Datasets:
Parallel-Reasoning
/
sosp_sft_data

Dataset card Data Studio Files
xet
Community
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
[ 7, 24, 4, 51 ]
89
[ "24-4=20", "7*20=140", "140-51=89" ]
Current State: 89:[7, 24, 4, 51], Operations: [] Exploring Operation: 24-4=20, Resulting Numbers: [7, 51, 20] Generated Node #2: [7, 51, 20] from Operation: 24-4=20 Current State: 89:[7, 51, 20], Operations: ['24-4=20'] Exploring Operation: 7*20=140, Resulting Numbers: [51, 140] Generated Node #3: [51, 140] from Operation: 7*20=140 Current State: 89:[51, 140], Operations: ['24-4=20', '7*20=140'] Exploring Operation: 140-51=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[7, 24, 4, 51], Operations: [] Exploring Operation: 7*4=28, Resulting Numbers: [24, 51, 28] Generated Node #0,0: 89:[24, 51, 28] Operation: 7*4=28 Exploring Operation: 24*4=96, Resulting Numbers: [7, 51, 96] Generated Node #0,1: 89:[7, 51, 96] Operation: 24*4=96 Moving to Node #0,1 Current State: 89:[7, 51, 96], Operations: ['24*4=96'] Exploring Operation: 7+51=58, Resulting Numbers: [96, 58] Generated Node #0,1,0: 89:[96, 58] Operation: 7+51=58 Exploring Operation: 96-7=89, Resulting Numbers: [51, 89] Generated Node #0,1,1: 89:[51, 89] Operation: 96-7=89 Moving to Node #0,0 Current State: 89:[24, 51, 28], Operations: ['7*4=28'] Exploring Operation: 24+51=75, Resulting Numbers: [28, 75] Generated Node #0,0,0: 89:[28, 75] Operation: 24+51=75 Exploring Operation: 24+28=52, Resulting Numbers: [51, 52] Generated Node #0,0,1: 89:[51, 52] Operation: 24+28=52 Moving to Node #0,1,0 Current State: 89:[96, 58], Operations: ['24*4=96', '7+51=58'] Exploring Operation: 96-58=38, Resulting Numbers: [38] 38,89 unequal: No Solution Exploring Operation: 96+58=154, Resulting Numbers: [154] 154,89 unequal: No Solution Moving to Node #0,1,1 Current State: 89:[51, 89], Operations: ['24*4=96', '96-7=89'] Exploring Operation: 51+89=140, Resulting Numbers: [140] 140,89 unequal: No Solution Exploring Operation: 89-51=38, Resulting Numbers: [38] 38,89 unequal: No Solution Moving to Node #0,0,1 Current State: 89:[51, 52], Operations: ['7*4=28', '24+28=52'] Exploring Operation: 51+52=103, Resulting Numbers: [103] 103,89 unequal: No Solution Exploring Operation: 52-51=1, Resulting Numbers: [1] 1,89 unequal: No Solution Moving to Node #0,0,0 Current State: 89:[28, 75], Operations: ['7*4=28', '24+51=75'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,89 unequal: No Solution Exploring Operation: 28+75=103, Resulting Numbers: [103] 103,89 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 20, 27, 32, 6 ]
50
[ "32-27=5", "6*5=30", "20+30=50" ]
Current State: 50:[20, 27, 32, 6], Operations: [] Exploring Operation: 32-27=5, Resulting Numbers: [20, 6, 5] Generated Node #2: [20, 6, 5] from Operation: 32-27=5 Current State: 50:[20, 6, 5], Operations: ['32-27=5'] Exploring Operation: 6*5=30, Resulting Numbers: [20, 30] Generated Node #3: [20, 30] from Operation: 6*5=30 Current State: 50:[20, 30], Operations: ['32-27=5', '6*5=30'] Exploring Operation: 20+30=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[20, 27, 32, 6], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [27, 6, 12] Generated Node #0,0: 50:[27, 6, 12] Operation: 32-20=12 Exploring Operation: 20+32=52, Resulting Numbers: [27, 6, 52] Generated Node #0,1: 50:[27, 6, 52] Operation: 20+32=52 Exploring Operation: 32-27=5, Resulting Numbers: [20, 6, 5] Generated Node #0,2: 50:[20, 6, 5] Operation: 32-27=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[27, 6, 12], Operations: ['32-20=12'] Exploring Operation: 12/6=2, Resulting Numbers: [27, 2] Generated Node #0,0,0: 50:[27, 2] Operation: 12/6=2 Exploring Operation: 12-6=6, Resulting Numbers: [27, 6] Generated Node #0,0,1: 50:[27, 6] Operation: 12-6=6 Exploring Operation: 27-6=21, Resulting Numbers: [12, 21] Generated Node #0,0,2: 50:[12, 21] Operation: 27-6=21 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 50:[27, 2], Operations: ['32-20=12', '12/6=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,50 unequal: No Solution Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,50 unequal: No Solution Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,50 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: 50:[27, 6], Operations: ['32-20=12', '12-6=6'] Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,50 unequal: No Solution Exploring Operation: 27*6=162, Resulting Numbers: [162] 162,50 unequal: No Solution Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,50 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: 50:[12, 21], Operations: ['32-20=12', '27-6=21'] Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,50 unequal: No Solution Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,50 unequal: No Solution Exploring Operation: 12*21=252, Resulting Numbers: [252] 252,50 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: 50:[27, 6, 52], Operations: ['20+32=52'] Exploring Operation: 52-27=25, Resulting Numbers: [6, 25] Generated Node #0,1,0: 50:[6, 25] Operation: 52-27=25 Exploring Operation: 52-6=46, Resulting Numbers: [27, 46] Generated Node #0,1,1: 50:[27, 46] Operation: 52-6=46 Exploring Operation: 27-6=21, Resulting Numbers: [52, 21] Generated Node #0,1,2: 50:[52, 21] Operation: 27-6=21 Moving to Node #0,1,0 Current State: 50:[6, 25], Operations: ['20+32=52', '52-27=25'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,50 unequal: No Solution Exploring Operation: 6*25=150, Resulting Numbers: [150] 150,50 unequal: No Solution Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,50 unequal: No Solution Moving to Node #0,1,1 Current State: 50:[27, 46], Operations: ['20+32=52', '52-6=46'] Exploring Operation: 27*46=1242, Resulting Numbers: [1242] 1242,50 unequal: No Solution Exploring Operation: 27+46=73, Resulting Numbers: [73] 73,50 unequal: No Solution Exploring Operation: 46-27=19, Resulting Numbers: [19] 19,50 unequal: No Solution Moving to Node #0,1,2 Current State: 50:[52, 21], Operations: ['20+32=52', '27-6=21'] Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,50 unequal: No Solution Exploring Operation: 52*21=1092, Resulting Numbers: [1092] 1092,50 unequal: No Solution Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,50 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 #0,2 Current State: 50:[20, 6, 5], Operations: ['32-27=5'] Exploring Operation: 20+6=26, Resulting Numbers: [5, 26] Generated Node #0,2,0: 50:[5, 26] Operation: 20+6=26 Exploring Operation: 20/5=4, Resulting Numbers: [6, 4] Generated Node #0,2,1: 50:[6, 4] Operation: 20/5=4 Exploring Operation: 20+5=25, Resulting Numbers: [6, 25] Generated Node #0,2,2: 50:[6, 25] Operation: 20+5=25 Moving to Node #0,2,0 Current State: 50:[5, 26], Operations: ['32-27=5', '20+6=26'] Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,50 unequal: No Solution Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,50 unequal: No Solution Exploring Operation: 5*26=130, Resulting Numbers: [130] 130,50 unequal: No Solution Moving to Node #0,2,2 Current State: 50:[6, 25], Operations: ['32-27=5', '20+5=25'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,50 unequal: No Solution Exploring Operation: 6*25=150, Resulting Numbers: [150] 150,50 unequal: No Solution Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,50 unequal: No Solution Moving to Node #0,2,1 Current State: 50:[6, 4], Operations: ['32-27=5', '20/5=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,50 unequal: No Solution Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,50 unequal: No Solution Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,50 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
