Split (1)

train · 500k rows

nums listlengths 4 4	target int64 10 100	solution listlengths 3 3	optimal_path stringlengths 282 529	start_size int64 4 4	search_path stringlengths 505 16.8k	rating float64 0 0.99	search_type stringclasses 5 values	heuristic stringclasses 2 values
[ 18, 3, 27, 76 ]	64	[ "18-3=15", "76-27=49", "15+49=64" ]	Current State: 64:[18, 3, 27, 76], Operations: [] Exploring Operation: 18-3=15, Resulting Numbers: [27, 76, 15] Generated Node #2: [27, 76, 15] from Operation: 18-3=15 Current State: 64:[27, 76, 15], Operations: ['18-3=15'] Exploring Operation: 76-27=49, Resulting Numbers: [15, 49] Generated Node #3: [15, 49] from Operation: 76-27=49 Current State: 64:[15, 49], Operations: ['18-3=15', '76-27=49'] Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[18, 3, 27, 76], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [3, 27, 58] Generated Node #0,0: 64:[3, 27, 58] Operation: 76-18=58 Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[3, 27, 58], Operations: ['76-18=58'] Exploring Operation: 58-27=31, Resulting Numbers: [3, 31] Generated Node #0,0,0: 64:[3, 31] Operation: 58-27=31 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 64:[3, 31], Operations: ['76-18=58', '58-27=31'] Exploring Operation: 3+31=34, Resulting Numbers: [34] 34,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 92, 41, 64, 80 ]	20	[ "64-41=23", "92/23=4", "80/4=20" ]	Current State: 20:[92, 41, 64, 80], Operations: [] Exploring Operation: 64-41=23, Resulting Numbers: [92, 80, 23] Generated Node #2: [92, 80, 23] from Operation: 64-41=23 Current State: 20:[92, 80, 23], Operations: ['64-41=23'] Exploring Operation: 92/23=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 92/23=4 Current State: 20:[80, 4], Operations: ['64-41=23', '92/23=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[92, 41, 64, 80], Operations: [] Exploring Operation: 92-80=12, Resulting Numbers: [41, 64, 12] Generated Node #0,0: 20:[41, 64, 12] Operation: 92-80=12 Moving to Node #0,0 Current State: 20:[41, 64, 12], Operations: ['92-80=12'] Exploring Operation: 64-41=23, Resulting Numbers: [12, 23] Generated Node #0,0,0: 20:[12, 23] Operation: 64-41=23 Moving to Node #0,0,0 Current State: 20:[12, 23], Operations: ['92-80=12', '64-41=23'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,20 unequal: No Solution No solution found.	0	hs_1	sum_heuristic
[ 5, 77, 39, 49 ]	27	[ "49-39=10", "5*10=50", "77-50=27" ]	Current State: 27:[5, 77, 39, 49], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [5, 77, 10] Generated Node #2: [5, 77, 10] from Operation: 49-39=10 Current State: 27:[5, 77, 10], Operations: ['49-39=10'] Exploring Operation: 510=50, Resulting Numbers: [77, 50] Generated Node #3: [77, 50] from Operation: 510=50 Current State: 27:[77, 50], Operations: ['49-39=10', '5*10=50'] Exploring Operation: 77-50=27, Resulting Numbers: [27] 27,27 equal: Goal Reached	4	Current State: 27:[5, 77, 39, 49], Operations: [] Exploring Operation: 39-5=34, Resulting Numbers: [77, 49, 34] Generated Node #0,0: 27:[77, 49, 34] Operation: 39-5=34 Exploring Operation: 77-49=28, Resulting Numbers: [5, 39, 28] Generated Node #0,1: 27:[5, 39, 28] Operation: 77-49=28 Exploring Operation: 49-39=10, Resulting Numbers: [5, 77, 10] Generated Node #0,2: 27:[5, 77, 10] Operation: 49-39=10 Exploring Operation: 77-39=38, Resulting Numbers: [5, 49, 38] Generated Node #0,3: 27:[5, 49, 38] Operation: 77-39=38 Exploring Operation: 77-5=72, Resulting Numbers: [39, 49, 72] Generated Node #0,4: 27:[39, 49, 72] Operation: 77-5=72 Start Sub Search at level 1: Moving to Node #0,1 Current State: 27:[5, 39, 28], Operations: ['77-49=28'] Exploring Operation: 39-5=34, Resulting Numbers: [28, 34] Generated Node #0,1,0: 27:[28, 34] Operation: 39-5=34 Exploring Operation: 28-5=23, Resulting Numbers: [39, 23] Generated Node #0,1,1: 27:[39, 23] Operation: 28-5=23 Exploring Operation: 39-28=11, Resulting Numbers: [5, 11] Generated Node #0,1,2: 27:[5, 11] Operation: 39-28=11 Exploring Operation: 5+39=44, Resulting Numbers: [28, 44] Generated Node #0,1,3: 27:[28, 44] Operation: 5+39=44 Exploring Operation: 5+28=33, Resulting Numbers: [39, 33] Generated Node #0,1,4: 27:[39, 33] Operation: 5+28=33 Moving to Node #0,1,2 Current State: 27:[5, 11], Operations: ['77-49=28', '39-28=11'] Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,27 unequal: No Solution Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 511=55, Resulting Numbers: [55] 55,27 unequal: No Solution Moving to Node #0,1,0 Current State: 27:[28, 34], Operations: ['77-49=28', '39-5=34'] Exploring Operation: 34-28=6, Resulting Numbers: [6] 6,27 unequal: No Solution Exploring Operation: 28+34=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 2834=952, Resulting Numbers: [952] 952,27 unequal: No Solution Moving to Node #0,1,1 Current State: 27:[39, 23], Operations: ['77-49=28', '28-5=23'] Exploring Operation: 39+23=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 39-23=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 3923=897, Resulting Numbers: [897] 897,27 unequal: No Solution Moving to Node #0,1,3 Current State: 27:[28, 44], Operations: ['77-49=28', '5+39=44'] Exploring Operation: 2844=1232, Resulting Numbers: [1232] 1232,27 unequal: No Solution Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 28+44=72, Resulting Numbers: [72] 72,27 unequal: No Solution Moving to Node #0,1,4 Current State: 27:[39, 33], Operations: ['77-49=28', '5+28=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,27 unequal: No Solution Exploring Operation: 3933=1287, Resulting Numbers: [1287] 1287,27 unequal: No Solution Exploring Operation: 39-33=6, Resulting Numbers: [6] 6,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 27:[5, 49, 38], Operations: ['77-39=38'] Exploring Operation: 5+38=43, Resulting Numbers: [49, 43] Generated Node #0,3,0: 27:[49, 43] Operation: 5+38=43 Exploring Operation: 5+49=54, Resulting Numbers: [38, 54] Generated Node #0,3,1: 27:[38, 54] Operation: 5+49=54 Exploring Operation: 49-5=44, Resulting Numbers: [38, 44] Generated Node #0,3,2: 27:[38, 44] Operation: 49-5=44 Exploring Operation: 38-5=33, Resulting Numbers: [49, 33] Generated Node #0,3,3: 27:[49, 33] Operation: 38-5=33 Exploring Operation: 49-38=11, Resulting Numbers: [5, 11] Generated Node #0,3,4: 27:[5, 11] Operation: 49-38=11 Moving to Node #0,3,4 Current State: 27:[5, 11], Operations: ['77-39=38', '49-38=11'] Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,27 unequal: No Solution Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 511=55, Resulting Numbers: [55] 55,27 unequal: No Solution Moving to Node #0,3,3 Current State: 27:[49, 33], Operations: ['77-39=38', '38-5=33'] Exploring Operation: 4933=1617, Resulting Numbers: [1617] 1617,27 unequal: No Solution Exploring Operation: 49-33=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,27 unequal: No Solution Moving to Node #0,3,2 Current State: 27:[38, 44], Operations: ['77-39=38', '49-5=44'] Exploring Operation: 44-38=6, Resulting Numbers: [6] 6,27 unequal: No Solution Exploring Operation: 3844=1672, Resulting Numbers: [1672] 1672,27 unequal: No Solution Exploring Operation: 38+44=82, Resulting Numbers: [82] 82,27 unequal: No Solution Moving to Node #0,3,0 Current State: 27:[49, 43], Operations: ['77-39=38', '5+38=43'] Exploring Operation: 49-43=6, Resulting Numbers: [6] 6,27 unequal: No Solution Exploring Operation: 4943=2107, Resulting Numbers: [2107] 2107,27 unequal: No Solution Exploring Operation: 49+43=92, Resulting Numbers: [92] 92,27 unequal: No Solution Moving to Node #0,3,1 Current State: 27:[38, 54], Operations: ['77-39=38', '5+49=54'] Exploring Operation: 3854=2052, Resulting Numbers: [2052] 2052,27 unequal: No Solution Exploring Operation: 54-38=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 38+54=92, Resulting Numbers: [92] 92,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 27:[5, 77, 10], Operations: ['49-39=10'] Exploring Operation: 10-5=5, Resulting Numbers: [77, 5] Generated Node #0,2,0: 27:[77, 5] Operation: 10-5=5 Exploring Operation: 5+77=82, Resulting Numbers: [10, 82] Generated Node #0,2,1: 27:[10, 82] Operation: 5+77=82 Exploring Operation: 77-5=72, Resulting Numbers: [10, 72] Generated Node #0,2,2: 27:[10, 72] Operation: 77-5=72 Exploring Operation: 77-10=67, Resulting Numbers: [5, 67] Generated Node #0,2,3: 27:[5, 67] Operation: 77-10=67 Exploring Operation: 10/5=2, Resulting Numbers: [77, 2] Generated Node #0,2,4: 27:[77, 2] Operation: 10/5=2 Moving to Node #0,2,3 Current State: 27:[5, 67], Operations: ['49-39=10', '77-10=67'] Exploring Operation: 567=335, Resulting Numbers: [335] 335,27 unequal: No Solution Exploring Operation: 5+67=72, Resulting Numbers: [72] 72,27 unequal: No Solution Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,27 unequal: No Solution Moving to Node #0,2,2 Current State: 27:[10, 72], Operations: ['49-39=10', '77-5=72'] Exploring Operation: 10+72=82, Resulting Numbers: [82] 82,27 unequal: No Solution Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 1072=720, Resulting Numbers: [720] 720,27 unequal: No Solution Moving to Node #0,2,4 Current State: 27:[77, 2], Operations: ['49-39=10', '10/5=2'] Exploring Operation: 772=154, Resulting Numbers: [154] 154,27 unequal: No Solution Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,27 unequal: No Solution Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,27 unequal: No Solution Moving to Node #0,2,0 Current State: 27:[77, 5], Operations: ['49-39=10', '10-5=5'] Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,27 unequal: No Solution Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,27 unequal: No Solution Exploring Operation: 775=385, Resulting Numbers: [385] 385,27 unequal: No Solution Moving to Node #0,2,1 Current State: 27:[10, 82], Operations: ['49-39=10', '5+77=82'] Exploring Operation: 1082=820, Resulting Numbers: [820] 820,27 unequal: No Solution Exploring Operation: 82-10=72, Resulting Numbers: [72] 72,27 unequal: No Solution Exploring Operation: 10+82=92, Resulting Numbers: [92] 92,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 27:[77, 49, 34], Operations: ['39-5=34'] Exploring Operation: 77-34=43, Resulting Numbers: [49, 43] Generated Node #0,0,0: 27:[49, 43] Operation: 77-34=43 Exploring Operation: 77-49=28, Resulting Numbers: [34, 28] Generated Node #0,0,1: 27:[34, 28] Operation: 77-49=28 Exploring Operation: 77+34=111, Resulting Numbers: [49, 111] Generated Node #0,0,2: 27:[49, 111] Operation: 77+34=111 Exploring Operation: 49-34=15, Resulting Numbers: [77, 15] Generated Node #0,0,3: 27:[77, 15] Operation: 49-34=15 Exploring Operation: 77+49=126, Resulting Numbers: [34, 126] Generated Node #0,0,4: 27:[34, 126] Operation: 77+49=126 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 27:[34, 28], Operations: ['39-5=34', '77-49=28'] Exploring Operation: 34-28=6, Resulting Numbers: [6] 6,27 unequal: No Solution Exploring Operation: 34+28=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 3428=952, Resulting Numbers: [952] 952,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 27:[49, 43], Operations: ['39-5=34', '77-34=43'] Exploring Operation: 4943=2107, Resulting Numbers: [2107] 2107,27 unequal: No Solution Exploring Operation: 49+43=92, Resulting Numbers: [92] 92,27 unequal: No Solution Exploring Operation: 49-43=6, Resulting Numbers: [6] 6,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 27:[77, 15], Operations: ['39-5=34', '49-34=15'] Exploring Operation: 77-15=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 7715=1155, Resulting Numbers: [1155] 1155,27 unequal: No Solution Exploring Operation: 77+15=92, Resulting Numbers: [92] 92,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 27:[49, 111], Operations: ['39-5=34', '77+34=111'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 49111=5439, Resulting Numbers: [5439] 5439,27 unequal: No Solution Exploring Operation: 49+111=160, Resulting Numbers: [160] 160,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 27:[34, 126], Operations: ['39-5=34', '77+49=126'] Exploring Operation: 34+126=160, Resulting Numbers: [160] 160,27 unequal: No Solution Exploring Operation: 34126=4284, Resulting Numbers: [4284] 4284,27 unequal: No Solution Exploring Operation: 126-34=92, Resulting Numbers: [92] 92,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 27:[39, 49, 72], Operations: ['77-5=72'] Exploring Operation: 72-39=33, Resulting Numbers: [49, 33] Generated Node #0,4,0: 27:[49, 33] Operation: 72-39=33 Exploring Operation: 39+72=111, Resulting Numbers: [49, 111] Generated Node #0,4,1: 27:[49, 111] Operation: 39+72=111 Exploring Operation: 72-49=23, Resulting Numbers: [39, 23] Generated Node #0,4,2: 27:[39, 23] Operation: 72-49=23 Exploring Operation: 39+49=88, Resulting Numbers: [72, 88] Generated Node #0,4,3: 27:[72, 88] Operation: 39+49=88 Exploring Operation: 49-39=10, Resulting Numbers: [72, 10] Generated Node #0,4,4: 27:[72, 10] Operation: 49-39=10 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 27:[39, 23], Operations: ['77-5=72', '72-49=23'] Exploring Operation: 39+23=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 39-23=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 3923=897, Resulting Numbers: [897] 897,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 27:[49, 33], Operations: ['77-5=72', '72-39=33'] Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,27 unequal: No Solution Exploring Operation: 49-33=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 4933=1617, Resulting Numbers: [1617] 1617,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 27:[72, 10], Operations: ['77-5=72', '49-39=10'] Exploring Operation: 72+10=82, Resulting Numbers: [82] 82,27 unequal: No Solution Exploring Operation: 7210=720, Resulting Numbers: [720] 720,27 unequal: No Solution Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 27:[49, 111], Operations: ['77-5=72', '39+72=111'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,27 unequal: No Solution Exploring Operation: 49111=5439, Resulting Numbers: [5439] 5439,27 unequal: No Solution Exploring Operation: 49+111=160, Resulting Numbers: [160] 160,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 27:[72, 88], Operations: ['77-5=72', '39+49=88'] Exploring Operation: 88-72=16, Resulting Numbers: [16] 16,27 unequal: No Solution Exploring Operation: 72*88=6336, Resulting Numbers: [6336] 6336,27 unequal: No Solution Exploring Operation: 72+88=160, Resulting Numbers: [160] 160,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	mult_heuristic
[ 52, 69, 3, 56 ]	99	[ "52+56=108", "69*3=207", "207-108=99" ]	Current State: 99:[52, 69, 3, 56], Operations: [] Exploring Operation: 52+56=108, Resulting Numbers: [69, 3, 108] Generated Node #2: [69, 3, 108] from Operation: 52+56=108 Current State: 99:[69, 3, 108], Operations: ['52+56=108'] Exploring Operation: 693=207, Resulting Numbers: [108, 207] Generated Node #3: [108, 207] from Operation: 693=207 Current State: 99:[108, 207], Operations: ['52+56=108', '69*3=207'] Exploring Operation: 207-108=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[52, 69, 3, 56], Operations: [] Exploring Operation: 69-52=17, Resulting Numbers: [3, 56, 17] Generated Node #0,0: 99:[3, 56, 17] Operation: 69-52=17 Exploring Operation: 69-56=13, Resulting Numbers: [52, 3, 13] Generated Node #0,1: 99:[52, 3, 13] Operation: 69-56=13 Moving to Node #0,1 Current State: 99:[52, 3, 13], Operations: ['69-56=13'] Exploring Operation: 52-13=39, Resulting Numbers: [3, 39] Generated Node #0,1,0: 99:[3, 39] Operation: 52-13=39 Exploring Operation: 52/13=4, Resulting Numbers: [3, 4] Generated Node #0,1,1: 99:[3, 4] Operation: 52/13=4 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 99:[3, 4], Operations: ['69-56=13', '52/13=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,99 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 99:[3, 39], Operations: ['69-56=13', '52-13=39'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,99 unequal: No Solution Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 99:[3, 56, 17], Operations: ['69-52=17'] Exploring Operation: 56-17=39, Resulting Numbers: [3, 39] Generated Node #0,0,0: 99:[3, 39] Operation: 56-17=39 Exploring Operation: 56-3=53, Resulting Numbers: [17, 53] Generated Node #0,0,1: 99:[17, 53] Operation: 56-3=53 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 99:[3, 39], Operations: ['69-52=17', '56-17=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,99 unequal: No Solution Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 99:[17, 53], Operations: ['69-52=17', '56-3=53'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,99 unequal: No Solution Exploring Operation: 17+53=70, Resulting Numbers: [70] 70,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 41, 80, 55, 95 ]	82	[ "41*80=3280", "95-55=40", "3280/40=82" ]	Current State: 82:[41, 80, 55, 95], Operations: [] Exploring Operation: 4180=3280, Resulting Numbers: [55, 95, 3280] Generated Node #2: [55, 95, 3280] from Operation: 4180=3280 Current State: 82:[55, 95, 3280], Operations: ['4180=3280'] Exploring Operation: 95-55=40, Resulting Numbers: [3280, 40] Generated Node #3: [3280, 40] from Operation: 95-55=40 Current State: 82:[3280, 40], Operations: ['4180=3280', '95-55=40'] Exploring Operation: 3280/40=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[41, 80, 55, 95], Operations: [] Exploring Operation: 55-41=14, Resulting Numbers: [80, 95, 14] Generated Node #0,0: 82:[80, 95, 14] Operation: 55-41=14 Exploring Operation: 95-55=40, Resulting Numbers: [41, 80, 40] Generated Node #0,1: 82:[41, 80, 40] Operation: 95-55=40 Moving to Node #0,1 Current State: 82:[41, 80, 40], Operations: ['95-55=40'] Exploring Operation: 80/40=2, Resulting Numbers: [41, 2] Generated Node #0,1,0: 82:[41, 2] Operation: 80/40=2 Exploring Operation: 80-40=40, Resulting Numbers: [41, 40] Generated Node #0,1,1: 82:[41, 40] Operation: 80-40=40 Moving to Node #0,0 Current State: 82:[80, 95, 14], Operations: ['55-41=14'] Exploring Operation: 95-80=15, Resulting Numbers: [14, 15] Generated Node #0,0,0: 82:[14, 15] Operation: 95-80=15 Exploring Operation: 95-14=81, Resulting Numbers: [80, 81] Generated Node #0,0,1: 82:[80, 81] Operation: 95-14=81 Moving to Node #0,1,0 Current State: 82:[41, 2], Operations: ['95-55=40', '80/40=2'] Exploring Operation: 412=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[41, 80, 55, 95], Operations: [] Exploring Operation: 95-55=40, Resulting Numbers: [41, 80, 40] Generated Node #0,1: 82:[41, 80, 40] Operation: 95-55=40 Moving to Node #0,1 Current State: 82:[41, 80, 40], Operations: ['95-55=40'] Exploring Operation: 80/40=2, Resulting Numbers: [41, 2] Generated Node #0,1,0: 82:[41, 2] Operation: 80/40=2 Moving to Node #0,1,0 Current State: 82:[41, 2], Operations: ['95-55=40', '80/40=2'] Exploring Operation: 412=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	0.990451	hs_2	sum_heuristic
[ 76, 37, 15, 78 ]	24	[ "76-37=39", "78-15=63", "63-39=24" ]	Current State: 24:[76, 37, 15, 78], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [15, 78, 39] Generated Node #2: [15, 78, 39] from Operation: 76-37=39 Current State: 24:[15, 78, 39], Operations: ['76-37=39'] Exploring Operation: 78-15=63, Resulting Numbers: [39, 63] Generated Node #3: [39, 63] from Operation: 78-15=63 Current State: 24:[39, 63], Operations: ['76-37=39', '78-15=63'] Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	4	Current State: 24:[76, 37, 15, 78], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [15, 78, 39] Generated Node #0,0: 24:[15, 78, 39] Operation: 76-37=39 Exploring Operation: 78-76=2, Resulting Numbers: [37, 15, 2] Generated Node #0,1: 24:[37, 15, 2] Operation: 78-76=2 Moving to Node #0,1 Current State: 24:[37, 15, 2], Operations: ['78-76=2'] Exploring Operation: 37-2=35, Resulting Numbers: [15, 35] Generated Node #0,1,0: 24:[15, 35] Operation: 37-2=35 Exploring Operation: 37-15=22, Resulting Numbers: [2, 22] Generated Node #0,1,1: 24:[2, 22] Operation: 37-15=22 Moving to Node #0,0 Current State: 24:[15, 78, 39], Operations: ['76-37=39'] Exploring Operation: 78-39=39, Resulting Numbers: [15, 39] Generated Node #0,0,0: 24:[15, 39] Operation: 78-39=39 Exploring Operation: 78/39=2, Resulting Numbers: [15, 2] Generated Node #0,0,1: 24:[15, 2] Operation: 78/39=2 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 24:[15, 2], Operations: ['76-37=39', '78/39=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,24 unequal: No Solution Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 24:[15, 39], Operations: ['76-37=39', '78-39=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,24 unequal: No Solution Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[76, 37, 15, 78], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [15, 78, 39] Generated Node #0,0: 24:[15, 78, 39] Operation: 76-37=39 Moving to Node #0,0 Current State: 24:[15, 78, 39], Operations: ['76-37=39'] Exploring Operation: 78-39=39, Resulting Numbers: [15, 39] Generated Node #0,0,0: 24:[15, 39] Operation: 78-39=39 Moving to Node #0,0,0 Current State: 24:[15, 39], Operations: ['76-37=39', '78-39=39'] Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1	0.987847	hs_2	sum_heuristic
[ 27, 30, 75, 9 ]	45	[ "27-9=18", "75*18=1350", "1350/30=45" ]	Current State: 45:[27, 30, 75, 9], Operations: [] Exploring Operation: 27-9=18, Resulting Numbers: [30, 75, 18] Generated Node #2: [30, 75, 18] from Operation: 27-9=18 Current State: 45:[30, 75, 18], Operations: ['27-9=18'] Exploring Operation: 7518=1350, Resulting Numbers: [30, 1350] Generated Node #3: [30, 1350] from Operation: 7518=1350 Current State: 45:[30, 1350], Operations: ['27-9=18', '75*18=1350'] Exploring Operation: 1350/30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached	4	Current State: 45:[27, 30, 75, 9], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [30, 75, 3] Generated Node #0,0: 45:[30, 75, 3] Operation: 27/9=3 Exploring Operation: 30-27=3, Resulting Numbers: [75, 9, 3] Generated Node #0,1: 45:[75, 9, 3] Operation: 30-27=3 Exploring Operation: 75-30=45, Resulting Numbers: [27, 9, 45] Generated Node #0,2: 45:[27, 9, 45] Operation: 75-30=45 Exploring Operation: 75-27=48, Resulting Numbers: [30, 9, 48] Generated Node #0,3: 45:[30, 9, 48] Operation: 75-27=48 Exploring Operation: 27+30=57, Resulting Numbers: [75, 9, 57] Generated Node #0,4: 45:[75, 9, 57] Operation: 27+30=57 Moving to Node #0,2 Current State: 45:[27, 9, 45], Operations: ['75-30=45'] Exploring Operation: 27/9=3, Resulting Numbers: [45, 3] Generated Node #0,2,0: 45:[45, 3] Operation: 27/9=3 Exploring Operation: 27+9=36, Resulting Numbers: [45, 36] Generated Node #0,2,1: 45:[45, 36] Operation: 27+9=36 Exploring Operation: 45/9=5, Resulting Numbers: [27, 5] Generated Node #0,2,2: 45:[27, 5] Operation: 45/9=5 Exploring Operation: 45-27=18, Resulting Numbers: [9, 18] Generated Node #0,2,3: 45:[9, 18] Operation: 45-27=18 Exploring Operation: 27-9=18, Resulting Numbers: [45, 18] Generated Node #0,2,4: 45:[45, 18] Operation: 27-9=18 Moving to Node #0,3 Current State: 45:[30, 9, 48], Operations: ['75-27=48'] Exploring Operation: 48-9=39, Resulting Numbers: [30, 39] Generated Node #0,3,0: 45:[30, 39] Operation: 48-9=39 Exploring Operation: 30-9=21, Resulting Numbers: [48, 21] Generated Node #0,3,1: 45:[48, 21] Operation: 30-9=21 Exploring Operation: 9+48=57, Resulting Numbers: [30, 57] Generated Node #0,3,2: 45:[30, 57] Operation: 9+48=57 Exploring Operation: 48-30=18, Resulting Numbers: [9, 18] Generated Node #0,3,3: 45:[9, 18] Operation: 48-30=18 Exploring Operation: 30+9=39, Resulting Numbers: [48, 39] Generated Node #0,3,4: 45:[48, 39] Operation: 30+9=39 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 45:[9, 18], Operations: ['75-27=48', '48-30=18'] Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,45 unequal: No Solution Exploring Operation: 9+18=27, Resulting Numbers: [27] 27,45 unequal: No Solution Exploring Operation: 918=162, Resulting Numbers: [162] 162,45 unequal: No Solution Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 45:[48, 21], Operations: ['75-27=48', '30-9=21'] Exploring Operation: 4821=1008, Resulting Numbers: [1008] 1008,45 unequal: No Solution Exploring Operation: 48+21=69, Resulting Numbers: [69] 69,45 unequal: No Solution Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 45:[48, 39], Operations: ['75-27=48', '30+9=39'] Exploring Operation: 48+39=87, Resulting Numbers: [87] 87,45 unequal: No Solution Exploring Operation: 4839=1872, Resulting Numbers: [1872] 1872,45 unequal: No Solution Exploring Operation: 48-39=9, Resulting Numbers: [9] 9,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 45:[30, 39], Operations: ['75-27=48', '48-9=39'] Exploring Operation: 3039=1170, Resulting Numbers: [1170] 1170,45 unequal: No Solution Exploring Operation: 39-30=9, Resulting Numbers: [9] 9,45 unequal: No Solution Exploring Operation: 30+39=69, Resulting Numbers: [69] 69,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 45:[30, 57], Operations: ['75-27=48', '9+48=57'] Exploring Operation: 30+57=87, Resulting Numbers: [87] 87,45 unequal: No Solution Exploring Operation: 3057=1710, Resulting Numbers: [1710] 1710,45 unequal: No Solution Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 45:[75, 9, 3], Operations: ['30-27=3'] Exploring Operation: 75-3=72, Resulting Numbers: [9, 72] Generated Node #0,1,0: 45:[9, 72] Operation: 75-3=72 Exploring Operation: 75/3=25, Resulting Numbers: [9, 25] Generated Node #0,1,1: 45:[9, 25] Operation: 75/3=25 Exploring Operation: 75-9=66, Resulting Numbers: [3, 66] Generated Node #0,1,2: 45:[3, 66] Operation: 75-9=66 Exploring Operation: 9-3=6, Resulting Numbers: [75, 6] Generated Node #0,1,3: 45:[75, 6] Operation: 9-3=6 Exploring Operation: 9/3=3, Resulting Numbers: [75, 3] Generated Node #0,1,4: 45:[75, 3] Operation: 9/3=3 Moving to Node #0,4 Current State: 45:[75, 9, 57], Operations: ['27+30=57'] Exploring Operation: 75-9=66, Resulting Numbers: [57, 66] Generated Node #0,4,0: 45:[57, 66] Operation: 75-9=66 Exploring Operation: 75+9=84, Resulting Numbers: [57, 84] Generated Node #0,4,1: 45:[57, 84] Operation: 75+9=84 Exploring Operation: 75-57=18, Resulting Numbers: [9, 18] Generated Node #0,4,2: 45:[9, 18] Operation: 75-57=18 Exploring Operation: 57-9=48, Resulting Numbers: [75, 48] Generated Node #0,4,3: 45:[75, 48] Operation: 57-9=48 Exploring Operation: 9+57=66, Resulting Numbers: [75, 66] Generated Node #0,4,4: 45:[75, 66] Operation: 9+57=66 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 45:[9, 18], Operations: ['27+30=57', '75-57=18'] Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,45 unequal: No Solution Exploring Operation: 918=162, Resulting Numbers: [162] 162,45 unequal: No Solution Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,45 unequal: No Solution Exploring Operation: 9+18=27, Resulting Numbers: [27] 27,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 45:[57, 66], Operations: ['27+30=57', '75-9=66'] Exploring Operation: 57+66=123, Resulting Numbers: [123] 123,45 unequal: No Solution Exploring Operation: 5766=3762, Resulting Numbers: [3762] 3762,45 unequal: No Solution Exploring Operation: 66-57=9, Resulting Numbers: [9] 9,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 45:[75, 48], Operations: ['27+30=57', '57-9=48'] Exploring Operation: 7548=3600, Resulting Numbers: [3600] 3600,45 unequal: No Solution Exploring Operation: 75-48=27, Resulting Numbers: [27] 27,45 unequal: No Solution Exploring Operation: 75+48=123, Resulting Numbers: [123] 123,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 45:[57, 84], Operations: ['27+30=57', '75+9=84'] Exploring Operation: 57+84=141, Resulting Numbers: [141] 141,45 unequal: No Solution Exploring Operation: 5784=4788, Resulting Numbers: [4788] 4788,45 unequal: No Solution Exploring Operation: 84-57=27, Resulting Numbers: [27] 27,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 45:[75, 66], Operations: ['27+30=57', '9+57=66'] Exploring Operation: 75+66=141, Resulting Numbers: [141] 141,45 unequal: No Solution Exploring Operation: 75-66=9, Resulting Numbers: [9] 9,45 unequal: No Solution Exploring Operation: 7566=4950, Resulting Numbers: [4950] 4950,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 45:[30, 75, 3], Operations: ['27/9=3'] Exploring Operation: 30/3=10, Resulting Numbers: [75, 10] Generated Node #0,0,0: 45:[75, 10] Operation: 30/3=10 Exploring Operation: 30+3=33, Resulting Numbers: [75, 33] Generated Node #0,0,1: 45:[75, 33] Operation: 30+3=33 Exploring Operation: 75/3=25, Resulting Numbers: [30, 25] Generated Node #0,0,2: 45:[30, 25] Operation: 75/3=25 Exploring Operation: 75-30=45, Resulting Numbers: [3, 45] Generated Node #0,0,3: 45:[3, 45] Operation: 75-30=45 Exploring Operation: 30-3=27, Resulting Numbers: [75, 27] Generated Node #0,0,4: 45:[75, 27] Operation: 30-3=27 Moving to Node #0,2,0 Current State: 45:[45, 3], Operations: ['75-30=45', '27/9=3'] Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,45 unequal: No Solution Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,45 unequal: No Solution Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,45 unequal: No Solution Exploring Operation: 453=135, Resulting Numbers: [135] 135,45 unequal: No Solution Moving to Node #0,0,3 Current State: 45:[3, 45], Operations: ['27/9=3', '75-30=45'] Exploring Operation: 3+45=48, Resulting Numbers: [48] 48,45 unequal: No Solution Exploring Operation: 345=135, Resulting Numbers: [135] 135,45 unequal: No Solution Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,45 unequal: No Solution Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,45 unequal: No Solution Moving to Node #0,2,4 Current State: 45:[45, 18], Operations: ['75-30=45', '27-9=18'] Exploring Operation: 45+18=63, Resulting Numbers: [63] 63,45 unequal: No Solution Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,45 unequal: No Solution Exploring Operation: 4518=810, Resulting Numbers: [810] 810,45 unequal: No Solution Moving to Node #0,2,3 Current State: 45:[9, 18], Operations: ['75-30=45', '45-27=18'] Exploring Operation: 9+18=27, Resulting Numbers: [27] 27,45 unequal: No Solution Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,45 unequal: No Solution Exploring Operation: 918=162, Resulting Numbers: [162] 162,45 unequal: No Solution Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[45, 36], Operations: ['75-30=45', '27+9=36'] Exploring Operation: 4536=1620, Resulting Numbers: [1620] 1620,45 unequal: No Solution Exploring Operation: 45+36=81, Resulting Numbers: [81] 81,45 unequal: No Solution Exploring Operation: 45-36=9, Resulting Numbers: [9] 9,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[9, 25], Operations: ['30-27=3', '75/3=25'] Exploring Operation: 9+25=34, Resulting Numbers: [34] 34,45 unequal: No Solution Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 925=225, Resulting Numbers: [225] 225,45 unequal: No Solution Moving to Node #0,2,2 Current State: 45:[27, 5], Operations: ['75-30=45', '45/9=5'] Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,45 unequal: No Solution Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,45 unequal: No Solution Exploring Operation: 275=135, Resulting Numbers: [135] 135,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[3, 66], Operations: ['30-27=3', '75-9=66'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,45 unequal: No Solution Exploring Operation: 366=198, Resulting Numbers: [198] 198,45 unequal: No Solution Exploring Operation: 3+66=69, Resulting Numbers: [69] 69,45 unequal: No Solution Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[30, 25], Operations: ['27/9=3', '75/3=25'] Exploring Operation: 30+25=55, Resulting Numbers: [55] 55,45 unequal: No Solution Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,45 unequal: No Solution Exploring Operation: 3025=750, Resulting Numbers: [750] 750,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[9, 72], Operations: ['30-27=3', '75-3=72'] Exploring Operation: 72-9=63, Resulting Numbers: [63] 63,45 unequal: No Solution Exploring Operation: 9+72=81, Resulting Numbers: [81] 81,45 unequal: No Solution Exploring Operation: 72/9=8, Resulting Numbers: [8] 8,45 unequal: No Solution Exploring Operation: 972=648, Resulting Numbers: [648] 648,45 unequal: No Solution Moving to Node #0,1,4 Current State: 45:[75, 3], Operations: ['30-27=3', '9/3=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,45 unequal: No Solution Exploring Operation: 753=225, Resulting Numbers: [225] 225,45 unequal: No Solution Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,45 unequal: No Solution Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[75, 10], Operations: ['27/9=3', '30/3=10'] Exploring Operation: 7510=750, Resulting Numbers: [750] 750,45 unequal: No Solution Exploring Operation: 75-10=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 75+10=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0,1,3 Current State: 45:[75, 6], Operations: ['30-27=3', '9-3=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,45 unequal: No Solution Exploring Operation: 756=450, Resulting Numbers: [450] 450,45 unequal: No Solution Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,45 unequal: No Solution Moving to Node #0,0,4 Current State: 45:[75, 27], Operations: ['27/9=3', '30-3=27'] Exploring Operation: 75+27=102, Resulting Numbers: [102] 102,45 unequal: No Solution Exploring Operation: 75-27=48, Resulting Numbers: [48] 48,45 unequal: No Solution Exploring Operation: 7527=2025, Resulting Numbers: [2025] 2025,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[75, 33], Operations: ['27/9=3', '30+3=33'] Exploring Operation: 75*33=2475, Resulting Numbers: [2475] 2475,45 unequal: No Solution Exploring Operation: 75-33=42, Resulting Numbers: [42] 42,45 unequal: No Solution Exploring Operation: 75+33=108, Resulting Numbers: [108] 108,45 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 82, 33, 12, 43 ]	41	[ "33+12=45", "45-43=2", "82/2=41" ]	Current State: 41:[82, 33, 12, 43], Operations: [] Exploring Operation: 33+12=45, Resulting Numbers: [82, 43, 45] Generated Node #2: [82, 43, 45] from Operation: 33+12=45 Current State: 41:[82, 43, 45], Operations: ['33+12=45'] Exploring Operation: 45-43=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 45-43=2 Current State: 41:[82, 2], Operations: ['33+12=45', '45-43=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached	4	Current State: 41:[82, 33, 12, 43], Operations: [] Exploring Operation: 43-12=31, Resulting Numbers: [82, 33, 31] Generated Node #0,0: 41:[82, 33, 31] Operation: 43-12=31 Exploring Operation: 82-12=70, Resulting Numbers: [33, 43, 70] Generated Node #0,1: 41:[33, 43, 70] Operation: 82-12=70 Exploring Operation: 82-43=39, Resulting Numbers: [33, 12, 39] Generated Node #0,2: 41:[33, 12, 39] Operation: 82-43=39 Exploring Operation: 82-33=49, Resulting Numbers: [12, 43, 49] Generated Node #0,3: 41:[12, 43, 49] Operation: 82-33=49 Exploring Operation: 33+12=45, Resulting Numbers: [82, 43, 45] Generated Node #0,4: 41:[82, 43, 45] Operation: 33+12=45 Moving to Node #0,1 Current State: 41:[33, 43, 70], Operations: ['82-12=70'] Exploring Operation: 70-33=37, Resulting Numbers: [43, 37] Generated Node #0,1,0: 41:[43, 37] Operation: 70-33=37 Exploring Operation: 33+70=103, Resulting Numbers: [43, 103] Generated Node #0,1,1: 41:[43, 103] Operation: 33+70=103 Exploring Operation: 70-43=27, Resulting Numbers: [33, 27] Generated Node #0,1,2: 41:[33, 27] Operation: 70-43=27 Exploring Operation: 43-33=10, Resulting Numbers: [70, 10] Generated Node #0,1,3: 41:[70, 10] Operation: 43-33=10 Exploring Operation: 33+43=76, Resulting Numbers: [70, 76] Generated Node #0,1,4: 41:[70, 76] Operation: 33+43=76 Moving to Node #0,3 Current State: 41:[12, 43, 49], Operations: ['82-33=49'] Exploring Operation: 12+49=61, Resulting Numbers: [43, 61] Generated Node #0,3,0: 41:[43, 61] Operation: 12+49=61 Exploring Operation: 43-12=31, Resulting Numbers: [49, 31] Generated Node #0,3,1: 41:[49, 31] Operation: 43-12=31 Exploring Operation: 49-43=6, Resulting Numbers: [12, 6] Generated Node #0,3,2: 41:[12, 6] Operation: 49-43=6 Exploring Operation: 12+43=55, Resulting Numbers: [49, 55] Generated Node #0,3,3: 41:[49, 55] Operation: 12+43=55 Exploring Operation: 49-12=37, Resulting Numbers: [43, 37] Generated Node #0,3,4: 41:[43, 37] Operation: 49-12=37 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 41:[43, 37], Operations: ['82-33=49', '49-12=37'] Exploring Operation: 4337=1591, Resulting Numbers: [1591] 1591,41 unequal: No Solution Exploring Operation: 43-37=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 43+37=80, Resulting Numbers: [80] 80,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 41:[49, 31], Operations: ['82-33=49', '43-12=31'] Exploring Operation: 49+31=80, Resulting Numbers: [80] 80,41 unequal: No Solution Exploring Operation: 4931=1519, Resulting Numbers: [1519] 1519,41 unequal: No Solution Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 41:[43, 61], Operations: ['82-33=49', '12+49=61'] Exploring Operation: 43+61=104, Resulting Numbers: [104] 104,41 unequal: No Solution Exploring Operation: 61-43=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 4361=2623, Resulting Numbers: [2623] 2623,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 41:[49, 55], Operations: ['82-33=49', '12+43=55'] Exploring Operation: 4955=2695, Resulting Numbers: [2695] 2695,41 unequal: No Solution Exploring Operation: 49+55=104, Resulting Numbers: [104] 104,41 unequal: No Solution Exploring Operation: 55-49=6, Resulting Numbers: [6] 6,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 41:[12, 6], Operations: ['82-33=49', '49-43=6'] Exploring Operation: 12/6=2, Resulting Numbers: [2] 2,41 unequal: No Solution Exploring Operation: 12+6=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 12-6=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 126=72, Resulting Numbers: [72] 72,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 41:[33, 12, 39], Operations: ['82-43=39'] Exploring Operation: 12+39=51, Resulting Numbers: [33, 51] Generated Node #0,2,0: 41:[33, 51] Operation: 12+39=51 Exploring Operation: 39-12=27, Resulting Numbers: [33, 27] Generated Node #0,2,1: 41:[33, 27] Operation: 39-12=27 Exploring Operation: 33-12=21, Resulting Numbers: [39, 21] Generated Node #0,2,2: 41:[39, 21] Operation: 33-12=21 Exploring Operation: 33+12=45, Resulting Numbers: [39, 45] Generated Node #0,2,3: 41:[39, 45] Operation: 33+12=45 Exploring Operation: 33+39=72, Resulting Numbers: [12, 72] Generated Node #0,2,4: 41:[12, 72] Operation: 33+39=72 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 41:[39, 45], Operations: ['82-43=39', '33+12=45'] Exploring Operation: 45-39=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 39+45=84, Resulting Numbers: [84] 84,41 unequal: No Solution Exploring Operation: 3945=1755, Resulting Numbers: [1755] 1755,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 41:[33, 51], Operations: ['82-43=39', '12+39=51'] Exploring Operation: 33+51=84, Resulting Numbers: [84] 84,41 unequal: No Solution Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 3351=1683, Resulting Numbers: [1683] 1683,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 41:[33, 27], Operations: ['82-43=39', '39-12=27'] Exploring Operation: 3327=891, Resulting Numbers: [891] 891,41 unequal: No Solution Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,41 unequal: No Solution Exploring Operation: 33-27=6, Resulting Numbers: [6] 6,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 41:[39, 21], Operations: ['82-43=39', '33-12=21'] Exploring Operation: 39+21=60, Resulting Numbers: [60] 60,41 unequal: No Solution Exploring Operation: 3921=819, Resulting Numbers: [819] 819,41 unequal: No Solution Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 41:[12, 72], Operations: ['82-43=39', '33+39=72'] Exploring Operation: 12+72=84, Resulting Numbers: [84] 84,41 unequal: No Solution Exploring Operation: 1272=864, Resulting Numbers: [864] 864,41 unequal: No Solution Exploring Operation: 72/12=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 72-12=60, Resulting Numbers: [60] 60,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 41:[82, 43, 45], Operations: ['33+12=45'] Exploring Operation: 82-45=37, Resulting Numbers: [43, 37] Generated Node #0,4,0: 41:[43, 37] Operation: 82-45=37 Exploring Operation: 82-43=39, Resulting Numbers: [45, 39] Generated Node #0,4,1: 41:[45, 39] Operation: 82-43=39 Exploring Operation: 45-43=2, Resulting Numbers: [82, 2] Generated Node #0,4,2: 41:[82, 2] Operation: 45-43=2 Exploring Operation: 82+43=125, Resulting Numbers: [45, 125] Generated Node #0,4,3: 41:[45, 125] Operation: 82+43=125 Exploring Operation: 82+45=127, Resulting Numbers: [43, 127] Generated Node #0,4,4: 41:[43, 127] Operation: 82+45=127 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 41:[43, 37], Operations: ['33+12=45', '82-45=37'] Exploring Operation: 4337=1591, Resulting Numbers: [1591] 1591,41 unequal: No Solution Exploring Operation: 43+37=80, Resulting Numbers: [80] 80,41 unequal: No Solution Exploring Operation: 43-37=6, Resulting Numbers: [6] 6,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 41:[45, 39], Operations: ['33+12=45', '82-43=39'] Exploring Operation: 4539=1755, Resulting Numbers: [1755] 1755,41 unequal: No Solution Exploring Operation: 45+39=84, Resulting Numbers: [84] 84,41 unequal: No Solution Exploring Operation: 45-39=6, Resulting Numbers: [6] 6,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 41:[82, 2], Operations: ['33+12=45', '45-43=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[82, 33, 12, 43], Operations: [] Exploring Operation: 33+12=45, Resulting Numbers: [82, 43, 45] Generated Node #0,4: 41:[82, 43, 45] Operation: 33+12=45 Moving to Node #0,4 Current State: 41:[82, 43, 45], Operations: ['33+12=45'] Exploring Operation: 45-43=2, Resulting Numbers: [82, 2] Generated Node #0,4,2: 41:[82, 2] Operation: 45-43=2 Moving to Node #0,4,2 Current State: 41:[82, 2], Operations: ['33+12=45', '45-43=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 1	0.940972	hs_5	mult_heuristic
[ 82, 16, 7, 76 ]	17	[ "82-16=66", "7+76=83", "83-66=17" ]	Current State: 17:[82, 16, 7, 76], Operations: [] Exploring Operation: 82-16=66, Resulting Numbers: [7, 76, 66] Generated Node #2: [7, 76, 66] from Operation: 82-16=66 Current State: 17:[7, 76, 66], Operations: ['82-16=66'] Exploring Operation: 7+76=83, Resulting Numbers: [66, 83] Generated Node #3: [66, 83] from Operation: 7+76=83 Current State: 17:[66, 83], Operations: ['82-16=66', '7+76=83'] Exploring Operation: 83-66=17, Resulting Numbers: [17] 17,17 equal: Goal Reached	4	Current State: 17:[82, 16, 7, 76], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [16, 7, 6] Generated Node #0,0: 17:[16, 7, 6] Operation: 82-76=6 Exploring Operation: 82-7=75, Resulting Numbers: [16, 76, 75] Generated Node #0,1: 17:[16, 76, 75] Operation: 82-7=75 Exploring Operation: 76-7=69, Resulting Numbers: [82, 16, 69] Generated Node #0,2: 17:[82, 16, 69] Operation: 76-7=69 Exploring Operation: 82-16=66, Resulting Numbers: [7, 76, 66] Generated Node #0,3: 17:[7, 76, 66] Operation: 82-16=66 Exploring Operation: 76-16=60, Resulting Numbers: [82, 7, 60] Generated Node #0,4: 17:[82, 7, 60] Operation: 76-16=60 Moving to Node #0,0 Current State: 17:[16, 7, 6], Operations: ['82-76=6'] Exploring Operation: 16+6=22, Resulting Numbers: [7, 22] Generated Node #0,0,0: 17:[7, 22] Operation: 16+6=22 Exploring Operation: 7-6=1, Resulting Numbers: [16, 1] Generated Node #0,0,1: 17:[16, 1] Operation: 7-6=1 Exploring Operation: 7+6=13, Resulting Numbers: [16, 13] Generated Node #0,0,2: 17:[16, 13] Operation: 7+6=13 Exploring Operation: 16-6=10, Resulting Numbers: [7, 10] Generated Node #0,0,3: 17:[7, 10] Operation: 16-6=10 Exploring Operation: 16+7=23, Resulting Numbers: [6, 23] Generated Node #0,0,4: 17:[6, 23] Operation: 16+7=23 Moving to Node #0,2 Current State: 17:[82, 16, 69], Operations: ['76-7=69'] Exploring Operation: 82-69=13, Resulting Numbers: [16, 13] Generated Node #0,2,0: 17:[16, 13] Operation: 82-69=13 Exploring Operation: 16+69=85, Resulting Numbers: [82, 85] Generated Node #0,2,1: 17:[82, 85] Operation: 16+69=85 Exploring Operation: 69-16=53, Resulting Numbers: [82, 53] Generated Node #0,2,2: 17:[82, 53] Operation: 69-16=53 Exploring Operation: 82+16=98, Resulting Numbers: [69, 98] Generated Node #0,2,3: 17:[69, 98] Operation: 82+16=98 Exploring Operation: 82-16=66, Resulting Numbers: [69, 66] Generated Node #0,2,4: 17:[69, 66] Operation: 82-16=66 Moving to Node #0,4 Current State: 17:[82, 7, 60], Operations: ['76-16=60'] Exploring Operation: 82-60=22, Resulting Numbers: [7, 22] Generated Node #0,4,0: 17:[7, 22] Operation: 82-60=22 Exploring Operation: 82+7=89, Resulting Numbers: [60, 89] Generated Node #0,4,1: 17:[60, 89] Operation: 82+7=89 Exploring Operation: 7+60=67, Resulting Numbers: [82, 67] Generated Node #0,4,2: 17:[82, 67] Operation: 7+60=67 Exploring Operation: 82-7=75, Resulting Numbers: [60, 75] Generated Node #0,4,3: 17:[60, 75] Operation: 82-7=75 Exploring Operation: 60-7=53, Resulting Numbers: [82, 53] Generated Node #0,4,4: 17:[82, 53] Operation: 60-7=53 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 17:[7, 22], Operations: ['76-16=60', '82-60=22'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 7+22=29, Resulting Numbers: [29] 29,17 unequal: No Solution Exploring Operation: 722=154, Resulting Numbers: [154] 154,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 17:[60, 75], Operations: ['76-16=60', '82-7=75'] Exploring Operation: 75-60=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 60+75=135, Resulting Numbers: [135] 135,17 unequal: No Solution Exploring Operation: 6075=4500, Resulting Numbers: [4500] 4500,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 17:[82, 53], Operations: ['76-16=60', '60-7=53'] Exploring Operation: 82+53=135, Resulting Numbers: [135] 135,17 unequal: No Solution Exploring Operation: 8253=4346, Resulting Numbers: [4346] 4346,17 unequal: No Solution Exploring Operation: 82-53=29, Resulting Numbers: [29] 29,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 17:[60, 89], Operations: ['76-16=60', '82+7=89'] Exploring Operation: 6089=5340, Resulting Numbers: [5340] 5340,17 unequal: No Solution Exploring Operation: 89-60=29, Resulting Numbers: [29] 29,17 unequal: No Solution Exploring Operation: 60+89=149, Resulting Numbers: [149] 149,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 17:[82, 67], Operations: ['76-16=60', '7+60=67'] Exploring Operation: 82-67=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 82+67=149, Resulting Numbers: [149] 149,17 unequal: No Solution Exploring Operation: 82*67=5494, Resulting Numbers: [5494] 5494,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 17:[16, 76, 75], Operations: ['82-7=75'] Exploring Operation: 76-75=1, Resulting Numbers: [16, 1] Generated Node #0,1,0: 17:[16, 1] Operation: 76-75=1 Exploring Operation: 76-16=60, Resulting Numbers: [75, 60] Generated Node #0,1,1: 17:[75, 60] Operation: 76-16=60 Exploring Operation: 16+76=92, Resulting Numbers: [75, 92] Generated Node #0,1,2: 17:[75, 92] Operation: 16+76=92 Exploring Operation: 16+75=91, Resulting Numbers: [76, 91] Generated Node #0,1,3: 17:[76, 91] Operation: 16+75=91 Exploring Operation: 75-16=59, Resulting Numbers: [76, 59] Generated Node #0,1,4: 17:[76, 59] Operation: 75-16=59 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 17:[16, 1], Operations: ['82-7=75', '76-75=1'] Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,17 unequal: No Solution Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[82, 16, 7, 76], Operations: [] Exploring Operation: 82-7=75, Resulting Numbers: [16, 76, 75] Generated Node #0,1: 17:[16, 76, 75] Operation: 82-7=75 Moving to Node #0,1 Current State: 17:[16, 76, 75], Operations: ['82-7=75'] Exploring Operation: 76-75=1, Resulting Numbers: [16, 1] Generated Node #0,1,0: 17:[16, 1] Operation: 76-75=1 Moving to Node #0,1,0 Current State: 17:[16, 1], Operations: ['82-7=75', '76-75=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 1	0.959201	hs_5	sum_heuristic
