======= EXTENDING TO HEAP 1 ======= Previous presentation: Size 1: { } [ 1 ] P = { } { } Marking . . . (0 seconds) Building equivalence map (2 words) . . . (0 seconds) Verifying presentation: Size 2: { a2=1 } [ 1 a ] P = a { } { a2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a (0 seconds) Collapsing generators . . . a (0 seconds) Finished extending to heap 1. 0.15 to heap 1 (after 0 seconds): Size 2: { a2=1 } [ 1 a ] P = a { } { a2=1 } ======= EXTENDING TO HEAP 2 ======= Previous presentation: Size 2: { a2=1 } [ 1 a ] P = a { } { a2=1 } Checking 1 candidate . (0 seconds) 0.15 to heap 2 (after 0 seconds): Size 2: { a2=1 } [ 1 a a ] P = a { } { a2=1 } ======= EXTENDING TO HEAP 3 ======= Previous presentation: Size 2: { a2=1 } [ 1 a a ] P = a { } { a2=1 } 0.15 to heap 3 (after 0 seconds): Size 2: { a2=1 } [ 1 a a 1 ] P = a { } { a2=1 } ======= EXTENDING TO HEAP 4 ======= Previous presentation: Size 2: { a2=1 } [ 1 a a 1 ] P = a { } { a2=1 } Checking 1 candidate . (0 seconds) 0.15 to heap 4 (after 0 seconds): Size 2: { a2=1 } [ 1 a a 1 a ] P = a { } { a2=1 } ======= EXTENDING TO HEAP 5 ======= Previous presentation: Size 2: { a2=1 } [ 1 a a 1 a ] P = a { } { a2=1 } Checking 1 candidate . (0 seconds) 0.15 to heap 5 (after 0 seconds): Size 2: { a2=1 } [ 1 a a 1 a a ] P = a { } { a2=1 } ======= EXTENDING TO HEAP 6 ======= Previous presentation: Size 2: { a2=1 } [ 1 a a 1 a a ] P = a { } { a2=1 } Marking . . . (0 seconds) Building equivalence map (4 words) . . . (0 seconds) Verifying presentation: Size 4: { a2=1 b2=1 } [ 1 a a 1 a a b ] P = a { } { a2=1 b2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: 1 -> N: b2 [ 0 0 0 0 0 0 1 ] Weakening b. Marking . . . (0 seconds) Building equivalence map (6 words) . . . (0 seconds) Verifying presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b ] P = a b2 { } { a2=1 b3=b } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b (0 seconds) Collapsing generators . . . a b (0 seconds) Finished extending to heap 6. 0.15 to heap 6 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 7 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b ] P = a b2 { } { a2=1 b3=b } Checking 2 candidates . (0 seconds) 0.15 to heap 7 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 8 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b ] P = a b2 { } { a2=1 b3=b } Checking 3 candidates . (0 seconds) 0.15 to heap 8 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 9 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a ] P = a b2 { } { a2=1 b3=b } Checking 1 candidate . (0 seconds) 0.15 to heap 9 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 10 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b ] P = a b2 { } { a2=1 b3=b } Checking 1 candidate . (0 seconds) 0.15 to heap 10 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 11 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b ] P = a b2 { } { a2=1 b3=b } Checking 1 candidate . (0 seconds) 0.15 to heap 11 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b a ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 12 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b a ] P = a b2 { } { a2=1 b3=b } Checking 1 candidate . (0 seconds) 0.15 to heap 12 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b a a ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 13 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b a a ] P = a b2 { } { a2=1 b3=b } Checking 2 candidates . (0 seconds) 0.15 to heap 13 (after 0 seconds): Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b a a 1 ] P = a b2 { } { a2=1 b3=b } ======= EXTENDING TO HEAP 14 ======= Previous presentation: Size 6: { a2=1 b3=b } [ 1 a a 1 a a b b a b b a a 1 ] P = a b2 { } { a2=1 b3=b } Marking . . . (0 seconds) Building equivalence map (12 words) . . . (0 seconds) Verifying presentation: Size 8: { a2=1 b3=b c2=1 } [ 1 a a 1 a a b b a b b a a 1 c ] P = a b2 { bc=ab } { a2=1 b3=b c2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: 1 -> N: c2 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening c. Marking . . . (0 seconds) Building equivalence map (18 words) . . . (0 seconds) Verifying presentation: Size 10: { a2=1 b3=b c3=c } [ 1 a a 1 a a b b a b b a a 1 c ] P = a b2 c2 { bc=ab } { a2=1 b3=b c3=c } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: ac -> N: ac3 [ 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 ] Weakening c. Marking . . . (0 seconds) Building equivalence map (24 words) . . . (0 seconds) Verifying presentation: Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c (0 seconds) Collapsing generators . . . a b c (0 seconds) Finished extending to heap 14. 