····1·····11·1111··1·1··1···1·11·1··1·1··1111·11···1···1··1·1·11··1·111··1···11··1··1111·11···1·····1·11········1··1··1···1·····1···111111·····1·1···11··1··1··1·1·····11····111····1··1···1··1··1·····1···11··1111··1·1···1····1·11··1·1·1·····11·11···11··1·1··1·1···11·1··111··1···11··1··111111··1···1··
out 94 (63)1·················1····················1···········1··11····1·1···1···1··1···1·········1···1······1··········1·1···············1··············1·······1·11·1·1··1···1···1···1·········1··1······1·············1·1············1················1··········1··11····11···1··1·1····1········1··1······1···········11···············1·················1·········1··11···1·1·1·1···1·····1·········1··1····················1·
out 95 (143)1····1·1·11·····1·1·1···11···1·1·1···1···1··1···1·11·11··1··1·1·1·····1··1·1······11··11·1·11······1····1··1···111·······1·11·····1···1·····1·1··1·1····11······1·1···1··1·1·1·111··11·······111·11···1·1···1·1·1·1·1·1·1··1·11··1·1··1·1·1·1···1·1··1·1·1·11··1··11·1····1·1··1·····11··11·11·1········1··1··1··11·1······1·11·····1····1······1··1·1·1········11·······11··1··1···1·11·11··1·······1·1·111··1·1··1···1·
out 96 (159)··1···11·1······111·11··1···11··11··11·111··111·11·1···11···1·1··11··1···1·1··1····1·111···111···1······1··111···1····111·11···1······11······1····1···1···11·······1··1··1··1··111·1···1··1·1·1··11··11···1··1··1·11·1····11111·11·1·1··1111·111·11111··1···11···11··11·1··1··1···1··1·111··1·11·1········1··111···1··111··11···1·······1·1·······1···1······1······11····1··1····1··1··111·1···1··11···1·11·11··1····1·
out 97 (127)·····1·1··1······1···1·1··1·11···1···1·1·1···1···1····1·1·1·1·1·1·····1··11··11·1····1···1·11·······1····1··1···11····1··1·1·1··1···1····1··1····1··11·1········1·1···1···1······1·1··1······111·1·1···1·1···1·1··1·1···1···1··11···1·1···1·1·1·1··1··1·····1·1·1·11·1····1·1·1··1·11···1···11·1·········1··1··1··1·1··1···1·1·1··1···1······1··1····1··1···1·1··········11··1·····1······1·1··1·····1·1·11·1··1·1··1···1
out 98 (159)··1··11··········11··1···1··1111·1···111·11·1···1·····11··1···1·111··1·······11····111·11··1···1··1·1···11·1·1··1·····11·11·1·····1·1····1·1··1·····111····111··1·1···11·1111··1·1··1·····1··1·1··1···1··1·1·111·111········11·1···11·111·1·111·111··1······11··1··1·111·1·······1·1··1·1·11·1···1··1····1·11·1·1·1····11··11·1·····1·1······1·1···1····1···11·······111·11··11·1··111·1··1··1·····1·1···1·1··1··11·1··11
out 99 (167)··1··11··11·····11···1···1··1111·1···111·11·1···1··1··1···1·1···111··11··1···11······1··1······1··1·1···11·1·1··1······1111·1·11··1·1····1·1··1·····11···1··1···1·1·1·1111111··1·11···1··11··1·1··1···1··1·1·111·111··1·1··11··1···11·111·1·111·111··1···1··1···1·1··111·11·1····1·1····1··1·····1··1····1·11·1·1·1·····11·11·1··1··1·1······1·1···1····1···1····1····1··111·1111··111·1··11···1··11·1···1·1··1··11·1··11
out 100 (143)··1··11··11······1·······1··1··11···1··11····11··11·111·11······11···1·······11···11·11··1·1·1···1·1········11··1······1111·1··1·11·1··1····1····1······1··11·····1···11·1111··1········11·1··1··1·1···11··11····111··1·1···1······11···11·1··11···11·11··111·11·····11··1·······1·1·11·11··11··1·1·····1······11·1·····11·11·1··1··1·1····1····1····1··········1····11···1··11·1··111·1·········11·1··1··1·1··11·11·····
check 101 (256)1·1··1111··1····111·11·111··111·11··1111111·111·111·11··1111··111111·11···11·11·1·1··11111·1·1·1·11·1···11·11···111···11111111··1·1·1111·1·11····1··111·11·11·····1··1111111·1·11·111···1·11·111·1111·1111··1111111111···1·1111111·11·11·111111111111111··11··1111·11111111···11·1·111··111111··111·1····1·11·11··1·11·111·11111··1·1·1·11·1·1·11····1··1···11··11···11···1·11111··11·11·1·111···1·111·1·111111111·11··11
check 102 (150)1·····11··11·····11·1··1·1···1·11····1·11·1··1··1·1·1····1··1··1·11···1···1··1··1········1··1·1··1111······1···1111·1·1···1··1······1·1····1········1···11···1··1·1··1·1··1111···11·1·1·1·11··1····11·1·1··1·11·1··11···11··111·1··1··1·11··1·11·1·1·1·1··1····1··1·1·11··1···1··1··1·······1··1··1·1···11····1··11·11·1····1··1······1··1·····1········1·······11·····1·11·1·1····1111···11·1·1·1·11··1····111·1·1·1··1·
check 103 (150)··1···1·1111····11··11·1·1····11····11··11····1···11··111·····1··111··1··1·1·11·1······111···11··1··1···1··11····1··1···11········1··1·····11·······11·11···1·····1·111·1·1·11·1··11··1···11···1····1···11·1·····1·1·11·11·11·111··1···11··11··11···1··1·1··111····1··111·1·1··1·1·11·····111···1·1······1·1··11····1····1·1········1···1······11·······1···1·1·1·····1···1111·1···1·111···11··1···11····1···1··111······
check 104 (64)·········1········1····················1······1····1···1····1·1···1···1··1·········1···1···11················1········1········1··············1····1··1··1·1·1··1···1···1·········1···1··1·1··················1·······1······1················1·····1····1···1····11···1··1·1·········1···1··1·1················1······1·········1·················1···1·····1···1···1·1·1·1···1···········1···1··1·1··················1·
check 105 (160)1····1·1·11·····1·1·1···11····1·1···1·111·1··1···1·11··11·111··1·1·1·11···1···1·1··1·1·1·1·1·······1····11·1·1·111·······1·11·····1···11···1··1·····111·11·11·······11·1··1·1····111·······1·111·11···1·1··11···1·1·1·1·1··1·11··1·1···1·1·1·111·1·1··1··11··11·111·1·1·111···1····11·1·1·1·11··········1··11·1·111·1······1·11·····1····1·1···1···1····1···11··11···11····11·1····1·1····111·······11·1·111··1·1·11·····
check 106 (256)·1·11·111·1·11111··1·11·1·11··11·111·1···1111·11······1·1····111·11111111···1111·11·1·1··111111·1·1111111·1··11·111111··111·111·1111·11·111111·111111···1·1·1111111111·1···11·1111··11·111·1111·1···11·1111·1·11111···11·11·111·1·11111··1·1·111···1·1111111·1·1111··1·····111111·1·1·111·11··1··111·111··1·1111·1·1··111·1··1··11·1·111··111·1··1111·1··1111111·11111··1····1·11111··1·1··11·111··1··1·11111·1···1·111··
check 107 (198)·111·11·····1··1·1·1·····11·111····1··1···111··11··11··11·1·1·1·111·11···1···1····11·1··11·1···11·11·1·111·1·11··1····11··1·11·1111·11····1111·1·1···1·11·1·11··1·····1111111·11······11··1··111··1·1111···1·11··1·11·1·1·1····11·11···11·1·111·1111·11·11··11········1··111··1·1··11·11··11···1·1·111·111·1·1111·1···1·11·1111·11··11····1·11·1···1··1·1·1········1·11·1·11··1·11··1··11·1·1·1···111·····11111··1····111
check 108 (206)···1·111··1··1··11·····11··11··11·111·1·1··11··11·11·11··1···11·111··1··111·····11·1111111··111111··1·111111··1·1··1··1··111·11·11·1111111··1···11·11···11·11··1··111·11··1·1·1·11111·111·11·11·1·1·111··1·1··11·11····1··1···111·1····1·1·1··11·11·11··11······1····1····1···111·11111··11···1·1·1·11··1··1111·1·111··111·1···11·11····1·11···1··11·······11··1·111·1·1·11··1·1··1··11····11·1111···11···11··1·1·111····
check 109 (208)1·1·11·1····11··1·1111·11·11·111··11·111···1·1···11·11·1·1·····11····1·11·111·1·1·1·1··11·11···1···1·111·1··1·111·111·11·····1·1·1·······11·1·1111·1·····1111·11··1··11····1111·11·1····1·1··1·11··1·····1··1·1111·1·····111····11·11·11111·111111·1·1··1·11··1·1·····11·1·11·11·11·11111·11··11·11111··1·1·1·1·111···111·1111·1··11···1111··111···11··1·1111·····11·11·111···11·········111·11···1·11··1·1·1·111··1·11··
check 110 (206)1······111··11··11··1111·1111········1···111111·111·1111·11···1····111·11·11··1111··11······11··1·1·1····1111·11····111··11·11·11··11········1·111··111···1··1···111·1·1·11111···111·······11·1·1·111·11111··11·1···1··111111·11·11········1·111··111111·1····1····1······111·11···1·111·······1·111·1···1·1·1··11······111··111·11·11·1111······1111···1···1·111111···1···1·1·11··1111111···11·····111·111111111111·11·1
check 111 (206)·····1········11···1111··111··111···1·1·1·1·1111·1·1······1·1···1·····1····11111·1··1·111··1·111·111·1111·1·111·11··1·1·11·1·11111·1·1·1·1·1······11·1111·1··1··1·1···1·11··111···1···1·111··1·····111··1·11111···1········111··111·1··111·1·1·1·1···1·11·111111··1··1····1··11·1·1·11111111·1··111·1·11·11·111···1·1··1·1·1·11·1··11111·111·1·1······1·1111···1·111···1·11··1·1·1111··1111·1111·111·1·····1··11·1···11·1
check 112 (198)1····1···11······1···1·1····1···1111111·11·1··111·11111·11··1·1·1·····1···1··11·1··1·1·1111·1··111·11111·111·11111··1····1·1·1··1···11·11·1·11·1111·1··1111·····1·1···1·1·1······111·111··111·1·1·1··111·111···11·1···1·1···1··11···11111·····1··111··1·1····1··1·11·1····1···1··1·11·1·11···11·1··11111··11·1·1·11·1······1·1·1··1···1·1···1111·1111·11·11111·1··11·····11··1·1···1······111···111··11·111·11··1··11111·
check 113 (208)1·1···11········11··11··1···1·1·······11··1·······111111·11··1·1··111··111·111·1·11·111·1·11·1111··1·1111·1··111·1·····11·11········1·1··1·11····1·11111·1···111·11111····111111·····1·1111111··11···1·1··1··1··11·11······11·11·1··1··1·····11··1·····1·11111·11111·11··111·11·1·111·11··1·1·11··111111·11·1111·1··1···11··11········1··1···1·11····1·11···111··1··111·11···111111·····111111111·····1111·1111·1111·1111

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 n409Noisy T states per run.
outputs k101
distance d3Exact, proved and witnessed here.
error coefficient A_{3}1,585Faults of weight 3 in the circuit shown that pass every check and damage the output. The output error is A_{3}\,p^{3} to leading order.
wires N114
checks r13
V_{\mathrm{ex}}101T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.2731Overhead per extractable T state. Lower is better.
\gamma = \log(n/k)/\log d1.2731Overhead 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 width101Rank of the output rows modulo the check rows.