[ 90, 3, 12, 93 ]	39	[ "93-90=3", "3*12=36", "3+36=39" ]	Current State: 39:[90, 3, 12, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [3, 12, 3] Generated Node #2: [3, 12, 3] from Operation: 93-90=3 Current State: 39:[3, 12, 3], Operations: ['93-90=3'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,39 equal: Goal Reached Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached	4	Current State: 39:[90, 3, 12, 93], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [90, 12, 31] Generated Node #0,0: 39:[90, 12, 31] Operation: 93/3=31 Exploring Operation: 90/3=30, Resulting Numbers: [12, 93, 30] Generated Node #0,1: 39:[12, 93, 30] Operation: 90/3=30 Exploring Operation: 93-90=3, Resulting Numbers: [3, 12, 3] Generated Node #0,2: 39:[3, 12, 3] Operation: 93-90=3 Moving to Node #0,2 Current State: 39:[3, 12, 3], Operations: ['93-90=3'] Exploring Operation: 12/3=4, Resulting Numbers: [3, 4] Generated Node #0,2,0: 39:[3, 4] Operation: 12/3=4 Exploring Operation: 3+12=15, Resulting Numbers: [3, 15] Generated Node #0,2,1: 39:[3, 15] Operation: 3+12=15 Exploring Operation: 12/3=4, Resulting Numbers: [3, 4] Generated Node #0,2,2: 39:[3, 4] Operation: 12/3=4 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 39:[3, 4], Operations: ['93-90=3', '12/3=4'] Exploring Operation: 34=12, Resulting Numbers: [12] 12,39 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 39:[3, 4], Operations: ['93-90=3', '12/3=4'] Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,39 unequal: No Solution Exploring Operation: 34=12, Resulting Numbers: [12] 12,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 39:[3, 15], Operations: ['93-90=3', '3+12=15'] Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,39 unequal: No Solution Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,39 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 39:[90, 12, 31], Operations: ['93/3=31'] Exploring Operation: 90-31=59, Resulting Numbers: [12, 59] Generated Node #0,0,0: 39:[12, 59] Operation: 90-31=59 Exploring Operation: 12+31=43, Resulting Numbers: [90, 43] Generated Node #0,0,1: 39:[90, 43] Operation: 12+31=43 Exploring Operation: 90-12=78, Resulting Numbers: [31, 78] Generated Node #0,0,2: 39:[31, 78] Operation: 90-12=78 Moving to Node #0,1 Current State: 39:[12, 93, 30], Operations: ['90/3=30'] Exploring Operation: 93-12=81, Resulting Numbers: [30, 81] Generated Node #0,1,0: 39:[30, 81] Operation: 93-12=81 Exploring Operation: 93-30=63, Resulting Numbers: [12, 63] Generated Node #0,1,1: 39:[12, 63] Operation: 93-30=63 Exploring Operation: 12+30=42, Resulting Numbers: [93, 42] Generated Node #0,1,2: 39:[93, 42] Operation: 12+30=42 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 39:[12, 63], Operations: ['90/3=30', '93-30=63'] Exploring Operation: 1263=756, Resulting Numbers: [756] 756,39 unequal: No Solution Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,39 unequal: No Solution Exploring Operation: 12+63=75, Resulting Numbers: [75] 75,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[30, 81], Operations: ['90/3=30', '93-12=81'] Exploring Operation: 3081=2430, Resulting Numbers: [2430] 2430,39 unequal: No Solution Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,39 unequal: No Solution Exploring Operation: 30+81=111, Resulting Numbers: [111] 111,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 39:[93, 42], Operations: ['90/3=30', '12+30=42'] Exploring Operation: 93+42=135, Resulting Numbers: [135] 135,39 unequal: No Solution Exploring Operation: 93-42=51, Resulting Numbers: [51] 51,39 unequal: No Solution Exploring Operation: 9342=3906, Resulting Numbers: [3906] 3906,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 39:[12, 59], Operations: ['93/3=31', '90-31=59'] Exploring Operation: 59-12=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 12+59=71, Resulting Numbers: [71] 71,39 unequal: No Solution Exploring Operation: 1259=708, Resulting Numbers: [708] 708,39 unequal: No Solution Moving to Node #0,0,2 Current State: 39:[31, 78], Operations: ['93/3=31', '90-12=78'] Exploring Operation: 31+78=109, Resulting Numbers: [109] 109,39 unequal: No Solution Exploring Operation: 78-31=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 3178=2418, Resulting Numbers: [2418] 2418,39 unequal: No Solution Moving to Node #0,0,1 Current State: 39:[90, 43], Operations: ['93/3=31', '12+31=43'] Exploring Operation: 90+43=133, Resulting Numbers: [133] 133,39 unequal: No Solution Exploring Operation: 9043=3870, Resulting Numbers: [3870] 3870,39 unequal: No Solution Exploring Operation: 90-43=47, Resulting Numbers: [47] 47,39 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 71, 39, 13, 4 ]	72	[ "71+13=84", "39*4=156", "156-84=72" ]	Current State: 72:[71, 39, 13, 4], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [39, 4, 84] Generated Node #2: [39, 4, 84] from Operation: 71+13=84 Current State: 72:[39, 4, 84], Operations: ['71+13=84'] Exploring Operation: 394=156, Resulting Numbers: [84, 156] Generated Node #3: [84, 156] from Operation: 394=156 Current State: 72:[84, 156], Operations: ['71+13=84', '39*4=156'] Exploring Operation: 156-84=72, Resulting Numbers: [72] 72,72 equal: Goal Reached	4	Current State: 72:[71, 39, 13, 4], Operations: [] Exploring Operation: 39-4=35, Resulting Numbers: [71, 13, 35] Generated Node #0,0: 72:[71, 13, 35] Operation: 39-4=35 Exploring Operation: 39-13=26, Resulting Numbers: [71, 4, 26] Generated Node #0,1: 72:[71, 4, 26] Operation: 39-13=26 Exploring Operation: 13-4=9, Resulting Numbers: [71, 39, 9] Generated Node #0,2: 72:[71, 39, 9] Operation: 13-4=9 Exploring Operation: 39/13=3, Resulting Numbers: [71, 4, 3] Generated Node #0,3: 72:[71, 4, 3] Operation: 39/13=3 Moving to Node #0,3 Current State: 72:[71, 4, 3], Operations: ['39/13=3'] Exploring Operation: 43=12, Resulting Numbers: [71, 12] Generated Node #0,3,0: 72:[71, 12] Operation: 43=12 Exploring Operation: 71+3=74, Resulting Numbers: [4, 74] Generated Node #0,3,1: 72:[4, 74] Operation: 71+3=74 Exploring Operation: 4+3=7, Resulting Numbers: [71, 7] Generated Node #0,3,2: 72:[71, 7] Operation: 4+3=7 Exploring Operation: 4-3=1, Resulting Numbers: [71, 1] Generated Node #0,3,3: 72:[71, 1] Operation: 4-3=1 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 72:[71, 12], Operations: ['39/13=3', '43=12'] Exploring Operation: 7112=852, Resulting Numbers: [852] 852,72 unequal: No Solution Exploring Operation: 71+12=83, Resulting Numbers: [83] 83,72 unequal: No Solution Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 72:[4, 74], Operations: ['39/13=3', '71+3=74'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,72 unequal: No Solution Exploring Operation: 4+74=78, Resulting Numbers: [78] 78,72 unequal: No Solution Exploring Operation: 474=296, Resulting Numbers: [296] 296,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 72:[71, 7], Operations: ['39/13=3', '4+3=7'] Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,72 unequal: No Solution Exploring Operation: 71-7=64, Resulting Numbers: [64] 64,72 unequal: No Solution Exploring Operation: 717=497, Resulting Numbers: [497] 497,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 72:[71, 1], Operations: ['39/13=3', '4-3=1'] Exploring Operation: 71/1=71, Resulting Numbers: [71] 71,72 unequal: No Solution Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,72 unequal: No Solution Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[71, 39, 13, 4], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [71, 4, 3] Generated Node #0,3: 72:[71, 4, 3] Operation: 39/13=3 Moving to Node #0,3 Current State: 72:[71, 4, 3], Operations: ['39/13=3'] Exploring Operation: 4-3=1, Resulting Numbers: [71, 1] Generated Node #0,3,3: 72:[71, 1] Operation: 4-3=1 Moving to Node #0,3,3 Current State: 72:[71, 1], Operations: ['39/13=3', '4-3=1'] Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1	0.979167	hs_4	sum_heuristic
[ 96, 26, 50, 67 ]	63	[ "50-26=24", "96/24=4", "67-4=63" ]	Current State: 63:[96, 26, 50, 67], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [96, 67, 24] Generated Node #2: [96, 67, 24] from Operation: 50-26=24 Current State: 63:[96, 67, 24], Operations: ['50-26=24'] Exploring Operation: 96/24=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 96/24=4 Current State: 63:[67, 4], Operations: ['50-26=24', '96/24=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached	4	Current State: 63:[96, 26, 50, 67], Operations: [] Exploring Operation: 96-26=70, Resulting Numbers: [50, 67, 70] Generated Node #0,0: 63:[50, 67, 70] Operation: 96-26=70 Moving to Node #0,0 Current State: 63:[50, 67, 70], Operations: ['96-26=70'] Exploring Operation: 70-50=20, Resulting Numbers: [67, 20] Generated Node #0,0,0: 63:[67, 20] Operation: 70-50=20 Moving to Node #0,0,0 Current State: 63:[67, 20], Operations: ['96-26=70', '70-50=20'] Exploring Operation: 67-20=47, Resulting Numbers: [47] 47,63 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 39, 83, 11, 62 ]	66	[ "83-39=44", "44/11=4", "62+4=66" ]	Current State: 66:[39, 83, 11, 62], Operations: [] Exploring Operation: 83-39=44, Resulting Numbers: [11, 62, 44] Generated Node #2: [11, 62, 44] from Operation: 83-39=44 Current State: 66:[11, 62, 44], Operations: ['83-39=44'] Exploring Operation: 44/11=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 44/11=4 Current State: 66:[62, 4], Operations: ['83-39=44', '44/11=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached	4	Current State: 66:[39, 83, 11, 62], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [39, 11, 21] Generated Node #0,0: 66:[39, 11, 21] Operation: 83-62=21 Exploring Operation: 83-11=72, Resulting Numbers: [39, 62, 72] Generated Node #0,1: 66:[39, 62, 72] Operation: 83-11=72 Exploring Operation: 62-39=23, Resulting Numbers: [83, 11, 23] Generated Node #0,2: 66:[83, 11, 23] Operation: 62-39=23 Exploring Operation: 83-39=44, Resulting Numbers: [11, 62, 44] Generated Node #0,3: 66:[11, 62, 44] Operation: 83-39=44 Moving to Node #0,0 Current State: 66:[39, 11, 21], Operations: ['83-62=21'] Exploring Operation: 11+21=32, Resulting Numbers: [39, 32] Generated Node #0,0,0: 66:[39, 32] Operation: 11+21=32 Exploring Operation: 39+21=60, Resulting Numbers: [11, 60] Generated Node #0,0,1: 66:[11, 60] Operation: 39+21=60 Exploring Operation: 39-11=28, Resulting Numbers: [21, 28] Generated Node #0,0,2: 66:[21, 28] Operation: 39-11=28 Exploring Operation: 39-21=18, Resulting Numbers: [11, 18] Generated Node #0,0,3: 66:[11, 18] Operation: 39-21=18 Moving to Node #0,3 Current State: 66:[11, 62, 44], Operations: ['83-39=44'] Exploring Operation: 44-11=33, Resulting Numbers: [62, 33] Generated Node #0,3,0: 66:[62, 33] Operation: 44-11=33 Exploring Operation: 62-44=18, Resulting Numbers: [11, 18] Generated Node #0,3,1: 66:[11, 18] Operation: 62-44=18 Exploring Operation: 11+44=55, Resulting Numbers: [62, 55] Generated Node #0,3,2: 66:[62, 55] Operation: 11+44=55 Exploring Operation: 44/11=4, Resulting Numbers: [62, 4] Generated Node #0,3,3: 66:[62, 4] Operation: 44/11=4 Moving to Node #0,1 Current State: 66:[39, 62, 72], Operations: ['83-11=72'] Exploring Operation: 72-62=10, Resulting Numbers: [39, 10] Generated Node #0,1,0: 66:[39, 10] Operation: 72-62=10 Exploring Operation: 72-39=33, Resulting Numbers: [62, 33] Generated Node #0,1,1: 66:[62, 33] Operation: 72-39=33 Exploring Operation: 62-39=23, Resulting Numbers: [72, 23] Generated Node #0,1,2: 66:[72, 23] Operation: 62-39=23 Exploring Operation: 39+62=101, Resulting Numbers: [72, 101] Generated Node #0,1,3: 66:[72, 101] Operation: 39+62=101 Moving to Node #0,2 Current State: 66:[83, 11, 23], Operations: ['62-39=23'] Exploring Operation: 23-11=12, Resulting Numbers: [83, 12] Generated Node #0,2,0: 66:[83, 12] Operation: 23-11=12 Exploring Operation: 83-11=72, Resulting Numbers: [23, 72] Generated Node #0,2,1: 66:[23, 72] Operation: 83-11=72 Exploring Operation: 83-23=60, Resulting Numbers: [11, 60] Generated Node #0,2,2: 66:[11, 60] Operation: 83-23=60 Exploring Operation: 11+23=34, Resulting Numbers: [83, 34] Generated Node #0,2,3: 66:[83, 34] Operation: 11+23=34 Moving to Node #0,0,3 Current State: 66:[11, 18], Operations: ['83-62=21', '39-21=18'] Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,66 unequal: No Solution Exploring Operation: 1118=198, Resulting Numbers: [198] 198,66 unequal: No Solution Exploring Operation: 11+18=29, Resulting Numbers: [29] 29,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[11, 18], Operations: ['83-39=44', '62-44=18'] Exploring Operation: 11+18=29, Resulting Numbers: [29] 29,66 unequal: No Solution Exploring Operation: 1118=198, Resulting Numbers: [198] 198,66 unequal: No Solution Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,66 unequal: No Solution Moving to Node #0,3,0 Current State: 66:[62, 33], Operations: ['83-39=44', '44-11=33'] Exploring Operation: 62+33=95, Resulting Numbers: [95] 95,66 unequal: No Solution Exploring Operation: 62-33=29, Resulting Numbers: [29] 29,66 unequal: No Solution Exploring Operation: 6233=2046, Resulting Numbers: [2046] 2046,66 unequal: No Solution Moving to Node #0,1,1 Current State: 66:[62, 33], Operations: ['83-11=72', '72-39=33'] Exploring Operation: 62-33=29, Resulting Numbers: [29] 29,66 unequal: No Solution Exploring Operation: 62+33=95, Resulting Numbers: [95] 95,66 unequal: No Solution Exploring Operation: 6233=2046, Resulting Numbers: [2046] 2046,66 unequal: No Solution Moving to Node #0,3,3 Current State: 66:[62, 4], Operations: ['83-39=44', '44/11=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[39, 83, 11, 62], Operations: [] Exploring Operation: 83-39=44, Resulting Numbers: [11, 62, 44] Generated Node #0,3: 66:[11, 62, 44] Operation: 83-39=44 Moving to Node #0,3 Current State: 66:[11, 62, 44], Operations: ['83-39=44'] Exploring Operation: 44/11=4, Resulting Numbers: [62, 4] Generated Node #0,3,3: 66:[62, 4] Operation: 44/11=4 Moving to Node #0,3,3 Current State: 66:[62, 4], Operations: ['83-39=44', '44/11=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached	0.967882	hs_4	mult_heuristic
[ 50, 98, 29, 4 ]	68	[ "98-50=48", "29*4=116", "116-48=68" ]	Current State: 68:[50, 98, 29, 4], Operations: [] Exploring Operation: 98-50=48, Resulting Numbers: [29, 4, 48] Generated Node #2: [29, 4, 48] from Operation: 98-50=48 Current State: 68:[29, 4, 48], Operations: ['98-50=48'] Exploring Operation: 294=116, Resulting Numbers: [48, 116] Generated Node #3: [48, 116] from Operation: 294=116 Current State: 68:[48, 116], Operations: ['98-50=48', '29*4=116'] Exploring Operation: 116-48=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	4	Current State: 68:[50, 98, 29, 4], Operations: [] Exploring Operation: 98-50=48, Resulting Numbers: [29, 4, 48] Generated Node #0,0: 68:[29, 4, 48] Operation: 98-50=48 Exploring Operation: 98-29=69, Resulting Numbers: [50, 4, 69] Generated Node #0,1: 68:[50, 4, 69] Operation: 98-29=69 Exploring Operation: 50-29=21, Resulting Numbers: [98, 4, 21] Generated Node #0,2: 68:[98, 4, 21] Operation: 50-29=21 Exploring Operation: 50+29=79, Resulting Numbers: [98, 4, 79] Generated Node #0,3: 68:[98, 4, 79] Operation: 50+29=79 Moving to Node #0,1 Current State: 68:[50, 4, 69], Operations: ['98-29=69'] Exploring Operation: 69-4=65, Resulting Numbers: [50, 65] Generated Node #0,1,0: 68:[50, 65] Operation: 69-4=65 Exploring Operation: 50-4=46, Resulting Numbers: [69, 46] Generated Node #0,1,1: 68:[69, 46] Operation: 50-4=46 Exploring Operation: 69-50=19, Resulting Numbers: [4, 19] Generated Node #0,1,2: 68:[4, 19] Operation: 69-50=19 Exploring Operation: 50+4=54, Resulting Numbers: [69, 54] Generated Node #0,1,3: 68:[69, 54] Operation: 50+4=54 Moving to Node #0,0 Current State: 68:[29, 4, 48], Operations: ['98-50=48'] Exploring Operation: 48/4=12, Resulting Numbers: [29, 12] Generated Node #0,0,0: 68:[29, 12] Operation: 48/4=12 Exploring Operation: 29+4=33, Resulting Numbers: [48, 33] Generated Node #0,0,1: 68:[48, 33] Operation: 29+4=33 Exploring Operation: 29+48=77, Resulting Numbers: [4, 77] Generated Node #0,0,2: 68:[4, 77] Operation: 29+48=77 Exploring Operation: 48-29=19, Resulting Numbers: [4, 19] Generated Node #0,0,3: 68:[4, 19] Operation: 48-29=19 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 68:[4, 19], Operations: ['98-50=48', '48-29=19'] Exploring Operation: 4+19=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,68 unequal: No Solution Exploring Operation: 419=76, Resulting Numbers: [76] 76,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 68:[4, 77], Operations: ['98-50=48', '29+48=77'] Exploring Operation: 477=308, Resulting Numbers: [308] 308,68 unequal: No Solution Exploring Operation: 4+77=81, Resulting Numbers: [81] 81,68 unequal: No Solution Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 68:[29, 12], Operations: ['98-50=48', '48/4=12'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,68 unequal: No Solution Exploring Operation: 2912=348, Resulting Numbers: [348] 348,68 unequal: No Solution Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 68:[48, 33], Operations: ['98-50=48', '29+4=33'] Exploring Operation: 48-33=15, Resulting Numbers: [15] 15,68 unequal: No Solution Exploring Operation: 48+33=81, Resulting Numbers: [81] 81,68 unequal: No Solution Exploring Operation: 4833=1584, Resulting Numbers: [1584] 1584,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 68:[98, 4, 21], Operations: ['50-29=21'] Exploring Operation: 98-21=77, Resulting Numbers: [4, 77] Generated Node #0,2,0: 68:[4, 77] Operation: 98-21=77 Exploring Operation: 98+4=102, Resulting Numbers: [21, 102] Generated Node #0,2,1: 68:[21, 102] Operation: 98+4=102 Exploring Operation: 21-4=17, Resulting Numbers: [98, 17] Generated Node #0,2,2: 68:[98, 17] Operation: 21-4=17 Exploring Operation: 98-4=94, Resulting Numbers: [21, 94] Generated Node #0,2,3: 68:[21, 94] Operation: 98-4=94 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 68:[4, 77], Operations: ['50-29=21', '98-21=77'] Exploring Operation: 4+77=81, Resulting Numbers: [81] 81,68 unequal: No Solution Exploring Operation: 477=308, Resulting Numbers: [308] 308,68 unequal: No Solution Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 68:[98, 17], Operations: ['50-29=21', '21-4=17'] Exploring Operation: 98+17=115, Resulting Numbers: [115] 115,68 unequal: No Solution Exploring Operation: 98-17=81, Resulting Numbers: [81] 81,68 unequal: No Solution Exploring Operation: 9817=1666, Resulting Numbers: [1666] 1666,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 68:[21, 94], Operations: ['50-29=21', '98-4=94'] Exploring Operation: 2194=1974, Resulting Numbers: [1974] 1974,68 unequal: No Solution Exploring Operation: 21+94=115, Resulting Numbers: [115] 115,68 unequal: No Solution Exploring Operation: 94-21=73, Resulting Numbers: [73] 73,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 68:[21, 102], Operations: ['50-29=21', '98+4=102'] Exploring Operation: 21+102=123, Resulting Numbers: [123] 123,68 unequal: No Solution Exploring Operation: 21102=2142, Resulting Numbers: [2142] 2142,68 unequal: No Solution Exploring Operation: 102-21=81, Resulting Numbers: [81] 81,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 68:[98, 4, 79], Operations: ['50+29=79'] Exploring Operation: 98+4=102, Resulting Numbers: [79, 102] Generated Node #0,3,0: 68:[79, 102] Operation: 98+4=102 Exploring Operation: 98-79=19, Resulting Numbers: [4, 19] Generated Node #0,3,1: 68:[4, 19] Operation: 98-79=19 Exploring Operation: 79-4=75, Resulting Numbers: [98, 75] Generated Node #0,3,2: 68:[98, 75] Operation: 79-4=75 Exploring Operation: 98-4=94, Resulting Numbers: [79, 94] Generated Node #0,3,3: 68:[79, 94] Operation: 98-4=94 Moving to Node #0,1,2 Current State: 68:[4, 19], Operations: ['98-29=69', '69-50=19'] Exploring Operation: 419=76, Resulting Numbers: [76] 76,68 unequal: No Solution Exploring Operation: 4+19=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,68 unequal: No Solution Moving to Node #0,3,1 Current State: 68:[4, 19], Operations: ['50+29=79', '98-79=19'] Exploring Operation: 4+19=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,68 unequal: No Solution Exploring Operation: 419=76, Resulting Numbers: [76] 76,68 unequal: No Solution Moving to Node #0,1,1 Current State: 68:[69, 46], Operations: ['98-29=69', '50-4=46'] Exploring Operation: 69+46=115, Resulting Numbers: [115] 115,68 unequal: No Solution Exploring Operation: 69-46=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 6946=3174, Resulting Numbers: [3174] 3174,68 unequal: No Solution Moving to Node #0,1,3 Current State: 68:[69, 54], Operations: ['98-29=69', '50+4=54'] Exploring Operation: 69+54=123, Resulting Numbers: [123] 123,68 unequal: No Solution Exploring Operation: 6954=3726, Resulting Numbers: [3726] 3726,68 unequal: No Solution Exploring Operation: 69-54=15, Resulting Numbers: [15] 15,68 unequal: No Solution Moving to Node #0,1,0 Current State: 68:[50, 65], Operations: ['98-29=69', '69-4=65'] Exploring Operation: 50+65=115, Resulting Numbers: [115] 115,68 unequal: No Solution Exploring Operation: 65-50=15, Resulting Numbers: [15] 15,68 unequal: No Solution Exploring Operation: 5065=3250, Resulting Numbers: [3250] 3250,68 unequal: No Solution Moving to Node #0,3,2 Current State: 68:[98, 75], Operations: ['50+29=79', '79-4=75'] Exploring Operation: 98+75=173, Resulting Numbers: [173] 173,68 unequal: No Solution Exploring Operation: 98-75=23, Resulting Numbers: [23] 23,68 unequal: No Solution Exploring Operation: 9875=7350, Resulting Numbers: [7350] 7350,68 unequal: No Solution Moving to Node #0,3,3 Current State: 68:[79, 94], Operations: ['50+29=79', '98-4=94'] Exploring Operation: 7994=7426, Resulting Numbers: [7426] 7426,68 unequal: No Solution Exploring Operation: 94-79=15, Resulting Numbers: [15] 15,68 unequal: No Solution Exploring Operation: 79+94=173, Resulting Numbers: [173] 173,68 unequal: No Solution Moving to Node #0,3,0 Current State: 68:[79, 102], Operations: ['50+29=79', '98+4=102'] Exploring Operation: 79+102=181, Resulting Numbers: [181] 181,68 unequal: No Solution Exploring Operation: 79102=8058, Resulting Numbers: [8058] 8058,68 unequal: No Solution Exploring Operation: 102-79=23, Resulting Numbers: [23] 23,68 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 23, 5, 58, 51 ]	29	[ "23*58=1334", "51-5=46", "1334/46=29" ]	Current State: 29:[23, 5, 58, 51], Operations: [] Exploring Operation: 2358=1334, Resulting Numbers: [5, 51, 1334] Generated Node #2: [5, 51, 1334] from Operation: 2358=1334 Current State: 29:[5, 51, 1334], Operations: ['2358=1334'] Exploring Operation: 51-5=46, Resulting Numbers: [1334, 46] Generated Node #3: [1334, 46] from Operation: 51-5=46 Current State: 29:[1334, 46], Operations: ['2358=1334', '51-5=46'] Exploring Operation: 1334/46=29, Resulting Numbers: [29] 29,29 equal: Goal Reached	4	Current State: 29:[23, 5, 58, 51], Operations: [] Exploring Operation: 23+5=28, Resulting Numbers: [58, 51, 28] Generated Node #0,0: 29:[58, 51, 28] Operation: 23+5=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[58, 51, 28], Operations: ['23+5=28'] Exploring Operation: 58-51=7, Resulting Numbers: [28, 7] Generated Node #0,0,0: 29:[28, 7] Operation: 58-51=7 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 29:[28, 7], Operations: ['23+5=28', '58-51=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 96, 11, 55, 42 ]	98	[ "96-11=85", "55-42=13", "85+13=98" ]	Current State: 98:[96, 11, 55, 42], Operations: [] Exploring Operation: 96-11=85, Resulting Numbers: [55, 42, 85] Generated Node #2: [55, 42, 85] from Operation: 96-11=85 Current State: 98:[55, 42, 85], Operations: ['96-11=85'] Exploring Operation: 55-42=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 55-42=13 Current State: 98:[85, 13], Operations: ['96-11=85', '55-42=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached	4	Current State: 98:[96, 11, 55, 42], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [96, 11, 13] Generated Node #0,0: 98:[96, 11, 13] Operation: 55-42=13 Exploring Operation: 55+42=97, Resulting Numbers: [96, 11, 97] Generated Node #0,1: 98:[96, 11, 97] Operation: 55+42=97 Exploring Operation: 11+42=53, Resulting Numbers: [96, 55, 53] Generated Node #0,2: 98:[96, 55, 53] Operation: 11+42=53 Exploring Operation: 55/11=5, Resulting Numbers: [96, 42, 5] Generated Node #0,3: 98:[96, 42, 5] Operation: 55/11=5 Moving to Node #0,0 Current State: 98:[96, 11, 13], Operations: ['55-42=13'] Exploring Operation: 13-11=2, Resulting Numbers: [96, 2] Generated Node #0,0,0: 98:[96, 2] Operation: 13-11=2 Exploring Operation: 96+11=107, Resulting Numbers: [13, 107] Generated Node #0,0,1: 98:[13, 107] Operation: 96+11=107 Exploring Operation: 11+13=24, Resulting Numbers: [96, 24] Generated Node #0,0,2: 98:[96, 24] Operation: 11+13=24 Exploring Operation: 96-11=85, Resulting Numbers: [13, 85] Generated Node #0,0,3: 98:[13, 85] Operation: 96-11=85 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 98:[96, 2], Operations: ['55-42=13', '13-11=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,98 unequal: No Solution Exploring Operation: 96*2=192, Resulting Numbers: [192] 192,98 unequal: No Solution Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,98 unequal: No Solution Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[96, 11, 55, 42], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [96, 11, 13] Generated Node #0,0: 98:[96, 11, 13] Operation: 55-42=13 Moving to Node #0,0 Current State: 98:[96, 11, 13], Operations: ['55-42=13'] Exploring Operation: 13-11=2, Resulting Numbers: [96, 2] Generated Node #0,0,0: 98:[96, 2] Operation: 13-11=2 Moving to Node #0,0,0 Current State: 98:[96, 2], Operations: ['55-42=13', '13-11=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_4	mult_heuristic
[ 1, 90, 7, 93 ]	20	[ "93-90=3", "7*3=21", "21-1=20" ]	Current State: 20:[1, 90, 7, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [1, 7, 3] Generated Node #2: [1, 7, 3] from Operation: 93-90=3 Current State: 20:[1, 7, 3], Operations: ['93-90=3'] Exploring Operation: 73=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 73=21 Current State: 20:[1, 21], Operations: ['93-90=3', '7*3=21'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[1, 90, 7, 93], Operations: [] Exploring Operation: 90-7=83, Resulting Numbers: [1, 93, 83] Generated Node #0,0: 20:[1, 93, 83] Operation: 90-7=83 Exploring Operation: 93-90=3, Resulting Numbers: [1, 7, 3] Generated Node #0,1: 20:[1, 7, 3] Operation: 93-90=3 Start Sub Search at level 1: Moving to Node #0,1 Current State: 20:[1, 7, 3], Operations: ['93-90=3'] Exploring Operation: 7+3=10, Resulting Numbers: [1, 10] Generated Node #0,1,0: 20:[1, 10] Operation: 7+3=10 Exploring Operation: 7-3=4, Resulting Numbers: [1, 4] Generated Node #0,1,1: 20:[1, 4] Operation: 7-3=4 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 20:[1, 10], Operations: ['93-90=3', '7+3=10'] Exploring Operation: 110=10, Resulting Numbers: [10] 10,20 unequal: No Solution Exploring Operation: 10/1=10, Resulting Numbers: [10] 10,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 20:[1, 4], Operations: ['93-90=3', '7-3=4'] Exploring Operation: 14=4, Resulting Numbers: [4] 4,20 unequal: No Solution Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 20:[1, 93, 83], Operations: ['90-7=83'] Exploring Operation: 93-83=10, Resulting Numbers: [1, 10] Generated Node #0,0,0: 20:[1, 10] Operation: 93-83=10 Exploring Operation: 93-1=92, Resulting Numbers: [83, 92] Generated Node #0,0,1: 20:[83, 92] Operation: 93-1=92 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 20:[1, 10], Operations: ['90-7=83', '93-83=10'] Exploring Operation: 10/1=10, Resulting Numbers: [10] 10,20 unequal: No Solution Exploring Operation: 1*10=10, Resulting Numbers: [10] 10,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 20:[83, 92], Operations: ['90-7=83', '93-1=92'] Exploring Operation: 92-83=9, Resulting Numbers: [9] 9,20 unequal: No Solution Exploring Operation: 83+92=175, Resulting Numbers: [175] 175,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 93, 27, 89, 46 ]	98	[ "89+46=135", "135/27=5", "93+5=98" ]	Current State: 98:[93, 27, 89, 46], Operations: [] Exploring Operation: 89+46=135, Resulting Numbers: [93, 27, 135] Generated Node #2: [93, 27, 135] from Operation: 89+46=135 Current State: 98:[93, 27, 135], Operations: ['89+46=135'] Exploring Operation: 135/27=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 135/27=5 Current State: 98:[93, 5], Operations: ['89+46=135', '135/27=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached	4	Current State: 98:[93, 27, 89, 46], Operations: [] Exploring Operation: 89-46=43, Resulting Numbers: [93, 27, 43] Generated Node #0,0: 98:[93, 27, 43] Operation: 89-46=43 Exploring Operation: 93-46=47, Resulting Numbers: [27, 89, 47] Generated Node #0,1: 98:[27, 89, 47] Operation: 93-46=47 Exploring Operation: 46-27=19, Resulting Numbers: [93, 89, 19] Generated Node #0,2: 98:[93, 89, 19] Operation: 46-27=19 Exploring Operation: 93-89=4, Resulting Numbers: [27, 46, 4] Generated Node #0,3: 98:[27, 46, 4] Operation: 93-89=4 Exploring Operation: 89-27=62, Resulting Numbers: [93, 46, 62] Generated Node #0,4: 98:[93, 46, 62] Operation: 89-27=62 Moving to Node #0,3 Current State: 98:[27, 46, 4], Operations: ['93-89=4'] Exploring Operation: 46-27=19, Resulting Numbers: [4, 19] Generated Node #0,3,0: 98:[4, 19] Operation: 46-27=19 Exploring Operation: 274=108, Resulting Numbers: [46, 108] Generated Node #0,3,1: 98:[46, 108] Operation: 274=108 Exploring Operation: 27+4=31, Resulting Numbers: [46, 31] Generated Node #0,3,2: 98:[46, 31] Operation: 27+4=31 Exploring Operation: 46+4=50, Resulting Numbers: [27, 50] Generated Node #0,3,3: 98:[27, 50] Operation: 46+4=50 Exploring Operation: 27-4=23, Resulting Numbers: [46, 23] Generated Node #0,3,4: 98:[46, 23] Operation: 27-4=23 Moving to Node #0,2 Current State: 98:[93, 89, 19], Operations: ['46-27=19'] Exploring Operation: 89+19=108, Resulting Numbers: [93, 108] Generated Node #0,2,0: 98:[93, 108] Operation: 89+19=108 Exploring Operation: 89-19=70, Resulting Numbers: [93, 70] Generated Node #0,2,1: 98:[93, 70] Operation: 89-19=70 Exploring Operation: 93-19=74, Resulting Numbers: [89, 74] Generated Node #0,2,2: 98:[89, 74] Operation: 93-19=74 Exploring Operation: 93-89=4, Resulting Numbers: [19, 4] Generated Node #0,2,3: 98:[19, 4] Operation: 93-89=4 Exploring Operation: 93+19=112, Resulting Numbers: [89, 112] Generated Node #0,2,4: 98:[89, 112] Operation: 93+19=112 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 98:[19, 4], Operations: ['46-27=19', '93-89=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,98 unequal: No Solution Exploring Operation: 194=76, Resulting Numbers: [76] 76,98 unequal: No Solution Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 98:[93, 108], Operations: ['46-27=19', '89+19=108'] Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 93+108=201, Resulting Numbers: [201] 201,98 unequal: No Solution Exploring Operation: 93108=10044, Resulting Numbers: [10044] 10044,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 98:[89, 112], Operations: ['46-27=19', '93+19=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,98 unequal: No Solution Exploring Operation: 89112=9968, Resulting Numbers: [9968] 9968,98 unequal: No Solution Exploring Operation: 89+112=201, Resulting Numbers: [201] 201,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 98:[93, 70], Operations: ['46-27=19', '89-19=70'] Exploring Operation: 9370=6510, Resulting Numbers: [6510] 6510,98 unequal: No Solution Exploring Operation: 93+70=163, Resulting Numbers: [163] 163,98 unequal: No Solution Exploring Operation: 93-70=23, Resulting Numbers: [23] 23,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 98:[89, 74], Operations: ['46-27=19', '93-19=74'] Exploring Operation: 8974=6586, Resulting Numbers: [6586] 6586,98 unequal: No Solution Exploring Operation: 89-74=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 89+74=163, Resulting Numbers: [163] 163,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 98:[93, 46, 62], Operations: ['89-27=62'] Exploring Operation: 93+46=139, Resulting Numbers: [62, 139] Generated Node #0,4,0: 98:[62, 139] Operation: 93+46=139 Exploring Operation: 62-46=16, Resulting Numbers: [93, 16] Generated Node #0,4,1: 98:[93, 16] Operation: 62-46=16 Exploring Operation: 93-62=31, Resulting Numbers: [46, 31] Generated Node #0,4,2: 98:[46, 31] Operation: 93-62=31 Exploring Operation: 46+62=108, Resulting Numbers: [93, 108] Generated Node #0,4,3: 98:[93, 108] Operation: 46+62=108 Exploring Operation: 93-46=47, Resulting Numbers: [62, 47] Generated Node #0,4,4: 98:[62, 47] Operation: 93-46=47 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 98:[93, 16], Operations: ['89-27=62', '62-46=16'] Exploring Operation: 9316=1488, Resulting Numbers: [1488] 1488,98 unequal: No Solution Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 93+16=109, Resulting Numbers: [109] 109,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 98:[93, 108], Operations: ['89-27=62', '46+62=108'] Exploring Operation: 93108=10044, Resulting Numbers: [10044] 10044,98 unequal: No Solution Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 93+108=201, Resulting Numbers: [201] 201,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 98:[62, 47], Operations: ['89-27=62', '93-46=47'] Exploring Operation: 62+47=109, Resulting Numbers: [109] 109,98 unequal: No Solution Exploring Operation: 6247=2914, Resulting Numbers: [2914] 2914,98 unequal: No Solution Exploring Operation: 62-47=15, Resulting Numbers: [15] 15,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 98:[46, 31], Operations: ['89-27=62', '93-62=31'] Exploring Operation: 46-31=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 46+31=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 4631=1426, Resulting Numbers: [1426] 1426,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 98:[62, 139], Operations: ['89-27=62', '93+46=139'] Exploring Operation: 62139=8618, Resulting Numbers: [8618] 8618,98 unequal: No Solution Exploring Operation: 62+139=201, Resulting Numbers: [201] 201,98 unequal: No Solution Exploring Operation: 139-62=77, Resulting Numbers: [77] 77,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 98:[93, 27, 43], Operations: ['89-46=43'] Exploring Operation: 43-27=16, Resulting Numbers: [93, 16] Generated Node #0,0,0: 98:[93, 16] Operation: 43-27=16 Exploring Operation: 93-27=66, Resulting Numbers: [43, 66] Generated Node #0,0,1: 98:[43, 66] Operation: 93-27=66 Exploring Operation: 93-43=50, Resulting Numbers: [27, 50] Generated Node #0,0,2: 98:[27, 50] Operation: 93-43=50 Exploring Operation: 27+43=70, Resulting Numbers: [93, 70] Generated Node #0,0,3: 98:[93, 70] Operation: 27+43=70 Exploring Operation: 93+27=120, Resulting Numbers: [43, 120] Generated Node #0,0,4: 98:[43, 120] Operation: 93+27=120 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 98:[93, 16], Operations: ['89-46=43', '43-27=16'] Exploring Operation: 93+16=109, Resulting Numbers: [109] 109,98 unequal: No Solution Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 9316=1488, Resulting Numbers: [1488] 1488,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 98:[27, 50], Operations: ['89-46=43', '93-43=50'] Exploring Operation: 2750=1350, Resulting Numbers: [1350] 1350,98 unequal: No Solution Exploring Operation: 27+50=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 98:[43, 66], Operations: ['89-46=43', '93-27=66'] Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,98 unequal: No Solution Exploring Operation: 43+66=109, Resulting Numbers: [109] 109,98 unequal: No Solution Exploring Operation: 4366=2838, Resulting Numbers: [2838] 2838,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 98:[93, 70], Operations: ['89-46=43', '27+43=70'] Exploring Operation: 93-70=23, Resulting Numbers: [23] 23,98 unequal: No Solution Exploring Operation: 93+70=163, Resulting Numbers: [163] 163,98 unequal: No Solution Exploring Operation: 9370=6510, Resulting Numbers: [6510] 6510,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 98:[43, 120], Operations: ['89-46=43', '93+27=120'] Exploring Operation: 43+120=163, Resulting Numbers: [163] 163,98 unequal: No Solution Exploring Operation: 120-43=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 43120=5160, Resulting Numbers: [5160] 5160,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 98:[27, 89, 47], Operations: ['93-46=47'] Exploring Operation: 89-47=42, Resulting Numbers: [27, 42] Generated Node #0,1,0: 98:[27, 42] Operation: 89-47=42 Exploring Operation: 27+89=116, Resulting Numbers: [47, 116] Generated Node #0,1,1: 98:[47, 116] Operation: 27+89=116 Exploring Operation: 89-27=62, Resulting Numbers: [47, 62] Generated Node #0,1,2: 98:[47, 62] Operation: 89-27=62 Exploring Operation: 47-27=20, Resulting Numbers: [89, 20] Generated Node #0,1,3: 98:[89, 20] Operation: 47-27=20 Exploring Operation: 27+47=74, Resulting Numbers: [89, 74] Generated Node #0,1,4: 98:[89, 74] Operation: 27+47=74 Moving to Node #0,3,0 Current State: 98:[4, 19], Operations: ['93-89=4', '46-27=19'] Exploring Operation: 4+19=23, Resulting Numbers: [23] 23,98 unequal: No Solution Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 419=76, Resulting Numbers: [76] 76,98 unequal: No Solution Moving to Node #0,3,4 Current State: 98:[46, 23], Operations: ['93-89=4', '27-4=23'] Exploring Operation: 4623=1058, Resulting Numbers: [1058] 1058,98 unequal: No Solution Exploring Operation: 46+23=69, Resulting Numbers: [69] 69,98 unequal: No Solution Exploring Operation: 46/23=2, Resulting Numbers: [2] 2,98 unequal: No Solution Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,98 unequal: No Solution Moving to Node #0,3,1 Current State: 98:[46, 108], Operations: ['93-89=4', '274=108'] Exploring Operation: 46+108=154, Resulting Numbers: [154] 154,98 unequal: No Solution Exploring Operation: 46108=4968, Resulting Numbers: [4968] 4968,98 unequal: No Solution Exploring Operation: 108-46=62, Resulting Numbers: [62] 62,98 unequal: No Solution Moving to Node #0,3,3 Current State: 98:[27, 50], Operations: ['93-89=4', '46+4=50'] Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,98 unequal: No Solution Exploring Operation: 27+50=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 2750=1350, Resulting Numbers: [1350] 1350,98 unequal: No Solution Moving to Node #0,1,3 Current State: 98:[89, 20], Operations: ['93-46=47', '47-27=20'] Exploring Operation: 89+20=109, Resulting Numbers: [109] 109,98 unequal: No Solution Exploring Operation: 8920=1780, Resulting Numbers: [1780] 1780,98 unequal: No Solution Exploring Operation: 89-20=69, Resulting Numbers: [69] 69,98 unequal: No Solution Moving to Node #0,1,2 Current State: 98:[47, 62], Operations: ['93-46=47', '89-27=62'] Exploring Operation: 4762=2914, Resulting Numbers: [2914] 2914,98 unequal: No Solution Exploring Operation: 62-47=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 47+62=109, Resulting Numbers: [109] 109,98 unequal: No Solution Moving to Node #0,3,2 Current State: 98:[46, 31], Operations: ['93-89=4', '27+4=31'] Exploring Operation: 46+31=77, Resulting Numbers: [77] 77,98 unequal: No Solution Exploring Operation: 4631=1426, Resulting Numbers: [1426] 1426,98 unequal: No Solution Exploring Operation: 46-31=15, Resulting Numbers: [15] 15,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[47, 116], Operations: ['93-46=47', '27+89=116'] Exploring Operation: 116-47=69, Resulting Numbers: [69] 69,98 unequal: No Solution Exploring Operation: 47+116=163, Resulting Numbers: [163] 163,98 unequal: No Solution Exploring Operation: 47116=5452, Resulting Numbers: [5452] 5452,98 unequal: No Solution Moving to Node #0,1,0 Current State: 98:[27, 42], Operations: ['93-46=47', '89-47=42'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 2742=1134, Resulting Numbers: [1134] 1134,98 unequal: No Solution Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,98 unequal: No Solution Moving to Node #0,1,4 Current State: 98:[89, 74], Operations: ['93-46=47', '27+47=74'] Exploring Operation: 89-74=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 89+74=163, Resulting Numbers: [163] 163,98 unequal: No Solution Exploring Operation: 8974=6586, Resulting Numbers: [6586] 6586,98 unequal: No Solution No solution found.	0	hs_5	sum_heuristic
[ 56, 51, 74, 96 ]	27	[ "56-51=5", "96-74=22", "5+22=27" ]	Current State: 27:[56, 51, 74, 96], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [74, 96, 5] Generated Node #2: [74, 96, 5] from Operation: 56-51=5 Current State: 27:[74, 96, 5], Operations: ['56-51=5'] Exploring Operation: 96-74=22, Resulting Numbers: [5, 22] Generated Node #3: [5, 22] from Operation: 96-74=22 Current State: 27:[5, 22], Operations: ['56-51=5', '96-74=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached	4	Current State: 27:[56, 51, 74, 96], Operations: [] Exploring Operation: 96-74=22, Resulting Numbers: [56, 51, 22] Generated Node #0,0: 27:[56, 51, 22] Operation: 96-74=22 Exploring Operation: 96-56=40, Resulting Numbers: [51, 74, 40] Generated Node #0,1: 27:[51, 74, 40] Operation: 96-56=40 Moving to Node #0,0 Current State: 27:[56, 51, 22], Operations: ['96-74=22'] Exploring Operation: 56-51=5, Resulting Numbers: [22, 5] Generated Node #0,0,0: 27:[22, 5] Operation: 56-51=5 Exploring Operation: 56-22=34, Resulting Numbers: [51, 34] Generated Node #0,0,1: 27:[51, 34] Operation: 56-22=34 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 27:[22, 5], Operations: ['96-74=22', '56-51=5'] Exploring Operation: 22-5=17, Resulting Numbers: [17] 17,27 unequal: No Solution Exploring Operation: 22+5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[56, 51, 74, 96], Operations: [] Exploring Operation: 96-74=22, Resulting Numbers: [56, 51, 22] Generated Node #0,0: 27:[56, 51, 22] Operation: 96-74=22 Moving to Node #0,0 Current State: 27:[56, 51, 22], Operations: ['96-74=22'] Exploring Operation: 56-51=5, Resulting Numbers: [22, 5] Generated Node #0,0,0: 27:[22, 5] Operation: 56-51=5 Moving to Node #0,0,0 Current State: 27:[22, 5], Operations: ['96-74=22', '56-51=5'] Exploring Operation: 22+5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	mult_heuristic
[ 91, 8, 11, 26 ]	84	[ "91+8=99", "26-11=15", "99-15=84" ]	Current State: 84:[91, 8, 11, 26], Operations: [] Exploring Operation: 91+8=99, Resulting Numbers: [11, 26, 99] Generated Node #2: [11, 26, 99] from Operation: 91+8=99 Current State: 84:[11, 26, 99], Operations: ['91+8=99'] Exploring Operation: 26-11=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 26-11=15 Current State: 84:[99, 15], Operations: ['91+8=99', '26-11=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached	4	Current State: 84:[91, 8, 11, 26], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [91, 26, 3] Generated Node #0,0: 84:[91, 26, 3] Operation: 11-8=3 Exploring Operation: 91-11=80, Resulting Numbers: [8, 26, 80] Generated Node #0,1: 84:[8, 26, 80] Operation: 91-11=80 Exploring Operation: 91-8=83, Resulting Numbers: [11, 26, 83] Generated Node #0,2: 84:[11, 26, 83] Operation: 91-8=83 Start Sub Search at level 1: Moving to Node #0,2 Current State: 84:[11, 26, 83], Operations: ['91-8=83'] Exploring Operation: 26-11=15, Resulting Numbers: [83, 15] Generated Node #0,2,0: 84:[83, 15] Operation: 26-11=15 Exploring Operation: 11+26=37, Resulting Numbers: [83, 37] Generated Node #0,2,1: 84:[83, 37] Operation: 11+26=37 Exploring Operation: 11+83=94, Resulting Numbers: [26, 94] Generated Node #0,2,2: 84:[26, 94] Operation: 11+83=94 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 84:[83, 15], Operations: ['91-8=83', '26-11=15'] Exploring Operation: 83-15=68, Resulting Numbers: [68] 68,84 unequal: No Solution Exploring Operation: 83+15=98, Resulting Numbers: [98] 98,84 unequal: No Solution Exploring Operation: 8315=1245, Resulting Numbers: [1245] 1245,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 84:[83, 37], Operations: ['91-8=83', '11+26=37'] Exploring Operation: 8337=3071, Resulting Numbers: [3071] 3071,84 unequal: No Solution Exploring Operation: 83-37=46, Resulting Numbers: [46] 46,84 unequal: No Solution Exploring Operation: 83+37=120, Resulting Numbers: [120] 120,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 84:[26, 94], Operations: ['91-8=83', '11+83=94'] Exploring Operation: 2694=2444, Resulting Numbers: [2444] 2444,84 unequal: No Solution Exploring Operation: 26+94=120, Resulting Numbers: [120] 120,84 unequal: No Solution Exploring Operation: 94-26=68, Resulting Numbers: [68] 68,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 84:[8, 26, 80], Operations: ['91-11=80'] Exploring Operation: 26-8=18, Resulting Numbers: [80, 18] Generated Node #0,1,0: 84:[80, 18] Operation: 26-8=18 Exploring Operation: 8+80=88, Resulting Numbers: [26, 88] Generated Node #0,1,1: 84:[26, 88] Operation: 8+80=88 Exploring Operation: 80/8=10, Resulting Numbers: [26, 10] Generated Node #0,1,2: 84:[26, 10] Operation: 80/8=10 Moving to Node #0,1,2 Current State: 84:[26, 10], Operations: ['91-11=80', '80/8=10'] Exploring Operation: 26+10=36, Resulting Numbers: [36] 36,84 unequal: No Solution Exploring Operation: 2610=260, Resulting Numbers: [260] 260,84 unequal: No Solution Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[26, 88], Operations: ['91-11=80', '8+80=88'] Exploring Operation: 26+88=114, Resulting Numbers: [114] 114,84 unequal: No Solution Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,84 unequal: No Solution Exploring Operation: 2688=2288, Resulting Numbers: [2288] 2288,84 unequal: No Solution Moving to Node #0,1,0 Current State: 84:[80, 18], Operations: ['91-11=80', '26-8=18'] Exploring Operation: 8018=1440, Resulting Numbers: [1440] 1440,84 unequal: No Solution Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,84 unequal: No Solution Exploring Operation: 80+18=98, Resulting Numbers: [98] 98,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[91, 26, 3], Operations: ['11-8=3'] Exploring Operation: 26+3=29, Resulting Numbers: [91, 29] Generated Node #0,0,0: 84:[91, 29] Operation: 26+3=29 Exploring Operation: 26-3=23, Resulting Numbers: [91, 23] Generated Node #0,0,1: 84:[91, 23] Operation: 26-3=23 Exploring Operation: 91-3=88, Resulting Numbers: [26, 88] Generated Node #0,0,2: 84:[26, 88] Operation: 91-3=88 Moving to Node #0,0,2 Current State: 84:[26, 88], Operations: ['11-8=3', '91-3=88'] Exploring Operation: 2688=2288, Resulting Numbers: [2288] 2288,84 unequal: No Solution Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,84 unequal: No Solution Exploring Operation: 26+88=114, Resulting Numbers: [114] 114,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[91, 29], Operations: ['11-8=3', '26+3=29'] Exploring Operation: 91-29=62, Resulting Numbers: [62] 62,84 unequal: No Solution Exploring Operation: 91+29=120, Resulting Numbers: [120] 120,84 unequal: No Solution Exploring Operation: 9129=2639, Resulting Numbers: [2639] 2639,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[91, 23], Operations: ['11-8=3', '26-3=23'] Exploring Operation: 91-23=68, Resulting Numbers: [68] 68,84 unequal: No Solution Exploring Operation: 91*23=2093, Resulting Numbers: [2093] 2093,84 unequal: No Solution Exploring Operation: 91+23=114, Resulting Numbers: [114] 114,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 22, 30, 4, 98 ]	49	[ "30-22=8", "4*98=392", "392/8=49" ]	Current State: 49:[22, 30, 4, 98], Operations: [] Exploring Operation: 30-22=8, Resulting Numbers: [4, 98, 8] Generated Node #2: [4, 98, 8] from Operation: 30-22=8 Current State: 49:[4, 98, 8], Operations: ['30-22=8'] Exploring Operation: 498=392, Resulting Numbers: [8, 392] Generated Node #3: [8, 392] from Operation: 498=392 Current State: 49:[8, 392], Operations: ['30-22=8', '4*98=392'] Exploring Operation: 392/8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached	4	Current State: 49:[22, 30, 4, 98], Operations: [] Exploring Operation: 22+30=52, Resulting Numbers: [4, 98, 52] Generated Node #0,0: 49:[4, 98, 52] Operation: 22+30=52 Exploring Operation: 30-22=8, Resulting Numbers: [4, 98, 8] Generated Node #0,1: 49:[4, 98, 8] Operation: 30-22=8 Exploring Operation: 98-30=68, Resulting Numbers: [22, 4, 68] Generated Node #0,2: 49:[22, 4, 68] Operation: 98-30=68 Exploring Operation: 98-22=76, Resulting Numbers: [30, 4, 76] Generated Node #0,3: 49:[30, 4, 76] Operation: 98-22=76 Start Sub Search at level 1: Moving to Node #0,2 Current State: 49:[22, 4, 68], Operations: ['98-30=68'] Exploring Operation: 68-22=46, Resulting Numbers: [4, 46] Generated Node #0,2,0: 49:[4, 46] Operation: 68-22=46 Exploring Operation: 68-4=64, Resulting Numbers: [22, 64] Generated Node #0,2,1: 49:[22, 64] Operation: 68-4=64 Exploring Operation: 68/4=17, Resulting Numbers: [22, 17] Generated Node #0,2,2: 49:[22, 17] Operation: 68/4=17 Exploring Operation: 22-4=18, Resulting Numbers: [68, 18] Generated Node #0,2,3: 49:[68, 18] Operation: 22-4=18 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 49:[4, 46], Operations: ['98-30=68', '68-22=46'] Exploring Operation: 446=184, Resulting Numbers: [184] 184,49 unequal: No Solution Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,49 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 49:[22, 17], Operations: ['98-30=68', '68/4=17'] Exploring Operation: 2217=374, Resulting Numbers: [374] 374,49 unequal: No Solution Exploring Operation: 22-17=5, Resulting Numbers: [5] 5,49 unequal: No Solution Exploring Operation: 22+17=39, Resulting Numbers: [39] 39,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 49:[22, 64], Operations: ['98-30=68', '68-4=64'] Exploring Operation: 2264=1408, Resulting Numbers: [1408] 1408,49 unequal: No Solution Exploring Operation: 64-22=42, Resulting Numbers: [42] 42,49 unequal: No Solution Exploring Operation: 22+64=86, Resulting Numbers: [86] 86,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 49:[68, 18], Operations: ['98-30=68', '22-4=18'] Exploring Operation: 68+18=86, Resulting Numbers: [86] 86,49 unequal: No Solution Exploring Operation: 68-18=50, Resulting Numbers: [50] 50,49 unequal: No Solution Exploring Operation: 6818=1224, Resulting Numbers: [1224] 1224,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 49:[30, 4, 76], Operations: ['98-22=76'] Exploring Operation: 76/4=19, Resulting Numbers: [30, 19] Generated Node #0,3,0: 49:[30, 19] Operation: 76/4=19 Exploring Operation: 76-4=72, Resulting Numbers: [30, 72] Generated Node #0,3,1: 49:[30, 72] Operation: 76-4=72 Exploring Operation: 30+4=34, Resulting Numbers: [76, 34] Generated Node #0,3,2: 49:[76, 34] Operation: 30+4=34 Exploring Operation: 76-30=46, Resulting Numbers: [4, 46] Generated Node #0,3,3: 49:[4, 46] Operation: 76-30=46 Moving to Node #0,3,3 Current State: 49:[4, 46], Operations: ['98-22=76', '76-30=46'] Exploring Operation: 4*46=184, Resulting Numbers: [184] 184,49 unequal: No Solution Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,49 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,49 unequal: No Solution Moving to Node #0,3,0 Current State: 49:[30, 19], Operations: ['98-22=76', '76/4=19'] Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[22, 30, 4, 98], Operations: [] Exploring Operation: 98-22=76, Resulting Numbers: [30, 4, 76] Generated Node #0,3: 49:[30, 4, 76] Operation: 98-22=76 Moving to Node #0,3 Current State: 49:[30, 4, 76], Operations: ['98-22=76'] Exploring Operation: 76/4=19, Resulting Numbers: [30, 19] Generated Node #0,3,0: 49:[30, 19] Operation: 76/4=19 Moving to Node #0,3,0 Current State: 49:[30, 19], Operations: ['98-22=76', '76/4=19'] Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 1	0.972222	hs_4	sum_heuristic