0.15 to heap 14 (after 0 seconds): Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } ======= EXTENDING TO HEAP 15 ======= Previous presentation: Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } Checking 1 candidate . (0 seconds) 0.15 to heap 15 (after 0 seconds): Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c c ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } ======= EXTENDING TO HEAP 16 ======= Previous presentation: Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c c ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } Checking 1 candidate . (0 seconds) 0.15 to heap 16 (after 0 seconds): Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c c b ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } ======= EXTENDING TO HEAP 17 ======= Previous presentation: Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c c b ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } Checking 1 candidate . (0 seconds) 0.15 to heap 17 (after 0 seconds): Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c c b b ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } ======= EXTENDING TO HEAP 18 ======= Previous presentation: Size 8: { a2=1 b3=b c4=c2 } [ 1 a a 1 a a b b a b b a a 1 c c b b ] P = a b2 { bc=ab c2=b2 } { a2=1 b3=b c2=b2 } Checking 3 candidates ... (0 seconds) Marking . . . (0 seconds) Building equivalence map (48 words) . . . (0 seconds) Verifying presentation: Size 12: { a2=1 b3=b c4=c2 d2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d ] P = a b2 { bc=ab c2=b2 bd=b2 } { a2=1 b3=b c2=b2 d2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: 1 -> N: d2 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening d. Marking . . . (0 seconds) Building equivalence map (72 words) . . . (0 seconds) Verifying presentation: Size 8: { a2=1 b3=b c4=c2 d3=d } [ 1 a a 1 a a b b a b b a a 1 c c b b d ] P = a b2 { bc=ab c2=b2 d=b } { a2=1 b3=b c2=b2 d=b } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: ad -> N: ad3 [ 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 ] Weakening d. Marking . . . (0 seconds) Building equivalence map (96 words) . . . (0 seconds) Verifying presentation: Size 16: { a2=1 b3=b c4=c2 d4=d2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d ] P = a b2 bd d2 { bc=ab c2=b2 b2d=d cd=ad d3=ad2 } { a2=1 b3=b c2=b2 d3=ad2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c d (0 seconds) Collapsing generators . . . a b c d (0 seconds) Finished extending to heap 18. 0.15 to heap 18 (after 0 seconds): Size 16: { a2=1 b3=b c4=c2 d4=d2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d ] P = a b2 bd d2 { bc=ab c2=b2 b2d=d cd=ad d3=ad2 } { a2=1 b3=b c2=b2 d3=ad2 } ======= EXTENDING TO HEAP 19 ======= Previous presentation: Size 16: { a2=1 b3=b c4=c2 d4=d2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d ] P = a b2 bd d2 { bc=ab c2=b2 b2d=d cd=ad d3=ad2 } { a2=1 b3=b c2=b2 d3=ad2 } Checking 1 candidate . (0 seconds) 0.15 to heap 19 (after 0 seconds): Size 16: { a2=1 b3=b c4=c2 d4=d2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b ] P = a b2 bd d2 { bc=ab c2=b2 b2d=d cd=ad d3=ad2 } { a2=1 b3=b c2=b2 d3=ad2 } ======= EXTENDING TO HEAP 20 ======= Previous presentation: Size 16: { a2=1 b3=b c4=c2 d4=d2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b ] P = a b2 bd d2 { bc=ab c2=b2 b2d=d cd=ad d3=ad2 } { a2=1 b3=b c2=b2 d3=ad2 } Checking 1 candidate . (0 seconds) Marking . . . (0 seconds) Building equivalence map (192 words) . . . (0 seconds) Verifying presentation: Size 28: { a2=1 b3=b c4=c2 d4=d2 e2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e ] P = a b2 ab2c bd d2 ae { c2=ab2c b2d=d cd=ad d3=ad2 bce=b2c de=bd } { a2=1 b3=b c2=ab2c d3=ad2 e2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: be -> N: a2b3e [ 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening b. Marking . . . (0 seconds) Building equivalence map (256 words) . . . (0 seconds) Verifying presentation: Size 20: { a2=1 b4=b2 c4=c2 d4=d2 e2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e ] P = a b2 bd d2 ae { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 be=ac de=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c d e (0 seconds) Collapsing generators . . . a b c d e (0 seconds) Finished extending to heap 20. 0.15 to heap 20 (after 0 seconds): Size 20: { a2=1 b4=b2 c4=c2 d2=1 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d ] P = a b2 c2 ad cd { b3=ab2 bc=ac c3=ac2 } { a2=1 b3=ab2 c3=ac2 d2=1 } ======= EXTENDING TO HEAP 21 ======= Previous presentation: Size 20: { a2=1 b4=b2 c4=c2 d4=d2 e2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e ] P = a b2 bd d2 ae { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 be=ac de=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e2=1 } Checking 1 candidate . (0 seconds) 0.15 to heap 21 (after 0 seconds): Size 20: { a2=1 b4=b2 c4=c2 d2=1 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d b ] P = a b2 c2 ad cd { b3=ab2 bc=ac c3=ac2 } { a2=1 b3=ab2 c3=ac2 d2=1 } ======= EXTENDING TO HEAP 22 ======= Previous presentation: Size 20: { a2=1 b4=b2 c4=c2 d4=d2 e2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c ] P = a b2 bd d2 ae { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 be=ac de=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e2=1 } Checking 1 candidate . (0 seconds) 0.15 to heap 22 (after 0 seconds): Size 20: { a2=1 b4=b2 c4=c2 d2=1 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d b b ] P = a b2 c2 ad cd { b3=ab2 bc=ac c3=ac2 } { a2=1 b3=ab2 c3=ac2 d2=1 } ======= EXTENDING TO HEAP 23 ======= Previous presentation: Size 20: { a2=1 b4=b2 c4=c2 d4=d2 e2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c ] P = a b2 bd d2 ae { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 be=ac de=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e2=1 } Checking 1 candidate . (0 seconds) Marking . . . (0 seconds) Building equivalence map (512 words) . . . (0 seconds) Verifying presentation: Size 32: { a2=1 b4=b2 c4=c2 d4=d2 e2=1 f2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f ] P = a b2 bd d2 ae af bef { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd b2f=b2 cf=c df=d } { a2=1 