Magic State Factory Catalog

[\![558,\,146,\,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}=6{,}309
\gamma_\rho
1.2204
V_{\mathrm{ex}}
146
wires
N=158
Clifford correction
none with T powers
found by
AI search pure T

The circuit

The 158\times558 matrix. Rows are wires and columns are rotations. A 1 means the wire takes part in the rotation, and the number beside each wire is its row weight. Scroll sideways to see every column.

  • output wires
  • check wires, measured and postselected
wire
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550
out 0 (191)1···1···1·11·1····1·1·1·11···111·1···1·1··1····1·····1···1·1···1··········1···1·1······1···11111·1··1····1111·1···1···1···11···1·1·1·1·1···1···1·······111·······1·······1·1··1·1··1···1·1···11·1·1····1·1··1···11·1··1·1·1···11111···1····1···11·1··111··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···11·······1··1·1·····1··111·1·1··1··1····1··111·1······1···1·····11·1·1··1·1··1····1·1·····11·1········1·······1·1··1··1···1····1·1··111·1··1·1···1·····1111·1·1····1·11111·····1····11·1···111··1·1·1··1·1··1·1···1·····
out 1 (207)1······11·11·1·1··11111111······11·······11·1·1·····11··11·······1··1·1·······1111111·······1·11·11···1··1··11·1···1·11········111·1111·······11·1·1·1··1··1···1······11·1111·······1111·11·······1··111······1111·1···········1······1·1·111··1····1111·11·······11·111······11··1···11·1·1·1··1··111·11111······11·········1·1··1·1······11·11········1·11······1111111·····1··1·1··11···1··1····11·1······1·11········111··1111·······1111·1··1······1·1······11·1111·········1·111·11·····1111········11·111···········1···1·1·1·11···1·····1111·11······11··111········1·
out 2 (215)·1··1···1··1·1··1··11·11·1···1··1··11··1·11····11···11··1·11·1···11·1···11·····11··11·1····1111··1··111·····1111·····1···1··1···11·11··1··1···1··1····1··1·····111··1··1··1···1··1·11··11···11··1······1·····1·11··1·····11·····111····1··1·1··1·11·11···1111··11·11111··1·1·······1·1·1···1·1···1··11··11·1·1····1··1···1··11·1·····1·1·1·11·1··11··1··111··11····11··111···111·1····1··111·······1111········1·····1··1·11··11···1···1·1·1···1···1······111···1·1··1···1···1··11···11··11·1····1······1··1·1·1···11·······111·1··1··1···1·11··11···1111·11·111·11·1···1·····
out 3 (199)1···1···1·11·1····1·1·1·1······11··11··········1·····1···1·1·1·1·······11····1·1·1·11····11··1··1·1·1····1··1·11··1··11·11··1···1·1·1··1···1···1·······111······1·111·11··1111···11·111·1····11·1·1····1·1·····111·1··11·1···11··1····111·111··11·1··1······1··1··1···1·····1··1··1··1·1·1·1·1·····1·1··1·1······11··1···1···········1······1··1··1··11·····11···1·1·1·11··11··1····1··1·1····1····1·11·····1··11··1·1··1·1·1··1···1····1·1·····11·1·······1·11·111··1111····1·1·1·11·1···111·1··1·1·······1·1111··1····11···1·111·1·11···11·1···1······1·1··1····1······1··1·
out 4 (79)1··········1·············1·····1·········1···1···············1····1·····1··········1···1····1·1·1·····1···11··11·····1················1···········1············1·······1···········1·····1··················1···1·····1·······1··1····1··1·1···1······11·11·········1·············1········1···············1·····1···········1·····1·················1···1···1·········1··1···1··1··1······1·····11··11········1·················1························1·······1·············1······1···············1·····1··1········1···1·1··1··1····1·······11·11········1··············
out 5 (215)·1········1···111·111··11·····1·11·11·······1·1·11··1···111··1·1·11·1···111···11··111··1·······1·····11··111·1·1··1··11··1111··11···111···11··11·1·····1·······11···1····111···111·11····11·111·1·1······1··11···1····1·11···1111·····11··111···11··1·11·1·1····1··1·1·············1·····1····1·11·111···11····1··11·1···1········1·1····111··11·1···11·111··111··11··111·1········1······11··1··11·1·1·····1··11····111111····111·····11111····1······1··11····1···111····111··11·····111111·1····1···11·····1·1·11····11·11··11··1·11····11···1·11·1·1···1··1··1············
out 6 (191)11··1··11·1···1·····1··11····1·1····11·1··1·11···1···1··111·········1····11··1··11111·1···11111··············1111··1··1··11······11·11···1·······1·····1·111···11··1··1··11·······1··1······11···1···1···1·11·11·1········1··111·1····111··11··1··11·11····1···1··1··1·····11·····11·111·1····1······1···11··1···1·······11·1··1··11······1·1·11·1········1···11·1··111111··1111·1··················111···1··1··1····11····11··11····1·····1····1··11···1·11··1··1··11·········1···1·····11··1·1···1··11··11··1·····1···11·1·1·111···11··11··11··11····1··1··1···1······11····
out 7 (223)11·····1······1···1·1·1·1····111·1·1111·····11·1·····1···11·11···11·1·11·1···1·1·1·11·11···1··1111··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·11111·····1·1·······1···1·1··1·111··1···11·1·1····1···1111·1········1···11··11····1·······11·1··111··11·1··1··111·1····1··1··11··1·······1····1·1··1·1··1·1·1·1·1···11·······11·1······1··1·1·1·1··11111·1··1·1·1·1111··1···1·11·1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1111·1······1·1·······1···1··1···1·1·11··1··111·1··1····111·1··1·····1····11···11·1·········11·1···111··11·1·1··11·1·1·····1··1·
out 8 (223)········1··1··111·1··1··11···1·1·1···1····1·11·111·······1··11·1·11·1··11·1··1·11··11·1····111111·1·11···1·1···11·1··1··1·11···111·11·1·11·1··1··1···1··11·1···111··1·11·1··11··1·1·1··1·1··1·····1··11··1·11··11··1··1·1·······111····111·······11···1··1···1····11111·····11·········1···1··1·11·1···1··11·1···1·1······1····1··11·1···11····1···1·11·111·11·1·1·11··111···111·1·11··1·11···1···1···1···1·1··1···1··11·111··11·1··11··11·1··1··1·1····1·111···111·1··11···1··1·1···1·1·1····111··1··11···1·1·11·1·········111·111·········11····1··1···1···111·11······1····
out 9 (215)·1·····1·····1·1··1·1·1·11······1····1·1·11·1111·····1···11·11···1··1·1·1·1···1·1·····11··1·11····1·1·1··1111··11··1·1····11···1·1·1·1··111···1··1·1···1·1·····11·111·1···1·1·1·1······11·1··11·1·1····1···1111·········1·1···111··1···11·1·1···1·1··111·111·1··1··111·1·1·1·······1··1······1··1··1·1··1·11······1·······1·11·1··1111······1··1·1·1·1··1·11·1·1··1·1····11·1·11·······1·1·1··1··111··1···1··1·1······11·1·1··1·1···11·1·1·11···1··1······11·11·11···1·1·1··1········11·1·111·1··1····111·1·······1·1····1·11···11·1··1····1·1···111·111·1·1··11·1·11···1·····
out 10 (47)··············11············1······1·1·······11··1······················1··········1········1···1·····················································1·1··········1·······1···1·········11·····1·····················1·······1·······1····1··················································1·1····················1····1········11·····1··················1·········1······1·····1··························································1·1············1·······1····1···········11···1···················1········1·····1·····1········································
out 11 (215)1······1··1····11··11·11·1····11·1··11·1··1····111··11··1···1··1··1···1··1·····11···1··1·11··1111·1·111···1111111·11·11··1··1···11·11···11·1···1·1·1·11·11········11··11·1··1·11·1··1··11···1··········1·1·1··1··1····1··11···1·11······11·····1·11·1111·1···1·········1·1·1······1···1··11·····11··11··11·1···1·1·1·····11·1··1·····1···1111·1····1··1··1·1··1····11···1·111··1·1·11··1·111·····111111···1·11·11····1··1·11··11····11··1·111·11·1·1·········11··11·1··1·1·1·1···1···11··1·······1·1··1···1···1·1··11····1··11···11·······1·11··1111·1···1·········11···1·····
out 12 (207)·1········11··1·1·111········11111··1····1···11·11··11····111·······1·11111·········1··1··11·1·1······1··111··1······11·111········111111········1·1··1·1111·······11·1······111···1··111·1···1··11··1···1·······1·1·········111·1····1·111····11111·1·1·11111······1111·1·····1···1·····1·1··1··1·111·······1·1·111·····1···1·····11····1111····111······111111········1·1·11·1···1·······1··11·11··1·········11··1·11·······1111·11······11··1·1·11···1·····1·11······11·1····1···111·1··1·111···1··········11········11·1·1·1·111······11111··1·1·11111·····1·1111·······1·
out 13 (175)····1···1·11······1·1·1·1····111·1···1·1··1····1·1···1···1·1·1·1··1·······1···1·1··1··1····1··1111··1·1··1··1··1··1··11···11···1·1·1·111···1···1·····1·111·····1·1·······1·1····1··1···1·1···11···1····1·1·····1·1·1··1·1·1····1··1····1········1·1··1···1··1··1··1···1··1·1·········1·1·1·1·······1·1··1·1··1·1·1·1····1·1·1··1·····1····1·1··1··1··11··1·····1··1·1··1·1···1···1·11·1··1·1··1····1··1·····1··11·····11·1·1··1·11·1····1·1···1·11·1······1·1·······1·1·····1···1····1·1··11··1··1·1·······1··111·1·1······1··1·1··········1·1···1···1··1·1··1····1·1···1·····
out 14 (231)·1··1·1·1··1··111··11·11·1···1··1···1··1·11·1·1111··11··1·11·····11·1···11·····11·111·1····1111·11··111·····1111·····1···1··1···11·11··1··11··1··1···1··11·····111··1··1··11··1··1·11··1··1·1··········1····11·11··1·····11··1··111····1··111··1·11·11···1111··11·11111··1·1·······1·1·1···1··1·11··11··11·1·1····1······1··11·1··1·11···1111·1··11·····111··11····11·1111···111·1··1·1··111·······1111········1·····1··1·11··11···1···111·1··1··1·1······111···1·1··11··1···1··11···1··11·······1·····11··1·1·1···11···1···111·1··1·11···1·11··11···1111·11·111·11·1···1·····
out 15 (215)11··1·········11··1111111······111··11·1·1··1····1··11··111111·1·······1·11··1·····1···1····1··1·11···1··11·111·1·1·····11111········1·11111··········1·1··1··········1··111111·1111····1·······1·1··111·1·1·1········1·111···1··1····1·11111··1····11·1··1111·11········1·11····111·1········1·1··111·1111······111·····11·11····1·······111·11·111·11·····1·11·1·····1··1···1····1··11···1··1··1·111····1·1······1·1111·······1··111·11······1·1······1········1··111111··11·11·····1·····1·1111·1··1·1·······1·111····1···1·1·111·11···1·····11·1··111111········1···11····
out 16 (223)····1··11··1·1··1·11···111···1······1····1··111·11··1···11·11·····1···1··11···11···11·11·1·1·1··111··11··1···1·11··1·1···1111··11···11·111·········1·1111······1·111··11···11··111··1·····1·111·1·1········11·111··1····11····11111·1··111·1····11··1····11·11·1··1·1·11·············111···1·1···1·11····111·1···········1···1····111····111··11··11·····1·1··11··11···11111·1·1····1·11··11··1·····1·1···1··1·1·····111111····11··111······1·1111········1·111··11···11···111···1······11111·1·······11··11·1·1··11·····1·1111·111··1·····11···1····11·111··1·1··11··········
out 17 (207)11··1···1··1·11·1··11·11·1····1··1·······1··111111··11··1·11·1···1··1··11·1··11··1·1·····11··111··1·11······11·1·····1··1·11···1··1··111··1···1··1·······1········11··1··1··11·11·1··11·1·1·1··········1·····1·1···1··1·1····1111········1·1·····11·11····111··11·11111·····1··1··11·1·1···1·11··1··11··11·1···1···1·········1····1111···1111·1··11··1··1·1·11·1·11··1·1···11··111·1···1·11········11·1········1···1··11·1··1···11·1···1·1·1·······1·········11··1··1··11··11··1···11·1·11·······1······1··1···11·1·····11·11·····1··1······11··11····111·11·111·11······1··1·
out 18 (207)11·······11··1111·11···11·····1111··1····1··111·11··1···111··1·1·11·1····11···11··1·1·11·······11····11··111·1·1··1··11··1111··11···11····11··1··1···1·1·······11···1··1·11····111··1·····1·111·1·1······1··11···1······11···1·1······11··1·1···11··1·11·1·1····1··1·1············11·····1···11·11·11····11····1·111·····1···1····111····111··11·1···11·111···11··11··1·111········11·····11··1··11·1·1·····1··11····111111····11······111·1··1·1·········11····1·1·11·····111···1······11111·1····1···11·····1···11····1··1···11··1··1····11···1·11·1·1···1··1··1············
out 19 (215)·1········1··1111·11···11·····1·11·111···1··1·1·11··1···111····1·11·11··111···11··111··1·····1·11····11··111·1·1··1··11··1111··11···111···11··11·1···1·1·······11···1····111····11··1····11·111·1·1······1···1···1·1··1·11···1111·····1···1·1···11··1·11·1·1····1··1·1·············1·····1···11·11·11····11····1··11·1···11··1····1·1····111··11·1····1·111··111··11··111·1····1···11·····11··1··11·1·1·····1··11····111111····111·····11111··1·1·········11····1···111·····11···1·····111111·1····1····1·····111·11····11·11··1···1··1····11···1·11·1·1···1··1··1············
out 20 (87)1······1·················1·····1············111··1···········1····1·····1··········1··11······1·1·····1···11··11·····1················1·····1··················1·······1················111·····1···········1···1·····1·······1·11·······1·1···1······11·11·········1·············1···1····················1·····1················111·····1··········1···1···1·········1·11······1··1······1·····11··11········1·················1························1·······1···················111···1··········1·····1··1········1··11····1··1····1·······11·11········1··············