[ 7, 24, 19, 96 ]	69	[ "96/24=4", "19*4=76", "76-7=69" ]	Current State: 69:[7, 24, 19, 96], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [7, 19, 4] Generated Node #2: [7, 19, 4] from Operation: 96/24=4 Current State: 69:[7, 19, 4], Operations: ['96/24=4'] Exploring Operation: 194=76, Resulting Numbers: [7, 76] Generated Node #3: [7, 76] from Operation: 194=76 Current State: 69:[7, 76], Operations: ['96/24=4', '19*4=76'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached	4	Current State: 69:[7, 24, 19, 96], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [7, 19, 4] Generated Node #0,0: 69:[7, 19, 4] Operation: 96/24=4 Exploring Operation: 96-19=77, Resulting Numbers: [7, 24, 77] Generated Node #0,1: 69:[7, 24, 77] Operation: 96-19=77 Exploring Operation: 96-24=72, Resulting Numbers: [7, 19, 72] Generated Node #0,2: 69:[7, 19, 72] Operation: 96-24=72 Moving to Node #0,0 Current State: 69:[7, 19, 4], Operations: ['96/24=4'] Exploring Operation: 7+19=26, Resulting Numbers: [4, 26] Generated Node #0,0,0: 69:[4, 26] Operation: 7+19=26 Exploring Operation: 7-4=3, Resulting Numbers: [19, 3] Generated Node #0,0,1: 69:[19, 3] Operation: 7-4=3 Exploring Operation: 19+4=23, Resulting Numbers: [7, 23] Generated Node #0,0,2: 69:[7, 23] Operation: 19+4=23 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 69:[4, 26], Operations: ['96/24=4', '7+19=26'] Exploring Operation: 426=104, Resulting Numbers: [104] 104,69 unequal: No Solution Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,69 unequal: No Solution Exploring Operation: 4+26=30, Resulting Numbers: [30] 30,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 69:[19, 3], Operations: ['96/24=4', '7-4=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,69 unequal: No Solution Exploring Operation: 193=57, Resulting Numbers: [57] 57,69 unequal: No Solution Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 69:[7, 23], Operations: ['96/24=4', '19+4=23'] Exploring Operation: 723=161, Resulting Numbers: [161] 161,69 unequal: No Solution Exploring Operation: 7+23=30, Resulting Numbers: [30] 30,69 unequal: No Solution Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 69:[7, 19, 72], Operations: ['96-24=72'] Exploring Operation: 72-7=65, Resulting Numbers: [19, 65] Generated Node #0,2,0: 69:[19, 65] Operation: 72-7=65 Exploring Operation: 19-7=12, Resulting Numbers: [72, 12] Generated Node #0,2,1: 69:[72, 12] Operation: 19-7=12 Exploring Operation: 7+19=26, Resulting Numbers: [72, 26] Generated Node #0,2,2: 69:[72, 26] Operation: 7+19=26 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 69:[72, 26], Operations: ['96-24=72', '7+19=26'] Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,69 unequal: No Solution Exploring Operation: 7226=1872, Resulting Numbers: [1872] 1872,69 unequal: No Solution Exploring Operation: 72+26=98, Resulting Numbers: [98] 98,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 69:[19, 65], Operations: ['96-24=72', '72-7=65'] Exploring Operation: 19+65=84, Resulting Numbers: [84] 84,69 unequal: No Solution Exploring Operation: 65-19=46, Resulting Numbers: [46] 46,69 unequal: No Solution Exploring Operation: 1965=1235, Resulting Numbers: [1235] 1235,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 69:[72, 12], Operations: ['96-24=72', '19-7=12'] Exploring Operation: 72+12=84, Resulting Numbers: [84] 84,69 unequal: No Solution Exploring Operation: 72-12=60, Resulting Numbers: [60] 60,69 unequal: No Solution Exploring Operation: 72/12=6, Resulting Numbers: [6] 6,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 69:[7, 24, 77], Operations: ['96-19=77'] Exploring Operation: 77-7=70, Resulting Numbers: [24, 70] Generated Node #0,1,0: 69:[24, 70] Operation: 77-7=70 Exploring Operation: 77/7=11, Resulting Numbers: [24, 11] Generated Node #0,1,1: 69:[24, 11] Operation: 77/7=11 Exploring Operation: 24-7=17, Resulting Numbers: [77, 17] Generated Node #0,1,2: 69:[77, 17] Operation: 24-7=17 Moving to Node #0,1,0 Current State: 69:[24, 70], Operations: ['96-19=77', '77-7=70'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,69 unequal: No Solution Exploring Operation: 24+70=94, Resulting Numbers: [94] 94,69 unequal: No Solution Exploring Operation: 2470=1680, Resulting Numbers: [1680] 1680,69 unequal: No Solution Moving to Node #0,1,1 Current State: 69:[24, 11], Operations: ['96-19=77', '77/7=11'] Exploring Operation: 24+11=35, Resulting Numbers: [35] 35,69 unequal: No Solution Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,69 unequal: No Solution Exploring Operation: 2411=264, Resulting Numbers: [264] 264,69 unequal: No Solution Moving to Node #0,1,2 Current State: 69:[77, 17], Operations: ['96-19=77', '24-7=17'] Exploring Operation: 77+17=94, Resulting Numbers: [94] 94,69 unequal: No Solution Exploring Operation: 77-17=60, Resulting Numbers: [60] 60,69 unequal: No Solution Exploring Operation: 7717=1309, Resulting Numbers: [1309] 1309,69 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 26, 46, 18, 83 ]	85	[ "46-26=20", "83-18=65", "20+65=85" ]	Current State: 85:[26, 46, 18, 83], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [18, 83, 20] Generated Node #2: [18, 83, 20] from Operation: 46-26=20 Current State: 85:[18, 83, 20], Operations: ['46-26=20'] Exploring Operation: 83-18=65, Resulting Numbers: [20, 65] Generated Node #3: [20, 65] from Operation: 83-18=65 Current State: 85:[20, 65], Operations: ['46-26=20', '83-18=65'] Exploring Operation: 20+65=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	4	Current State: 85:[26, 46, 18, 83], Operations: [] Exploring Operation: 46+18=64, Resulting Numbers: [26, 83, 64] Generated Node #0,0: 85:[26, 83, 64] Operation: 46+18=64 Exploring Operation: 46-18=28, Resulting Numbers: [26, 83, 28] Generated Node #0,1: 85:[26, 83, 28] Operation: 46-18=28 Exploring Operation: 46-26=20, Resulting Numbers: [18, 83, 20] Generated Node #0,2: 85:[18, 83, 20] Operation: 46-26=20 Exploring Operation: 83-46=37, Resulting Numbers: [26, 18, 37] Generated Node #0,3: 85:[26, 18, 37] Operation: 83-46=37 Exploring Operation: 26+46=72, Resulting Numbers: [18, 83, 72] Generated Node #0,4: 85:[18, 83, 72] Operation: 26+46=72 Moving to Node #0,2 Current State: 85:[18, 83, 20], Operations: ['46-26=20'] Exploring Operation: 20-18=2, Resulting Numbers: [83, 2] Generated Node #0,2,0: 85:[83, 2] Operation: 20-18=2 Exploring Operation: 18+83=101, Resulting Numbers: [20, 101] Generated Node #0,2,1: 85:[20, 101] Operation: 18+83=101 Exploring Operation: 18+20=38, Resulting Numbers: [83, 38] Generated Node #0,2,2: 85:[83, 38] Operation: 18+20=38 Exploring Operation: 83+20=103, Resulting Numbers: [18, 103] Generated Node #0,2,3: 85:[18, 103] Operation: 83+20=103 Exploring Operation: 83-18=65, Resulting Numbers: [20, 65] Generated Node #0,2,4: 85:[20, 65] Operation: 83-18=65 Moving to Node #0,4 Current State: 85:[18, 83, 72], Operations: ['26+46=72'] Exploring Operation: 18+83=101, Resulting Numbers: [72, 101] Generated Node #0,4,0: 85:[72, 101] Operation: 18+83=101 Exploring Operation: 18+72=90, Resulting Numbers: [83, 90] Generated Node #0,4,1: 85:[83, 90] Operation: 18+72=90 Exploring Operation: 83-18=65, Resulting Numbers: [72, 65] Generated Node #0,4,2: 85:[72, 65] Operation: 83-18=65 Exploring Operation: 83-72=11, Resulting Numbers: [18, 11] Generated Node #0,4,3: 85:[18, 11] Operation: 83-72=11 Exploring Operation: 72/18=4, Resulting Numbers: [83, 4] Generated Node #0,4,4: 85:[83, 4] Operation: 72/18=4 Moving to Node #0,1 Current State: 85:[26, 83, 28], Operations: ['46-18=28'] Exploring Operation: 28-26=2, Resulting Numbers: [83, 2] Generated Node #0,1,0: 85:[83, 2] Operation: 28-26=2 Exploring Operation: 83+28=111, Resulting Numbers: [26, 111] Generated Node #0,1,1: 85:[26, 111] Operation: 83+28=111 Exploring Operation: 26+83=109, Resulting Numbers: [28, 109] Generated Node #0,1,2: 85:[28, 109] Operation: 26+83=109 Exploring Operation: 83-26=57, Resulting Numbers: [28, 57] Generated Node #0,1,3: 85:[28, 57] Operation: 83-26=57 Exploring Operation: 26+28=54, Resulting Numbers: [83, 54] Generated Node #0,1,4: 85:[83, 54] Operation: 26+28=54 Moving to Node #0,3 Current State: 85:[26, 18, 37], Operations: ['83-46=37'] Exploring Operation: 26+37=63, Resulting Numbers: [18, 63] Generated Node #0,3,0: 85:[18, 63] Operation: 26+37=63 Exploring Operation: 26-18=8, Resulting Numbers: [37, 8] Generated Node #0,3,1: 85:[37, 8] Operation: 26-18=8 Exploring Operation: 37-18=19, Resulting Numbers: [26, 19] Generated Node #0,3,2: 85:[26, 19] Operation: 37-18=19 Exploring Operation: 18+37=55, Resulting Numbers: [26, 55] Generated Node #0,3,3: 85:[26, 55] Operation: 18+37=55 Exploring Operation: 37-26=11, Resulting Numbers: [18, 11] Generated Node #0,3,4: 85:[18, 11] Operation: 37-26=11 Moving to Node #0,0 Current State: 85:[26, 83, 64], Operations: ['46+18=64'] Exploring Operation: 26+64=90, Resulting Numbers: [83, 90] Generated Node #0,0,0: 85:[83, 90] Operation: 26+64=90 Exploring Operation: 64-26=38, Resulting Numbers: [83, 38] Generated Node #0,0,1: 85:[83, 38] Operation: 64-26=38 Exploring Operation: 26+83=109, Resulting Numbers: [64, 109] Generated Node #0,0,2: 85:[64, 109] Operation: 26+83=109 Exploring Operation: 83-26=57, Resulting Numbers: [64, 57] Generated Node #0,0,3: 85:[64, 57] Operation: 83-26=57 Exploring Operation: 83-64=19, Resulting Numbers: [26, 19] Generated Node #0,0,4: 85:[26, 19] Operation: 83-64=19 Moving to Node #0,4,4 Current State: 85:[83, 4], Operations: ['26+46=72', '72/18=4'] Exploring Operation: 834=332, Resulting Numbers: [332] 332,85 unequal: No Solution Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,85 unequal: No Solution Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,85 unequal: No Solution Moving to Node #0,2,0 Current State: 85:[83, 2], Operations: ['46-26=20', '20-18=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,85 unequal: No Solution Exploring Operation: 832=166, Resulting Numbers: [166] 166,85 unequal: No Solution Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[26, 46, 18, 83], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [18, 83, 20] Generated Node #0,2: 85:[18, 83, 20] Operation: 46-26=20 Moving to Node #0,2 Current State: 85:[18, 83, 20], Operations: ['46-26=20'] Exploring Operation: 20-18=2, Resulting Numbers: [83, 2] Generated Node #0,2,0: 85:[83, 2] Operation: 20-18=2 Moving to Node #0,2,0 Current State: 85:[83, 2], Operations: ['46-26=20', '20-18=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	0.965278	hs_5	mult_heuristic
[ 39, 70, 10, 17 ]	80	[ "70/10=7", "17*7=119", "119-39=80" ]	Current State: 80:[39, 70, 10, 17], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [39, 17, 7] Generated Node #2: [39, 17, 7] from Operation: 70/10=7 Current State: 80:[39, 17, 7], Operations: ['70/10=7'] Exploring Operation: 177=119, Resulting Numbers: [39, 119] Generated Node #3: [39, 119] from Operation: 177=119 Current State: 80:[39, 119], Operations: ['70/10=7', '17*7=119'] Exploring Operation: 119-39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached	4	Current State: 80:[39, 70, 10, 17], Operations: [] Exploring Operation: 70+10=80, Resulting Numbers: [39, 17, 80] Generated Node #0,0: 80:[39, 17, 80] Operation: 70+10=80 Exploring Operation: 70/10=7, Resulting Numbers: [39, 17, 7] Generated Node #0,1: 80:[39, 17, 7] Operation: 70/10=7 Moving to Node #0,0 Current State: 80:[39, 17, 80], Operations: ['70+10=80'] Exploring Operation: 39-17=22, Resulting Numbers: [80, 22] Generated Node #0,0,0: 80:[80, 22] Operation: 39-17=22 Exploring Operation: 80-39=41, Resulting Numbers: [17, 41] Generated Node #0,0,1: 80:[17, 41] Operation: 80-39=41 Moving to Node #0,1 Current State: 80:[39, 17, 7], Operations: ['70/10=7'] Exploring Operation: 17-7=10, Resulting Numbers: [39, 10] Generated Node #0,1,0: 80:[39, 10] Operation: 17-7=10 Exploring Operation: 39-17=22, Resulting Numbers: [7, 22] Generated Node #0,1,1: 80:[7, 22] Operation: 39-17=22 Moving to Node #0,1,0 Current State: 80:[39, 10], Operations: ['70/10=7', '17-7=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,80 unequal: No Solution Exploring Operation: 39-10=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,0,0 Current State: 80:[80, 22], Operations: ['70+10=80', '39-17=22'] Exploring Operation: 80+22=102, Resulting Numbers: [102] 102,80 unequal: No Solution Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[17, 41], Operations: ['70+10=80', '80-39=41'] Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 17+41=58, Resulting Numbers: [58] 58,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[7, 22], Operations: ['70/10=7', '39-17=22'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,80 unequal: No Solution Exploring Operation: 7+22=29, Resulting Numbers: [29] 29,80 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 9, 4, 93, 37 ]	23	[ "93-37=56", "56/4=14", "9+14=23" ]	Current State: 23:[9, 4, 93, 37], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [9, 4, 56] Generated Node #2: [9, 4, 56] from Operation: 93-37=56 Current State: 23:[9, 4, 56], Operations: ['93-37=56'] Exploring Operation: 56/4=14, Resulting Numbers: [9, 14] Generated Node #3: [9, 14] from Operation: 56/4=14 Current State: 23:[9, 14], Operations: ['93-37=56', '56/4=14'] Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[9, 4, 93, 37], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [9, 4, 56] Generated Node #0,0: 23:[9, 4, 56] Operation: 93-37=56 Exploring Operation: 9+4=13, Resulting Numbers: [93, 37, 13] Generated Node #0,1: 23:[93, 37, 13] Operation: 9+4=13 Exploring Operation: 93-4=89, Resulting Numbers: [9, 37, 89] Generated Node #0,2: 23:[9, 37, 89] Operation: 93-4=89 Exploring Operation: 37-9=28, Resulting Numbers: [4, 93, 28] Generated Node #0,3: 23:[4, 93, 28] Operation: 37-9=28 Exploring Operation: 93-9=84, Resulting Numbers: [4, 37, 84] Generated Node #0,4: 23:[4, 37, 84] Operation: 93-9=84 Moving to Node #0,0 Current State: 23:[9, 4, 56], Operations: ['93-37=56'] Exploring Operation: 9+4=13, Resulting Numbers: [56, 13] Generated Node #0,0,0: 23:[56, 13] Operation: 9+4=13 Exploring Operation: 56-9=47, Resulting Numbers: [4, 47] Generated Node #0,0,1: 23:[4, 47] Operation: 56-9=47 Exploring Operation: 56/4=14, Resulting Numbers: [9, 14] Generated Node #0,0,2: 23:[9, 14] Operation: 56/4=14 Exploring Operation: 56-4=52, Resulting Numbers: [9, 52] Generated Node #0,0,3: 23:[9, 52] Operation: 56-4=52 Exploring Operation: 94=36, Resulting Numbers: [56, 36] Generated Node #0,0,4: 23:[56, 36] Operation: 94=36 Moving to Node #0,2 Current State: 23:[9, 37, 89], Operations: ['93-4=89'] Exploring Operation: 89-9=80, Resulting Numbers: [37, 80] Generated Node #0,2,0: 23:[37, 80] Operation: 89-9=80 Exploring Operation: 37-9=28, Resulting Numbers: [89, 28] Generated Node #0,2,1: 23:[89, 28] Operation: 37-9=28 Exploring Operation: 89-37=52, Resulting Numbers: [9, 52] Generated Node #0,2,2: 23:[9, 52] Operation: 89-37=52 Exploring Operation: 9+89=98, Resulting Numbers: [37, 98] Generated Node #0,2,3: 23:[37, 98] Operation: 9+89=98 Exploring Operation: 9+37=46, Resulting Numbers: [89, 46] Generated Node #0,2,4: 23:[89, 46] Operation: 9+37=46 Moving to Node #0,4 Current State: 23:[4, 37, 84], Operations: ['93-9=84'] Exploring Operation: 84-37=47, Resulting Numbers: [4, 47] Generated Node #0,4,0: 23:[4, 47] Operation: 84-37=47 Exploring Operation: 37-4=33, Resulting Numbers: [84, 33] Generated Node #0,4,1: 23:[84, 33] Operation: 37-4=33 Exploring Operation: 4+37=41, Resulting Numbers: [84, 41] Generated Node #0,4,2: 23:[84, 41] Operation: 4+37=41 Exploring Operation: 84/4=21, Resulting Numbers: [37, 21] Generated Node #0,4,3: 23:[37, 21] Operation: 84/4=21 Exploring Operation: 84-4=80, Resulting Numbers: [37, 80] Generated Node #0,4,4: 23:[37, 80] Operation: 84-4=80 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 23:[37, 21], Operations: ['93-9=84', '84/4=21'] Exploring Operation: 37+21=58, Resulting Numbers: [58] 58,23 unequal: No Solution Exploring Operation: 3721=777, Resulting Numbers: [777] 777,23 unequal: No Solution Exploring Operation: 37-21=16, Resulting Numbers: [16] 16,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 23:[4, 47], Operations: ['93-9=84', '84-37=47'] Exploring Operation: 447=188, Resulting Numbers: [188] 188,23 unequal: No Solution Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,23 unequal: No Solution Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 23:[84, 33], Operations: ['93-9=84', '37-4=33'] Exploring Operation: 84+33=117, Resulting Numbers: [117] 117,23 unequal: No Solution Exploring Operation: 8433=2772, Resulting Numbers: [2772] 2772,23 unequal: No Solution Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 23:[37, 80], Operations: ['93-9=84', '84-4=80'] Exploring Operation: 37+80=117, Resulting Numbers: [117] 117,23 unequal: No Solution Exploring Operation: 3780=2960, Resulting Numbers: [2960] 2960,23 unequal: No Solution Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 23:[84, 41], Operations: ['93-9=84', '4+37=41'] Exploring Operation: 84-41=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 84+41=125, Resulting Numbers: [125] 125,23 unequal: No Solution Exploring Operation: 8441=3444, Resulting Numbers: [3444] 3444,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 23:[93, 37, 13], Operations: ['9+4=13'] Exploring Operation: 93+13=106, Resulting Numbers: [37, 106] Generated Node #0,1,0: 23:[37, 106] Operation: 93+13=106 Exploring Operation: 93-13=80, Resulting Numbers: [37, 80] Generated Node #0,1,1: 23:[37, 80] Operation: 93-13=80 Exploring Operation: 93-37=56, Resulting Numbers: [13, 56] Generated Node #0,1,2: 23:[13, 56] Operation: 93-37=56 Exploring Operation: 37+13=50, Resulting Numbers: [93, 50] Generated Node #0,1,3: 23:[93, 50] Operation: 37+13=50 Exploring Operation: 37-13=24, Resulting Numbers: [93, 24] Generated Node #0,1,4: 23:[93, 24] Operation: 37-13=24 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 23:[13, 56], Operations: ['9+4=13', '93-37=56'] Exploring Operation: 1356=728, Resulting Numbers: [728] 728,23 unequal: No Solution Exploring Operation: 56-13=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 13+56=69, Resulting Numbers: [69] 69,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 23:[37, 80], Operations: ['9+4=13', '93-13=80'] Exploring Operation: 3780=2960, Resulting Numbers: [2960] 2960,23 unequal: No Solution Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 37+80=117, Resulting Numbers: [117] 117,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 23:[93, 24], Operations: ['9+4=13', '37-13=24'] Exploring Operation: 93-24=69, Resulting Numbers: [69] 69,23 unequal: No Solution Exploring Operation: 93+24=117, Resulting Numbers: [117] 117,23 unequal: No Solution Exploring Operation: 9324=2232, Resulting Numbers: [2232] 2232,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 23:[37, 106], Operations: ['9+4=13', '93+13=106'] Exploring Operation: 37106=3922, Resulting Numbers: [3922] 3922,23 unequal: No Solution Exploring Operation: 37+106=143, Resulting Numbers: [143] 143,23 unequal: No Solution Exploring Operation: 106-37=69, Resulting Numbers: [69] 69,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 23:[93, 50], Operations: ['9+4=13', '37+13=50'] Exploring Operation: 93+50=143, Resulting Numbers: [143] 143,23 unequal: No Solution Exploring Operation: 93-50=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 9350=4650, Resulting Numbers: [4650] 4650,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 23:[4, 93, 28], Operations: ['37-9=28'] Exploring Operation: 93-28=65, Resulting Numbers: [4, 65] Generated Node #0,3,0: 23:[4, 65] Operation: 93-28=65 Exploring Operation: 4+28=32, Resulting Numbers: [93, 32] Generated Node #0,3,1: 23:[93, 32] Operation: 4+28=32 Exploring Operation: 93-4=89, Resulting Numbers: [28, 89] Generated Node #0,3,2: 23:[28, 89] Operation: 93-4=89 Exploring Operation: 4+93=97, Resulting Numbers: [28, 97] Generated Node #0,3,3: 23:[28, 97] Operation: 4+93=97 Exploring Operation: 28-4=24, Resulting Numbers: [93, 24] Generated Node #0,3,4: 23:[93, 24] Operation: 28-4=24 Moving to Node #0,0,2 Current State: 23:[9, 14], Operations: ['93-37=56', '56/4=14'] Exploring Operation: 14-9=5, Resulting Numbers: [5] 5,23 unequal: No Solution Exploring Operation: 9*14=126, Resulting Numbers: [126] 126,23 unequal: No Solution Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[9, 4, 93, 37], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [9, 4, 56] Generated Node #0,0: 23:[9, 4, 56] Operation: 93-37=56 Moving to Node #0,0 Current State: 23:[9, 4, 56], Operations: ['93-37=56'] Exploring Operation: 56/4=14, Resulting Numbers: [9, 14] Generated Node #0,0,2: 23:[9, 14] Operation: 56/4=14 Moving to Node #0,0,2 Current State: 23:[9, 14], Operations: ['93-37=56', '56/4=14'] Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	0.94184	hs_5	mult_heuristic
[ 10, 36, 31, 13 ]	80	[ "36-31=5", "13-5=8", "10*8=80" ]	Current State: 80:[10, 36, 31, 13], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [10, 13, 5] Generated Node #2: [10, 13, 5] from Operation: 36-31=5 Current State: 80:[10, 13, 5], Operations: ['36-31=5'] Exploring Operation: 13-5=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 13-5=8 Current State: 80:[10, 8], Operations: ['36-31=5', '13-5=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached	4	Current State: 80:[10, 36, 31, 13], Operations: [] Exploring Operation: 31-13=18, Resulting Numbers: [10, 36, 18] Generated Node #0,0: 80:[10, 36, 18] Operation: 31-13=18 Exploring Operation: 36-31=5, Resulting Numbers: [10, 13, 5] Generated Node #0,1: 80:[10, 13, 5] Operation: 36-31=5 Moving to Node #0,1 Current State: 80:[10, 13, 5], Operations: ['36-31=5'] Exploring Operation: 13-10=3, Resulting Numbers: [5, 3] Generated Node #0,1,0: 80:[5, 3] Operation: 13-10=3 Exploring Operation: 13-5=8, Resulting Numbers: [10, 8] Generated Node #0,1,1: 80:[10, 8] Operation: 13-5=8 Moving to Node #0,0 Current State: 80:[10, 36, 18], Operations: ['31-13=18'] Exploring Operation: 36-18=18, Resulting Numbers: [10, 18] Generated Node #0,0,0: 80:[10, 18] Operation: 36-18=18 Exploring Operation: 36/18=2, Resulting Numbers: [10, 2] Generated Node #0,0,1: 80:[10, 2] Operation: 36/18=2 Moving to Node #0,1,1 Current State: 80:[10, 8], Operations: ['36-31=5', '13-5=8'] Exploring Operation: 10-8=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 108=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[10, 36, 31, 13], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [10, 13, 5] Generated Node #0,1: 80:[10, 13, 5] Operation: 36-31=5 Moving to Node #0,1 Current State: 80:[10, 13, 5], Operations: ['36-31=5'] Exploring Operation: 13-5=8, Resulting Numbers: [10, 8] Generated Node #0,1,1: 80:[10, 8] Operation: 13-5=8 Moving to Node #0,1,1 Current State: 80:[10, 8], Operations: ['36-31=5', '13-5=8'] Exploring Operation: 108=80, Resulting Numbers: [80] 80,80 equal: Goal Reached	0.989583	hs_2	sum_heuristic
[ 95, 17, 45, 4 ]	88	[ "45-17=28", "28/4=7", "95-7=88" ]	Current State: 88:[95, 17, 45, 4], Operations: [] Exploring Operation: 45-17=28, Resulting Numbers: [95, 4, 28] Generated Node #2: [95, 4, 28] from Operation: 45-17=28 Current State: 88:[95, 4, 28], Operations: ['45-17=28'] Exploring Operation: 28/4=7, Resulting Numbers: [95, 7] Generated Node #3: [95, 7] from Operation: 28/4=7 Current State: 88:[95, 7], Operations: ['45-17=28', '28/4=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached	4	Current State: 88:[95, 17, 45, 4], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [45, 4, 78] Generated Node #0,0: 88:[45, 4, 78] Operation: 95-17=78 Exploring Operation: 95-4=91, Resulting Numbers: [17, 45, 91] Generated Node #0,1: 88:[17, 45, 91] Operation: 95-4=91 Exploring Operation: 17-4=13, Resulting Numbers: [95, 45, 13] Generated Node #0,2: 88:[95, 45, 13] Operation: 17-4=13 Exploring Operation: 95-45=50, Resulting Numbers: [17, 4, 50] Generated Node #0,3: 88:[17, 4, 50] Operation: 95-45=50 Exploring Operation: 17+4=21, Resulting Numbers: [95, 45, 21] Generated Node #0,4: 88:[95, 45, 21] Operation: 17+4=21 Start Sub Search at level 1: Moving to Node #0,1 Current State: 88:[17, 45, 91], Operations: ['95-4=91'] Exploring Operation: 91-17=74, Resulting Numbers: [45, 74] Generated Node #0,1,0: 88:[45, 74] Operation: 91-17=74 Exploring Operation: 91-45=46, Resulting Numbers: [17, 46] Generated Node #0,1,1: 88:[17, 46] Operation: 91-45=46 Exploring Operation: 17+45=62, Resulting Numbers: [91, 62] Generated Node #0,1,2: 88:[91, 62] Operation: 17+45=62 Exploring Operation: 45-17=28, Resulting Numbers: [91, 28] Generated Node #0,1,3: 88:[91, 28] Operation: 45-17=28 Exploring Operation: 17+91=108, Resulting Numbers: [45, 108] Generated Node #0,1,4: 88:[45, 108] Operation: 17+91=108 Moving to Node #0,1,1 Current State: 88:[17, 46], Operations: ['95-4=91', '91-45=46'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 1746=782, Resulting Numbers: [782] 782,88 unequal: No Solution Exploring Operation: 17+46=63, Resulting Numbers: [63] 63,88 unequal: No Solution Moving to Node #0,1,3 Current State: 88:[91, 28], Operations: ['95-4=91', '45-17=28'] Exploring Operation: 9128=2548, Resulting Numbers: [2548] 2548,88 unequal: No Solution Exploring Operation: 91+28=119, Resulting Numbers: [119] 119,88 unequal: No Solution Exploring Operation: 91-28=63, Resulting Numbers: [63] 63,88 unequal: No Solution Moving to Node #0,1,0 Current State: 88:[45, 74], Operations: ['95-4=91', '91-17=74'] Exploring Operation: 45+74=119, Resulting Numbers: [119] 119,88 unequal: No Solution Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 4574=3330, Resulting Numbers: [3330] 3330,88 unequal: No Solution Moving to Node #0,1,2 Current State: 88:[91, 62], Operations: ['95-4=91', '17+45=62'] Exploring Operation: 9162=5642, Resulting Numbers: [5642] 5642,88 unequal: No Solution Exploring Operation: 91-62=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 91+62=153, Resulting Numbers: [153] 153,88 unequal: No Solution Moving to Node #0,1,4 Current State: 88:[45, 108], Operations: ['95-4=91', '17+91=108'] Exploring Operation: 45+108=153, Resulting Numbers: [153] 153,88 unequal: No Solution Exploring Operation: 45108=4860, Resulting Numbers: [4860] 4860,88 unequal: No Solution Exploring Operation: 108-45=63, Resulting Numbers: [63] 63,88 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 88:[95, 45, 21], Operations: ['17+4=21'] Exploring Operation: 95-21=74, Resulting Numbers: [45, 74] Generated Node #0,4,0: 88:[45, 74] Operation: 95-21=74 Exploring Operation: 45+21=66, Resulting Numbers: [95, 66] Generated Node #0,4,1: 88:[95, 66] Operation: 45+21=66 Exploring Operation: 45-21=24, Resulting Numbers: [95, 24] Generated Node #0,4,2: 88:[95, 24] Operation: 45-21=24 Exploring Operation: 95+21=116, Resulting Numbers: [45, 116] Generated Node #0,4,3: 88:[45, 116] Operation: 95+21=116 Exploring Operation: 95-45=50, Resulting Numbers: [21, 50] Generated Node #0,4,4: 88:[21, 50] Operation: 95-45=50 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 88:[21, 50], Operations: ['17+4=21', '95-45=50'] Exploring Operation: 21+50=71, Resulting Numbers: [71] 71,88 unequal: No Solution Exploring Operation: 50-21=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 2150=1050, Resulting Numbers: [1050] 1050,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 88:[95, 24], Operations: ['17+4=21', '45-21=24'] Exploring Operation: 95-24=71, Resulting Numbers: [71] 71,88 unequal: No Solution Exploring Operation: 9524=2280, Resulting Numbers: [2280] 2280,88 unequal: No Solution Exploring Operation: 95+24=119, Resulting Numbers: [119] 119,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 88:[45, 74], Operations: ['17+4=21', '95-21=74'] Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 45+74=119, Resulting Numbers: [119] 119,88 unequal: No Solution Exploring Operation: 4574=3330, Resulting Numbers: [3330] 3330,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 88:[95, 66], Operations: ['17+4=21', '45+21=66'] Exploring Operation: 95-66=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 9566=6270, Resulting Numbers: [6270] 6270,88 unequal: No Solution Exploring Operation: 95+66=161, Resulting Numbers: [161] 161,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 88:[45, 116], Operations: ['17+4=21', '95+21=116'] Exploring Operation: 45+116=161, Resulting Numbers: [161] 161,88 unequal: No Solution Exploring Operation: 45116=5220, Resulting Numbers: [5220] 5220,88 unequal: No Solution Exploring Operation: 116-45=71, Resulting Numbers: [71] 71,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 88:[95, 45, 13], Operations: ['17-4=13'] Exploring Operation: 45-13=32, Resulting Numbers: [95, 32] Generated Node #0,2,0: 88:[95, 32] Operation: 45-13=32 Exploring Operation: 95-45=50, Resulting Numbers: [13, 50] Generated Node #0,2,1: 88:[13, 50] Operation: 95-45=50 Exploring Operation: 95-13=82, Resulting Numbers: [45, 82] Generated Node #0,2,2: 88:[45, 82] Operation: 95-13=82 Exploring Operation: 95+13=108, Resulting Numbers: [45, 108] Generated Node #0,2,3: 88:[45, 108] Operation: 95+13=108 Exploring Operation: 45+13=58, Resulting Numbers: [95, 58] Generated Node #0,2,4: 88:[95, 58] Operation: 45+13=58 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 88:[45, 82], Operations: ['17-4=13', '95-13=82'] Exploring Operation: 45+82=127, Resulting Numbers: [127] 127,88 unequal: No Solution Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,88 unequal: No Solution Exploring Operation: 4582=3690, Resulting Numbers: [3690] 3690,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 88:[13, 50], Operations: ['17-4=13', '95-45=50'] Exploring Operation: 1350=650, Resulting Numbers: [650] 650,88 unequal: No Solution Exploring Operation: 13+50=63, Resulting Numbers: [63] 63,88 unequal: No Solution Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 88:[95, 32], Operations: ['17-4=13', '45-13=32'] Exploring Operation: 95-32=63, Resulting Numbers: [63] 63,88 unequal: No Solution Exploring Operation: 9532=3040, Resulting Numbers: [3040] 3040,88 unequal: No Solution Exploring Operation: 95+32=127, Resulting Numbers: [127] 127,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 88:[45, 108], Operations: ['17-4=13', '95+13=108'] Exploring Operation: 45+108=153, Resulting Numbers: [153] 153,88 unequal: No Solution Exploring Operation: 45108=4860, Resulting Numbers: [4860] 4860,88 unequal: No Solution Exploring Operation: 108-45=63, Resulting Numbers: [63] 63,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 88:[95, 58], Operations: ['17-4=13', '45+13=58'] Exploring Operation: 95-58=37, Resulting Numbers: [37] 37,88 unequal: No Solution Exploring Operation: 9558=5510, Resulting Numbers: [5510] 5510,88 unequal: No Solution Exploring Operation: 95+58=153, Resulting Numbers: [153] 153,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 88:[45, 4, 78], Operations: ['95-17=78'] Exploring Operation: 45+4=49, Resulting Numbers: [78, 49] Generated Node #0,0,0: 88:[78, 49] Operation: 45+4=49 Exploring Operation: 78-4=74, Resulting Numbers: [45, 74] Generated Node #0,0,1: 88:[45, 74] Operation: 78-4=74 Exploring Operation: 4+78=82, Resulting Numbers: [45, 82] Generated Node #0,0,2: 88:[45, 82] Operation: 4+78=82 Exploring Operation: 78-45=33, Resulting Numbers: [4, 33] Generated Node #0,0,3: 88:[4, 33] Operation: 78-45=33 Exploring Operation: 45-4=41, Resulting Numbers: [78, 41] Generated Node #0,0,4: 88:[78, 41] Operation: 45-4=41 Moving to Node #0,0,2 Current State: 88:[45, 82], Operations: ['95-17=78', '4+78=82'] Exploring Operation: 45+82=127, Resulting Numbers: [127] 127,88 unequal: No Solution Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,88 unequal: No Solution Exploring Operation: 4582=3690, Resulting Numbers: [3690] 3690,88 unequal: No Solution Moving to Node #0,0,3 Current State: 88:[4, 33], Operations: ['95-17=78', '78-45=33'] Exploring Operation: 4+33=37, Resulting Numbers: [37] 37,88 unequal: No Solution Exploring Operation: 433=132, Resulting Numbers: [132] 132,88 unequal: No Solution Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,88 unequal: No Solution Moving to Node #0,0,4 Current State: 88:[78, 41], Operations: ['95-17=78', '45-4=41'] Exploring Operation: 7841=3198, Resulting Numbers: [3198] 3198,88 unequal: No Solution Exploring Operation: 78-41=37, Resulting Numbers: [37] 37,88 unequal: No Solution Exploring Operation: 78+41=119, Resulting Numbers: [119] 119,88 unequal: No Solution Moving to Node #0,0,0 Current State: 88:[78, 49], Operations: ['95-17=78', '45+4=49'] Exploring Operation: 78+49=127, Resulting Numbers: [127] 127,88 unequal: No Solution Exploring Operation: 7849=3822, Resulting Numbers: [3822] 3822,88 unequal: No Solution Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,88 unequal: No Solution Moving to Node #0,0,1 Current State: 88:[45, 74], Operations: ['95-17=78', '78-4=74'] Exploring Operation: 45+74=119, Resulting Numbers: [119] 119,88 unequal: No Solution Exploring Operation: 4574=3330, Resulting Numbers: [3330] 3330,88 unequal: No Solution Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,88 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 88:[17, 4, 50], Operations: ['95-45=50'] Exploring Operation: 50-4=46, Resulting Numbers: [17, 46] Generated Node #0,3,0: 88:[17, 46] Operation: 50-4=46 Exploring Operation: 17-4=13, Resulting Numbers: [50, 13] Generated Node #0,3,1: 88:[50, 13] Operation: 17-4=13 Exploring Operation: 4+50=54, Resulting Numbers: [17, 54] Generated Node #0,3,2: 88:[17, 54] Operation: 4+50=54 Exploring Operation: 17+4=21, Resulting Numbers: [50, 21] Generated Node #0,3,3: 88:[50, 21] Operation: 17+4=21 Exploring Operation: 50-17=33, Resulting Numbers: [4, 33] Generated Node #0,3,4: 88:[4, 33] Operation: 50-17=33 Moving to Node #0,3,0 Current State: 88:[17, 46], Operations: ['95-45=50', '50-4=46'] Exploring Operation: 1746=782, Resulting Numbers: [782] 782,88 unequal: No Solution Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 17+46=63, Resulting Numbers: [63] 63,88 unequal: No Solution Moving to Node #0,3,3 Current State: 88:[50, 21], Operations: ['95-45=50', '17+4=21'] Exploring Operation: 50-21=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 50+21=71, Resulting Numbers: [71] 71,88 unequal: No Solution Exploring Operation: 5021=1050, Resulting Numbers: [1050] 1050,88 unequal: No Solution Moving to Node #0,3,1 Current State: 88:[50, 13], Operations: ['95-45=50', '17-4=13'] Exploring Operation: 5013=650, Resulting Numbers: [650] 650,88 unequal: No Solution Exploring Operation: 50+13=63, Resulting Numbers: [63] 63,88 unequal: No Solution Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,88 unequal: No Solution Moving to Node #0,3,4 Current State: 88:[4, 33], Operations: ['95-45=50', '50-17=33'] Exploring Operation: 4+33=37, Resulting Numbers: [37] 37,88 unequal: No Solution Exploring Operation: 433=132, Resulting Numbers: [132] 132,88 unequal: No Solution Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,88 unequal: No Solution Moving to Node #0,3,2 Current State: 88:[17, 54], Operations: ['95-45=50', '4+50=54'] Exploring Operation: 17+54=71, Resulting Numbers: [71] 71,88 unequal: No Solution Exploring Operation: 17*54=918, Resulting Numbers: [918] 918,88 unequal: No Solution Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,88 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	sum_heuristic
[ 10, 24, 76, 80 ]	56	[ "24-10=14", "80-76=4", "14*4=56" ]	Current State: 56:[10, 24, 76, 80], Operations: [] Exploring Operation: 24-10=14, Resulting Numbers: [76, 80, 14] Generated Node #2: [76, 80, 14] from Operation: 24-10=14 Current State: 56:[76, 80, 14], Operations: ['24-10=14'] Exploring Operation: 80-76=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 80-76=4 Current State: 56:[14, 4], Operations: ['24-10=14', '80-76=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	4	Current State: 56:[10, 24, 76, 80], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [10, 76, 56] Generated Node #0,0: 56:[10, 76, 56] Operation: 80-24=56 Exploring Operation: 80-76=4, Resulting Numbers: [10, 24, 4] Generated Node #0,1: 56:[10, 24, 4] Operation: 80-76=4 Exploring Operation: 80/10=8, Resulting Numbers: [24, 76, 8] Generated Node #0,2: 56:[24, 76, 8] Operation: 80/10=8 Exploring Operation: 76-24=52, Resulting Numbers: [10, 80, 52] Generated Node #0,3: 56:[10, 80, 52] Operation: 76-24=52 Start Sub Search at level 1: Moving to Node #0,1 Current State: 56:[10, 24, 4], Operations: ['80-76=4'] Exploring Operation: 10+4=14, Resulting Numbers: [24, 14] Generated Node #0,1,0: 56:[24, 14] Operation: 10+4=14 Exploring Operation: 24-10=14, Resulting Numbers: [4, 14] Generated Node #0,1,1: 56:[4, 14] Operation: 24-10=14 Exploring Operation: 24+4=28, Resulting Numbers: [10, 28] Generated Node #0,1,2: 56:[10, 28] Operation: 24+4=28 Exploring Operation: 24/4=6, Resulting Numbers: [10, 6] Generated Node #0,1,3: 56:[10, 6] Operation: 24/4=6 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 56:[4, 14], Operations: ['80-76=4', '24-10=14'] Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,56 unequal: No Solution Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,56 unequal: No Solution Exploring Operation: 414=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[10, 24, 76, 80], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [10, 24, 4] Generated Node #0,1: 56:[10, 24, 4] Operation: 80-76=4 Moving to Node #0,1 Current State: 56:[10, 24, 4], Operations: ['80-76=4'] Exploring Operation: 24-10=14, Resulting Numbers: [4, 14] Generated Node #0,1,1: 56:[4, 14] Operation: 24-10=14 Moving to Node #0,1,1 Current State: 56:[4, 14], Operations: ['80-76=4', '24-10=14'] Exploring Operation: 414=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986979	hs_4	mult_heuristic
[ 27, 29, 18, 48 ]	57	[ "29-27=2", "18/2=9", "48+9=57" ]	Current State: 57:[27, 29, 18, 48], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [18, 48, 2] Generated Node #2: [18, 48, 2] from Operation: 29-27=2 Current State: 57:[18, 48, 2], Operations: ['29-27=2'] Exploring Operation: 18/2=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 18/2=9 Current State: 57:[48, 9], Operations: ['29-27=2', '18/2=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached	4	Current State: 57:[27, 29, 18, 48], Operations: [] Exploring Operation: 48-29=19, Resulting Numbers: [27, 18, 19] Generated Node #0,0: 57:[27, 18, 19] Operation: 48-29=19 Exploring Operation: 27+29=56, Resulting Numbers: [18, 48, 56] Generated Node #0,1: 57:[18, 48, 56] Operation: 27+29=56 Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[27, 18, 19], Operations: ['48-29=19'] Exploring Operation: 27-19=8, Resulting Numbers: [18, 8] Generated Node #0,0,0: 57:[18, 8] Operation: 27-19=8 Exploring Operation: 27-18=9, Resulting Numbers: [19, 9] Generated Node #0,0,1: 57:[19, 9] Operation: 27-18=9 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 57:[18, 8], Operations: ['48-29=19', '27-19=8'] Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,57 unequal: No Solution Exploring Operation: 18+8=26, Resulting Numbers: [26] 26,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 57:[19, 9], Operations: ['48-29=19', '27-18=9'] Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,57 unequal: No Solution Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[18, 48, 56], Operations: ['27+29=56'] Exploring Operation: 56-48=8, Resulting Numbers: [18, 8] Generated Node #0,1,0: 57:[18, 8] Operation: 56-48=8 Exploring Operation: 18+48=66, Resulting Numbers: [56, 66] Generated Node #0,1,1: 57:[56, 66] Operation: 18+48=66 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 57:[18, 8], Operations: ['27+29=56', '56-48=8'] Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,57 unequal: No Solution Exploring Operation: 18+8=26, Resulting Numbers: [26] 26,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 57:[56, 66], Operations: ['27+29=56', '18+48=66'] Exploring Operation: 56+66=122, Resulting Numbers: [122] 122,57 unequal: No Solution Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 22, 72, 3, 21 ]	68	[ "72-22=50", "21-3=18", "50+18=68" ]	Current State: 68:[22, 72, 3, 21], Operations: [] Exploring Operation: 72-22=50, Resulting Numbers: [3, 21, 50] Generated Node #2: [3, 21, 50] from Operation: 72-22=50 Current State: 68:[3, 21, 50], Operations: ['72-22=50'] Exploring Operation: 21-3=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 21-3=18 Current State: 68:[50, 18], Operations: ['72-22=50', '21-3=18'] Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	4	Current State: 68:[22, 72, 3, 21], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [72, 3, 1] Generated Node #0,0: 68:[72, 3, 1] Operation: 22-21=1 Moving to Node #0,0 Current State: 68:[72, 3, 1], Operations: ['22-21=1'] Exploring Operation: 72-3=69, Resulting Numbers: [1, 69] Generated Node #0,0,0: 68:[1, 69] Operation: 72-3=69 Moving to Node #0,0,0 Current State: 68:[1, 69], Operations: ['22-21=1', '72-3=69'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[22, 72, 3, 21], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [72, 3, 1] Generated Node #0,0: 68:[72, 3, 1] Operation: 22-21=1 Moving to Node #0,0 Current State: 68:[72, 3, 1], Operations: ['22-21=1'] Exploring Operation: 72-3=69, Resulting Numbers: [1, 69] Generated Node #0,0,0: 68:[1, 69] Operation: 72-3=69 Moving to Node #0,0,0 Current State: 68:[1, 69], Operations: ['22-21=1', '72-3=69'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached	0.993924	hs_1	sum_heuristic
[ 4, 24, 64, 4 ]	88	[ "4+24=28", "64-4=60", "28+60=88" ]	Current State: 88:[4, 24, 64, 4], Operations: [] Exploring Operation: 4+24=28, Resulting Numbers: [64, 28] Generated Node #2: [64, 28] from Operation: 4+24=28 Current State: 88:[64, 28], Operations: ['4+24=28'] Exploring Operation: 64-4=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 64-4=60 Current State: 88:[28, 60], Operations: ['4+24=28', '64-4=60'] Exploring Operation: 28+60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached	4	Current State: 88:[4, 24, 64, 4], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [4, 24, 16] Generated Node #0,0: 88:[4, 24, 16] Operation: 64/4=16 Exploring Operation: 64-4=60, Resulting Numbers: [24, 4, 60] Generated Node #0,1: 88:[24, 4, 60] Operation: 64-4=60 Exploring Operation: 64/4=16, Resulting Numbers: [24, 4, 16] Generated Node #0,2: 88:[24, 4, 16] Operation: 64/4=16 Exploring Operation: 64-24=40, Resulting Numbers: [4, 4, 40] Generated Node #0,3: 88:[4, 4, 40] Operation: 64-24=40 Exploring Operation: 24+64=88, Resulting Numbers: [4, 4, 88] Generated Node #0,4: 88:[4, 4, 88] Operation: 24+64=88 Moving to Node #0,4 Current State: 88:[4, 4, 88], Operations: ['24+64=88'] Exploring Operation: 4-4=0, Resulting Numbers: [88, 0] Generated Node #0,4,0: 88:[88, 0] Operation: 4-4=0 Exploring Operation: 4+4=8, Resulting Numbers: [88, 8] Generated Node #0,4,1: 88:[88, 8] Operation: 4+4=8 Exploring Operation: 4/4=1, Resulting Numbers: [88, 1] Generated Node #0,4,2: 88:[88, 1] Operation: 4/4=1 Exploring Operation: 88/4=22, Resulting Numbers: [4, 22] Generated Node #0,4,3: 88:[4, 22] Operation: 88/4=22 Exploring Operation: 88/4=22, Resulting Numbers: [4, 22] Generated Node #0,4,4: 88:[4, 22] Operation: 88/4=22 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 88:[88, 8], Operations: ['24+64=88', '4+4=8'] Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,88 unequal: No Solution Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,88 unequal: No Solution Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,88 unequal: No Solution Exploring Operation: 888=704, Resulting Numbers: [704] 704,88 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 88:[4, 22], Operations: ['24+64=88', '88/4=22'] Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,88 unequal: No Solution Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,88 unequal: No Solution Exploring Operation: 422=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[4, 24, 64, 4], Operations: [] Exploring Operation: 24+64=88, Resulting Numbers: [4, 4, 88] Generated Node #0,4: 88:[4, 4, 88] Operation: 24+64=88 Moving to Node #0,4 Current State: 88:[4, 4, 88], Operations: ['24+64=88'] Exploring Operation: 88/4=22, Resulting Numbers: [4, 22] Generated Node #0,4,3: 88:[4, 22] Operation: 88/4=22 Moving to Node #0,4,3 Current State: 88:[4, 22], Operations: ['24+64=88', '88/4=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 1	0.981771	hs_5	mult_heuristic
[ 97, 85, 89, 38 ]	55	[ "97+85=182", "89+38=127", "182-127=55" ]	Current State: 55:[97, 85, 89, 38], Operations: [] Exploring Operation: 97+85=182, Resulting Numbers: [89, 38, 182] Generated Node #2: [89, 38, 182] from Operation: 97+85=182 Current State: 55:[89, 38, 182], Operations: ['97+85=182'] Exploring Operation: 89+38=127, Resulting Numbers: [182, 127] Generated Node #3: [182, 127] from Operation: 89+38=127 Current State: 55:[182, 127], Operations: ['97+85=182', '89+38=127'] Exploring Operation: 182-127=55, Resulting Numbers: [55] 55,55 equal: Goal Reached	4	Current State: 55:[97, 85, 89, 38], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [97, 38, 4] Generated Node #0,0: 55:[97, 38, 4] Operation: 89-85=4 Exploring Operation: 97-89=8, Resulting Numbers: [85, 38, 8] Generated Node #0,1: 55:[85, 38, 8] Operation: 97-89=8 Exploring Operation: 97-38=59, Resulting Numbers: [85, 89, 59] Generated Node #0,2: 55:[85, 89, 59] Operation: 97-38=59 Exploring Operation: 97-85=12, Resulting Numbers: [89, 38, 12] Generated Node #0,3: 55:[89, 38, 12] Operation: 97-85=12 Moving to Node #0,1 Current State: 55:[85, 38, 8], Operations: ['97-89=8'] Exploring Operation: 38+8=46, Resulting Numbers: [85, 46] Generated Node #0,1,0: 55:[85, 46] Operation: 38+8=46 Exploring Operation: 85-38=47, Resulting Numbers: [8, 47] Generated Node #0,1,1: 55:[8, 47] Operation: 85-38=47 Exploring Operation: 38-8=30, Resulting Numbers: [85, 30] Generated Node #0,1,2: 55:[85, 30] Operation: 38-8=30 Exploring Operation: 85-8=77, Resulting Numbers: [38, 77] Generated Node #0,1,3: 55:[38, 77] Operation: 85-8=77 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 55:[8, 47], Operations: ['97-89=8', '85-38=47'] Exploring Operation: 8+47=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[97, 85, 89, 38], Operations: [] Exploring Operation: 97-89=8, Resulting Numbers: [85, 38, 8] Generated Node #0,1: 55:[85, 38, 8] Operation: 97-89=8 Moving to Node #0,1 Current State: 55:[85, 38, 8], Operations: ['97-89=8'] Exploring Operation: 85-38=47, Resulting Numbers: [8, 47] Generated Node #0,1,1: 55:[8, 47] Operation: 85-38=47 Moving to Node #0,1,1 Current State: 55:[8, 47], Operations: ['97-89=8', '85-38=47'] Exploring Operation: 8+47=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Exit Sub Search at level 1	0.988715	hs_4	sum_heuristic
[ 46, 6, 52, 92 ]	75	[ "46+92=138", "138/6=23", "52+23=75" ]	Current State: 75:[46, 6, 52, 92], Operations: [] Exploring Operation: 46+92=138, Resulting Numbers: [6, 52, 138] Generated Node #2: [6, 52, 138] from Operation: 46+92=138 Current State: 75:[6, 52, 138], Operations: ['46+92=138'] Exploring Operation: 138/6=23, Resulting Numbers: [52, 23] Generated Node #3: [52, 23] from Operation: 138/6=23 Current State: 75:[52, 23], Operations: ['46+92=138', '138/6=23'] Exploring Operation: 52+23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached	4	Current State: 75:[46, 6, 52, 92], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [6, 92, 6] Generated Node #0,0: 75:[6, 92, 6] Operation: 52-46=6 Exploring Operation: 92/46=2, Resulting Numbers: [6, 52, 2] Generated Node #0,1: 75:[6, 52, 2] Operation: 92/46=2 Moving to Node #0,0 Current State: 75:[6, 92, 6], Operations: ['52-46=6'] Exploring Operation: 92-6=86, Resulting Numbers: [6, 86] Generated Node #0,0,0: 75:[6, 86] Operation: 92-6=86 Exploring Operation: 92-6=86, Resulting Numbers: [6, 86] Generated Node #0,0,1: 75:[6, 86] Operation: 92-6=86 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[6, 86], Operations: ['52-46=6', '92-6=86'] Exploring Operation: 6+86=92, Resulting Numbers: [92] 92,75 unequal: No Solution Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 75:[6, 86], Operations: ['52-46=6', '92-6=86'] Exploring Operation: 6+86=92, Resulting Numbers: [92] 92,75 unequal: No Solution Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 75:[6, 52, 2], Operations: ['92/46=2'] Exploring Operation: 6+52=58, Resulting Numbers: [2, 58] Generated Node #0,1,0: 75:[2, 58] Operation: 6+52=58 Exploring Operation: 52/2=26, Resulting Numbers: [6, 26] Generated Node #0,1,1: 75:[6, 26] Operation: 52/2=26 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 75:[6, 26], Operations: ['92/46=2', '52/2=26'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,75 unequal: No Solution Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 75:[2, 58], Operations: ['92/46=2', '6+52=58'] Exploring Operation: 2+58=60, Resulting Numbers: [60] 60,75 unequal: No Solution Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 2, 88, 61, 33 ]	39	[ "2*33=66", "88-61=27", "66-27=39" ]	Current State: 39:[2, 88, 61, 33], Operations: [] Exploring Operation: 233=66, Resulting Numbers: [88, 61, 66] Generated Node #2: [88, 61, 66] from Operation: 233=66 Current State: 39:[88, 61, 66], Operations: ['233=66'] Exploring Operation: 88-61=27, Resulting Numbers: [66, 27] Generated Node #3: [66, 27] from Operation: 88-61=27 Current State: 39:[66, 27], Operations: ['233=66', '88-61=27'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached	4	Current State: 39:[2, 88, 61, 33], Operations: [] Exploring Operation: 88-33=55, Resulting Numbers: [2, 61, 55] Generated Node #0,0: 39:[2, 61, 55] Operation: 88-33=55 Exploring Operation: 88/2=44, Resulting Numbers: [61, 33, 44] Generated Node #0,1: 39:[61, 33, 44] Operation: 88/2=44 Exploring Operation: 88-61=27, Resulting Numbers: [2, 33, 27] Generated Node #0,2: 39:[2, 33, 27] Operation: 88-61=27 Exploring Operation: 61-33=28, Resulting Numbers: [2, 88, 28] Generated Node #0,3: 39:[2, 88, 28] Operation: 61-33=28 Moving to Node #0,2 Current State: 39:[2, 33, 27], Operations: ['88-61=27'] Exploring Operation: 27-2=25, Resulting Numbers: [33, 25] Generated Node #0,2,0: 39:[33, 25] Operation: 27-2=25 Exploring Operation: 33-27=6, Resulting Numbers: [2, 6] Generated Node #0,2,1: 39:[2, 6] Operation: 33-27=6 Exploring Operation: 2+33=35, Resulting Numbers: [27, 35] Generated Node #0,2,2: 39:[27, 35] Operation: 2+33=35 Exploring Operation: 2+27=29, Resulting Numbers: [33, 29] Generated Node #0,2,3: 39:[33, 29] Operation: 2+27=29 Moving to Node #0,1 Current State: 39:[61, 33, 44], Operations: ['88/2=44'] Exploring Operation: 61-33=28, Resulting Numbers: [44, 28] Generated Node #0,1,0: 39:[44, 28] Operation: 61-33=28 Exploring Operation: 61-44=17, Resulting Numbers: [33, 17] Generated Node #0,1,1: 39:[33, 17] Operation: 61-44=17 Exploring Operation: 61+33=94, Resulting Numbers: [44, 94] Generated Node #0,1,2: 39:[44, 94] Operation: 61+33=94 Exploring Operation: 44-33=11, Resulting Numbers: [61, 11] Generated Node #0,1,3: 39:[61, 11] Operation: 44-33=11 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 39:[33, 17], Operations: ['88/2=44', '61-44=17'] Exploring Operation: 33+17=50, Resulting Numbers: [50] 50,39 unequal: No Solution Exploring Operation: 3317=561, Resulting Numbers: [561] 561,39 unequal: No Solution Exploring Operation: 33-17=16, Resulting Numbers: [16] 16,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[44, 28], Operations: ['88/2=44', '61-33=28'] Exploring Operation: 44+28=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 4428=1232, Resulting Numbers: [1232] 1232,39 unequal: No Solution Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 39:[61, 11], Operations: ['88/2=44', '44-33=11'] Exploring Operation: 61+11=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 61-11=50, Resulting Numbers: [50] 50,39 unequal: No Solution Exploring Operation: 6111=671, Resulting Numbers: [671] 671,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 39:[44, 94], Operations: ['88/2=44', '61+33=94'] Exploring Operation: 44+94=138, Resulting Numbers: [138] 138,39 unequal: No Solution Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,39 unequal: No Solution Exploring Operation: 4494=4136, Resulting Numbers: [4136] 4136,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 39:[2, 61, 55], Operations: ['88-33=55'] Exploring Operation: 61-55=6, Resulting Numbers: [2, 6] Generated Node #0,0,0: 39:[2, 6] Operation: 61-55=6 Exploring Operation: 61-2=59, Resulting Numbers: [55, 59] Generated Node #0,0,1: 39:[55, 59] Operation: 61-2=59 Exploring Operation: 55-2=53, Resulting Numbers: [61, 53] Generated Node #0,0,2: 39:[61, 53] Operation: 55-2=53 Exploring Operation: 2+61=63, Resulting Numbers: [55, 63] Generated Node #0,0,3: 39:[55, 63] Operation: 2+61=63 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 39:[2, 6], Operations: ['88-33=55', '61-55=6'] Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,39 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,39 unequal: No Solution Exploring Operation: 26=12, Resulting Numbers: [12] 12,39 unequal: No Solution Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 39:[55, 59], Operations: ['88-33=55', '61-2=59'] Exploring Operation: 5559=3245, Resulting Numbers: [3245] 3245,39 unequal: No Solution Exploring Operation: 55+59=114, Resulting Numbers: [114] 114,39 unequal: No Solution Exploring Operation: 59-55=4, Resulting Numbers: [4] 4,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 39:[61, 53], Operations: ['88-33=55', '55-2=53'] Exploring Operation: 61-53=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 6153=3233, Resulting Numbers: [3233] 3233,39 unequal: No Solution Exploring Operation: 61+53=114, Resulting Numbers: [114] 114,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 39:[55, 63], Operations: ['88-33=55', '2+61=63'] Exploring Operation: 55+63=118, Resulting Numbers: [118] 118,39 unequal: No Solution Exploring Operation: 5563=3465, Resulting Numbers: [3465] 3465,39 unequal: No Solution Exploring Operation: 63-55=8, Resulting Numbers: [8] 8,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 39:[2, 88, 28], Operations: ['61-33=28'] Exploring Operation: 88-2=86, Resulting Numbers: [28, 86] Generated Node #0,3,0: 39:[28, 86] Operation: 88-2=86 Exploring Operation: 28/2=14, Resulting Numbers: [88, 14] Generated Node #0,3,1: 39:[88, 14] Operation: 28/2=14 Exploring Operation: 88-28=60, Resulting Numbers: [2, 60] Generated Node #0,3,2: 39:[2, 60] Operation: 88-28=60 Exploring Operation: 88/2=44, Resulting Numbers: [28, 44] Generated Node #0,3,3: 39:[28, 44] Operation: 88/2=44 Moving to Node #0,2,1 Current State: 39:[2, 6], Operations: ['88-61=27', '33-27=6'] Exploring Operation: 26=12, Resulting Numbers: [12] 12,39 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,39 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,39 unequal: No Solution Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,39 unequal: No Solution Moving to Node #0,2,3 Current State: 39:[33, 29], Operations: ['88-61=27', '2+27=29'] Exploring Operation: 33-29=4, Resulting Numbers: [4] 4,39 unequal: No Solution Exploring Operation: 33+29=62, Resulting Numbers: [62] 62,39 unequal: No Solution Exploring Operation: 3329=957, Resulting Numbers: [957] 957,39 unequal: No Solution Moving to Node #0,2,2 Current State: 39:[27, 35], Operations: ['88-61=27', '2+33=35'] Exploring Operation: 35-27=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 2735=945, Resulting Numbers: [945] 945,39 unequal: No Solution Exploring Operation: 27+35=62, Resulting Numbers: [62] 62,39 unequal: No Solution Moving to Node #0,3,3 Current State: 39:[28, 44], Operations: ['61-33=28', '88/2=44'] Exploring Operation: 28+44=72, Resulting Numbers: [72] 72,39 unequal: No Solution Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,39 unequal: No Solution Exploring Operation: 2844=1232, Resulting Numbers: [1232] 1232,39 unequal: No Solution Moving to Node #0,2,0 Current State: 39:[33, 25], Operations: ['88-61=27', '27-2=25'] Exploring Operation: 33-25=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 3325=825, Resulting Numbers: [825] 825,39 unequal: No Solution Exploring Operation: 33+25=58, Resulting Numbers: [58] 58,39 unequal: No Solution Moving to Node #0,3,2 Current State: 39:[2, 60], Operations: ['61-33=28', '88-28=60'] Exploring Operation: 260=120, Resulting Numbers: [120] 120,39 unequal: No Solution Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 2+60=62, Resulting Numbers: [62] 62,39 unequal: No Solution Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,39 unequal: No Solution Moving to Node #0,3,1 Current State: 39:[88, 14], Operations: ['61-33=28', '28/2=14'] Exploring Operation: 88+14=102, Resulting Numbers: [102] 102,39 unequal: No Solution Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,39 unequal: No Solution Exploring Operation: 8814=1232, Resulting Numbers: [1232] 1232,39 unequal: No Solution Moving to Node #0,3,0 Current State: 39:[28, 86], Operations: ['61-33=28', '88-2=86'] Exploring Operation: 2886=2408, Resulting Numbers: [2408] 2408,39 unequal: No Solution Exploring Operation: 86-28=58, Resulting Numbers: [58] 58,39 unequal: No Solution Exploring Operation: 28+86=114, Resulting Numbers: [114] 114,39 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 24, 70, 64, 67 ]	37	[ "24+70=94", "64+67=131", "131-94=37" ]	Current State: 37:[24, 70, 64, 67], Operations: [] Exploring Operation: 24+70=94, Resulting Numbers: [64, 67, 94] Generated Node #2: [64, 67, 94] from Operation: 24+70=94 Current State: 37:[64, 67, 94], Operations: ['24+70=94'] Exploring Operation: 64+67=131, Resulting Numbers: [94, 131] Generated Node #3: [94, 131] from Operation: 64+67=131 Current State: 37:[94, 131], Operations: ['24+70=94', '64+67=131'] Exploring Operation: 131-94=37, Resulting Numbers: [37] 37,37 equal: Goal Reached	4	Current State: 37:[24, 70, 64, 67], Operations: [] Exploring Operation: 70-24=46, Resulting Numbers: [64, 67, 46] Generated Node #0,0: 37:[64, 67, 46] Operation: 70-24=46 Exploring Operation: 64-24=40, Resulting Numbers: [70, 67, 40] Generated Node #0,1: 37:[70, 67, 40] Operation: 64-24=40 Moving to Node #0,0 Current State: 37:[64, 67, 46], Operations: ['70-24=46'] Exploring Operation: 67-46=21, Resulting Numbers: [64, 21] Generated Node #0,0,0: 37:[64, 21] Operation: 67-46=21 Exploring Operation: 67-64=3, Resulting Numbers: [46, 3] Generated Node #0,0,1: 37:[46, 3] Operation: 67-64=3 Moving to Node #0,1 Current State: 37:[70, 67, 40], Operations: ['64-24=40'] Exploring Operation: 70-67=3, Resulting Numbers: [40, 3] Generated Node #0,1,0: 37:[40, 3] Operation: 70-67=3 Exploring Operation: 70-40=30, Resulting Numbers: [67, 30] Generated Node #0,1,1: 37:[67, 30] Operation: 70-40=30 Moving to Node #0,1,0 Current State: 37:[40, 3], Operations: ['64-24=40', '70-67=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Moving to Node #0 Current State: 37:[24, 70, 64, 67], Operations: [] Exploring Operation: 64-24=40, Resulting Numbers: [70, 67, 40] Generated Node #0,1: 37:[70, 67, 40] Operation: 64-24=40 Moving to Node #0,1 Current State: 37:[70, 67, 40], Operations: ['64-24=40'] Exploring Operation: 70-67=3, Resulting Numbers: [40, 3] Generated Node #0,1,0: 37:[40, 3] Operation: 70-67=3 Moving to Node #0,1,0 Current State: 37:[40, 3], Operations: ['64-24=40', '70-67=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached	0.990451	hs_2	mult_heuristic