b4=b2 c2=b2 d3=ad2 e2=1 f2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: ae -> P: aef2 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening f. Marking . . . (0 seconds) Building equivalence map (768 words) . . . (0 seconds) Verifying presentation: Size 28: { a2=1 b4=b2 c4=c2 d4=d2 e2=1 f3=f } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f ] P = a b2 bd d2 ae af { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd bf=b3 cf=c df=d f2=f } { a2=1 b4=b2 c2=b2 d3=ad2 e2=1 f2=f } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: af -> P: ae2f [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 ] Weakening e. Marking . . . (0 seconds) Building equivalence map (1152 words) . . . (0 seconds) Verifying presentation: Size 38: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f3=f } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f ] P = a b2 bd d2 ae ae2 af af2 e2f2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 ce=ab de=bd bf=b3 df=d cf2=cf } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: e2f -> N: a2e2f3 [ 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 ] Weakening f. Marking . . . (0 seconds) Building equivalence map (1536 words) . . . (0 seconds) Verifying presentation: Size 30: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f ] P = a b2 bd d2 ae ae2 af af2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 ce=ab de=bd bf=b3 df=d ef=b cf2=cf f3=f2 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c d e f (0 seconds) Collapsing generators . . . a b c d e f (0 seconds) Finished extending to heap 23. 0.15 to heap 23 (after 0 seconds): Size 30: { a2=1 b4=b2 c4=c2 d3=d e4=e2 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d b b e ] P = a b2 c2 ad cd ad2 ae ae2 { b3=ab2 bc=ac c3=ac2 b2d2=b2 cd2=c b2e=b2 ce=c de=abd be2=be e3=e2 } { a2=1 b3=ab2 c3=ac2 d3=d e3=e2 } ======= EXTENDING TO HEAP 24 ======= Previous presentation: Size 30: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f ] P = a b2 bd d2 ae ae2 af af2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 ce=ab de=bd bf=b3 df=d ef=b cf2=cf f3=f2 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 } Checking 1 candidate . (0 seconds) 0.15 to heap 24 (after 0 seconds): Size 30: { a2=1 b4=b2 c4=c2 d3=d e4=e2 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d b b e b ] P = a b2 c2 ad cd ad2 ae ae2 { b3=ab2 bc=ac c3=ac2 b2d2=b2 cd2=c b2e=b2 ce=c de=abd be2=be e3=e2 } { a2=1 b3=ab2 c3=ac2 d3=d e3=e2 } ======= EXTENDING TO HEAP 25 ======= Previous presentation: Size 30: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c ] P = a b2 bd d2 ae ae2 af af2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 ce=ab de=bd bf=b3 df=d ef=b cf2=cf f3=f2 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 } Checking 1 candidate . (0 seconds) 0.15 to heap 25 (after 0 seconds): Size 30: { a2=1 b4=b2 c4=c2 d3=d e4=e2 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d b b e b b ] P = a b2 c2 ad cd ad2 ae ae2 { b3=ab2 bc=ac c3=ac2 b2d2=b2 cd2=c b2e=b2 ce=c de=abd be2=be e3=e2 } { a2=1 b3=ab2 c3=ac2 d3=d e3=e2 } ======= EXTENDING TO HEAP 26 ======= Previous presentation: Size 30: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c ] P = a b2 bd d2 ae ae2 af af2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 ce=ab de=bd bf=b3 df=d ef=b cf2=cf f3=f2 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 } Checking 1 candidate . (0 seconds) 0.15 to heap 26 (after 0 seconds): Size 30: { a2=1 b4=b2 c4=c2 d3=d e4=e2 } [ 1 a a 1 a a abd abd a abd abd a a 1 b b abd abd c abd d b b e b b abd ] P = a b2 c2 ad cd ad2 ae ae2 { b3=ab2 bc=ac c3=ac2 b2d2=b2 cd2=c b2e=b2 ce=c de=abd be2=be e3=e2 } { a2=1 b3=ab2 c3=ac2 d3=d e3=e2 } ======= EXTENDING TO HEAP 27 ======= Previous presentation: Size 30: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b ] P = a b2 bd d2 ae ae2 af af2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 ce=ab de=bd bf=b3 df=d ef=b cf2=cf f3=f2 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 } Checking 1 candidate . (0 seconds) Marking . . . (0 seconds) Building equivalence map (3072 words) . . . (0 seconds) Verifying presentation: Size 52: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g ] P = a b2 bd d2 ae ae2 af af2 ag aceg { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 dg=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: a -> P: ag2 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening g. Marking . . . (0 seconds) Building equivalence map (4608 words) . . . (0 seconds) Verifying presentation: Size 48: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g3=g } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g ] P = a b2 bd d2 ae ae2 af af2 ag e2g2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd beg=b3 fg=b3 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g3=g } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: ag -> P: ag3 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening g. Marking . . . (0 seconds) Building equivalence map (6144 words) . . . (0 seconds) Verifying presentation: Size 40: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g4=g2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g ] P = a b2 bd d2 ae ae2 af af2 ag { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 bg2=b3 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g4=g2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: g2 -> N: a2g4 [ 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening g. Marking . . . (0 seconds) Building equivalence map (7680 words) . . . (0 seconds) Verifying presentation: Size 36: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g ] P = a b2 bd d2 ae ae2 af af2 ag { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c d e f g (0 seconds) Collapsing generators . . . a b c d e f g (0 seconds) Finished extending to heap 27. 