out 21 (215)·······1··11·1111··1··1·11···111·1··11·1··1·1··111··1····1·1·1···1·····111····1·1·1·1·11·1·1··11··1·1·1···111·1111·1·11·11·1···1·1··1·11·11···1·······111·11···11·1·······1·11·11··1··1······1··11···1·1·1·1111··1·1··1·1·1·····1······1····1····1·11··1····1······11·1····1···1······1··1·1·11·11··1···1·11·1·1·1·1·····11·1··1··1··1···111···1··1··1··1···111···1·1·1·1111·1···1·1···1·1·1·····111·11···1··1·11··1·1·1·1·1···1·1·1·1·1·1·····111··1···1·11·1·······1·11··11···1···1·····1·11·1·1·1··111·1···111·1·1·······1···1·····1·····1·1·1··1····1·····11··1·····1···1·
out 22 (55)··············11·························1··1·1··1································11···1····1·············11···1··1···································1·1··························1····1·1·····1····························11··1····1···············11··1······1····························1·1····························1····1·1·····1···························11··1···1··················11···1·····1··································1·1······························1·····1·1···1···························11···1·1··················11··1·······················
out 23 (223)11········1··1··1·11·1·111···1·1·····1·1·11·1·1·1···1···111··1·1·1··1··11····1··11····1··11111··111··11··1···1····1···1·1········111······11··11·1···1111···1··1·111··1····11111··11·1111·1·111···1······1··11··11········1··11·1·1···1111·1····11··1····111····1··111···1·11··1··11·····1···1···1·11··1·111·1···1········1·11·1··1·1····1·1··11·1···11·1·1·11···1··11···1·11111····1·11··11··1·····1·······1···1··1·······11·1········11111··1111········1·111··1····1111·1···11··1111·1111··1····1···11····11·····1···11··1·11111··1·····11···1····111···1··11·1··1···11··1·
out 24 (207)11·····11······11····11111······11·1···1·1······11······111111···11·····1····1·····11····1···1·11·····1·····1111···1·······11····1·111·11·····11·········11·····111···11···1····1111··1111····1··1····11·1··1·11······1·111··1·1111····11111···11111···1···111····111······11··1··11··11········11·····11111······11·1······11···········11···11·111·1··11···1···1·····11··1···1···11······1·······1111······1·········11··1··111··11····11········11······111···11···1·····11·11···1111···1·1··11·1···1··11····1·111···1··1111·1111·1····11111····1···111···111········11·11·
out 25 (223)11········11·1·11·111····1·····1·····1·1··1·1···11··11····111·····1·1·1·1····1111111·····1······111···1··111···1·····11····11··1111····11········1·1·1···111····111····1·1111··1111111··1·····1··11··1···1······11·1··1·111··11·111·········1··1111111·1···111·····11111···11·····11·····1·1·1··11·111·····1·····1········1·1··1··1······1111····111·····111·1···1111111···1········1·11···1··1··11···1·······111······111111······11······11·1····11···1··111····1·1111···111·111·1··1····1·111···1·········1111·111···11··111·······1···11111·11·1···111····11·111····11····
out 26 (191)········1····1·11·1·11·1·1·····1·1········1·11·111···1··1··1········1·1···1··11·1·111·····1·1·11··1·1····1·1·1·11·········1····1·1··1·11·11····1·1·1···11·1······1·11·····1·1·11·111··1··1···1··111···1··1·1·1·11·····1··1····1·1·1·········1··1·1·1·1······1···1·1·11·1·11·1··1·······1·····1··11·1·1·1·1·1·····1·1···········1··11·1···11·1·1···1·······11···1·11·1·111···1·1··1·1···1·1····1···1·1·1···1···········1··1·1···1·1·1·1·1··111···11··1·······1·1·1····1·1·1·1·1·11···1··1··1·111·1··1··1·1··1·1··1··1·····1··1·1·······1···1·1·1··1······1··1·1·1·1·11····1··1·
out 27 (207)1······11·1·······11·11··1···1·111·1·1···11··11·····1······11··1····1··1········11··1·····111··1·11··11··1·11·1···11·11·1··11····11··1111·11·····1····11·11·····1··1···1····111111·1·1··1·1·11··111···11·····111·1····1·11·····111····1···1·······111····1··11··1·1·11···1······1·1···11·1·········11··11··1·1···111·1····1··1·1···11······1······11··1···1·1·······11··1···111····1··11··11··1···11·1······11·11··1···11··11···11·11··11··1···11··11······1··1···1····111·111··1··1··1·111·111·11······1·11··1·1·11·······111·1···1·········11·1····1··11·1·1·1·1··1·········
out 28 (199)·1··1··11·11·11··········1···11·11·1·1·····111············111··1·11·1·1·1·········1···11·111···1·11·······11····1·11··1···············111111··11·1·1·11·········11111·11·11·1··1·····1··11···············1·11111·1·1··1······1····1···1111111·········11··1111·11·111111···········1·111·1·1·11············1·1·1··11·1····1·······11·············111··1·1111·1········1··11111·····1··11·········11·······1·11··1················1·111·111111·11···········1111·111·11·1···1·······1··11···········1··111·11··111·······1·····111111·11···········11··111111·111·111··········
out 29 (175)1···1···1·11·1····1·1·1·11···11··1·1·1·1·11··1·1·1·······1·1·1·1··········1···1·1·····1····1··11·1··1·1··1··1··1··1··11···11···1·1·1·1·1···1···1·······111·······1·····1·1····1·1······1·····11···1·1··1·1·····111·1··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··1·11·1·1···1·1····1·11·1···1·1····1····1··1··11········1··1·1····1···1···1·1··1··1·1··1····1··1·····1··11·····11·1·1··1·1··1····1·1·····11·1········1·····1·1····1··1········1····11··1··1·1·······1·1111·1·1····1·1··1·1····1·····1·1···1···1··1·1··1····1·1···1·····
out 30 (31)1············1·················1·········1···················1·····················1············1·····································1··············1·················1···········1··········1·············1·················1············1······································1··········1···················1···········1··········1············1·················1············1············································1············1···················1·············1··········1···········1·················1···········1········································
out 31 (71)··············11·························1··1·1··1······················1·········1····1···11·1·······1···11··11·····1································1·1··························1····1·1·····1·····················1······1···1···11··1·····1······11·11·········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·······11·11········1··············
out 32 (207)·1··1···1··1··1·1··11·11·····1·11··111·1··1·11111···11··1·11·1···11·1···11·····11·1·1······11···11··111·····11···········1··1···11·11··1··1···1··1···1···1······11··1·····1···11·1··1··1·11·1···1······1·····1·11··1·····11··11··11······1111··1111·11·····11··11·11·11··1·1·······1·1·1···1··1··1··11··11···1···11··1···11·1··1··1111···1·11·1··11··1··111··11····11·1·1····11·····1·1··1111······11················1··1·11··11···1···1·1·1··1····1·······11···1····1···1·1·1···1···1·111··1····1······1··1·1·1···11···11···11···11·11···1111··11·····11·11·11··11·1···1·····
out 33 (191)····1···1·11·1·1··1·1·1·1····11··1·1···1··1····1·1···1···1·1···1··1·····1·1···1·1·····11···111·111··1····1111·1···1···1···11···1·1·1·111···1···1·······1·1·····1·1·····1·1····111··1···1·1···11···1····1····1··1·1·1····1·1···11·11···1··1·····11·1··111··1·1··1··1·1·1··1·1·········1·1·1·1·1··1··1·1··1·1··1·1···1·1······1··1·····1····1·1··11·1···1··1···1·1··1·1····11··111···11·1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1·····1··1······1·1·····1·1····1·11···1····1·1··11··1··1·····1···1··11··1·1····1·1·111··1·······11·1···111··1·1·1··1·1··1·1···1·····
out 34 (215)····1···1·1···11··1···11······11·1···1·1·11··111········1···11···11···11··1····11··1······1··1·111··111··1111·1······11·1·1·1···11···11·1·1···1····1·1····11····11·1··11··11·1···1·11·1···1·1·1··11··1·1·1···1·111·······11··111·11·····1··11··11··1···1·11··1·11·111··1···1···1·····1·1·1····1·1··1····11·····1·1·1······1·11·1···111········1····1·1··11·11··1···11··1····1··1···11·1··111··1··111·1·········11··1··1·1·11····11··1··1·1··1·1·····1···1··11·1··11··11·1····1··11··1···11·1·111·1·1····1··1·11····11···11·1·11··1···11···11··1····1111··111·111···1····1···1·
out 35 (207)····1··11··1··1·1·11···11····1·····111···1···11·····1···11·11·····1···1·111···11··111·1··111·····11··11··1···1·11··1·1···1111··11···11·111·········1···11········111··11····1···11··1···1·1·1111··1········11·111··1··1·11···1111·1·····11······11··1····11·11·1··1·1·11·············111···1··1··1·11····11··1·······1···11··1·····11······1··11··11·····1·1·111··11··1111·111········11··11··1·····1·1···1··1·1·····111111····11··111······1···11··········111··11····1····11···1····1·1111··1·······11··11·1·11·11····11·11·1··11········11···1····11·111··1·1··11··········
out 36 (191)11··1··11·11···1·············11111·······1··11···1········1111·1·1··1·············1···11·1111··1·11·······11····1·11··1················11111··11·1·1····1······111111·1··1111······1····11······1········1·1·11111·11········1····1····111111·········11··1111·11·111111··········11·111·1·1····1············1·1·111·········1····11······1······111·11·1·1···········1··111111····1··11·········11·······1·11··1··················111·111111····1········11111·11··1111········1·····11····1······1··1·1·11·111········1·····1·1111·11···········11··111111·111·111··········
out 37 (223)11·····1·······1··1·1·1·1····11··1···1···1···111·1···1···11·11···11·1·11·1···1·1·11·1·1····11·1111··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1·····1·1·1·1·1·111111·111··11···1····1···1111·1········1········1···11·······11·1··111··11·1··1··111·1····1··1··11··1·········1··1·1··1·1··1·1···1······1··1·····111····1·1··1·1·1·1··11111·1··1·1·11·11···11··1·11·1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1·····1·1·1·1·11·1·111·11·111·11··1··1····111·1··1·····1··········111·········11·1···111··11·1·1··11·1·1·····1··1·
out 38 (215)·1·····1···1·11···1···11·····1·11····1·1·11·1··1·1······1·11·1·1····1··1··1····11··1··11·1·1······1·111··11·11111·11·1··1·1·1···11···1·1·1·1···1·1······1·11···1··1·1····1··11···1·11·1·11··1·1·111··1·1···11·1·1··1·····11··111·1····1··111···11··1·····1111··1·····11····1···1···1··1····1·11····1····11···1···11·······1·11·1··1··1····1···1··11··11···1·1··1···11··1·111·1·········1·111··1··1·1111···1111·1···1··1·1·11····1··1·1··1·11·····1··1···1·1··1··1···1··11····1··11··1·11·1·11111·1····11··1··1·1···11···11·1·1·1··11·1····11··1······1111·1······11·····1···1·
out 39 (215)·1·····1···1·1·1··1···11·····1··1··1·1·1·11··111········1·11·1·1····1··11·1····11·11··11·1·1·1··1·1·11···11·11·11·1111··1·1·1···11···1·1·1·1···1·1····1···11···1··1·1··1·1·111···1·11·1···1·1·1··11··1·1···11·1·1··1··1··11···11·1····11·11·····1··1······111·····1··11····1···1···1··1····1·1··1··1····11···1····1··1····1·11·1···111········1··11··11···1·11·1···11·11·111·1·1····1··1·11···1··1·11·1···1·11·1···1··1·1·11····1··1·1··1·11···1····1···1·1··1··1·1·1·111····1··11··1···11·1·111·1····11··1··1·11··11····1·1·1·11·11·······1··1·······111····1···11·····1···1·
out 40 (231)11·····1·······1··1·1·1·1····11··1·11····1···111·1···1···11·11···11·1·11·1···1·1·1·11··1···11·1111··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1·····1·1··11···111111·111··11···1····1···1111·1········1···11·111···11·······11·1··111··11·1··1··111·1····1··1··11··1·········1··1·1··1·1··1·1···1·11··1···1·····111····1·1··1·1·1·1··11111·1··1·1·1·11·1··11··1·11·1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1·····1·1··11····1·111·11·111·11··1··1····111·1··1·····1····11··11111·········11·1···111··11·1·1··11·1·1·····1··1·
out 41 (223)11·····1·······1··1·1·1·1····111·1·11·······1111·1···1···11·11···11·1·1111·····1·1·11·11···1··1111··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1·······1···1···11·111··11··11···1····1···1111·1·····1··1·1·11··11····1·······11·1··111··11·1··1··111·1····1··1··11··1·········1··1·1··1·1··1·1·1·1·1···1········1111····1·1··1·1·1·1··1111111····1·1·1111··1···1·11·1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1·······1···1····1·1·1·11··11·11··1··1····111·1··1··1··1····11···11·1·········11·1···111··11·1·1··11·1·1·····1··1·
out 42 (199)11··1·············1111111······111··11·1·········1··11··11111··1··1····1·11··1·····1···1····1111·11······1··111·1·1·····11111·1········11111···············1··········1··111111·111·············1·1··111·1·111··1·····1·111···1··1····111·111·······1111··1111·11········1·1······11·1·············111·1111······111·····11·1·············111·11·111··1··1··1·11·1·····1··1···11·1·1··11······1····111····1·1······1·1111··········111·11···············1········1··111111··11·1············1·1111·1··111····1··1·111····1···1·111·1·11·········1111··111111········1···1·····
out 43 (207)·1··1··11·11·1·1·············11·11··········111··1········111··1·11·1·1·1·········111·11·111··11111···1·······111·11·11···············111111··11·1·1·1··1······111111·11·1111···········111·····1········1·11111·1·1··1······11···1···111·1·1··1·········1·111·11·11·111···········1·111·1·1·1··1············1·1··11··············111·····1······111··1·1111·1········11111111···1·11·11···1·········11···1·11·11················1·111·111111·1··1········11111·111·1111··············111···1······1··111·11··111·······111···1111·1··1···1··········1·11111·11··111··········