[ 75, 76, 18, 50 ]	67	[ "76-75=1", "18+50=68", "68-1=67" ]	Current State: 67:[75, 76, 18, 50], Operations: [] Exploring Operation: 76-75=1, Resulting Numbers: [18, 50, 1] Generated Node #2: [18, 50, 1] from Operation: 76-75=1 Current State: 67:[18, 50, 1], Operations: ['76-75=1'] Exploring Operation: 18+50=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 18+50=68 Current State: 67:[1, 68], Operations: ['76-75=1', '18+50=68'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached	4	Current State: 67:[75, 76, 18, 50], Operations: [] Exploring Operation: 18+50=68, Resulting Numbers: [75, 76, 68] Generated Node #0,0: 67:[75, 76, 68] Operation: 18+50=68 Moving to Node #0,0 Current State: 67:[75, 76, 68], Operations: ['18+50=68'] Exploring Operation: 76-75=1, Resulting Numbers: [68, 1] Generated Node #0,0,0: 67:[68, 1] Operation: 76-75=1 Moving to Node #0,0,0 Current State: 67:[68, 1], Operations: ['18+50=68', '76-75=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached Moving to Node #0 Current State: 67:[75, 76, 18, 50], Operations: [] Exploring Operation: 18+50=68, Resulting Numbers: [75, 76, 68] Generated Node #0,0: 67:[75, 76, 68] Operation: 18+50=68 Moving to Node #0,0 Current State: 67:[75, 76, 68], Operations: ['18+50=68'] Exploring Operation: 76-75=1, Resulting Numbers: [68, 1] Generated Node #0,0,0: 67:[68, 1] Operation: 76-75=1 Moving to Node #0,0,0 Current State: 67:[68, 1], Operations: ['18+50=68', '76-75=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached	0.993924	hs_1	sum_heuristic
[ 75, 49, 23, 41 ]	38	[ "75-49=26", "23+41=64", "64-26=38" ]	Current State: 38:[75, 49, 23, 41], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [23, 41, 26] Generated Node #2: [23, 41, 26] from Operation: 75-49=26 Current State: 38:[23, 41, 26], Operations: ['75-49=26'] Exploring Operation: 23+41=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 23+41=64 Current State: 38:[26, 64], Operations: ['75-49=26', '23+41=64'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached	4	Current State: 38:[75, 49, 23, 41], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [23, 41, 26] Generated Node #0,0: 38:[23, 41, 26] Operation: 75-49=26 Moving to Node #0,0 Current State: 38:[23, 41, 26], Operations: ['75-49=26'] Exploring Operation: 26-23=3, Resulting Numbers: [41, 3] Generated Node #0,0,0: 38:[41, 3] Operation: 26-23=3 Moving to Node #0,0,0 Current State: 38:[41, 3], Operations: ['75-49=26', '26-23=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[75, 49, 23, 41], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [23, 41, 26] Generated Node #0,0: 38:[23, 41, 26] Operation: 75-49=26 Moving to Node #0,0 Current State: 38:[23, 41, 26], Operations: ['75-49=26'] Exploring Operation: 26-23=3, Resulting Numbers: [41, 3] Generated Node #0,0,0: 38:[41, 3] Operation: 26-23=3 Moving to Node #0,0,0 Current State: 38:[41, 3], Operations: ['75-49=26', '26-23=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached	0.993924	hs_1	sum_heuristic
[ 33, 21, 25, 12 ]	30	[ "25-21=4", "12/4=3", "33-3=30" ]	Current State: 30:[33, 21, 25, 12], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [33, 12, 4] Generated Node #2: [33, 12, 4] from Operation: 25-21=4 Current State: 30:[33, 12, 4], Operations: ['25-21=4'] Exploring Operation: 12/4=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 12/4=3 Current State: 30:[33, 3], Operations: ['25-21=4', '12/4=3'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	4	Current State: 30:[33, 21, 25, 12], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [33, 12, 4] Generated Node #0,0: 30:[33, 12, 4] Operation: 25-21=4 Exploring Operation: 33-21=12, Resulting Numbers: [25, 12, 12] Generated Node #0,1: 30:[25, 12, 12] Operation: 33-21=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 30:[33, 12, 4], Operations: ['25-21=4'] Exploring Operation: 12/4=3, Resulting Numbers: [33, 3] Generated Node #0,0,0: 30:[33, 3] Operation: 12/4=3 Exploring Operation: 33-4=29, Resulting Numbers: [12, 29] Generated Node #0,0,1: 30:[12, 29] Operation: 33-4=29 Moving to Node #0,0,0 Current State: 30:[33, 3], Operations: ['25-21=4', '12/4=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,30 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[33, 21, 25, 12], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [33, 12, 4] Generated Node #0,0: 30:[33, 12, 4] Operation: 25-21=4 Moving to Node #0,0 Current State: 30:[33, 12, 4], Operations: ['25-21=4'] Exploring Operation: 12/4=3, Resulting Numbers: [33, 3] Generated Node #0,0,0: 30:[33, 3] Operation: 12/4=3 Moving to Node #0,0,0 Current State: 30:[33, 3], Operations: ['25-21=4', '12/4=3'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	mult_heuristic
[ 10, 21, 53, 42 ]	20	[ "10+21=31", "53-42=11", "31-11=20" ]	Current State: 20:[10, 21, 53, 42], Operations: [] Exploring Operation: 10+21=31, Resulting Numbers: [53, 42, 31] Generated Node #2: [53, 42, 31] from Operation: 10+21=31 Current State: 20:[53, 42, 31], Operations: ['10+21=31'] Exploring Operation: 53-42=11, Resulting Numbers: [31, 11] Generated Node #3: [31, 11] from Operation: 53-42=11 Current State: 20:[31, 11], Operations: ['10+21=31', '53-42=11'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[10, 21, 53, 42], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [10, 42, 32] Generated Node #0,0: 20:[10, 42, 32] Operation: 53-21=32 Exploring Operation: 42/21=2, Resulting Numbers: [10, 53, 2] Generated Node #0,1: 20:[10, 53, 2] Operation: 42/21=2 Exploring Operation: 53-42=11, Resulting Numbers: [10, 21, 11] Generated Node #0,2: 20:[10, 21, 11] Operation: 53-42=11 Exploring Operation: 42-21=21, Resulting Numbers: [10, 53, 21] Generated Node #0,3: 20:[10, 53, 21] Operation: 42-21=21 Moving to Node #0,2 Current State: 20:[10, 21, 11], Operations: ['53-42=11'] Exploring Operation: 11-10=1, Resulting Numbers: [21, 1] Generated Node #0,2,0: 20:[21, 1] Operation: 11-10=1 Exploring Operation: 10+11=21, Resulting Numbers: [21, 21] Generated Node #0,2,1: 20:[21, 21] Operation: 10+11=21 Exploring Operation: 21-10=11, Resulting Numbers: [11, 11] Generated Node #0,2,2: 20:[11, 11] Operation: 21-10=11 Exploring Operation: 21-11=10, Resulting Numbers: [10, 10] Generated Node #0,2,3: 20:[10, 10] Operation: 21-11=10 Moving to Node #0,1 Current State: 20:[10, 53, 2], Operations: ['42/21=2'] Exploring Operation: 53-2=51, Resulting Numbers: [10, 51] Generated Node #0,1,0: 20:[10, 51] Operation: 53-2=51 Exploring Operation: 102=20, Resulting Numbers: [53, 20] Generated Node #0,1,1: 20:[53, 20] Operation: 102=20 Exploring Operation: 10/2=5, Resulting Numbers: [53, 5] Generated Node #0,1,2: 20:[53, 5] Operation: 10/2=5 Exploring Operation: 53-10=43, Resulting Numbers: [2, 43] Generated Node #0,1,3: 20:[2, 43] Operation: 53-10=43 Moving to Node #0,3 Current State: 20:[10, 53, 21], Operations: ['42-21=21'] Exploring Operation: 53-10=43, Resulting Numbers: [21, 43] Generated Node #0,3,0: 20:[21, 43] Operation: 53-10=43 Exploring Operation: 53-21=32, Resulting Numbers: [10, 32] Generated Node #0,3,1: 20:[10, 32] Operation: 53-21=32 Exploring Operation: 21-10=11, Resulting Numbers: [53, 11] Generated Node #0,3,2: 20:[53, 11] Operation: 21-10=11 Exploring Operation: 10+53=63, Resulting Numbers: [21, 63] Generated Node #0,3,3: 20:[21, 63] Operation: 10+53=63 Moving to Node #0,0 Current State: 20:[10, 42, 32], Operations: ['53-21=32'] Exploring Operation: 32-10=22, Resulting Numbers: [42, 22] Generated Node #0,0,0: 20:[42, 22] Operation: 32-10=22 Exploring Operation: 42-32=10, Resulting Numbers: [10, 10] Generated Node #0,0,1: 20:[10, 10] Operation: 42-32=10 Exploring Operation: 42-10=32, Resulting Numbers: [32, 32] Generated Node #0,0,2: 20:[32, 32] Operation: 42-10=32 Exploring Operation: 10+42=52, Resulting Numbers: [32, 52] Generated Node #0,0,3: 20:[32, 52] Operation: 10+42=52 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 20:[10, 10], Operations: ['53-21=32', '42-32=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,20 unequal: No Solution Exploring Operation: 10-10=0, Resulting Numbers: [0] 0,20 unequal: No Solution Exploring Operation: 10/10=1, Resulting Numbers: [1] 1,20 unequal: No Solution Exploring Operation: 10+10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Moving to Node #0 Current State: 20:[10, 21, 53, 42], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [10, 42, 32] Generated Node #0,0: 20:[10, 42, 32] Operation: 53-21=32 Moving to Node #0,0 Current State: 20:[10, 42, 32], Operations: ['53-21=32'] Exploring Operation: 42-32=10, Resulting Numbers: [10, 10] Generated Node #0,0,1: 20:[10, 10] Operation: 42-32=10 Moving to Node #0,0,1 Current State: 20:[10, 10], Operations: ['53-21=32', '42-32=10'] Exploring Operation: 10+10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Exit Sub Search at level 1	0.975694	hs_4	sum_heuristic
[ 17, 6, 93, 60 ]	51	[ "17*6=102", "93+60=153", "153-102=51" ]	Current State: 51:[17, 6, 93, 60], Operations: [] Exploring Operation: 176=102, Resulting Numbers: [93, 60, 102] Generated Node #2: [93, 60, 102] from Operation: 176=102 Current State: 51:[93, 60, 102], Operations: ['176=102'] Exploring Operation: 93+60=153, Resulting Numbers: [102, 153] Generated Node #3: [102, 153] from Operation: 93+60=153 Current State: 51:[102, 153], Operations: ['176=102', '93+60=153'] Exploring Operation: 153-102=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[17, 6, 93, 60], Operations: [] Exploring Operation: 93-17=76, Resulting Numbers: [6, 60, 76] Generated Node #0,0: 51:[6, 60, 76] Operation: 93-17=76 Exploring Operation: 93-6=87, Resulting Numbers: [17, 60, 87] Generated Node #0,1: 51:[17, 60, 87] Operation: 93-6=87 Exploring Operation: 60-6=54, Resulting Numbers: [17, 93, 54] Generated Node #0,2: 51:[17, 93, 54] Operation: 60-6=54 Exploring Operation: 93-60=33, Resulting Numbers: [17, 6, 33] Generated Node #0,3: 51:[17, 6, 33] Operation: 93-60=33 Moving to Node #0,3 Current State: 51:[17, 6, 33], Operations: ['93-60=33'] Exploring Operation: 33-6=27, Resulting Numbers: [17, 27] Generated Node #0,3,0: 51:[17, 27] Operation: 33-6=27 Exploring Operation: 17+33=50, Resulting Numbers: [6, 50] Generated Node #0,3,1: 51:[6, 50] Operation: 17+33=50 Exploring Operation: 33-17=16, Resulting Numbers: [6, 16] Generated Node #0,3,2: 51:[6, 16] Operation: 33-17=16 Exploring Operation: 6+33=39, Resulting Numbers: [17, 39] Generated Node #0,3,3: 51:[17, 39] Operation: 6+33=39 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 51:[6, 50], Operations: ['93-60=33', '17+33=50'] Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,51 unequal: No Solution Exploring Operation: 650=300, Resulting Numbers: [300] 300,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 51:[6, 16], Operations: ['93-60=33', '33-17=16'] Exploring Operation: 6+16=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 616=96, Resulting Numbers: [96] 96,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 51:[17, 27], Operations: ['93-60=33', '33-6=27'] Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 1727=459, Resulting Numbers: [459] 459,51 unequal: No Solution Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 51:[17, 39], Operations: ['93-60=33', '6+33=39'] Exploring Operation: 1739=663, Resulting Numbers: [663] 663,51 unequal: No Solution Exploring Operation: 17+39=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 51:[6, 60, 76], Operations: ['93-17=76'] Exploring Operation: 60-6=54, Resulting Numbers: [76, 54] Generated Node #0,0,0: 51:[76, 54] Operation: 60-6=54 Exploring Operation: 76-60=16, Resulting Numbers: [6, 16] Generated Node #0,0,1: 51:[6, 16] Operation: 76-60=16 Exploring Operation: 76-6=70, Resulting Numbers: [60, 70] Generated Node #0,0,2: 51:[60, 70] Operation: 76-6=70 Exploring Operation: 60/6=10, Resulting Numbers: [76, 10] Generated Node #0,0,3: 51:[76, 10] Operation: 60/6=10 Moving to Node #0,2 Current State: 51:[17, 93, 54], Operations: ['60-6=54'] Exploring Operation: 93-17=76, Resulting Numbers: [54, 76] Generated Node #0,2,0: 51:[54, 76] Operation: 93-17=76 Exploring Operation: 93-54=39, Resulting Numbers: [17, 39] Generated Node #0,2,1: 51:[17, 39] Operation: 93-54=39 Exploring Operation: 54-17=37, Resulting Numbers: [93, 37] Generated Node #0,2,2: 51:[93, 37] Operation: 54-17=37 Exploring Operation: 17+93=110, Resulting Numbers: [54, 110] Generated Node #0,2,3: 51:[54, 110] Operation: 17+93=110 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 51:[17, 39], Operations: ['60-6=54', '93-54=39'] Exploring Operation: 1739=663, Resulting Numbers: [663] 663,51 unequal: No Solution Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 17+39=56, Resulting Numbers: [56] 56,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 51:[54, 76], Operations: ['60-6=54', '93-17=76'] Exploring Operation: 76-54=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 5476=4104, Resulting Numbers: [4104] 4104,51 unequal: No Solution Exploring Operation: 54+76=130, Resulting Numbers: [130] 130,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 51:[93, 37], Operations: ['60-6=54', '54-17=37'] Exploring Operation: 93+37=130, Resulting Numbers: [130] 130,51 unequal: No Solution Exploring Operation: 9337=3441, Resulting Numbers: [3441] 3441,51 unequal: No Solution Exploring Operation: 93-37=56, Resulting Numbers: [56] 56,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 51:[54, 110], Operations: ['60-6=54', '17+93=110'] Exploring Operation: 110-54=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 54+110=164, Resulting Numbers: [164] 164,51 unequal: No Solution Exploring Operation: 54110=5940, Resulting Numbers: [5940] 5940,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 51:[17, 60, 87], Operations: ['93-6=87'] Exploring Operation: 60-17=43, Resulting Numbers: [87, 43] Generated Node #0,1,0: 51:[87, 43] Operation: 60-17=43 Exploring Operation: 17+60=77, Resulting Numbers: [87, 77] Generated Node #0,1,1: 51:[87, 77] Operation: 17+60=77 Exploring Operation: 87-60=27, Resulting Numbers: [17, 27] Generated Node #0,1,2: 51:[17, 27] Operation: 87-60=27 Exploring Operation: 87-17=70, Resulting Numbers: [60, 70] Generated Node #0,1,3: 51:[60, 70] Operation: 87-17=70 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 51:[17, 27], Operations: ['93-6=87', '87-60=27'] Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,51 unequal: No Solution Exploring Operation: 1727=459, Resulting Numbers: [459] 459,51 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 51:[60, 70], Operations: ['93-6=87', '87-17=70'] Exploring Operation: 6070=4200, Resulting Numbers: [4200] 4200,51 unequal: No Solution Exploring Operation: 60+70=130, Resulting Numbers: [130] 130,51 unequal: No Solution Exploring Operation: 70-60=10, Resulting Numbers: [10] 10,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 51:[87, 43], Operations: ['93-6=87', '60-17=43'] Exploring Operation: 87+43=130, Resulting Numbers: [130] 130,51 unequal: No Solution Exploring Operation: 8743=3741, Resulting Numbers: [3741] 3741,51 unequal: No Solution Exploring Operation: 87-43=44, Resulting Numbers: [44] 44,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 51:[87, 77], Operations: ['93-6=87', '17+60=77'] Exploring Operation: 87+77=164, Resulting Numbers: [164] 164,51 unequal: No Solution Exploring Operation: 87-77=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 8777=6699, Resulting Numbers: [6699] 6699,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 51:[6, 16], Operations: ['93-17=76', '76-60=16'] Exploring Operation: 616=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 6+16=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,51 unequal: No Solution Moving to Node #0,0,2 Current State: 51:[60, 70], Operations: ['93-17=76', '76-6=70'] Exploring Operation: 70-60=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 6070=4200, Resulting Numbers: [4200] 4200,51 unequal: No Solution Exploring Operation: 60+70=130, Resulting Numbers: [130] 130,51 unequal: No Solution Moving to Node #0,0,0 Current State: 51:[76, 54], Operations: ['93-17=76', '60-6=54'] Exploring Operation: 76-54=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 76+54=130, Resulting Numbers: [130] 130,51 unequal: No Solution Exploring Operation: 7654=4104, Resulting Numbers: [4104] 4104,51 unequal: No Solution Moving to Node #0,0,3 Current State: 51:[76, 10], Operations: ['93-17=76', '60/6=10'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,51 unequal: No Solution Exploring Operation: 7610=760, Resulting Numbers: [760] 760,51 unequal: No Solution Exploring Operation: 76+10=86, Resulting Numbers: [86] 86,51 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 88, 61, 17, 84 ]	74	[ "88-61=27", "17+84=101", "101-27=74" ]	Current State: 74:[88, 61, 17, 84], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [17, 84, 27] Generated Node #2: [17, 84, 27] from Operation: 88-61=27 Current State: 74:[17, 84, 27], Operations: ['88-61=27'] Exploring Operation: 17+84=101, Resulting Numbers: [27, 101] Generated Node #3: [27, 101] from Operation: 17+84=101 Current State: 74:[27, 101], Operations: ['88-61=27', '17+84=101'] Exploring Operation: 101-27=74, Resulting Numbers: [74] 74,74 equal: Goal Reached	4	Current State: 74:[88, 61, 17, 84], Operations: [] Exploring Operation: 88-17=71, Resulting Numbers: [61, 84, 71] Generated Node #0,0: 74:[61, 84, 71] Operation: 88-17=71 Exploring Operation: 84-17=67, Resulting Numbers: [88, 61, 67] Generated Node #0,1: 74:[88, 61, 67] Operation: 84-17=67 Exploring Operation: 61-17=44, Resulting Numbers: [88, 84, 44] Generated Node #0,2: 74:[88, 84, 44] Operation: 61-17=44 Exploring Operation: 61+17=78, Resulting Numbers: [88, 84, 78] Generated Node #0,3: 74:[88, 84, 78] Operation: 61+17=78 Exploring Operation: 88-84=4, Resulting Numbers: [61, 17, 4] Generated Node #0,4: 74:[61, 17, 4] Operation: 88-84=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 74:[61, 84, 71], Operations: ['88-17=71'] Exploring Operation: 84-61=23, Resulting Numbers: [71, 23] Generated Node #0,0,0: 74:[71, 23] Operation: 84-61=23 Exploring Operation: 84-71=13, Resulting Numbers: [61, 13] Generated Node #0,0,1: 74:[61, 13] Operation: 84-71=13 Exploring Operation: 61+71=132, Resulting Numbers: [84, 132] Generated Node #0,0,2: 74:[84, 132] Operation: 61+71=132 Exploring Operation: 71-61=10, Resulting Numbers: [84, 10] Generated Node #0,0,3: 74:[84, 10] Operation: 71-61=10 Exploring Operation: 61+84=145, Resulting Numbers: [71, 145] Generated Node #0,0,4: 74:[71, 145] Operation: 61+84=145 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 74:[71, 23], Operations: ['88-17=71', '84-61=23'] Exploring Operation: 71-23=48, Resulting Numbers: [48] 48,74 unequal: No Solution Exploring Operation: 7123=1633, Resulting Numbers: [1633] 1633,74 unequal: No Solution Exploring Operation: 71+23=94, Resulting Numbers: [94] 94,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 74:[84, 10], Operations: ['88-17=71', '71-61=10'] Exploring Operation: 8410=840, Resulting Numbers: [840] 840,74 unequal: No Solution Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[88, 61, 17, 84], Operations: [] Exploring Operation: 88-17=71, Resulting Numbers: [61, 84, 71] Generated Node #0,0: 74:[61, 84, 71] Operation: 88-17=71 Moving to Node #0,0 Current State: 74:[61, 84, 71], Operations: ['88-17=71'] Exploring Operation: 71-61=10, Resulting Numbers: [84, 10] Generated Node #0,0,3: 74:[84, 10] Operation: 71-61=10 Moving to Node #0,0,3 Current State: 74:[84, 10], Operations: ['88-17=71', '71-61=10'] Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.983507	hs_5	mult_heuristic
[ 22, 13, 1, 20 ]	26	[ "221=22", "22-20=2", "132=26" ]	Current State: 26:[22, 13, 1, 20], Operations: [] Exploring Operation: 221=22, Resulting Numbers: [13, 20, 22] Generated Node #2: [13, 20, 22] from Operation: 221=22 Current State: 26:[13, 20, 22], Operations: ['221=22'] Exploring Operation: 22-20=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 22-20=2 Current State: 26:[13, 2], Operations: ['221=22', '22-20=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached	4	Current State: 26:[22, 13, 1, 20], Operations: [] Exploring Operation: 1+20=21, Resulting Numbers: [22, 13, 21] Generated Node #0,0: 26:[22, 13, 21] Operation: 1+20=21 Exploring Operation: 22-20=2, Resulting Numbers: [13, 1, 2] Generated Node #0,1: 26:[13, 1, 2] Operation: 22-20=2 Exploring Operation: 22+1=23, Resulting Numbers: [13, 20, 23] Generated Node #0,2: 26:[13, 20, 23] Operation: 22+1=23 Moving to Node #0,1 Current State: 26:[13, 1, 2], Operations: ['22-20=2'] Exploring Operation: 12=2, Resulting Numbers: [13, 2] Generated Node #0,1,0: 26:[13, 2] Operation: 12=2 Exploring Operation: 131=13, Resulting Numbers: [2, 13] Generated Node #0,1,1: 26:[2, 13] Operation: 131=13 Exploring Operation: 13/1=13, Resulting Numbers: [2, 13] Generated Node #0,1,2: 26:[2, 13] Operation: 13/1=13 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 26:[13, 2], Operations: ['22-20=2', '12=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,26 unequal: No Solution Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,26 unequal: No Solution Exploring Operation: 132=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Moving to Node #0 Current State: 26:[22, 13, 1, 20], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [13, 1, 2] Generated Node #0,1: 26:[13, 1, 2] Operation: 22-20=2 Moving to Node #0,1 Current State: 26:[13, 1, 2], Operations: ['22-20=2'] Exploring Operation: 12=2, Resulting Numbers: [13, 2] Generated Node #0,1,0: 26:[13, 2] Operation: 12=2 Moving to Node #0,1,0 Current State: 26:[13, 2], Operations: ['22-20=2', '12=2'] Exploring Operation: 132=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Exit Sub Search at level 1	0.988715	hs_3	sum_heuristic
[ 29, 17, 23, 71 ]	69	[ "29+17=46", "46/23=2", "71-2=69" ]	Current State: 69:[29, 17, 23, 71], Operations: [] Exploring Operation: 29+17=46, Resulting Numbers: [23, 71, 46] Generated Node #2: [23, 71, 46] from Operation: 29+17=46 Current State: 69:[23, 71, 46], Operations: ['29+17=46'] Exploring Operation: 46/23=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 46/23=2 Current State: 69:[71, 2], Operations: ['29+17=46', '46/23=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached	4	Current State: 69:[29, 17, 23, 71], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [23, 71, 12] Generated Node #0,0: 69:[23, 71, 12] Operation: 29-17=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[23, 71, 12], Operations: ['29-17=12'] Exploring Operation: 23-12=11, Resulting Numbers: [71, 11] Generated Node #0,0,0: 69:[71, 11] Operation: 23-12=11 Moving to Node #0,0,0 Current State: 69:[71, 11], Operations: ['29-17=12', '23-12=11'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 56, 66, 70, 17 ]	43	[ "66-56=10", "70-17=53", "53-10=43" ]	Current State: 43:[56, 66, 70, 17], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [70, 17, 10] Generated Node #2: [70, 17, 10] from Operation: 66-56=10 Current State: 43:[70, 17, 10], Operations: ['66-56=10'] Exploring Operation: 70-17=53, Resulting Numbers: [10, 53] Generated Node #3: [10, 53] from Operation: 70-17=53 Current State: 43:[10, 53], Operations: ['66-56=10', '70-17=53'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,43 equal: Goal Reached	4	Current State: 43:[56, 66, 70, 17], Operations: [] Exploring Operation: 66-17=49, Resulting Numbers: [56, 70, 49] Generated Node #0,0: 43:[56, 70, 49] Operation: 66-17=49 Exploring Operation: 70-56=14, Resulting Numbers: [66, 17, 14] Generated Node #0,1: 43:[66, 17, 14] Operation: 70-56=14 Exploring Operation: 70-17=53, Resulting Numbers: [56, 66, 53] Generated Node #0,2: 43:[56, 66, 53] Operation: 70-17=53 Exploring Operation: 56-17=39, Resulting Numbers: [66, 70, 39] Generated Node #0,3: 43:[66, 70, 39] Operation: 56-17=39 Moving to Node #0,0 Current State: 43:[56, 70, 49], Operations: ['66-17=49'] Exploring Operation: 70-56=14, Resulting Numbers: [49, 14] Generated Node #0,0,0: 43:[49, 14] Operation: 70-56=14 Exploring Operation: 70-49=21, Resulting Numbers: [56, 21] Generated Node #0,0,1: 43:[56, 21] Operation: 70-49=21 Exploring Operation: 56+70=126, Resulting Numbers: [49, 126] Generated Node #0,0,2: 43:[49, 126] Operation: 56+70=126 Exploring Operation: 56-49=7, Resulting Numbers: [70, 7] Generated Node #0,0,3: 43:[70, 7] Operation: 56-49=7 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 43:[49, 14], Operations: ['66-17=49', '70-56=14'] Exploring Operation: 49+14=63, Resulting Numbers: [63] 63,43 unequal: No Solution Exploring Operation: 49-14=35, Resulting Numbers: [35] 35,43 unequal: No Solution Exploring Operation: 4914=686, Resulting Numbers: [686] 686,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 43:[56, 21], Operations: ['66-17=49', '70-49=21'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,43 unequal: No Solution Exploring Operation: 5621=1176, Resulting Numbers: [1176] 1176,43 unequal: No Solution Exploring Operation: 56+21=77, Resulting Numbers: [77] 77,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 43:[70, 7], Operations: ['66-17=49', '56-49=7'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,43 unequal: No Solution Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,43 unequal: No Solution Exploring Operation: 707=490, Resulting Numbers: [490] 490,43 unequal: No Solution Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 43:[49, 126], Operations: ['66-17=49', '56+70=126'] Exploring Operation: 49+126=175, Resulting Numbers: [175] 175,43 unequal: No Solution Exploring Operation: 126-49=77, Resulting Numbers: [77] 77,43 unequal: No Solution Exploring Operation: 49126=6174, Resulting Numbers: [6174] 6174,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 43:[56, 66, 53], Operations: ['70-17=53'] Exploring Operation: 66-56=10, Resulting Numbers: [53, 10] Generated Node #0,2,0: 43:[53, 10] Operation: 66-56=10 Exploring Operation: 66-53=13, Resulting Numbers: [56, 13] Generated Node #0,2,1: 43:[56, 13] Operation: 66-53=13 Exploring Operation: 56+66=122, Resulting Numbers: [53, 122] Generated Node #0,2,2: 43:[53, 122] Operation: 56+66=122 Exploring Operation: 56-53=3, Resulting Numbers: [66, 3] Generated Node #0,2,3: 43:[66, 3] Operation: 56-53=3 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 43:[53, 10], Operations: ['70-17=53', '66-56=10'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[56, 66, 70, 17], Operations: [] Exploring Operation: 70-17=53, Resulting Numbers: [56, 66, 53] Generated Node #0,2: 43:[56, 66, 53] Operation: 70-17=53 Moving to Node #0,2 Current State: 43:[56, 66, 53], Operations: ['70-17=53'] Exploring Operation: 66-56=10, Resulting Numbers: [53, 10] Generated Node #0,2,0: 43:[53, 10] Operation: 66-56=10 Moving to Node #0,2,0 Current State: 43:[53, 10], Operations: ['70-17=53', '66-56=10'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Exit Sub Search at level 1	0.973958	hs_4	sum_heuristic
[ 36, 67, 44, 53 ]	66	[ "67-36=31", "44+53=97", "97-31=66" ]	Current State: 66:[36, 67, 44, 53], Operations: [] Exploring Operation: 67-36=31, Resulting Numbers: [44, 53, 31] Generated Node #2: [44, 53, 31] from Operation: 67-36=31 Current State: 66:[44, 53, 31], Operations: ['67-36=31'] Exploring Operation: 44+53=97, Resulting Numbers: [31, 97] Generated Node #3: [31, 97] from Operation: 44+53=97 Current State: 66:[31, 97], Operations: ['67-36=31', '44+53=97'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached	4	Current State: 66:[36, 67, 44, 53], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [36, 44, 14] Generated Node #0,0: 66:[36, 44, 14] Operation: 67-53=14 Exploring Operation: 53-36=17, Resulting Numbers: [67, 44, 17] Generated Node #0,1: 66:[67, 44, 17] Operation: 53-36=17 Exploring Operation: 44-36=8, Resulting Numbers: [67, 53, 8] Generated Node #0,2: 66:[67, 53, 8] Operation: 44-36=8 Exploring Operation: 53-44=9, Resulting Numbers: [36, 67, 9] Generated Node #0,3: 66:[36, 67, 9] Operation: 53-44=9 Exploring Operation: 67-44=23, Resulting Numbers: [36, 53, 23] Generated Node #0,4: 66:[36, 53, 23] Operation: 67-44=23 Start Sub Search at level 1: Moving to Node #0,3 Current State: 66:[36, 67, 9], Operations: ['53-44=9'] Exploring Operation: 36+9=45, Resulting Numbers: [67, 45] Generated Node #0,3,0: 66:[67, 45] Operation: 36+9=45 Exploring Operation: 67-36=31, Resulting Numbers: [9, 31] Generated Node #0,3,1: 66:[9, 31] Operation: 67-36=31 Exploring Operation: 67-9=58, Resulting Numbers: [36, 58] Generated Node #0,3,2: 66:[36, 58] Operation: 67-9=58 Exploring Operation: 36/9=4, Resulting Numbers: [67, 4] Generated Node #0,3,3: 66:[67, 4] Operation: 36/9=4 Exploring Operation: 36-9=27, Resulting Numbers: [67, 27] Generated Node #0,3,4: 66:[67, 27] Operation: 36-9=27 Moving to Node #0,3,3 Current State: 66:[67, 4], Operations: ['53-44=9', '36/9=4'] Exploring Operation: 674=268, Resulting Numbers: [268] 268,66 unequal: No Solution Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,66 unequal: No Solution Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[9, 31], Operations: ['53-44=9', '67-36=31'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 9+31=40, Resulting Numbers: [40] 40,66 unequal: No Solution Exploring Operation: 931=279, Resulting Numbers: [279] 279,66 unequal: No Solution Moving to Node #0,3,4 Current State: 66:[67, 27], Operations: ['53-44=9', '36-9=27'] Exploring Operation: 6727=1809, Resulting Numbers: [1809] 1809,66 unequal: No Solution Exploring Operation: 67+27=94, Resulting Numbers: [94] 94,66 unequal: No Solution Exploring Operation: 67-27=40, Resulting Numbers: [40] 40,66 unequal: No Solution Moving to Node #0,3,2 Current State: 66:[36, 58], Operations: ['53-44=9', '67-9=58'] Exploring Operation: 36+58=94, Resulting Numbers: [94] 94,66 unequal: No Solution Exploring Operation: 58-36=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 3658=2088, Resulting Numbers: [2088] 2088,66 unequal: No Solution Moving to Node #0,3,0 Current State: 66:[67, 45], Operations: ['53-44=9', '36+9=45'] Exploring Operation: 67-45=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 6745=3015, Resulting Numbers: [3015] 3015,66 unequal: No Solution Exploring Operation: 67+45=112, Resulting Numbers: [112] 112,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 66:[67, 53, 8], Operations: ['44-36=8'] Exploring Operation: 67-53=14, Resulting Numbers: [8, 14] Generated Node #0,2,0: 66:[8, 14] Operation: 67-53=14 Exploring Operation: 53+8=61, Resulting Numbers: [67, 61] Generated Node #0,2,1: 66:[67, 61] Operation: 53+8=61 Exploring Operation: 53-8=45, Resulting Numbers: [67, 45] Generated Node #0,2,2: 66:[67, 45] Operation: 53-8=45 Exploring Operation: 67-8=59, Resulting Numbers: [53, 59] Generated Node #0,2,3: 66:[53, 59] Operation: 67-8=59 Exploring Operation: 67+8=75, Resulting Numbers: [53, 75] Generated Node #0,2,4: 66:[53, 75] Operation: 67+8=75 Moving to Node #0,2,0 Current State: 66:[8, 14], Operations: ['44-36=8', '67-53=14'] Exploring Operation: 14-8=6, Resulting Numbers: [6] 6,66 unequal: No Solution Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 814=112, Resulting Numbers: [112] 112,66 unequal: No Solution Moving to Node #0,2,1 Current State: 66:[67, 61], Operations: ['44-36=8', '53+8=61'] Exploring Operation: 67-61=6, Resulting Numbers: [6] 6,66 unequal: No Solution Exploring Operation: 67+61=128, Resulting Numbers: [128] 128,66 unequal: No Solution Exploring Operation: 6761=4087, Resulting Numbers: [4087] 4087,66 unequal: No Solution Moving to Node #0,2,2 Current State: 66:[67, 45], Operations: ['44-36=8', '53-8=45'] Exploring Operation: 67-45=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 6745=3015, Resulting Numbers: [3015] 3015,66 unequal: No Solution Exploring Operation: 67+45=112, Resulting Numbers: [112] 112,66 unequal: No Solution Moving to Node #0,2,3 Current State: 66:[53, 59], Operations: ['44-36=8', '67-8=59'] Exploring Operation: 53+59=112, Resulting Numbers: [112] 112,66 unequal: No Solution Exploring Operation: 59-53=6, Resulting Numbers: [6] 6,66 unequal: No Solution Exploring Operation: 5359=3127, Resulting Numbers: [3127] 3127,66 unequal: No Solution Moving to Node #0,2,4 Current State: 66:[53, 75], Operations: ['44-36=8', '67+8=75'] Exploring Operation: 75-53=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 53+75=128, Resulting Numbers: [128] 128,66 unequal: No Solution Exploring Operation: 5375=3975, Resulting Numbers: [3975] 3975,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[36, 44, 14], Operations: ['67-53=14'] Exploring Operation: 36+44=80, Resulting Numbers: [14, 80] Generated Node #0,0,0: 66:[14, 80] Operation: 36+44=80 Exploring Operation: 44-36=8, Resulting Numbers: [14, 8] Generated Node #0,0,1: 66:[14, 8] Operation: 44-36=8 Exploring Operation: 44-14=30, Resulting Numbers: [36, 30] Generated Node #0,0,2: 66:[36, 30] Operation: 44-14=30 Exploring Operation: 44+14=58, Resulting Numbers: [36, 58] Generated Node #0,0,3: 66:[36, 58] Operation: 44+14=58 Exploring Operation: 36-14=22, Resulting Numbers: [44, 22] Generated Node #0,0,4: 66:[44, 22] Operation: 36-14=22 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 66:[14, 8], Operations: ['67-53=14', '44-36=8'] Exploring Operation: 14*8=112, Resulting Numbers: [112] 112,66 unequal: No Solution Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,66 unequal: No Solution Exploring Operation: 14-8=6, Resulting Numbers: [6] 6,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 66:[36, 30], Operations: ['67-53=14', '44-14=30'] Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[36, 67, 44, 53], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [36, 44, 14] Generated Node #0,0: 66:[36, 44, 14] Operation: 67-53=14 Moving to Node #0,0 Current State: 66:[36, 44, 14], Operations: ['67-53=14'] Exploring Operation: 44-14=30, Resulting Numbers: [36, 30] Generated Node #0,0,2: 66:[36, 30] Operation: 44-14=30 Moving to Node #0,0,2 Current State: 66:[36, 30], Operations: ['67-53=14', '44-14=30'] Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.949653	hs_5	sum_heuristic
[ 84, 50, 30, 35 ]	31	[ "84-50=34", "30+35=65", "65-34=31" ]	Current State: 31:[84, 50, 30, 35], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [30, 35, 34] Generated Node #2: [30, 35, 34] from Operation: 84-50=34 Current State: 31:[30, 35, 34], Operations: ['84-50=34'] Exploring Operation: 30+35=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 30+35=65 Current State: 31:[34, 65], Operations: ['84-50=34', '30+35=65'] Exploring Operation: 65-34=31, Resulting Numbers: [31] 31,31 equal: Goal Reached	4	Current State: 31:[84, 50, 30, 35], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [30, 35, 34] Generated Node #0,0: 31:[30, 35, 34] Operation: 84-50=34 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[30, 35, 34], Operations: ['84-50=34'] Exploring Operation: 35-30=5, Resulting Numbers: [34, 5] Generated Node #0,0,0: 31:[34, 5] Operation: 35-30=5 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 31:[34, 5], Operations: ['84-50=34', '35-30=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,31 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 43, 44, 4, 71 ]	62	[ "43+71=114", "44*4=176", "176-114=62" ]	Current State: 62:[43, 44, 4, 71], Operations: [] Exploring Operation: 43+71=114, Resulting Numbers: [44, 4, 114] Generated Node #2: [44, 4, 114] from Operation: 43+71=114 Current State: 62:[44, 4, 114], Operations: ['43+71=114'] Exploring Operation: 444=176, Resulting Numbers: [114, 176] Generated Node #3: [114, 176] from Operation: 444=176 Current State: 62:[114, 176], Operations: ['43+71=114', '44*4=176'] Exploring Operation: 176-114=62, Resulting Numbers: [62] 62,62 equal: Goal Reached	4	Current State: 62:[43, 44, 4, 71], Operations: [] Exploring Operation: 44-43=1, Resulting Numbers: [4, 71, 1] Generated Node #0,0: 62:[4, 71, 1] Operation: 44-43=1 Exploring Operation: 71-43=28, Resulting Numbers: [44, 4, 28] Generated Node #0,1: 62:[44, 4, 28] Operation: 71-43=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 62:[4, 71, 1], Operations: ['44-43=1'] Exploring Operation: 71-4=67, Resulting Numbers: [1, 67] Generated Node #0,0,0: 62:[1, 67] Operation: 71-4=67 Exploring Operation: 4-1=3, Resulting Numbers: [71, 3] Generated Node #0,0,1: 62:[71, 3] Operation: 4-1=3 Moving to Node #0,0,0 Current State: 62:[1, 67], Operations: ['44-43=1', '71-4=67'] Exploring Operation: 1*67=67, Resulting Numbers: [67] 67,62 unequal: No Solution Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,62 unequal: No Solution Moving to Node #0,0,1 Current State: 62:[71, 3], Operations: ['44-43=1', '4-1=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,62 unequal: No Solution Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 62:[44, 4, 28], Operations: ['71-43=28'] Exploring Operation: 44/4=11, Resulting Numbers: [28, 11] Generated Node #0,1,0: 62:[28, 11] Operation: 44/4=11 Exploring Operation: 44-4=40, Resulting Numbers: [28, 40] Generated Node #0,1,1: 62:[28, 40] Operation: 44-4=40 Moving to Node #0,1,0 Current State: 62:[28, 11], Operations: ['71-43=28', '44/4=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,62 unequal: No Solution Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,62 unequal: No Solution Moving to Node #0,1,1 Current State: 62:[28, 40], Operations: ['71-43=28', '44-4=40'] Exploring Operation: 28+40=68, Resulting Numbers: [68] 68,62 unequal: No Solution Exploring Operation: 40-28=12, Resulting Numbers: [12] 12,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 25, 24, 20, 26 ]	18	[ "24+26=50", "50/25=2", "20-2=18" ]	Current State: 18:[25, 24, 20, 26], Operations: [] Exploring Operation: 24+26=50, Resulting Numbers: [25, 20, 50] Generated Node #2: [25, 20, 50] from Operation: 24+26=50 Current State: 18:[25, 20, 50], Operations: ['24+26=50'] Exploring Operation: 50/25=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 50/25=2 Current State: 18:[20, 2], Operations: ['24+26=50', '50/25=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached	4	Current State: 18:[25, 24, 20, 26], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [25, 20, 2] Generated Node #0,0: 18:[25, 20, 2] Operation: 26-24=2 Exploring Operation: 25-20=5, Resulting Numbers: [24, 26, 5] Generated Node #0,1: 18:[24, 26, 5] Operation: 25-20=5 Exploring Operation: 25-24=1, Resulting Numbers: [20, 26, 1] Generated Node #0,2: 18:[20, 26, 1] Operation: 25-24=1 Exploring Operation: 26-25=1, Resulting Numbers: [24, 20, 1] Generated Node #0,3: 18:[24, 20, 1] Operation: 26-25=1 Exploring Operation: 26-20=6, Resulting Numbers: [25, 24, 6] Generated Node #0,4: 18:[25, 24, 6] Operation: 26-20=6 Moving to Node #0,0 Current State: 18:[25, 20, 2], Operations: ['26-24=2'] Exploring Operation: 25-20=5, Resulting Numbers: [2, 5] Generated Node #0,0,0: 18:[2, 5] Operation: 25-20=5 Exploring Operation: 20/2=10, Resulting Numbers: [25, 10] Generated Node #0,0,1: 18:[25, 10] Operation: 20/2=10 Exploring Operation: 25+2=27, Resulting Numbers: [20, 27] Generated Node #0,0,2: 18:[20, 27] Operation: 25+2=27 Exploring Operation: 20-2=18, Resulting Numbers: [25, 18] Generated Node #0,0,3: 18:[25, 18] Operation: 20-2=18 Exploring Operation: 25-2=23, Resulting Numbers: [20, 23] Generated Node #0,0,4: 18:[20, 23] Operation: 25-2=23 Moving to Node #0,3 Current State: 18:[24, 20, 1], Operations: ['26-25=1'] Exploring Operation: 24/1=24, Resulting Numbers: [20, 24] Generated Node #0,3,0: 18:[20, 24] Operation: 24/1=24 Exploring Operation: 24-20=4, Resulting Numbers: [1, 4] Generated Node #0,3,1: 18:[1, 4] Operation: 24-20=4 Exploring Operation: 20-1=19, Resulting Numbers: [24, 19] Generated Node #0,3,2: 18:[24, 19] Operation: 20-1=19 Exploring Operation: 24-1=23, Resulting Numbers: [20, 23] Generated Node #0,3,3: 18:[20, 23] Operation: 24-1=23 Exploring Operation: 241=24, Resulting Numbers: [20, 24] Generated Node #0,3,4: 18:[20, 24] Operation: 241=24 Moving to Node #0,2 Current State: 18:[20, 26, 1], Operations: ['25-24=1'] Exploring Operation: 26-20=6, Resulting Numbers: [1, 6] Generated Node #0,2,0: 18:[1, 6] Operation: 26-20=6 Exploring Operation: 26-1=25, Resulting Numbers: [20, 25] Generated Node #0,2,1: 18:[20, 25] Operation: 26-1=25 Exploring Operation: 20/1=20, Resulting Numbers: [26, 20] Generated Node #0,2,2: 18:[26, 20] Operation: 20/1=20 Exploring Operation: 20-1=19, Resulting Numbers: [26, 19] Generated Node #0,2,3: 18:[26, 19] Operation: 20-1=19 Exploring Operation: 201=20, Resulting Numbers: [26, 20] Generated Node #0,2,4: 18:[26, 20] Operation: 201=20 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 18:[1, 6], Operations: ['25-24=1', '26-20=6'] Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 1+6=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 16=6, Resulting Numbers: [6] 6,18 unequal: No Solution Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 18:[20, 25], Operations: ['25-24=1', '26-1=25'] Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 2025=500, Resulting Numbers: [500] 500,18 unequal: No Solution Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 18:[26, 19], Operations: ['25-24=1', '20-1=19'] Exploring Operation: 2619=494, Resulting Numbers: [494] 494,18 unequal: No Solution Exploring Operation: 26-19=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 26+19=45, Resulting Numbers: [45] 45,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 18:[26, 20], Operations: ['25-24=1', '20/1=20'] Exploring Operation: 26-20=6, Resulting Numbers: [6] 6,18 unequal: No Solution Exploring Operation: 2620=520, Resulting Numbers: [520] 520,18 unequal: No Solution Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 18:[26, 20], Operations: ['25-24=1', '201=20'] Exploring Operation: 26-20=6, Resulting Numbers: [6] 6,18 unequal: No Solution Exploring Operation: 2620=520, Resulting Numbers: [520] 520,18 unequal: No Solution Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 18:[25, 24, 6], Operations: ['26-20=6'] Exploring Operation: 25-24=1, Resulting Numbers: [6, 1] Generated Node #0,4,0: 18:[6, 1] Operation: 25-24=1 Exploring Operation: 25-6=19, Resulting Numbers: [24, 19] Generated Node #0,4,1: 18:[24, 19] Operation: 25-6=19 Exploring Operation: 24-6=18, Resulting Numbers: [25, 18] Generated Node #0,4,2: 18:[25, 18] Operation: 24-6=18 Exploring Operation: 25+6=31, Resulting Numbers: [24, 31] Generated Node #0,4,3: 18:[24, 31] Operation: 25+6=31 Exploring Operation: 24/6=4, Resulting Numbers: [25, 4] Generated Node #0,4,4: 18:[25, 4] Operation: 24/6=4 Moving to Node #0,1 Current State: 18:[24, 26, 5], Operations: ['25-20=5'] Exploring Operation: 24+5=29, Resulting Numbers: [26, 29] Generated Node #0,1,0: 18:[26, 29] Operation: 24+5=29 Exploring Operation: 26-5=21, Resulting Numbers: [24, 21] Generated Node #0,1,1: 18:[24, 21] Operation: 26-5=21 Exploring Operation: 26-24=2, Resulting Numbers: [5, 2] Generated Node #0,1,2: 18:[5, 2] Operation: 26-24=2 Exploring Operation: 26+5=31, Resulting Numbers: [24, 31] Generated Node #0,1,3: 18:[24, 31] Operation: 26+5=31 Exploring Operation: 24-5=19, Resulting Numbers: [26, 19] Generated Node #0,1,4: 18:[26, 19] Operation: 24-5=19 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 18:[5, 2], Operations: ['25-20=5', '26-24=2'] Exploring Operation: 52=10, Resulting Numbers: [10] 10,18 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 5+2=7, Resulting Numbers: [7] 7,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 18:[24, 21], Operations: ['25-20=5', '26-5=21'] Exploring Operation: 2421=504, Resulting Numbers: [504] 504,18 unequal: No Solution Exploring Operation: 24-21=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 24+21=45, Resulting Numbers: [45] 45,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 18:[26, 19], Operations: ['25-20=5', '24-5=19'] Exploring Operation: 26+19=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 2619=494, Resulting Numbers: [494] 494,18 unequal: No Solution Exploring Operation: 26-19=7, Resulting Numbers: [7] 7,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 18:[26, 29], Operations: ['25-20=5', '24+5=29'] Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 29-26=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 2629=754, Resulting Numbers: [754] 754,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 18:[24, 31], Operations: ['25-20=5', '26+5=31'] Exploring Operation: 31-24=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 24+31=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 2431=744, Resulting Numbers: [744] 744,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 18:[2, 5], Operations: ['26-24=2', '25-20=5'] Exploring Operation: 2+5=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 25=10, Resulting Numbers: [10] 10,18 unequal: No Solution Moving to Node #0,4,0 Current State: 18:[6, 1], Operations: ['26-20=6', '25-24=1'] Exploring Operation: 61=6, Resulting Numbers: [6] 6,18 unequal: No Solution Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,18 unequal: No Solution Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,18 unequal: No Solution Moving to Node #0,3,1 Current State: 18:[1, 4], Operations: ['26-25=1', '24-20=4'] Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 14=4, Resulting Numbers: [4] 4,18 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,18 unequal: No Solution Moving to Node #0,3,2 Current State: 18:[24, 19], Operations: ['26-25=1', '20-1=19'] Exploring Operation: 24+19=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 24-19=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 2419=456, Resulting Numbers: [456] 456,18 unequal: No Solution Moving to Node #0,0,4 Current State: 18:[20, 23], Operations: ['26-24=2', '25-2=23'] Exploring Operation: 23-20=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 2023=460, Resulting Numbers: [460] 460,18 unequal: No Solution Exploring Operation: 20+23=43, Resulting Numbers: [43] 43,18 unequal: No Solution Moving to Node #0,4,1 Current State: 18:[24, 19], Operations: ['26-20=6', '25-6=19'] Exploring Operation: 2419=456, Resulting Numbers: [456] 456,18 unequal: No Solution Exploring Operation: 24+19=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 24-19=5, Resulting Numbers: [5] 5,18 unequal: No Solution Moving to Node #0,4,2 Current State: 18:[25, 18], Operations: ['26-20=6', '24-6=18'] Exploring Operation: 25-18=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 25+18=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 2518=450, Resulting Numbers: [450] 450,18 unequal: No Solution Moving to Node #0,0,3 Current State: 18:[25, 18], Operations: ['26-24=2', '20-2=18'] Exploring Operation: 25+18=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 2518=450, Resulting Numbers: [450] 450,18 unequal: No Solution Exploring Operation: 25-18=7, Resulting Numbers: [7] 7,18 unequal: No Solution Moving to Node #0,3,3 Current State: 18:[20, 23], Operations: ['26-25=1', '24-1=23'] Exploring Operation: 2023=460, Resulting Numbers: [460] 460,18 unequal: No Solution Exploring Operation: 20+23=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 23-20=3, Resulting Numbers: [3] 3,18 unequal: No Solution Moving to Node #0,4,4 Current State: 18:[25, 4], Operations: ['26-20=6', '24/6=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,18 