0.15 to heap 27 (after 0 seconds): Size 36: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g ] P = a b2 bd d2 ae ae2 af af2 ag { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg } ======= EXTENDING TO HEAP 28 ======= Previous presentation: Size 36: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g ] P = a b2 bd d2 ae ae2 af af2 ag { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg } Checking 6 candidates .... (0 seconds) 0.15 to heap 28 (after 0 seconds): Size 36: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d ] P = a b2 bd d2 ae ae2 af af2 ag { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg } ======= EXTENDING TO HEAP 29 ======= Previous presentation: Size 36: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d ] P = a b2 bd d2 ae ae2 af af2 ag { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg } Checking 4 candidates .... (0 seconds) Marking . . . (0 seconds) Building equivalence map (15360 words) . . . (0 seconds) Verifying presentation: Size 60: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 h2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h ] P = a b2 bd d2 ae ae2 af af2 ag ah aceh { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg b2h=b3 dh=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg h2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: 1 -> N: h2 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening h. Marking . . . (0 seconds) Building equivalence map (23040 words) . . . (0 seconds) Verifying presentation: Size 52: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 h3=h } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h ] P = a b2 bd d2 ae ae2 af af2 ag ah h2 e2h2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg b2h=b3 ch=ab3 dh=bd beh=b3 fh=b3 gh=bh } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg h3=h } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: ah -> P: ah3 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening h. Marking . . . (0 seconds) Building equivalence map (30720 words) . . . (0 seconds) Verifying presentation: Size 38: { a2=1 b4=b2 c4=c2 d4=d2 e3=e f4=f2 g5=g3 h4=h2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h ] P = a b2 bd d2 ae ae2 af af2 ag ah { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=be fh=b3 gh=bg h2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e3=e f3=f2 g2=bg h2=b2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: eh -> N: a2e3h [ 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 ] Weakening e. Marking . . . (0 seconds) Building equivalence map (40960 words) . . . (0 seconds) Verifying presentation: Size 40: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c d e f g h (0 seconds) Collapsing generators . . . a b c d e f g h (0 seconds) Finished extending to heap 29. 0.15 to heap 29 (after 1 seconds): Size 40: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 } ======= EXTENDING TO HEAP 30 ======= Previous presentation: Size 40: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 } Checking 3 candidates ... (0 seconds) Marking . . . (0 seconds) Building equivalence map (81920 words) . . . (0 seconds) Verifying presentation: Size 68: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i2=1 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai acei hi { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 b2i=b3 di=bd } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=1 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: 1 -> N: i2 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening i. Marking . . . (0 seconds) Building equivalence map (122880 words) . . . (0 seconds) Verifying presentation: Size 56: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i3=i } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai i2 e2i2 { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 b2i=b3 ci=ab3 di=bd bei=b3 e3i=ei fi=b3 gi=bi hi=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i3=i } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Failed: ai -> P: ai3 [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] Weakening i. Marking . . . (0 seconds) Building equivalence map (163840 words) . . . (0 seconds) Verifying presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Running P-verification . . . 0 seconds. Running N-verification . . . 0 seconds. Strengthening generators . . . a b c d e f g h i (0 seconds) Collapsing generators . . . a b c d e f g h i (0 seconds) Finished extending to heap 30. 