Output gate

101 T0 CS0 CCZon 101 output wires

As gates: \mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \mathrm{T}_{11}\cdot \mathrm{T}_{12}\cdot \mathrm{T}_{13}\cdot \mathrm{T}_{14}\cdot \mathrm{T}_{15}\cdot \mathrm{T}_{16}\cdot \mathrm{T}_{17}\cdot \mathrm{T}_{18}\cdot \mathrm{T}_{19}\cdot \mathrm{T}_{20}\cdot \mathrm{T}_{21}\cdot \mathrm{T}_{22}\cdot \mathrm{T}_{23}\cdot \mathrm{T}_{24}\cdot \mathrm{T}_{25}\cdot \mathrm{T}_{26}\cdot \mathrm{T}_{27}\cdot \mathrm{T}_{28}\cdot \mathrm{T}_{29}\cdot \mathrm{T}_{30}\cdot \mathrm{T}_{31}\cdot \mathrm{T}_{32}\cdot \mathrm{T}_{33}\cdot \mathrm{T}_{34}\cdot \mathrm{T}_{35}\cdot \mathrm{T}_{36}\cdot \mathrm{T}_{37}\cdot \mathrm{T}_{38}\cdot \mathrm{T}_{39}\cdot \mathrm{T}_{40}\cdot \mathrm{T}_{41}\cdot \mathrm{T}_{42}\cdot \mathrm{T}_{43}\cdot \mathrm{T}_{44}\cdot \mathrm{T}_{45}\cdot \mathrm{T}_{46}\cdot \mathrm{T}_{47}\cdot \mathrm{T}_{48}\cdot \mathrm{T}_{49}\cdot \mathrm{T}_{50}\cdot \mathrm{T}_{51}\cdot \mathrm{T}_{52}\cdot \mathrm{T}_{53}\cdot \mathrm{T}_{54}\cdot \mathrm{T}_{55}\cdot \mathrm{T}_{56}\cdot \mathrm{T}_{57}\cdot \mathrm{T}_{58}\cdot \mathrm{T}_{59}\cdot \mathrm{T}_{60}\cdot \mathrm{T}_{61}\cdot \mathrm{T}_{62}\cdot \mathrm{T}_{63}\cdot \mathrm{T}_{64}\cdot \mathrm{T}_{65}\cdot \mathrm{T}_{66}\cdot \mathrm{T}_{67}\cdot \mathrm{T}_{68}\cdot \mathrm{T}_{69}\cdot \mathrm{T}_{70}\cdot \mathrm{T}_{71}\cdot \mathrm{T}_{72}\cdot \mathrm{T}_{73}\cdot \mathrm{T}_{74}\cdot \mathrm{T}_{75}\cdot \mathrm{T}_{76}\cdot \mathrm{T}_{77}\cdot \mathrm{T}_{78}\cdot \mathrm{T}_{79}\cdot \mathrm{T}_{80}\cdot \mathrm{T}_{81}\cdot \mathrm{T}_{82}\cdot \mathrm{T}_{83}\cdot \mathrm{T}_{84}\cdot \mathrm{T}_{85}\cdot \mathrm{T}_{86}\cdot \mathrm{T}_{87}\cdot \mathrm{T}_{88}\cdot \mathrm{T}_{89}\cdot \mathrm{T}_{90}\cdot \mathrm{T}_{91}\cdot \mathrm{T}_{92}\cdot \mathrm{T}_{93}\cdot \mathrm{T}_{94}\cdot \mathrm{T}_{95}\cdot \mathrm{T}_{96}\cdot \mathrm{T}_{97}\cdot \mathrm{T}_{98}\cdot \mathrm{T}_{99}\cdot \mathrm{T}_{100}

As monomials: 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100 (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 108 single-wire gates and 1891 \mathrm{CZ} gates: \mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{Z} on output 3, \mathrm{Z} on output 4, \mathrm{S} on output 5, \mathrm{Z} on output 6, \mathrm{Z} on output 7, \mathrm{Z} on output 8, \mathrm{S} on output 9, \mathrm{Z} on output 10, \mathrm{Z} on output 11, \mathrm{S} on output 12, \mathrm{Z} on output 13, \mathrm{Z} on output 14, \mathrm{Z} on output 15, \mathrm{Z} on output 16, \mathrm{S} on output 17, \mathrm{Z} on output 18, \mathrm{Z} on output 19, \mathrm{Z} on output 20, \mathrm{S} on output 21, \mathrm{Z} on output 22, \mathrm{Z} on output 23 and 1975 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 1999 correction gates

\mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{Z} on output 3, \mathrm{Z} on output 4, \mathrm{S} on output 5, \mathrm{Z} on output 6, \mathrm{Z} on output 7, \mathrm{Z} on output 8, \mathrm{S} on output 9, \mathrm{Z} on output 10, \mathrm{Z} on output 11, \mathrm{S} on output 12, \mathrm{Z} on output 13, \mathrm{Z} on output 14, \mathrm{Z} on output 15, \mathrm{Z} on output 16, \mathrm{S} on output 17, \mathrm{Z} on output 18, \mathrm{Z} on output 19, \mathrm{Z} on output 20, \mathrm{S} on output 21, \mathrm{Z} on output 22, \mathrm{Z} on output 23, \mathrm{S} on output 24, \mathrm{Z} on output 25, \mathrm{S} on output 26, \mathrm{S} on output 27, \mathrm{Z} on output 28, \mathrm{Z} on output 29, \mathrm{S} on output 30, \mathrm{S} on output 31, \mathrm{Z} on output 32, \mathrm{S} on output 33, \mathrm{S} on output 34, \mathrm{Z} on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{Z} on output 38, \mathrm{Z} on output 39, \mathrm{S} on output 40, \mathrm{Z} on output 41, \mathrm{S} on output 42, \mathrm{S} on output 43, \mathrm{Z} on output 44, \mathrm{S} on output 45, \mathrm{Z} on output 46, \mathrm{Z} on output 47, \mathrm{S} on output 48, \mathrm{S} on output 49, \mathrm{Z} on output 50, \mathrm{Z} 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{Z} on output 57, \mathrm{Z} on output 58, \mathrm{S} on output 59, \mathrm{Z} on output 60, \mathrm{Z} on output 61, \mathrm{Z} on output 62, \mathrm{S} on output 63, \mathrm{S} on output 64, \mathrm{Z} on output 65, \mathrm{Z} on output 66, \mathrm{Z} on output 67, \mathrm{Z} on output 68, \mathrm{Z} on output 69, \mathrm{Z} on output 70, \mathrm{Z} on output 71, \mathrm{Z} on output 72, \mathrm{S} on output 73, \mathrm{S} on output 74, \mathrm{S} on output 75, \mathrm{S} on output 76, \mathrm{S} on output 77, \mathrm{S} on output 78, \mathrm{Z} on output 79, \mathrm{Z} on output 80, \mathrm{Z} on output 81, \mathrm{Z} on output 82, \mathrm{Z} on output 83, \mathrm{Z} on output 84, \mathrm{S} on output 85, \mathrm{Z} on output 86, \mathrm{Z} on output 87, \mathrm{S} on output 88, \mathrm{Z} on output 89, \mathrm{S} on output 90, \mathrm{Z} on output 91, \mathrm{S} on output 92, \mathrm{S} on output 93, \mathrm{S} on output 94, \mathrm{S} on output 95, \mathrm{S} on output 96, \mathrm{S} on output 97, \mathrm{S} on output 98, \mathrm{S} on output 99, \mathrm{S} on output 100, \mathrm{S} on check 102, \mathrm{S} on check 103, \mathrm{S} on check 107, \mathrm{S} on check 108, \mathrm{S} on check 110, \mathrm{S} on check 111, \mathrm{S} on check 112, \mathrm{CZ} on output 3, output 4, \mathrm{CZ} on output 3, output 6, \mathrm{CZ} on output 3, output 7, \mathrm{CZ} on output 3, output 8, \mathrm{CZ} on output 3, output 10, \mathrm{CZ} on output 3, output 11, \mathrm{CZ} on output 3, output 13, \mathrm{CZ} on output 3, output 14, \mathrm{CZ} on output 3, output 15, \mathrm{CZ} on output 3, output 16, \mathrm{CZ} on output 3, output 18, \mathrm{CZ} on output 3, output 19, \mathrm{CZ} on output 3, output 20, \mathrm{CZ} on output 3, output 22, \mathrm{CZ} on output 3, output 23, \mathrm{CZ} on output 3, output 25, \mathrm{CZ} on output 3, output 28, \mathrm{CZ} on output 3, output 29, \mathrm{CZ} on output 3, output 32, \mathrm{CZ} on output 3, output 35, \mathrm{CZ} on output 3, output 38, \mathrm{CZ} on output 3, output 39, \mathrm{CZ} on output 3, output 41, \mathrm{CZ} on output 3, output 44, \mathrm{CZ} on output 3, output 46, \mathrm{CZ} on output 3, output 47, \mathrm{CZ} on output 3, output 50, \mathrm{CZ} on output 3, output 51, \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 57, \mathrm{CZ} on output 3, output 58, \mathrm{CZ} on output 3, output 60, \mathrm{CZ} on output 3, output 61, \mathrm{CZ} on output 3, output 62, \mathrm{CZ} on output 3, output 65, \mathrm{CZ} on output 3, output 66, \mathrm{CZ} on output 3, output 67, \mathrm{CZ} on output 3, output 68, \mathrm{CZ} on output 3, output 69, \mathrm{CZ} on output 3, output 70, \mathrm{CZ} on output 3, output 71, \mathrm{CZ} on output 3, output 72, \mathrm{CZ} on output 3, output 79, \mathrm{CZ} on output 3, output 80, \mathrm{CZ} on output 3, output 81, \mathrm{CZ} on output 3, output 82, \mathrm{CZ} on output 3, output 83, \mathrm{CZ} on output 3, output 84, \mathrm{CZ} on output 3, output 86, \mathrm{CZ} on output 3, output 87, \mathrm{CZ} on output 3, output 89, \mathrm{CZ} on output 3, output 91, \mathrm{CZ} on output 3, check 102, \mathrm{CZ} on output 3, check 103, \mathrm{CZ} on output 3, check 107, \mathrm{CZ} on output 3, check 108, \mathrm{CZ} on output 3, check 110, \mathrm{CZ} on output 3, check 111, \mathrm{CZ} on output 3, check 112, \mathrm{CZ} on output 4, output 6, \mathrm{CZ} on output 4, output 7, \mathrm{CZ} on output 4, output 8, \mathrm{CZ} on output 4, output 10, \mathrm{CZ} on output 4, output 11, \mathrm{CZ} on output 4, output 13, \mathrm{CZ} on output 4, output 14, \mathrm{CZ} on output 4, output 15, \mathrm{CZ} on output 4, output 16, \mathrm{CZ} on output 4, output 18, \mathrm{CZ} on output 4, output 19, \mathrm{CZ} on output 4, output 20, \mathrm{CZ} on output 4, output 22, \mathrm{CZ} on output 4, output 23, \mathrm{CZ} on output 4, output 25, \mathrm{CZ} on output 4, output 28, \mathrm{CZ} on output 4, output 29, \mathrm{CZ} on output 4, output 32, \mathrm{CZ} on output 4, output 35, \mathrm{CZ} on output 4, output 38, \mathrm{CZ} on output 4, output 39, \mathrm{CZ} on output 4, output 41, \mathrm{CZ} on output 4, output 44, \mathrm{CZ} on output 4, output 46, \mathrm{CZ} on output 4, output 47, \mathrm{CZ} on output 4, output 50, \mathrm{CZ} on output 4, output 51, \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 57, \mathrm{CZ} on output 4, output 58, \mathrm{CZ} on output 4, output 60, \mathrm{CZ} on output 4, output 61, \mathrm{CZ} on output 4, output 62, \mathrm{CZ} on output 4, output 65, \mathrm{CZ} on output 4, output 66, \mathrm{CZ} on output 4, output 67, \mathrm{CZ} on output 4, output 68, \mathrm{CZ} on output 4, output 69, \mathrm{CZ} on output 4, output 70, \mathrm{CZ} on output 4, output 71, \mathrm{CZ} on output 4, output 72, \mathrm{CZ} on output 4, output 79, \mathrm{CZ} on output 4, output 80, \mathrm{CZ} on output 4, output 81, \mathrm{CZ} on output 4, output 82, \mathrm{CZ} on output 4, output 83, \mathrm{CZ} on output 4, output 84, \mathrm{CZ} on output 4, output 86, \mathrm{CZ} on output 4, output 87, \mathrm{CZ} on output 4, output 89, \mathrm{CZ} on output 4, output 91, \mathrm{CZ} on output 4, check 102, \mathrm{CZ} on output 4, check 103, \mathrm{CZ} on output 4, check 107, \mathrm{CZ} on output 4, check 108, \mathrm{CZ} on output 4, check 110, \mathrm{CZ} on output 4, check 111, \mathrm{CZ} on output 4, check 112, \mathrm{CZ} on output 6, output 7, \mathrm{CZ} on output 6, output 8, \mathrm{CZ} on output 6, output 10, \mathrm{CZ} on output 6, output 11, \mathrm{CZ} on output 6, output 13, \mathrm{CZ} on output 6, output 14, \mathrm{CZ} on output 6, output 15, \mathrm{CZ} on output 6, output 16, \mathrm{CZ} on output 6, output 18, \mathrm{CZ} on output 6, output 19, \mathrm{CZ} on output 6, output 20, \mathrm{CZ} on output 6, output 22, \mathrm{CZ} on output 6, output 23, \mathrm{CZ} on output 6, output 25, \mathrm{CZ} on output 6, output 28, \mathrm{CZ} on output 6, output 29, \mathrm{CZ} on output 6, output 32, \mathrm{CZ} on output 6, output 35, \mathrm{CZ} on output 6, output 38, \mathrm{CZ} on output 6, output 39, \mathrm{CZ} on output 6, output 41, \mathrm{CZ} on output 6, output 44, \mathrm{CZ} on output 6, output 46, \mathrm{CZ} on output 6, output 47, \mathrm{CZ} on output 6, output 50, \mathrm{CZ} on output 6, output 51, \mathrm{CZ} on output 6, output 53, \mathrm{CZ} on output 6, output 55, \mathrm{CZ} on output 6, output 56, \mathrm{CZ} on output 6, output 57, \mathrm{CZ} on output 6, output 58, \mathrm{CZ} on output 6, output 60, \mathrm{CZ} on output 6, output 61, \mathrm{CZ} on output 6, output 62, \mathrm{CZ} on output 6, output 65, \mathrm{CZ} on output 6, output 66, \mathrm{CZ} on output 6, output 67, \mathrm{CZ} on output 6, output 68, \mathrm{CZ} on output 6, output 69, \mathrm{CZ} on output 6, output 70, \mathrm{CZ} on output 6, output 71, \mathrm{CZ} on output 6, output 72, \mathrm{CZ} on output 6, output 79, \mathrm{CZ} on output 6, output 80, \mathrm{CZ} on output 6, output 81, \mathrm{CZ} on output 6, output 82, \mathrm{CZ} on output 6, output 83, \mathrm{CZ} on output 6, output 84, \mathrm{CZ} on output 6, output 86, \mathrm{CZ} on output 6, output 87, \mathrm{CZ} on output 6, output 89, \mathrm{CZ} on output 6, output 91, \mathrm{CZ} on output 6, check 102, \mathrm{CZ} on output 6, check 103, \mathrm{CZ} on output 6, check 107, \mathrm{CZ} on output 6, check 108, \mathrm{CZ} on output 6, check 110, \mathrm{CZ} on output 6, check 111, \mathrm{CZ} on output 6, check 112, \mathrm{CZ} on output 7, output 8, \mathrm{CZ} on output 7, output 10, \mathrm{CZ} on output 7, output 11, \mathrm{CZ} on output 7, output 13, \mathrm{CZ} on output 7, output 14, \mathrm{CZ} on output 7, output 15, \mathrm{CZ} on output 7, output 16, \mathrm{CZ} on output 7, output 18, \mathrm{CZ} on output 7, output 19, \mathrm{CZ} on output 7, output 20, \mathrm{CZ} on output 7, output 22, \mathrm{CZ} on output 7, output 23, \mathrm{CZ} on output 7, output 25, \mathrm{CZ} on output 7, output 28, \mathrm{CZ} on output 7, output 29, \mathrm{CZ} on output 7, output 32, \mathrm{CZ} on output 7, output 35, \mathrm{CZ} on output 7, output 38, \mathrm{CZ} on output 7, output 39, \mathrm{CZ} on output 7, output 41, \mathrm{CZ} on output 7, output 44, \mathrm{CZ} on output 7, output 46, \mathrm{CZ} on output 7, output 47, \mathrm{CZ} on output 7, output 50, \mathrm{CZ} on output 7, output 51, \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 57, \mathrm{CZ} on output 7, output 58, \mathrm{CZ} on output 7, output 60, \mathrm{CZ} on output 7, output 61, \mathrm{CZ} on output 7, output 62, \mathrm{CZ} on output 7, output 65, \mathrm{CZ} on output 7, output 66, \mathrm{CZ} on output 7, output 67, \mathrm{CZ} on output 7, output 68, \mathrm{CZ} on output 7, output 69, \mathrm{CZ} on output 7, output 70, \mathrm{CZ} on output 7, output 71, \mathrm{CZ} on output 7, output 72, \mathrm{CZ} on output 7, output 79, \mathrm{CZ} on output 7, output 80, \mathrm{CZ} on output 7, output 81, \mathrm{CZ} on output 7, output 82, \mathrm{CZ} on output 7, output 83, \mathrm{CZ} on output 7, output 84, \mathrm{CZ} on output 7, output 86, \mathrm{CZ} on output 7, output 87, \mathrm{CZ} on output 7, output 89, \mathrm{CZ} on output 7, output 91, \mathrm{CZ} on output 7, check 102, \mathrm{CZ} on output 7, check 103, \mathrm{CZ} on output 7, check 107, \mathrm{CZ} on output 7, check 108, \mathrm{CZ} on output 7, check 110, \mathrm{CZ} on output 7, check 111, \mathrm{CZ} on output 7, check 112, \mathrm{CZ} on output 8, output 10, \mathrm{CZ} on output 8, output 11, \mathrm{CZ} on output 8, output 13, \mathrm{CZ} on output 8, output 14, \mathrm{CZ} on output 8, output 15, \mathrm{CZ} on output 8, output 16, \mathrm{CZ} on output 8, output 18, \mathrm{CZ} on output 8, output 19, \mathrm{CZ} on output 8, output 20, \mathrm{CZ} on output 8, output 22, \mathrm{CZ} on output 8, output 23, \mathrm{CZ} on output 8, output 25, \mathrm{CZ} on output 8, output 28, \mathrm{CZ} on output 8, output 29, \mathrm{CZ} on output 8, output 32, \mathrm{CZ} on output 8, output 35, \mathrm{CZ} on output 8, output 38, \mathrm{CZ} on output 8, output 39, \mathrm{CZ} on output 8, output 41, \mathrm{CZ} on output 8, output 44, \mathrm{CZ} on output 8, output 46, \mathrm{CZ} on output 8, output 47, \mathrm{CZ} on output 8, output 50, \mathrm{CZ} on output 8, output 51, \mathrm{CZ} on output 8, output 53, \mathrm{CZ} on output 8, output 55, \mathrm{CZ} on output 8, output 56, \mathrm{CZ} on output 8, output 57, \mathrm{CZ} on output 8, output 58, \mathrm{CZ} on output 8, output 60, \mathrm{CZ} on output 8, output 61, \mathrm{CZ} on output 8, output 62, \mathrm{CZ} on output 8, output 65, \mathrm{CZ} on output 8, output 66, \mathrm{CZ} on output 8, output 67, \mathrm{CZ} on output 8, output 68, \mathrm{CZ} on output 8, output 69, \mathrm{CZ} on output 8, output 70, \mathrm{CZ} on output 8, output 71, \mathrm{CZ} on output 8, output 72, \mathrm{CZ} on output 8, output 79, \mathrm{CZ} on output 8, output 80, \mathrm{CZ} on output 8, output 81, \mathrm{CZ} on output 8, output 82, \mathrm{CZ} on output 8, output 83, \mathrm{CZ} on output 8, output 84, \mathrm{CZ} on output 8, output 86, \mathrm{CZ} on output 8, output 87, \mathrm{CZ} on output 8, output 89, \mathrm{CZ} on output 8, output 91, \mathrm{CZ} on output 8, check 102, \mathrm{CZ} on output 8, check 103, \mathrm{CZ} on output 8, check 107, \mathrm{CZ} on output 8, check 108, \mathrm{CZ} on output 8, check 110, \mathrm{CZ} on output 8, check 111, \mathrm{CZ} on output 8, check 112, \mathrm{CZ} on output 10, output 11, \mathrm{CZ} on output 10, output 13, \mathrm{CZ} on output 10, output 14, \mathrm{CZ} on output 10, output 15, \mathrm{CZ} on output 10, output 16, \mathrm{CZ} on output 10, output 18, \mathrm{CZ} on output 10, output 19, \mathrm{CZ} on output 10, output 20, \mathrm{CZ} on output 10, output 22, \mathrm{CZ} on output 10, output 23, \mathrm{CZ} on output 10, output 25, \mathrm{CZ} on output 10, output 28, \mathrm{CZ} on output 10, output 29, \mathrm{CZ} on output 10, output 32, \mathrm{CZ} on output 10, output 35, \mathrm{CZ} on output 10, output 38, \mathrm{CZ} on output 10, output 39, \mathrm{CZ} on output 10, output 41, \mathrm{CZ} on output 10, output 44, \mathrm{CZ} on output 10, output 46, \mathrm{CZ} on output 10, output 47, \mathrm{CZ} on output 10, output 50, \mathrm{CZ} on output 10, output 51, \mathrm{CZ} on output 10, output 53, \mathrm{CZ} on output 10, output 55, \mathrm{CZ} on output 10, output 56, \mathrm{CZ} on output 10, output 57, \mathrm{CZ} on output 10, output 58, \mathrm{CZ} on output 10, output 60, \mathrm{CZ} on output 10, output 61, \mathrm{CZ} on output 10, output 62, \mathrm{CZ} on output 10, output 65, \mathrm{CZ} on output 10, output 66, \mathrm{CZ} on output 10, output 67, \mathrm{CZ} on output 10, output 68, \mathrm{CZ} on output 10, output 69, \mathrm{CZ} on output 10, output 70, \mathrm{CZ} on output 10, output 71, \mathrm{CZ} on output 10, output 72, \mathrm{CZ} on output 10, output 79, \mathrm{CZ} on output 10, output 80, \mathrm{CZ} on output 10, output 81, \mathrm{CZ} on output 10, output 82, \mathrm{CZ} on output 10, output 83, \mathrm{CZ} on output 10, output 84, \mathrm{CZ} on output 10, output 86, \mathrm{CZ} on output 10, output 87, \mathrm{CZ} on output 10, output 89, \mathrm{CZ} on output 10, output 91, \mathrm{CZ} on output 10, check 102, \mathrm{CZ} on output 10, check 103, \mathrm{CZ} on output 10, check 107, \mathrm{CZ} on output 10, check 108, \mathrm{CZ} on output 10, check 110, \mathrm{CZ} on output 10, check 111, \mathrm{CZ} on output 10, check 112, \mathrm{CZ} on output 11, output 13, \mathrm{CZ} on output 11, output 14, \mathrm{CZ} on output 11, output 15, \mathrm{CZ} on output 11, output 16, \mathrm{CZ} on output 11, output 18, \mathrm{CZ} on output 11, output 19, \mathrm{CZ} on output 11, output 20, \mathrm{CZ} on output 11, output 22, \mathrm{CZ} on output 11, output 23, \mathrm{CZ} on output 11, output 25, \mathrm{CZ} on output 11, output 28, \mathrm{CZ} on output 11, output 29, \mathrm{CZ} on output 11, output 32, \mathrm{CZ} on output 11, output 35, \mathrm{CZ} on output 11, output 38, \mathrm{CZ} on output 11, output 39, \mathrm{CZ} on output 11, output 41, \mathrm{CZ} on output 11, output 44, \mathrm{CZ} on output 11, output 46, \mathrm{CZ} on output 11, output 47, \mathrm{CZ} on output 11, output 50, \mathrm{CZ} on output 11, output 51, \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 57, \mathrm{CZ} on output 11, output 58, \mathrm{CZ} on output 11, output 60, \mathrm{CZ} on output 11, output 61, \mathrm{CZ} on output 11, output 62, \mathrm{CZ} on output 11, output 65, \mathrm{CZ} on output 11, output 66, \mathrm{CZ} on output 11, output 67, \mathrm{CZ} on output 11, output 68, \mathrm{CZ} on output 11, output 69, \mathrm{CZ} on output 11, output 70, \mathrm{CZ} on output 11, output 71, \mathrm{CZ} on output 11, output 72, \mathrm{CZ} on output 11, output 79, \mathrm{CZ} on output 11, output 80, \mathrm{CZ} on output 11, output 81, \mathrm{CZ} on output 11, output 82, \mathrm{CZ} on output 11, output 83, \mathrm{CZ} on output 11, output 84, \mathrm{CZ} on output 11, output 86, \mathrm{CZ} on output 11, output 87, \mathrm{CZ} on output 11, output 89, \mathrm{CZ} on output 11, output 91, \mathrm{CZ} on output 11, check 102, \mathrm{CZ} on output 11, check 103, \mathrm{CZ} on output 11, check 107, \mathrm{CZ} on output 11, check 108, \mathrm{CZ} on output 11, check 110, \mathrm{CZ} on output 11, check 111, \mathrm{CZ} on output 11, check 112, \mathrm{CZ} on output 13, output 14, \mathrm{CZ} on output 13, output 15, \mathrm{CZ} on output 13, output 16, \mathrm{CZ} on output 13, output 18, \mathrm{CZ} on output 13, output 19, \mathrm{CZ} on output 13, output 20, \mathrm{CZ} on output 13, output 22, \mathrm{CZ} on output 13, output 23, \mathrm{CZ} on output 13, output 25, \mathrm{CZ} on output 13, output 28, \mathrm{CZ} on output 13, output 29, \mathrm{CZ} on output 13, output 32, \mathrm{CZ} on output 13, output 35, \mathrm{CZ} on output 13, output 38, \mathrm{CZ} on output 13, output 39, \mathrm{CZ} on output 13, output 41, \mathrm{CZ} on output 13, output 44, \mathrm{CZ} on output 13, output 46, \mathrm{CZ} on output 13, output 47, \mathrm{CZ} on output 13, output 50, \mathrm{CZ} on output 13, output 51, \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 