unequal: No Solution Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,18 unequal: No Solution Exploring Operation: 254=100, Resulting Numbers: [100] 100,18 unequal: No Solution Moving to Node #0,3,4 Current State: 18:[20, 24], Operations: ['26-25=1', '241=24'] Exploring Operation: 2024=480, Resulting Numbers: [480] 480,18 unequal: No Solution Exploring Operation: 20+24=44, Resulting Numbers: [44] 44,18 unequal: No Solution Exploring Operation: 24-20=4, Resulting Numbers: [4] 4,18 unequal: No Solution Moving to Node #0,3,0 Current State: 18:[20, 24], Operations: ['26-25=1', '24/1=24'] Exploring Operation: 2024=480, Resulting Numbers: [480] 480,18 unequal: No Solution Exploring Operation: 20+24=44, Resulting Numbers: [44] 44,18 unequal: No Solution Exploring Operation: 24-20=4, Resulting Numbers: [4] 4,18 unequal: No Solution Moving to Node #0,0,1 Current State: 18:[25, 10], Operations: ['26-24=2', '20/2=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,18 unequal: No Solution Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,18 unequal: No Solution Exploring Operation: 2510=250, Resulting Numbers: [250] 250,18 unequal: No Solution Moving to Node #0,0,2 Current State: 18:[20, 27], Operations: ['26-24=2', '25+2=27'] Exploring Operation: 2027=540, Resulting Numbers: [540] 540,18 unequal: No Solution Exploring Operation: 20+27=47, Resulting Numbers: [47] 47,18 unequal: No Solution Exploring Operation: 27-20=7, Resulting Numbers: [7] 7,18 unequal: No Solution Moving to Node #0,4,3 Current State: 18:[24, 31], Operations: ['26-20=6', '25+6=31'] Exploring Operation: 24+31=55, Resulting Numbers: [55] 55,18 unequal: No Solution Exploring Operation: 24*31=744, Resulting Numbers: [744] 744,18 unequal: No Solution Exploring Operation: 31-24=7, Resulting Numbers: [7] 7,18 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 74, 43, 39, 47 ]	76	[ "39+47=86", "86/43=2", "74+2=76" ]	Current State: 76:[74, 43, 39, 47], Operations: [] Exploring Operation: 39+47=86, Resulting Numbers: [74, 43, 86] Generated Node #2: [74, 43, 86] from Operation: 39+47=86 Current State: 76:[74, 43, 86], Operations: ['39+47=86'] Exploring Operation: 86/43=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 86/43=2 Current State: 76:[74, 2], Operations: ['39+47=86', '86/43=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached	4	Current State: 76:[74, 43, 39, 47], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [74, 47, 4] Generated Node #0,0: 76:[74, 47, 4] Operation: 43-39=4 Exploring Operation: 47-39=8, Resulting Numbers: [74, 43, 8] Generated Node #0,1: 76:[74, 43, 8] Operation: 47-39=8 Exploring Operation: 47-43=4, Resulting Numbers: [74, 39, 4] Generated Node #0,2: 76:[74, 39, 4] Operation: 47-43=4 Moving to Node #0,2 Current State: 76:[74, 39, 4], Operations: ['47-43=4'] Exploring Operation: 74-39=35, Resulting Numbers: [4, 35] Generated Node #0,2,0: 76:[4, 35] Operation: 74-39=35 Exploring Operation: 74+4=78, Resulting Numbers: [39, 78] Generated Node #0,2,1: 76:[39, 78] Operation: 74+4=78 Exploring Operation: 39-4=35, Resulting Numbers: [74, 35] Generated Node #0,2,2: 76:[74, 35] Operation: 39-4=35 Moving to Node #0,0 Current State: 76:[74, 47, 4], Operations: ['43-39=4'] Exploring Operation: 47-4=43, Resulting Numbers: [74, 43] Generated Node #0,0,0: 76:[74, 43] Operation: 47-4=43 Exploring Operation: 74+4=78, Resulting Numbers: [47, 78] Generated Node #0,0,1: 76:[47, 78] Operation: 74+4=78 Exploring Operation: 74-47=27, Resulting Numbers: [4, 27] Generated Node #0,0,2: 76:[4, 27] Operation: 74-47=27 Moving to Node #0,1 Current State: 76:[74, 43, 8], Operations: ['47-39=8'] Exploring Operation: 43-8=35, Resulting Numbers: [74, 35] Generated Node #0,1,0: 76:[74, 35] Operation: 43-8=35 Exploring Operation: 74-43=31, Resulting Numbers: [8, 31] Generated Node #0,1,1: 76:[8, 31] Operation: 74-43=31 Exploring Operation: 74+8=82, Resulting Numbers: [43, 82] Generated Node #0,1,2: 76:[43, 82] Operation: 74+8=82 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 76:[74, 35], Operations: ['47-39=8', '43-8=35'] Exploring Operation: 74+35=109, Resulting Numbers: [109] 109,76 unequal: No Solution Exploring Operation: 74-35=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 7435=2590, Resulting Numbers: [2590] 2590,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 76:[8, 31], Operations: ['47-39=8', '74-43=31'] Exploring Operation: 831=248, Resulting Numbers: [248] 248,76 unequal: No Solution Exploring Operation: 31-8=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 8+31=39, Resulting Numbers: [39] 39,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 76:[43, 82], Operations: ['47-39=8', '74+8=82'] Exploring Operation: 4382=3526, Resulting Numbers: [3526] 3526,76 unequal: No Solution Exploring Operation: 43+82=125, Resulting Numbers: [125] 125,76 unequal: No Solution Exploring Operation: 82-43=39, Resulting Numbers: [39] 39,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,0 Current State: 76:[4, 35], Operations: ['47-43=4', '74-39=35'] Exploring Operation: 435=140, Resulting Numbers: [140] 140,76 unequal: No Solution Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[39, 78], Operations: ['47-43=4', '74+4=78'] Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,76 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 39+78=117, Resulting Numbers: [117] 117,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[74, 35], Operations: ['47-43=4', '39-4=35'] Exploring Operation: 7435=2590, Resulting Numbers: [2590] 2590,76 unequal: No Solution Exploring Operation: 74+35=109, Resulting Numbers: [109] 109,76 unequal: No Solution Exploring Operation: 74-35=39, Resulting Numbers: [39] 39,76 unequal: No Solution Moving to Node #0,0,0 Current State: 76:[74, 43], Operations: ['43-39=4', '47-4=43'] Exploring Operation: 74+43=117, Resulting Numbers: [117] 117,76 unequal: No Solution Exploring Operation: 74-43=31, Resulting Numbers: [31] 31,76 unequal: No Solution Exploring Operation: 7443=3182, Resulting Numbers: [3182] 3182,76 unequal: No Solution Moving to Node #0,0,2 Current State: 76:[4, 27], Operations: ['43-39=4', '74-47=27'] Exploring Operation: 4+27=31, Resulting Numbers: [31] 31,76 unequal: No Solution Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 427=108, Resulting Numbers: [108] 108,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[47, 78], Operations: ['43-39=4', '74+4=78'] Exploring Operation: 47+78=125, Resulting Numbers: [125] 125,76 unequal: No Solution Exploring Operation: 78-47=31, Resulting Numbers: [31] 31,76 unequal: No Solution Exploring Operation: 4778=3666, Resulting Numbers: [3666] 3666,76 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 7, 77, 28, 3 ]	61	[ "77/7=11", "3*11=33", "28+33=61" ]	Current State: 61:[7, 77, 28, 3], Operations: [] Exploring Operation: 77/7=11, Resulting Numbers: [28, 3, 11] Generated Node #2: [28, 3, 11] from Operation: 77/7=11 Current State: 61:[28, 3, 11], Operations: ['77/7=11'] Exploring Operation: 311=33, Resulting Numbers: [28, 33] Generated Node #3: [28, 33] from Operation: 311=33 Current State: 61:[28, 33], Operations: ['77/7=11', '3*11=33'] Exploring Operation: 28+33=61, Resulting Numbers: [61] 61,61 equal: Goal Reached	4	Current State: 61:[7, 77, 28, 3], Operations: [] Exploring Operation: 283=84, Resulting Numbers: [7, 77, 84] Generated Node #0,0: 61:[7, 77, 84] Operation: 283=84 Exploring Operation: 73=21, Resulting Numbers: [77, 28, 21] Generated Node #0,1: 61:[77, 28, 21] Operation: 73=21 Exploring Operation: 77-7=70, Resulting Numbers: [28, 3, 70] Generated Node #0,2: 61:[28, 3, 70] Operation: 77-7=70 Moving to Node #0,1 Current State: 61:[77, 28, 21], Operations: ['73=21'] Exploring Operation: 77-28=49, Resulting Numbers: [21, 49] Generated Node #0,1,0: 61:[21, 49] Operation: 77-28=49 Exploring Operation: 77-21=56, Resulting Numbers: [28, 56] Generated Node #0,1,1: 61:[28, 56] Operation: 77-21=56 Exploring Operation: 28+21=49, Resulting Numbers: [77, 49] Generated Node #0,1,2: 61:[77, 49] Operation: 28+21=49 Moving to Node #0,0 Current State: 61:[7, 77, 84], Operations: ['283=84'] Exploring Operation: 84-7=77, Resulting Numbers: [77, 77] Generated Node #0,0,0: 61:[77, 77] Operation: 84-7=77 Exploring Operation: 7+77=84, Resulting Numbers: [84, 84] Generated Node #0,0,1: 61:[84, 84] Operation: 7+77=84 Exploring Operation: 77-7=70, Resulting Numbers: [84, 70] Generated Node #0,0,2: 61:[84, 70] Operation: 77-7=70 Moving to Node #0,2 Current State: 61:[28, 3, 70], Operations: ['77-7=70'] Exploring Operation: 70-3=67, Resulting Numbers: [28, 67] Generated Node #0,2,0: 61:[28, 67] Operation: 70-3=67 Exploring Operation: 28+3=31, Resulting Numbers: [70, 31] Generated Node #0,2,1: 61:[70, 31] Operation: 28+3=31 Exploring Operation: 283=84, Resulting Numbers: [70, 84] Generated Node #0,2,2: 61:[70, 84] Operation: 283=84 Moving to Node #0,1,2 Current State: 61:[77, 49], Operations: ['73=21', '28+21=49'] Exploring Operation: 77+49=126, Resulting Numbers: [126] 126,61 unequal: No Solution Exploring Operation: 7749=3773, Resulting Numbers: [3773] 3773,61 unequal: No Solution Exploring Operation: 77-49=28, Resulting Numbers: [28] 28,61 unequal: No Solution Moving to Node #0,2,2 Current State: 61:[70, 84], Operations: ['77-7=70', '283=84'] Exploring Operation: 7084=5880, Resulting Numbers: [5880] 5880,61 unequal: No Solution Exploring Operation: 70+84=154, Resulting Numbers: [154] 154,61 unequal: No Solution Exploring Operation: 84-70=14, Resulting Numbers: [14] 14,61 unequal: No Solution Moving to Node #0,0,0 Current State: 61:[77, 77], Operations: ['283=84', '84-7=77'] Exploring Operation: 77-77=0, Resulting Numbers: [0] 0,61 unequal: No Solution Exploring Operation: 77+77=154, Resulting Numbers: [154] 154,61 unequal: No Solution Exploring Operation: 77/77=1, Resulting Numbers: [1] 1,61 unequal: No Solution Moving to Node #0,0,2 Current State: 61:[84, 70], Operations: ['283=84', '77-7=70'] Exploring Operation: 8470=5880, Resulting Numbers: [5880] 5880,61 unequal: No Solution Exploring Operation: 84-70=14, Resulting Numbers: [14] 14,61 unequal: No Solution Exploring Operation: 84+70=154, Resulting Numbers: [154] 154,61 unequal: No Solution Moving to Node #0,1,1 Current State: 61:[28, 56], Operations: ['73=21', '77-21=56'] Exploring Operation: 56/28=2, Resulting Numbers: [2] 2,61 unequal: No Solution Exploring Operation: 56-28=28, Resulting Numbers: [28] 28,61 unequal: No Solution Exploring Operation: 28+56=84, Resulting Numbers: [84] 84,61 unequal: No Solution Moving to Node #0,2,1 Current State: 61:[70, 31], Operations: ['77-7=70', '28+3=31'] Exploring Operation: 70+31=101, Resulting Numbers: [101] 101,61 unequal: No Solution Exploring Operation: 7031=2170, Resulting Numbers: [2170] 2170,61 unequal: No Solution Exploring Operation: 70-31=39, Resulting Numbers: [39] 39,61 unequal: No Solution Moving to Node #0,2,0 Current State: 61:[28, 67], Operations: ['77-7=70', '70-3=67'] Exploring Operation: 28+67=95, Resulting Numbers: [95] 95,61 unequal: No Solution Exploring Operation: 2867=1876, Resulting Numbers: [1876] 1876,61 unequal: No Solution Exploring Operation: 67-28=39, Resulting Numbers: [39] 39,61 unequal: No Solution Moving to Node #0,0,1 Current State: 61:[84, 84], Operations: ['283=84', '7+77=84'] Exploring Operation: 84/84=1, Resulting Numbers: [1] 1,61 unequal: No Solution Exploring Operation: 84+84=168, Resulting Numbers: [168] 168,61 unequal: No Solution Exploring Operation: 84-84=0, Resulting Numbers: [0] 0,61 unequal: No Solution Moving to Node #0,1,0 Current State: 61:[21, 49], Operations: ['73=21', '77-28=49'] Exploring Operation: 21*49=1029, Resulting Numbers: [1029] 1029,61 unequal: No Solution Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,61 unequal: No Solution Exploring Operation: 21+49=70, Resulting Numbers: [70] 70,61 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 53, 2, 20, 24 ]	55	[ "53-2=51", "24-20=4", "51+4=55" ]	Current State: 55:[53, 2, 20, 24], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [20, 24, 51] Generated Node #2: [20, 24, 51] from Operation: 53-2=51 Current State: 55:[20, 24, 51], Operations: ['53-2=51'] Exploring Operation: 24-20=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 24-20=4 Current State: 55:[51, 4], Operations: ['53-2=51', '24-20=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached	4	Current State: 55:[53, 2, 20, 24], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [53, 2, 4] Generated Node #0,0: 55:[53, 2, 4] Operation: 24-20=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 55:[53, 2, 4], Operations: ['24-20=4'] Exploring Operation: 53+2=55, Resulting Numbers: [4, 55] Generated Node #0,0,0: 55:[4, 55] Operation: 53+2=55 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 55:[4, 55], Operations: ['24-20=4', '53+2=55'] Exploring Operation: 4+55=59, Resulting Numbers: [59] 59,55 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 3, 26, 4, 16 ]	37	[ "26-16=10", "4*10=40", "40-3=37" ]	Current State: 37:[3, 26, 4, 16], Operations: [] Exploring Operation: 26-16=10, Resulting Numbers: [3, 4, 10] Generated Node #2: [3, 4, 10] from Operation: 26-16=10 Current State: 37:[3, 4, 10], Operations: ['26-16=10'] Exploring Operation: 410=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 410=40 Current State: 37:[3, 40], Operations: ['26-16=10', '4*10=40'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached	4	Current State: 37:[3, 26, 4, 16], Operations: [] Exploring Operation: 316=48, Resulting Numbers: [26, 4, 48] Generated Node #0,0: 37:[26, 4, 48] Operation: 316=48 Exploring Operation: 34=12, Resulting Numbers: [26, 16, 12] Generated Node #0,1: 37:[26, 16, 12] Operation: 34=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 37:[26, 4, 48], Operations: ['316=48'] Exploring Operation: 26+4=30, Resulting Numbers: [48, 30] Generated Node #0,0,0: 37:[48, 30] Operation: 26+4=30 Exploring Operation: 48-4=44, Resulting Numbers: [26, 44] Generated Node #0,0,1: 37:[26, 44] Operation: 48-4=44 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 37:[48, 30], Operations: ['316=48', '26+4=30'] Exploring Operation: 48+30=78, Resulting Numbers: [78] 78,37 unequal: No Solution Exploring Operation: 48-30=18, Resulting Numbers: [18] 18,37 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 37:[26, 44], Operations: ['316=48', '48-4=44'] Exploring Operation: 44-26=18, Resulting Numbers: [18] 18,37 unequal: No Solution Exploring Operation: 26+44=70, Resulting Numbers: [70] 70,37 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 37:[26, 16, 12], Operations: ['34=12'] Exploring Operation: 26+12=38, Resulting Numbers: [16, 38] Generated Node #0,1,0: 37:[16, 38] Operation: 26+12=38 Exploring Operation: 16+12=28, Resulting Numbers: [26, 28] Generated Node #0,1,1: 37:[26, 28] Operation: 16+12=28 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 37:[26, 28], Operations: ['34=12', '16+12=28'] Exploring Operation: 26+28=54, Resulting Numbers: [54] 54,37 unequal: No Solution Exploring Operation: 28-26=2, Resulting Numbers: [2] 2,37 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 37:[16, 38], Operations: ['34=12', '26+12=38'] Exploring Operation: 16+38=54, Resulting Numbers: [54] 54,37 unequal: No Solution Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,37 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 76, 29, 76, 95 ]	95	[ "76-76=0", "29*0=0", "95+0=95" ]	Current State: 95:[76, 29, 76, 95], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [29, 95, 0] Generated Node #2: [29, 95, 0] from Operation: 76-76=0 Current State: 95:[29, 95, 0], Operations: ['76-76=0'] Exploring Operation: 290=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 290=0 Current State: 95:[95, 0], Operations: ['76-76=0', '29*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[76, 29, 76, 95], Operations: [] Exploring Operation: 95-76=19, Resulting Numbers: [29, 76, 19] Generated Node #0,0: 95:[29, 76, 19] Operation: 95-76=19 Exploring Operation: 76-76=0, Resulting Numbers: [29, 95, 0] Generated Node #0,1: 95:[29, 95, 0] Operation: 76-76=0 Exploring Operation: 76+29=105, Resulting Numbers: [76, 95, 105] Generated Node #0,2: 95:[76, 95, 105] Operation: 76+29=105 Exploring Operation: 76/76=1, Resulting Numbers: [29, 95, 1] Generated Node #0,3: 95:[29, 95, 1] Operation: 76/76=1 Start Sub Search at level 1: Moving to Node #0,3 Current State: 95:[29, 95, 1], Operations: ['76/76=1'] Exploring Operation: 291=29, Resulting Numbers: [95, 29] Generated Node #0,3,0: 95:[95, 29] Operation: 291=29 Exploring Operation: 29/1=29, Resulting Numbers: [95, 29] Generated Node #0,3,1: 95:[95, 29] Operation: 29/1=29 Exploring Operation: 29-1=28, Resulting Numbers: [95, 28] Generated Node #0,3,2: 95:[95, 28] Operation: 29-1=28 Exploring Operation: 951=95, Resulting Numbers: [29, 95] Generated Node #0,3,3: 95:[29, 95] Operation: 951=95 Moving to Node #0,3,2 Current State: 95:[95, 28], Operations: ['76/76=1', '29-1=28'] Exploring Operation: 9528=2660, Resulting Numbers: [2660] 2660,95 unequal: No Solution Exploring Operation: 95+28=123, Resulting Numbers: [123] 123,95 unequal: No Solution Exploring Operation: 95-28=67, Resulting Numbers: [67] 67,95 unequal: No Solution Moving to Node #0,3,1 Current State: 95:[95, 29], Operations: ['76/76=1', '29/1=29'] Exploring Operation: 9529=2755, Resulting Numbers: [2755] 2755,95 unequal: No Solution Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,95 unequal: No Solution Exploring Operation: 95+29=124, Resulting Numbers: [124] 124,95 unequal: No Solution Moving to Node #0,3,0 Current State: 95:[95, 29], Operations: ['76/76=1', '291=29'] Exploring Operation: 95+29=124, Resulting Numbers: [124] 124,95 unequal: No Solution Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,95 unequal: No Solution Exploring Operation: 9529=2755, Resulting Numbers: [2755] 2755,95 unequal: No Solution Moving to Node #0,3,3 Current State: 95:[29, 95], Operations: ['76/76=1', '951=95'] Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,95 unequal: No Solution Exploring Operation: 29+95=124, Resulting Numbers: [124] 124,95 unequal: No Solution Exploring Operation: 2995=2755, Resulting Numbers: [2755] 2755,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 95:[29, 95, 0], Operations: ['76-76=0'] Exploring Operation: 29-0=29, Resulting Numbers: [95, 29] Generated Node #0,1,0: 95:[95, 29] Operation: 29-0=29 Exploring Operation: 29+0=29, Resulting Numbers: [95, 29] Generated Node #0,1,1: 95:[95, 29] Operation: 29+0=29 Exploring Operation: 290=0, Resulting Numbers: [95, 0] Generated Node #0,1,2: 95:[95, 0] Operation: 290=0 Exploring Operation: 95+0=95, Resulting Numbers: [29, 95] Generated Node #0,1,3: 95:[29, 95] Operation: 95+0=95 Moving to Node #0,1,2 Current State: 95:[95, 0], Operations: ['76-76=0', '290=0'] Exploring Operation: 95-0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[76, 29, 76, 95], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [29, 95, 0] Generated Node #0,1: 95:[29, 95, 0] Operation: 76-76=0 Moving to Node #0,1 Current State: 95:[29, 95, 0], Operations: ['76-76=0'] Exploring Operation: 290=0, Resulting Numbers: [95, 0] Generated Node #0,1,2: 95:[95, 0] Operation: 290=0 Moving to Node #0,1,2 Current State: 95:[95, 0], Operations: ['76-76=0', '290=0'] Exploring Operation: 95-0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1	0.974826	hs_4	sum_heuristic
[ 88, 7, 18, 25 ]	15	[ "88-18=70", "70/7=10", "25-10=15" ]	Current State: 15:[88, 7, 18, 25], Operations: [] Exploring Operation: 88-18=70, Resulting Numbers: [7, 25, 70] Generated Node #2: [7, 25, 70] from Operation: 88-18=70 Current State: 15:[7, 25, 70], Operations: ['88-18=70'] Exploring Operation: 70/7=10, Resulting Numbers: [25, 10] Generated Node #3: [25, 10] from Operation: 70/7=10 Current State: 15:[25, 10], Operations: ['88-18=70', '70/7=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[88, 7, 18, 25], Operations: [] Exploring Operation: 88-18=70, Resulting Numbers: [7, 25, 70] Generated Node #0,0: 15:[7, 25, 70] Operation: 88-18=70 Exploring Operation: 25-18=7, Resulting Numbers: [88, 7, 7] Generated Node #0,1: 15:[88, 7, 7] Operation: 25-18=7 Exploring Operation: 88-25=63, Resulting Numbers: [7, 18, 63] Generated Node #0,2: 15:[7, 18, 63] Operation: 88-25=63 Exploring Operation: 88-7=81, Resulting Numbers: [18, 25, 81] Generated Node #0,3: 15:[18, 25, 81] Operation: 88-7=81 Moving to Node #0,2 Current State: 15:[7, 18, 63], Operations: ['88-25=63'] Exploring Operation: 63-7=56, Resulting Numbers: [18, 56] Generated Node #0,2,0: 15:[18, 56] Operation: 63-7=56 Exploring Operation: 63/7=9, Resulting Numbers: [18, 9] Generated Node #0,2,1: 15:[18, 9] Operation: 63/7=9 Exploring Operation: 18-7=11, Resulting Numbers: [63, 11] Generated Node #0,2,2: 15:[63, 11] Operation: 18-7=11 Exploring Operation: 63-18=45, Resulting Numbers: [7, 45] Generated Node #0,2,3: 15:[7, 45] Operation: 63-18=45 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 15:[18, 9], Operations: ['88-25=63', '63/7=9'] Exploring Operation: 189=162, Resulting Numbers: [162] 162,15 unequal: No Solution Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,15 unequal: No Solution Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 18+9=27, Resulting Numbers: [27] 27,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 15:[7, 45], Operations: ['88-25=63', '63-18=45'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,15 unequal: No Solution Exploring Operation: 7+45=52, Resulting Numbers: [52] 52,15 unequal: No Solution Exploring Operation: 745=315, Resulting Numbers: [315] 315,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 15:[18, 56], Operations: ['88-25=63', '63-7=56'] Exploring Operation: 18+56=74, Resulting Numbers: [74] 74,15 unequal: No Solution Exploring Operation: 1856=1008, Resulting Numbers: [1008] 1008,15 unequal: No Solution Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 15:[63, 11], Operations: ['88-25=63', '18-7=11'] Exploring Operation: 6311=693, Resulting Numbers: [693] 693,15 unequal: No Solution Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,15 unequal: No Solution Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 15:[7, 25, 70], Operations: ['88-18=70'] Exploring Operation: 70-7=63, Resulting Numbers: [25, 63] Generated Node #0,0,0: 15:[25, 63] Operation: 70-7=63 Exploring Operation: 70-25=45, Resulting Numbers: [7, 45] Generated Node #0,0,1: 15:[7, 45] Operation: 70-25=45 Exploring Operation: 25-7=18, Resulting Numbers: [70, 18] Generated Node #0,0,2: 15:[70, 18] Operation: 25-7=18 Exploring Operation: 70/7=10, Resulting Numbers: [25, 10] Generated Node #0,0,3: 15:[25, 10] Operation: 70/7=10 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 15:[25, 10], Operations: ['88-18=70', '70/7=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[88, 7, 18, 25], Operations: [] Exploring Operation: 88-18=70, Resulting Numbers: [7, 25, 70] Generated Node #0,0: 15:[7, 25, 70] Operation: 88-18=70 Moving to Node #0,0 Current State: 15:[7, 25, 70], Operations: ['88-18=70'] Exploring Operation: 70/7=10, Resulting Numbers: [25, 10] Generated Node #0,0,3: 15:[25, 10] Operation: 70/7=10 Moving to Node #0,0,3 Current State: 15:[25, 10], Operations: ['88-18=70', '70/7=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Exit Sub Search at level 1	0.973958	hs_4	sum_heuristic
[ 23, 86, 3, 58 ]	54	[ "23+86=109", "58-3=55", "109-55=54" ]	Current State: 54:[23, 86, 3, 58], Operations: [] Exploring Operation: 23+86=109, Resulting Numbers: [3, 58, 109] Generated Node #2: [3, 58, 109] from Operation: 23+86=109 Current State: 54:[3, 58, 109], Operations: ['23+86=109'] Exploring Operation: 58-3=55, Resulting Numbers: [109, 55] Generated Node #3: [109, 55] from Operation: 58-3=55 Current State: 54:[109, 55], Operations: ['23+86=109', '58-3=55'] Exploring Operation: 109-55=54, Resulting Numbers: [54] 54,54 equal: Goal Reached	4	Current State: 54:[23, 86, 3, 58], Operations: [] Exploring Operation: 86-3=83, Resulting Numbers: [23, 58, 83] Generated Node #0,0: 54:[23, 58, 83] Operation: 86-3=83 Exploring Operation: 86-23=63, Resulting Numbers: [3, 58, 63] Generated Node #0,1: 54:[3, 58, 63] Operation: 86-23=63 Exploring Operation: 86-58=28, Resulting Numbers: [23, 3, 28] Generated Node #0,2: 54:[23, 3, 28] Operation: 86-58=28 Exploring Operation: 23+3=26, Resulting Numbers: [86, 58, 26] Generated Node #0,3: 54:[86, 58, 26] Operation: 23+3=26 Moving to Node #0,2 Current State: 54:[23, 3, 28], Operations: ['86-58=28'] Exploring Operation: 23+28=51, Resulting Numbers: [3, 51] Generated Node #0,2,0: 54:[3, 51] Operation: 23+28=51 Exploring Operation: 28-23=5, Resulting Numbers: [3, 5] Generated Node #0,2,1: 54:[3, 5] Operation: 28-23=5 Exploring Operation: 23-3=20, Resulting Numbers: [28, 20] Generated Node #0,2,2: 54:[28, 20] Operation: 23-3=20 Exploring Operation: 23+3=26, Resulting Numbers: [28, 26] Generated Node #0,2,3: 54:[28, 26] Operation: 23+3=26 Moving to Node #0,1 Current State: 54:[3, 58, 63], Operations: ['86-23=63'] Exploring Operation: 58-3=55, Resulting Numbers: [63, 55] Generated Node #0,1,0: 54:[63, 55] Operation: 58-3=55 Exploring Operation: 63-58=5, Resulting Numbers: [3, 5] Generated Node #0,1,1: 54:[3, 5] Operation: 63-58=5 Exploring Operation: 63-3=60, Resulting Numbers: [58, 60] Generated Node #0,1,2: 54:[58, 60] Operation: 63-3=60 Exploring Operation: 63/3=21, Resulting Numbers: [58, 21] Generated Node #0,1,3: 54:[58, 21] Operation: 63/3=21 Moving to Node #0,3 Current State: 54:[86, 58, 26], Operations: ['23+3=26'] Exploring Operation: 86+26=112, Resulting Numbers: [58, 112] Generated Node #0,3,0: 54:[58, 112] Operation: 86+26=112 Exploring Operation: 58-26=32, Resulting Numbers: [86, 32] Generated Node #0,3,1: 54:[86, 32] Operation: 58-26=32 Exploring Operation: 86-26=60, Resulting Numbers: [58, 60] Generated Node #0,3,2: 54:[58, 60] Operation: 86-26=60 Exploring Operation: 86-58=28, Resulting Numbers: [26, 28] Generated Node #0,3,3: 54:[26, 28] Operation: 86-58=28 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 54:[26, 28], Operations: ['23+3=26', '86-58=28'] Exploring Operation: 26+28=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[23, 86, 3, 58], Operations: [] Exploring Operation: 23+3=26, Resulting Numbers: [86, 58, 26] Generated Node #0,3: 54:[86, 58, 26] Operation: 23+3=26 Moving to Node #0,3 Current State: 54:[86, 58, 26], Operations: ['23+3=26'] Exploring Operation: 86-58=28, Resulting Numbers: [26, 28] Generated Node #0,3,3: 54:[26, 28] Operation: 86-58=28 Moving to Node #0,3,3 Current State: 54:[26, 28], Operations: ['23+3=26', '86-58=28'] Exploring Operation: 26+28=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1	0.981771	hs_4	mult_heuristic
[ 23, 69, 24, 96 ]	50	[ "69-23=46", "96/24=4", "46+4=50" ]	Current State: 50:[23, 69, 24, 96], Operations: [] Exploring Operation: 69-23=46, Resulting Numbers: [24, 96, 46] Generated Node #2: [24, 96, 46] from Operation: 69-23=46 Current State: 50:[24, 96, 46], Operations: ['69-23=46'] Exploring Operation: 96/24=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 96/24=4 Current State: 50:[46, 4], Operations: ['69-23=46', '96/24=4'] Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	4	Current State: 50:[23, 69, 24, 96], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [23, 69, 4] Generated Node #0,0: 50:[23, 69, 4] Operation: 96/24=4 Exploring Operation: 96-24=72, Resulting Numbers: [23, 69, 72] Generated Node #0,1: 50:[23, 69, 72] Operation: 96-24=72 Exploring Operation: 96-23=73, Resulting Numbers: [69, 24, 73] Generated Node #0,2: 50:[69, 24, 73] Operation: 96-23=73 Exploring Operation: 96-69=27, Resulting Numbers: [23, 24, 27] Generated Node #0,3: 50:[23, 24, 27] Operation: 96-69=27 Moving to Node #0,3 Current State: 50:[23, 24, 27], Operations: ['96-69=27'] Exploring Operation: 24-23=1, Resulting Numbers: [27, 1] Generated Node #0,3,0: 50:[27, 1] Operation: 24-23=1 Exploring Operation: 27-23=4, Resulting Numbers: [24, 4] Generated Node #0,3,1: 50:[24, 4] Operation: 27-23=4 Exploring Operation: 24+27=51, Resulting Numbers: [23, 51] Generated Node #0,3,2: 50:[23, 51] Operation: 24+27=51 Exploring Operation: 23+27=50, Resulting Numbers: [24, 50] Generated Node #0,3,3: 50:[24, 50] Operation: 23+27=50 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 50:[24, 50], Operations: ['96-69=27', '23+27=50'] Exploring Operation: 50-24=26, Resulting Numbers: [26] 26,50 unequal: No Solution Exploring Operation: 24+50=74, Resulting Numbers: [74] 74,50 unequal: No Solution Exploring Operation: 2450=1200, Resulting Numbers: [1200] 1200,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 50:[24, 4], Operations: ['96-69=27', '27-23=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,50 unequal: No Solution Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,50 unequal: No Solution Exploring Operation: 244=96, Resulting Numbers: [96] 96,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 50:[27, 1], Operations: ['96-69=27', '24-23=1'] Exploring Operation: 27/1=27, Resulting Numbers: [27] 27,50 unequal: No Solution Exploring Operation: 271=27, Resulting Numbers: [27] 27,50 unequal: No Solution Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,50 unequal: No Solution Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 50:[23, 51], Operations: ['96-69=27', '24+27=51'] Exploring Operation: 2351=1173, Resulting Numbers: [1173] 1173,50 unequal: No Solution Exploring Operation: 51-23=28, Resulting Numbers: [28] 28,50 unequal: No Solution Exploring Operation: 23+51=74, Resulting Numbers: [74] 74,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 50:[23, 69, 4], Operations: ['96/24=4'] Exploring Operation: 69-23=46, Resulting Numbers: [4, 46] Generated Node #0,0,0: 50:[4, 46] Operation: 69-23=46 Exploring Operation: 23+4=27, Resulting Numbers: [69, 27] Generated Node #0,0,1: 50:[69, 27] Operation: 23+4=27 Exploring Operation: 69-4=65, Resulting Numbers: [23, 65] Generated Node #0,0,2: 50:[23, 65] Operation: 69-4=65 Exploring Operation: 69/23=3, Resulting Numbers: [4, 3] Generated Node #0,0,3: 50:[4, 3] Operation: 69/23=3 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 50:[4, 3], Operations: ['96/24=4', '69/23=3'] Exploring Operation: 4+3=7, Resulting Numbers: [7] 7,50 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,50 unequal: No Solution Exploring Operation: 43=12, Resulting Numbers: [12] 12,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 50:[4, 46], Operations: ['96/24=4', '69-23=46'] Exploring Operation: 446=184, Resulting Numbers: [184] 184,50 unequal: No Solution Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[23, 69, 24, 96], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [23, 69, 4] Generated Node #0,0: 50:[23, 69, 4] Operation: 96/24=4 Moving to Node #0,0 Current State: 50:[23, 69, 4], Operations: ['96/24=4'] Exploring Operation: 69-23=46, Resulting Numbers: [4, 46] Generated Node #0,0,0: 50:[4, 46] Operation: 69-23=46 Moving to Node #0,0,0 Current State: 50:[4, 46], Operations: ['96/24=4', '69-23=46'] Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 1	0.969618	hs_4	sum_heuristic
[ 48, 22, 6, 80 ]	43	[ "22-6=16", "80/16=5", "48-5=43" ]	Current State: 43:[48, 22, 6, 80], Operations: [] Exploring Operation: 22-6=16, Resulting Numbers: [48, 80, 16] Generated Node #2: [48, 80, 16] from Operation: 22-6=16 Current State: 43:[48, 80, 16], Operations: ['22-6=16'] Exploring Operation: 80/16=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 80/16=5 Current State: 43:[48, 5], Operations: ['22-6=16', '80/16=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached	4	Current State: 43:[48, 22, 6, 80], Operations: [] Exploring Operation: 80-22=58, Resulting Numbers: [48, 6, 58] Generated Node #0,0: 43:[48, 6, 58] Operation: 80-22=58 Exploring Operation: 22+6=28, Resulting Numbers: [48, 80, 28] Generated Node #0,1: 43:[48, 80, 28] Operation: 22+6=28 Moving to Node #0,0 Current State: 43:[48, 6, 58], Operations: ['80-22=58'] Exploring Operation: 48-6=42, Resulting Numbers: [58, 42] Generated Node #0,0,0: 43:[58, 42] Operation: 48-6=42 Exploring Operation: 58-6=52, Resulting Numbers: [48, 52] Generated Node #0,0,1: 43:[48, 52] Operation: 58-6=52 Moving to Node #0,1 Current State: 43:[48, 80, 28], Operations: ['22+6=28'] Exploring Operation: 80-28=52, Resulting Numbers: [48, 52] Generated Node #0,1,0: 43:[48, 52] Operation: 80-28=52 Exploring Operation: 80-48=32, Resulting Numbers: [28, 32] Generated Node #0,1,1: 43:[28, 32] Operation: 80-48=32 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 43:[48, 52], Operations: ['22+6=28', '80-28=52'] Exploring Operation: 48+52=100, Resulting Numbers: [100] 100,43 unequal: No Solution Exploring Operation: 52-48=4, Resulting Numbers: [4] 4,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 43:[28, 32], Operations: ['22+6=28', '80-48=32'] Exploring Operation: 28+32=60, Resulting Numbers: [60] 60,43 unequal: No Solution Exploring Operation: 32-28=4, Resulting Numbers: [4] 4,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 43:[48, 52], Operations: ['80-22=58', '58-6=52'] Exploring Operation: 52-48=4, Resulting Numbers: [4] 4,43 unequal: No Solution Exploring Operation: 48+52=100, Resulting Numbers: [100] 100,43 unequal: No Solution Moving to Node #0,0,0 Current State: 43:[58, 42], Operations: ['80-22=58', '48-6=42'] Exploring Operation: 58+42=100, Resulting Numbers: [100] 100,43 unequal: No Solution Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,43 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 8, 5, 39, 50 ]	93	[ "50-39=11", "8*11=88", "5+88=93" ]	Current State: 93:[8, 5, 39, 50], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [8, 5, 11] Generated Node #2: [8, 5, 11] from Operation: 50-39=11 Current State: 93:[8, 5, 11], Operations: ['50-39=11'] Exploring Operation: 811=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 811=88 Current State: 93:[5, 88], Operations: ['50-39=11', '8*11=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached	4	Current State: 93:[8, 5, 39, 50], Operations: [] Exploring Operation: 39+50=89, Resulting Numbers: [8, 5, 89] Generated Node #0,0: 93:[8, 5, 89] Operation: 39+50=89 Moving to Node #0,0 Current State: 93:[8, 5, 89], Operations: ['39+50=89'] Exploring Operation: 8-5=3, Resulting Numbers: [89, 3] Generated Node #0,0,0: 93:[89, 3] Operation: 8-5=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 93:[89, 3], Operations: ['39+50=89', '8-5=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 87, 88, 80, 7 ]	63	[ "88+80=168", "168/7=24", "87-24=63" ]	Current State: 63:[87, 88, 80, 7], Operations: [] Exploring Operation: 88+80=168, Resulting Numbers: [87, 7, 168] Generated Node #2: [87, 7, 168] from Operation: 88+80=168 Current State: 63:[87, 7, 168], Operations: ['88+80=168'] Exploring Operation: 168/7=24, Resulting Numbers: [87, 24] Generated Node #3: [87, 24] from Operation: 168/7=24 Current State: 63:[87, 24], Operations: ['88+80=168', '168/7=24'] Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached	4	Current State: 63:[87, 88, 80, 7], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [80, 7, 1] Generated Node #0,0: 63:[80, 7, 1] Operation: 88-87=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 63:[80, 7, 1], Operations: ['88-87=1'] Exploring Operation: 80-7=73, Resulting Numbers: [1, 73] Generated Node #0,0,0: 63:[1, 73] Operation: 80-7=73 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 63:[1, 73], Operations: ['88-87=1', '80-7=73'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,63 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 23, 65, 20, 57 ]	79	[ "65-23=42", "57-20=37", "42+37=79" ]	Current State: 79:[23, 65, 20, 57], Operations: [] Exploring Operation: 65-23=42, Resulting Numbers: [20, 57, 42] Generated Node #2: [20, 57, 42] from Operation: 65-23=42 Current State: 79:[20, 57, 42], Operations: ['65-23=42'] Exploring Operation: 57-20=37, Resulting Numbers: [42, 37] Generated Node #3: [42, 37] from Operation: 57-20=37 Current State: 79:[42, 37], Operations: ['65-23=42', '57-20=37'] Exploring Operation: 42+37=79, Resulting Numbers: [79] 79,79 equal: Goal Reached	4	Current State: 79:[23, 65, 20, 57], Operations: [] Exploring Operation: 23+20=43, Resulting Numbers: [65, 57, 43] Generated Node #0,0: 79:[65, 57, 43] Operation: 23+20=43 Exploring Operation: 20+57=77, Resulting Numbers: [23, 65, 77] Generated Node #0,1: 79:[23, 65, 77] Operation: 20+57=77 Moving to Node #0,0 Current State: 79:[65, 57, 43], Operations: ['23+20=43'] Exploring Operation: 57+43=100, Resulting Numbers: [65, 100] Generated Node #0,0,0: 79:[65, 100] Operation: 57+43=100 Exploring Operation: 65+43=108, Resulting Numbers: [57, 108] Generated Node #0,0,1: 79:[57, 108] Operation: 65+43=108 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 79:[65, 100], Operations: ['23+20=43', '57+43=100'] Exploring Operation: 100-65=35, Resulting Numbers: [35] 35,79 unequal: No Solution Exploring Operation: 65+100=165, Resulting Numbers: [165] 165,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 79:[57, 108], Operations: ['23+20=43', '65+43=108'] Exploring Operation: 57+108=165, Resulting Numbers: [165] 165,79 unequal: No Solution Exploring Operation: 108-57=51, Resulting Numbers: [51] 51,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 79:[23, 65, 77], Operations: ['20+57=77'] Exploring Operation: 23+65=88, Resulting Numbers: [77, 88] Generated Node #0,1,0: 79:[77, 88] Operation: 23+65=88 Exploring Operation: 23+77=100, Resulting Numbers: [65, 100] Generated Node #0,1,1: 79:[65, 100] Operation: 23+77=100 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 79:[77, 88], Operations: ['20+57=77', '23+65=88'] Exploring Operation: 88-77=11, Resulting Numbers: [11] 11,79 unequal: No Solution Exploring Operation: 77+88=165, Resulting Numbers: [165] 165,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 79:[65, 100], Operations: ['20+57=77', '23+77=100'] Exploring Operation: 100-65=35, Resulting Numbers: [35] 35,79 unequal: No Solution Exploring Operation: 65+100=165, Resulting Numbers: [165] 165,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 15, 44, 96, 21 ]	49	[ "96-21=75", "75/15=5", "44+5=49" ]	Current State: 49:[15, 44, 96, 21], Operations: [] Exploring Operation: 96-21=75, Resulting Numbers: [15, 44, 75] Generated Node #2: [15, 44, 75] from Operation: 96-21=75 Current State: 49:[15, 44, 75], Operations: ['96-21=75'] Exploring Operation: 75/15=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 75/15=5 Current State: 49:[44, 5], Operations: ['96-21=75', '75/15=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached	4	Current State: 49:[15, 44, 96, 21], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [44, 96, 6] Generated Node #0,0: 49:[44, 96, 6] Operation: 21-15=6 Exploring Operation: 96-21=75, Resulting Numbers: [15, 44, 75] Generated Node #0,1: 49:[15, 44, 75] Operation: 96-21=75 Exploring Operation: 96-44=52, Resulting Numbers: [15, 21, 52] Generated Node #0,2: 49:[15, 21, 52] Operation: 96-44=52 Exploring Operation: 15+21=36, Resulting Numbers: [44, 96, 36] Generated Node #0,3: 49:[44, 96, 36] Operation: 15+21=36 Exploring Operation: 96-15=81, Resulting Numbers: [44, 21, 81] Generated Node #0,4: 49:[44, 21, 81] Operation: 96-15=81 Moving to Node #0,2 Current State: 49:[15, 21, 52], Operations: ['96-44=52'] Exploring Operation: 52-15=37, Resulting Numbers: [21, 37] Generated Node #0,2,0: 49:[21, 37] Operation: 52-15=37 Exploring Operation: 15+52=67, Resulting Numbers: [21, 67] Generated Node #0,2,1: 49:[21, 67] Operation: 15+52=67 Exploring Operation: 15+21=36, Resulting Numbers: [52, 36] Generated Node #0,2,2: 49:[52, 36] Operation: 15+21=36 Exploring Operation: 21-15=6, Resulting Numbers: [52, 6] Generated Node #0,2,3: 49:[52, 6] Operation: 21-15=6 Exploring Operation: 52-21=31, Resulting Numbers: [15, 31] Generated Node #0,2,4: 49:[15, 31] Operation: 52-21=31 Moving to Node #0,1 Current State: 49:[15, 44, 75], Operations: ['96-21=75'] Exploring Operation: 75/15=5, Resulting Numbers: [44, 5] Generated Node #0,1,0: 49:[44, 5] Operation: 75/15=5 Exploring Operation: 44-15=29, Resulting Numbers: [75, 29] Generated Node #0,1,1: 49:[75, 29] Operation: 44-15=29 Exploring Operation: 15+44=59, Resulting Numbers: [75, 59] Generated Node #0,1,2: 49:[75, 59] Operation: 15+44=59 Exploring Operation: 75-44=31, Resulting Numbers: [15, 31] Generated Node #0,1,3: 49:[15, 31] Operation: 75-44=31 Exploring Operation: 75-15=60, Resulting Numbers: [44, 60] Generated Node #0,1,4: 49:[44, 60] Operation: 75-15=60 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 49:[44, 5], Operations: ['96-21=75', '75/15=5'] Exploring Operation: 44*5=220, Resulting Numbers: [220] 220,49 unequal: No Solution Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[15, 44, 96, 21], Operations: [] Exploring Operation: 96-21=75, Resulting Numbers: [15, 44, 75] Generated Node #0,1: 49:[15, 44, 75] Operation: 96-21=75 Moving to Node #0,1 Current State: 49:[15, 44, 75], Operations: ['96-21=75'] Exploring Operation: 75/15=5, Resulting Numbers: [44, 5] Generated Node #0,1,0: 49:[44, 5] Operation: 75/15=5 Moving to Node #0,1,0 Current State: 49:[44, 5], Operations: ['96-21=75', '75/15=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 1	0.981771	hs_5	mult_heuristic
[ 57, 28, 21, 95 ]	31	[ "57+28=85", "21+95=116", "116-85=31" ]	Current State: 31:[57, 28, 21, 95], Operations: [] Exploring Operation: 57+28=85, Resulting Numbers: [21, 95, 85] Generated Node #2: [21, 95, 85] from Operation: 57+28=85 Current State: 31:[21, 95, 85], Operations: ['57+28=85'] Exploring Operation: 21+95=116, Resulting Numbers: [85, 116] Generated Node #3: [85, 116] from Operation: 21+95=116 Current State: 31:[85, 116], Operations: ['57+28=85', '21+95=116'] Exploring Operation: 116-85=31, Resulting Numbers: [31] 31,31 equal: Goal Reached	4	Current State: 31:[57, 28, 21, 95], Operations: [] Exploring Operation: 95-28=67, Resulting Numbers: [57, 21, 67] Generated Node #0,0: 31:[57, 21, 67] Operation: 95-28=67 Exploring Operation: 95-57=38, Resulting Numbers: [28, 21, 38] Generated Node #0,1: 31:[28, 21, 38] Operation: 95-57=38 Exploring Operation: 95-21=74, Resulting Numbers: [57, 28, 74] Generated Node #0,2: 31:[57, 28, 74] Operation: 95-21=74 Exploring Operation: 57-28=29, Resulting Numbers: [21, 95, 29] Generated Node #0,3: 31:[21, 95, 29] Operation: 57-28=29 Exploring Operation: 57-21=36, Resulting Numbers: [28, 95, 36] Generated Node #0,4: 31:[28, 95, 36] Operation: 57-21=36 Start Sub Search at level 1: Moving to Node #0,1 Current State: 31:[28, 21, 38], Operations: ['95-57=38'] Exploring Operation: 21+38=59, Resulting Numbers: [28, 59] Generated Node #0,1,0: 31:[28, 59] Operation: 21+38=59 Exploring Operation: 28-21=7, Resulting Numbers: [38, 7] Generated Node #0,1,1: 31:[38, 7] Operation: 28-21=7 Exploring Operation: 28+21=49, Resulting Numbers: [38, 49] Generated Node #0,1,2: 31:[38, 49] Operation: 28+21=49 Exploring Operation: 38-28=10, Resulting Numbers: [21, 10] Generated Node #0,1,3: 31:[21, 10] Operation: 38-28=10 Exploring Operation: 38-21=17, Resulting Numbers: [28, 17] Generated Node #0,1,4: 31:[28, 17] Operation: 38-21=17 Moving to Node #0,1,4 Current State: 31:[28, 17], Operations: ['95-57=38', '38-21=17'] Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,31 unequal: No Solution Exploring Operation: 2817=476, Resulting Numbers: [476] 476,31 unequal: No Solution Exploring Operation: 28+17=45, Resulting Numbers: [45] 45,31 unequal: No Solution Moving to Node #0,1,2 Current State: 31:[38, 49], Operations: ['95-57=38', '28+21=49'] Exploring Operation: 49-38=11, Resulting Numbers: [11] 11,31 unequal: No Solution Exploring Operation: 38+49=87, Resulting Numbers: [87] 87,31 unequal: No Solution Exploring Operation: 3849=1862, Resulting Numbers: [1862] 1862,31 unequal: No Solution Moving to Node #0,1,0 Current State: 31:[28, 59], Operations: ['95-57=38', '21+38=59'] Exploring Operation: 59-28=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[57, 28, 21, 95], Operations: [] Exploring Operation: 95-57=38, Resulting Numbers: [28, 21, 38] Generated Node #0,1: 31:[28, 21, 38] Operation: 95-57=38 Moving to Node #0,1 Current State: 31:[28, 21, 38], Operations: ['95-57=38'] Exploring Operation: 21+38=59, Resulting Numbers: [28, 59] Generated Node #0,1,0: 31:[28, 59] Operation: 21+38=59 Moving to Node #0,1,0 Current State: 31:[28, 59], Operations: ['95-57=38', '21+38=59'] Exploring Operation: 59-28=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1	0.981771	hs_5	sum_heuristic
[ 4, 50, 33, 20 ]	63	[ "4*20=80", "50-33=17", "80-17=63" ]	Current State: 63:[4, 50, 33, 20], Operations: [] Exploring Operation: 420=80, Resulting Numbers: [50, 33, 80] Generated Node #2: [50, 33, 80] from Operation: 420=80 Current State: 63:[50, 33, 80], Operations: ['420=80'] Exploring Operation: 50-33=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 50-33=17 Current State: 63:[80, 17], Operations: ['420=80', '50-33=17'] Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached	4	Current State: 63:[4, 50, 33, 20], Operations: [] Exploring Operation: 50-33=17, Resulting Numbers: [4, 20, 17] Generated Node #0,0: 63:[4, 20, 17] Operation: 50-33=17 Exploring Operation: 33-20=13, Resulting Numbers: [4, 50, 13] Generated Node #0,1: 63:[4, 50, 13] Operation: 33-20=13 Moving to Node #0,0 Current State: 63:[4, 20, 17], Operations: ['50-33=17'] Exploring Operation: 4+17=21, Resulting Numbers: [20, 21] Generated Node #0,0,0: 63:[20, 21] Operation: 4+17=21 Exploring Operation: 20-17=3, Resulting Numbers: [4, 3] Generated Node #0,0,1: 63:[4, 3] Operation: 20-17=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 63:[20, 21], Operations: ['50-33=17', '4+17=21'] Exploring Operation: 21-20=1, Resulting Numbers: [1] 1,63 unequal: No Solution Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 63:[4, 3], Operations: ['50-33=17', '20-17=3'] Exploring Operation: 4+3=7, Resulting Numbers: [7] 7,63 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 63:[4, 50, 13], Operations: ['33-20=13'] Exploring Operation: 4+50=54, Resulting Numbers: [13, 54] Generated Node #0,1,0: 63:[13, 54] Operation: 4+50=54 Exploring Operation: 50+13=63, Resulting Numbers: [4, 63] Generated Node #0,1,1: 63:[4, 63] Operation: 50+13=63 Moving to Node #0,1,1 Current State: 63:[4, 63], Operations: ['33-20=13', '50+13=63'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,63 unequal: No Solution Exploring Operation: 4+63=67, Resulting Numbers: [67] 67,63 unequal: No Solution Moving to Node #0,1,0 Current State: 63:[13, 54], Operations: ['33-20=13', '4+50=54'] Exploring Operation: 13+54=67, Resulting Numbers: [67] 67,63 unequal: No Solution Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,63 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 38, 23, 13, 2 ]	11	[ "38-23=15", "13*2=26", "26-15=11" ]	Current State: 11:[38, 23, 13, 2], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [13, 2, 15] Generated Node #2: [13, 2, 15] from Operation: 38-23=15 Current State: 11:[13, 2, 15], Operations: ['38-23=15'] Exploring Operation: 132=26, Resulting Numbers: [15, 26] Generated Node #3: [15, 26] from Operation: 132=26 Current State: 11:[15, 26], Operations: ['38-23=15', '13*2=26'] Exploring Operation: 26-15=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	4	Current State: 11:[38, 23, 13, 2], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [23, 13, 19] Generated Node #0,0: 11:[23, 13, 19] Operation: 38/2=19 Exploring Operation: 38-23=15, Resulting Numbers: [13, 2, 15] Generated Node #0,1: 11:[13, 2, 15] Operation: 38-23=15 Exploring Operation: 38-13=25, Resulting Numbers: [23, 2, 25] Generated Node #0,2: 11:[23, 2, 25] Operation: 38-13=25 Moving to Node #0,1 Current State: 11:[13, 2, 15], Operations: ['38-23=15'] Exploring Operation: 15-2=13, Resulting Numbers: [13, 13] Generated Node #0,1,0: 11:[13, 13] Operation: 15-2=13 Exploring Operation: 13+2=15, Resulting Numbers: [15, 15] Generated Node #0,1,1: 11:[15, 15] Operation: 13+2=15 Exploring Operation: 13-2=11, Resulting Numbers: [15, 11] Generated Node #0,1,2: 11:[15, 11] Operation: 13-2=11 Moving to Node #0,0 Current State: 11:[23, 13, 19], Operations: ['38/2=19'] Exploring Operation: 19-13=6, Resulting Numbers: [23, 6] Generated Node #0,0,0: 11:[23, 6] Operation: 19-13=6 Exploring Operation: 23-19=4, Resulting Numbers: [13, 4] Generated Node #0,0,1: 11:[13, 4] Operation: 23-19=4 Exploring Operation: 23-13=10, Resulting Numbers: [19, 10] Generated Node #0,0,2: 11:[19, 10] Operation: 23-13=10 Moving to Node #0,2 Current State: 11:[23, 2, 25], Operations: ['38-13=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23, 23] Generated Node #0,2,0: 11:[23, 23] Operation: 25-2=23 Exploring Operation: 25-23=2, Resulting Numbers: [2, 2] Generated Node #0,2,1: 11:[2, 2] Operation: 25-23=2 Exploring Operation: 23-2=21, Resulting Numbers: [25, 21] Generated Node #0,2,2: 11:[25, 21] Operation: 23-2=21 Moving to Node #0,1,0 Current State: 11:[13, 13], Operations: ['38-23=15', '15-2=13'] Exploring Operation: 13/13=1, Resulting Numbers: [1] 1,11 unequal: No Solution Exploring Operation: 13+13=26, Resulting Numbers: [26] 26,11 unequal: No Solution Exploring Operation: 13-13=0, Resulting Numbers: [0] 0,11 unequal: No Solution Moving to Node #0,1,2 Current State: 11:[15, 11], Operations: ['38-23=15', '13-2=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,11 unequal: No Solution Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 1511=165, Resulting Numbers: [165] 165,11 unequal: No Solution Moving to Node #0,1,1 Current State: 11:[15, 15], Operations: ['38-23=15', '13+2=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,11 unequal: No Solution Exploring Operation: 15-15=0, Resulting Numbers: [0] 0,11 unequal: No Solution Exploring Operation: 15/15=1, Resulting Numbers: [1] 1,11 unequal: No Solution Moving to Node #0,0,2 Current State: 11:[19, 10], Operations: ['38/2=19', '23-13=10'] Exploring Operation: 19-10=9, Resulting Numbers: [9] 9,11 unequal: No Solution Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,11 unequal: No Solution Exploring Operation: 1910=190, Resulting Numbers: [190] 190,11 unequal: No Solution Moving to Node #0,0,1 Current State: 11:[13, 4], Operations: ['38/2=19', '23-19=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,11 unequal: No Solution Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,11 unequal: No Solution Exploring Operation: 134=52, Resulting Numbers: [52] 52,11 unequal: No Solution Moving to Node #0,0,0 Current State: 11:[23, 6], Operations: ['38/2=19', '19-13=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,11 unequal: No Solution Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,11 unequal: No Solution Exploring Operation: 236=138, Resulting Numbers: [138] 138,11 unequal: No Solution Moving to Node #0,2,1 Current State: 11:[2, 2], Operations: ['38-13=25', '25-23=2'] Exploring Operation: 22=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,11 unequal: No Solution Moving to Node #0,2,0 Current State: 11:[23, 23], Operations: ['38-13=25', '25-2=23'] Exploring Operation: 23/23=1, Resulting Numbers: [1] 1,11 unequal: No Solution Exploring Operation: 23+23=46, Resulting Numbers: [46] 46,11 unequal: No Solution Exploring Operation: 23-23=0, Resulting Numbers: [0] 0,11 unequal: No Solution Moving to Node #0,2,2 Current State: 11:[25, 21], Operations: ['38-13=25', '23-2=21'] Exploring Operation: 25-21=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,11 unequal: No Solution Exploring Operation: 2521=525, Resulting Numbers: [525] 525,11 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 54, 19, 35, 28 ]	66	[ "54+19=73", "35-28=7", "73-7=66" ]	Current State: 66:[54, 19, 35, 28], Operations: [] Exploring Operation: 54+19=73, Resulting Numbers: [35, 28, 73] Generated Node #2: [35, 28, 73] from Operation: 54+19=73 Current State: 66:[35, 28, 73], Operations: ['54+19=73'] Exploring Operation: 35-28=7, Resulting Numbers: [73, 7] Generated Node #3: [73, 7] from Operation: 35-28=7 Current State: 66:[73, 7], Operations: ['54+19=73', '35-28=7'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached	4	Current State: 66:[54, 19, 35, 28], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [35, 28, 35] Generated Node #0,0: 66:[35, 28, 35] Operation: 54-19=35 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[35, 28, 35], Operations: ['54-19=35'] Exploring Operation: 35-28=7, Resulting Numbers: [35, 7] Generated Node #0,0,0: 66:[35, 7] Operation: 35-28=7 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 66:[35, 7], Operations: ['54-19=35', '35-28=7'] Exploring Operation: 35/7=5, Resulting Numbers: [5] 5,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 93, 58, 2, 33 ]	89	[ "93-33=60", "58/2=29", "60+29=89" ]	Current State: 89:[93, 58, 2, 33], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [58, 2, 60] Generated Node #2: [58, 2, 60] from Operation: 93-33=60 Current State: 89:[58, 2, 60], Operations: ['93-33=60'] Exploring Operation: 58/2=29, Resulting Numbers: [60, 29] Generated Node #3: [60, 29] from Operation: 58/2=29 Current State: 89:[60, 29], Operations: ['93-33=60', '58/2=29'] Exploring Operation: 60+29=89, Resulting Numbers: [89] 89,89 equal: Goal Reached	4	Current State: 89:[93, 58, 2, 33], Operations: [] Exploring Operation: 233=66, Resulting Numbers: [93, 58, 66] Generated Node #0,0: 89:[93, 58, 66] Operation: 233=66 Start Sub Search at level 1: Moving to Node #0,0 Current State: 89:[93, 58, 66], Operations: ['233=66'] Exploring Operation: 58+66=124, Resulting Numbers: [93, 124] Generated Node #0,0,0: 89:[93, 124] Operation: 58+66=124 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 89:[93, 124], Operations: ['233=66', '58+66=124'] Exploring Operation: 124-93=31, Resulting Numbers: [31] 31,89 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 21, 19, 90, 46 ]	22	[ "21-19=2", "90-46=44", "44/2=22" ]	Current State: 22:[21, 19, 90, 46], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [90, 46, 2] Generated Node #2: [90, 46, 2] from Operation: 21-19=2 Current State: 22:[90, 46, 2], Operations: ['21-19=2'] Exploring Operation: 90-46=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 90-46=44 Current State: 22:[2, 44], Operations: ['21-19=2', '90-46=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[21, 19, 90, 46], Operations: [] Exploring Operation: 90-21=69, Resulting Numbers: [19, 46, 69] Generated Node #0,0: 22:[19, 46, 69] Operation: 90-21=69 Exploring Operation: 90-19=71, Resulting Numbers: [21, 46, 71] Generated Node #0,1: 22:[21, 46, 71] Operation: 90-19=71 Exploring Operation: 90-46=44, Resulting Numbers: [21, 19, 44] Generated Node #0,2: 22:[21, 19, 44] Operation: 90-46=44 Exploring Operation: 46-21=25, Resulting Numbers: [19, 90, 25] Generated Node #0,3: 22:[19, 90, 25] Operation: 46-21=25 Moving to Node #0,2 Current State: 22:[21, 19, 44], Operations: ['90-46=44'] Exploring Operation: 21+19=40, Resulting Numbers: [44, 40] Generated Node #0,2,0: 22:[44, 40] Operation: 21+19=40 Exploring Operation: 44-21=23, Resulting Numbers: [19, 23] Generated Node #0,2,1: 22:[19, 23] Operation: 44-21=23 Exploring Operation: 44-19=25, Resulting Numbers: [21, 25] Generated Node #0,2,2: 22:[21, 25] Operation: 44-19=25 Exploring Operation: 21-19=2, Resulting Numbers: [44, 2] Generated Node #0,2,3: 22:[44, 2] Operation: 21-19=2 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 22:[19, 23], Operations: ['90-46=44', '44-21=23'] Exploring Operation: 19+23=42, Resulting Numbers: [42] 42,22 unequal: No Solution Exploring Operation: 23-19=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 1923=437, Resulting Numbers: [437] 437,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 22:[21, 25], Operations: ['90-46=44', '44-19=25'] Exploring Operation: 2125=525, Resulting Numbers: [525] 525,22 unequal: No Solution Exploring Operation: 25-21=4, Resulting Numbers: [4] 4,22 unequal: No Solution Exploring Operation: 21+25=46, Resulting Numbers: [46] 46,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 22:[44, 2], Operations: ['90-46=44', '21-19=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[21, 19, 90, 46], Operations: [] Exploring Operation: 90-46=44, Resulting Numbers: [21, 19, 44] Generated Node #0,2: 22:[21, 19, 44] Operation: 90-46=44 Moving to Node #0,2 Current State: 22:[21, 19, 44], Operations: ['90-46=44'] Exploring Operation: 21-19=2, Resulting Numbers: [44, 2] Generated Node #0,2,3: 22:[44, 2] Operation: 21-19=2 Moving to Node #0,2,3 Current State: 22:[44, 2], Operations: ['90-46=44', '21-19=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1	0.983507	hs_4	sum_heuristic