0.15 to heap 30 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 31 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 31 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 32 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 32 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 33 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 2 candidates .. (0 seconds) 0.15 to heap 33 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 34 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 34 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 35 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 2 candidates .. (0 seconds) 0.15 to heap 35 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 36 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 36 (after 5 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 37 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 6 candidates ..... (0 seconds) 0.15 to heap 37 (after 6 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 38 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 38 (after 6 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 39 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 6 candidates ..... (0 seconds) 0.15 to heap 39 (after 6 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 40 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 6 candidates ..... (0 seconds) 0.15 to heap 40 (after 7 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 41 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 41 (after 7 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 42 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 2 candidates .. (0 seconds) 0.15 to heap 42 (after 7 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 43 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 43 (after 8 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 44 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 44 (after 8 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 45 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 45 (after 9 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 46 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 46 (after 9 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 47 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 6 candidates ..... (0 seconds) 0.15 to heap 47 (after 10 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 48 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 48 (after 11 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 49 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 6 candidates ..... (0 seconds) 0.15 to heap 49 (after 11 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 50 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 6 candidates ..... (0 seconds) 0.15 to heap 50 (after 12 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 51 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 51 (after 13 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 52 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 52 (after 14 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 53 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 53 (after 14 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 54 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 54 (after 15 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 55 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 55 (after 16 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 56 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 56 (after 17 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 57 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 57 (after 18 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 58 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 58 (after 18 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 59 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 59 (after 19 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 60 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 60 (after 20 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 61 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 61 (after 21 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 62 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 62 (after 22 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 63 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 63 (after 22 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 64 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 64 (after 23 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 65 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 65 (after 24 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 66 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 66 (after 25 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 67 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 67 (after 26 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 68 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 68 (after 27 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 69 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 69 (after 28 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 70 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 70 (after 28 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 71 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 71 (after 29 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 72 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 72 (after 30 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 73 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (1 seconds) 0.15 to heap 73 (after 31 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 74 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (1 seconds) 0.15 to heap 74 (after 32 