out 44 (191)·1·····1·····1·1··1·1·1·1·······1····1·1··1··111·····1···11·11···1··1·1···1···1·1·1····1·11·1·1···1·1····1··1·1·1··1······11···1·1·1·1··111···1··1·1···1·1······1·11··1···1·1·1·1··1···1··1··11·1·1····1···1111·······1·1·1··111········111·1··11·1··1·····1·1··1··1·1·1·1·1·······1··1······1··1··1·1··1·1···1···1·······1·1··1···111······1··1·1·1·1··1·11···1··1·1·1···111·1··1·····1·1····1····1·1····1··1········11·1·1··1·1···11·1·1·11···1··1·······1·11··1···1·1·1··1···1····1··1·111·1··1····111·1·····1·1·1···11·1·····111··1···11·1···1·····1·1·1··1··1·11···1·····
out 45 (199)·1··1··11·11·1·1·············11·11··········111··1········111··1·11·1·1···········11··11·1111··1111········1··11··11··1···············111111··11·1·1·1··1······111111·11·1111···········111·····1········1·11111·1·1·········11···1····1111·1··········1·1·111111·111111···········1·111·1·1·1··1············1·1··11··············111·····1······111··1·1111··········11·111111····11·11··········1··11·····11··1················1·111·111111·1··1········11111·111·1111··············111···1······1··111·11··11········11····1·1111··1············1·1·11111·111·111··········
out 46 (199)·1········1···1·1·11···111····1111·11····1··111·11··1···111····1·1··1····1····11··111·······11·11····1···1···11···1···1··1111··11···111···11··11·1·····11·······1···1··1·111···111··1·····1·111·1·1······1···1··11······11···11111········1·1··111··1·····11····1··111·············1·····1····1··1·11····111···1·111·1···1···1····111····111··11·1····1·1·1···1···11··111·····11···11·····1···1·····11······1···1····111111····111·····11111····11·········1····1·1·111····111···1······11111·1····1····1····11··111····11·111·····1··1···111···1·····11···1··11·1············
out 47 (215)·······1··11·1··1··1··1·11···11··1·111·1··1··1111···1····1·1·1···1·····1·1····1·1·111·11·1·11·111·1···1···1·1·111··1··1·11·1···1·1··1·11·11···1········1··11···11·1····1··1111·11··1··1·111··1···1···1·1·1·1111··1·1····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···11·1··1···111···1·1···1··1··1··1···1·1···1·1·111111·11··1·11··1···1·····1·1·11···1··1··1··1·1·1·1·1···1·1·1·1·1·1······1···1···1·11·1····1··1111··11···1···1·111·1··1·1·1·1··111·1···11··1·1····1··1··11····11·····1·1·1·······1··1··1···1·····1···1·
out 48 (215)11········11·1·11·111····1·········1·1·1·11·11··11··11····111·····1·1·1·1····1111111·····1······111···1··1·····1·····111···11··1111····11········1·1·1···111····111······11·1··1111·11··11····1··11··1···1······11·1··1·111··11·111·········1··11111111····111······1·11···11·····11·····1·1·1··11·111·····1·········1····1·11·1··11·····1111····111·····111·1···1111111···1········1·11···1··1·······1········11······111111······11······11·1····11···1··111······11·1···111·1·1·1··11···1·111···1·········1111·111···11··111·······1···11111·111····111·····1··11····11····
out 49 (71)1···············1········1·····1···1·1······111··············1····················1···········1·······1···11··11·····1················1························1·······1···1···1········111·················1················1···········1·····1······11·11·········1·············1··············1·········1·····1···1····1·······111················1················1··········1·········1·····11··11········1·················1················1·······1·······1···1····1··········111··············1················1·········1·······1·······11·11········1··············
out 50 (207)·······1··1··1111··11·11······1··1··11·1·11··1·111··11··1···11·1······1·11·····11··11····11·11·1··1·11·····111111·11··1··1··1···11·11·1·11·1···1···1····11·····1··11··1··1··1·11·1·11··111··1··········1·1·11·1·11·······11·····1·····1·1··1·····11·11·1·1··········1··1·1·1··········1··1···11·11··11··11·····1···1·····11·11·1···1·1···1111·1····1·11····1·11····11··11··11·11···1···1·11·······11111··11·11··1····1··1·11··11·1··11··1·1·1····1·1······1··11··1··1··1·1·1·1··11···111·1·······1·1··11··1··11····11·······1··1·1···1······11··11·1·1·········1···11···1·····
out 51 (239)·1··1··11·11·1·········1·1·····1····1··1··1··1············111··1·11·1·11111··11111··1·1·····11··1·····1···11··1·1·11··1·11111··1111111111111··11·1·1·1·········1·······1·····111111111111················1·11111·1·1····111··1111·····11···1···1······11·11111·11·111111·1·11··1···1·111·1·1·1···········1·1·····1·······1··1··1···1·············111··1·11111111·11111··11····11····1······1·····11··1····1·11··1··1·11111111·1111·111·111111·1··········11·······1·····11·111·111·1111············1··111·11··11··111···11·11··11····1····1·······11·1111111·111·1111···11··1·
out 52 (223)·1··1···1··1··1·1··11·11·1···11·1···11·1··1·11111···11··1·11·1···11·1···11·····11·1·1·11···1·1··11··11····1111···········1··1···11·11··1··1···1··1···1···1·····111··11·1··11··11·1··1··1·11·1···1······1·····1·11··1·····11··11·1·1···11·1111····11·1111···11··11·11·11··1·1·······1·1·1···1··1··1··11··11·1·1·1··1······11·1··1··1111···1·11·1··11··1··111··11····11·1·111··1·1····1·1··11······1111················1··1·11··11···1···1·1·1··1····1······111···1·1··11··1·1·1···1···1·111··1····1······1··1·1·1···11···11··1·111·11·11·····11··1111···11·11·11··11·1···1·····
out 53 (199)1···1···1·11·1····1·1·1·11······1··11···1···1··1·····1···1·1·1·1·······1·1···1·1·11·1·1··11···1···1·1·1··1111·····1···1·11··1···1·1·1··1···1···1·······111·····11·111·1···1111···1··111······11·1·1····1·1·····111·1·····1······11····1·111·1···1·1··111·11·1··1··1·1·1·····1··1··1··1·1·1·1·1·····1·1··1·11······1··1···1········1··1······1··1··1··11·····1·1··1·1·11·11·11····1·····1·1·1··1··111········1···1··1·1··1·1·1··1···1····1·1·····11·1······11·11·11···1111····1···1·11·····111·1··1·1·······1·111···1········11·1·111··1····1·1···111·11·1·1··1·1··1······1··1·
out 54 (95)1·············11·········1·····1···1·1······111··············1····················1···11····111·······1···11··11·····1················1···············111······1·······1···1···1········111·················1················1··11····11·1·····1······11·11·········1·············1···········111··········1·····1···1····1·······111················1················1··11···11·1·········1·····11··11········1·················1·············111········1·······1···1····1··········111··············1················1···11·11·1·······1·······11·11········1··············
out 55 (207)1···1···1·11·1····1·1·1·1······11··11·········11·····1··11·1···1··1····111···1·1·1111····11···1·1·1·1····1··1·11··1··11·11··1···1·1·1··1···1···1·······111······1·111·11··1111···11·111·1·1··11·1·1····1·1··1··1·1·1··1··1····1··1····1·11111··11·1··1······1··1··1···1·····1··1··1··1·1·1·1·1·····1·1··1·1······11··1···1··········11······1·11··1···1··1··111··1·1·1111··11····1··1··1·1····1····1·11·····1··11··1·1··1·1·1··1···1····1·1·····11·1·······1·11·111··1111····1·1·1·11·1·1·111·1··111···1···1··111··1·····1···1·1·111·11···11·1···1······1·1··1····1······1··1·
out 56 (207)·······1··11·1··1··1··1·11···111·1··11·1·11···111···1····1·1·1···1·····111····1·1·1·1·1··1·1·111··1·1·1····1··1·1··1·11·11·1···1·1··1·11·11···1········1··11···11·1·······1·11·11·····1·1·1··1···1···1·1·1·1111··1·1··1·1·1·····11··········1····1·11·111·1·1···1··11·1····1···1······1··1·1·1···1··1···1·11·1·1·1·1·····11·11·1····11···1·1···1··1··1··1···111···1·1·1·11·1·1·1·1·1···1·1·1······1··1····1··1·11··1·1·1·1·1···1·1·1·1·1·1······1···1···1·11·1·······1·11··11·······1·1·1·1··1·1·1·1··111·1···111·1·1·······11········1·····1·1·1·11··1·1··1··11··1·····1···1·
out 57 (31)········1······1···················1·1···········1················1·····1·······················1············································1··········1··················1···1················1···············1·····1····················1···········································1········1····················1····1···············1··············1···1······················1····························································1····················1····1················1················1··1····················1········································
out 58 (47)··············11·············1·····1·1······1·1··1······················1·········1··········1··1·····················································1·1··················1···1········1·1·····1·····················1······1·········1···1··················································1·1············1·······1····1·······1·1·····1··················1········1········1····1··························································1·1·············1······1····1··········1·1···1···················1·······1·······1····1········································
out 59 (215)·······1··1···1·1··11·11·1····1··1·11··1··1··1111···11··1···11·11·1···1·11·····11··11····11·11111·1·111···1111111·11·11··1··1···11·11·1·11·1···1···1·1···1········11··1··1·11·1··1··1··1111·1···1······1·1·11····1·······11·····1·····1·11·····1·11·1111·1···1·········1·1·1··········1··1····1··1··11··11·1···1···1·1···1··1··1···111···1·11·1····1·11··1·1·11····11··11··11·11·1·11··1·111·····111111···1·11·11····1··1·11··11·1··11··1·1·1·1····1·········11··1··1·11·1···1···1···11111··1····1·1··11······1····11·······1··1·11·······1·11··1111·1···1·········11···1·····
out 60 (207)····1···1·11·11···1·1·1·1····11··1·1···1·11·1·11·1···1·1·1·1···1··········1···1·1·1···11···11··1·1··1····1111·1···1···1···11···1·1·1·111···1···1······1111·····1·1·····1·1····111······1111··11···1······1··1··111·1··1·1·1··111·11···11·1·1···11·1··111··1·1··1··1·1·1··1·1·········1·1·1·1·11····1·1··1·1··1·1···1·1······11·1··1·11····1·1··1··1···1········1··1·1·1··11··11····1··1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1····111·1······1·1·····1·1····1·11········1111·11··1····1···1···1·1111·1·1···11·1·1111·1··1····11·1···111··1·1·1··1·1··1·1···1·····
out 61 (223)11·····1·······1··1·1·1·1····11··1··1····1··1·11·1···1···11·11···11·1·1·11···1·1·1·11·1····11·1111··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1·····1·1·1·1···111111···1··11···1····1···1111·1····11··1···11···1···11·······11·1··111··11·1··1··111·1····1··1··11··1·········1··1·1··1·1··1·1···1·····1···1····1·11····1·1··1·1·1·1··1111·11··1·1·1·111···11··1·11·1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1·····1·1·1·1····1·111·11···1·11··1··1····111·1··1··1··1····11····111·········11·1···111··11·1·1··11·1·1·····1··1·
out 62 (215)11········1··1·11·11···11····1·······1·1·11··1··11··1···111····1·11·1··1···1·1··11·······11111···11··1···111·111··1··11·1········111······11··11·1···111·········111··11···11111··11·111·1··111·1·1······1···1···1····1··11··11···1···1111·····111··1·11···1····1··1·1···1·11··1··11·····1···1··11·11····11··1············1·11·1···1·····111··11·1····1·111·1····1··11·····11111······11··1···1··11·111·····1··11··1·······11·1········11111··111···········111··11···1111·1···11··111·1·1111·1····1····1·····1·1··11···11····11111·······111···1·11···1···1··1··1··1···11··1·
out 63 (199)····1···1·11·1····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··1·11··1··11·11··1···1·1·1·11···1···1·······111·1····1·111·11··1·11·1·111111···1··11·1·1····1·1·····1·1·1·····1···1··········111·1··11·1··1······1··1··1···1·····1··1·····1·1·1·1·1·····1·11·1·1······11······11··1····1·11······1··1··1··11··1··1·1··1·1·1··1·111·1··1·····1·1····1····1·11·····1··11··1·1··1·1·1··1·1·1····1·1·····11·1····1··1·11·111··1·11··1·1·111·11···1·111·1··1·1·······1··11···1····1········111··1···11·1···1······1·1··1····1······1··1·
out 64 (223)1···1··11··11·1·1·11···11····1·1···111······1·1·1···1···11·111····1···1·111···11···11··1·11111··111··11··1···1·11··1·1···1111··11···111111·········11··11········111··1·····1···11·11····11·111···1········1··111··1··1·11····11·11···1111·1····11··1····11·11·1··1·1·11··········1··111···1··1··1·11····11··1···1···1···11·······1·1····1·1··11··11·1···1·1·111··11···11·111111····1·11··11··1·····1·1···1··1·1·····111111····111·111······11··11··········111··1·····1····11··11·····11111··1·······1···11·1·11·11·····1·1·111111··1·····11···1····11·111··1·1··11··········
out 65 (207)·······1··11·1··1··1··1·11···111·1··11·1·11···111···1····1·1·1···1·····111····1·1··11··1·1·1·111··1·1·1·····1·111··1·11·11·1···1·1··1·11·11···1········1··11···11·1·······1·11·11·····1·1·1··1···1···1·1·1·1111··1·1··1·1·1··11·············1····1·11·1····11···1··11·1····1···1······1··1·1·1···1··1···1·11·1·1·1·1·····11·11·1····11···1·1···1··1··1··1···111···1·1··11·11·1·1·1·1···1·1·1·······1·111··1··1·11··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··111·1···111·1·1···11············1·····1·1·1·1····11··1··11··1·····1···1·
out 66 (175)····1···1·11······1·1·1·11···11··1···1·1·11····1·1···1···1·1·1·1··1·····1·1·····1··1·······1···111··1·1··1··1··1··1··11···11···1·1·1·111···1···1·····1·111·······1·····1·1·1··1·1······1·1···11···1····1·1·····1·1·1····1·1····11·1····1·1······1·1··1···1··1··1··1···1··1·1·········1·1·1·1·······1·1··1·11·1·1···1······1·11·1·····1····1·1··1··1··11··1···1·1····1··1·····1·····11·1··1·1··1····1··1·····1··11·····11·1·1··1·11·1····1·1···1·11·1········1·····1·1·1··1··1········1·1··11··1··1·1·······1··11··1·11·····11·1·1·1········1·1···1···1··1·1··1····1·1···1·····