[ 58, 58, 55, 88 ]	34	[ "58/58=1", "88-55=33", "1+33=34" ]	Current State: 34:[58, 58, 55, 88], Operations: [] Exploring Operation: 58/58=1, Resulting Numbers: [55, 88, 1] Generated Node #2: [55, 88, 1] from Operation: 58/58=1 Current State: 34:[55, 88, 1], Operations: ['58/58=1'] Exploring Operation: 88-55=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 88-55=33 Current State: 34:[1, 33], Operations: ['58/58=1', '88-55=33'] Exploring Operation: 1+33=34, Resulting Numbers: [34] 34,34 equal: Goal Reached	4	Current State: 34:[58, 58, 55, 88], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [58, 58, 33] Generated Node #0,0: 34:[58, 58, 33] Operation: 88-55=33 Exploring Operation: 88-58=30, Resulting Numbers: [58, 55, 30] Generated Node #0,1: 34:[58, 55, 30] Operation: 88-58=30 Exploring Operation: 88-58=30, Resulting Numbers: [58, 55, 30] Generated Node #0,2: 34:[58, 55, 30] Operation: 88-58=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 34:[58, 58, 33], Operations: ['88-55=33'] Exploring Operation: 58/58=1, Resulting Numbers: [33, 1] Generated Node #0,0,0: 34:[33, 1] Operation: 58/58=1 Exploring Operation: 58-58=0, Resulting Numbers: [33, 0] Generated Node #0,0,1: 34:[33, 0] Operation: 58-58=0 Exploring Operation: 58-33=25, Resulting Numbers: [58, 25] Generated Node #0,0,2: 34:[58, 25] Operation: 58-33=25 Moving to Node #0,0,0 Current State: 34:[33, 1], Operations: ['88-55=33', '58/58=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[58, 58, 55, 88], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [58, 58, 33] Generated Node #0,0: 34:[58, 58, 33] Operation: 88-55=33 Moving to Node #0,0 Current State: 34:[58, 58, 33], Operations: ['88-55=33'] Exploring Operation: 58/58=1, Resulting Numbers: [33, 1] Generated Node #0,0,0: 34:[33, 1] Operation: 58/58=1 Moving to Node #0,0,0 Current State: 34:[33, 1], Operations: ['88-55=33', '58/58=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Exit Sub Search at level 1	0.990451	hs_3	sum_heuristic
[ 3, 21, 19, 35 ]	24	[ "21/3=7", "35/7=5", "19+5=24" ]	Current State: 24:[3, 21, 19, 35], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [19, 35, 7] Generated Node #2: [19, 35, 7] from Operation: 21/3=7 Current State: 24:[19, 35, 7], Operations: ['21/3=7'] Exploring Operation: 35/7=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 35/7=5 Current State: 24:[19, 5], Operations: ['21/3=7', '35/7=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	4	Current State: 24:[3, 21, 19, 35], Operations: [] Exploring Operation: 3+19=22, Resulting Numbers: [21, 35, 22] Generated Node #0,0: 24:[21, 35, 22] Operation: 3+19=22 Exploring Operation: 35-19=16, Resulting Numbers: [3, 21, 16] Generated Node #0,1: 24:[3, 21, 16] Operation: 35-19=16 Exploring Operation: 35-21=14, Resulting Numbers: [3, 19, 14] Generated Node #0,2: 24:[3, 19, 14] Operation: 35-21=14 Exploring Operation: 21-19=2, Resulting Numbers: [3, 35, 2] Generated Node #0,3: 24:[3, 35, 2] Operation: 21-19=2 Exploring Operation: 3+21=24, Resulting Numbers: [19, 35, 24] Generated Node #0,4: 24:[19, 35, 24] Operation: 3+21=24 Moving to Node #0,1 Current State: 24:[3, 21, 16], Operations: ['35-19=16'] Exploring Operation: 21/3=7, Resulting Numbers: [16, 7] Generated Node #0,1,0: 24:[16, 7] Operation: 21/3=7 Exploring Operation: 21-16=5, Resulting Numbers: [3, 5] Generated Node #0,1,1: 24:[3, 5] Operation: 21-16=5 Exploring Operation: 3+16=19, Resulting Numbers: [21, 19] Generated Node #0,1,2: 24:[21, 19] Operation: 3+16=19 Exploring Operation: 16-3=13, Resulting Numbers: [21, 13] Generated Node #0,1,3: 24:[21, 13] Operation: 16-3=13 Exploring Operation: 3+21=24, Resulting Numbers: [16, 24] Generated Node #0,1,4: 24:[16, 24] Operation: 3+21=24 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 24:[3, 5], Operations: ['35-19=16', '21-16=5'] Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 35=15, Resulting Numbers: [15] 15,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 24:[21, 13], Operations: ['35-19=16', '16-3=13'] Exploring Operation: 2113=273, Resulting Numbers: [273] 273,24 unequal: No Solution Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 21+13=34, Resulting Numbers: [34] 34,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 24:[16, 24], Operations: ['35-19=16', '3+21=24'] Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,24 unequal: No Solution Exploring Operation: 1624=384, Resulting Numbers: [384] 384,24 unequal: No Solution Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 24:[16, 7], Operations: ['35-19=16', '21/3=7'] Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 16+7=23, Resulting Numbers: [23] 23,24 unequal: No Solution Exploring Operation: 167=112, Resulting Numbers: [112] 112,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 24:[21, 19], Operations: ['35-19=16', '3+16=19'] Exploring Operation: 21-19=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 2119=399, Resulting Numbers: [399] 399,24 unequal: No Solution Exploring Operation: 21+19=40, Resulting Numbers: [40] 40,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 24:[3, 19, 14], Operations: ['35-21=14'] Exploring Operation: 19+14=33, Resulting Numbers: [3, 33] Generated Node #0,2,0: 24:[3, 33] Operation: 19+14=33 Exploring Operation: 19-3=16, Resulting Numbers: [14, 16] Generated Node #0,2,1: 24:[14, 16] Operation: 19-3=16 Exploring Operation: 14-3=11, Resulting Numbers: [19, 11] Generated Node #0,2,2: 24:[19, 11] Operation: 14-3=11 Exploring Operation: 3+19=22, Resulting Numbers: [14, 22] Generated Node #0,2,3: 24:[14, 22] Operation: 3+19=22 Exploring Operation: 19-14=5, Resulting Numbers: [3, 5] Generated Node #0,2,4: 24:[3, 5] Operation: 19-14=5 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 24:[3, 5], Operations: ['35-21=14', '19-14=5'] Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 35=15, Resulting Numbers: [15] 15,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 24:[14, 22], Operations: ['35-21=14', '3+19=22'] Exploring Operation: 14+22=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 1422=308, Resulting Numbers: [308] 308,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 24:[14, 16], Operations: ['35-21=14', '19-3=16'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 1416=224, Resulting Numbers: [224] 224,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 24:[19, 11], Operations: ['35-21=14', '14-3=11'] Exploring Operation: 19+11=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 1911=209, Resulting Numbers: [209] 209,24 unequal: No Solution Exploring Operation: 19-11=8, Resulting Numbers: [8] 8,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 24:[3, 33], Operations: ['35-21=14', '19+14=33'] Exploring Operation: 333=99, Resulting Numbers: [99] 99,24 unequal: No Solution Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,24 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 24:[3, 35, 2], Operations: ['21-19=2'] Exploring Operation: 35-2=33, Resulting Numbers: [3, 33] Generated Node #0,3,0: 24:[3, 33] Operation: 35-2=33 Exploring Operation: 3-2=1, Resulting Numbers: [35, 1] Generated Node #0,3,1: 24:[35, 1] Operation: 3-2=1 Exploring Operation: 3+2=5, Resulting Numbers: [35, 5] Generated Node #0,3,2: 24:[35, 5] Operation: 3+2=5 Exploring Operation: 35-3=32, Resulting Numbers: [2, 32] Generated Node #0,3,3: 24:[2, 32] Operation: 35-3=32 Exploring Operation: 32=6, Resulting Numbers: [35, 6] Generated Node #0,3,4: 24:[35, 6] Operation: 32=6 Moving to Node #0,0 Current State: 24:[21, 35, 22], Operations: ['3+19=22'] Exploring Operation: 35-21=14, Resulting Numbers: [22, 14] Generated Node #0,0,0: 24:[22, 14] Operation: 35-21=14 Exploring Operation: 21+22=43, Resulting Numbers: [35, 43] Generated Node #0,0,1: 24:[35, 43] Operation: 21+22=43 Exploring Operation: 35-22=13, Resulting Numbers: [21, 13] Generated Node #0,0,2: 24:[21, 13] Operation: 35-22=13 Exploring Operation: 21+35=56, Resulting Numbers: [22, 56] Generated Node #0,0,3: 24:[22, 56] Operation: 21+35=56 Exploring Operation: 22-21=1, Resulting Numbers: [35, 1] Generated Node #0,0,4: 24:[35, 1] Operation: 22-21=1 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 24:[22, 14], Operations: ['3+19=22', '35-21=14'] Exploring Operation: 2214=308, Resulting Numbers: [308] 308,24 unequal: No Solution Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 24:[21, 13], Operations: ['3+19=22', '35-22=13'] Exploring Operation: 21+13=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 2113=273, Resulting Numbers: [273] 273,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 24:[35, 1], Operations: ['3+19=22', '22-21=1'] Exploring Operation: 351=35, Resulting Numbers: [35] 35,24 unequal: No Solution Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,24 unequal: No Solution Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 24:[35, 43], Operations: ['3+19=22', '21+22=43'] Exploring Operation: 35+43=78, Resulting Numbers: [78] 78,24 unequal: No Solution Exploring Operation: 3543=1505, Resulting Numbers: [1505] 1505,24 unequal: No Solution Exploring Operation: 43-35=8, Resulting Numbers: [8] 8,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 24:[22, 56], Operations: ['3+19=22', '21+35=56'] Exploring Operation: 2256=1232, Resulting Numbers: [1232] 1232,24 unequal: No Solution Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 22+56=78, Resulting Numbers: [78] 78,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 24:[19, 35, 24], Operations: ['3+21=24'] Exploring Operation: 24-19=5, Resulting Numbers: [35, 5] Generated Node #0,4,0: 24:[35, 5] Operation: 24-19=5 Exploring Operation: 19+35=54, Resulting Numbers: [24, 54] Generated Node #0,4,1: 24:[24, 54] Operation: 19+35=54 Exploring Operation: 35-24=11, Resulting Numbers: [19, 11] Generated Node #0,4,2: 24:[19, 11] Operation: 35-24=11 Exploring Operation: 35-19=16, Resulting Numbers: [24, 16] Generated Node #0,4,3: 24:[24, 16] Operation: 35-19=16 Exploring Operation: 19+24=43, Resulting Numbers: [35, 43] Generated Node #0,4,4: 24:[35, 43] Operation: 19+24=43 Moving to Node #0,4,3 Current State: 24:[24, 16], Operations: ['3+21=24', '35-19=16'] Exploring Operation: 2416=384, Resulting Numbers: [384] 384,24 unequal: No Solution Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 24+16=40, Resulting Numbers: [40] 40,24 unequal: No Solution Moving to Node #0,4,2 Current State: 24:[19, 11], Operations: ['3+21=24', '35-24=11'] Exploring Operation: 1911=209, Resulting Numbers: [209] 209,24 unequal: No Solution Exploring Operation: 19-11=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 19+11=30, Resulting Numbers: [30] 30,24 unequal: No Solution Moving to Node #0,3,3 Current State: 24:[2, 32], Operations: ['21-19=2', '35-3=32'] Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 232=64, Resulting Numbers: [64] 64,24 unequal: No Solution Moving to Node #0,3,0 Current State: 24:[3, 33], Operations: ['21-19=2', '35-2=33'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,24 unequal: No Solution Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 333=99, Resulting Numbers: [99] 99,24 unequal: No Solution Moving to Node #0,3,4 Current State: 24:[35, 6], Operations: ['21-19=2', '32=6'] Exploring Operation: 356=210, Resulting Numbers: [210] 210,24 unequal: No Solution Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,24 unequal: No Solution Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,24 unequal: No Solution Moving to Node #0,3,2 Current State: 24:[35, 5], Operations: ['21-19=2', '3+2=5'] Exploring Operation: 355=175, Resulting Numbers: [175] 175,24 unequal: No Solution Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,24 unequal: No Solution Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,24 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,24 unequal: No Solution Moving to Node #0,4,0 Current State: 24:[35, 5], Operations: ['3+21=24', '24-19=5'] Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,24 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 355=175, Resulting Numbers: [175] 175,24 unequal: No Solution Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,24 unequal: No Solution Moving to Node #0,3,1 Current State: 24:[35, 1], Operations: ['21-19=2', '3-2=1'] Exploring Operation: 351=35, Resulting Numbers: [35] 35,24 unequal: No Solution Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,24 unequal: No Solution Moving to Node #0,4,4 Current State: 24:[35, 43], Operations: ['3+21=24', '19+24=43'] Exploring Operation: 3543=1505, Resulting Numbers: [1505] 1505,24 unequal: No Solution Exploring Operation: 43-35=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 35+43=78, Resulting Numbers: [78] 78,24 unequal: No Solution Moving to Node #0,4,1 Current State: 24:[24, 54], Operations: ['3+21=24', '19+35=54'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 2454=1296, Resulting Numbers: [1296] 1296,24 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,24 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 93, 24, 31, 56 ]	35	[ "93/31=3", "56-24=32", "3+32=35" ]	Current State: 35:[93, 24, 31, 56], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [24, 56, 3] Generated Node #2: [24, 56, 3] from Operation: 93/31=3 Current State: 35:[24, 56, 3], Operations: ['93/31=3'] Exploring Operation: 56-24=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 56-24=32 Current State: 35:[3, 32], Operations: ['93/31=3', '56-24=32'] Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[93, 24, 31, 56], Operations: [] Exploring Operation: 93-56=37, Resulting Numbers: [24, 31, 37] Generated Node #0,0: 35:[24, 31, 37] Operation: 93-56=37 Start Sub Search at level 1: Moving to Node #0,0 Current State: 35:[24, 31, 37], Operations: ['93-56=37'] Exploring Operation: 31-24=7, Resulting Numbers: [37, 7] Generated Node #0,0,0: 35:[37, 7] Operation: 31-24=7 Moving to Node #0,0,0 Current State: 35:[37, 7], Operations: ['93-56=37', '31-24=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 99, 20, 6, 33 ]	29	[ "99/33=3", "20+6=26", "3+26=29" ]	Current State: 29:[99, 20, 6, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [20, 6, 3] Generated Node #2: [20, 6, 3] from Operation: 99/33=3 Current State: 29:[20, 6, 3], Operations: ['99/33=3'] Exploring Operation: 20+6=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 20+6=26 Current State: 29:[3, 26], Operations: ['99/33=3', '20+6=26'] Exploring Operation: 3+26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached	4	Current State: 29:[99, 20, 6, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [20, 6, 3] Generated Node #0,0: 29:[20, 6, 3] Operation: 99/33=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[20, 6, 3], Operations: ['99/33=3'] Exploring Operation: 63=18, Resulting Numbers: [20, 18] Generated Node #0,0,0: 29:[20, 18] Operation: 63=18 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 29:[20, 18], Operations: ['99/33=3', '6*3=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 29, 25, 75, 61 ]	35	[ "61-29=32", "75/25=3", "32+3=35" ]	Current State: 35:[29, 25, 75, 61], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [25, 75, 32] Generated Node #2: [25, 75, 32] from Operation: 61-29=32 Current State: 35:[25, 75, 32], Operations: ['61-29=32'] Exploring Operation: 75/25=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 75/25=3 Current State: 35:[32, 3], Operations: ['61-29=32', '75/25=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[29, 25, 75, 61], Operations: [] Exploring Operation: 75-29=46, Resulting Numbers: [25, 61, 46] Generated Node #0,0: 35:[25, 61, 46] Operation: 75-29=46 Exploring Operation: 75-25=50, Resulting Numbers: [29, 61, 50] Generated Node #0,1: 35:[29, 61, 50] Operation: 75-25=50 Exploring Operation: 75-61=14, Resulting Numbers: [29, 25, 14] Generated Node #0,2: 35:[29, 25, 14] Operation: 75-61=14 Exploring Operation: 61-25=36, Resulting Numbers: [29, 75, 36] Generated Node #0,3: 35:[29, 75, 36] Operation: 61-25=36 Exploring Operation: 75/25=3, Resulting Numbers: [29, 61, 3] Generated Node #0,4: 35:[29, 61, 3] Operation: 75/25=3 Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[29, 25, 14], Operations: ['75-61=14'] Exploring Operation: 25+14=39, Resulting Numbers: [29, 39] Generated Node #0,2,0: 35:[29, 39] Operation: 25+14=39 Exploring Operation: 25-14=11, Resulting Numbers: [29, 11] Generated Node #0,2,1: 35:[29, 11] Operation: 25-14=11 Exploring Operation: 29+14=43, Resulting Numbers: [25, 43] Generated Node #0,2,2: 35:[25, 43] Operation: 29+14=43 Exploring Operation: 29-25=4, Resulting Numbers: [14, 4] Generated Node #0,2,3: 35:[14, 4] Operation: 29-25=4 Exploring Operation: 29-14=15, Resulting Numbers: [25, 15] Generated Node #0,2,4: 35:[25, 15] Operation: 29-14=15 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 35:[14, 4], Operations: ['75-61=14', '29-25=4'] Exploring Operation: 14+4=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,35 unequal: No Solution Exploring Operation: 144=56, Resulting Numbers: [56] 56,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 35:[29, 39], Operations: ['75-61=14', '25+14=39'] Exploring Operation: 2939=1131, Resulting Numbers: [1131] 1131,35 unequal: No Solution Exploring Operation: 39-29=10, Resulting Numbers: [10] 10,35 unequal: No Solution Exploring Operation: 29+39=68, Resulting Numbers: [68] 68,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 35:[29, 11], Operations: ['75-61=14', '25-14=11'] Exploring Operation: 2911=319, Resulting Numbers: [319] 319,35 unequal: No Solution Exploring Operation: 29-11=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 29+11=40, Resulting Numbers: [40] 40,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[25, 43], Operations: ['75-61=14', '29+14=43'] Exploring Operation: 43-25=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 25+43=68, Resulting Numbers: [68] 68,35 unequal: No Solution Exploring Operation: 2543=1075, Resulting Numbers: [1075] 1075,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 35:[25, 15], Operations: ['75-61=14', '29-14=15'] Exploring Operation: 2515=375, Resulting Numbers: [375] 375,35 unequal: No Solution Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,35 unequal: No Solution Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 35:[29, 61, 3], Operations: ['75/25=3'] Exploring Operation: 29-3=26, Resulting Numbers: [61, 26] Generated Node #0,4,0: 35:[61, 26] Operation: 29-3=26 Exploring Operation: 29+3=32, Resulting Numbers: [61, 32] Generated Node #0,4,1: 35:[61, 32] Operation: 29+3=32 Exploring Operation: 61-3=58, Resulting Numbers: [29, 58] Generated Node #0,4,2: 35:[29, 58] Operation: 61-3=58 Exploring Operation: 61-29=32, Resulting Numbers: [3, 32] Generated Node #0,4,3: 35:[3, 32] Operation: 61-29=32 Exploring Operation: 61+3=64, Resulting Numbers: [29, 64] Generated Node #0,4,4: 35:[29, 64] Operation: 61+3=64 Moving to Node #0,4,3 Current State: 35:[3, 32], Operations: ['75/25=3', '61-29=32'] Exploring Operation: 332=96, Resulting Numbers: [96] 96,35 unequal: No Solution Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[29, 25, 75, 61], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [29, 61, 3] Generated Node #0,4: 35:[29, 61, 3] Operation: 75/25=3 Moving to Node #0,4 Current State: 35:[29, 61, 3], Operations: ['75/25=3'] Exploring Operation: 61-29=32, Resulting Numbers: [3, 32] Generated Node #0,4,3: 35:[3, 32] Operation: 61-29=32 Moving to Node #0,4,3 Current State: 35:[3, 32], Operations: ['75/25=3', '61-29=32'] Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Exit Sub Search at level 1	0.967882	hs_5	mult_heuristic
[ 29, 29, 31, 39 ]	50	[ "29+29=58", "39-31=8", "58-8=50" ]	Current State: 50:[29, 29, 31, 39], Operations: [] Exploring Operation: 29+29=58, Resulting Numbers: [31, 39, 58] Generated Node #2: [31, 39, 58] from Operation: 29+29=58 Current State: 50:[31, 39, 58], Operations: ['29+29=58'] Exploring Operation: 39-31=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 39-31=8 Current State: 50:[58, 8], Operations: ['29+29=58', '39-31=8'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	4	Current State: 50:[29, 29, 31, 39], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [29, 31, 10] Generated Node #0,0: 50:[29, 31, 10] Operation: 39-29=10 Exploring Operation: 39-29=10, Resulting Numbers: [29, 31, 10] Generated Node #0,1: 50:[29, 31, 10] Operation: 39-29=10 Exploring Operation: 39-31=8, Resulting Numbers: [29, 29, 8] Generated Node #0,2: 50:[29, 29, 8] Operation: 39-31=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[29, 31, 10], Operations: ['39-29=10'] Exploring Operation: 29+31=60, Resulting Numbers: [10, 60] Generated Node #0,0,0: 50:[10, 60] Operation: 29+31=60 Exploring Operation: 31-10=21, Resulting Numbers: [29, 21] Generated Node #0,0,1: 50:[29, 21] Operation: 31-10=21 Exploring Operation: 31-29=2, Resulting Numbers: [10, 2] Generated Node #0,0,2: 50:[10, 2] Operation: 31-29=2 Moving to Node #0,0,2 Current State: 50:[10, 2], Operations: ['39-29=10', '31-29=2'] Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,50 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,50 unequal: No Solution Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,50 unequal: No Solution Moving to Node #0,0,1 Current State: 50:[29, 21], Operations: ['39-29=10', '31-10=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[29, 29, 31, 39], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [29, 31, 10] Generated Node #0,0: 50:[29, 31, 10] Operation: 39-29=10 Moving to Node #0,0 Current State: 50:[29, 31, 10], Operations: ['39-29=10'] Exploring Operation: 31-10=21, Resulting Numbers: [29, 21] Generated Node #0,0,1: 50:[29, 21] Operation: 31-10=21 Moving to Node #0,0,1 Current State: 50:[29, 21], Operations: ['39-29=10', '31-10=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 1	0.987847	hs_3	sum_heuristic
[ 63, 79, 14, 35 ]	33	[ "79-63=16", "14+35=49", "49-16=33" ]	Current State: 33:[63, 79, 14, 35], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [14, 35, 16] Generated Node #2: [14, 35, 16] from Operation: 79-63=16 Current State: 33:[14, 35, 16], Operations: ['79-63=16'] Exploring Operation: 14+35=49, Resulting Numbers: [16, 49] Generated Node #3: [16, 49] from Operation: 14+35=49 Current State: 33:[16, 49], Operations: ['79-63=16', '14+35=49'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached	4	Current State: 33:[63, 79, 14, 35], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [14, 35, 16] Generated Node #0,0: 33:[14, 35, 16] Operation: 79-63=16 Moving to Node #0,0 Current State: 33:[14, 35, 16], Operations: ['79-63=16'] Exploring Operation: 16-14=2, Resulting Numbers: [35, 2] Generated Node #0,0,0: 33:[35, 2] Operation: 16-14=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 33:[35, 2], Operations: ['79-63=16', '16-14=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[63, 79, 14, 35], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [14, 35, 16] Generated Node #0,0: 33:[14, 35, 16] Operation: 79-63=16 Moving to Node #0,0 Current State: 33:[14, 35, 16], Operations: ['79-63=16'] Exploring Operation: 16-14=2, Resulting Numbers: [35, 2] Generated Node #0,0,0: 33:[35, 2] Operation: 16-14=2 Moving to Node #0,0,0 Current State: 33:[35, 2], Operations: ['79-63=16', '16-14=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	sum_heuristic
[ 6, 59, 81, 65 ]	82	[ "6+59=65", "65/65=1", "81+1=82" ]	Current State: 82:[6, 59, 81, 65], Operations: [] Exploring Operation: 6+59=65, Resulting Numbers: [81, 65, 65] Generated Node #2: [81, 65, 65] from Operation: 6+59=65 Current State: 82:[81, 65, 65], Operations: ['6+59=65'] Exploring Operation: 65/65=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 65/65=1 Current State: 82:[81, 1], Operations: ['6+59=65', '65/65=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[6, 59, 81, 65], Operations: [] Exploring Operation: 6+59=65, Resulting Numbers: [81, 65, 65] Generated Node #0,0: 82:[81, 65, 65] Operation: 6+59=65 Exploring Operation: 81-65=16, Resulting Numbers: [6, 59, 16] Generated Node #0,1: 82:[6, 59, 16] Operation: 81-65=16 Exploring Operation: 59-6=53, Resulting Numbers: [81, 65, 53] Generated Node #0,2: 82:[81, 65, 53] Operation: 59-6=53 Exploring Operation: 6+65=71, Resulting Numbers: [59, 81, 71] Generated Node #0,3: 82:[59, 81, 71] Operation: 6+65=71 Exploring Operation: 65-59=6, Resulting Numbers: [6, 81, 6] Generated Node #0,4: 82:[6, 81, 6] Operation: 65-59=6 Moving to Node #0,4 Current State: 82:[6, 81, 6], Operations: ['65-59=6'] Exploring Operation: 6-6=0, Resulting Numbers: [81, 0] Generated Node #0,4,0: 82:[81, 0] Operation: 6-6=0 Exploring Operation: 6/6=1, Resulting Numbers: [81, 1] Generated Node #0,4,1: 82:[81, 1] Operation: 6/6=1 Exploring Operation: 81+6=87, Resulting Numbers: [6, 87] Generated Node #0,4,2: 82:[6, 87] Operation: 81+6=87 Exploring Operation: 66=36, Resulting Numbers: [81, 36] Generated Node #0,4,3: 82:[81, 36] Operation: 66=36 Exploring Operation: 6+81=87, Resulting Numbers: [6, 87] Generated Node #0,4,4: 82:[6, 87] Operation: 6+81=87 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 82:[81, 1], Operations: ['65-59=6', '6/6=1'] Exploring Operation: 81/1=81, Resulting Numbers: [81] 81,82 unequal: No Solution Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[6, 59, 81, 65], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [6, 81, 6] Generated Node #0,4: 82:[6, 81, 6] Operation: 65-59=6 Moving to Node #0,4 Current State: 82:[6, 81, 6], Operations: ['65-59=6'] Exploring Operation: 6/6=1, Resulting Numbers: [81, 1] Generated Node #0,4,1: 82:[81, 1] Operation: 6/6=1 Moving to Node #0,4,1 Current State: 82:[81, 1], Operations: ['65-59=6', '6/6=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_5	sum_heuristic
[ 4, 29, 29, 80 ]	85	[ "4+80=84", "29/29=1", "84+1=85" ]	Current State: 85:[4, 29, 29, 80], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [29, 29, 84] Generated Node #2: [29, 29, 84] from Operation: 4+80=84 Current State: 85:[29, 29, 84], Operations: ['4+80=84'] Exploring Operation: 29/29=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 29/29=1 Current State: 85:[84, 1], Operations: ['4+80=84', '29/29=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	4	Current State: 85:[4, 29, 29, 80], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [29, 80, 25] Generated Node #0,0: 85:[29, 80, 25] Operation: 29-4=25 Exploring Operation: 29-4=25, Resulting Numbers: [29, 80, 25] Generated Node #0,1: 85:[29, 80, 25] Operation: 29-4=25 Exploring Operation: 4+80=84, Resulting Numbers: [29, 29, 84] Generated Node #0,2: 85:[29, 29, 84] Operation: 4+80=84 Exploring Operation: 29/29=1, Resulting Numbers: [4, 80, 1] Generated Node #0,3: 85:[4, 80, 1] Operation: 29/29=1 Exploring Operation: 29-29=0, Resulting Numbers: [4, 80, 0] Generated Node #0,4: 85:[4, 80, 0] Operation: 29-29=0 Start Sub Search at level 1: Moving to Node #0,3 Current State: 85:[4, 80, 1], Operations: ['29/29=1'] Exploring Operation: 80+1=81, Resulting Numbers: [4, 81] Generated Node #0,3,0: 85:[4, 81] Operation: 80+1=81 Exploring Operation: 41=4, Resulting Numbers: [80, 4] Generated Node #0,3,1: 85:[80, 4] Operation: 41=4 Exploring Operation: 4+80=84, Resulting Numbers: [1, 84] Generated Node #0,3,2: 85:[1, 84] Operation: 4+80=84 Exploring Operation: 4+1=5, Resulting Numbers: [80, 5] Generated Node #0,3,3: 85:[80, 5] Operation: 4+1=5 Exploring Operation: 4/1=4, Resulting Numbers: [80, 4] Generated Node #0,3,4: 85:[80, 4] Operation: 4/1=4 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 85:[4, 81], Operations: ['29/29=1', '80+1=81'] Exploring Operation: 4+81=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[4, 29, 29, 80], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [4, 80, 1] Generated Node #0,3: 85:[4, 80, 1] Operation: 29/29=1 Moving to Node #0,3 Current State: 85:[4, 80, 1], Operations: ['29/29=1'] Exploring Operation: 80+1=81, Resulting Numbers: [4, 81] Generated Node #0,3,0: 85:[4, 81] Operation: 80+1=81 Moving to Node #0,3,0 Current State: 85:[4, 81], Operations: ['29/29=1', '80+1=81'] Exploring Operation: 4+81=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986979	hs_5	mult_heuristic
[ 8, 78, 38, 34 ]	74	[ "78-8=70", "38-34=4", "70+4=74" ]	Current State: 74:[8, 78, 38, 34], Operations: [] Exploring Operation: 78-8=70, Resulting Numbers: [38, 34, 70] Generated Node #2: [38, 34, 70] from Operation: 78-8=70 Current State: 74:[38, 34, 70], Operations: ['78-8=70'] Exploring Operation: 38-34=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 38-34=4 Current State: 74:[70, 4], Operations: ['78-8=70', '38-34=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached	4	Current State: 74:[8, 78, 38, 34], Operations: [] Exploring Operation: 8+34=42, Resulting Numbers: [78, 38, 42] Generated Node #0,0: 74:[78, 38, 42] Operation: 8+34=42 Exploring Operation: 78-8=70, Resulting Numbers: [38, 34, 70] Generated Node #0,1: 74:[38, 34, 70] Operation: 78-8=70 Moving to Node #0,1 Current State: 74:[38, 34, 70], Operations: ['78-8=70'] Exploring Operation: 38+34=72, Resulting Numbers: [70, 72] Generated Node #0,1,0: 74:[70, 72] Operation: 38+34=72 Exploring Operation: 70-34=36, Resulting Numbers: [38, 36] Generated Node #0,1,1: 74:[38, 36] Operation: 70-34=36 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 74:[38, 36], Operations: ['78-8=70', '70-34=36'] Exploring Operation: 38+36=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[8, 78, 38, 34], Operations: [] Exploring Operation: 78-8=70, Resulting Numbers: [38, 34, 70] Generated Node #0,1: 74:[38, 34, 70] Operation: 78-8=70 Moving to Node #0,1 Current State: 74:[38, 34, 70], Operations: ['78-8=70'] Exploring Operation: 70-34=36, Resulting Numbers: [38, 36] Generated Node #0,1,1: 74:[38, 36] Operation: 70-34=36 Moving to Node #0,1,1 Current State: 74:[38, 36], Operations: ['78-8=70', '70-34=36'] Exploring Operation: 38+36=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 1	0.992188	hs_2	mult_heuristic
[ 11, 2, 61, 75 ]	57	[ "61+75=136", "136/2=68", "68-11=57" ]	Current State: 57:[11, 2, 61, 75], Operations: [] Exploring Operation: 61+75=136, Resulting Numbers: [11, 2, 136] Generated Node #2: [11, 2, 136] from Operation: 61+75=136 Current State: 57:[11, 2, 136], Operations: ['61+75=136'] Exploring Operation: 136/2=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 136/2=68 Current State: 57:[11, 68], Operations: ['61+75=136', '136/2=68'] Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached	4	Current State: 57:[11, 2, 61, 75], Operations: [] Exploring Operation: 61-11=50, Resulting Numbers: [2, 75, 50] Generated Node #0,0: 57:[2, 75, 50] Operation: 61-11=50 Exploring Operation: 75-11=64, Resulting Numbers: [2, 61, 64] Generated Node #0,1: 57:[2, 61, 64] Operation: 75-11=64 Exploring Operation: 75-61=14, Resulting Numbers: [11, 2, 14] Generated Node #0,2: 57:[11, 2, 14] Operation: 75-61=14 Exploring Operation: 112=22, Resulting Numbers: [61, 75, 22] Generated Node #0,3: 57:[61, 75, 22] Operation: 112=22 Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[2, 61, 64], Operations: ['75-11=64'] Exploring Operation: 2+61=63, Resulting Numbers: [64, 63] Generated Node #0,1,0: 57:[64, 63] Operation: 2+61=63 Exploring Operation: 64-2=62, Resulting Numbers: [61, 62] Generated Node #0,1,1: 57:[61, 62] Operation: 64-2=62 Exploring Operation: 61-2=59, Resulting Numbers: [64, 59] Generated Node #0,1,2: 57:[64, 59] Operation: 61-2=59 Exploring Operation: 64-61=3, Resulting Numbers: [2, 3] Generated Node #0,1,3: 57:[2, 3] Operation: 64-61=3 Moving to Node #0,1,3 Current State: 57:[2, 3], Operations: ['75-11=64', '64-61=3'] Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,57 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,57 unequal: No Solution Exploring Operation: 23=6, Resulting Numbers: [6] 6,57 unequal: No Solution Moving to Node #0,1,2 Current State: 57:[64, 59], Operations: ['75-11=64', '61-2=59'] Exploring Operation: 64-59=5, Resulting Numbers: [5] 5,57 unequal: No Solution Exploring Operation: 64+59=123, Resulting Numbers: [123] 123,57 unequal: No Solution Exploring Operation: 6459=3776, Resulting Numbers: [3776] 3776,57 unequal: No Solution Moving to Node #0,1,1 Current State: 57:[61, 62], Operations: ['75-11=64', '64-2=62'] Exploring Operation: 62-61=1, Resulting Numbers: [1] 1,57 unequal: No Solution Exploring Operation: 6162=3782, Resulting Numbers: [3782] 3782,57 unequal: No Solution Exploring Operation: 61+62=123, Resulting Numbers: [123] 123,57 unequal: No Solution Moving to Node #0,1,0 Current State: 57:[64, 63], Operations: ['75-11=64', '2+61=63'] Exploring Operation: 64+63=127, Resulting Numbers: [127] 127,57 unequal: No Solution Exploring Operation: 64-63=1, Resulting Numbers: [1] 1,57 unequal: No Solution Exploring Operation: 6463=4032, Resulting Numbers: [4032] 4032,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 57:[11, 2, 14], Operations: ['75-61=14'] Exploring Operation: 11+14=25, Resulting Numbers: [2, 25] Generated Node #0,2,0: 57:[2, 25] Operation: 11+14=25 Exploring Operation: 112=22, Resulting Numbers: [14, 22] Generated Node #0,2,1: 57:[14, 22] Operation: 112=22 Exploring Operation: 11+2=13, Resulting Numbers: [14, 13] Generated Node #0,2,2: 57:[14, 13] Operation: 11+2=13 Exploring Operation: 14-11=3, Resulting Numbers: [2, 3] Generated Node #0,2,3: 57:[2, 3] Operation: 14-11=3 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 57:[2, 3], Operations: ['75-61=14', '14-11=3'] Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,57 unequal: No Solution Exploring Operation: 23=6, Resulting Numbers: [6] 6,57 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 57:[2, 25], Operations: ['75-61=14', '11+14=25'] Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,57 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 225=50, Resulting Numbers: [50] 50,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 57:[14, 22], Operations: ['75-61=14', '112=22'] Exploring Operation: 1422=308, Resulting Numbers: [308] 308,57 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,57 unequal: No Solution Exploring Operation: 14+22=36, Resulting Numbers: [36] 36,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 57:[14, 13], Operations: ['75-61=14', '11+2=13'] Exploring Operation: 14+13=27, Resulting Numbers: [27] 27,57 unequal: No Solution Exploring Operation: 1413=182, Resulting Numbers: [182] 182,57 unequal: No Solution Exploring Operation: 14-13=1, Resulting Numbers: [1] 1,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 57:[61, 75, 22], Operations: ['112=22'] Exploring Operation: 75-22=53, Resulting Numbers: [61, 53] Generated Node #0,3,0: 57:[61, 53] Operation: 75-22=53 Exploring Operation: 61-22=39, Resulting Numbers: [75, 39] Generated Node #0,3,1: 57:[75, 39] Operation: 61-22=39 Exploring Operation: 61+22=83, Resulting Numbers: [75, 83] Generated Node #0,3,2: 57:[75, 83] Operation: 61+22=83 Exploring Operation: 75-61=14, Resulting Numbers: [22, 14] Generated Node #0,3,3: 57:[22, 14] Operation: 75-61=14 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 57:[61, 53], Operations: ['112=22', '75-22=53'] Exploring Operation: 6153=3233, Resulting Numbers: [3233] 3233,57 unequal: No Solution Exploring Operation: 61-53=8, Resulting Numbers: [8] 8,57 unequal: No Solution Exploring Operation: 61+53=114, Resulting Numbers: [114] 114,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 57:[22, 14], Operations: ['112=22', '75-61=14'] Exploring Operation: 2214=308, Resulting Numbers: [308] 308,57 unequal: No Solution Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,57 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 57:[75, 39], Operations: ['112=22', '61-22=39'] Exploring Operation: 75+39=114, Resulting Numbers: [114] 114,57 unequal: No Solution Exploring Operation: 7539=2925, Resulting Numbers: [2925] 2925,57 unequal: No Solution Exploring Operation: 75-39=36, Resulting Numbers: [36] 36,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 57:[75, 83], Operations: ['112=22', '61+22=83'] Exploring Operation: 7583=6225, Resulting Numbers: [6225] 6225,57 unequal: No Solution Exploring Operation: 83-75=8, Resulting Numbers: [8] 8,57 unequal: No Solution Exploring Operation: 75+83=158, Resulting Numbers: [158] 158,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[2, 75, 50], Operations: ['61-11=50'] Exploring Operation: 75-50=25, Resulting Numbers: [2, 25] Generated Node #0,0,0: 57:[2, 25] Operation: 75-50=25 Exploring Operation: 75-2=73, Resulting Numbers: [50, 73] Generated Node #0,0,1: 57:[50, 73] Operation: 75-2=73 Exploring Operation: 50/2=25, Resulting Numbers: [75, 25] Generated Node #0,0,2: 57:[75, 25] Operation: 50/2=25 Exploring Operation: 2+50=52, Resulting Numbers: [75, 52] Generated Node #0,0,3: 57:[75, 52] Operation: 2+50=52 Moving to Node #0,0,0 Current State: 57:[2, 25], Operations: ['61-11=50', '75-50=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,57 unequal: No Solution Exploring Operation: 225=50, Resulting Numbers: [50] 50,57 unequal: No Solution Moving to Node #0,0,3 Current State: 57:[75, 52], Operations: ['61-11=50', '2+50=52'] Exploring Operation: 75+52=127, Resulting Numbers: [127] 127,57 unequal: No Solution Exploring Operation: 7552=3900, Resulting Numbers: [3900] 3900,57 unequal: No Solution Exploring Operation: 75-52=23, Resulting Numbers: [23] 23,57 unequal: No Solution Moving to Node #0,0,1 Current State: 57:[50, 73], Operations: ['61-11=50', '75-2=73'] Exploring Operation: 50+73=123, Resulting Numbers: [123] 123,57 unequal: No Solution Exploring Operation: 73-50=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 5073=3650, Resulting Numbers: [3650] 3650,57 unequal: No Solution Moving to Node #0,0,2 Current State: 57:[75, 25], Operations: ['61-11=50', '50/2=25'] Exploring Operation: 7525=1875, Resulting Numbers: [1875] 1875,57 unequal: No Solution Exploring Operation: 75/25=3, Resulting Numbers: [3] 3,57 unequal: No Solution Exploring Operation: 75+25=100, Resulting Numbers: [100] 100,57 unequal: No Solution Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 6, 90, 13, 22 ]	50	[ "90/6=15", "13+22=35", "15+35=50" ]	Current State: 50:[6, 90, 13, 22], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [13, 22, 15] Generated Node #2: [13, 22, 15] from Operation: 90/6=15 Current State: 50:[13, 22, 15], Operations: ['90/6=15'] Exploring Operation: 13+22=35, Resulting Numbers: [15, 35] Generated Node #3: [15, 35] from Operation: 13+22=35 Current State: 50:[15, 35], Operations: ['90/6=15', '13+22=35'] Exploring Operation: 15+35=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	4	Current State: 50:[6, 90, 13, 22], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [6, 13, 68] Generated Node #0,0: 50:[6, 13, 68] Operation: 90-22=68 Exploring Operation: 90-6=84, Resulting Numbers: [13, 22, 84] Generated Node #0,1: 50:[13, 22, 84] Operation: 90-6=84 Exploring Operation: 90-13=77, Resulting Numbers: [6, 22, 77] Generated Node #0,2: 50:[6, 22, 77] Operation: 90-13=77 Exploring Operation: 22-13=9, Resulting Numbers: [6, 90, 9] Generated Node #0,3: 50:[6, 90, 9] Operation: 22-13=9 Exploring Operation: 90/6=15, Resulting Numbers: [13, 22, 15] Generated Node #0,4: 50:[13, 22, 15] Operation: 90/6=15 Start Sub Search at level 1: Moving to Node #0,4 Current State: 50:[13, 22, 15], Operations: ['90/6=15'] Exploring Operation: 13+15=28, Resulting Numbers: [22, 28] Generated Node #0,4,0: 50:[22, 28] Operation: 13+15=28 Exploring Operation: 15-13=2, Resulting Numbers: [22, 2] Generated Node #0,4,1: 50:[22, 2] Operation: 15-13=2 Exploring Operation: 22-13=9, Resulting Numbers: [15, 9] Generated Node #0,4,2: 50:[15, 9] Operation: 22-13=9 Exploring Operation: 13+22=35, Resulting Numbers: [15, 35] Generated Node #0,4,3: 50:[15, 35] Operation: 13+22=35 Exploring Operation: 22-15=7, Resulting Numbers: [13, 7] Generated Node #0,4,4: 50:[13, 7] Operation: 22-15=7 Moving to Node #0,4,1 Current State: 50:[22, 2], Operations: ['90/6=15', '15-13=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,50 unequal: No Solution Exploring Operation: 222=44, Resulting Numbers: [44] 44,50 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,50 unequal: No Solution Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,4,4 Current State: 50:[13, 7], Operations: ['90/6=15', '22-15=7'] Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,50 unequal: No Solution Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 137=91, Resulting Numbers: [91] 91,50 unequal: No Solution Moving to Node #0,4,0 Current State: 50:[22, 28], Operations: ['90/6=15', '13+15=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,50 unequal: No Solution Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[6, 90, 13, 22], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [13, 22, 15] Generated Node #0,4: 50:[13, 22, 15] Operation: 90/6=15 Moving to Node #0,4 Current State: 50:[13, 22, 15], Operations: ['90/6=15'] Exploring Operation: 13+15=28, Resulting Numbers: [22, 28] Generated Node #0,4,0: 50:[22, 28] Operation: 13+15=28 Moving to Node #0,4,0 Current State: 50:[22, 28], Operations: ['90/6=15', '13+15=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 1	0.980035	hs_5	mult_heuristic
[ 39, 59, 16, 32 ]	96	[ "39+59=98", "32/16=2", "98-2=96" ]	Current State: 96:[39, 59, 16, 32], Operations: [] Exploring Operation: 39+59=98, Resulting Numbers: [16, 32, 98] Generated Node #2: [16, 32, 98] from Operation: 39+59=98 Current State: 96:[16, 32, 98], Operations: ['39+59=98'] Exploring Operation: 32/16=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 32/16=2 Current State: 96:[98, 2], Operations: ['39+59=98', '32/16=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached	4	Current State: 96:[39, 59, 16, 32], Operations: [] Exploring Operation: 39+59=98, Resulting Numbers: [16, 32, 98] Generated Node #0,0: 96:[16, 32, 98] Operation: 39+59=98 Exploring Operation: 59-32=27, Resulting Numbers: [39, 16, 27] Generated Node #0,1: 96:[39, 16, 27] Operation: 59-32=27 Exploring Operation: 59-39=20, Resulting Numbers: [16, 32, 20] Generated Node #0,2: 96:[16, 32, 20] Operation: 59-39=20 Exploring Operation: 39-16=23, Resulting Numbers: [59, 32, 23] Generated Node #0,3: 96:[59, 32, 23] Operation: 39-16=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[16, 32, 98], Operations: ['39+59=98'] Exploring Operation: 98-16=82, Resulting Numbers: [32, 82] Generated Node #0,0,0: 96:[32, 82] Operation: 98-16=82 Exploring Operation: 16+32=48, Resulting Numbers: [98, 48] Generated Node #0,0,1: 96:[98, 48] Operation: 16+32=48 Exploring Operation: 32-16=16, Resulting Numbers: [98, 16] Generated Node #0,0,2: 96:[98, 16] Operation: 32-16=16 Exploring Operation: 32/16=2, Resulting Numbers: [98, 2] Generated Node #0,0,3: 96:[98, 2] Operation: 32/16=2 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 96:[98, 48], Operations: ['39+59=98', '16+32=48'] Exploring Operation: 98+48=146, Resulting Numbers: [146] 146,96 unequal: No Solution Exploring Operation: 98-48=50, Resulting Numbers: [50] 50,96 unequal: No Solution Exploring Operation: 9848=4704, Resulting Numbers: [4704] 4704,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 96:[98, 16], Operations: ['39+59=98', '32-16=16'] Exploring Operation: 98+16=114, Resulting Numbers: [114] 114,96 unequal: No Solution Exploring Operation: 9816=1568, Resulting Numbers: [1568] 1568,96 unequal: No Solution Exploring Operation: 98-16=82, Resulting Numbers: [82] 82,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 96:[98, 2], Operations: ['39+59=98', '32/16=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[39, 59, 16, 32], Operations: [] Exploring Operation: 39+59=98, Resulting Numbers: [16, 32, 98] Generated Node #0,0: 96:[16, 32, 98] Operation: 39+59=98 Moving to Node #0,0 Current State: 96:[16, 32, 98], Operations: ['39+59=98'] Exploring Operation: 32/16=2, Resulting Numbers: [98, 2] Generated Node #0,0,3: 96:[98, 2] Operation: 32/16=2 Moving to Node #0,0,3 Current State: 96:[98, 2], Operations: ['39+59=98', '32/16=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.983507	hs_4	mult_heuristic
[ 72, 39, 18, 78 ]	42	[ "78-72=6", "18/6=3", "39+3=42" ]	Current State: 42:[72, 39, 18, 78], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [39, 18, 6] Generated Node #2: [39, 18, 6] from Operation: 78-72=6 Current State: 42:[39, 18, 6], Operations: ['78-72=6'] Exploring Operation: 18/6=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 18/6=3 Current State: 42:[39, 3], Operations: ['78-72=6', '18/6=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	4	Current State: 42:[72, 39, 18, 78], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [39, 78, 4] Generated Node #0,0: 42:[39, 78, 4] Operation: 72/18=4 Exploring Operation: 78-72=6, Resulting Numbers: [39, 18, 6] Generated Node #0,1: 42:[39, 18, 6] Operation: 78-72=6 Exploring Operation: 78/39=2, Resulting Numbers: [72, 18, 2] Generated Node #0,2: 42:[72, 18, 2] Operation: 78/39=2 Exploring Operation: 78-39=39, Resulting Numbers: [72, 18, 39] Generated Node #0,3: 42:[72, 18, 39] Operation: 78-39=39 Start Sub Search at level 1: Moving to Node #0,1 Current State: 42:[39, 18, 6], Operations: ['78-72=6'] Exploring Operation: 39+6=45, Resulting Numbers: [18, 45] Generated Node #0,1,0: 42:[18, 45] Operation: 39+6=45 Exploring Operation: 39-18=21, Resulting Numbers: [6, 21] Generated Node #0,1,1: 42:[6, 21] Operation: 39-18=21 Exploring Operation: 18-6=12, Resulting Numbers: [39, 12] Generated Node #0,1,2: 42:[39, 12] Operation: 18-6=12 Exploring Operation: 18/6=3, Resulting Numbers: [39, 3] Generated Node #0,1,3: 42:[39, 3] Operation: 18/6=3 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 42:[6, 21], Operations: ['78-72=6', '39-18=21'] Exploring Operation: 21-6=15, Resulting Numbers: [15] 15,42 unequal: No Solution Exploring Operation: 6+21=27, Resulting Numbers: [27] 27,42 unequal: No Solution Exploring Operation: 621=126, Resulting Numbers: [126] 126,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 42:[39, 3], Operations: ['78-72=6', '18/6=3'] Exploring Operation: 393=117, Resulting Numbers: [117] 117,42 unequal: No Solution Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,42 unequal: No Solution Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[72, 39, 18, 78], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [39, 18, 6] Generated Node #0,1: 42:[39, 18, 6] Operation: 78-72=6 Moving to Node #0,1 Current State: 42:[39, 18, 6], Operations: ['78-72=6'] Exploring Operation: 18/6=3, Resulting Numbers: [39, 3] Generated Node #0,1,3: 42:[39, 3] Operation: 18/6=3 Moving to Node #0,1,3 Current State: 42:[39, 3], Operations: ['78-72=6', '18/6=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.984375	hs_4	mult_heuristic