[ 19, 16, 85, 11 ]
52
[ "19-16=3", "11*3=33", "85-33=52" ]
Current State: 52:[19, 16, 85, 11], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [85, 11, 3] Generated Node #2: [85, 11, 3] from Operation: 19-16=3 Current State: 52:[85, 11, 3], Operations: ['19-16=3'] Exploring Operation: 11*3=33, Resulting Numbers: [85, 33] Generated Node #3: [85, 33] from Operation: 11*3=33 Current State: 52:[85, 33], Operations: ['19-16=3', '11*3=33'] Exploring Operation: 85-33=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[19, 16, 85, 11], Operations: [] Exploring Operation: 85-19=66, Resulting Numbers: [16, 11, 66] Generated Node #0,0: 52:[16, 11, 66] Operation: 85-19=66 Exploring Operation: 85-11=74, Resulting Numbers: [19, 16, 74] Generated Node #0,1: 52:[19, 16, 74] Operation: 85-11=74 Exploring Operation: 19+11=30, Resulting Numbers: [16, 85, 30] Generated Node #0,2: 52:[16, 85, 30] Operation: 19+11=30 Exploring Operation: 85-16=69, Resulting Numbers: [19, 11, 69] Generated Node #0,3: 52:[19, 11, 69] Operation: 85-16=69 Exploring Operation: 19-16=3, Resulting Numbers: [85, 11, 3] Generated Node #0,4: 52:[85, 11, 3] Operation: 19-16=3 Moving to Node #0,0 Current State: 52:[16, 11, 66], Operations: ['85-19=66'] Exploring Operation: 66/11=6, Resulting Numbers: [16, 6] Generated Node #0,0,0: 52:[16, 6] Operation: 66/11=6 Exploring Operation: 66-11=55, Resulting Numbers: [16, 55] Generated Node #0,0,1: 52:[16, 55] Operation: 66-11=55 Exploring Operation: 66-16=50, Resulting Numbers: [11, 50] Generated Node #0,0,2: 52:[11, 50] Operation: 66-16=50 Exploring Operation: 16-11=5, Resulting Numbers: [66, 5] Generated Node #0,0,3: 52:[66, 5] Operation: 16-11=5 Exploring Operation: 16+11=27, Resulting Numbers: [66, 27] Generated Node #0,0,4: 52:[66, 27] Operation: 16+11=27 Moving to Node #0,3 Current State: 52:[19, 11, 69], Operations: ['85-16=69'] Exploring Operation: 69-11=58, Resulting Numbers: [19, 58] Generated Node #0,3,0: 52:[19, 58] Operation: 69-11=58 Exploring Operation: 11+69=80, Resulting Numbers: [19, 80] Generated Node #0,3,1: 52:[19, 80] Operation: 11+69=80 Exploring Operation: 19-11=8, Resulting Numbers: [69, 8] Generated Node #0,3,2: 52:[69, 8] Operation: 19-11=8 Exploring Operation: 69-19=50, Resulting Numbers: [11, 50] Generated Node #0,3,3: 52:[11, 50] Operation: 69-19=50 Exploring Operation: 19+11=30, Resulting Numbers: [69, 30] Generated Node #0,3,4: 52:[69, 30] Operation: 19+11=30 Moving to Node #0,1 Current State: 52:[19, 16, 74], Operations: ['85-11=74'] Exploring Operation: 19+74=93, Resulting Numbers: [16, 93] Generated Node #0,1,0: 52:[16, 93] Operation: 19+74=93 Exploring Operation: 19+16=35, Resulting Numbers: [74, 35] Generated Node #0,1,1: 52:[74, 35] Operation: 19+16=35 Exploring Operation: 74-19=55, Resulting Numbers: [16, 55] Generated Node #0,1,2: 52:[16, 55] Operation: 74-19=55 Exploring Operation: 19-16=3, Resulting Numbers: [74, 3] Generated Node #0,1,3: 52:[74, 3] Operation: 19-16=3 Exploring Operation: 74-16=58, Resulting Numbers: [19, 58] Generated Node #0,1,4: 52:[19, 58] Operation: 74-16=58 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 52:[16, 55], Operations: ['85-11=74', '74-19=55'] Exploring Operation: 55-16=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,52 