out 67 (207)11········1··11·1·11···11····1·······1·1··1·111·1···1···111····1·11·1··1·····1··111······111·11··11··11··11··11···1··11·1········111······11··11·1···1·11········111··11···11111··1··111111·111···1······1···1···1····1···1···1···1····11·······11··1·1···11····1··1·1·1·1·11··1··11·····1···11··1·11····11··1············1·1··1··111····1·1··11·1····1·111·1····1··111····111·1·1····11··11··1··1··11······1··11·11·······11·1········11111··1·11··········111··11···1111·1···1···111111111··1····1····1·····1·1···1····1····1·11·········11···1·1···11···1··1··1·11···11··1·
out 68 (231)·1··1··11·11·1·1·········1·····1····11·1·11·1··············11··1·1··1·11111··11111··1··1····1·········1···11··1·1·11··1·11111··1111111111111··11·1·1·1··1······1·······1·····11·111·1111·1···············1·1111111·1····111··111·1····1········1······11·11111·11·111111·1·11··1···1·111·1·1·1··1··········1·····1·······11·11·1··1···············11··1·1·111111·11111··1·1···1············1·····11··1····1·11··1··1·11111111·1111·111·111111·1··1········1·······1·····11··11·1·1·111·1···········11·111·11·111··111···11·1·1·1··········1·······11·1111111·111·1111···11··1·
out 69 (231)11··1···1··1·1111··11·11·1···1·11··11··1··1·111111··11··1·11·····11·1···11·····11·111·1····1111·11··111·····1111·····1···1··1···11·11·11··1···1··1······1······111··1·····1···1··1··1··1·11·1··········1····11·11··1·····11··1··111····1··111··1·11·11···1111··11·11111··1·1······11·1·1···1·11·111·11··11·1·1···11··1···1··1··1··1111···1111·1··11·····111··11····11·1111···111·1··1·1··111·······1111········1·····1··1·11··11·1·1···1·1·1·····1········111···1····1···1···1···1···1·111·······1·····11··1·1·1···11···1···111·1··1·11···1·11··11···1111·11·111·11·1···1·····
out 70 (223)11··1···1··1····1··11·11·1···1··1···1··1·11··1·11···11··1·1··1···11·1···11·····11···1·1····1111·11··111·····1111·····1···1··1···11·11·11··1···1··1···11··1·····111··1··1··11··1··1·11··111··1···1······1··1··1·11··1·····11···1·111····1··111··1·11·11···1111··11·11111··1·1······11·1·1···1·····1··11··11·1·1····1······1··11·1···1·1···1·11·1··1···1··111··11····11···11···111·1··1·1··111·······1111········1·····1··1·11··11·1·1···1·1·1··11···1······111···1·1··11··1···1··11···111·1··1····1······1··1·1·1···11····1··111·1··1·11···1·11··11···1111·11·111·11·1···1·····
out 71 (223)1···1···1·11·111··1·1·1·1······11··11····1··1·11·1···1···1·1·1·1·······111···1·1·1111··1·11··11·1·1·1·1··11·1·1···11·11·11··1···1·1·1··1···1···1······11·1······1·111·11··1111···111111···1··11···1····1·1·····111·1··1··1····1·······1111111···1·1··11···1·1··1··1···1·····1··1··1··1·1·1·1·11·1··1·1··1·1······11··1···1···1····1·11····1·1··1··1··11·····111··1·1·1111·111··1·1··1··1·1·1··1··1·1·1······11·11··1·1··1·1·1··1···1····1·1····11··1·······1·11·111··1111····1·111·11···1·11··1··1·1·······1·1111··1·····1·····11111·11····1·1···11···1·1·1·11····1······1··1·
out 72 (31)·········································1··11········································11····11·····················································································11···11······································11····11·····················································································11···11·····································11···11································································································11····11····································11·11·············································
out 73 (31)··············11·························1··1·1··1······························1·1···································································1·1··························1····1·1·····1···························11································································1·1····························1····1·1·····1·························1·1········································································1·1······························1·····1·1···1···························1·····················································
out 74 (223)·1··1··1··11·1·11·1·11·1·····1111··1·1···11····111···1··1·1·1··1·11·····1·1··11·1··11·11·1·11·1··1··1····111·111··11··1···1·11·1·1··1···1··1··1········11·1·····1·1···11·1····1··11···1·1····1··111···1·····1·1·11·1·····1···11·1·····111111···1·1·1·11··111·1·1···1··1··1·11··1···1·11··1·1·1··11·1·1·1·1···1·1·11··1····1··1·1·····1···11·1·1··1·1··1·11···1·1·11·1··11111·11··1····1··1····1··11·111·····11··1·····1·11·1···1····1···11······11··1······1·1···11·1····1···1·1····1·1···1·111·1······1··1··111···1····11··1··11111·1····1·1·1··11··111·11···1···1·1···11··1·
out 75 (223)·1··1···1··1···11··11·11·1···1··11··1··1·11····111··11··1·11·1···11·1···11·····11··11·1····111··11··111·····1111·····1···1··1···11·11··1··1···1··1···11·11·····111··1··1··11··1··1·11··11···1··········1·····1·11··1·····11·····111····1·1111··1·11·11···1111··11·11111··1·1·······1·1·1···1····11··11··11·1·1····11·····1··11·1·····1···1111·1··11··1··111··11····11··111···111····1·1··111·······1111········1·····1··1·11··11···1···1·1·1··11·1·1······111···1·11·11··1···1··11···11··1·······1······1··1·1·1···11·······111·1·11·11···1·11··11···1111·11·111·11·1···1·····
out 76 (55)··············11···············1···1·1···1··1·1··1································11··1······1························································1·1··············1···1···11··1····1·1·····1····························11·1······1······················································1·1················1···1····11·1····1·1·····1···························11·1·····1·······························································1·1················1···1····11···1·····1·1···1···························11··1···1·············································
out 77 (207)····1···1·11·111··1·1·1·1····11··1·····1··1·1·11·1···1···1·1···1··1·····1·1···1·1·1···11···111·1·1··1····1111·1···1···1···11···1·1·1·11····1···1······11·1·····1·1·····1·1·1··111··1···1111··11···1····1·1··1··1·1·1····1·1··111·11···1··1·1···11·1··111··1·1··1··1·1·1··1·1········11·1·1·1·11·1··1·1··1·1··1·1···1········1··1··1·11····1·1··1··1···1··1···1·1··1·1·1··11··111···1··1··1····1··111·1······1···1·····11·1·1··1·11······1·1····11··1······1·1·····1·1·1··1·11···1····1111·11··1··1·1···1···1··11··1·1···11·1·111··1··1····11·1···111··1·1·1··1·1··1·1···1·····
out 78 (207)1···1···1·11··11··1·1···11···11··1·1···1··1·1·11·1···1···1·1·1·1··········1···1·1·11···1···11·1111··1····1111·1···1···1···11···1·1·1·1·1···1···1·····111·1···1···1·····1·1····111··1···1111··11···1····1·1·····111·1··1·1·1··1·1111···11·······11·1··111··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··11········1··1·1·11··1··11··1·11·1··1····1··111·1······1···1·····11·1·1··1·1··1····1·1···111··1········1·····1·1····1·11···1····1111·11··1··1·1·······1·1111·1·1···1··111111·········11·1···111··1·1·1··1·1··1·1···1·····
out 79 (191)1············111·············11··1··1··1··1···1···················1····1·11··11111111·1··1111··1111···1·······1·········11111··11111111··············11·1······111111·111111111111111111111·····················1·····1·111····1·11····1111·1··1·········1···············1·11··1··1··········11·1············1·1···1·····1··1··1····1····················1··1·11·111111111·1111····11·11···1·········1·············1·11111111·1111············11·1········11111·111·111111·111·111·111111····················1··1·111······1·11·1111··1···1··········1··············1···11··1·
out 80 (199)1···1·····1··1111···111·······11···1···1·1··1···11···1·····11····11·1··1·····111····1·······11··111··1·····11·1·1·····1·1··1···11···111111····11·1···1·1···1···11···1·1·····111···1·1····1··111·1····111···11····1····1···1····111······11·1···111···11··1··11·1···111···1·11·····1··1···1···11·11···1·11······1·1···1······11····1······11·1·····11····111·1····111····1·····11····1·11··1·······11·1····1·····1··1···1·11····111·111···111··1·1·······1·11····11·····111·····1·1·····1·1111··111····11······1·1···1······111···11··1····111····11··1··111···11·1··1··111····
out 81 (79)1··············1·········1·····1···1·1·········1·············1·····················1··11····111·······1···11··11·····1················1·················1······1·······1···1···1···········1················1·················1·11····11·1·····1······11·11·········1·············1·············1··········1·····1···1····1··········1···············1·················1·11···11·1·········1·····11··11········1·················1···············1········1·······1···1····1···························1·················1··11·11·1·······1·······11·11········1··············
out 82 (199)11········1···111·11···11·····1·11··11···1··111·11··1···1·1····1·11·1····11···11··111·11·····1·11····11··111·1·1··1··11··1111··11···11····11··11·1·····1·······11···1····11·····11··1·····1·111·1·1·····11···1···1······11···111······1···1·1···11··1·11·1·1····1··1·1············11·····1····1·11·11····11····1··11·····11··1····111····111··1··1····1·111···11··11··11111····1···11·····11··1··11·1·1·····1··11····111111····11······11111····1·········11····1···11······11···1······11111·1····1····1·····1···11····11·1···1···1··1····11···1·11·1·1···1··1··1············
out 83 (207)11··1······1·11···11·11······1··11·11··1·1···11·····1·····1······11···1·111··111······1···11·1·1111··11··11·1·1·1····1····1····11··1·····1····11···1·1·1·11····11··1········1··1··1·1·11·11·11··111···11·1·11······1··1···1··11··1·····1··11······111·11·111···1···1··11···11··1··11·1·····1·11····11··11····1····11·1···1··11·····11······1·····1······11·1·111·111·····1··11·1···11·11··11··1··1·1·1····1····1······1··11···1······1···11·1·1·1··11·····11··1········1···1···1·1··11·1111·111·11·1··11·······11···1···11···1··1··1·1·······11·1·11·111··1···1···11·1··11··1·
out 84 (207)·1··1···1··1··1·1··11·11·····1·11··111·1··1·11111···11··1·11·1···11·1···11·····11·1·1··1···1··1·1···11····1111···········1··1···11·11··1··1···1··1···1···1······11··1·····1···11·1··1··1·11·1···1······1·····1·11··1·····11··11···1···1···1111···11·1111···11··11·11·11··1·1·······1·1·1···1··1··1··11··11···1···11··1···11·1··1··1111···1·11·1··11··1··111··11····11·1·1·1··1···1··1····11······1111················1··1·11··11···1···1·1·1··1····1·······11···1····1···1·1·1···1···1·111··1····1······1··1·1·1···11···11····11···1·11·····11··1111···11·11·11··11·1···1·····
out 85 (207)·······1··11·1··1··1··1·11···111·1··11·1·11···111···1····1·1·1···1·····111····1·1·1·1··1·1·11·11··1·1·1···1·1·1·1··1·11·11·1···1·1··1·11·11···1········1··11···11·1·······1·11·11·····1·1·1··1···1···1·1·1·1111··1·1··1·1·1···········11····1····1·111····1·1···1··11·1····1···1······1··1·1·1···1··1···1·11·1·1·1·1·····11·11·1····11···1·1···1··1··1··1···111···1·1·1·1·11·11··1·1···1·1·1····11·1·1····1··1·11··1·1·1·1·1···1·1·1·1·1·1······1···1···1·11·1·······1·11··11·······1·1·1·1··1·1·1·1··111·1···111·1·1··········11·····1·····1·1·11····1·1··1··11··1·····1···1·
out 86 (47)···············1···················1·1···1··1·1···················1·····1··············1·····1··1··················································1····1··················1···1···1····1·1·····················1·····1··········1·····1···1················································1···1····················1····1··1····1·1····················1···1············1····1····1·······················································1····1····················1····1····1·····1·1····················1··1············1··1····1········································
out 87 (223)11··1··11·11·1·1···1···········1····11·1··1··1···1········1111·1·11·1·11111··11111·11·······1·1·1··············11·11·11·11111··1111111·11111··11·1·1·1··1··············1·····11·111111111·······1········1·1·111·1·1····111··1·1······1··1·1···············111·11·11·111·1·11··1··11·111·1·1·1··1···1············1·······11·1··1···1······1······111·11·11111111·11111·11·····1··1··1·················1···1·11·11··1·11111111·111··111·111111·1··1····1···········1·····11··11·111·1111·····1······1··1·1·11··11··111···1··1···1··1··1·················11111·11··1111···11··1·
out 88 (223)·1··1·········1···11111111······11·11··1·1··1·1··1··11··111111·1··1····1·11··1····11··1········1·11···1··1··11·11·1··1···1111·········111111··········1····1···1······11·11·11111111····1·1·····1·1··111·1·1·1··1·····1·111··11·1·······11111··1····1111·1·111·11···1···11·11······1·1········1····111·11111······11·1···1··11····1·1·····111·11·111·11··1··1·11·1····11·1·········1··11···1··1····11·1···1·1··1·····1111········1·111·11······1········1·1······11·11·111·111·11·····1·1···1·1111·1··1·1····1··1·111···11··1····111·11···1·····1111·1·11111···1····1···11····