[ 15, 96, 76, 75 ]	82	[ "96-15=81", "76-75=1", "81+1=82" ]	Current State: 82:[15, 96, 76, 75], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [76, 75, 81] Generated Node #2: [76, 75, 81] from Operation: 96-15=81 Current State: 82:[76, 75, 81], Operations: ['96-15=81'] Exploring Operation: 76-75=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 76-75=1 Current State: 82:[81, 1], Operations: ['96-15=81', '76-75=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[15, 96, 76, 75], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [96, 76, 5] Generated Node #0,0: 82:[96, 76, 5] Operation: 75/15=5 Exploring Operation: 76-75=1, Resulting Numbers: [15, 96, 1] Generated Node #0,1: 82:[15, 96, 1] Operation: 76-75=1 Exploring Operation: 15+76=91, Resulting Numbers: [96, 75, 91] Generated Node #0,2: 82:[96, 75, 91] Operation: 15+76=91 Exploring Operation: 15+75=90, Resulting Numbers: [96, 76, 90] Generated Node #0,3: 82:[96, 76, 90] Operation: 15+75=90 Exploring Operation: 96-15=81, Resulting Numbers: [76, 75, 81] Generated Node #0,4: 82:[76, 75, 81] Operation: 96-15=81 Start Sub Search at level 1: Moving to Node #0,4 Current State: 82:[76, 75, 81], Operations: ['96-15=81'] Exploring Operation: 81-75=6, Resulting Numbers: [76, 6] Generated Node #0,4,0: 82:[76, 6] Operation: 81-75=6 Exploring Operation: 81-76=5, Resulting Numbers: [75, 5] Generated Node #0,4,1: 82:[75, 5] Operation: 81-76=5 Exploring Operation: 76+75=151, Resulting Numbers: [81, 151] Generated Node #0,4,2: 82:[81, 151] Operation: 76+75=151 Exploring Operation: 75+81=156, Resulting Numbers: [76, 156] Generated Node #0,4,3: 82:[76, 156] Operation: 75+81=156 Exploring Operation: 76-75=1, Resulting Numbers: [81, 1] Generated Node #0,4,4: 82:[81, 1] Operation: 76-75=1 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 82:[81, 1], Operations: ['96-15=81', '76-75=1'] Exploring Operation: 81/1=81, Resulting Numbers: [81] 81,82 unequal: No Solution Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[15, 96, 76, 75], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [76, 75, 81] Generated Node #0,4: 82:[76, 75, 81] Operation: 96-15=81 Moving to Node #0,4 Current State: 82:[76, 75, 81], Operations: ['96-15=81'] Exploring Operation: 76-75=1, Resulting Numbers: [81, 1] Generated Node #0,4,4: 82:[81, 1] Operation: 76-75=1 Moving to Node #0,4,4 Current State: 82:[81, 1], Operations: ['96-15=81', '76-75=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986111	hs_5	sum_heuristic
[ 80, 88, 20, 73 ]	61	[ "88-80=8", "73-20=53", "8+53=61" ]	Current State: 61:[80, 88, 20, 73], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [20, 73, 8] Generated Node #2: [20, 73, 8] from Operation: 88-80=8 Current State: 61:[20, 73, 8], Operations: ['88-80=8'] Exploring Operation: 73-20=53, Resulting Numbers: [8, 53] Generated Node #3: [8, 53] from Operation: 73-20=53 Current State: 61:[8, 53], Operations: ['88-80=8', '73-20=53'] Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,61 equal: Goal Reached	4	Current State: 61:[80, 88, 20, 73], Operations: [] Exploring Operation: 80+20=100, Resulting Numbers: [88, 73, 100] Generated Node #0,0: 61:[88, 73, 100] Operation: 80+20=100 Exploring Operation: 80-20=60, Resulting Numbers: [88, 73, 60] Generated Node #0,1: 61:[88, 73, 60] Operation: 80-20=60 Exploring Operation: 88-20=68, Resulting Numbers: [80, 73, 68] Generated Node #0,2: 61:[80, 73, 68] Operation: 88-20=68 Exploring Operation: 73-20=53, Resulting Numbers: [80, 88, 53] Generated Node #0,3: 61:[80, 88, 53] Operation: 73-20=53 Exploring Operation: 88+20=108, Resulting Numbers: [80, 73, 108] Generated Node #0,4: 61:[80, 73, 108] Operation: 88+20=108 Moving to Node #0,2 Current State: 61:[80, 73, 68], Operations: ['88-20=68'] Exploring Operation: 80-73=7, Resulting Numbers: [68, 7] Generated Node #0,2,0: 61:[68, 7] Operation: 80-73=7 Exploring Operation: 80+68=148, Resulting Numbers: [73, 148] Generated Node #0,2,1: 61:[73, 148] Operation: 80+68=148 Exploring Operation: 80-68=12, Resulting Numbers: [73, 12] Generated Node #0,2,2: 61:[73, 12] Operation: 80-68=12 Exploring Operation: 73-68=5, Resulting Numbers: [80, 5] Generated Node #0,2,3: 61:[80, 5] Operation: 73-68=5 Exploring Operation: 80+73=153, Resulting Numbers: [68, 153] Generated Node #0,2,4: 61:[68, 153] Operation: 80+73=153 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 61:[68, 7], Operations: ['88-20=68', '80-73=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[80, 88, 20, 73], Operations: [] Exploring Operation: 88-20=68, Resulting Numbers: [80, 73, 68] Generated Node #0,2: 61:[80, 73, 68] Operation: 88-20=68 Moving to Node #0,2 Current State: 61:[80, 73, 68], Operations: ['88-20=68'] Exploring Operation: 80-73=7, Resulting Numbers: [68, 7] Generated Node #0,2,0: 61:[68, 7] Operation: 80-73=7 Moving to Node #0,2,0 Current State: 61:[68, 7], Operations: ['88-20=68', '80-73=7'] Exploring Operation: 68-7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_5	sum_heuristic
[ 32, 35, 9, 60 ]	54	[ "35-32=3", "60-9=51", "3+51=54" ]	Current State: 54:[32, 35, 9, 60], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [9, 60, 3] Generated Node #2: [9, 60, 3] from Operation: 35-32=3 Current State: 54:[9, 60, 3], Operations: ['35-32=3'] Exploring Operation: 60-9=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 60-9=51 Current State: 54:[3, 51], Operations: ['35-32=3', '60-9=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached	4	Current State: 54:[32, 35, 9, 60], Operations: [] Exploring Operation: 60-32=28, Resulting Numbers: [35, 9, 28] Generated Node #0,0: 54:[35, 9, 28] Operation: 60-32=28 Exploring Operation: 60-35=25, Resulting Numbers: [32, 9, 25] Generated Node #0,1: 54:[32, 9, 25] Operation: 60-35=25 Exploring Operation: 35-32=3, Resulting Numbers: [9, 60, 3] Generated Node #0,2: 54:[9, 60, 3] Operation: 35-32=3 Start Sub Search at level 1: Moving to Node #0,2 Current State: 54:[9, 60, 3], Operations: ['35-32=3'] Exploring Operation: 60-9=51, Resulting Numbers: [3, 51] Generated Node #0,2,0: 54:[3, 51] Operation: 60-9=51 Exploring Operation: 60-3=57, Resulting Numbers: [9, 57] Generated Node #0,2,1: 54:[9, 57] Operation: 60-3=57 Exploring Operation: 60/3=20, Resulting Numbers: [9, 20] Generated Node #0,2,2: 54:[9, 20] Operation: 60/3=20 Moving to Node #0,2,2 Current State: 54:[9, 20], Operations: ['35-32=3', '60/3=20'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,54 unequal: No Solution Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,54 unequal: No Solution Exploring Operation: 9*20=180, Resulting Numbers: [180] 180,54 unequal: No Solution Moving to Node #0,2,0 Current State: 54:[3, 51], Operations: ['35-32=3', '60-9=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,54 unequal: No Solution Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[32, 35, 9, 60], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [9, 60, 3] Generated Node #0,2: 54:[9, 60, 3] Operation: 35-32=3 Moving to Node #0,2 Current State: 54:[9, 60, 3], Operations: ['35-32=3'] Exploring Operation: 60-9=51, Resulting Numbers: [3, 51] Generated Node #0,2,0: 54:[3, 51] Operation: 60-9=51 Moving to Node #0,2,0 Current State: 54:[3, 51], Operations: ['35-32=3', '60-9=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_3	mult_heuristic
[ 38, 63, 10, 74 ]	39	[ "63-38=25", "74-10=64", "64-25=39" ]	Current State: 39:[38, 63, 10, 74], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [10, 74, 25] Generated Node #2: [10, 74, 25] from Operation: 63-38=25 Current State: 39:[10, 74, 25], Operations: ['63-38=25'] Exploring Operation: 74-10=64, Resulting Numbers: [25, 64] Generated Node #3: [25, 64] from Operation: 74-10=64 Current State: 39:[25, 64], Operations: ['63-38=25', '74-10=64'] Exploring Operation: 64-25=39, Resulting Numbers: [39] 39,39 equal: Goal Reached	4	Current State: 39:[38, 63, 10, 74], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [38, 10, 11] Generated Node #0,0: 39:[38, 10, 11] Operation: 74-63=11 Exploring Operation: 63-38=25, Resulting Numbers: [10, 74, 25] Generated Node #0,1: 39:[10, 74, 25] Operation: 63-38=25 Exploring Operation: 74-38=36, Resulting Numbers: [63, 10, 36] Generated Node #0,2: 39:[63, 10, 36] Operation: 74-38=36 Exploring Operation: 63-10=53, Resulting Numbers: [38, 74, 53] Generated Node #0,3: 39:[38, 74, 53] Operation: 63-10=53 Moving to Node #0,0 Current State: 39:[38, 10, 11], Operations: ['74-63=11'] Exploring Operation: 10+11=21, Resulting Numbers: [38, 21] Generated Node #0,0,0: 39:[38, 21] Operation: 10+11=21 Exploring Operation: 38-10=28, Resulting Numbers: [11, 28] Generated Node #0,0,1: 39:[11, 28] Operation: 38-10=28 Exploring Operation: 38+10=48, Resulting Numbers: [11, 48] Generated Node #0,0,2: 39:[11, 48] Operation: 38+10=48 Exploring Operation: 11-10=1, Resulting Numbers: [38, 1] Generated Node #0,0,3: 39:[38, 1] Operation: 11-10=1 Moving to Node #0,2 Current State: 39:[63, 10, 36], Operations: ['74-38=36'] Exploring Operation: 63+10=73, Resulting Numbers: [36, 73] Generated Node #0,2,0: 39:[36, 73] Operation: 63+10=73 Exploring Operation: 63-10=53, Resulting Numbers: [36, 53] Generated Node #0,2,1: 39:[36, 53] Operation: 63-10=53 Exploring Operation: 63-36=27, Resulting Numbers: [10, 27] Generated Node #0,2,2: 39:[10, 27] Operation: 63-36=27 Exploring Operation: 10+36=46, Resulting Numbers: [63, 46] Generated Node #0,2,3: 39:[63, 46] Operation: 10+36=46 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 39:[10, 27], Operations: ['74-38=36', '63-36=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 1027=270, Resulting Numbers: [270] 270,39 unequal: No Solution Exploring Operation: 10+27=37, Resulting Numbers: [37] 37,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 39:[36, 53], Operations: ['74-38=36', '63-10=53'] Exploring Operation: 3653=1908, Resulting Numbers: [1908] 1908,39 unequal: No Solution Exploring Operation: 53-36=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 36+53=89, Resulting Numbers: [89] 89,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 39:[63, 46], Operations: ['74-38=36', '10+36=46'] Exploring Operation: 63+46=109, Resulting Numbers: [109] 109,39 unequal: No Solution Exploring Operation: 63-46=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 6346=2898, Resulting Numbers: [2898] 2898,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 39:[36, 73], Operations: ['74-38=36', '63+10=73'] Exploring Operation: 3673=2628, Resulting Numbers: [2628] 2628,39 unequal: No Solution Exploring Operation: 36+73=109, Resulting Numbers: [109] 109,39 unequal: No Solution Exploring Operation: 73-36=37, Resulting Numbers: [37] 37,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 39:[38, 74, 53], Operations: ['63-10=53'] Exploring Operation: 38+74=112, Resulting Numbers: [53, 112] Generated Node #0,3,0: 39:[53, 112] Operation: 38+74=112 Exploring Operation: 74-53=21, Resulting Numbers: [38, 21] Generated Node #0,3,1: 39:[38, 21] Operation: 74-53=21 Exploring Operation: 53-38=15, Resulting Numbers: [74, 15] Generated Node #0,3,2: 39:[74, 15] Operation: 53-38=15 Exploring Operation: 74-38=36, Resulting Numbers: [53, 36] Generated Node #0,3,3: 39:[53, 36] Operation: 74-38=36 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 39:[38, 21], Operations: ['63-10=53', '74-53=21'] Exploring Operation: 38+21=59, Resulting Numbers: [59] 59,39 unequal: No Solution Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 3821=798, Resulting Numbers: [798] 798,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 39:[53, 36], Operations: ['63-10=53', '74-38=36'] Exploring Operation: 53+36=89, Resulting Numbers: [89] 89,39 unequal: No Solution Exploring Operation: 53-36=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 5336=1908, Resulting Numbers: [1908] 1908,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 39:[74, 15], Operations: ['63-10=53', '53-38=15'] Exploring Operation: 74-15=59, Resulting Numbers: [59] 59,39 unequal: No Solution Exploring Operation: 74+15=89, Resulting Numbers: [89] 89,39 unequal: No Solution Exploring Operation: 7415=1110, Resulting Numbers: [1110] 1110,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 39:[53, 112], Operations: ['63-10=53', '38+74=112'] Exploring Operation: 53+112=165, Resulting Numbers: [165] 165,39 unequal: No Solution Exploring Operation: 53112=5936, Resulting Numbers: [5936] 5936,39 unequal: No Solution Exploring Operation: 112-53=59, Resulting Numbers: [59] 59,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 39:[10, 74, 25], Operations: ['63-38=25'] Exploring Operation: 74-25=49, Resulting Numbers: [10, 49] Generated Node #0,1,0: 39:[10, 49] Operation: 74-25=49 Exploring Operation: 10+25=35, Resulting Numbers: [74, 35] Generated Node #0,1,1: 39:[74, 35] Operation: 10+25=35 Exploring Operation: 74-10=64, Resulting Numbers: [25, 64] Generated Node #0,1,2: 39:[25, 64] Operation: 74-10=64 Exploring Operation: 25-10=15, Resulting Numbers: [74, 15] Generated Node #0,1,3: 39:[74, 15] Operation: 25-10=15 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[10, 49], Operations: ['63-38=25', '74-25=49'] Exploring Operation: 10+49=59, Resulting Numbers: [59] 59,39 unequal: No Solution Exploring Operation: 49-10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[38, 63, 10, 74], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [10, 74, 25] Generated Node #0,1: 39:[10, 74, 25] Operation: 63-38=25 Moving to Node #0,1 Current State: 39:[10, 74, 25], Operations: ['63-38=25'] Exploring Operation: 74-25=49, Resulting Numbers: [10, 49] Generated Node #0,1,0: 39:[10, 49] Operation: 74-25=49 Moving to Node #0,1,0 Current State: 39:[10, 49], Operations: ['63-38=25', '74-25=49'] Exploring Operation: 49-10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Exit Sub Search at level 1	0.956597	hs_4	sum_heuristic
[ 99, 43, 32, 33 ]	33	[ "99/33=3", "43-32=11", "3*11=33" ]	Current State: 33:[99, 43, 32, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [43, 32, 3] Generated Node #2: [43, 32, 3] from Operation: 99/33=3 Current State: 33:[43, 32, 3], Operations: ['99/33=3'] Exploring Operation: 43-32=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 43-32=11 Current State: 33:[3, 11], Operations: ['99/33=3', '43-32=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached	4	Current State: 33:[99, 43, 32, 33], Operations: [] Exploring Operation: 99-43=56, Resulting Numbers: [32, 33, 56] Generated Node #0,0: 33:[32, 33, 56] Operation: 99-43=56 Exploring Operation: 99/33=3, Resulting Numbers: [43, 32, 3] Generated Node #0,1: 33:[43, 32, 3] Operation: 99/33=3 Start Sub Search at level 1: Moving to Node #0,1 Current State: 33:[43, 32, 3], Operations: ['99/33=3'] Exploring Operation: 43-3=40, Resulting Numbers: [32, 40] Generated Node #0,1,0: 33:[32, 40] Operation: 43-3=40 Exploring Operation: 43-32=11, Resulting Numbers: [3, 11] Generated Node #0,1,1: 33:[3, 11] Operation: 43-32=11 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 33:[3, 11], Operations: ['99/33=3', '43-32=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,33 unequal: No Solution Exploring Operation: 311=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[99, 43, 32, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [43, 32, 3] Generated Node #0,1: 33:[43, 32, 3] Operation: 99/33=3 Moving to Node #0,1 Current State: 33:[43, 32, 3], Operations: ['99/33=3'] Exploring Operation: 43-32=11, Resulting Numbers: [3, 11] Generated Node #0,1,1: 33:[3, 11] Operation: 43-32=11 Moving to Node #0,1,1 Current State: 33:[3, 11], Operations: ['99/33=3', '43-32=11'] Exploring Operation: 311=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.991319	hs_2	mult_heuristic
[ 57, 5, 85, 71 ]	31	[ "71-57=14", "85/5=17", "14+17=31" ]	Current State: 31:[57, 5, 85, 71], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [5, 85, 14] Generated Node #2: [5, 85, 14] from Operation: 71-57=14 Current State: 31:[5, 85, 14], Operations: ['71-57=14'] Exploring Operation: 85/5=17, Resulting Numbers: [14, 17] Generated Node #3: [14, 17] from Operation: 85/5=17 Current State: 31:[14, 17], Operations: ['71-57=14', '85/5=17'] Exploring Operation: 14+17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached	4	Current State: 31:[57, 5, 85, 71], Operations: [] Exploring Operation: 85-71=14, Resulting Numbers: [57, 5, 14] Generated Node #0,0: 31:[57, 5, 14] Operation: 85-71=14 Exploring Operation: 85-57=28, Resulting Numbers: [5, 71, 28] Generated Node #0,1: 31:[5, 71, 28] Operation: 85-57=28 Moving to Node #0,0 Current State: 31:[57, 5, 14], Operations: ['85-71=14'] Exploring Operation: 57-14=43, Resulting Numbers: [5, 43] Generated Node #0,0,0: 31:[5, 43] Operation: 57-14=43 Exploring Operation: 57-5=52, Resulting Numbers: [14, 52] Generated Node #0,0,1: 31:[14, 52] Operation: 57-5=52 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 31:[5, 43], Operations: ['85-71=14', '57-14=43'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,31 unequal: No Solution Exploring Operation: 5+43=48, Resulting Numbers: [48] 48,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 31:[14, 52], Operations: ['85-71=14', '57-5=52'] Exploring Operation: 14+52=66, Resulting Numbers: [66] 66,31 unequal: No Solution Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 31:[5, 71, 28], Operations: ['85-57=28'] Exploring Operation: 71-5=66, Resulting Numbers: [28, 66] Generated Node #0,1,0: 31:[28, 66] Operation: 71-5=66 Exploring Operation: 71-28=43, Resulting Numbers: [5, 43] Generated Node #0,1,1: 31:[5, 43] Operation: 71-28=43 Moving to Node #0,1,0 Current State: 31:[28, 66], Operations: ['85-57=28', '71-5=66'] Exploring Operation: 66-28=38, Resulting Numbers: [38] 38,31 unequal: No Solution Exploring Operation: 28+66=94, Resulting Numbers: [94] 94,31 unequal: No Solution Moving to Node #0,1,1 Current State: 31:[5, 43], Operations: ['85-57=28', '71-28=43'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,31 unequal: No Solution Exploring Operation: 5+43=48, Resulting Numbers: [48] 48,31 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 54, 35, 3, 13 ]	64	[ "54-13=41", "35*3=105", "105-41=64" ]	Current State: 64:[54, 35, 3, 13], Operations: [] Exploring Operation: 54-13=41, Resulting Numbers: [35, 3, 41] Generated Node #2: [35, 3, 41] from Operation: 54-13=41 Current State: 64:[35, 3, 41], Operations: ['54-13=41'] Exploring Operation: 353=105, Resulting Numbers: [41, 105] Generated Node #3: [41, 105] from Operation: 353=105 Current State: 64:[41, 105], Operations: ['54-13=41', '35*3=105'] Exploring Operation: 105-41=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[54, 35, 3, 13], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [3, 13, 19] Generated Node #0,0: 64:[3, 13, 19] Operation: 54-35=19 Exploring Operation: 54+3=57, Resulting Numbers: [35, 13, 57] Generated Node #0,1: 64:[35, 13, 57] Operation: 54+3=57 Exploring Operation: 54-13=41, Resulting Numbers: [35, 3, 41] Generated Node #0,2: 64:[35, 3, 41] Operation: 54-13=41 Exploring Operation: 54+13=67, Resulting Numbers: [35, 3, 67] Generated Node #0,3: 64:[35, 3, 67] Operation: 54+13=67 Exploring Operation: 54/3=18, Resulting Numbers: [35, 13, 18] Generated Node #0,4: 64:[35, 13, 18] Operation: 54/3=18 Moving to Node #0,0 Current State: 64:[3, 13, 19], Operations: ['54-35=19'] Exploring Operation: 19-13=6, Resulting Numbers: [3, 6] Generated Node #0,0,0: 64:[3, 6] Operation: 19-13=6 Exploring Operation: 13-3=10, Resulting Numbers: [19, 10] Generated Node #0,0,1: 64:[19, 10] Operation: 13-3=10 Exploring Operation: 3+13=16, Resulting Numbers: [19, 16] Generated Node #0,0,2: 64:[19, 16] Operation: 3+13=16 Exploring Operation: 19-3=16, Resulting Numbers: [13, 16] Generated Node #0,0,3: 64:[13, 16] Operation: 19-3=16 Exploring Operation: 13+19=32, Resulting Numbers: [3, 32] Generated Node #0,0,4: 64:[3, 32] Operation: 13+19=32 Moving to Node #0,3 Current State: 64:[35, 3, 67], Operations: ['54+13=67'] Exploring Operation: 35-3=32, Resulting Numbers: [67, 32] Generated Node #0,3,0: 64:[67, 32] Operation: 35-3=32 Exploring Operation: 3+67=70, Resulting Numbers: [35, 70] Generated Node #0,3,1: 64:[35, 70] Operation: 3+67=70 Exploring Operation: 35+3=38, Resulting Numbers: [67, 38] Generated Node #0,3,2: 64:[67, 38] Operation: 35+3=38 Exploring Operation: 67-3=64, Resulting Numbers: [35, 64] Generated Node #0,3,3: 64:[35, 64] Operation: 67-3=64 Exploring Operation: 67-35=32, Resulting Numbers: [3, 32] Generated Node #0,3,4: 64:[3, 32] Operation: 67-35=32 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 64:[3, 32], Operations: ['54+13=67', '67-35=32'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,64 unequal: No Solution Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 332=96, Resulting Numbers: [96] 96,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 64:[67, 32], Operations: ['54+13=67', '35-3=32'] Exploring Operation: 67-32=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 67+32=99, Resulting Numbers: [99] 99,64 unequal: No Solution Exploring Operation: 6732=2144, Resulting Numbers: [2144] 2144,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 64:[35, 64], Operations: ['54+13=67', '67-3=64'] Exploring Operation: 3564=2240, Resulting Numbers: [2240] 2240,64 unequal: No Solution Exploring Operation: 35+64=99, Resulting Numbers: [99] 99,64 unequal: No Solution Exploring Operation: 64-35=29, Resulting Numbers: [29] 29,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 64:[35, 70], Operations: ['54+13=67', '3+67=70'] Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 35+70=105, Resulting Numbers: [105] 105,64 unequal: No Solution Exploring Operation: 3570=2450, Resulting Numbers: [2450] 2450,64 unequal: No Solution Exploring Operation: 70/35=2, Resulting Numbers: [2] 2,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 64:[67, 38], Operations: ['54+13=67', '35+3=38'] Exploring Operation: 67-38=29, Resulting Numbers: [29] 29,64 unequal: No Solution Exploring Operation: 67+38=105, Resulting Numbers: [105] 105,64 unequal: No Solution Exploring Operation: 6738=2546, Resulting Numbers: [2546] 2546,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 64:[35, 13, 18], Operations: ['54/3=18'] Exploring Operation: 35-18=17, Resulting Numbers: [13, 17] Generated Node #0,4,0: 64:[13, 17] Operation: 35-18=17 Exploring Operation: 35-13=22, Resulting Numbers: [18, 22] Generated Node #0,4,1: 64:[18, 22] Operation: 35-13=22 Exploring Operation: 35+18=53, Resulting Numbers: [13, 53] Generated Node #0,4,2: 64:[13, 53] Operation: 35+18=53 Exploring Operation: 13+18=31, Resulting Numbers: [35, 31] Generated Node #0,4,3: 64:[35, 31] Operation: 13+18=31 Exploring Operation: 18-13=5, Resulting Numbers: [35, 5] Generated Node #0,4,4: 64:[35, 5] Operation: 18-13=5 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 64:[13, 17], Operations: ['54/3=18', '35-18=17'] Exploring Operation: 1317=221, Resulting Numbers: [221] 221,64 unequal: No Solution Exploring Operation: 17-13=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 13+17=30, Resulting Numbers: [30] 30,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 64:[35, 31], Operations: ['54/3=18', '13+18=31'] Exploring Operation: 3531=1085, Resulting Numbers: [1085] 1085,64 unequal: No Solution Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,64 unequal: No Solution Exploring Operation: 35-31=4, Resulting Numbers: [4] 4,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 64:[35, 5], Operations: ['54/3=18', '18-13=5'] Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 355=175, Resulting Numbers: [175] 175,64 unequal: No Solution Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,64 unequal: No Solution Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 64:[18, 22], Operations: ['54/3=18', '35-13=22'] Exploring Operation: 18+22=40, Resulting Numbers: [40] 40,64 unequal: No Solution Exploring Operation: 1822=396, Resulting Numbers: [396] 396,64 unequal: No Solution Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 64:[13, 53], Operations: ['54/3=18', '35+18=53'] Exploring Operation: 13+53=66, Resulting Numbers: [66] 66,64 unequal: No Solution Exploring Operation: 53-13=40, Resulting Numbers: [40] 40,64 unequal: No Solution Exploring Operation: 1353=689, Resulting Numbers: [689] 689,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 64:[35, 13, 57], Operations: ['54+3=57'] Exploring Operation: 57-35=22, Resulting Numbers: [13, 22] Generated Node #0,1,0: 64:[13, 22] Operation: 57-35=22 Exploring Operation: 57-13=44, Resulting Numbers: [35, 44] Generated Node #0,1,1: 64:[35, 44] Operation: 57-13=44 Exploring Operation: 35+13=48, Resulting Numbers: [57, 48] Generated Node #0,1,2: 64:[57, 48] Operation: 35+13=48 Exploring Operation: 13+57=70, Resulting Numbers: [35, 70] Generated Node #0,1,3: 64:[35, 70] Operation: 13+57=70 Exploring Operation: 35-13=22, Resulting Numbers: [57, 22] Generated Node #0,1,4: 64:[57, 22] Operation: 35-13=22 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[13, 22], Operations: ['54+3=57', '57-35=22'] Exploring Operation: 1322=286, Resulting Numbers: [286] 286,64 unequal: No Solution Exploring Operation: 13+22=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 22-13=9, Resulting Numbers: [9] 9,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 64:[35, 70], Operations: ['54+3=57', '13+57=70'] Exploring Operation: 35+70=105, Resulting Numbers: [105] 105,64 unequal: No Solution Exploring Operation: 3570=2450, Resulting Numbers: [2450] 2450,64 unequal: No Solution Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 70/35=2, Resulting Numbers: [2] 2,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 64:[57, 22], Operations: ['54+3=57', '35-13=22'] Exploring Operation: 5722=1254, Resulting Numbers: [1254] 1254,64 unequal: No Solution Exploring Operation: 57+22=79, Resulting Numbers: [79] 79,64 unequal: No Solution Exploring Operation: 57-22=35, Resulting Numbers: [35] 35,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 64:[35, 44], Operations: ['54+3=57', '57-13=44'] Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 3544=1540, Resulting Numbers: [1540] 1540,64 unequal: No Solution Exploring Operation: 35+44=79, Resulting Numbers: [79] 79,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 64:[57, 48], Operations: ['54+3=57', '35+13=48'] Exploring Operation: 57+48=105, Resulting Numbers: [105] 105,64 unequal: No Solution Exploring Operation: 5748=2736, Resulting Numbers: [2736] 2736,64 unequal: No Solution Exploring Operation: 57-48=9, Resulting Numbers: [9] 9,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 64:[35, 3, 41], Operations: ['54-13=41'] Exploring Operation: 35+3=38, Resulting Numbers: [41, 38] Generated Node #0,2,0: 64:[41, 38] Operation: 35+3=38 Exploring Operation: 41-35=6, Resulting Numbers: [3, 6] Generated Node #0,2,1: 64:[3, 6] Operation: 41-35=6 Exploring Operation: 35+41=76, Resulting Numbers: [3, 76] Generated Node #0,2,2: 64:[3, 76] Operation: 35+41=76 Exploring Operation: 41-3=38, Resulting Numbers: [35, 38] Generated Node #0,2,3: 64:[35, 38] Operation: 41-3=38 Exploring Operation: 35-3=32, Resulting Numbers: [41, 32] Generated Node #0,2,4: 64:[41, 32] Operation: 35-3=32 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 64:[3, 6], Operations: ['54-13=41', '41-35=6'] Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,64 unequal: No Solution Exploring Operation: 36=18, Resulting Numbers: [18] 18,64 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 64:[35, 38], Operations: ['54-13=41', '41-3=38'] Exploring Operation: 3538=1330, Resulting Numbers: [1330] 1330,64 unequal: No Solution Exploring Operation: 38-35=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 35+38=73, Resulting Numbers: [73] 73,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 64:[41, 32], Operations: ['54-13=41', '35-3=32'] Exploring Operation: 41+32=73, Resulting Numbers: [73] 73,64 unequal: No Solution Exploring Operation: 4132=1312, Resulting Numbers: [1312] 1312,64 unequal: No Solution Exploring Operation: 41-32=9, Resulting Numbers: [9] 9,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 64:[3, 76], Operations: ['54-13=41', '35+41=76'] Exploring Operation: 376=228, Resulting Numbers: [228] 228,64 unequal: No Solution Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,64 unequal: No Solution Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 64:[41, 38], Operations: ['54-13=41', '35+3=38'] Exploring Operation: 41+38=79, Resulting Numbers: [79] 79,64 unequal: No Solution Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 4138=1558, Resulting Numbers: [1558] 1558,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,4 Current State: 64:[3, 32], Operations: ['54-35=19', '13+19=32'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,64 unequal: No Solution Exploring Operation: 332=96, Resulting Numbers: [96] 96,64 unequal: No Solution Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,64 unequal: No Solution Moving to Node #0,0,2 Current State: 64:[19, 16], Operations: ['54-35=19', '3+13=16'] Exploring Operation: 19+16=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 1916=304, Resulting Numbers: [304] 304,64 unequal: No Solution Moving to Node #0,0,0 Current State: 64:[3, 6], Operations: ['54-35=19', '19-13=6'] Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 36=18, Resulting Numbers: [18] 18,64 unequal: No Solution Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,64 unequal: No Solution Moving to Node #0,0,3 Current State: 64:[13, 16], Operations: ['54-35=19', '19-3=16'] Exploring Operation: 1316=208, Resulting Numbers: [208] 208,64 unequal: No Solution Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 13+16=29, Resulting Numbers: [29] 29,64 unequal: No Solution Moving to Node #0,0,1 Current State: 64:[19, 10], Operations: ['54-35=19', '13-3=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,64 unequal: No Solution Exploring Operation: 19-10=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 19*10=190, Resulting Numbers: [190] 190,64 unequal: No Solution No solution found.	0	hs_5	sum_heuristic
[ 42, 7, 12, 80 ]	38	[ "42+80=122", "7*12=84", "122-84=38" ]	Current State: 38:[42, 7, 12, 80], Operations: [] Exploring Operation: 42+80=122, Resulting Numbers: [7, 12, 122] Generated Node #2: [7, 12, 122] from Operation: 42+80=122 Current State: 38:[7, 12, 122], Operations: ['42+80=122'] Exploring Operation: 712=84, Resulting Numbers: [122, 84] Generated Node #3: [122, 84] from Operation: 712=84 Current State: 38:[122, 84], Operations: ['42+80=122', '7*12=84'] Exploring Operation: 122-84=38, Resulting Numbers: [38] 38,38 equal: Goal Reached	4	Current State: 38:[42, 7, 12, 80], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [42, 80, 5] Generated Node #0,0: 38:[42, 80, 5] Operation: 12-7=5 Exploring Operation: 80-7=73, Resulting Numbers: [42, 12, 73] Generated Node #0,1: 38:[42, 12, 73] Operation: 80-7=73 Exploring Operation: 80-12=68, Resulting Numbers: [42, 7, 68] Generated Node #0,2: 38:[42, 7, 68] Operation: 80-12=68 Exploring Operation: 80-42=38, Resulting Numbers: [7, 12, 38] Generated Node #0,3: 38:[7, 12, 38] Operation: 80-42=38 Exploring Operation: 7+12=19, Resulting Numbers: [42, 80, 19] Generated Node #0,4: 38:[42, 80, 19] Operation: 7+12=19 Moving to Node #0,3 Current State: 38:[7, 12, 38], Operations: ['80-42=38'] Exploring Operation: 38-12=26, Resulting Numbers: [7, 26] Generated Node #0,3,0: 38:[7, 26] Operation: 38-12=26 Exploring Operation: 7+12=19, Resulting Numbers: [38, 19] Generated Node #0,3,1: 38:[38, 19] Operation: 7+12=19 Exploring Operation: 12-7=5, Resulting Numbers: [38, 5] Generated Node #0,3,2: 38:[38, 5] Operation: 12-7=5 Exploring Operation: 38-7=31, Resulting Numbers: [12, 31] Generated Node #0,3,3: 38:[12, 31] Operation: 38-7=31 Exploring Operation: 7+38=45, Resulting Numbers: [12, 45] Generated Node #0,3,4: 38:[12, 45] Operation: 7+38=45 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 38:[38, 19], Operations: ['80-42=38', '7+12=19'] Exploring Operation: 38+19=57, Resulting Numbers: [57] 57,38 unequal: No Solution Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 3819=722, Resulting Numbers: [722] 722,38 unequal: No Solution Exploring Operation: 38/19=2, Resulting Numbers: [2] 2,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 38:[38, 5], Operations: ['80-42=38', '12-7=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 385=190, Resulting Numbers: [190] 190,38 unequal: No Solution Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 38:[7, 26], Operations: ['80-42=38', '38-12=26'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 7+26=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 726=182, Resulting Numbers: [182] 182,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 38:[12, 31], Operations: ['80-42=38', '38-7=31'] Exploring Operation: 1231=372, Resulting Numbers: [372] 372,38 unequal: No Solution Exploring Operation: 12+31=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 38:[12, 45], Operations: ['80-42=38', '7+38=45'] Exploring Operation: 12+45=57, Resulting Numbers: [57] 57,38 unequal: No Solution Exploring Operation: 45-12=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 1245=540, Resulting Numbers: [540] 540,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 38:[42, 7, 68], Operations: ['80-12=68'] Exploring Operation: 68-7=61, Resulting Numbers: [42, 61] Generated Node #0,2,0: 38:[42, 61] Operation: 68-7=61 Exploring Operation: 68-42=26, Resulting Numbers: [7, 26] Generated Node #0,2,1: 38:[7, 26] Operation: 68-42=26 Exploring Operation: 42-7=35, Resulting Numbers: [68, 35] Generated Node #0,2,2: 38:[68, 35] Operation: 42-7=35 Exploring Operation: 42/7=6, Resulting Numbers: [68, 6] Generated Node #0,2,3: 38:[68, 6] Operation: 42/7=6 Exploring Operation: 42+7=49, Resulting Numbers: [68, 49] Generated Node #0,2,4: 38:[68, 49] Operation: 42+7=49 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 38:[7, 26], Operations: ['80-12=68', '68-42=26'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 7+26=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 726=182, Resulting Numbers: [182] 182,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 38:[42, 61], Operations: ['80-12=68', '68-7=61'] Exploring Operation: 4261=2562, Resulting Numbers: [2562] 2562,38 unequal: No Solution Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 42+61=103, Resulting Numbers: [103] 103,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 38:[68, 35], Operations: ['80-12=68', '42-7=35'] Exploring Operation: 6835=2380, Resulting Numbers: [2380] 2380,38 unequal: No Solution Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 68+35=103, Resulting Numbers: [103] 103,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 38:[68, 6], Operations: ['80-12=68', '42/7=6'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,38 unequal: No Solution Exploring Operation: 68+6=74, Resulting Numbers: [74] 74,38 unequal: No Solution Exploring Operation: 686=408, Resulting Numbers: [408] 408,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 38:[68, 49], Operations: ['80-12=68', '42+7=49'] Exploring Operation: 6849=3332, Resulting Numbers: [3332] 3332,38 unequal: No Solution Exploring Operation: 68+49=117, Resulting Numbers: [117] 117,38 unequal: No Solution Exploring Operation: 68-49=19, Resulting Numbers: [19] 19,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 38:[42, 12, 73], Operations: ['80-7=73'] Exploring Operation: 42+12=54, Resulting Numbers: [73, 54] Generated Node #0,1,0: 38:[73, 54] Operation: 42+12=54 Exploring Operation: 12+73=85, Resulting Numbers: [42, 85] Generated Node #0,1,1: 38:[42, 85] Operation: 12+73=85 Exploring Operation: 42-12=30, Resulting Numbers: [73, 30] Generated Node #0,1,2: 38:[73, 30] Operation: 42-12=30 Exploring Operation: 73-12=61, Resulting Numbers: [42, 61] Generated Node #0,1,3: 38:[42, 61] Operation: 73-12=61 Exploring Operation: 73-42=31, Resulting Numbers: [12, 31] Generated Node #0,1,4: 38:[12, 31] Operation: 73-42=31 Moving to Node #0,4 Current State: 38:[42, 80, 19], Operations: ['7+12=19'] Exploring Operation: 80-19=61, Resulting Numbers: [42, 61] Generated Node #0,4,0: 38:[42, 61] Operation: 80-19=61 Exploring Operation: 80+19=99, Resulting Numbers: [42, 99] Generated Node #0,4,1: 38:[42, 99] Operation: 80+19=99 Exploring Operation: 42+19=61, Resulting Numbers: [80, 61] Generated Node #0,4,2: 38:[80, 61] Operation: 42+19=61 Exploring Operation: 80-42=38, Resulting Numbers: [19, 38] Generated Node #0,4,3: 38:[19, 38] Operation: 80-42=38 Exploring Operation: 42-19=23, Resulting Numbers: [80, 23] Generated Node #0,4,4: 38:[80, 23] Operation: 42-19=23 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 38:[19, 38], Operations: ['7+12=19', '80-42=38'] Exploring Operation: 19+38=57, Resulting Numbers: [57] 57,38 unequal: No Solution Exploring Operation: 38/19=2, Resulting Numbers: [2] 2,38 unequal: No Solution Exploring Operation: 1938=722, Resulting Numbers: [722] 722,38 unequal: No Solution Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 38:[42, 61], Operations: ['7+12=19', '80-19=61'] Exploring Operation: 42+61=103, Resulting Numbers: [103] 103,38 unequal: No Solution Exploring Operation: 4261=2562, Resulting Numbers: [2562] 2562,38 unequal: No Solution Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 38:[80, 23], Operations: ['7+12=19', '42-19=23'] Exploring Operation: 80-23=57, Resulting Numbers: [57] 57,38 unequal: No Solution Exploring Operation: 80+23=103, Resulting Numbers: [103] 103,38 unequal: No Solution Exploring Operation: 8023=1840, Resulting Numbers: [1840] 1840,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 38:[42, 99], Operations: ['7+12=19', '80+19=99'] Exploring Operation: 4299=4158, Resulting Numbers: [4158] 4158,38 unequal: No Solution Exploring Operation: 42+99=141, Resulting Numbers: [141] 141,38 unequal: No Solution Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 38:[80, 61], Operations: ['7+12=19', '42+19=61'] Exploring Operation: 80-61=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 80+61=141, Resulting Numbers: [141] 141,38 unequal: No Solution Exploring Operation: 8061=4880, Resulting Numbers: [4880] 4880,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 38:[42, 80, 5], Operations: ['12-7=5'] Exploring Operation: 80-5=75, Resulting Numbers: [42, 75] Generated Node #0,0,0: 38:[42, 75] Operation: 80-5=75 Exploring Operation: 80-42=38, Resulting Numbers: [5, 38] Generated Node #0,0,1: 38:[5, 38] Operation: 80-42=38 Exploring Operation: 42+5=47, Resulting Numbers: [80, 47] Generated Node #0,0,2: 38:[80, 47] Operation: 42+5=47 Exploring Operation: 80/5=16, Resulting Numbers: [42, 16] Generated Node #0,0,3: 38:[42, 16] Operation: 80/5=16 Exploring Operation: 42-5=37, Resulting Numbers: [80, 37] Generated Node #0,0,4: 38:[80, 37] Operation: 42-5=37 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 38:[5, 38], Operations: ['12-7=5', '80-42=38'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 5+38=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 538=190, Resulting Numbers: [190] 190,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 38:[42, 16], Operations: ['12-7=5', '80/5=16'] Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,38 unequal: No Solution Exploring Operation: 4216=672, Resulting Numbers: [672] 672,38 unequal: No Solution Exploring Operation: 42-16=26, Resulting Numbers: [26] 26,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 38:[42, 75], Operations: ['12-7=5', '80-5=75'] Exploring Operation: 42+75=117, Resulting Numbers: [117] 117,38 unequal: No Solution Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 4275=3150, Resulting Numbers: [3150] 3150,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 38:[80, 37], Operations: ['12-7=5', '42-5=37'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 80+37=117, Resulting Numbers: [117] 117,38 unequal: No Solution Exploring Operation: 8037=2960, Resulting Numbers: [2960] 2960,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 38:[80, 47], Operations: ['12-7=5', '42+5=47'] Exploring Operation: 80-47=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 80+47=127, Resulting Numbers: [127] 127,38 unequal: No Solution Exploring Operation: 8047=3760, Resulting Numbers: [3760] 3760,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,4 Current State: 38:[12, 31], Operations: ['80-7=73', '73-42=31'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 1231=372, Resulting Numbers: [372] 372,38 unequal: No Solution Exploring Operation: 12+31=43, Resulting Numbers: [43] 43,38 unequal: No Solution Moving to Node #0,1,3 Current State: 38:[42, 61], Operations: ['80-7=73', '73-12=61'] Exploring Operation: 4261=2562, Resulting Numbers: [2562] 2562,38 unequal: No Solution Exploring Operation: 42+61=103, Resulting Numbers: [103] 103,38 unequal: No Solution Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,38 unequal: No Solution Moving to Node #0,1,2 Current State: 38:[73, 30], Operations: ['80-7=73', '42-12=30'] Exploring Operation: 73+30=103, Resulting Numbers: [103] 103,38 unequal: No Solution Exploring Operation: 73-30=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 7330=2190, Resulting Numbers: [2190] 2190,38 unequal: No Solution Moving to Node #0,1,0 Current State: 38:[73, 54], Operations: ['80-7=73', '42+12=54'] Exploring Operation: 73-54=19, Resulting Numbers: [19] 19,38 unequal: No Solution Exploring Operation: 73+54=127, Resulting Numbers: [127] 127,38 unequal: No Solution Exploring Operation: 7354=3942, Resulting Numbers: [3942] 3942,38 unequal: No Solution Moving to Node #0,1,1 Current State: 38:[42, 85], Operations: ['80-7=73', '12+73=85'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,38 unequal: No Solution Exploring Operation: 42+85=127, Resulting Numbers: [127] 127,38 unequal: No Solution Exploring Operation: 42*85=3570, Resulting Numbers: [3570] 3570,38 unequal: No Solution No solution found.	0	hs_5	sum_heuristic
[ 29, 20, 50, 71 ]	22	[ "29+71=100", "100/50=2", "20+2=22" ]	Current State: 22:[29, 20, 50, 71], Operations: [] Exploring Operation: 29+71=100, Resulting Numbers: [20, 50, 100] Generated Node #2: [20, 50, 100] from Operation: 29+71=100 Current State: 22:[20, 50, 100], Operations: ['29+71=100'] Exploring Operation: 100/50=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 100/50=2 Current State: 22:[20, 2], Operations: ['29+71=100', '100/50=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached	4	Current State: 22:[29, 20, 50, 71], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [20, 71, 21] Generated Node #0,0: 22:[20, 71, 21] Operation: 50-29=21 Exploring Operation: 71-50=21, Resulting Numbers: [29, 20, 21] Generated Node #0,1: 22:[29, 20, 21] Operation: 71-50=21 Exploring Operation: 71-29=42, Resulting Numbers: [20, 50, 42] Generated Node #0,2: 22:[20, 50, 42] Operation: 71-29=42 Moving to Node #0,1 Current State: 22:[29, 20, 21], Operations: ['71-50=21'] Exploring Operation: 29-21=8, Resulting Numbers: [20, 8] Generated Node #0,1,0: 22:[20, 8] Operation: 29-21=8 Exploring Operation: 29-20=9, Resulting Numbers: [21, 9] Generated Node #0,1,1: 22:[21, 9] Operation: 29-20=9 Exploring Operation: 21-20=1, Resulting Numbers: [29, 1] Generated Node #0,1,2: 22:[29, 1] Operation: 21-20=1 Moving to Node #0,2 Current State: 22:[20, 50, 42], Operations: ['71-29=42'] Exploring Operation: 50-42=8, Resulting Numbers: [20, 8] Generated Node #0,2,0: 22:[20, 8] Operation: 50-42=8 Exploring Operation: 50-20=30, Resulting Numbers: [42, 30] Generated Node #0,2,1: 22:[42, 30] Operation: 50-20=30 Exploring Operation: 42-20=22, Resulting Numbers: [50, 22] Generated Node #0,2,2: 22:[50, 22] Operation: 42-20=22 Moving to Node #0,0 Current State: 22:[20, 71, 21], Operations: ['50-29=21'] Exploring Operation: 71-20=51, Resulting Numbers: [21, 51] Generated Node #0,0,0: 22:[21, 51] Operation: 71-20=51 Exploring Operation: 71-21=50, Resulting Numbers: [20, 50] Generated Node #0,0,1: 22:[20, 50] Operation: 71-21=50 Exploring Operation: 21-20=1, Resulting Numbers: [71, 1] Generated Node #0,0,2: 22:[71, 1] Operation: 21-20=1 Moving to Node #0,1,1 Current State: 22:[21, 9], Operations: ['71-50=21', '29-20=9'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,22 unequal: No Solution Exploring Operation: 219=189, Resulting Numbers: [189] 189,22 unequal: No Solution Exploring Operation: 21+9=30, Resulting Numbers: [30] 30,22 unequal: No Solution Moving to Node #0,1,0 Current State: 22:[20, 8], Operations: ['71-50=21', '29-21=8'] Exploring Operation: 208=160, Resulting Numbers: [160] 160,22 unequal: No Solution Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,22 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,22 unequal: No Solution Moving to Node #0,2,0 Current State: 22:[20, 8], Operations: ['71-29=42', '50-42=8'] Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,22 unequal: No Solution Exploring Operation: 208=160, Resulting Numbers: [160] 160,22 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,22 unequal: No Solution Moving to Node #0,1,2 Current State: 22:[29, 1], Operations: ['71-50=21', '21-20=1'] Exploring Operation: 291=29, Resulting Numbers: [29] 29,22 unequal: No Solution Exploring Operation: 29/1=29, Resulting Numbers: [29] 29,22 unequal: No Solution Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,22 unequal: No Solution Moving to Node #0,2,2 Current State: 22:[50, 22], Operations: ['71-29=42', '42-20=22'] Exploring Operation: 5022=1100, Resulting Numbers: [1100] 1100,22 unequal: No Solution Exploring Operation: 50+22=72, Resulting Numbers: [72] 72,22 unequal: No Solution Exploring Operation: 50-22=28, Resulting Numbers: [28] 28,22 unequal: No Solution Moving to Node #0,2,1 Current State: 22:[42, 30], Operations: ['71-29=42', '50-20=30'] Exploring Operation: 4230=1260, Resulting Numbers: [1260] 1260,22 unequal: No Solution Exploring Operation: 42-30=12, Resulting Numbers: [12] 12,22 unequal: No Solution Exploring Operation: 42+30=72, Resulting Numbers: [72] 72,22 unequal: No Solution Moving to Node #0,0,0 Current State: 22:[21, 51], Operations: ['50-29=21', '71-20=51'] Exploring Operation: 2151=1071, Resulting Numbers: [1071] 1071,22 unequal: No Solution Exploring Operation: 21+51=72, Resulting Numbers: [72] 72,22 unequal: No Solution Exploring Operation: 51-21=30, Resulting Numbers: [30] 30,22 unequal: No Solution Moving to Node #0,0,1 Current State: 22:[20, 50], Operations: ['50-29=21', '71-21=50'] Exploring Operation: 20+50=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 2050=1000, Resulting Numbers: [1000] 1000,22 unequal: No Solution Exploring Operation: 50-20=30, Resulting Numbers: [30] 30,22 unequal: No Solution Moving to Node #0,0,2 Current State: 22:[71, 1], Operations: ['50-29=21', '21-20=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,22 unequal: No Solution Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,22 unequal: No Solution Exploring Operation: 71/1=71, Resulting Numbers: [71] 71,22 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 98, 28, 32, 32 ]	28	[ "32-32=0", "98*0=0", "28+0=28" ]	Current State: 28:[98, 28, 32, 32], Operations: [] Exploring Operation: 32-32=0, Resulting Numbers: [98, 28, 0] Generated Node #2: [98, 28, 0] from Operation: 32-32=0 Current State: 28:[98, 28, 0], Operations: ['32-32=0'] Exploring Operation: 980=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 980=0 Current State: 28:[28, 0], Operations: ['32-32=0', '98*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached	4	Current State: 28:[98, 28, 32, 32], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [32, 32, 70] Generated Node #0,0: 28:[32, 32, 70] Operation: 98-28=70 Exploring Operation: 98-32=66, Resulting Numbers: [28, 32, 66] Generated Node #0,1: 28:[28, 32, 66] Operation: 98-32=66 Exploring Operation: 98-32=66, Resulting Numbers: [28, 32, 66] Generated Node #0,2: 28:[28, 32, 66] Operation: 98-32=66 Exploring Operation: 32/32=1, Resulting Numbers: [98, 28, 1] Generated Node #0,3: 28:[98, 28, 1] Operation: 32/32=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[28, 32, 66], Operations: ['98-32=66'] Exploring Operation: 66-28=38, Resulting Numbers: [32, 38] Generated Node #0,1,0: 28:[32, 38] Operation: 66-28=38 Exploring Operation: 66-32=34, Resulting Numbers: [28, 34] Generated Node #0,1,1: 28:[28, 34] Operation: 66-32=34 Exploring Operation: 32-28=4, Resulting Numbers: [66, 4] Generated Node #0,1,2: 28:[66, 4] Operation: 32-28=4 Exploring Operation: 28+32=60, Resulting Numbers: [66, 60] Generated Node #0,1,3: 28:[66, 60] Operation: 28+32=60 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 28:[28, 34], Operations: ['98-32=66', '66-32=34'] Exploring Operation: 28+34=62, Resulting Numbers: [62] 62,28 unequal: No Solution Exploring Operation: 34-28=6, Resulting Numbers: [6] 6,28 unequal: No Solution Exploring Operation: 2834=952, Resulting Numbers: [952] 952,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 28:[32, 38], Operations: ['98-32=66', '66-28=38'] Exploring Operation: 3238=1216, Resulting Numbers: [1216] 1216,28 unequal: No Solution Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,28 unequal: No Solution Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 28:[66, 4], Operations: ['98-32=66', '32-28=4'] Exploring Operation: 664=264, Resulting Numbers: [264] 264,28 unequal: No Solution Exploring Operation: 66-4=62, Resulting Numbers: [62] 62,28 unequal: No Solution Exploring Operation: 66+4=70, Resulting Numbers: [70] 70,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 28:[66, 60], Operations: ['98-32=66', '28+32=60'] Exploring Operation: 6660=3960, Resulting Numbers: [3960] 3960,28 unequal: No Solution Exploring Operation: 66+60=126, Resulting Numbers: [126] 126,28 unequal: No Solution Exploring Operation: 66-60=6, Resulting Numbers: [6] 6,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[28, 32, 66], Operations: ['98-32=66'] Exploring Operation: 32-28=4, Resulting Numbers: [66, 4] Generated Node #0,2,0: 28:[66, 4] Operation: 32-28=4 Exploring Operation: 28+32=60, Resulting Numbers: [66, 60] Generated Node #0,2,1: 28:[66, 60] Operation: 28+32=60 Exploring Operation: 66-28=38, Resulting Numbers: [32, 38] Generated Node #0,2,2: 28:[32, 38] Operation: 66-28=38 Exploring Operation: 66-32=34, Resulting Numbers: [28, 34] Generated Node #0,2,3: 28:[28, 34] Operation: 66-32=34 Moving to Node #0,2,3 Current State: 28:[28, 34], Operations: ['98-32=66', '66-32=34'] Exploring Operation: 2834=952, Resulting Numbers: [952] 952,28 unequal: No Solution Exploring Operation: 34-28=6, Resulting Numbers: [6] 6,28 unequal: No Solution Exploring Operation: 28+34=62, Resulting Numbers: [62] 62,28 unequal: No Solution Moving to Node #0,2,2 Current State: 28:[32, 38], Operations: ['98-32=66', '66-28=38'] Exploring Operation: 3238=1216, Resulting Numbers: [1216] 1216,28 unequal: No Solution Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,28 unequal: No Solution Moving to Node #0,2,0 Current State: 28:[66, 4], Operations: ['98-32=66', '32-28=4'] Exploring Operation: 66-4=62, Resulting Numbers: [62] 62,28 unequal: No Solution Exploring Operation: 66+4=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 664=264, Resulting Numbers: [264] 264,28 unequal: No Solution Moving to Node #0,2,1 Current State: 28:[66, 60], Operations: ['98-32=66', '28+32=60'] Exploring Operation: 6660=3960, Resulting Numbers: [3960] 3960,28 unequal: No Solution Exploring Operation: 66+60=126, Resulting Numbers: [126] 126,28 unequal: No Solution Exploring Operation: 66-60=6, Resulting Numbers: [6] 6,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[32, 32, 70], Operations: ['98-28=70'] Exploring Operation: 