57, \mathrm{CZ} on output 13, output 58, \mathrm{CZ} on output 13, output 60, \mathrm{CZ} on output 13, output 61, \mathrm{CZ} on output 13, output 62, \mathrm{CZ} on output 13, output 65, \mathrm{CZ} on output 13, output 66, \mathrm{CZ} on output 13, output 67, \mathrm{CZ} on output 13, output 68, \mathrm{CZ} on output 13, output 69, \mathrm{CZ} on output 13, output 70, \mathrm{CZ} on output 13, output 71, \mathrm{CZ} on output 13, output 72, \mathrm{CZ} on output 13, output 79, \mathrm{CZ} on output 13, output 80, \mathrm{CZ} on output 13, output 81, \mathrm{CZ} on output 13, output 82, \mathrm{CZ} on output 13, output 83, \mathrm{CZ} on output 13, output 84, \mathrm{CZ} on output 13, output 86, \mathrm{CZ} on output 13, output 87, \mathrm{CZ} on output 13, output 89, \mathrm{CZ} on output 13, output 91, \mathrm{CZ} on output 13, check 102, \mathrm{CZ} on output 13, check 103, \mathrm{CZ} on output 13, check 107, \mathrm{CZ} on output 13, check 108, \mathrm{CZ} on output 13, check 110, \mathrm{CZ} on output 13, check 111, \mathrm{CZ} on output 13, check 112, \mathrm{CZ} on output 14, output 15, \mathrm{CZ} on output 14, output 16, \mathrm{CZ} on output 14, output 18, \mathrm{CZ} on output 14, output 19, \mathrm{CZ} on output 14, output 20, \mathrm{CZ} on output 14, output 22, \mathrm{CZ} on output 14, output 23, \mathrm{CZ} on output 14, output 25, \mathrm{CZ} on output 14, output 28, \mathrm{CZ} on output 14, output 29, \mathrm{CZ} on output 14, output 32, \mathrm{CZ} on output 14, output 35, \mathrm{CZ} on output 14, output 38, \mathrm{CZ} on output 14, output 39, \mathrm{CZ} on output 14, output 41, \mathrm{CZ} on output 14, output 44, \mathrm{CZ} on output 14, output 46, \mathrm{CZ} on output 14, output 47, \mathrm{CZ} on output 14, output 50, \mathrm{CZ} on output 14, output 51, \mathrm{CZ} on output 14, output 53, \mathrm{CZ} on output 14, output 55, \mathrm{CZ} on output 14, output 56, \mathrm{CZ} on output 14, output 57, \mathrm{CZ} on output 14, output 58, \mathrm{CZ} on output 14, output 60, \mathrm{CZ} on output 14, output 61, \mathrm{CZ} on output 14, output 62, \mathrm{CZ} on output 14, output 65, \mathrm{CZ} on output 14, output 66, \mathrm{CZ} on output 14, output 67, \mathrm{CZ} on output 14, output 68, \mathrm{CZ} on output 14, output 69, \mathrm{CZ} on output 14, output 70, \mathrm{CZ} on output 14, output 71, \mathrm{CZ} on output 14, output 72, \mathrm{CZ} on output 14, output 79, \mathrm{CZ} on output 14, output 80, \mathrm{CZ} on output 14, output 81, \mathrm{CZ} on output 14, output 82, \mathrm{CZ} on output 14, output 83, \mathrm{CZ} on output 14, output 84, \mathrm{CZ} on output 14, output 86, \mathrm{CZ} on output 14, output 87, \mathrm{CZ} on output 14, output 89, \mathrm{CZ} on output 14, output 91, \mathrm{CZ} on output 14, check 102, \mathrm{CZ} on output 14, check 103, \mathrm{CZ} on output 14, check 107, \mathrm{CZ} on output 14, check 108, \mathrm{CZ} on output 14, check 110, \mathrm{CZ} on output 14, check 111, \mathrm{CZ} on output 14, check 112, \mathrm{CZ} on output 15, output 16, \mathrm{CZ} on output 15, output 18, \mathrm{CZ} on output 15, output 19, \mathrm{CZ} on output 15, output 20, \mathrm{CZ} on output 15, output 22, \mathrm{CZ} on output 15, output 23, \mathrm{CZ} on output 15, output 25, \mathrm{CZ} on output 15, output 28, \mathrm{CZ} on output 15, output 29, \mathrm{CZ} on output 15, output 32, \mathrm{CZ} on output 15, output 35, \mathrm{CZ} on output 15, output 38, \mathrm{CZ} on output 15, output 39, \mathrm{CZ} on output 15, output 41, \mathrm{CZ} on output 15, output 44, \mathrm{CZ} on output 15, output 46, \mathrm{CZ} on output 15, output 47, \mathrm{CZ} on output 15, output 50, \mathrm{CZ} on output 15, output 51, \mathrm{CZ} on output 15, output 53, \mathrm{CZ} on output 15, output 55, \mathrm{CZ} on output 15, output 56, \mathrm{CZ} on output 15, output 57, \mathrm{CZ} on output 15, output 58, \mathrm{CZ} on output 15, output 60, \mathrm{CZ} on output 15, output 61, \mathrm{CZ} on output 15, output 62, \mathrm{CZ} on output 15, output 65, \mathrm{CZ} on output 15, output 66, \mathrm{CZ} on output 15, output 67, \mathrm{CZ} on output 15, output 68, \mathrm{CZ} on output 15, output 69, \mathrm{CZ} on output 15, output 70, \mathrm{CZ} on output 15, output 71, \mathrm{CZ} on output 15, output 72, \mathrm{CZ} on output 15, output 79, \mathrm{CZ} on output 15, output 80, \mathrm{CZ} on output 15, output 81, \mathrm{CZ} on output 15, output 82, \mathrm{CZ} on output 15, output 83, \mathrm{CZ} on output 15, output 84, \mathrm{CZ} on output 15, output 86, \mathrm{CZ} on output 15, output 87, \mathrm{CZ} on output 15, output 89, \mathrm{CZ} on output 15, output 91, \mathrm{CZ} on output 15, check 102, \mathrm{CZ} on output 15, check 103, \mathrm{CZ} on output 15, check 107, \mathrm{CZ} on output 15, check 108, \mathrm{CZ} on output 15, check 110, \mathrm{CZ} on output 15, check 111, \mathrm{CZ} on output 15, check 112, \mathrm{CZ} on output 16, output 18, \mathrm{CZ} on output 16, output 19, \mathrm{CZ} on output 16, output 20, \mathrm{CZ} on output 16, output 22, \mathrm{CZ} on output 16, output 23, \mathrm{CZ} on output 16, output 25, \mathrm{CZ} on output 16, output 28, \mathrm{CZ} on output 16, output 29, \mathrm{CZ} on output 16, output 32, \mathrm{CZ} on output 16, output 35, \mathrm{CZ} on output 16, output 38, \mathrm{CZ} on output 16, output 39, \mathrm{CZ} on output 16, output 41, \mathrm{CZ} on output 16, output 44, \mathrm{CZ} on output 16, output 46, \mathrm{CZ} on output 16, output 47, \mathrm{CZ} on output 16, output 50, \mathrm{CZ} on output 16, output 51, \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 57, \mathrm{CZ} on output 16, output 58, \mathrm{CZ} on output 16, output 60, \mathrm{CZ} on output 16, output 61, \mathrm{CZ} on output 16, output 62, \mathrm{CZ} on output 16, output 65, \mathrm{CZ} on output 16, output 66, \mathrm{CZ} on output 16, output 67, \mathrm{CZ} on output 16, output 68, \mathrm{CZ} on output 16, output 69, \mathrm{CZ} on output 16, output 70, \mathrm{CZ} on output 16, output 71, \mathrm{CZ} on output 16, output 72, \mathrm{CZ} on output 16, output 79, \mathrm{CZ} on output 16, output 80, \mathrm{CZ} on output 16, output 81, \mathrm{CZ} on output 16, output 82, \mathrm{CZ} on output 16, output 83, \mathrm{CZ} on output 16, output 84, \mathrm{CZ} on output 16, output 86, \mathrm{CZ} on output 16, output 87, \mathrm{CZ} on output 16, output 89, \mathrm{CZ} on output 16, output 91, \mathrm{CZ} on output 16, check 102, \mathrm{CZ} on output 16, check 103, \mathrm{CZ} on output 16, check 107, \mathrm{CZ} on output 16, check 108, \mathrm{CZ} on output 16, check 110, \mathrm{CZ} on output 16, check 111, \mathrm{CZ} on output 16, check 112, \mathrm{CZ} on output 18, output 19, \mathrm{CZ} on output 18, output 20, \mathrm{CZ} on output 18, output 22, \mathrm{CZ} on output 18, output 23, \mathrm{CZ} on output 18, output 25, \mathrm{CZ} on output 18, output 28, \mathrm{CZ} on output 18, output 29, \mathrm{CZ} on output 18, output 32, \mathrm{CZ} on output 18, output 35, \mathrm{CZ} on output 18, output 38, \mathrm{CZ} on output 18, output 39, \mathrm{CZ} on output 18, output 41, \mathrm{CZ} on output 18, output 44, \mathrm{CZ} on output 18, output 46, \mathrm{CZ} on output 18, output 47, \mathrm{CZ} on output 18, output 50, \mathrm{CZ} on output 18, output 51, \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 57, \mathrm{CZ} on output 18, output 58, \mathrm{CZ} on output 18, output 60, \mathrm{CZ} on output 18, output 61, \mathrm{CZ} on output 18, output 62, \mathrm{CZ} on output 18, output 65, \mathrm{CZ} on output 18, output 66, \mathrm{CZ} on output 18, output 67, \mathrm{CZ} on output 18, output 68, \mathrm{CZ} on output 18, output 69, \mathrm{CZ} on output 18, output 70, \mathrm{CZ} on output 18, output 71, \mathrm{CZ} on output 18, output 72, \mathrm{CZ} on output 18, output 79, \mathrm{CZ} on output 18, output 80, \mathrm{CZ} on output 18, output 81, \mathrm{CZ} on output 18, output 82, \mathrm{CZ} on output 18, output 83, \mathrm{CZ} on output 18, output 84, \mathrm{CZ} on output 18, output 86, \mathrm{CZ} on output 18, output 87, \mathrm{CZ} on output 18, output 89, \mathrm{CZ} on output 18, output 91, \mathrm{CZ} on output 18, check 102, \mathrm{CZ} on output 18, check 103, \mathrm{CZ} on output 18, check 107, \mathrm{CZ} on output 18, check 108, \mathrm{CZ} on output 18, check 110, \mathrm{CZ} on output 18, check 111, \mathrm{CZ} on output 18, check 112, \mathrm{CZ} on output 19, output 20, \mathrm{CZ} on output 19, output 22, \mathrm{CZ} on output 19, output 23, \mathrm{CZ} on output 19, output 25, \mathrm{CZ} on output 19, output 28, \mathrm{CZ} on output 19, output 29, \mathrm{CZ} on output 19, output 32, \mathrm{CZ} on output 19, output 35, \mathrm{CZ} on output 19, output 38, \mathrm{CZ} on output 19, output 39, \mathrm{CZ} on output 19, output 41, \mathrm{CZ} on output 19, output 44, \mathrm{CZ} on output 19, output 46, \mathrm{CZ} on output 19, output 47, \mathrm{CZ} on output 19, output 50, \mathrm{CZ} on output 19, output 51, \mathrm{CZ} on output 19, output 53, \mathrm{CZ} on output 19, output 55, \mathrm{CZ} on output 19, output 56, \mathrm{CZ} on output 19, output 57, \mathrm{CZ} on output 19, output 58, \mathrm{CZ} on output 19, output 60, \mathrm{CZ} on output 19, output 61, \mathrm{CZ} on output 19, output 62, \mathrm{CZ} on output 19, output 65, \mathrm{CZ} on output 19, output 66, \mathrm{CZ} on output 19, output 67, \mathrm{CZ} on output 19, output 68, \mathrm{CZ} on output 19, output 69, \mathrm{CZ} on output 19, output 70, \mathrm{CZ} on output 19, output 71, \mathrm{CZ} on output 19, output 72, \mathrm{CZ} on output 19, output 79, \mathrm{CZ} on output 19, output 80, \mathrm{CZ} on output 19, output 81, \mathrm{CZ} on output 19, output 82, \mathrm{CZ} on output 19, output 83, \mathrm{CZ} on output 19, output 84, \mathrm{CZ} on output 19, output 86, \mathrm{CZ} on output 19, output 87, \mathrm{CZ} on output 19, output 89, \mathrm{CZ} on output 19, output 91, \mathrm{CZ} on output 19, check 102, \mathrm{CZ} on output 19, check 103, \mathrm{CZ} on output 19, check 107, \mathrm{CZ} on output 19, check 108, \mathrm{CZ} on output 19, check 110, \mathrm{CZ} on output 19, check 111, \mathrm{CZ} on output 19, check 112, \mathrm{CZ} on output 20, output 22, \mathrm{CZ} on output 20, output 23, \mathrm{CZ} on output 20, output 25, \mathrm{CZ} on output 20, output 28, \mathrm{CZ} on output 20, output 29, \mathrm{CZ} on output 20, output 32, \mathrm{CZ} on output 20, output 35, \mathrm{CZ} on output 20, output 38, \mathrm{CZ} on output 20, output 39, \mathrm{CZ} on output 20, output 41, \mathrm{CZ} on output 20, output 44, \mathrm{CZ} on output 20, output 46, \mathrm{CZ} on output 20, output 47, \mathrm{CZ} on output 20, output 50, \mathrm{CZ} on output 20, output 51, \mathrm{CZ} on output 20, output 53, \mathrm{CZ} on output 20, output 55, \mathrm{CZ} on output 20, output 56, \mathrm{CZ} on output 20, output 57, \mathrm{CZ} on output 20, output 58, \mathrm{CZ} on output 20, output 60, \mathrm{CZ} on output 20, output 61, \mathrm{CZ} on output 20, output 62, \mathrm{CZ} on output 20, output 65, \mathrm{CZ} on output 20, output 66, \mathrm{CZ} on output 20, output 67, \mathrm{CZ} on output 20, output 68, \mathrm{CZ} on output 20, output 69, \mathrm{CZ} on output 20, output 70, \mathrm{CZ} on output 20, output 71, \mathrm{CZ} on output 20, output 72, \mathrm{CZ} on output 20, output 79, \mathrm{CZ} on output 20, output 80, \mathrm{CZ} on output 20, output 81, \mathrm{CZ} on output 20, output 82, \mathrm{CZ} on output 20, output 83, \mathrm{CZ} on output 20, output 84, \mathrm{CZ} on output 20, output 86, \mathrm{CZ} on output 20, output 87, \mathrm{CZ} on output 20, output 89, \mathrm{CZ} on output 20, output 91, \mathrm{CZ} on output 20, check 102, \mathrm{CZ} on output 20, check 103, \mathrm{CZ} on output 20, check 107, \mathrm{CZ} on output 20, check 108, \mathrm{CZ} on output 20, check 110, \mathrm{CZ} on output 20, check 111, \mathrm{CZ} on output 20, check 112, \mathrm{CZ} on output 22, output 23, \mathrm{CZ} on output 22, output 25, \mathrm{CZ} on output 22, output 28, \mathrm{CZ} on output 22, output 29, \mathrm{CZ} on output 22, output 32, \mathrm{CZ} on output 22, output 35, \mathrm{CZ} on output 22, output 38, \mathrm{CZ} on output 22, output 39, \mathrm{CZ} on output 22, output 41, \mathrm{CZ} on output 22, output 44, \mathrm{CZ} on output 22, output 46, \mathrm{CZ} on output 22, output 47, \mathrm{CZ} on output 22, output 50, \mathrm{CZ} on output 22, output 51, \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 57, \mathrm{CZ} on output 22, output 58, \mathrm{CZ} on output 22, output 60, \mathrm{CZ} on output 22, output 61, \mathrm{CZ} on output 22, output 62, \mathrm{CZ} on output 22, output 65, \mathrm{CZ} on output 22, output 66, \mathrm{CZ} on output 22, output 67, \mathrm{CZ} on output 22, output 68, \mathrm{CZ} on output 22, output 69, \mathrm{CZ} on output 22, output 70, \mathrm{CZ} on output 22, output 71, \mathrm{CZ} on output 22, output 72, \mathrm{CZ} on output 22, output 79, \mathrm{CZ} on output 22, output 80, \mathrm{CZ} on output 22, output 81, \mathrm{CZ} on output 22, output 82, \mathrm{CZ} on output 22, output 83, \mathrm{CZ} on output 22, output 84, \mathrm{CZ} on output 22, output 86, \mathrm{CZ} on output 22, output 87, \mathrm{CZ} on output 22, output 89, \mathrm{CZ} on output 22, output 91, \mathrm{CZ} on output 22, check 102, \mathrm{CZ} on output 22, check 103, \mathrm{CZ} on output 22, check 107, \mathrm{CZ} on output 22, check 108, \mathrm{CZ} on output 22, check 110, \mathrm{CZ} on output 22, check 111, \mathrm{CZ} on output 22, check 112, \mathrm{CZ} on output 23, output 25, \mathrm{CZ} on output 23, output 28, \mathrm{CZ} on output 23, output 29, \mathrm{CZ} on output 23, output 32, \mathrm{CZ} on output 23, output 35, \mathrm{CZ} on output 23, output 38, \mathrm{CZ} on output 23, output 39, \mathrm{CZ} on output 23, output 41, \mathrm{CZ} on output 23, output 44, \mathrm{CZ} on output 23, output 46, \mathrm{CZ} on output 23, output 47, \mathrm{CZ} on output 23, output 50, \mathrm{CZ} on output 23, output 51, \mathrm{CZ} on output 23, output 53, \mathrm{CZ} on output 23, output 55, \mathrm{CZ} on output 23, output 56, \mathrm{CZ} on output 23, output 57, \mathrm{CZ} on output 23, output 58, \mathrm{CZ} on output 23, output 60, \mathrm{CZ} on output 23, output 61, \mathrm{CZ} on output 23, output 62, \mathrm{CZ} on output 23, output 65, \mathrm{CZ} on output 23, output 66, \mathrm{CZ} on output 23, output 67, \mathrm{CZ} on output 23, output 68, \mathrm{CZ} on output 23, output 69, \mathrm{CZ} on output 23, output 70, \mathrm{CZ} on output 23, output 71, \mathrm{CZ} on output 23, output 72, \mathrm{CZ} on output 23, output 79, \mathrm{CZ} on output 23, output 80, \mathrm{CZ} on output 23, output 81, \mathrm{CZ} on output 23, output 82, \mathrm{CZ} on output 23, output 83, \mathrm{CZ} on output 23, output 84, \mathrm{CZ} on output 23, output 86, \mathrm{CZ} on output 23, output 87, \mathrm{CZ} on output 23, output 89, \mathrm{CZ} on output 23, output 91, \mathrm{CZ} on output 23, check 102, \mathrm{CZ} on output 23, check 103, \mathrm{CZ} on output 23, check 107, \mathrm{CZ} on output 23, check 108, \mathrm{CZ} on output 23, check 110, \mathrm{CZ} on output 23, check 111, \mathrm{CZ} on output 23, check 112, \mathrm{CZ} on output 25, output 28, \mathrm{CZ} on output 25, output 29, \mathrm{CZ} on output 25, output 32, \mathrm{CZ} on output 25, output 35, \mathrm{CZ} on output 25, output 38, \mathrm{CZ} on output 25, output 39, \mathrm{CZ} on output 25, output 41, \mathrm{CZ} on output 25, output 44, \mathrm{CZ} on output 25, output 46, \mathrm{CZ} on output 25, output 47, \mathrm{CZ} on output 25, output 50, \mathrm{CZ} on output 25, output 51, \mathrm{CZ} on output 25, output 53, \mathrm{CZ} on output 25, output 55, \mathrm{CZ} on output 25, output 56, \mathrm{CZ} on output 25, output 57, \mathrm{CZ} on output 25, output 58, \mathrm{CZ} on output 25, output 60, \mathrm{CZ} on output 25, output 61, \mathrm{CZ} on output 25, output 62, \mathrm{CZ} on output 25, output 65, \mathrm{CZ} on output 25, output 66, \mathrm{CZ} on output 25, output 67, \mathrm{CZ} on output 25, output 68, \mathrm{CZ} on output 25, output 69, \mathrm{CZ} on output 25, output 70, \mathrm{CZ} on output 25, output 71, \mathrm{CZ} on output 25, output 72, \mathrm{CZ} on output 25, output 79, \mathrm{CZ} on output 25, output 80, \mathrm{CZ} on output 25, output 81, \mathrm{CZ} on output 25, output 82, \mathrm{CZ} on output 25, output 83, \mathrm{CZ} on output 25, output 84, \mathrm{CZ} on output 25, output 86, \mathrm{CZ} on output 25, output 87, \mathrm{CZ} on output 25, output 89, \mathrm{CZ} on output 25, output 91, \mathrm{CZ} on output 25, check 102, \mathrm{CZ} on output 25, check 103, \mathrm{CZ} on output 25, check 107, \mathrm{CZ} on output 25, check 108, \mathrm{CZ} on output 25, check 110, \mathrm{CZ} on output 25, check 111, \mathrm{CZ} on output 25, check 112, \mathrm{CZ} on output 28, output 29, \mathrm{CZ} on output 28, output 32, \mathrm{CZ} on output 28, output 35, \mathrm{CZ} on output 28, output 38, \mathrm{CZ} on output 28, output 39, \mathrm{CZ} on output 28, output 41, \mathrm{CZ} on output 28, output 44, \mathrm{CZ} on output 28, output 46, \mathrm{CZ} on output 28, output 47, \mathrm{CZ} on output 28, output 50, \mathrm{CZ} on output 28, output 51, \mathrm{CZ} on output 28, output 53, \mathrm{CZ} on output 28, output 55, \mathrm{CZ} on output 28, output 56, \mathrm{CZ} on output 28, output 57, \mathrm{CZ} on output 28, output 58, \mathrm{CZ} on