out 89 (47)··············11·························1··1·1··1·······························1·1··11····11························································1·1··························1····1·1·····1·····························1·11····11······················································1·1····························1····1·1·····1··························1·1·11···11·······························································1·1······························1·····1·1···1··························1·1··11·11·············································
out 90 (191)····1···1·11·1····1·1·1······11··1·1·1·1·11····1·1···1···1·1···1········1·1···1·1·····11···11··1·1··1····1111·1···1···1···11···1·1·1·111···1···1·······111····11·1·····1·1····1·1······1·1···11···1····1·1··1··111·1····1·1···11·11···11·1·1···11·1··111··1·1··1··1·1·1··1·1·········1·1·1·1·1·····1·1··1····1·1···1·1····1·11·1·····1····1·1··1··1···1······1·1··1·1····11··11····1··1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1·····11·1······1·1·····1·1····1··1········1·1··11··1··1·1···1···1·111··1·1····1·1·1111·1··1····11·1···111··1·1·1··1·1··1·1···1·····
out 91 (31)···························1·······1·1·······1··························1··········1··1·········1································································1·········1···1·········1····························1·······1·1··········1·········································································1····1········1·························1·········1·1··········1·······································································1·········1····1···········1························1········1··1········1········································
out 92 (199)1······1··11····1··1··1·1·······1··1··········1111··1····1·1·1···11·····1·1··1·1·1·1···1··1·1·1·11··1··1····1·111··1··1···1·1···1·11·1·1·11···1······1·1··11···1·1·11·1··1····11·11·11·1·11··1··11···1·1·1·1111·11·1·····1·····1111·····111····1···11·1·····1···1··1··1··1··1·····1···1··1·1·····1··1···1·1·······1··1··············11···111···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····1·1···1···1·1·1·1·11··1····1·1·1·1·1·1·1·11·1·11·1·1·1··111·1··111···1·······1111··111······1···1·1·1·····1··1··1···1·1····1····
out 93 (215)·1········1···1·1·11···11·····1·11·11··1·1··1·1·11··1···111····1·1··1···111···11··111··1·····111·····11··111·1·1··1··11··1111··11···111···11··11·1·····11······11···1····111···111··1····11·111·1·1······1···1··11····1·11···1111·····1··1111···11··1·11·1·1····1··1·1·············1·····1····1··1·11····11····1··11·1···1··11····1·1····111··11·1····1·1·1··111··11··111·1····1·1·1······11··1··11·1·1·····1··11····111111····111·····11111····11········11····1···111····1111··1·····111111·1····1····1····11·1·11····11·11··1··11·11····11···1·11·1·1···1··1··1············
out 94 (31)··············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·············································
out 95 (71)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······11·11·········1·············1·············1··········1·····1···1····1·········1·····1··········1·················1·········1·········1·····11··11········1·················1···············1········1·······1···1····1············1···11·········1·················1········1·······1·······11·11········1··············
out 96 (63)·························1·····1··11·1···1············································11····11········1···11··11·····1·········································1·······1·1·1···1···1············································11····11·······1······11·11·········1······································1·····1···1····1··1···········································11···11···········1·····11··11········1··········································1·······1·1·1····1····1···········································11·11·········1·······11·11········1··············
out 97 (223)11·····1······1···1·1·1·1····111·1·11····1···1·1·····1···11·11···11·1·11·1···1·1·1·11·1····1·111·1··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·11111·····1·1·······1···1···111111·11···11·1·1····1···1111·1········1···11···1·······11···11·1··111··11·1··1··111·1····1··1··11··1·······1····1·1··1·1··1·1·1·1·1···1···1·····1·1······1··1·1·1·1··11111·1··1·1·1·111···1·1·111··1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1111·1······1·1·······1···1····1·111·11·11··111·1··1····111·1··1·····1····11····1····1·1····11·1···111··11·1·1··11·1·1·····1··1·
out 98 (31)·······························1···1·····1···1··························1···1·········1······1·········································································1···1·······1·····1····························1···1·····1······1·········································································1···1·······1·····1·························1···········1·····1··················································································1···1·········1······1························1···1·······1···1·············································
out 99 (207)1············111·········1···11111·111·1··1·1····1··········11····1····1·11··11111111·1··1111··1111·······11···1·····1··11111··11111111··············11·1·······11111·1··11·111·11111111·1······1···········1···1·····1·111····1·11····1111·1·········11··1·········1····1·11··1··1··········11·1··········1·1·1·111·1···11·1··1··1·······1········1·1···1··1·11·111111111·1111····11·11·········11···1········1···1·11111111·1111············11·1·········1111·11··11·111··11·111·111·1····1········1·1·····1··1·111······1·11·1111··1···········11··1········1····1···11··1·
out 100 (191)·1·····11·······1····1111·······11·1·1·1·····1··1·······11111····11·····1····1······1·1··1····111···········11·····1·1·····11·······11111·····11········111····1111···11···1···1111···111·····1·11····11·1····11······1·111··111·11·····1·11····1111···1·11111····11·······11··1···1··11·········1·····1111·······11·1····1·1······1·····1····11·111····11···1···1······11·1·····1·11··············11········1·1·······11······111·11····11······1·11·····1111···11···1····111·1····111····111··11·1······11····1·111···11·1·11··1·1·1·····1111····1·11111···11·········11··11
out 101 (207)····1···1··1·111··1·1·1·11···11··1·1···1··1·1·11·1···1···1·1·1·1········1·1···1·1·1···11···11·11·1··1····1111·1···1···1···11···1·1·1·111···1···11·····11·1·······1·····1·1····111··1···1111··11···1····1·1·····111·1····1·1··111·11···11···1···11·1··111··1·1··1··1·1·1··1·1·········1·1···1·11·1··1·1··1·11·1·1···1·1······1··1··1·11····1·1··1··1··11······1·1··1·1·1··11··11··1·1··1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1····11··1········1·····1·1····1·11···1····1111·11··1··1·1·······1·111··1·1···11·1·1111····1····11·1···111··1·1·1··1·1··1·1···1·····
out 102 (207)·1··1···1··1···11··11·11·····1··1···11·1··1····111··11··1·11·1···11·1···11·····11··11·1····111··11··11···1··111··········1··1···11·11··1··1···1··1···11·11······11··1··1··11··11·1··1··11···1··········1·····1·11··1·····11·····111····1·1111····11·11···1·11··11·11·11··1·1·······1·1·1···1····11··11··11···1····1······11·1··1·····1···1111·1··11··1··111··11····11··111···111····1·1··11···1····111···············1··1·11··11···1···1·1·1··11·1·1·······11···1·1··11··1·1·1···1···11··1·······1······1··1·1·1···11·······111·1·11·11·····11·111···1·11·11·11··11·1···1·····
out 103 (207)····1··11··1·1111·11···11·1··1······1·······1···1···1···11·11·····1···1·111···11····1··1·111··1·111··1···111·11·1··1·····1111··11···11·111·········1·1·1········1111··11···11··111·11····1··111···1········11·111··1··1·11·····1·11·····1··1···111··1·11····11·1··1···11·············111···1·11·11·11····11··1···········1········1······1·1··11··11·····1·1·111··11····1·1111···1··1·11··1···1··11·11····1··1·······111111····11··111······1·1·1··········1111··11···11···111··11·····1·111··1·······11··11·1·11·11·······1·11··1···1····111···1·11····111··1····11··········
out 104 (199)·······11·11·1····1111111·······11···1····1·111··1··11··11···1···1··1·1·······11111·1··1·······1·11······1··111····1··1········1111111········11·1·1·1·····1··········11·1111··1···11111··1·····1·1··111····1·1111·1··········11·1······11111·······1111··········111111··············11·1·1·1·····111·1111·······11······1····1··111·····111·11·····1··1·11······11111·1·1········1··11······1····111·······1··1········11111111········1111·1·········1········11·1111···1····11·111··1···1·1111·····1··11·111·········1·1·1···111·11·········1111·········111·111··········
out 105 (223)11·····1·······1··1·1·1·1····111·1··1····1···111·1···1···11·11···11·1·11·1···1·1·1·11·1····1·11111··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1····1··1·1·1···111111·111··11···1····1···1111·1········1···11···1············11·1··111··11·1··1··111·1····1··1··11··1·········1··1·1··1·1··1·111·1·····1···1·····111····1·1··1·1·1·1··11111·1··1·1·1·111···1·1·1·11·1··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1····1··1·1·1····1·111·11·111·11··1··1····111·1··1·····1····11····1···········11·1···111··11·1·1··11·1·1·····1··1·
out 106 (47)··············11···············1···1········111··1································11···········11·····················································1·1··············1···1············111·····1····························11············1··················································1·1················1···1············111·····1···························11···········11··························································1·1················1···1···············111···1···························11··········11········································
out 107 (87)1·············1··········1·····1···1·1···1··1·1··············1····11··············1····1····1·1·······1···11··11·····1················1···············1········1·······1···1···1···1····1·1·················1···11···········1···1····1··1·····1······11·11·········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····1····1·····1·1··············1·····11·········1····1·1··1·······1·······11·11········1··············
out 108 (191)····1···1·11······1·1·1·11···11··1···1·1·11····1···1·1···1·1···1········1·1···1·1·····11···11111·1··1····1111·1···1···1···11···1·1·1·111···1···1·····1·111·······1·····1·1·1··1·1······1·1···11·1······1·1··1··111·1····1·1···11·11···1····1···11·1··111··1·1··1··1·1·1··1·1·········1·1·1·1·······1·1··1·11·1·1···1······1·11·1·····1······1··1··1···1······1·1··1·1····11··111·1·1··1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1···1·11·1········1·····1·1·1··1··1········1·1··111····1·1···1···1·111··1·1····1·1·111·····1····11·1···111··1·1·1··1·1··1·1···1·····
out 109 (199)····1··11····1··1·111··········1····1·········1·11··11·········1·11····1·11·······1·1··1·1··1····11······11····11·11·1··111········111···111··11·····1··1111···1111····1·1111111······11111···1··11··1·····11111······1·······111·1···1····11···111111····1····11·11··1··1·····1·····111·····1···1·111···········1·······1··········1····1111·········1·11··1·11······1·1·11··1·······11······1··1····1···1·11·1·1·1·11·······111····1·1111···1··1·11···1·1111····1·111111·1········11111··1·111······111·11····1········1·11·11·····11····1111·11····1···11·11···1·1·······1·
out 110 (199)·1········1···1·1·11···111····1·11··1·······1·1·11··1···111····1·1··1····11···11··1111·1·······1·····11··111·1·1··1··11··1111··11···111···11··11·1·····11·······1···1····11····111·11····11·111·1·1······1···1··11······11···11·1·····11··111···11··1·11·1·1····1··1·1·············1·····1····1··1·11····111···1··11·····1········1·1····111··11·1····1·1·1···11··11··111·1········1······11··1··11·1·1·····1··11····111111····111·····11111····11·········1····1···11·····111··11·····111111·1····1····1····11···11····11··1··11··1·11····11···1·11·1·1···1··1··1············
out 111 (175)1·······1·11·1·1··1·1·1·11···11··1···1·1·11····1·1···1···1·1·1·1··1·····1·1···1·1··········1··11·1··1·1··1··1··1··1··11···11···1·1·1·1·1···1···1·······1·1·······1·····1·1·1··1·1······1·1···11···1····1·1·····1·1·1····1·1···111·1····1···1····1·1··1···1··1··1··1···1··1·1······1····1·1·1·1··1··1·1··1·11·1·1···1······1·11·1·····1····1·1··1··1··11··1···1·1··1·1········1···1·1··1··1·1··1····1··1·····1··11·····11·1·1··1·1··1··1·1·1·····1··1········1·····1·1·1··1··1········1·1··11··1··1·1·······1··11··1·1····1·11·1·1····1·····1·1···1···1··1·1··1····1·1···1·····
out 112 (207)····1···1·11··11··1·1·1·11···11··1···1·1··1·1·11·····1···1·1·1·1··1·····1·1···1·1·1···11···11··1·1··1····1111·1···1···1···11···1·1·1·111···1···1·····111·1·······1·····1·1·1··1·1··1···1111··11·1·1····1·1·····1·1·1······1··111·11···11·1·1···11·1··111··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···1·11·1·1·1··11··11····1··1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1···111··1········1·····1·1·1··1··1···1····1111·111·1··1·1·······1··11····1···11·1·1111·1··1····11·1···111··1·1·1··1·1··1·1···1·····