unequal: No Solution Exploring Operation: 16*55=880, Resulting Numbers: [880] 880,52 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: 52:[19, 58], Operations: ['85-11=74', '74-16=58'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 19+58=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 19*58=1102, Resulting Numbers: [1102] 1102,52 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: 52:[74, 3], Operations: ['85-11=74', '19-16=3'] Exploring Operation: 74*3=222, Resulting Numbers: [222] 222,52 unequal: No Solution Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,52 unequal: No Solution Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,52 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: 52:[74, 35], Operations: ['85-11=74', '19+16=35'] Exploring Operation: 74+35=109, Resulting Numbers: [109] 109,52 unequal: No Solution Exploring Operation: 74-35=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 74*35=2590, Resulting Numbers: [2590] 2590,52 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: 52:[16, 93], Operations: ['85-11=74', '19+74=93'] Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 16+93=109, Resulting Numbers: [109] 109,52 unequal: No Solution Exploring Operation: 16*93=1488, Resulting Numbers: [1488] 1488,52 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: 52:[85, 11, 3], Operations: ['19-16=3'] Exploring Operation: 85-3=82, Resulting Numbers: [11, 82] Generated Node #0,4,0: 52:[11, 82] Operation: 85-3=82 Exploring Operation: 11-3=8, Resulting Numbers: [85, 8] Generated Node #0,4,1: 52:[85, 8] Operation: 11-3=8 Exploring Operation: 85+3=88, Resulting Numbers: [11, 88] Generated Node #0,4,2: 52:[11, 88] Operation: 85+3=88 Exploring Operation: 11+3=14, Resulting Numbers: [85, 14] Generated Node #0,4,3: 52:[85, 14] Operation: 11+3=14 Exploring Operation: 85-11=74, Resulting Numbers: [3, 74] Generated Node #0,4,4: 52:[3, 74] Operation: 85-11=74 Moving to Node #0,2 Current State: 52:[16, 85, 30], Operations: ['19+11=30'] Exploring Operation: 16+30=46, Resulting Numbers: [85, 46] Generated Node #0,2,0: 52:[85, 46] Operation: 16+30=46 Exploring Operation: 30-16=14, Resulting Numbers: [85, 14] Generated Node #0,2,1: 52:[85, 14] Operation: 30-16=14 Exploring Operation: 85-30=55, Resulting Numbers: [16, 55] Generated Node #0,2,2: 52:[16, 55] Operation: 85-30=55 Exploring Operation: 16+85=101, Resulting Numbers: [30, 101] Generated Node #0,2,3: 52:[30, 101] Operation: 16+85=101 Exploring Operation: 85-16=69, Resulting Numbers: [30, 69] Generated Node #0,2,4: 52:[30, 69] Operation: 85-16=69 Moving to Node #0,0,2 Current State: 52:[11, 50], Operations: ['85-19=66', '66-16=50'] Exploring Operation: 11+50=61, Resulting Numbers: [61] 61,52 unequal: No Solution Exploring Operation: 50-11=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 11*50=550, Resulting Numbers: [550] 550,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[11, 50], Operations: ['85-16=69', '69-19=50'] Exploring Operation: 50-11=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 11+50=61, Resulting Numbers: [61] 61,52 unequal: No Solution Exploring Operation: 11*50=550, Resulting Numbers: [550] 550,52 unequal: No Solution Moving to Node #0,0,0 Current State: 52:[16, 6], Operations: ['85-19=66', '66/11=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,52 unequal: No Solution Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,52 unequal: No Solution Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,52 unequal: No Solution Moving to Node #0,0,1 Current State: 52:[16, 55], Operations: ['85-19=66', '66-11=55'] Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,52 