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 75 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (1 seconds) 0.15 to heap 75 (after 33 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 76 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (1 seconds) 0.15 to heap 76 (after 35 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 77 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (1 seconds) 0.15 to heap 77 (after 36 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 78 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 78 (after 37 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 79 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 79 (after 37 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 80 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 80 (after 38 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 81 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 81 (after 39 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 82 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 82 (after 40 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 83 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 83 (after 41 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 84 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 84 (after 42 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 85 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 85 (after 43 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 86 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 86 (after 43 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 87 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 87 (after 44 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 88 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 88 (after 45 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 89 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 89 (after 46 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 90 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 90 (after 47 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 91 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 91 (after 48 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 92 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 92 (after 49 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 93 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 93 (after 50 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 94 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 94 (after 51 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 95 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 95 (after 52 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 96 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 96 (after 52 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 97 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 97 (after 53 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 98 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 98 (after 54 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 99 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 99 (after 55 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 100 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 100 (after 56 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 101 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 101 (after 57 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 102 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 102 (after 58 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 103 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 4 candidates .... (0 seconds) 0.15 to heap 103 (after 59 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 104 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 104 (after 59 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 105 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 5 candidates . (0 seconds) 0.15 to heap 105 (after 60 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 106 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 106 (after 61 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 107 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 107 (after 62 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 108 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 7 candidates .... (0 seconds) 0.15 to heap 108 (after 63 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 109 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } Checking 3 candidates .. (0 seconds) 0.15 to heap 109 (after 64 seconds): Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 ] P = a b2 bd d2 ae ae2 ae3 af af2 ag ah ai { bc=ab3 c2=b2 b2d=d cd=ad d3=ad2 b2e=b3 de=bd be2=ace ce2=abe bf=b3 df=d ef=ace cf2=cf f3=f2 b2g=b3 cg=ab3 dg=bd eg=be fg=b3 g2=bg bh=bg ch=ab3 dh=bd eh=bg fh=b3 gh=bg h2=b2 bi=bg ci=ab3 di=bd ei=be fi=b3 gi=bg hi=b2 i2=b2 } { a2=1 b4=b2 c2=b2 d3=ad2 e4=e2 f3=f2 g2=bg h2=b2 i2=b2 } ======= EXTENDING TO HEAP 110 ======= Previous presentation: Size 42: { a2=1 b4=b2 c4=c2 d4=d2 e4=e2 f4=f2 g5=g3 h4=h2 i4=i2 } [ 1 a a 1 a a b b a b b a a 1 c c b b d b e c c f c c b g d h i ab2 abg f abg abe b3 h d h h ab2 abe f2 abg abg b3 h d h h ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 abg f2 abg abg b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3 ab2 ab2 f2 ab2 ab2 b3 b3 d b3 b3