out 113 (207)11·····1······1···1·1·1·1····11··1··1··········1·····1···11·11···11·1·1111···1·1·1··1··1···1··11·1··1····11·1·1·1··1····11··1···1·1·1·1·111···1··1·1·11111·····1·1·····1·1·1·1···11·111·1····11·1·1····1···1111·1·····1··1···1··111····1···1···11·11·11····1·1··1··1·1·1····1··1··11··1·······1····1·1··1·1··1·1···1·····1···········1······1··1·1·1·1··1111111··1·1·1··1·1··1···1·1··1··1···11··1·1·1····1··1·····1·1··1·1·1··1·1··11·1·1·11·1111·1······1·1·····1·1·1·1····1·1·1·11·1···111·1··1····111·1··1··1··1····1···111·1····1····11·11··11····1·1·1··1··1·1·····1··1·
out 114 (207)····1··11····1··1·111··········1····1·········1·11··11·········1·11····1111·······111·11·1··1···111···1··11···111·11·1··111········111···111··11·····1··1111···1111····1·1111111······11111···1··11··1·····11111···············1··1···1·····1··1111111···11·1··11·11·····1·····1·····111·····1···1·111···········1·······1··········1····1111·········1·11··1111······111111··1·····1·11···1··1··1···11·1·1·11·1···1·11·······111····1·1111···1··1·11···1·1111····1·111111·1········11111··1·111······111·11···············1··11······1···11111·11···11·1·11·11·····1·······1·
out 115 (215)11·····1······1···1·1·1·11·····11····1·1·11··111·····1···11·1····1··1·1···1···1·1·11··11·11···1·1·1·1····1··1·1·1··1······11···1·1·1·11·111···1··1·1·11111·····11·111·11··1·1·1·1······1··1·111·1·1····1···1·11·······1·1·1··1·11·····1·11111··11·1··1·····1·1··1··1·1·1·1·1······11··1·······1····1·1··1·11·····11·······1·11·1···1111·····1··1·1·1····1·11···1··1·1·11·1111····1··1··1·1····1····1·1····1··1········11·1·1··1·11··11·1·1·11·1111·1······11·11·111··1·1·1··1········1··11111·1··1····1·1·1·····1·1·1···1··11··1·111·11···11·1···1·····1·1·1··1··1·11···1·····
out 116 (207)·1······1·11·1·····1·1·1·1···11·1···1·····1···11····1···1·1·1··········111···11·1·11···1···1111···1·1·1···1··1·11····11·111·1··1·1·1·1··111····1·······111·1·····1····1···1·11···111···1·11··11·1····11····1·1·111·1··1··1···1·1111···1·111·1···1·1·1··1··11·1··1·1···1·····1······1···1·1·1·1······1··1·1·1·1·1··1······1·····1····11·····1··1··1·1········111··11·1·11··1··111·1·····1·1·1·····1··1·1···1····11··1·11·11·1··1·1···11·1··1·····11·1····1···1····1···1·11····1·11····1·11·111··11·····1·1··1·1111··1····1··11111·111··1····1·1··1··1··11·1·1·1····1···1··1····
out 117 (207)11········1··11·1·11···111···1·1·····1·1·11···1·1···1···111····1·11·1··11····1··11····1··1111·1·111··11··1···1····1···1·1········111······11··11·1···1·11······1·111··1····11·11··11·111··1·111···1······1···1···1········1··11·1·1···1·1··1····11··1····111····1··111···1·11··1··11·····1···11··1·11····111·1···1·····1··1·11·1····1····1·1··11·1····1·111·11···1··11···1·1111··1··1·11··11··1·····1·······1···1··1·······11·1········11111··1·11········1·111··1····11·1·1···11··111··1111··1····1····1·····1·····1···11··1·11·1···1·····11···1····111···1··11·1··1···11··1·
out 118 (47)·······························1···1·····1···1········································11····11············11·········11················································1···1·······1·····1······································11····11··············11············1············································1···1·······1·····1·····································11···11·················11············11·················································1···1·········1······1····································11·11·················11···········11·············
out 119 (223)·······1··1··1111··11·11······1··1··11·1·11··1·111··11··1···11·1······1··1······1··11··1·11·1111··1·111···1111111·11·11··1··1···11·11·1·11·1···1···1····11·····1··11··1··1··1·11·1·11··111··1··········1·1·11·1·11····1··11·····11····1·11·1···1·11·1111·1···1·········1·1·1··········1··1···11·11··11··11·····1···1·····11·11·1···1·1···1111·1····1·11····1··1·····1··11·111·11·1·1···1·111·····111111···1·11·11····1··1·11··11·1··11··1·1·1····1·1······1··11··1··1··1·1·1·1··11···111·1·······1·1··11··1··11·1··11·1·····11·1·11··1····1·11··1111·1···1·········11···1·····
out 120 (175)1···1···1·11·1····1·1·1·11···11··1·1·1·1·11··1·1·····1···1·1·1····1·····1·1···1·1··1·······1··1111··1·1··1··1··1··1··11···11···1·1·1·1·1···1···1·······111·······1·····1·1····1·1······1·····11·1·1····1·1·····1·1·1····1·1····11·1····1········1·1··1···1··1··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···1·1··1·1··1·····1···1·11·1··1·1··1····1··1·····1··11·····11·1·1··1·1··1····1·1·····11·1········1·····1·1····1··1········1····111·1··1·1·····1·1··11··1·1······11·1·1··········1·1···1···1··1·1··1····1·1···1·····
out 121 (247)·11·1··11·11·111·········1·····1···111·1·11·111···········111··1·1··1·11111··11111·11··1····1···1·····1···11··1·1·11··1·11111··111111111·111··11·1·1·11·1······1·······1···1·11·111·1111··1··············1·1111111·1····111··1·1·1····1····1···1······11·11111·11·111111·1·11··1···1·111·1·1·11·1··········1·····1···1···11·11·1··111············111··1·1·111111·11111·11·1···1·····1······1·····11··1····1·11··1··1·11111111·1111·1·1·111111·11·1········1·······1···1·11··11·1·1·111··1··········1··111·11·111··111···1··1·1·1·····1····1·······11·1111111·111·1111···11··1·
out 122 (223)11·····1·······1··1·1·1·1····11··1··1····1··1·11·1···1···11·11···11·1·11·1···1·1·11·1··1···11·11·1··1····1111·111··1·1··11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1·····1·1·1·1···111111···1··11···1····1···1111·1········1······111···11···11··11·1··111··11·1··1··111·1····1··1··11··1·········1··1·1··1·1··1·1···1·····1···1····1·11····1·1··1·1·1·1··11111·1··1·1·11·1·1··11··1·1·11··1····1··111·11···1··1·1···1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1·····1·1·1·1····1·111·11···1·11··1··1····111·1··1·····1········11111····11···11·1···111··11·1·1··11·1·1·····1··1·
out 123 (31)···································1·1······1···························1·········1····1········1·································································1········1···1········1·····························1······1···1·········1································································1········1····1·······1··························1········1···1·········1········································································1········1····1··········1·························1·······1····1·······1········································
out 124 (223)11·11··11·11·1·1···············1···11··1··1··1············1111·1·1··1·11111··11111111··1····1·1·1··············11·11·11·11111··1111111·11·11··11·1·1·1··1··············1···1·111111111111················1·1·11111·1····111····1·1····1··1·1···············111·11·11·111·1·11··1··11·111·1·1·1··1················1···1···1··1··1···1·············111·11·1·111111·11111111·1···1··1··1·················1···1·11·11··1·11111111·111··11··111111·1··1················1···1·11·111·111·1111············1··1·1·11·111··111······1·1·1··1··1·················11111·11··1111···11··1·
out 125 (231)·1··1···1··1·1111··11·11······11·1·1·1···1··11·111··11··1·11·1···1··1··11·1··11··111··11·11·1·11··1·111···11111·········1·11···1··1··1·1··1···1··1······11·····1··11··11·1·111··1·1··11·1···1··········1···1·1·1···1··1·1·····11·1····1111·1···1·11·1111·1·11··11·11·11·····1··1···1·1·1···1·11·11··11··11·····1·1·1·1····1··1····11·1···1111·1··11·11··1·1·11·1·11··111·1111·1··1·1···1·111·····11111·············1··11·1··1···1··1···1·1·1·····1·1······1··11··11·1·111···1··1···11·1··1·······1····1·1··1···11·1······1·1·1·1111··1····1·11··1111·1·11·11·11··11······1··1·
out 126 (191)·1··1··11·11···1·············11·11·1·1···1···1···1········111··1·1··1·1·1·············1··111···1·11·······11····1·11··1···············111111···1·1·1····1······111111·11·11·1··1···1·····1······1········1·1111111·1··1··········11···1111111·········11··1111·11·111111···········1·11111·1····1············1·1··11·1····1··1·····1······1······111··1·1·11·1···········1·111·····1··11·········11·······1·11··1················1·111·11·111····1········11111·111·11·1···1····1······1····1······1··111·11·1111············1111111·11···········11··111111·111·111··········
out 127 (199)·1·····1·······1·11·1·1·11······1····1·1··1··1·1·1···1···11·11···1··1·1···1···1·1·1······11·111···1·1····1··1·1·1··1······11···1·1·1·1··111···1··1·1·1·1·11····11·111·1···1·1·1·1··1···1·····11···1····1···1111·······1·1·1··111·1·····1111·1··11·1··1·····1·1··1··1·1·1·1·1·······1··1·········1··1·1··1·11······1·······1·1··1···1·1····1·1··1·1·1·1··1·11···1··1·1·1····11·11·1·····1·1····1····1·1····1··1········11·1·1··1·1···11·1·1·11·1·1··11·····11·11·11···1·1·1··1···1····1····11··1··1····111·1·····1·1·1···11·1·1··1111··1···11·1···1·····1·1·1··1··1·11···1·····
out 128 (207)·1········1··1111·11···111···1·1···1···1··1·11··11······111····1·1··1··1·····1··11····11·111·1···11··11··1···1····1···1·1········111··1···11··11·1···1·1·······1·111··1·····111···1··11111··111·1·11·····1···1··11····1···1··11·111····111······11··1····111····1··111···1·11··1···1·····1···11·11·11····111·1···1···1······1··1··11·····11···11·1····1·1·1·1····1··11···11111·1······11··11··1·····1·······1···1··1·······11·1··1·····11111··1·1·········1·111··1·····111·····1···11111·1111·1····1····1····11·1···1···11··111·111········11···1····111···1··11·1··1···11··1·
out 129 (215)11·····1·······1··1·1·1·1····111·1·11·······1111·1···1···11·11···11·1·1111···1·1·1111·11···1·111·1·11····1·11·1·1··1····11··1···1·1·1·1·111···1··1·1·1·1·1·····1·1·······1···1···11·111··11··11···1····1···1111·1·····1··1····1··11········1···11·1··1·1···1·1··1··1·1·1····1··1··11··1·········1··1·1··1·1··1·1·1·1·1···1········1111····1·1··1·1·1·1··1111111··1·1·111111··1·1·1·1··1·11····1···11·1····1··1·····1·1··1·1·1··1·1··11·1·1·11·1·1··1······1·1·······1···1····1·1·1·11··11·11··1··1····111·1··1··1··1·····1···11······1··1·11·1···1·1···1·1·1··1··1·1·····1··1·
out 130 (191)·1········1····11·11···11·····1·11·111····1··1··1···1···111····1·1··1····11···11···11·1·····11111····1···1···11···1···1··1111··11···111···11··11·1····11·······11···1····111····11·11···1···111···1······1···1··11······11····11·1·······11·1··111··1·····11····1··111·············1·····1······11·11····11····1··11·1···11····1···1·····1·1··11·1····1·1·1···11··11···111····11·1·11·····1···1·····11······1···1····111111····111·····11111···11·········11····1···111·····11··111···1··111··1····1····1····11···11·····1·1·1····11··1···111···1·····11···1··11·1············
out 131 (191)····1···1·11······1·1·1·1····11··1·1···1·11····1·1···1···1·1·1·1··1·····1·1···1·1·····11···11111·1··1····1111·1···1···1···11···1·1·1·111···1···1·····1·111·····1·1·····1·1····111········1···11···1····1·1·····1·1·1····1·1···11·11···1····1···11·1··111··1·1··1··1·1·1··1·1·········1·1·1·1·······1·1··1·1··1·1···1·1······11·1·1···1····1·1··1··1··11··1···1·1··1·1····11··111·1·1··1··1····1··111·1······1···1·····11·1·1··1·11·1····1·1···1·11·1······1·1·····1·1····1·11··········1··11··1··1·1·······1··11··1·1····1·1·111·····1····11·1···111··1·1·1··1·1··1·1···1·····
out 132 (207)·1··1··1··11····1·1·11·1·······1·1·111·1······111····1··1·1·1··1·11····111·····1·1········1···111·1·1····11··1·1··11··1·11·1······11·1··1··1··1······1·1··1····1·1·11·····1111·11···11·1·11··1···11···1·····1·1·11·1··1·1·1···111·1···1····11··1·1·1·111··11·1·1···1··1····1·······1·11··1·1·····1·1·1·1·1·······1·1·1···11·1·······11···1··1·1··1·1··1·11··111····1·1······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····1111··11····1·1·1·11·1··11·1······1··1··1111·1·1····1·11·11·····11···1·1·1··111··11·11···1···1·····1·1···
out 133 (215)1···1···1··1·1111··11·11······11·1·1·1···1·····111··11··1·11·····1··1··11·1··11··1·······11··111··1·111···11111·········1·11···1··1··111··1···1··1······11·····1··11··11·1·111··1·1··11··1··1··········1····11·1···1··1·1····1·11·······11·1···1·11·1111·1·11··11·11·11·····1··1··1··1·1···1·11·11··11··11·····1·1·1·1····1··1·······1···1111·1··11·····1·1·11·1·11··1·····11··1·1·1···1·111·····11111·············1··11·1··1···1111···1·1·1·····1·1······1··11··11·1·111···1··1···11··1·1·······1·····11··1···11·1·····1··11····11··1····1·11··1111·1·11·11·11··11······1··1·
out 134 (207)·······1··1··1111··11·11·1····1··1·11··1·11·1··111··11··1···11·1······1··1·····11·111··1·11·11·11·1·11······11··1·11··1··1··1···11·11·1·11·1···1···1····11········11··1··1·11·1··1·11·11····1··········1·1·11·1·11····1··11··1··11····1·1········11·11····1··1······1··1·1·1··········1··1···11·11··11··11·1···1···1·1···1··11·11·1··1···1111·1····1·11····1··1····11·111·111·11···11··1·11········11·····1·11··1····1··1·11··11·1··11··1·1·1····1·1·········11··1··1·11·1···1··11··11···1·······1·1··11··1··11·1··11···1···11·1·1··········11··11····1··1·····1···11···1·····
out 135 (79)1··············1·········1·····1···1·1········1··············1···11···············1···11······1·······1···11··11·····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··11············1··11······1·········1·····11··11········1·················1···············1········1·······1···1····1············1··············1····11··········1···11····1·······1·······11·11········1··············