unequal: No Solution Exploring Operation: 16*55=880, Resulting Numbers: [880] 880,52 unequal: No Solution Exploring Operation: 55-16=39, Resulting Numbers: [39] 39,52 unequal: No Solution Moving to Node #0,2,2 Current State: 52:[16, 55], Operations: ['19+11=30', '85-30=55'] Exploring Operation: 16*55=880, Resulting Numbers: [880] 880,52 unequal: No Solution Exploring Operation: 55-16=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,52 unequal: No Solution Moving to Node #0,3,0 Current State: 52:[19, 58], Operations: ['85-16=69', '69-11=58'] Exploring Operation: 19+58=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 19*58=1102, Resulting Numbers: [1102] 1102,52 unequal: No Solution Moving to Node #0,0,4 Current State: 52:[66, 27], Operations: ['85-19=66', '16+11=27'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 66*27=1782, Resulting Numbers: [1782] 1782,52 unequal: No Solution Exploring Operation: 66+27=93, Resulting Numbers: [93] 93,52 unequal: No Solution Moving to Node #0,0,3 Current State: 52:[66, 5], Operations: ['85-19=66', '16-11=5'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,52 unequal: No Solution Exploring Operation: 66*5=330, Resulting Numbers: [330] 330,52 unequal: No Solution Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[69, 8], Operations: ['85-16=69', '19-11=8'] Exploring Operation: 69*8=552, Resulting Numbers: [552] 552,52 unequal: No Solution Exploring Operation: 69+8=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[69, 30], Operations: ['85-16=69', '19+11=30'] Exploring Operation: 69+30=99, Resulting Numbers: [99] 99,52 unequal: No Solution Exploring Operation: 69-30=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 69*30=2070, Resulting Numbers: [2070] 2070,52 unequal: No Solution Moving to Node #0,2,4 Current State: 52:[30, 69], Operations: ['19+11=30', '85-16=69'] Exploring Operation: 69-30=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 30+69=99, Resulting Numbers: [99] 99,52 unequal: No Solution Exploring Operation: 30*69=2070, Resulting Numbers: [2070] 2070,52 unequal: No Solution Moving to Node #0,4,4 Current State: 52:[3, 74], Operations: ['19-16=3', '85-11=74'] Exploring Operation: 3*74=222, Resulting Numbers: [222] 222,52 unequal: No Solution Exploring Operation: 3+74=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,52 unequal: No Solution Moving to Node #0,4,0 Current State: 52:[11, 82], Operations: ['19-16=3', '85-3=82'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,52 unequal: No Solution Exploring Operation: 11+82=93, Resulting Numbers: [93] 93,52 unequal: No Solution Exploring Operation: 11*82=902, Resulting Numbers: [902] 902,52 unequal: No Solution Moving to Node #0,2,1 Current State: 52:[85, 14], Operations: ['19+11=30', '30-16=14'] Exploring Operation: 85+14=99, Resulting Numbers: [99] 99,52 unequal: No Solution Exploring Operation: 85*14=1190, Resulting Numbers: [1190] 1190,52 unequal: No Solution Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,52 unequal: No Solution Moving to Node #0,4,3 Current State: 52:[85, 14], Operations: ['19-16=3', '11+3=14'] Exploring Operation: 85*14=1190, Resulting Numbers: [1190] 1190,52 unequal: No Solution Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,52 unequal: No Solution Exploring Operation: 85+14=99, Resulting Numbers: [99] 99,52 unequal: No Solution Moving to Node #0,3,1 Current State: 52:[19, 80], Operations: ['85-16=69', '11+69=80'] Exploring Operation: 19*80=1520, Resulting Numbers: [1520] 1520,52 unequal: No Solution Exploring Operation: 19+80=99, Resulting Numbers: [99] 99,52 