output 28, output 60, \mathrm{CZ} on output 28, output 61, \mathrm{CZ} on output 28, output 62, \mathrm{CZ} on output 28, output 65, \mathrm{CZ} on output 28, output 66, \mathrm{CZ} on output 28, output 67, \mathrm{CZ} on output 28, output 68, \mathrm{CZ} on output 28, output 69, \mathrm{CZ} on output 28, output 70, \mathrm{CZ} on output 28, output 71, \mathrm{CZ} on output 28, output 72, \mathrm{CZ} on output 28, output 79, \mathrm{CZ} on output 28, output 80, \mathrm{CZ} on output 28, output 81, \mathrm{CZ} on output 28, output 82, \mathrm{CZ} on output 28, output 83, \mathrm{CZ} on output 28, output 84, \mathrm{CZ} on output 28, output 86, \mathrm{CZ} on output 28, output 87, \mathrm{CZ} on output 28, output 89, \mathrm{CZ} on output 28, output 91, \mathrm{CZ} on output 28, check 102, \mathrm{CZ} on output 28, check 103, \mathrm{CZ} on output 28, check 107, \mathrm{CZ} on output 28, check 108, \mathrm{CZ} on output 28, check 110, \mathrm{CZ} on output 28, check 111, \mathrm{CZ} on output 28, check 112, \mathrm{CZ} on output 29, output 32, \mathrm{CZ} on output 29, output 35, \mathrm{CZ} on output 29, output 38, \mathrm{CZ} on output 29, output 39, \mathrm{CZ} on output 29, output 41, \mathrm{CZ} on output 29, output 44, \mathrm{CZ} on output 29, output 46, \mathrm{CZ} on output 29, output 47, \mathrm{CZ} on output 29, output 50, \mathrm{CZ} on output 29, output 51, \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 57, \mathrm{CZ} on output 29, output 58, \mathrm{CZ} on output 29, output 60, \mathrm{CZ} on output 29, output 61, \mathrm{CZ} on output 29, output 62, \mathrm{CZ} on output 29, output 65, \mathrm{CZ} on output 29, output 66, \mathrm{CZ} on output 29, output 67, \mathrm{CZ} on output 29, output 68, \mathrm{CZ} on output 29, output 69, \mathrm{CZ} on output 29, output 70, \mathrm{CZ} on output 29, output 71, \mathrm{CZ} on output 29, output 72, \mathrm{CZ} on output 29, output 79, \mathrm{CZ} on output 29, output 80, \mathrm{CZ} on output 29, output 81, \mathrm{CZ} on output 29, output 82, \mathrm{CZ} on output 29, output 83, \mathrm{CZ} on output 29, output 84, \mathrm{CZ} on output 29, output 86, \mathrm{CZ} on output 29, output 87, \mathrm{CZ} on output 29, output 89, \mathrm{CZ} on output 29, output 91, \mathrm{CZ} on output 29, check 102, \mathrm{CZ} on output 29, check 103, \mathrm{CZ} on output 29, check 107, \mathrm{CZ} on output 29, check 108, \mathrm{CZ} on output 29, check 110, \mathrm{CZ} on output 29, check 111, \mathrm{CZ} on output 29, check 112, \mathrm{CZ} on output 32, output 35, \mathrm{CZ} on output 32, output 38, \mathrm{CZ} on output 32, output 39, \mathrm{CZ} on output 32, output 41, \mathrm{CZ} on output 32, output 44, \mathrm{CZ} on output 32, output 46, \mathrm{CZ} on output 32, output 47, \mathrm{CZ} on output 32, output 50, \mathrm{CZ} on output 32, output 51, \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 57, \mathrm{CZ} on output 32, output 58, \mathrm{CZ} on output 32, output 60, \mathrm{CZ} on output 32, output 61, \mathrm{CZ} on output 32, output 62, \mathrm{CZ} on output 32, output 65, \mathrm{CZ} on output 32, output 66, \mathrm{CZ} on output 32, output 67, \mathrm{CZ} on output 32, output 68, \mathrm{CZ} on output 32, output 69, \mathrm{CZ} on output 32, output 70, \mathrm{CZ} on output 32, output 71, \mathrm{CZ} on output 32, output 72, \mathrm{CZ} on output 32, output 79, \mathrm{CZ} on output 32, output 80, \mathrm{CZ} on output 32, output 81, \mathrm{CZ} on output 32, output 82, \mathrm{CZ} on output 32, output 83, \mathrm{CZ} on output 32, output 84, \mathrm{CZ} on output 32, output 86, \mathrm{CZ} on output 32, output 87, \mathrm{CZ} on output 32, output 89, \mathrm{CZ} on output 32, output 91, \mathrm{CZ} on output 32, check 102, \mathrm{CZ} on output 32, check 103, \mathrm{CZ} on output 32, check 107, \mathrm{CZ} on output 32, check 108, \mathrm{CZ} on output 32, check 110, \mathrm{CZ} on output 32, check 111, \mathrm{CZ} on output 32, check 112, \mathrm{CZ} on output 35, output 38, \mathrm{CZ} on output 35, output 39, \mathrm{CZ} on output 35, output 41, \mathrm{CZ} on output 35, output 44, \mathrm{CZ} on output 35, output 46, \mathrm{CZ} on output 35, output 47, \mathrm{CZ} on output 35, output 50, \mathrm{CZ} on output 35, output 51, \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 57, \mathrm{CZ} on output 35, output 58, \mathrm{CZ} on output 35, output 60, \mathrm{CZ} on output 35, output 61, \mathrm{CZ} on output 35, output 62, \mathrm{CZ} on output 35, output 65, \mathrm{CZ} on output 35, output 66, \mathrm{CZ} on output 35, output 67, \mathrm{CZ} on output 35, output 68, \mathrm{CZ} on output 35, output 69, \mathrm{CZ} on output 35, output 70, \mathrm{CZ} on output 35, output 71, \mathrm{CZ} on output 35, output 72, \mathrm{CZ} on output 35, output 79, \mathrm{CZ} on output 35, output 80, \mathrm{CZ} on output 35, output 81, \mathrm{CZ} on output 35, output 82, \mathrm{CZ} on output 35, output 83, \mathrm{CZ} on output 35, output 84, \mathrm{CZ} on output 35, output 86, \mathrm{CZ} on output 35, output 87, \mathrm{CZ} on output 35, output 89, \mathrm{CZ} on output 35, output 91, \mathrm{CZ} on output 35, check 102, \mathrm{CZ} on output 35, check 103, \mathrm{CZ} on output 35, check 107, \mathrm{CZ} on output 35, check 108, \mathrm{CZ} on output 35, check 110, \mathrm{CZ} on output 35, check 111, \mathrm{CZ} on output 35, check 112, \mathrm{CZ} on output 38, output 39, \mathrm{CZ} on output 38, output 41, \mathrm{CZ} on output 38, output 44, \mathrm{CZ} on output 38, output 46, \mathrm{CZ} on output 38, output 47, \mathrm{CZ} on output 38, output 50, \mathrm{CZ} on output 38, output 51, \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 57, \mathrm{CZ} on output 38, output 58, \mathrm{CZ} on output 38, output 60, \mathrm{CZ} on output 38, output 61, \mathrm{CZ} on output 38, output 62, \mathrm{CZ} on output 38, output 65, \mathrm{CZ} on output 38, output 66, \mathrm{CZ} on output 38, output 67, \mathrm{CZ} on output 38, output 68, \mathrm{CZ} on output 38, output 69, \mathrm{CZ} on output 38, output 70, \mathrm{CZ} on output 38, output 71, \mathrm{CZ} on output 38, output 72, \mathrm{CZ} on output 38, output 79, \mathrm{CZ} on output 38, output 80, \mathrm{CZ} on output 38, output 81, \mathrm{CZ} on output 38, output 82, \mathrm{CZ} on output 38, output 83, \mathrm{CZ} on output 38, output 84, \mathrm{CZ} on output 38, output 86, \mathrm{CZ} on output 38, output 87, \mathrm{CZ} on output 38, output 89, \mathrm{CZ} on output 38, output 91, \mathrm{CZ} on output 38, check 102, \mathrm{CZ} on output 38, check 103, \mathrm{CZ} on output 38, check 107, \mathrm{CZ} on output 38, check 108, \mathrm{CZ} on output 38, check 110, \mathrm{CZ} on output 38, check 111, \mathrm{CZ} on output 38, check 112, \mathrm{CZ} on output 39, output 41, \mathrm{CZ} on output 39, output 44, \mathrm{CZ} on output 39, output 46, \mathrm{CZ} on output 39, output 47, \mathrm{CZ} on output 39, output 50, \mathrm{CZ} on output 39, output 51, \mathrm{CZ} on output 39, output 53, \mathrm{CZ} on output 39, output 55, \mathrm{CZ} on output 39, output 56, \mathrm{CZ} on output 39, output 57, \mathrm{CZ} on output 39, output 58, \mathrm{CZ} on output 39, output 60, \mathrm{CZ} on output 39, output 61, \mathrm{CZ} on output 39, output 62, \mathrm{CZ} on output 39, output 65, \mathrm{CZ} on output 39, output 66, \mathrm{CZ} on output 39, output 67, \mathrm{CZ} on output 39, output 68, \mathrm{CZ} on output 39, output 69, \mathrm{CZ} on output 39, output 70, \mathrm{CZ} on output 39, output 71, \mathrm{CZ} on output 39, output 72, \mathrm{CZ} on output 39, output 79, \mathrm{CZ} on output 39, output 80, \mathrm{CZ} on output 39, output 81, \mathrm{CZ} on output 39, output 82, \mathrm{CZ} on output 39, output 83, \mathrm{CZ} on output 39, output 84, \mathrm{CZ} on output 39, output 86, \mathrm{CZ} on output 39, output 87, \mathrm{CZ} on output 39, output 89, \mathrm{CZ} on output 39, output 91, \mathrm{CZ} on output 39, check 102, \mathrm{CZ} on output 39, check 103, \mathrm{CZ} on output 39, check 107, \mathrm{CZ} on output 39, check 108, \mathrm{CZ} on output 39, check 110, \mathrm{CZ} on output 39, check 111, \mathrm{CZ} on output 39, check 112, \mathrm{CZ} on output 41, output 44, \mathrm{CZ} on output 41, output 46, \mathrm{CZ} on output 41, output 47, \mathrm{CZ} on output 41, output 50, \mathrm{CZ} on output 41, output 51, \mathrm{CZ} on output 41, output 53, \mathrm{CZ} on output 41, output 55, \mathrm{CZ} on output 41, output 56, \mathrm{CZ} on output 41, output 57, \mathrm{CZ} on output 41, output 58, \mathrm{CZ} on output 41, output 60, \mathrm{CZ} on output 41, output 61, \mathrm{CZ} on output 41, output 62, \mathrm{CZ} on output 41, output 65, \mathrm{CZ} on output 41, output 66, \mathrm{CZ} on output 41, output 67, \mathrm{CZ} on output 41, output 68, \mathrm{CZ} on output 41, output 69, \mathrm{CZ} on output 41, output 70, \mathrm{CZ} on output 41, output 71, \mathrm{CZ} on output 41, output 72, \mathrm{CZ} on output 41, output 79, \mathrm{CZ} on output 41, output 80, \mathrm{CZ} on output 41, output 81, \mathrm{CZ} on output 41, output 82, \mathrm{CZ} on output 41, output 83, \mathrm{CZ} on output 41, output 84, \mathrm{CZ} on output 41, output 86, \mathrm{CZ} on output 41, output 87, \mathrm{CZ} on output 41, output 89, \mathrm{CZ} on output 41, output 91, \mathrm{CZ} on output 41, check 102, \mathrm{CZ} on output 41, check 103, \mathrm{CZ} on output 41, check 107, \mathrm{CZ} on output 41, check 108, \mathrm{CZ} on output 41, check 110, \mathrm{CZ} on output 41, check 111, \mathrm{CZ} on output 41, check 112, \mathrm{CZ} on output 44, output 46, \mathrm{CZ} on output 44, output 47, \mathrm{CZ} on output 44, output 50, \mathrm{CZ} on output 44, output 51, \mathrm{CZ} on output 44, output 53, \mathrm{CZ} on output 44, output 55, \mathrm{CZ} on output 44, output 56, \mathrm{CZ} on output 44, output 57, \mathrm{CZ} on output 44, output 58, \mathrm{CZ} on output 44, output 60, \mathrm{CZ} on output 44, output 61, \mathrm{CZ} on output 44, output 62, \mathrm{CZ} on output 44, output 65, \mathrm{CZ} on output 44, output 66, \mathrm{CZ} on output 44, output 67, \mathrm{CZ} on output 44, output 68, \mathrm{CZ} on output 44, output 69, \mathrm{CZ} on output 44, output 70, \mathrm{CZ} on output 44, output 71, \mathrm{CZ} on output 44, output 72, \mathrm{CZ} on output 44, output 79, \mathrm{CZ} on output 44, output 80, \mathrm{CZ} on output 44, output 81, \mathrm{CZ} on output 44, output 82, \mathrm{CZ} on output 44, output 83, \mathrm{CZ} on output 44, output 84, \mathrm{CZ} on output 44, output 86, \mathrm{CZ} on output 44, output 87, \mathrm{CZ} on output 44, output 89, \mathrm{CZ} on output 44, output 91, \mathrm{CZ} on output 44, check 102, \mathrm{CZ} on output 44, check 103, \mathrm{CZ} on output 44, check 107, \mathrm{CZ} on output 44, check 108, \mathrm{CZ} on output 44, check 110, \mathrm{CZ} on output 44, check 111, \mathrm{CZ} on output 44, check 112, \mathrm{CZ} on output 46, output 47, \mathrm{CZ} on output 46, output 50, \mathrm{CZ} on output 46, output 51, \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 57, \mathrm{CZ} on output 46, output 58, \mathrm{CZ} on output 46, output 60, \mathrm{CZ} on output 46, output 61, \mathrm{CZ} on output 46, output 62, \mathrm{CZ} on output 46, output 65, \mathrm{CZ} on output 46, output 66, \mathrm{CZ} on output 46, output 67, \mathrm{CZ} on output 46, output 68, \mathrm{CZ} on output 46, output 69, \mathrm{CZ} on output 46, output 70, \mathrm{CZ} on output 46, output 71, \mathrm{CZ} on output 46, output 72, \mathrm{CZ} on output 46, output 79, \mathrm{CZ} on output 46, output 80, \mathrm{CZ} on output 46, output 81, \mathrm{CZ} on output 46, output 82, \mathrm{CZ} on output 46, output 83, \mathrm{CZ} on output 46, output 84, \mathrm{CZ} on output 46, output 86, \mathrm{CZ} on output 46, output 87, \mathrm{CZ} on output 46, output 89, \mathrm{CZ} on output 46, output 91, \mathrm{CZ} on output 46, check 102, \mathrm{CZ} on output 46, check 103, \mathrm{CZ} on output 46, check 107, \mathrm{CZ} on output 46, check 108, \mathrm{CZ} on output 46, check 110, \mathrm{CZ} on output 46, check 111, \mathrm{CZ} on output 46, check 112, \mathrm{CZ} on output 47, output 50, \mathrm{CZ} on output 47, output 51, \mathrm{CZ} on output 47, output 53, \mathrm{CZ} on output 47, output 55, \mathrm{CZ} on output 47, output 56, \mathrm{CZ} on output 47, output 57, \mathrm{CZ} on output 47, output 58, \mathrm{CZ} on output 47, output 60, \mathrm{CZ} on output 47, output 61, \mathrm{CZ} on output 47, output 62, \mathrm{CZ} on output 47, output 65, \mathrm{CZ} on output 47, output 66, \mathrm{CZ} on output 47, output 67, \mathrm{CZ} on output 47, output 68, \mathrm{CZ} on output 47, output 69, \mathrm{CZ} on output 47, output 70, \mathrm{CZ} on output 47, output 71, \mathrm{CZ} on output 47, output 72, \mathrm{CZ} on output 47, output 79, \mathrm{CZ} on output 47, output 80, \mathrm{CZ} on output 47, output 81, \mathrm{CZ} on output 47, output 82, \mathrm{CZ} on output 47, output 83, \mathrm{CZ} on output 47, output 84, \mathrm{CZ} on output 47, output 86, \mathrm{CZ} on output 47, output 87, \mathrm{CZ} on output 47, output 89, \mathrm{CZ} on output 47, output 91, \mathrm{CZ} on output 47, check 102, \mathrm{CZ} on output 47, check 103, \mathrm{CZ} on output 47, check 107, \mathrm{CZ} on output 47, check 108, \mathrm{CZ} on output 47, check 110, \mathrm{CZ} on output 47, check 111, \mathrm{CZ} on output 47, check 112, \mathrm{CZ} on output 50, output 51, \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 57, \mathrm{CZ} on output 50, output 58, \mathrm{CZ} on output 50, output 60, \mathrm{CZ} on output 50, output 61, \mathrm{CZ} on output 50, output 62, \mathrm{CZ} on output 50, output 65, \mathrm{CZ} on output 50, output 66, \mathrm{CZ} on output 50, output 67, \mathrm{CZ} on output 50, output 68, \mathrm{CZ} on output 50, output 69, \mathrm{CZ} on output 50, output 70, \mathrm{CZ} on output 50, output 71, \mathrm{CZ} on output 50, output 72, \mathrm{CZ} on output 50, output 79, \mathrm{CZ} on output 50, output 80, \mathrm{CZ} on output 50, output 81, \mathrm{CZ} on output 50, output 82, \mathrm{CZ} on output 50, output 83, \mathrm{CZ} on output 50, output 84, \mathrm{CZ} on output 50, output 86, \mathrm{CZ} on output 50, output 87, \mathrm{CZ} on output 50, output 89, \mathrm{CZ} on output 50, output 91, \mathrm{CZ} on output 50, check 102, \mathrm{CZ} on output 50, check 103, \mathrm{CZ} on output 50, check 107, \mathrm{CZ} on output 50, check 108, \mathrm{CZ} on output 50, check 110, \mathrm{CZ} on output 50, check 111, \mathrm{CZ} on output 50, check 112, \mathrm{CZ} on output 51, output 53, \mathrm{CZ} on output 51, output 55, \mathrm{CZ} on output 51, output 56, \mathrm{CZ} on output 51, output 57, \mathrm{CZ} on output 51, output 58, \mathrm{CZ} on output 51, output 60, \mathrm{CZ} on output 51, output 61, \mathrm{CZ} on output 51, output 62, \mathrm{CZ} on output 51, output 65, \mathrm{CZ} on output 51, output 66, \mathrm{CZ} on output 51, output 67, \mathrm{CZ} on output 51, output 68, \mathrm{CZ} on output 51, output 69, \mathrm{CZ} on output 51, output 70, \mathrm{CZ} on output 51, output 71, \mathrm{CZ} on output 51, output 72, \mathrm{CZ} on output 51, output 79, \mathrm{CZ} on output 51, output 80, \mathrm{CZ} on output 51, output 81, \mathrm{CZ} on output 51, output 82, \mathrm{CZ} on output 51, output 83, \mathrm{CZ} on output 51, output 84, \mathrm{CZ} on output 51, output 86, \mathrm{CZ} on output 51, output 87, \mathrm{CZ} on output 51, output 89, \mathrm{CZ} on output 51, output 91, \mathrm{CZ} on output 51, check 102, \mathrm{CZ} on output 51, check 103, \mathrm{CZ} on output 51, check 107, \mathrm{CZ} on output 51, check 108, \mathrm{CZ} on output 51, check 110, \mathrm{CZ} on output 51, check 111, \mathrm{CZ} on output 51, check 112, \mathrm{CZ} on output 53, output 55, \mathrm{CZ} on output 53, output 56, \mathrm{CZ} on output 53, output 57, \mathrm{CZ} on output 53, output 58, \mathrm{CZ} on output 53, output 60, \mathrm{CZ} on output 53, output 61, \mathrm{CZ} on output 53, output 62, \mathrm{CZ} on output 53, output 65, \mathrm{CZ} on output 53, output 66, \mathrm{CZ} on output 53, output 67, \mathrm{CZ} on output 53, output 68, \mathrm{CZ} on output 53, output 69, \mathrm{CZ} on output 53, output 70, \mathrm{CZ} on output 53, output 71, \mathrm{CZ} on output 53, output 72, \mathrm{CZ} on output 53, output 79, \mathrm{CZ} on output 53, output 80, \mathrm{CZ} on output 53, output 81, \mathrm{CZ} on output 53, output 82, \mathrm{CZ} on output 53, output 83, \mathrm{CZ} on output 53, output 84, \mathrm{CZ} on output 53, output 86, \mathrm{CZ} on output 53, output 87, \mathrm{CZ} on output 53, output 89, \mathrm{CZ} on output 53, output 91, \mathrm{CZ} on output 53, check 102, \mathrm{CZ} on output 53, check 103, \mathrm{CZ} on output 53, check 107, \mathrm{CZ} on output 53, check 108, \mathrm{CZ} on output 53, check 110, \mathrm{CZ} on output 53, check 111, \mathrm{CZ} on output 53, check 112, \mathrm{CZ} on output 55, output 56, \mathrm{CZ} on output 55, output 57, \mathrm{CZ} on output 55, output 58, \mathrm{CZ} on output 55, output 60, \mathrm{CZ} on output 55, output 61, \mathrm{CZ} on output 55, output 62, \mathrm{CZ} on output 55, output 65, \mathrm{CZ} on output 55, output 66, \mathrm{CZ} on output 55, output 67, \mathrm{CZ} on output 55, output 68, \mathrm{CZ} on output 55, output 69, \mathrm{CZ} on output 55, output 70, \mathrm{CZ} on output 55, output 71, \mathrm{CZ} on output 55, output 72, \mathrm{CZ} on output 55, output 79, \mathrm{CZ} on output 55, output 80, \mathrm{CZ} on