out 136 (215)11··1··11·11·1·················1····1··1··1·11···1········111111·1··1·11111··11111·11··1····1·1················11·11·11·11111··1111111·11111··11·1·1·1·················1·····11111111111········1········1·1··1111·1····111··1·1·1····1··1·················111·11·11·111·1·11··1··11·111·1·1·1···················1·······1··1··1··11······1······111·11·1·111111·11111·11·1···1··1····················1···1·11·11··1·11111111·111··111·111111·1···················1·····11·111·111·111······1······1··1···11·111··111···1··1·1·1··1····················11111·11··1111···11··1·
out 137 (191)·····1·······1···········1···11111·111·1··1·1·1···················1····1·11··11111111··1·111·1·1111·······11···1·····1··11111··1111111····1··········1··········11111·1··11·111·11111111·11·····················1·····1·111····11·1···1·111·1·········11··1·········1····1·11··1·············1·············1·1·1·111·1···11·1··1··1·1····················1··1·11·11111111·1111·1···11·11·········11···1········1···1·11111111·111······1······1············1111·11··11·111··11·111·111·11····················1··1·111······11·11·111··1···········11··1········1····1···11··1·
out 138 (247)·1··1··11·11·11··········1·····1····11·1··1···1·······1···111··1·11·1·11·11··11111·11·1·····11··1·····1···11··1·1·11··1·11111··1111111111111··11·1·1·11········1·······1·····11·11111111111···········1··1·11111·1·1··1·111··1·11·····11···1···1······11·11111·11·111111·1·11··1···1·111·1·1·11············1·····1·······11·1··1····1············111··1·11111·11·11111·111····11····1······1·····11··1····1·11··1··1·11111111·1111·111·111111·11··········1·······1·····11··11·111·111111·······1··1··111·11··111·111···1··11··11····1····1·······11·1111111·111·1111···11··1·
out 139 (215)11··1··11·11·1·················1····1··1··1·11············1111·1·11·1·11·11··11111111·······1·1·1··············11·11·11·11111··1111111·11111··11·1·1·1·················1·····11111111111·············1···1·1·111·1·1··1·111····1······1··1·1···············111·11·11·111·1·11··1··11·111·1·1·1···················1·······1··1··1··11·········1···111·11·11111·11·11111111·····1··1··1·················1···1·11·11··1·11111111·111··111·111111·1···················1·····11·111·111·111·········1···1··1·1·11··111·111······1···1··1··1·················11111·11··1111···11··1·
out 140 (215)11··1···1··1·11·1··11·11······11·1·1·1········1111··11··1·11·1···1··1··11·1··11··11······11··1·1··1·111···11111·········1·11···1··1··111··1···1··1·······1·····1··11··11·11111··1·11·11··11·1··········1·····1·1···1··1·1······11·······1··1···1·11·1111·1·11··11·11·11·····1··1··11·1·1···1·11··1··11··11·····1·1·111····1·········11···1111·1··11··1··1·1·11·1·11··11····11··1···1···1·111·····11111·············1··11·1··1···11·1···1·1·1·······1······1··11··11·11111···1··11··11··111·······1······1··1···11·1········11····1···1····1·11··1111·1·11·11·11··11······1··1·
out 141 (223)·1··1···1··1··1·1··11·11·····1··1···11·1·11·1·111···11··1·11·1···11·1····1·····11·111·1·1··1111·11··111·····1111·····1···1··1···11·11··1··1···1··1···1···1······11··1··1··11··11·1·11··1··1·1···1······1·····1·11··1··1··11··1··11·····1··111··1·11·11···1111··11·11111··1·1·······1·1·1···1··1··1··11··11···1····1······11·11·1··1·11···1·11·1··11··1··111···1····11·1111···111·1··1·1··111·······1111········1·····1··1·11··11···1···1·1·1··1····1·······11···1·1··11··1·1·1··11···1··11··1····1······1··1·1·11··11···1···11··1··1·11···1·11··11···1111·11·111·11·1···1·····
out 142 (175)1···1···1·11·1·1····1·1·11···11··1·1···1·11····1·····1···1·1·1·1········1·1···1·1··1··1····1··11·1··1·1··1··1··1··1··11···11···1·1·1·1·1···1···1·······1·1·······1·····1·1····111······1·1···11·1·1····1·1·····111·1····1·1····1··1····1···1····1·1··1···1··1··1··1···1··1·1······1··1·1·1·1·1··1····1··1·11·1·1···1·1······11·1·····1······1··1··1··11······1·1··1·1··1·1···1···1·1··1··1·1··1····1··1·····1··11·····11·1·1··1·1··1····1·1·····1··1·1······1·····1·1····1·11········1·1··111·1··1·1·······1·111··1·1······1··1·1····1·····1·1···1···1··1·1··1····1·1···1·····
out 143 (223)11··1··1··11·1111·1·11·1·1···11·1·········1·1·1111···1··1·1·11·1·11·····1·1··11·1·111·11·1·11····1··1·1··111·1····11·11···1·1··1·1··1·1·1··1··1·······111·1····11·1···1··1·1··11·111··1···1··1··111···1·······1·11·1·····1····1·1·····111·11·····1·1·11····1·1·1···11·1·····1··1··11·11··1·1·11·11·1·1·1·1·1·1·1··1············1··1·11···11·1·1··1·1·11·11···1·1·11·1·111111·11·······1··1·1··1··11·1·······11·11···1·1·11·1···1·1··1···11·····111··1·····11·1···1··1·1··1·1·1·11···1···1·1·111·1·········1··111···1·····1··1··111·1·1······1·1··11····1·11···11··1······1··1·
out 144 (215)·······1··11·1111··1··1·11···111·1··11·1··1·1··111··1····1·1·1···1·····1·1····1·1···1·1··1·1··111·1·1·1·1··11·111··1··1·11·1···1·1··1·11·11···1·······111·11···11·1·······1·11·11··1··1······1··11···1·1·1·1111··1·1····1·1··1··11·····1···11····1111·11····1···1··1··1····1···1······1··1·1·11·11··1···1·11·1·1·1·1·····11·1··1··1··1···111···1··1··1··1···1·1···1·1···11·1·1···1·11··1·1·1······11·11···1··1··1··1·1·1·1·1···1·1·1·1·1·1·····111··1···1·11·1·······1·11··11···1···1·····1·11·1·1·1··111·1···11··1·1···1···11··1····11·····111·1·11····1··1··1···1·····1···1·
out 145 (191)1············1···········1···11111·111·1·11······1················1····1·11··11111111·1··1111·1111········11···1·····1··11111··11111111··············1··········11111·1··11·111·111·111111······1···············1·····1·111····1·11····11·1·1·········11··1·········1····1·11··1··1··········1·············1·1·1·111·1···11·11·1··········1··············1··1·11·111111111·1111··1·11·1··········11···1········1···1·11111111·1111············1············1111·11··11·111··11·1·1·11111····1················1··1·111······1·11·11·1··11··········11··1········1····1···11··1·
check 146 (208)11··1···1··1·1·1··1··1··11···1·11··1·1···1··1·1111··11··1···11·1··1···1··1·····11·1·1·1··11·1··11·1·11······11··1·11··1··1··1···11·11·11··1···1··1··11·1··11···111··1·····1··1··1·1··11·111·1··········1·1·11·1··1····1··11··11·······111········11·11····1··1······1··1·1·1······11·1·1···1·1··1··1···1··11·1···11··1····1··1····1·11···1111·1····1·11··1·1··1····11·1·11·11·1····11··1·11········11·····1·11··1····1··1·11··11·1·1···1·1·1·11·1···1···1·111···1····1··1···1··1···11·1111·······1·1··11··1···1·1··11···11·····111··········11··11····1··1·····1···11···1·····
check 147 (224)11·····1·······1··1·1·1·11·····11····1·1··1·111·11··1···1··1···1··1····111···1·1·1111··1···1·11111··1·1··1111··11··1·1····11···1·1·1·11·111···1··1·1·1·1·1·····11·111·11··1·1·1·1··1···11···1···11···11··1··1··1·1·1··1··1····1·111·············1·1··111·111·1··1··111·1·1·1······11··1·········1··1·1··1·11·····11·······1·1··1··111····111··1···1···1··1··111··1·1·1111·1··1·1·1·11·1··1·1··1··111··1···1··1·1······11·1·1··1·11··11·1·1·11·1·1··1······11·11·111··1·1·1··1···1····11··1··11·11··1···1···1··111··1·····1··111············1·1···111·111·1·1··11·1·11···1·····
check 148 (216)11········1··11·1·11···111····1·11·11·······111·1···1···111····1·11·1····11···11··111·1·····1·111··11·1···1·1·111··1·1··1········111······11··11·1···1·11·······1···1····111···111·11·····1·111···1······1···1···1······11···111·1·····1·11·1··1··11·1·1·11·11·1··1·1·11·1·11··1··11·····1···11··1·11····111···1··11·1···1········111····1·1··11·1····1·111···11··11··1111····1··1·11···11·1·····1·1·11···1··1·1···1·······11·1········11111··1·11·········1····1···111····111··11······1111··1····1····1·····1···11····11·1·1··1·11··1···1··11··1·1·11·111··1·1··111···11··1·
check 149 (280)·11·11·1···1·····1····1··11111·111···11·····1111·111···1··111111·1111··1···11···1··1·1·111·1·1·11·1·1······11·111111111·1···11·······111·1·1·11111·1······1··1····1·111··1111··1·1······1111····111····1·1·1··11···111···11·1·111···1·1·111·111········111·111·1···1·1111·11·····111··1111·1111·1··1··1··1·1·1·1111·11·1····1·111·1·1·1·1·1··11·111···11·111···1···1··11···111··1···1111··1·111··11·11···1111111··1···1···11·1·····111111·11··11·1···1··11·1111·1··11··11·····1··11·1·1·11·11··1··1··1111·1·1·11·1····1·11··11111·111····1·1··11··1111111··1·1··111···1···111·
check 150 (280)1·1·1·1··111··11·11·1····11···1·1··1111·1··1111·111·11·1···1···1··1·1·1111·1···1·1·111····11······1···11·11····1····1·1111····1·1···11·11····1·······111·11··111··11111···1111·1····1·1··111·111·111····11··1··1·1111·1····1·111·1·1·11·1·1·1·1·111··11·11··1··1·1··111···1···11·111···1·111111111·1111·1·1111···111111·11····1··11·11·1··1·11·1·111·1·1····1·11·1······1·111··1·1·1·1···1···111···1·111·1·11··11·11111·1···1·11··11··1·1·111··1··11··1·1·11··111111··1·11···1·1···111··1··1··11·1·111···1···111·1·1··111······111111··1··11·11·11·····111···1····111·1··11·11
check 151 (280)·11··11·111······1·1·1·111·1··1111·1···111·1·1·1·11·11··11111·1···1··11·111·11·111·1111·1·1·1··1····1·1·1··1·11·111···1···11·11·1····1···1·1······1··1·11111··11111111··11····111·111·1·11···11··1··111·1·11···1·1··1··11··111111111·····1·1·1··1···1·1··1·1·1···11·1·1··1··1·1111·11··111·11·11··1·1111···11·1··1····1··11··1·1··1··111···1·1···1····1·1····1·····1···1·1·11··1··1···11·11··1··111·····111···11111··1·1··111··1···111·1·11·1·11·1·····1·111··1····11·11·11·1·1·11111····1·11···1·1··11·11·11111·11·1··1111·11·11·1111·1·111·11·11··1··11··1·11····1111·1··11·
check 152 (280)···1·11·1·1··1··111···1··1··111··111··1·1·1·11·1·11···11····1·11·1·1·111··111··11·1·111···1·1111111·11·111111··1·1···1·11·11111·11·1·11·1·1···1·111···1··111111111·1111····111·111··1··1·1··1··1·11··1·111·1·1·1·11·1···1111·111111·11·111···1··········11···11·11111·1···11····11···1·1··1111··1·11···1·111··1····11·1····11··111···1··11····11···111··1·1·1··111·11··1·1···1···1·1·1···11·111··1··111···111··11111··1···11·1·1·1··111·11··1··1·11·····11111··1·1··11··1··1··11·1··1·1··1·11·111·11···1·1·1···1··········1·1111·11··111···1111····11····11··11111·1···1·1··11
check 153 (280)·1··1··1·11··1··1··111·111····1·111········1··1111·1··111111·1··1111·1111·1··11·111··1···11·1··1111·111····1·11·····1··11·11········1··1··1·1111111···1··1··111···11··1·1···11·11·11··1··11·1·····111·1·1····111111·1·1·1···1···1·····111····1·1·11·11·111·11··11··1··1·····111111·1·1·11·1111···1·1··1·1··1···111··111······111111111···11111···11··1·1··1·11·1·1·1···11··11·1·111··1···111··1111·1·········1111111··11·111111·1··1···1····1··1···1·11111···11···11111·1··11··1·111·11·11·····1·11·····1···1··11·1··11111111··11·111111··1·11·1··1·1··11·1111·111·1·····111·1
check 154 (264)···········11·1··1··1111······1·11··1·111·11·1·······1··11··1·11111111···11··1··111·1·1·1·1111·11·1··11···11·11·11··1··1·11······11·11·11·11··11···11··1·1·1111··11·1······11··1·1······1···11··11···1····1···1··11·1·····1··1·11··111····11·1····11·1·1····111··1111111···11··············1·1·111111·1···1····1··11···11·11·11·111·········1·11111·11·1···1··11·1··111·1·11····111··11···11·····11·111111·11111111··11····11··11··11··1111·1·11·11·1111·1··11··1·····11111·1·11111111·1·11·11·1···1111111·111·1····1···1··1·111111·1·11·····11··1·1··11··111···1·······11····
check 155 (272)1··········1·1······1··11·111····11111111·111·1······1··11·11··1·11···11··111····1·111··1·111·111·1··1····11·1····1··1··111·1111·1····111·11··11···1·111·111····1·1111··11··1····1·······11·11··11···1·······1·····1·1·1·1·11·1····111·1·111·1·1··11·1·1·1··11··1··1··111·1··11·111········1·1·······1···1111111111·1·111··1·11·11·11·······1·11··11··1·11·1·11·11111·1··111···11·1··11···1······11·1·······1··1····1··1··1·111111·11··1111·1·111··11···1·1·1··1·111·11·11111·111111111·111·11·1········1······1111·11111·111111·1··1·11··1··11··1·1·1··11·1··1···111111111111
check 156 (256)·······1··1····11··11·11·····1·11··1·1······1·1··111··1111·11·111··111··11111·1·111··1··111··11·1···11····1111·11·11·11·1·11···1··1··11·11·1···1···1·11·11······11··1·····1··1··1·11·11·11111··1·1111·1·1111·1··1·11111111111····1·11111··1111···11·1111·····1·········1····1··1······1··1······11··11··11···1···11··1····1·······1··11111·111··11··11·111·11···11·1···1111··11·1·11·111·11······1111·1···1·11·11··1··11·1··1···11··11··1·1·1·11·1·1·······11···1····1··1···1··11··11·11··111··1·11·11·1·1111·1··1···11111111·1··11·1··1····11··1111·····1·········1·····1··1·
check 157 (256)·1··1···1··1···11··11·11·····1·11··111·1·11··1111···11··1·11·1···11·1···11·····11··11·11···11···11···1111··1·1·1111·1··111···1111111·1·1··1···1··1···11·11······11··1·····1···11·1·11··1111·1···1······1·····1·11··1·····11·····1·1······1111·11····11·11·111·11·1·1··1·111·111·11·1·1·1···1····11··11··11···1···11··1···11·11·1···111···1·11·1··11··1··111··11····11··1111··11·····1·1·11··111111·1·1·111·1·111111·1·111····1·1···1···1·1·1··11·1·1·······11···1····1···1·1·1··11···11111··1····1······1··1·1·1···11·······1·1···11·11·11·11111··1·11···1·111·111·1·1111·1111