70-32=38, Resulting Numbers: [32, 38] Generated Node #0,0,0: 28:[32, 38] Operation: 70-32=38 Exploring Operation: 32-32=0, Resulting Numbers: [70, 0] Generated Node #0,0,1: 28:[70, 0] Operation: 32-32=0 Exploring Operation: 70-32=38, Resulting Numbers: [32, 38] Generated Node #0,0,2: 28:[32, 38] Operation: 70-32=38 Exploring Operation: 32/32=1, Resulting Numbers: [70, 1] Generated Node #0,0,3: 28:[70, 1] Operation: 32/32=1 Moving to Node #0,0,0 Current State: 28:[32, 38], Operations: ['98-28=70', '70-32=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,28 unequal: No Solution Exploring Operation: 3238=1216, Resulting Numbers: [1216] 1216,28 unequal: No Solution Moving to Node #0,0,2 Current State: 28:[32, 38], Operations: ['98-28=70', '70-32=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,28 unequal: No Solution Exploring Operation: 3238=1216, Resulting Numbers: [1216] 1216,28 unequal: No Solution Moving to Node #0,0,3 Current State: 28:[70, 1], Operations: ['98-28=70', '32/32=1'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,28 unequal: No Solution Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,28 unequal: No Solution Exploring Operation: 70/1=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 701=70, Resulting Numbers: [70] 70,28 unequal: No Solution Moving to Node #0,0,1 Current State: 28:[70, 0], Operations: ['98-28=70', '32-32=0'] Exploring Operation: 70-0=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 700=0, Resulting Numbers: [0] 0,28 unequal: No Solution Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 28:[98, 28, 1], Operations: ['32/32=1'] Exploring Operation: 98-28=70, Resulting Numbers: [1, 70] Generated Node #0,3,0: 28:[1, 70] Operation: 98-28=70 Exploring Operation: 98-1=97, Resulting Numbers: [28, 97] Generated Node #0,3,1: 28:[28, 97] Operation: 98-1=97 Exploring Operation: 98/1=98, Resulting Numbers: [28, 98] Generated Node #0,3,2: 28:[28, 98] Operation: 98/1=98 Exploring Operation: 981=98, Resulting Numbers: [28, 98] Generated Node #0,3,3: 28:[28, 98] Operation: 981=98 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 28:[1, 70], Operations: ['32/32=1', '98-28=70'] Exploring Operation: 170=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,28 unequal: No Solution Exploring Operation: 70/1=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 28:[28, 97], Operations: ['32/32=1', '98-1=97'] Exploring Operation: 28+97=125, Resulting Numbers: [125] 125,28 unequal: No Solution Exploring Operation: 2897=2716, Resulting Numbers: [2716] 2716,28 unequal: No Solution Exploring Operation: 97-28=69, Resulting Numbers: [69] 69,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 28:[28, 98], Operations: ['32/32=1', '98/1=98'] Exploring Operation: 2898=2744, Resulting Numbers: [2744] 2744,28 unequal: No Solution Exploring Operation: 28+98=126, Resulting Numbers: [126] 126,28 unequal: No Solution Exploring Operation: 98-28=70, Resulting Numbers: [70] 70,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 28:[28, 98], Operations: ['32/32=1', '981=98'] Exploring Operation: 28*98=2744, Resulting Numbers: [2744] 2744,28 unequal: No Solution Exploring Operation: 98-28=70, Resulting Numbers: [70] 70,28 unequal: No Solution Exploring Operation: 28+98=126, Resulting Numbers: [126] 126,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 38, 24, 57, 15 ]	51	[ "24*57=1368", "1368/38=36", "15+36=51" ]	Current State: 51:[38, 24, 57, 15], Operations: [] Exploring Operation: 2457=1368, Resulting Numbers: [38, 15, 1368] Generated Node #2: [38, 15, 1368] from Operation: 2457=1368 Current State: 51:[38, 15, 1368], Operations: ['2457=1368'] Exploring Operation: 1368/38=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 1368/38=36 Current State: 51:[15, 36], Operations: ['2457=1368', '1368/38=36'] Exploring Operation: 15+36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[38, 24, 57, 15], Operations: [] Exploring Operation: 57-38=19, Resulting Numbers: [24, 15, 19] Generated Node #0,0: 51:[24, 15, 19] Operation: 57-38=19 Exploring Operation: 38+24=62, Resulting Numbers: [57, 15, 62] Generated Node #0,1: 51:[57, 15, 62] Operation: 38+24=62 Exploring Operation: 38+15=53, Resulting Numbers: [24, 57, 53] Generated Node #0,2: 51:[24, 57, 53] Operation: 38+15=53 Exploring Operation: 38-24=14, Resulting Numbers: [57, 15, 14] Generated Node #0,3: 51:[57, 15, 14] Operation: 38-24=14 Exploring Operation: 38-15=23, Resulting Numbers: [24, 57, 23] Generated Node #0,4: 51:[24, 57, 23] Operation: 38-15=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[24, 15, 19], Operations: ['57-38=19'] Exploring Operation: 24+15=39, Resulting Numbers: [19, 39] Generated Node #0,0,0: 51:[19, 39] Operation: 24+15=39 Exploring Operation: 24-19=5, Resulting Numbers: [15, 5] Generated Node #0,0,1: 51:[15, 5] Operation: 24-19=5 Exploring Operation: 19-15=4, Resulting Numbers: [24, 4] Generated Node #0,0,2: 51:[24, 4] Operation: 19-15=4 Exploring Operation: 24+19=43, Resulting Numbers: [15, 43] Generated Node #0,0,3: 51:[15, 43] Operation: 24+19=43 Exploring Operation: 24-15=9, Resulting Numbers: [19, 9] Generated Node #0,0,4: 51:[19, 9] Operation: 24-15=9 Moving to Node #0,0,1 Current State: 51:[15, 5], Operations: ['57-38=19', '24-19=5'] Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,51 unequal: No Solution Exploring Operation: 155=75, Resulting Numbers: [75] 75,51 unequal: No Solution Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,51 unequal: No Solution Moving to Node #0,0,4 Current State: 51:[19, 9], Operations: ['57-38=19', '24-15=9'] Exploring Operation: 199=171, Resulting Numbers: [171] 171,51 unequal: No Solution Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,51 unequal: No Solution Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,51 unequal: No Solution Moving to Node #0,0,2 Current State: 51:[24, 4], Operations: ['57-38=19', '19-15=4'] Exploring Operation: 244=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,51 unequal: No Solution Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,51 unequal: No Solution Moving to Node #0,0,3 Current State: 51:[15, 43], Operations: ['57-38=19', '24+19=43'] Exploring Operation: 1543=645, Resulting Numbers: [645] 645,51 unequal: No Solution Exploring Operation: 15+43=58, Resulting Numbers: [58] 58,51 unequal: No Solution Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,51 unequal: No Solution Moving to Node #0,0,0 Current State: 51:[19, 39], Operations: ['57-38=19', '24+15=39'] Exploring Operation: 19+39=58, Resulting Numbers: [58] 58,51 unequal: No Solution Exploring Operation: 1939=741, Resulting Numbers: [741] 741,51 unequal: No Solution Exploring Operation: 39-19=20, Resulting Numbers: [20] 20,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 51:[57, 15, 14], Operations: ['38-24=14'] Exploring Operation: 57-15=42, Resulting Numbers: [14, 42] Generated Node #0,3,0: 51:[14, 42] Operation: 57-15=42 Exploring Operation: 57-14=43, Resulting Numbers: [15, 43] Generated Node #0,3,1: 51:[15, 43] Operation: 57-14=43 Exploring Operation: 57+14=71, Resulting Numbers: [15, 71] Generated Node #0,3,2: 51:[15, 71] Operation: 57+14=71 Exploring Operation: 15+14=29, Resulting Numbers: [57, 29] Generated Node #0,3,3: 51:[57, 29] Operation: 15+14=29 Exploring Operation: 15-14=1, Resulting Numbers: [57, 1] Generated Node #0,3,4: 51:[57, 1] Operation: 15-14=1 Moving to Node #0,3,4 Current State: 51:[57, 1], Operations: ['38-24=14', '15-14=1'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 57/1=57, Resulting Numbers: [57] 57,51 unequal: No Solution Exploring Operation: 571=57, Resulting Numbers: [57] 57,51 unequal: No Solution Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,51 unequal: No Solution Moving to Node #0,3,1 Current State: 51:[15, 43], Operations: ['38-24=14', '57-14=43'] Exploring Operation: 15+43=58, Resulting Numbers: [58] 58,51 unequal: No Solution Exploring Operation: 1543=645, Resulting Numbers: [645] 645,51 unequal: No Solution Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,51 unequal: No Solution Moving to Node #0,3,0 Current State: 51:[14, 42], Operations: ['38-24=14', '57-15=42'] Exploring Operation: 42/14=3, Resulting Numbers: [3] 3,51 unequal: No Solution Exploring Operation: 14+42=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 1442=588, Resulting Numbers: [588] 588,51 unequal: No Solution Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,51 unequal: No Solution Moving to Node #0,3,3 Current State: 51:[57, 29], Operations: ['38-24=14', '15+14=29'] Exploring Operation: 57+29=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 57-29=28, Resulting Numbers: [28] 28,51 unequal: No Solution Exploring Operation: 5729=1653, Resulting Numbers: [1653] 1653,51 unequal: No Solution Moving to Node #0,3,2 Current State: 51:[15, 71], Operations: ['38-24=14', '57+14=71'] Exploring Operation: 71-15=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 1571=1065, Resulting Numbers: [1065] 1065,51 unequal: No Solution Exploring Operation: 15+71=86, Resulting Numbers: [86] 86,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 51:[24, 57, 53], Operations: ['38+15=53'] Exploring Operation: 24+57=81, Resulting Numbers: [53, 81] Generated Node #0,2,0: 51:[53, 81] Operation: 24+57=81 Exploring Operation: 57-53=4, Resulting Numbers: [24, 4] Generated Node #0,2,1: 51:[24, 4] Operation: 57-53=4 Exploring Operation: 24+53=77, Resulting Numbers: [57, 77] Generated Node #0,2,2: 51:[57, 77] Operation: 24+53=77 Exploring Operation: 53-24=29, Resulting Numbers: [57, 29] Generated Node #0,2,3: 51:[57, 29] Operation: 53-24=29 Exploring Operation: 57-24=33, Resulting Numbers: [53, 33] Generated Node #0,2,4: 51:[53, 33] Operation: 57-24=33 Moving to Node #0,2,1 Current State: 51:[24, 4], Operations: ['38+15=53', '57-53=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,51 unequal: No Solution Exploring Operation: 244=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,51 unequal: No Solution Moving to Node #0,2,4 Current State: 51:[53, 33], Operations: ['38+15=53', '57-24=33'] Exploring Operation: 53+33=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 5333=1749, Resulting Numbers: [1749] 1749,51 unequal: No Solution Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,51 unequal: No Solution Moving to Node #0,2,3 Current State: 51:[57, 29], Operations: ['38+15=53', '53-24=29'] Exploring Operation: 5729=1653, Resulting Numbers: [1653] 1653,51 unequal: No Solution Exploring Operation: 57+29=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 57-29=28, Resulting Numbers: [28] 28,51 unequal: No Solution Moving to Node #0,2,0 Current State: 51:[53, 81], Operations: ['38+15=53', '24+57=81'] Exploring Operation: 5381=4293, Resulting Numbers: [4293] 4293,51 unequal: No Solution Exploring Operation: 81-53=28, Resulting Numbers: [28] 28,51 unequal: No Solution Exploring Operation: 53+81=134, Resulting Numbers: [134] 134,51 unequal: No Solution Moving to Node #0,2,2 Current State: 51:[57, 77], Operations: ['38+15=53', '24+53=77'] Exploring Operation: 5777=4389, Resulting Numbers: [4389] 4389,51 unequal: No Solution Exploring Operation: 57+77=134, Resulting Numbers: [134] 134,51 unequal: No Solution Exploring Operation: 77-57=20, Resulting Numbers: [20] 20,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 51:[57, 15, 62], Operations: ['38+24=62'] Exploring Operation: 62-15=47, Resulting Numbers: [57, 47] Generated Node #0,1,0: 51:[57, 47] Operation: 62-15=47 Exploring Operation: 57+15=72, Resulting Numbers: [62, 72] Generated Node #0,1,1: 51:[62, 72] Operation: 57+15=72 Exploring Operation: 57-15=42, Resulting Numbers: [62, 42] Generated Node #0,1,2: 51:[62, 42] Operation: 57-15=42 Exploring Operation: 15+62=77, Resulting Numbers: [57, 77] Generated Node #0,1,3: 51:[57, 77] Operation: 15+62=77 Exploring Operation: 62-57=5, Resulting Numbers: [15, 5] Generated Node #0,1,4: 51:[15, 5] Operation: 62-57=5 Moving to Node #0,1,4 Current State: 51:[15, 5], Operations: ['38+24=62', '62-57=5'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,51 unequal: No Solution Exploring Operation: 155=75, Resulting Numbers: [75] 75,51 unequal: No Solution Moving to Node #0,1,0 Current State: 51:[57, 47], Operations: ['38+24=62', '62-15=47'] Exploring Operation: 57-47=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 57+47=104, Resulting Numbers: [104] 104,51 unequal: No Solution Exploring Operation: 5747=2679, Resulting Numbers: [2679] 2679,51 unequal: No Solution Moving to Node #0,1,2 Current State: 51:[62, 42], Operations: ['38+24=62', '57-15=42'] Exploring Operation: 62-42=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 62+42=104, Resulting Numbers: [104] 104,51 unequal: No Solution Exploring Operation: 6242=2604, Resulting Numbers: [2604] 2604,51 unequal: No Solution Moving to Node #0,1,1 Current State: 51:[62, 72], Operations: ['38+24=62', '57+15=72'] Exploring Operation: 72-62=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 62+72=134, Resulting Numbers: [134] 134,51 unequal: No Solution Exploring Operation: 6272=4464, Resulting Numbers: [4464] 4464,51 unequal: No Solution Moving to Node #0,1,3 Current State: 51:[57, 77], Operations: ['38+24=62', '15+62=77'] Exploring Operation: 77-57=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 5777=4389, Resulting Numbers: [4389] 4389,51 unequal: No Solution Exploring Operation: 57+77=134, Resulting Numbers: [134] 134,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 51:[24, 57, 23], Operations: ['38-15=23'] Exploring Operation: 24+23=47, Resulting Numbers: [57, 47] Generated Node #0,4,0: 51:[57, 47] Operation: 24+23=47 Exploring Operation: 57-24=33, Resulting Numbers: [23, 33] Generated Node #0,4,1: 51:[23, 33] Operation: 57-24=33 Exploring Operation: 24+57=81, Resulting Numbers: [23, 81] Generated Node #0,4,2: 51:[23, 81] Operation: 24+57=81 Exploring Operation: 57-23=34, Resulting Numbers: [24, 34] Generated Node #0,4,3: 51:[24, 34] Operation: 57-23=34 Exploring Operation: 24-23=1, Resulting Numbers: [57, 1] Generated Node #0,4,4: 51:[57, 1] Operation: 24-23=1 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 51:[57, 1], Operations: ['38-15=23', '24-23=1'] Exploring Operation: 571=57, Resulting Numbers: [57] 57,51 unequal: No Solution Exploring Operation: 57/1=57, Resulting Numbers: [57] 57,51 unequal: No Solution Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,51 unequal: No Solution Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 51:[57, 47], Operations: ['38-15=23', '24+23=47'] Exploring Operation: 57-47=10, Resulting Numbers: [10] 10,51 unequal: No Solution Exploring Operation: 5747=2679, Resulting Numbers: [2679] 2679,51 unequal: No Solution Exploring Operation: 57+47=104, Resulting Numbers: [104] 104,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 51:[23, 33], Operations: ['38-15=23', '57-24=33'] Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 2333=759, Resulting Numbers: [759] 759,51 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 51:[24, 34], Operations: ['38-15=23', '57-23=34'] Exploring Operation: 24+34=58, Resulting Numbers: [58] 58,51 unequal: No Solution Exploring Operation: 2434=816, Resulting Numbers: [816] 816,51 unequal: No Solution Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 51:[23, 81], Operations: ['38-15=23', '24+57=81'] Exploring Operation: 81-23=58, Resulting Numbers: [58] 58,51 unequal: No Solution Exploring Operation: 23+81=104, Resulting Numbers: [104] 104,51 unequal: No Solution Exploring Operation: 23*81=1863, Resulting Numbers: [1863] 1863,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	sum_heuristic
[ 65, 9, 97, 13 ]	83	[ "65/13=5", "97-9=88", "88-5=83" ]	Current State: 83:[65, 9, 97, 13], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [9, 97, 5] Generated Node #2: [9, 97, 5] from Operation: 65/13=5 Current State: 83:[9, 97, 5], Operations: ['65/13=5'] Exploring Operation: 97-9=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 97-9=88 Current State: 83:[5, 88], Operations: ['65/13=5', '97-9=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached	4	Current State: 83:[65, 9, 97, 13], Operations: [] Exploring Operation: 65+13=78, Resulting Numbers: [9, 97, 78] Generated Node #0,0: 83:[9, 97, 78] Operation: 65+13=78 Exploring Operation: 65+9=74, Resulting Numbers: [97, 13, 74] Generated Node #0,1: 83:[97, 13, 74] Operation: 65+9=74 Exploring Operation: 913=117, Resulting Numbers: [65, 97, 117] Generated Node #0,2: 83:[65, 97, 117] Operation: 913=117 Moving to Node #0,2 Current State: 83:[65, 97, 117], Operations: ['913=117'] Exploring Operation: 117-65=52, Resulting Numbers: [97, 52] Generated Node #0,2,0: 83:[97, 52] Operation: 117-65=52 Exploring Operation: 117-97=20, Resulting Numbers: [65, 20] Generated Node #0,2,1: 83:[65, 20] Operation: 117-97=20 Exploring Operation: 97-65=32, Resulting Numbers: [117, 32] Generated Node #0,2,2: 83:[117, 32] Operation: 97-65=32 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 83:[97, 52], Operations: ['913=117', '117-65=52'] Exploring Operation: 97+52=149, Resulting Numbers: [149] 149,83 unequal: No Solution Exploring Operation: 9752=5044, Resulting Numbers: [5044] 5044,83 unequal: No Solution Exploring Operation: 97-52=45, Resulting Numbers: [45] 45,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 83:[65, 20], Operations: ['913=117', '117-97=20'] Exploring Operation: 65-20=45, Resulting Numbers: [45] 45,83 unequal: No Solution Exploring Operation: 6520=1300, Resulting Numbers: [1300] 1300,83 unequal: No Solution Exploring Operation: 65+20=85, Resulting Numbers: [85] 85,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 83:[117, 32], Operations: ['913=117', '97-65=32'] Exploring Operation: 11732=3744, Resulting Numbers: [3744] 3744,83 unequal: No Solution Exploring Operation: 117+32=149, Resulting Numbers: [149] 149,83 unequal: No Solution Exploring Operation: 117-32=85, Resulting Numbers: [85] 85,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 83:[9, 97, 78], Operations: ['65+13=78'] Exploring Operation: 9+97=106, Resulting Numbers: [78, 106] Generated Node #0,0,0: 83:[78, 106] Operation: 9+97=106 Exploring Operation: 9+78=87, Resulting Numbers: [97, 87] Generated Node #0,0,1: 83:[97, 87] Operation: 9+78=87 Exploring Operation: 97-9=88, Resulting Numbers: [78, 88] Generated Node #0,0,2: 83:[78, 88] Operation: 97-9=88 Moving to Node #0,1 Current State: 83:[97, 13, 74], Operations: ['65+9=74'] Exploring Operation: 97+13=110, Resulting Numbers: [74, 110] Generated Node #0,1,0: 83:[74, 110] Operation: 97+13=110 Exploring Operation: 97-13=84, Resulting Numbers: [74, 84] Generated Node #0,1,1: 83:[74, 84] Operation: 97-13=84 Exploring Operation: 13+74=87, Resulting Numbers: [97, 87] Generated Node #0,1,2: 83:[97, 87] Operation: 13+74=87 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 83:[74, 84], Operations: ['65+9=74', '97-13=84'] Exploring Operation: 74+84=158, Resulting Numbers: [158] 158,83 unequal: No Solution Exploring Operation: 84-74=10, Resulting Numbers: [10] 10,83 unequal: No Solution Exploring Operation: 7484=6216, Resulting Numbers: [6216] 6216,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 83:[97, 87], Operations: ['65+9=74', '13+74=87'] Exploring Operation: 9787=8439, Resulting Numbers: [8439] 8439,83 unequal: No Solution Exploring Operation: 97+87=184, Resulting Numbers: [184] 184,83 unequal: No Solution Exploring Operation: 97-87=10, Resulting Numbers: [10] 10,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 83:[74, 110], Operations: ['65+9=74', '97+13=110'] Exploring Operation: 74110=8140, Resulting Numbers: [8140] 8140,83 unequal: No Solution Exploring Operation: 110-74=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 74+110=184, Resulting Numbers: [184] 184,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,2 Current State: 83:[78, 88], Operations: ['65+13=78', '97-9=88'] Exploring Operation: 78+88=166, Resulting Numbers: [166] 166,83 unequal: No Solution Exploring Operation: 88-78=10, Resulting Numbers: [10] 10,83 unequal: No Solution Exploring Operation: 7888=6864, Resulting Numbers: [6864] 6864,83 unequal: No Solution Moving to Node #0,0,1 Current State: 83:[97, 87], Operations: ['65+13=78', '9+78=87'] Exploring Operation: 9787=8439, Resulting Numbers: [8439] 8439,83 unequal: No Solution Exploring Operation: 97+87=184, Resulting Numbers: [184] 184,83 unequal: No Solution Exploring Operation: 97-87=10, Resulting Numbers: [10] 10,83 unequal: No Solution Moving to Node #0,0,0 Current State: 83:[78, 106], Operations: ['65+13=78', '9+97=106'] Exploring Operation: 78*106=8268, Resulting Numbers: [8268] 8268,83 unequal: No Solution Exploring Operation: 106-78=28, Resulting Numbers: [28] 28,83 unequal: No Solution Exploring Operation: 78+106=184, Resulting Numbers: [184] 184,83 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 7, 63, 2, 53 ]	19	[ "7+63=70", "53-2=51", "70-51=19" ]	Current State: 19:[7, 63, 2, 53], Operations: [] Exploring Operation: 7+63=70, Resulting Numbers: [2, 53, 70] Generated Node #2: [2, 53, 70] from Operation: 7+63=70 Current State: 19:[2, 53, 70], Operations: ['7+63=70'] Exploring Operation: 53-2=51, Resulting Numbers: [70, 51] Generated Node #3: [70, 51] from Operation: 53-2=51 Current State: 19:[70, 51], Operations: ['7+63=70', '53-2=51'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,19 equal: Goal Reached	4	Current State: 19:[7, 63, 2, 53], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [7, 2, 10] Generated Node #0,0: 19:[7, 2, 10] Operation: 63-53=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 19:[7, 2, 10], Operations: ['63-53=10'] Exploring Operation: 210=20, Resulting Numbers: [7, 20] Generated Node #0,0,0: 19:[7, 20] Operation: 210=20 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 19:[7, 20], Operations: ['63-53=10', '2*10=20'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 19, 83, 34, 74 ]	44	[ "83-19=64", "34+74=108", "108-64=44" ]	Current State: 44:[19, 83, 34, 74], Operations: [] Exploring Operation: 83-19=64, Resulting Numbers: [34, 74, 64] Generated Node #2: [34, 74, 64] from Operation: 83-19=64 Current State: 44:[34, 74, 64], Operations: ['83-19=64'] Exploring Operation: 34+74=108, Resulting Numbers: [64, 108] Generated Node #3: [64, 108] from Operation: 34+74=108 Current State: 44:[64, 108], Operations: ['83-19=64', '34+74=108'] Exploring Operation: 108-64=44, Resulting Numbers: [44] 44,44 equal: Goal Reached	4	Current State: 44:[19, 83, 34, 74], Operations: [] Exploring Operation: 83-34=49, Resulting Numbers: [19, 74, 49] Generated Node #0,0: 44:[19, 74, 49] Operation: 83-34=49 Exploring Operation: 74-34=40, Resulting Numbers: [19, 83, 40] Generated Node #0,1: 44:[19, 83, 40] Operation: 74-34=40 Exploring Operation: 83-74=9, Resulting Numbers: [19, 34, 9] Generated Node #0,2: 44:[19, 34, 9] Operation: 83-74=9 Moving to Node #0,2 Current State: 44:[19, 34, 9], Operations: ['83-74=9'] Exploring Operation: 34+9=43, Resulting Numbers: [19, 43] Generated Node #0,2,0: 44:[19, 43] Operation: 34+9=43 Exploring Operation: 34-9=25, Resulting Numbers: [19, 25] Generated Node #0,2,1: 44:[19, 25] Operation: 34-9=25 Exploring Operation: 34-19=15, Resulting Numbers: [9, 15] Generated Node #0,2,2: 44:[9, 15] Operation: 34-19=15 Moving to Node #0,0 Current State: 44:[19, 74, 49], Operations: ['83-34=49'] Exploring Operation: 74-49=25, Resulting Numbers: [19, 25] Generated Node #0,0,0: 44:[19, 25] Operation: 74-49=25 Exploring Operation: 49-19=30, Resulting Numbers: [74, 30] Generated Node #0,0,1: 44:[74, 30] Operation: 49-19=30 Exploring Operation: 74-19=55, Resulting Numbers: [49, 55] Generated Node #0,0,2: 44:[49, 55] Operation: 74-19=55 Moving to Node #0,1 Current State: 44:[19, 83, 40], Operations: ['74-34=40'] Exploring Operation: 83-40=43, Resulting Numbers: [19, 43] Generated Node #0,1,0: 44:[19, 43] Operation: 83-40=43 Exploring Operation: 40-19=21, Resulting Numbers: [83, 21] Generated Node #0,1,1: 44:[83, 21] Operation: 40-19=21 Exploring Operation: 83-19=64, Resulting Numbers: [40, 64] Generated Node #0,1,2: 44:[40, 64] Operation: 83-19=64 Moving to Node #0,2,0 Current State: 44:[19, 43], Operations: ['83-74=9', '34+9=43'] Exploring Operation: 19+43=62, Resulting Numbers: [62] 62,44 unequal: No Solution Exploring Operation: 1943=817, Resulting Numbers: [817] 817,44 unequal: No Solution Exploring Operation: 43-19=24, Resulting Numbers: [24] 24,44 unequal: No Solution Moving to Node #0,1,0 Current State: 44:[19, 43], Operations: ['74-34=40', '83-40=43'] Exploring Operation: 43-19=24, Resulting Numbers: [24] 24,44 unequal: No Solution Exploring Operation: 19+43=62, Resulting Numbers: [62] 62,44 unequal: No Solution Exploring Operation: 1943=817, Resulting Numbers: [817] 817,44 unequal: No Solution Moving to Node #0,2,2 Current State: 44:[9, 15], Operations: ['83-74=9', '34-19=15'] Exploring Operation: 15-9=6, Resulting Numbers: [6] 6,44 unequal: No Solution Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,44 unequal: No Solution Exploring Operation: 915=135, Resulting Numbers: [135] 135,44 unequal: No Solution Moving to Node #0,2,1 Current State: 44:[19, 25], Operations: ['83-74=9', '34-9=25'] Exploring Operation: 1925=475, Resulting Numbers: [475] 475,44 unequal: No Solution Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,44 unequal: No Solution Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[19, 83, 34, 74], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [19, 34, 9] Generated Node #0,2: 44:[19, 34, 9] Operation: 83-74=9 Moving to Node #0,2 Current State: 44:[19, 34, 9], Operations: ['83-74=9'] Exploring Operation: 34-9=25, Resulting Numbers: [19, 25] Generated Node #0,2,1: 44:[19, 25] Operation: 34-9=25 Moving to Node #0,2,1 Current State: 44:[19, 25], Operations: ['83-74=9', '34-9=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached	0.975694	hs_3	sum_heuristic
[ 77, 63, 80, 15 ]	18	[ "80-77=3", "15*3=45", "63-45=18" ]	Current State: 18:[77, 63, 80, 15], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [63, 15, 3] Generated Node #2: [63, 15, 3] from Operation: 80-77=3 Current State: 18:[63, 15, 3], Operations: ['80-77=3'] Exploring Operation: 153=45, Resulting Numbers: [63, 45] Generated Node #3: [63, 45] from Operation: 153=45 Current State: 18:[63, 45], Operations: ['80-77=3', '15*3=45'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached	4	Current State: 18:[77, 63, 80, 15], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [77, 15, 17] Generated Node #0,0: 18:[77, 15, 17] Operation: 80-63=17 Exploring Operation: 77-63=14, Resulting Numbers: [80, 15, 14] Generated Node #0,1: 18:[80, 15, 14] Operation: 77-63=14 Exploring Operation: 77-15=62, Resulting Numbers: [63, 80, 62] Generated Node #0,2: 18:[63, 80, 62] Operation: 77-15=62 Exploring Operation: 80-77=3, Resulting Numbers: [63, 15, 3] Generated Node #0,3: 18:[63, 15, 3] Operation: 80-77=3 Start Sub Search at level 1: Moving to Node #0,3 Current State: 18:[63, 15, 3], Operations: ['80-77=3'] Exploring Operation: 63/3=21, Resulting Numbers: [15, 21] Generated Node #0,3,0: 18:[15, 21] Operation: 63/3=21 Exploring Operation: 63-3=60, Resulting Numbers: [15, 60] Generated Node #0,3,1: 18:[15, 60] Operation: 63-3=60 Exploring Operation: 63-15=48, Resulting Numbers: [3, 48] Generated Node #0,3,2: 18:[3, 48] Operation: 63-15=48 Exploring Operation: 15+3=18, Resulting Numbers: [63, 18] Generated Node #0,3,3: 18:[63, 18] Operation: 15+3=18 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 18:[15, 21], Operations: ['80-77=3', '63/3=21'] Exploring Operation: 15+21=36, Resulting Numbers: [36] 36,18 unequal: No Solution Exploring Operation: 1521=315, Resulting Numbers: [315] 315,18 unequal: No Solution Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 18:[3, 48], Operations: ['80-77=3', '63-15=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,18 unequal: No Solution Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,18 unequal: No Solution Exploring Operation: 348=144, Resulting Numbers: [144] 144,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 18:[15, 60], Operations: ['80-77=3', '63-3=60'] Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 1560=900, Resulting Numbers: [900] 900,18 unequal: No Solution Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,18 unequal: No Solution Exploring Operation: 60/15=4, Resulting Numbers: [4] 4,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 18:[63, 18], Operations: ['80-77=3', '15+3=18'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 6318=1134, Resulting Numbers: [1134] 1134,18 unequal: No Solution Exploring Operation: 63+18=81, Resulting Numbers: [81] 81,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[77, 15, 17], Operations: ['80-63=17'] Exploring Operation: 77-17=60, Resulting Numbers: [15, 60] Generated Node #0,0,0: 18:[15, 60] Operation: 77-17=60 Exploring Operation: 15+17=32, Resulting Numbers: [77, 32] Generated Node #0,0,1: 18:[77, 32] Operation: 15+17=32 Exploring Operation: 77-15=62, Resulting Numbers: [17, 62] Generated Node #0,0,2: 18:[17, 62] Operation: 77-15=62 Exploring Operation: 17-15=2, Resulting Numbers: [77, 2] Generated Node #0,0,3: 18:[77, 2] Operation: 17-15=2 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 18:[15, 60], Operations: ['80-63=17', '77-17=60'] Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,18 unequal: No Solution Exploring Operation: 60/15=4, Resulting Numbers: [4] 4,18 unequal: No Solution Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 1560=900, Resulting Numbers: [900] 900,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 18:[17, 62], Operations: ['80-63=17', '77-15=62'] Exploring Operation: 17+62=79, Resulting Numbers: [79] 79,18 unequal: No Solution Exploring Operation: 1762=1054, Resulting Numbers: [1054] 1054,18 unequal: No Solution Exploring Operation: 62-17=45, Resulting Numbers: [45] 45,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 18:[77, 2], Operations: ['80-63=17', '17-15=2'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,18 unequal: No Solution Exploring Operation: 772=154, Resulting Numbers: [154] 154,18 unequal: No Solution Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 18:[77, 32], Operations: ['80-63=17', '15+17=32'] Exploring Operation: 7732=2464, Resulting Numbers: [2464] 2464,18 unequal: No Solution Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 77+32=109, Resulting Numbers: [109] 109,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 18:[80, 15, 14], Operations: ['77-63=14'] Exploring Operation: 15-14=1, Resulting Numbers: [80, 1] Generated Node #0,1,0: 18:[80, 1] Operation: 15-14=1 Exploring Operation: 80-15=65, Resulting Numbers: [14, 65] Generated Node #0,1,1: 18:[14, 65] Operation: 80-15=65 Exploring Operation: 80-14=66, Resulting Numbers: [15, 66] Generated Node #0,1,2: 18:[15, 66] Operation: 80-14=66 Exploring Operation: 15+14=29, Resulting Numbers: [80, 29] Generated Node #0,1,3: 18:[80, 29] Operation: 15+14=29 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 18:[14, 65], Operations: ['77-63=14', '80-15=65'] Exploring Operation: 65-14=51, Resulting Numbers: [51] 51,18 unequal: No Solution Exploring Operation: 1465=910, Resulting Numbers: [910] 910,18 unequal: No Solution Exploring Operation: 14+65=79, Resulting Numbers: [79] 79,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 18:[15, 66], Operations: ['77-63=14', '80-14=66'] Exploring Operation: 1566=990, Resulting Numbers: [990] 990,18 unequal: No Solution Exploring Operation: 15+66=81, Resulting Numbers: [81] 81,18 unequal: No Solution Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 18:[80, 1], Operations: ['77-63=14', '15-14=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,18 unequal: No Solution Exploring Operation: 801=80, Resulting Numbers: [80] 80,18 unequal: No Solution Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,18 unequal: No Solution Exploring Operation: 80/1=80, Resulting Numbers: [80] 80,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 18:[80, 29], Operations: ['77-63=14', '15+14=29'] Exploring Operation: 80-29=51, Resulting Numbers: [51] 51,18 unequal: No Solution Exploring Operation: 80+29=109, Resulting Numbers: [109] 109,18 unequal: No Solution Exploring Operation: 8029=2320, Resulting Numbers: [2320] 2320,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 18:[63, 80, 62], Operations: ['77-15=62'] Exploring Operation: 63-62=1, Resulting Numbers: [80, 1] Generated Node #0,2,0: 18:[80, 1] Operation: 63-62=1 Exploring Operation: 80-63=17, Resulting Numbers: [62, 17] Generated Node #0,2,1: 18:[62, 17] Operation: 80-63=17 Exploring Operation: 80-62=18, Resulting Numbers: [63, 18] Generated Node #0,2,2: 18:[63, 18] Operation: 80-62=18 Exploring Operation: 63+80=143, Resulting Numbers: [62, 143] Generated Node #0,2,3: 18:[62, 143] Operation: 63+80=143 Moving to Node #0,2,1 Current State: 18:[62, 17], Operations: ['77-15=62', '80-63=17'] Exploring Operation: 62-17=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 6217=1054, Resulting Numbers: [1054] 1054,18 unequal: No Solution Exploring Operation: 62+17=79, Resulting Numbers: [79] 79,18 unequal: No Solution Moving to Node #0,2,2 Current State: 18:[63, 18], Operations: ['77-15=62', '80-62=18'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,18 unequal: No Solution Exploring Operation: 63+18=81, Resulting Numbers: [81] 81,18 unequal: No Solution Exploring Operation: 6318=1134, Resulting Numbers: [1134] 1134,18 unequal: No Solution Moving to Node #0,2,0 Current State: 18:[80, 1], Operations: ['77-15=62', '63-62=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,18 unequal: No Solution Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,18 unequal: No Solution Exploring Operation: 80/1=80, Resulting Numbers: [80] 80,18 unequal: No Solution Exploring Operation: 801=80, Resulting Numbers: [80] 80,18 unequal: No Solution Moving to Node #0,2,3 Current State: 18:[62, 143], Operations: ['77-15=62', '63+80=143'] Exploring Operation: 62+143=205, Resulting Numbers: [205] 205,18 unequal: No Solution Exploring Operation: 143-62=81, Resulting Numbers: [81] 81,18 unequal: No Solution Exploring Operation: 62143=8866, Resulting Numbers: [8866] 8866,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 12, 73, 73, 42 ]	42	[ "73-73=0", "12*0=0", "42+0=42" ]	Current State: 42:[12, 73, 73, 42], Operations: [] Exploring Operation: 73-73=0, Resulting Numbers: [12, 42, 0] Generated Node #2: [12, 42, 0] from Operation: 73-73=0 Current State: 42:[12, 42, 0], Operations: ['73-73=0'] Exploring Operation: 120=0, Resulting Numbers: [42, 0] Generated Node #3: [42, 0] from Operation: 120=0 Current State: 42:[42, 0], Operations: ['73-73=0', '12*0=0'] Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	4	Current State: 42:[12, 73, 73, 42], Operations: [] Exploring Operation: 73-42=31, Resulting Numbers: [12, 73, 31] Generated Node #0,0: 42:[12, 73, 31] Operation: 73-42=31 Exploring Operation: 73-73=0, Resulting Numbers: [12, 42, 0] Generated Node #0,1: 42:[12, 42, 0] Operation: 73-73=0 Exploring Operation: 73/73=1, Resulting Numbers: [12, 42, 1] Generated Node #0,2: 42:[12, 42, 1] Operation: 73/73=1 Exploring Operation: 73-42=31, Resulting Numbers: [12, 73, 31] Generated Node #0,3: 42:[12, 73, 31] Operation: 73-42=31 Moving to Node #0,2 Current State: 42:[12, 42, 1], Operations: ['73/73=1'] Exploring Operation: 421=42, Resulting Numbers: [12, 42] Generated Node #0,2,0: 42:[12, 42] Operation: 421=42 Exploring Operation: 121=12, Resulting Numbers: [42, 12] Generated Node #0,2,1: 42:[42, 12] Operation: 121=12 Exploring Operation: 12/1=12, Resulting Numbers: [42, 12] Generated Node #0,2,2: 42:[42, 12] Operation: 12/1=12 Exploring Operation: 12+1=13, Resulting Numbers: [42, 13] Generated Node #0,2,3: 42:[42, 13] Operation: 12+1=13 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 42:[42, 13], Operations: ['73/73=1', '12+1=13'] Exploring Operation: 42-13=29, Resulting Numbers: [29] 29,42 unequal: No Solution Exploring Operation: 4213=546, Resulting Numbers: [546] 546,42 unequal: No Solution Exploring Operation: 42+13=55, Resulting Numbers: [55] 55,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 42:[12, 42], Operations: ['73/73=1', '421=42'] Exploring Operation: 12+42=54, Resulting Numbers: [54] 54,42 unequal: No Solution Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,42 unequal: No Solution Exploring Operation: 1242=504, Resulting Numbers: [504] 504,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 42:[42, 12], Operations: ['73/73=1', '121=12'] Exploring Operation: 4212=504, Resulting Numbers: [504] 504,42 unequal: No Solution Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,42 unequal: No Solution Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 42:[42, 12], Operations: ['73/73=1', '12/1=12'] Exploring Operation: 4212=504, Resulting Numbers: [504] 504,42 unequal: No Solution Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,42 unequal: No Solution Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 42:[12, 42, 0], Operations: ['73-73=0'] Exploring Operation: 120=0, Resulting Numbers: [42, 0] Generated Node #0,1,0: 42:[42, 0] Operation: 120=0 Exploring Operation: 12-0=12, Resulting Numbers: [42, 12] Generated Node #0,1,1: 42:[42, 12] Operation: 12-0=12 Exploring Operation: 42+0=42, Resulting Numbers: [12, 42] Generated Node #0,1,2: 42:[12, 42] Operation: 42+0=42 Exploring Operation: 12+0=12, Resulting Numbers: [42, 12] Generated Node #0,1,3: 42:[42, 12] Operation: 12+0=12 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 42:[42, 0], Operations: ['73-73=0', '120=0'] Exploring Operation: 420=0, Resulting Numbers: [0] 0,42 unequal: No Solution Exploring Operation: 42-0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[12, 73, 73, 42], Operations: [] Exploring Operation: 73-73=0, Resulting Numbers: [12, 42, 0] Generated Node #0,1: 42:[12, 42, 0] Operation: 73-73=0 Moving to Node #0,1 Current State: 42:[12, 42, 0], Operations: ['73-73=0'] Exploring Operation: 120=0, Resulting Numbers: [42, 0] Generated Node #0,1,0: 42:[42, 0] Operation: 120=0 Moving to Node #0,1,0 Current State: 42:[42, 0], Operations: ['73-73=0', '12*0=0'] Exploring Operation: 42-0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1	0.973958	hs_4	sum_heuristic
[ 71, 14, 80, 53 ]	48	[ "71+14=85", "80+53=133", "133-85=48" ]	Current State: 48:[71, 14, 80, 53], Operations: [] Exploring Operation: 71+14=85, Resulting Numbers: [80, 53, 85] Generated Node #2: [80, 53, 85] from Operation: 71+14=85 Current State: 48:[80, 53, 85], Operations: ['71+14=85'] Exploring Operation: 80+53=133, Resulting Numbers: [85, 133] Generated Node #3: [85, 133] from Operation: 80+53=133 Current State: 48:[85, 133], Operations: ['71+14=85', '80+53=133'] Exploring Operation: 133-85=48, Resulting Numbers: [48] 48,48 equal: Goal Reached	4	Current State: 48:[71, 14, 80, 53], Operations: [] Exploring Operation: 71-14=57, Resulting Numbers: [80, 53, 57] Generated Node #0,0: 48:[80, 53, 57] Operation: 71-14=57 Exploring Operation: 80-53=27, Resulting Numbers: [71, 14, 27] Generated Node #0,1: 48:[71, 14, 27] Operation: 80-53=27 Exploring Operation: 71-53=18, Resulting Numbers: [14, 80, 18] Generated Node #0,2: 48:[14, 80, 18] Operation: 71-53=18 Exploring Operation: 80-71=9, Resulting Numbers: [14, 53, 9] Generated Node #0,3: 48:[14, 53, 9] Operation: 80-71=9 Exploring Operation: 80-14=66, Resulting Numbers: [71, 53, 66] Generated Node #0,4: 48:[71, 53, 66] Operation: 80-14=66 Moving to Node #0,3 Current State: 48:[14, 53, 9], Operations: ['80-71=9'] Exploring Operation: 53+9=62, Resulting Numbers: [14, 62] Generated Node #0,3,0: 48:[14, 62] Operation: 53+9=62 Exploring Operation: 14-9=5, Resulting Numbers: [53, 5] Generated Node #0,3,1: 48:[53, 5] Operation: 14-9=5 Exploring Operation: 14+9=23, Resulting Numbers: [53, 23] Generated Node #0,3,2: 48:[53, 23] Operation: 14+9=23 Exploring Operation: 53-9=44, Resulting Numbers: [14, 44] Generated Node #0,3,3: 48:[14, 44] Operation: 53-9=44 Exploring Operation: 53-14=39, Resulting Numbers: [9, 39] Generated Node #0,3,4: 48:[9, 39] Operation: 53-14=39 Moving to Node #0,1 Current State: 48:[71, 14, 27], Operations: ['80-53=27'] Exploring Operation: 71+14=85, Resulting Numbers: [27, 85] Generated Node #0,1,0: 48:[27, 85] Operation: 71+14=85 Exploring Operation: 71-27=44, Resulting Numbers: [14, 44] Generated Node #0,1,1: 48:[14, 44] Operation: 71-27=44 Exploring Operation: 71-14=57, Resulting Numbers: [27, 57] Generated Node #0,1,2: 48:[27, 57] Operation: 71-14=57 Exploring Operation: 27-14=13, Resulting Numbers: [71, 13] Generated Node #0,1,3: 48:[71, 13] Operation: 27-14=13 Exploring Operation: 14+27=41, Resulting Numbers: [71, 41] Generated Node #0,1,4: 48:[71, 41] Operation: 14+27=41 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 48:[14, 44], Operations: ['80-53=27', '71-27=44'] Exploring Operation: 1444=616, Resulting Numbers: [616] 616,48 unequal: No Solution Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,48 unequal: No Solution Exploring Operation: 14+44=58, Resulting Numbers: [58] 58,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 48:[27, 57], Operations: ['80-53=27', '71-14=57'] Exploring Operation: 57-27=30, Resulting Numbers: [30] 30,48 unequal: No Solution Exploring Operation: 27+57=84, Resulting Numbers: [84] 84,48 unequal: No Solution Exploring Operation: 2757=1539, Resulting Numbers: [1539] 1539,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 48:[71, 13], Operations: ['80-53=27', '27-14=13'] Exploring Operation: 71+13=84, Resulting Numbers: [84] 84,48 unequal: No Solution Exploring Operation: 71-13=58, Resulting Numbers: [58] 58,48 unequal: No Solution Exploring Operation: 7113=923, Resulting Numbers: [923] 923,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 48:[71, 41], Operations: ['80-53=27', '14+27=41'] Exploring Operation: 7141=2911, Resulting Numbers: [2911] 2911,48 unequal: No Solution Exploring Operation: 71-41=30, Resulting Numbers: [30] 30,48 unequal: No Solution Exploring Operation: 71+41=112, Resulting Numbers: [112] 112,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 48:[27, 85], Operations: ['80-53=27', '71+14=85'] Exploring Operation: 85-27=58, Resulting Numbers: [58] 58,48 unequal: No Solution Exploring Operation: 27+85=112, Resulting Numbers: [112] 112,48 unequal: No Solution Exploring Operation: 27*85=2295, Resulting Numbers: [2295] 2295,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 48:[14, 80, 18], Operations: ['71-53=18'] Exploring Operation: 14+80=94, Resulting Numbers: [18, 94] Generated Node #0,2,0: 48:[18, 94] Operation: 14+80=94 Exploring Operation: 18-14=4, Resulting Numbers: [80, 4] Generated Node #0,2,1: 48:[80, 4] Operation: 18-14=4 Exploring Operation: 80-14=66, Resulting Numbers: [18, 66] Generated Node #0,2,2: 48:[18, 66] Operation: 80-14=66 Exploring Operation: 80-18=62, Resulting Numbers: [14, 62] Generated Node #0,2,3: 48:[14, 62] Operation: 80-18=62 Exploring Operation: 14+18=32, Resulting Numbers: [80, 32] Generated Node #0,2,4: 48:[80, 32] Operation: 14+18=32 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 48:[14, 62], Operations: ['71-53=18', '80-18=62'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[71, 14, 80, 53], Operations: [] Exploring Operation: 71-53=18, Resulting Numbers: [14, 80, 18] Generated Node #0,2: 48:[14, 80, 18] Operation: 71-53=18 Moving to Node #0,2 Current State: 48:[14, 80, 18], Operations: ['71-53=18'] Exploring Operation: 80-18=62, Resulting Numbers: [14, 62] Generated Node #0,2,3: 48:[14, 62] Operation: 80-18=62 Moving to Node #0,2,3 Current State: 48:[14, 62], Operations: ['71-53=18', '80-18=62'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1	0.965278	hs_5	mult_heuristic
[ 36, 53, 96, 58 ]	84	[ "58-53=5", "36*5=180", "180-96=84" ]	Current State: 84:[36, 53, 96, 58], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [36, 96, 5] Generated Node #2: [36, 96, 5] from Operation: 58-53=5 Current State: 84:[36, 96, 5], Operations: ['58-53=5'] Exploring Operation: 365=180, Resulting Numbers: [96, 180] Generated Node #3: [96, 180] from Operation: 365=180 Current State: 84:[96, 180], Operations: ['58-53=5', '36*5=180'] Exploring Operation: 180-96=84, Resulting Numbers: [84] 84,84 equal: Goal Reached	4	Current State: 84:[36, 53, 96, 58], Operations: [] Exploring Operation: 96-53=43, Resulting Numbers: [36, 58, 43] Generated Node #0,0: 84:[36, 58, 43] Operation: 96-53=43 Exploring Operation: 58-53=5, Resulting Numbers: [36, 96, 5] Generated Node #0,1: 84:[36, 96, 5] Operation: 58-53=5 Exploring Operation: 96-58=38, Resulting Numbers: [36, 53, 38] Generated Node #0,2: 84:[36, 53, 38] Operation: 96-58=38 Start Sub Search at level 1: Moving to Node #0,1 Current State: 84:[36, 96, 5], Operations: ['58-53=5'] Exploring Operation: 36+5=41, Resulting Numbers: [96, 41] Generated Node #0,1,0: 84:[96, 41] Operation: 36+5=41 Exploring Operation: 36-5=31, Resulting Numbers: [96, 31] Generated Node #0,1,1: 84:[96, 31] Operation: 36-5=31 Exploring Operation: 96-5=91, Resulting Numbers: [36, 91] Generated Node #0,1,2: 84:[36, 91] Operation: 96-5=91 Moving to Node #0,1,0 Current State: 84:[96, 41], Operations: ['58-53=5', '36+5=41'] Exploring Operation: 96-41=55, Resulting Numbers: [55] 55,84 unequal: No Solution Exploring Operation: 9641=3936, Resulting Numbers: [3936] 3936,84 unequal: No Solution Exploring Operation: 96+41=137, Resulting Numbers: [137] 137,84 unequal: No Solution Moving to Node #0,1,2 Current State: 84:[36, 91], Operations: ['58-53=5', '96-5=91'] Exploring Operation: 36+91=127, Resulting Numbers: [127] 127,84 unequal: No Solution Exploring Operation: 3691=3276, Resulting Numbers: [3276] 3276,84 unequal: No Solution Exploring Operation: 91-36=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[96, 31], Operations: ['58-53=5', '36-5=31'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,84 unequal: No Solution Exploring Operation: 9631=2976, Resulting Numbers: [2976] 2976,84 unequal: No Solution Exploring Operation: 96+31=127, Resulting Numbers: [127] 127,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 84:[36, 53, 38], Operations: ['96-58=38'] Exploring Operation: 36+53=89, Resulting Numbers: [38, 89] Generated Node #0,2,0: 84:[38, 89] Operation: 36+53=89 Exploring Operation: 53-38=15, Resulting Numbers: [36, 15] Generated Node #0,2,1: 84:[36, 15] Operation: 53-38=15 Exploring Operation: 53-36=17, Resulting Numbers: [38, 17] Generated Node #0,2,2: 84:[38, 17] Operation: 53-36=17 Moving to Node #0,2,1 Current State: 84:[36, 15], Operations: ['96-58=38', '53-38=15'] Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,84 unequal: No Solution Exploring Operation: 3615=540, Resulting Numbers: [540] 540,84 unequal: No Solution Exploring Operation: 36+15=51, Resulting Numbers: [51] 51,84 unequal: No Solution Moving to Node #0,2,2 Current State: 84:[38, 17], Operations: ['96-58=38', '53-36=17'] Exploring Operation: 38+17=55, Resulting Numbers: [55] 55,84 unequal: No Solution Exploring Operation: 38-17=21, Resulting Numbers: [21] 21,84 unequal: No Solution Exploring Operation: 3817=646, Resulting Numbers: [646] 646,84 unequal: No Solution Moving to Node #0,2,0 Current State: 84:[38, 89], Operations: ['96-58=38', '36+53=89'] Exploring Operation: 89-38=51, Resulting Numbers: [51] 51,84 unequal: No Solution Exploring Operation: 3889=3382, Resulting Numbers: [3382] 3382,84 unequal: No Solution Exploring Operation: 38+89=127, Resulting Numbers: [127] 127,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[36, 58, 43], Operations: ['96-53=43'] Exploring Operation: 58-43=15, Resulting Numbers: [36, 15] Generated Node #0,0,0: 84:[36, 15] Operation: 58-43=15 Exploring Operation: 58-36=22, Resulting Numbers: [43, 22] Generated Node #0,0,1: 84:[43, 22] Operation: 58-36=22 Exploring Operation: 36+58=94, Resulting Numbers: [43, 94] Generated Node #0,0,2: 84:[43, 94] Operation: 36+58=94 Moving to Node #0,0,1 Current State: 84:[43, 22], Operations: ['96-53=43', '58-36=22'] Exploring Operation: 4322=946, Resulting Numbers: [946] 946,84 unequal: No Solution Exploring Operation: 43+22=65, Resulting Numbers: [65] 65,84 unequal: No Solution Exploring Operation: 43-22=21, Resulting Numbers: [21] 21,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[36, 15], Operations: ['96-53=43', '58-43=15'] Exploring Operation: 36+15=51, Resulting Numbers: [51] 51,84 unequal: No Solution Exploring Operation: 3615=540, Resulting Numbers: [540] 540,84 unequal: No Solution Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[43, 94], Operations: ['96-53=43', '36+58=94'] Exploring Operation: 94-43=51, Resulting Numbers: [51] 51,84 unequal: No Solution Exploring Operation: 43*94=4042, Resulting Numbers: [4042] 4042,84 unequal: No Solution Exploring Operation: 43+94=137, Resulting Numbers: [137] 137,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 22, 97, 68, 1 ]	50	[ "22+97=119", "68+1=69", "119-69=50" ]	Current State: 50:[22, 97, 68, 1], Operations: [] Exploring Operation: 22+97=119, Resulting Numbers: [68, 1, 119] Generated Node #2: [68, 1, 119] from Operation: 22+97=119 Current State: 50:[68, 1, 119], Operations: ['22+97=119'] Exploring Operation: 68+1=69, Resulting Numbers: [119, 69] Generated Node #3: [119, 69] from Operation: 68+1=69 Current State: 50:[119, 69], Operations: ['22+97=119', '68+1=69'] Exploring Operation: 119-69=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	4	Current State: 50:[22, 97, 68, 1], Operations: [] Exploring Operation: 97-22=75, Resulting Numbers: [68, 1, 75] Generated Node #0,0: 50:[68, 1, 75] Operation: 97-22=75 Exploring Operation: 97-68=29, Resulting Numbers: [22, 1, 29] Generated Node #0,1: 50:[22, 1, 29] Operation: 97-68=29 Moving to Node #0,1 Current State: 50:[22, 1, 29], Operations: ['97-68=29'] Exploring Operation: 29-22=7, Resulting Numbers: [1, 7] Generated Node #0,1,0: 50:[1, 7] Operation: 29-22=7 Exploring Operation: 22+29=51, Resulting Numbers: [1, 51] Generated Node #0,1,1: 50:[1, 51] Operation: 22+29=51 Moving to Node #0,0 Current State: 50:[68, 1, 75], Operations: ['97-22=75'] Exploring Operation: 75-68=7, Resulting Numbers: [1, 7] Generated Node #0,0,0: 50:[1, 7] Operation: 75-68=7 Exploring Operation: 68-1=67, Resulting Numbers: [75, 67] Generated Node #0,0,1: 50:[75, 67] Operation: 68-1=67 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 50:[1, 7], Operations: ['97-22=75', '75-68=7'] Exploring Operation: 1+7=8, Resulting Numbers: [8] 8,50 unequal: No Solution Exploring Operation: 7-1=6, Resulting Numbers: [6] 6,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 50:[75, 67], Operations: ['97-22=75', '68-1=67'] Exploring Operation: 75-67=8, Resulting Numbers: [8] 8,50 unequal: No Solution Exploring Operation: 75+67=142, Resulting Numbers: [142] 142,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 50:[1, 51], Operations: ['97-68=29', '22+29=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,50 unequal: No Solution Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[22, 97, 68, 1], Operations: [] Exploring Operation: 97-68=29, Resulting Numbers: [22, 1, 29] Generated Node #0,1: 50:[22, 1, 29] Operation: 97-68=29 Moving to Node #0,1 Current State: 50:[22, 1, 29], Operations: ['97-68=29'] Exploring Operation: 22+29=51, Resulting Numbers: [1, 51] Generated Node #0,1,1: 50:[1, 51] Operation: 22+29=51 Moving to Node #0,1,1 Current State: 50:[1, 51], Operations: ['97-68=29', '22+29=51'] Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached	0.986111	hs_2	sum_heuristic

Subsets and Splits

No community queries yet

The top public SQL queries from the community will appear here once available.