output 55, output 81, \mathrm{CZ} on output 55, output 82, \mathrm{CZ} on output 55, output 83, \mathrm{CZ} on output 55, output 84, \mathrm{CZ} on output 55, output 86, \mathrm{CZ} on output 55, output 87, \mathrm{CZ} on output 55, output 89, \mathrm{CZ} on output 55, output 91, \mathrm{CZ} on output 55, check 102, \mathrm{CZ} on output 55, check 103, \mathrm{CZ} on output 55, check 107, \mathrm{CZ} on output 55, check 108, \mathrm{CZ} on output 55, check 110, \mathrm{CZ} on output 55, check 111, \mathrm{CZ} on output 55, check 112, \mathrm{CZ} on output 56, output 57, \mathrm{CZ} on output 56, output 58, \mathrm{CZ} on output 56, output 60, \mathrm{CZ} on output 56, output 61, \mathrm{CZ} on output 56, output 62, \mathrm{CZ} on output 56, output 65, \mathrm{CZ} on output 56, output 66, \mathrm{CZ} on output 56, output 67, \mathrm{CZ} on output 56, output 68, \mathrm{CZ} on output 56, output 69, \mathrm{CZ} on output 56, output 70, \mathrm{CZ} on output 56, output 71, \mathrm{CZ} on output 56, output 72, \mathrm{CZ} on output 56, output 79, \mathrm{CZ} on output 56, output 80, \mathrm{CZ} on output 56, output 81, \mathrm{CZ} on output 56, output 82, \mathrm{CZ} on output 56, output 83, \mathrm{CZ} on output 56, output 84, \mathrm{CZ} on output 56, output 86, \mathrm{CZ} on output 56, output 87, \mathrm{CZ} on output 56, output 89, \mathrm{CZ} on output 56, output 91, \mathrm{CZ} on output 56, check 102, \mathrm{CZ} on output 56, check 103, \mathrm{CZ} on output 56, check 107, \mathrm{CZ} on output 56, check 108, \mathrm{CZ} on output 56, check 110, \mathrm{CZ} on output 56, check 111, \mathrm{CZ} on output 56, check 112, \mathrm{CZ} on output 57, output 58, \mathrm{CZ} on output 57, output 60, \mathrm{CZ} on output 57, output 61, \mathrm{CZ} on output 57, output 62, \mathrm{CZ} on output 57, output 65, \mathrm{CZ} on output 57, output 66, \mathrm{CZ} on output 57, output 67, \mathrm{CZ} on output 57, output 68, \mathrm{CZ} on output 57, output 69, \mathrm{CZ} on output 57, output 70, \mathrm{CZ} on output 57, output 71, \mathrm{CZ} on output 57, output 72, \mathrm{CZ} on output 57, output 79, \mathrm{CZ} on output 57, output 80, \mathrm{CZ} on output 57, output 81, \mathrm{CZ} on output 57, output 82, \mathrm{CZ} on output 57, output 83, \mathrm{CZ} on output 57, output 84, \mathrm{CZ} on output 57, output 86, \mathrm{CZ} on output 57, output 87, \mathrm{CZ} on output 57, output 89, \mathrm{CZ} on output 57, output 91, \mathrm{CZ} on output 57, check 102, \mathrm{CZ} on output 57, check 103, \mathrm{CZ} on output 57, check 107, \mathrm{CZ} on output 57, check 108, \mathrm{CZ} on output 57, check 110, \mathrm{CZ} on output 57, check 111, \mathrm{CZ} on output 57, check 112, \mathrm{CZ} on output 58, output 60, \mathrm{CZ} on output 58, output 61, \mathrm{CZ} on output 58, output 62, \mathrm{CZ} on output 58, output 65, \mathrm{CZ} on output 58, output 66, \mathrm{CZ} on output 58, output 67, \mathrm{CZ} on output 58, output 68, \mathrm{CZ} on output 58, output 69, \mathrm{CZ} on output 58, output 70, \mathrm{CZ} on output 58, output 71, \mathrm{CZ} on output 58, output 72, \mathrm{CZ} on output 58, output 79, \mathrm{CZ} on output 58, output 80, \mathrm{CZ} on output 58, output 81, \mathrm{CZ} on output 58, output 82, \mathrm{CZ} on output 58, output 83, \mathrm{CZ} on output 58, output 84, \mathrm{CZ} on output 58, output 86, \mathrm{CZ} on output 58, output 87, \mathrm{CZ} on output 58, output 89, \mathrm{CZ} on output 58, output 91, \mathrm{CZ} on output 58, check 102, \mathrm{CZ} on output 58, check 103, \mathrm{CZ} on output 58, check 107, \mathrm{CZ} on output 58, check 108, \mathrm{CZ} on output 58, check 110, \mathrm{CZ} on output 58, check 111, \mathrm{CZ} on output 58, check 112, \mathrm{CZ} on output 60, output 61, \mathrm{CZ} on output 60, output 62, \mathrm{CZ} on output 60, output 65, \mathrm{CZ} on output 60, output 66, \mathrm{CZ} on output 60, output 67, \mathrm{CZ} on output 60, output 68, \mathrm{CZ} on output 60, output 69, \mathrm{CZ} on output 60, output 70, \mathrm{CZ} on output 60, output 71, \mathrm{CZ} on output 60, output 72, \mathrm{CZ} on output 60, output 79, \mathrm{CZ} on output 60, output 80, \mathrm{CZ} on output 60, output 81, \mathrm{CZ} on output 60, output 82, \mathrm{CZ} on output 60, output 83, \mathrm{CZ} on output 60, output 84, \mathrm{CZ} on output 60, output 86, \mathrm{CZ} on output 60, output 87, \mathrm{CZ} on output 60, output 89, \mathrm{CZ} on output 60, output 91, \mathrm{CZ} on output 60, check 102, \mathrm{CZ} on output 60, check 103, \mathrm{CZ} on output 60, check 107, \mathrm{CZ} on output 60, check 108, \mathrm{CZ} on output 60, check 110, \mathrm{CZ} on output 60, check 111, \mathrm{CZ} on output 60, check 112, \mathrm{CZ} on output 61, output 62, \mathrm{CZ} on output 61, output 65, \mathrm{CZ} on output 61, output 66, \mathrm{CZ} on output 61, output 67, \mathrm{CZ} on output 61, output 68, \mathrm{CZ} on output 61, output 69, \mathrm{CZ} on output 61, output 70, \mathrm{CZ} on output 61, output 71, \mathrm{CZ} on output 61, output 72, \mathrm{CZ} on output 61, output 79, \mathrm{CZ} on output 61, output 80, \mathrm{CZ} on output 61, output 81, \mathrm{CZ} on output 61, output 82, \mathrm{CZ} on output 61, output 83, \mathrm{CZ} on output 61, output 84, \mathrm{CZ} on output 61, output 86, \mathrm{CZ} on output 61, output 87, \mathrm{CZ} on output 61, output 89, \mathrm{CZ} on output 61, output 91, \mathrm{CZ} on output 61, check 102, \mathrm{CZ} on output 61, check 103, \mathrm{CZ} on output 61, check 107, \mathrm{CZ} on output 61, check 108, \mathrm{CZ} on output 61, check 110, \mathrm{CZ} on output 61, check 111, \mathrm{CZ} on output 61, check 112, \mathrm{CZ} on output 62, output 65, \mathrm{CZ} on output 62, output 66, \mathrm{CZ} on output 62, output 67, \mathrm{CZ} on output 62, output 68, \mathrm{CZ} on output 62, output 69, \mathrm{CZ} on output 62, output 70, \mathrm{CZ} on output 62, output 71, \mathrm{CZ} on output 62, output 72, \mathrm{CZ} on output 62, output 79, \mathrm{CZ} on output 62, output 80, \mathrm{CZ} on output 62, output 81, \mathrm{CZ} on output 62, output 82, \mathrm{CZ} on output 62, output 83, \mathrm{CZ} on output 62, output 84, \mathrm{CZ} on output 62, output 86, \mathrm{CZ} on output 62, output 87, \mathrm{CZ} on output 62, output 89, \mathrm{CZ} on output 62, output 91, \mathrm{CZ} on output 62, check 102, \mathrm{CZ} on output 62, check 103, \mathrm{CZ} on output 62, check 107, \mathrm{CZ} on output 62, check 108, \mathrm{CZ} on output 62, check 110, \mathrm{CZ} on output 62, check 111, \mathrm{CZ} on output 62, check 112, \mathrm{CZ} on output 65, output 66, \mathrm{CZ} on output 65, output 67, \mathrm{CZ} on output 65, output 68, \mathrm{CZ} on output 65, output 69, \mathrm{CZ} on output 65, output 70, \mathrm{CZ} on output 65, output 71, \mathrm{CZ} on output 65, output 72, \mathrm{CZ} on output 65, output 79, \mathrm{CZ} on output 65, output 80, \mathrm{CZ} on output 65, output 81, \mathrm{CZ} on output 65, output 82, \mathrm{CZ} on output 65, output 83, \mathrm{CZ} on output 65, output 84, \mathrm{CZ} on output 65, output 86, \mathrm{CZ} on output 65, output 87, \mathrm{CZ} on output 65, output 89, \mathrm{CZ} on output 65, output 91, \mathrm{CZ} on output 65, check 102, \mathrm{CZ} on output 65, check 103, \mathrm{CZ} on output 65, check 107, \mathrm{CZ} on output 65, check 108, \mathrm{CZ} on output 65, check 110, \mathrm{CZ} on output 65, check 111, \mathrm{CZ} on output 65, check 112, \mathrm{CZ} on output 66, output 67, \mathrm{CZ} on output 66, output 68, \mathrm{CZ} on output 66, output 69, \mathrm{CZ} on output 66, output 70, \mathrm{CZ} on output 66, output 71, \mathrm{CZ} on output 66, output 72, \mathrm{CZ} on output 66, output 79, \mathrm{CZ} on output 66, output 80, \mathrm{CZ} on output 66, output 81, \mathrm{CZ} on output 66, output 82, \mathrm{CZ} on output 66, output 83, \mathrm{CZ} on output 66, output 84, \mathrm{CZ} on output 66, output 86, \mathrm{CZ} on output 66, output 87, \mathrm{CZ} on output 66, output 89, \mathrm{CZ} on output 66, output 91, \mathrm{CZ} on output 66, check 102, \mathrm{CZ} on output 66, check 103, \mathrm{CZ} on output 66, check 107, \mathrm{CZ} on output 66, check 108, \mathrm{CZ} on output 66, check 110, \mathrm{CZ} on output 66, check 111, \mathrm{CZ} on output 66, check 112, \mathrm{CZ} on output 67, output 68, \mathrm{CZ} on output 67, output 69, \mathrm{CZ} on output 67, output 70, \mathrm{CZ} on output 67, output 71, \mathrm{CZ} on output 67, output 72, \mathrm{CZ} on output 67, output 79, \mathrm{CZ} on output 67, output 80, \mathrm{CZ} on output 67, output 81, \mathrm{CZ} on output 67, output 82, \mathrm{CZ} on output 67, output 83, \mathrm{CZ} on output 67, output 84, \mathrm{CZ} on output 67, output 86, \mathrm{CZ} on output 67, output 87, \mathrm{CZ} on output 67, output 89, \mathrm{CZ} on output 67, output 91, \mathrm{CZ} on output 67, check 102, \mathrm{CZ} on output 67, check 103, \mathrm{CZ} on output 67, check 107, \mathrm{CZ} on output 67, check 108, \mathrm{CZ} on output 67, check 110, \mathrm{CZ} on output 67, check 111, \mathrm{CZ} on output 67, check 112, \mathrm{CZ} on output 68, output 69, \mathrm{CZ} on output 68, output 70, \mathrm{CZ} on output 68, output 71, \mathrm{CZ} on output 68, output 72, \mathrm{CZ} on output 68, output 79, \mathrm{CZ} on output 68, output 80, \mathrm{CZ} on output 68, output 81, \mathrm{CZ} on output 68, output 82, \mathrm{CZ} on output 68, output 83, \mathrm{CZ} on output 68, output 84, \mathrm{CZ} on output 68, output 86, \mathrm{CZ} on output 68, output 87, \mathrm{CZ} on output 68, output 89, \mathrm{CZ} on output 68, output 91, \mathrm{CZ} on output 68, check 102, \mathrm{CZ} on output 68, check 103, \mathrm{CZ} on output 68, check 107, \mathrm{CZ} on output 68, check 108, \mathrm{CZ} on output 68, check 110, \mathrm{CZ} on output 68, check 111, \mathrm{CZ} on output 68, check 112, \mathrm{CZ} on output 69, output 70, \mathrm{CZ} on output 69, output 71, \mathrm{CZ} on output 69, output 72, \mathrm{CZ} on output 69, output 79, \mathrm{CZ} on output 69, output 80, \mathrm{CZ} on output 69, output 81, \mathrm{CZ} on output 69, output 82, \mathrm{CZ} on output 69, output 83, \mathrm{CZ} on output 69, output 84, \mathrm{CZ} on output 69, output 86, \mathrm{CZ} on output 69, output 87, \mathrm{CZ} on output 69, output 89, \mathrm{CZ} on output 69, output 91, \mathrm{CZ} on output 69, check 102, \mathrm{CZ} on output 69, check 103, \mathrm{CZ} on output 69, check 107, \mathrm{CZ} on output 69, check 108, \mathrm{CZ} on output 69, check 110, \mathrm{CZ} on output 69, check 111, \mathrm{CZ} on output 69, check 112, \mathrm{CZ} on output 70, output 71, \mathrm{CZ} on output 70, output 72, \mathrm{CZ} on output 70, output 79, \mathrm{CZ} on output 70, output 80, \mathrm{CZ} on output 70, output 81, \mathrm{CZ} on output 70, output 82, \mathrm{CZ} on output 70, output 83, \mathrm{CZ} on output 70, output 84, \mathrm{CZ} on output 70, output 86, \mathrm{CZ} on output 70, output 87, \mathrm{CZ} on output 70, output 89, \mathrm{CZ} on output 70, output 91, \mathrm{CZ} on output 70, check 102, \mathrm{CZ} on output 70, check 103, \mathrm{CZ} on output 70, check 107, \mathrm{CZ} on output 70, check 108, \mathrm{CZ} on output 70, check 110, \mathrm{CZ} on output 70, check 111, \mathrm{CZ} on output 70, check 112, \mathrm{CZ} on output 71, output 72, \mathrm{CZ} on output 71, output 79, \mathrm{CZ} on output 71, output 80, \mathrm{CZ} on output 71, output 81, \mathrm{CZ} on output 71, output 82, \mathrm{CZ} on output 71, output 83, \mathrm{CZ} on output 71, output 84, \mathrm{CZ} on output 71, output 86, \mathrm{CZ} on output 71, output 87, \mathrm{CZ} on output 71, output 89, \mathrm{CZ} on output 71, output 91, \mathrm{CZ} on output 71, check 102, \mathrm{CZ} on output 71, check 103, \mathrm{CZ} on output 71, check 107, \mathrm{CZ} on output 71, check 108, \mathrm{CZ} on output 71, check 110, \mathrm{CZ} on output 71, check 111, \mathrm{CZ} on output 71, check 112, \mathrm{CZ} on output 72, output 79, \mathrm{CZ} on output 72, output 80, \mathrm{CZ} on output 72, output 81, \mathrm{CZ} on output 72, output 82, \mathrm{CZ} on output 72, output 83, \mathrm{CZ} on output 72, output 84, \mathrm{CZ} on output 72, output 86, \mathrm{CZ} on output 72, output 87, \mathrm{CZ} on output 72, output 89, \mathrm{CZ} on output 72, output 91, \mathrm{CZ} on output 72, check 102, \mathrm{CZ} on output 72, check 103, \mathrm{CZ} on output 72, check 107, \mathrm{CZ} on output 72, check 108, \mathrm{CZ} on output 72, check 110, \mathrm{CZ} on output 72, check 111, \mathrm{CZ} on output 72, check 112, \mathrm{CZ} on output 79, output 80, \mathrm{CZ} on output 79, output 81, \mathrm{CZ} on output 79, output 82, \mathrm{CZ} on output 79, output 83, \mathrm{CZ} on output 79, output 84, \mathrm{CZ} on output 79, output 86, \mathrm{CZ} on output 79, output 87, \mathrm{CZ} on output 79, output 89, \mathrm{CZ} on output 79, output 91, \mathrm{CZ} on output 79, check 102, \mathrm{CZ} on output 79, check 103, \mathrm{CZ} on output 79, check 107, \mathrm{CZ} on output 79, check 108, \mathrm{CZ} on output 79, check 110, \mathrm{CZ} on output 79, check 111, \mathrm{CZ} on output 79, check 112, \mathrm{CZ} on output 80, output 81, \mathrm{CZ} on output 80, output 82, \mathrm{CZ} on output 80, output 83, \mathrm{CZ} on output 80, output 84, \mathrm{CZ} on output 80, output 86, \mathrm{CZ} on output 80, output 87, \mathrm{CZ} on output 80, output 89, \mathrm{CZ} on output 80, output 91, \mathrm{CZ} on output 80, check 102, \mathrm{CZ} on output 80, check 103, \mathrm{CZ} on output 80, check 107, \mathrm{CZ} on output 80, check 108, \mathrm{CZ} on output 80, check 110, \mathrm{CZ} on output 80, check 111, \mathrm{CZ} on output 80, check 112, \mathrm{CZ} on output 81, output 82, \mathrm{CZ} on output 81, output 83, \mathrm{CZ} on output 81, output 84, \mathrm{CZ} on output 81, output 86, \mathrm{CZ} on output 81, output 87, \mathrm{CZ} on output 81, output 89, \mathrm{CZ} on output 81, output 91, \mathrm{CZ} on output 81, check 102, \mathrm{CZ} on output 81, check 103, \mathrm{CZ} on output 81, check 107, \mathrm{CZ} on output 81, check 108, \mathrm{CZ} on output 81, check 110, \mathrm{CZ} on output 81, check 111, \mathrm{CZ} on output 81, check 112, \mathrm{CZ} on output 82, output 83, \mathrm{CZ} on output 82, output 84, \mathrm{CZ} on output 82, output 86, \mathrm{CZ} on output 82, output 87, \mathrm{CZ} on output 82, output 89, \mathrm{CZ} on output 82, output 91, \mathrm{CZ} on output 82, check 102, \mathrm{CZ} on output 82, check 103, \mathrm{CZ} on output 82, check 107, \mathrm{CZ} on output 82, check 108, \mathrm{CZ} on output 82, check 110, \mathrm{CZ} on output 82, check 111, \mathrm{CZ} on output 82, check 112, \mathrm{CZ} on output 83, output 84, \mathrm{CZ} on output 83, output 86, \mathrm{CZ} on output 83, output 87, \mathrm{CZ} on output 83, output 89, \mathrm{CZ} on output 83, output 91, \mathrm{CZ} on output 83, check 102, \mathrm{CZ} on output 83, check 103, \mathrm{CZ} on output 83, check 107, \mathrm{CZ} on output 83, check 108, \mathrm{CZ} on output 83, check 110, \mathrm{CZ} on output 83, check 111, \mathrm{CZ} on output 83, check 112, \mathrm{CZ} on output 84, output 86, \mathrm{CZ} on output 84, output 87, \mathrm{CZ} on output 84, output 89, \mathrm{CZ} on output 84, output 91, \mathrm{CZ} on output 84, check 102, \mathrm{CZ} on output 84, check 103, \mathrm{CZ} on output 84, check 107, \mathrm{CZ} on output 84, check 108, \mathrm{CZ} on output 84, check 110, \mathrm{CZ} on output 84, check 111, \mathrm{CZ} on output 84, check 112, \mathrm{CZ} on output 86, output 87, \mathrm{CZ} on output 86, output 89, \mathrm{CZ} on output 86, output 91, \mathrm{CZ} on output 86, check 102, \mathrm{CZ} on output 86, check 103, \mathrm{CZ} on output 86, check 107, \mathrm{CZ} on output 86, check 108, \mathrm{CZ} on output 86, check 110, \mathrm{CZ} on output 86, check 111, \mathrm{CZ} on output 86, check 112, \mathrm{CZ} on output 87, output 89, \mathrm{CZ} on output 87, output 91, \mathrm{CZ} on output 87, check 102, \mathrm{CZ} on output 87, check 103, \mathrm{CZ} on output 87, check 107, \mathrm{CZ} on output 87, check 108, \mathrm{CZ} on output 87, check 110, \mathrm{CZ} on output 87, check 111, \mathrm{CZ} on output 87, check 112, \mathrm{CZ} on output 89, output 91, \mathrm{CZ} on output 89, check 102, \mathrm{CZ} on output 89, check 103, \mathrm{CZ} on output 89, check 107, \mathrm{CZ} on output 89, check 108, \mathrm{CZ} on output 89, check 110, \mathrm{CZ} on output 89, check 111, \mathrm{CZ} on output 89, check 112, \mathrm{CZ} on output 91, check 102, \mathrm{CZ} on output 91, check 103, \mathrm{CZ} on output 91, check 107, \mathrm{CZ} on output 91, check 108, \mathrm{CZ} on output 91, check 110, \mathrm{CZ} on output 91, check 111, \mathrm{CZ} on output 91, check 112, \mathrm{CZ} on check 102, check 103, \mathrm{CZ} on check 102, check 107, \mathrm{CZ} on check 102, check 108, \mathrm{CZ} on check 102, check 110, \mathrm{CZ} on check 102, check 111, \mathrm{CZ} on check 102, check 112, \mathrm{CZ} on check 103, check 107, \mathrm{CZ} on check 103, check 108, \mathrm{CZ} on check 103, check 110, \mathrm{CZ} on check 103, check 111, \mathrm{CZ} on check 103, check 112, \mathrm{CZ} on check 107, check 108, \mathrm{CZ} on check 107, check 110, \mathrm{CZ} on check 107, check 111, \mathrm{CZ} on check 107, check 112, \mathrm{CZ} on check 108, check 110, \mathrm{CZ} on check 108, check 111, \mathrm{CZ} on check 108, check 112, \mathrm{CZ} on check 110, check 111, \mathrm{CZ} on check 110, check 112, \mathrm{CZ} on check 111, check 112