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 n558Noisy T states per run.
outputs k146
distance d3Exact, proved and witnessed here.
error coefficient A_{3}6,309Faults 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 N158
checks r12
V_{\mathrm{ex}}146T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.2204Overhead per extractable T state. Lower is better.
\gamma = \log(n/k)/\log d1.2204Overhead 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 width146Rank of the output rows modulo the check rows.

Output gate

146 T0 CS0 CCZon 146 output wires

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

As monomials: 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100+101+102+103+104+105+106+107+108+109+110+111+112+113+114+115+116+117+118+119+120+121+122+123+124+125+126+127+128+129+130+131+132+133+134+135+136+137+138+139+140+141+142+143+144+145 (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 146 single-wire gates: \mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23 and 122 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 146 correction gates

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

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

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

Convert the output with CNOT and S

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

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

Python code that writes the same list
import json, urllib.request

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


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

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


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


url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/558.146.3.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-558.146.3.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 6,309 faults of weight 3 are undetectable and damaging, so A_{3}=6{,}309. 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 [0,2,342].

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

Original source

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

Provenance

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

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

Discovery: AI search

1 recorded source
[
 {
  "regime": "AI search (gamma frontier): from Wills parent codes",
  "file": "gamma_frontier_release/protocols/restricted_light_558_146_3.json",
  "label": "restricted_light_558_146_3",
  "N": 158,
  "d": 3,
  "d_is_exact": true,
  "origin": "Wills-derived restricted-light construction",
  "provenance": "gamma frontier release record restricted_light_558_146_3 (source catalogue id restricted_light_558_146_3); construction: Wills-derived restricted-light construction; matrix 97cbd80b1741d9d3...; the release states d=3 (exact), gamma=1.2204053736722902 (exact)",
  "notes": "matrix gamma_frontier_release/matrices/97cbd80b1741d9d3740bca5af87277751fe5c87a7759f74abef271847b8e669e.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/558.146.3.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[1128].