LLS now gives us the tools to investigate whether a stable chainable version exists. Unfortunately, my searches suggest that it's unlikely that an elementary, symmetric chainable catalyst exists at low-ish repeat times.Extrementhusiast wrote: ↑November 17th, 2020, 9:40 pmMerely misguided expectations that it should be chainable like the P15 version:Code: Select all
x = 37, y = 13, rule = LifeHistory 17.3D$17.D.D$17.D.D$5.2A23.2A$6.A23.A$6.A.A19.A.A$2A5.2A19.2A5.2A$.A 33.A$.A.A29.A.A$2.2A13.3C13.2A$6.2A9.C.C9.2A$5.A.A9.C.C9.A.A$5.2A23. 2A!
Attached is the current LLS file I'm running, which should take another day or two to finish. The version with one fewer generation of repeat time took 10-12 hours to complete. The strategically-placed zeros in the middle of the final generation's asterisks are wwei-style branch-cutting to rule out the ship+eater result and a regular eater-based result, neither of which work.
EDIT: For future readers: this search finished and indeed came back with no results.
Code: Select all
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k12'
k13' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k13'
k14' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k14'
k15' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k15'
k16' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k16'
k17' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k17'
k18' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k18'
k19' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k19'
k20' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k20'
k21' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k21'
k22' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k22'
k23' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k23'
k24' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k24'
k25' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k25'
k26' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k26'
k27' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k27'
k28' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k28'
k29' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k29'
k30' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k30'
k31' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k31'
k32' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k32'
k33' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k33'
k34' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k34'
k35' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k35'
k36' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k36'
k37' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k37'
k38' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k12'
k13' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k13'
k14' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k14'
k15' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k15'
k16' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k16'
k17' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k17'
k18' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k18'
k19' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k19'
k20' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k20'
k21' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k21'
k22' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k22'
k23' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k23'
k24' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k24'
k25' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k25'
k26' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k26'
k27' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k27'
k28' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k28'
k29' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k29'
k30' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k30'
k31' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k31'
k32' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k32'
k33' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k33'
k34' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k34'
k35' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k35'
k36' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k36'
k37' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k37'
k38' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
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k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
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k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
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k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
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k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
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k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
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k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
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k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
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k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
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k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
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k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
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k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
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k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
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k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
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k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
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k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
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k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
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k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
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k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
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k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
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k12' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k12'
k13' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k13'
k14' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k14'
k15' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k15'
k16' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k16'
k17' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k17'
k18' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k18'
k19' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k19'
k20' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k20'
k21' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k21'
k22' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k22'
k23' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k23'
k24' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k24'
k25' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k25'
k26' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k26'
k27' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k27'
k28' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k28'
k29' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k29'
k30' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k30'
k31' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k31'
k32' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k32'
k33' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k33'
k34' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k34'
k35' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k35'
k36' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k36'
k37' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k37'
k38' * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'
k1' k2' k3' k4' k5' k6' k7' k8' k9' k10' k11' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k11' k10' k9' k8' k7' k6' k5' k4' k3' k2' k1'
k12' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 * * * * * * * * * * * * * * * * * j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k12'
k13' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 * * * * * * * * * * * * * * * * * j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k13'
k14' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 * * * * * * * * * * * * * * * * * j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k14'
k15' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 * * * * * * * * * * * * * * * * * j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k15'
k16' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 * * * * * * * * * * * * * * * * * j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k16'
k17' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 * * * * * * * * * * * * * * * * * j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k17'
k18' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 * * * * * * * * * * * * * * * * * j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k18'
k19' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 * * * * * * * * * * * * * * * * * j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k19'
k20' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 * * * * * * * * * * * * * * * * * j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k20'
k21' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 * * 0 0 * * * * * * * * * 0 0 * * j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k21'
k22' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 * * * * * * * * * * * * * * * * * j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k22'
k23' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 * * * * * * * * * * * * * * * * * j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k23'
k24' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 * * * * * * * * * * * * * * * * * j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k24'
k25' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 * * * * * * * * * * * * * * * * * j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k25'
k26' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 * * * * * * * * * * * * * * * * * j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k26'
k27' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 * * * * * * * * * * * * * * * * * j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k27'
k28' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 * * * * * * * * * * * * * * * * * j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k28'
k29' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k29'
k30' a1 b1 c1 d1 e1 f1 g1 h1 i1 j1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 j1 i1 h1 g1 f1 e1 d1 c1 b1 a1 k30'
k31' a2 b2 c2 d2 e2 f2 g2 h2 i2 j2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 j2 i2 h2 g2 f2 e2 d2 c2 b2 a2 k31'
k32' a3 b3 c3 d3 e3 f3 g3 h3 i3 j3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j3 i3 h3 g3 f3 e3 d3 c3 b3 a3 k32'
k33' a4 b4 c4 d4 e4 f4 g4 h4 i4 j4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j4 i4 h4 g4 f4 e4 d4 c4 b4 a4 k33'
k34' a5 b5 c5 d5 e5 f5 g5 h5 i5 j5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j5 i5 h5 g5 f5 e5 d5 c5 b5 a5 k34'
k35' a6 b6 c6 d6 e6 f6 g6 h6 i6 j6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j6 i6 h6 g6 f6 e6 d6 c6 b6 a6 k35'
k36' a7 b7 c7 d7 e7 f7 g7 h7 i7 j7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j7 i7 h7 g7 f7 e7 d7 c7 b7 a7 k36'
k37' a8 b8 c8 d8 e8 f8 g8 h8 i8 j8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j8 i8 h8 g8 f8 e8 d8 c8 b8 a8 k37'
k38' a9 b9 c9 d9 e9 f9 g9 h9 i9 j9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j9 i9 h9 g9 f9 e9 d9 c9 b9 a9 k38'
k39' k40' k41' k42' k43' k44' k45' k46' k47' k48' k49' 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k49' k48' k47' k46' k45' k44' k43' k42' k41' k40' k39'