Or no Clifford gate at all: run \mathrm{T}^3 on rotations 5, 8, 16, 21, 28, 44, 62, 63, 77, 87, 92, 94, 100, 104, 113, 119, 120, 121, 123, 130, 132, 133, 145, 149 and 108 more (listed below); \mathrm{T}^5 on rotations 0, 2, 3, 11, 12, 13, 15, 18, 20, 24, 26, 34, 35, 41, 45, 46, 52, 53, 56, 61, 67, 68, 70, 71 and 8 more (listed below); \mathrm{T}^\dagger on rotations 6, 7, 9, 10, 33, 36, 39, 40, 42, 50, 51, 54, 55, 69, 75, 80, 83, 89, 91, 93, 95, 209, 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 132 rotations at T³

5, 8, 16, 21, 28, 44, 62, 63, 77, 87, 92, 94, 100, 104, 113, 119, 120, 121, 123, 130, 132, 133, 145, 149, 150, 153, 155, 157, 164, 166, 167, 168, 170, 171, 173, 176, 177, 178, 179, 180, 182, 185, 193, 194, 195, 196, 198, 200, 201, 203, 205, 208, 217, 220, 221, 222, 224, 225, 227, 230, 231, 232, 233, 236, 237, 240, 243, 244, 245, 246, 250, 251, 254, 255, 256, 257, 258, 261, 262, 263, 264, 266, 268, 270, 275, 277, 280, 281, 283, 290, 292, 296, 300, 302, 303, 304, 305, 306, 309, 311, 316, 318, 319, 321, 322, 329, 331, 333, 335, 336, 339, 343, 344, 350, 352, 358, 361, 362, 364, 368, 373, 375, 385, 387, 388, 389, 391, 393, 399, 403, 407, 408

All 32 rotations at T⁵

0, 2, 3, 11, 12, 13, 15, 18, 20, 24, 26, 34, 35, 41, 45, 46, 52, 53, 56, 61, 67, 68, 70, 71, 73, 82, 84, 88, 97, 101, 117, 210

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/409.101.3.a.json"
record = json.load(urllib.request.urlopen(url))
k = record["parameters"]["k"]
gates = equivalent_gates(k, record["gate"]["monomials"])
lines = sorted(name(g, k) for g in gates)
print(len(lines), "equivalent gates")
with open("equivalent-gates-409.101.3.a.txt", "w") as out:
    out.write("\n".join(lines) + "\n")

Distance

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

Exactly 1,585 faults of weight 3 are undetectable and damaging, so A_{3}=1{,}585. If each rotation fails independently with probability p, an accepted run has a damaged output with probability A_{3}\,p^{3}+O(p^{4}).

A damaging fault of weight 3 sits on columns [0,2,216].

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_409_101_3_27ab58f50806.json",
  "label": "paired_column_contraction_409_101_3_27ab58f50806",
  "N": 114,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_409_101_3_27ab58f50806 (source catalogue id paired_column_contraction_409_101_3_27ab58f50806); construction: Existing triorthogonal code with physical paired-column contraction; matrix 27ab58f50806c670...; the release states d=3 (exact), gamma=1.2730557027512523 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/27ab58f50806c670bd302cd7488d386ec1fb7fdb3f4fc00f033e80d3ff766cc1.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/409.101.3.a.json"
record = json.load(urllib.request.urlopen(url))
columns = record["circuit"]["columns"]
k, N = record["parameters"]["k"], record["parameters"]["N"]

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

Raw record

Show the JSON this page is built from

Source: master_catalog.json, factories[1036].