unequal: No Solution Exploring Operation: 80-19=61, Resulting Numbers: [61] 61,52 unequal: No Solution Moving to Node #0,4,1 Current State: 52:[85, 8], Operations: ['19-16=3', '11-3=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,52 unequal: No Solution Exploring Operation: 85*8=680, Resulting Numbers: [680] 680,52 unequal: No Solution Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,52 unequal: No Solution Moving to Node #0,4,2 Current State: 52:[11, 88], Operations: ['19-16=3', '85+3=88'] Exploring Operation: 11+88=99, Resulting Numbers: [99] 99,52 unequal: No Solution Exploring Operation: 88/11=8, Resulting Numbers: [8] 8,52 unequal: No Solution Exploring Operation: 11*88=968, Resulting Numbers: [968] 968,52 unequal: No Solution Exploring Operation: 88-11=77, Resulting Numbers: [77] 77,52 unequal: No Solution Moving to Node #0,2,0 Current State: 52:[85, 46], Operations: ['19+11=30', '16+30=46'] Exploring Operation: 85*46=3910, Resulting Numbers: [3910] 3910,52 unequal: No Solution Exploring Operation: 85-46=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 85+46=131, Resulting Numbers: [131] 131,52 unequal: No Solution Moving to Node #0,2,3 Current State: 52:[30, 101], Operations: ['19+11=30', '16+85=101'] Exploring Operation: 30+101=131, Resulting Numbers: [131] 131,52 unequal: No Solution Exploring Operation: 101-30=71, Resulting Numbers: [71] 71,52 unequal: No Solution Exploring Operation: 30*101=3030, Resulting Numbers: [3030] 3030,52 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 8, 49, 98, 49 ]
98
[ "49-49=0", "8*0=0", "98+0=98" ]
Current State: 98:[8, 49, 98, 49], Operations: [] Exploring Operation: 49-49=0, Resulting Numbers: [8, 98, 0] Generated Node #2: [8, 98, 0] from Operation: 49-49=0 Current State: 98:[8, 98, 0], Operations: ['49-49=0'] Exploring Operation: 8*0=0, Resulting Numbers: [98, 0] Generated Node #3: [98, 0] from Operation: 8*0=0 Current State: 98:[98, 0], Operations: ['49-49=0', '8*0=0'] Exploring Operation: 98+0=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[8, 49, 98, 49], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [8, 49, 2] Generated Node #0,0: 98:[8, 49, 2] Operation: 98/49=2 Exploring Operation: 98/49=2, Resulting Numbers: [8, 49, 2] Generated Node #0,1: 98:[8, 49, 2] Operation: 98/49=2 Exploring Operation: 98-49=49, Resulting Numbers: [8, 49, 49] Generated Node #0,2: 98:[8, 49, 49] Operation: 98-49=49 Exploring Operation: 98-49=49, Resulting Numbers: [8, 49, 49] Generated Node #0,3: 98:[8, 49, 49] Operation: 98-49=49 Exploring Operation: 49+49=98, Resulting Numbers: [8, 98, 98] Generated Node #0,4: 98:[8, 98, 98] Operation: 49+49=98 Moving to Node #0,0 Current State: 98:[8, 49, 2], Operations: ['98/49=2'] Exploring Operation: 8+2=10, Resulting Numbers: [49, 10] Generated Node #0,0,0: 98:[49, 10] Operation: 8+2=10 Exploring Operation: 8-2=6, Resulting Numbers: [49, 6] Generated Node #0,0,1: 98:[49, 6] Operation: 8-2=6 Exploring Operation: 8/2=4, Resulting Numbers: [49, 4] Generated Node #0,0,2: 98:[49, 4] Operation: 8/2=4 Exploring Operation: 8*2=16, Resulting Numbers: [49, 16] Generated Node #0,0,3: 98:[49, 16] Operation: 8*2=16 Exploring Operation: 49*2=98, Resulting Numbers: [8, 98] Generated Node #0,0,4: 98:[8, 98] Operation: 49*2=98 Moving to Node #0,2 Current State: 98:[8, 49, 49], Operations: ['98-49=49'] Exploring Operation: 8+49=57, Resulting Numbers: [49, 57] Generated Node #0,2,0: 98:[49, 57] Operation: 8+49=57 Exploring Operation: 49-8=41, Resulting Numbers: [49, 41] Generated Node #0,2,1: 98:[49, 41] Operation: 49-8=41 Exploring Operation: 49+49=98, Resulting Numbers: [8, 98] Generated Node #0,2,2: 98:[8, 98] Operation: 49+49=98 Exploring Operation: 49/49=1, Resulting Numbers: [8, 1] Generated Node #0,2,3: 98:[8, 1] Operation: 49/49=1 Exploring Operation: 49-49=0, Resulting Numbers: [8, 0] Generated Node #0,2,4: 98:[8, 0] Operation: 49-49=0 Moving to Node #0,4 Current State: 98:[8, 98, 98], Operations: ['49+49=98'] Exploring Operation: 98/98=1, Resulting Numbers: [8, 1] Generated Node #0,4,0: 98:[8, 1] Operation: 98/98=1 Exploring Operation: 8+98=106, Resulting Numbers: [98, 106] Generated Node #0,4,1: 98:[98, 106] Operation: 8+98=106 Exploring Operation: 8+98=106, Resulting Numbers: [98, 106] Generated Node #0,4,2: 98:[98, 106] Operation: 8+98=106 Exploring Operation: 98-98=0, Resulting Numbers: [8, 0] Generated Node #0,4,3: 98:[8, 0] Operation: 98-98=0 Exploring Operation: 98-8=90, Resulting Numbers: [98, 90] Generated Node #0,4,4: 98:[98, 90] Operation: 98-8=90 Moving to Node #0,1 Current State: 98:[8, 49, 2], Operations: ['98/49=2'] Exploring Operation: 49*2=98, Resulting Numbers: [8, 98] Generated Node #0,1,0: 98:[8, 98] Operation: 49*2=98 Exploring Operation: 8/2=4, Resulting Numbers: [49, 4] Generated Node #0,1,1: 98:[49, 4] Operation: 8/2=4 Exploring Operation: 8-2=6, Resulting Numbers: [49, 6] Generated Node #0,1,2: 98:[49, 6] Operation: 8-2=6 Exploring Operation: 8*2=16, Resulting Numbers: [49, 16] Generated Node #0,1,3: 98:[49, 16] Operation: 8*2=16 Exploring Operation: 8+2=10, Resulting Numbers: [49, 10] Generated Node #0,1,4: 98:[49, 10] Operation: 8+2=10 Moving to Node #0,3 Current State: 98:[8, 49, 49], Operations: ['98-49=49'] Exploring Operation: 8+49=57, Resulting Numbers: [49, 57] Generated Node #0,3,0: 98:[49, 57] Operation: 8+49=57 Exploring Operation: 49-8=41, Resulting Numbers: [49, 41] Generated Node #0,3,1: 98:[49, 41] Operation: 49-8=41 Exploring Operation: 49-49=0, Resulting Numbers: [8, 0] Generated Node #0,3,2: 98:[8, 0] Operation: 49-49=0 Exploring Operation: 49/49=1, Resulting Numbers: [8, 1] Generated Node #0,3,3: 98:[8, 1] Operation: 49/49=1 Exploring Operation: 49+49=98, Resulting Numbers: [8, 98] Generated Node #0,3,4: 98:[8, 98] Operation: 49+49=98 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 98:[8, 98], Operations: ['98-49=49', '49+49=98'] Exploring Operation: 8*98=784, Resulting Numbers: [784] 784,98 unequal: No Solution Exploring Operation: 8+98=106, Resulting Numbers: [106] 106,98 unequal: No Solution Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,98 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 #0,3,3 Current State: 98:[8, 1], Operations: ['98-49=49', '49/49=1'] Exploring Operation: 8+1=9, Resulting Numbers: [9] 9,98 unequal: No Solution Exploring Operation: 8-1=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 8*1=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8/1=8, Resulting Numbers: [8] 8,98 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 #0,3,2 Current State: 98:[8, 0], Operations: ['98-49=49', '49-49=0'] Exploring Operation: 8-0=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8+0=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8*0=0, Resulting Numbers: [0] 0,98 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 #0,3,0 Current State: 98:[49, 57], Operations: ['98-49=49', '8+49=57'] Exploring Operation: 49*57=2793, Resulting Numbers: [2793] 2793,98 unequal: No Solution Exploring Operation: 57-49=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 49+57=106, Resulting Numbers: [106] 106,98 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 #0,3,1 Current State: 98:[49, 41], Operations: ['98-49=49', '49-8=41'] Exploring Operation: 49+41=90, Resulting Numbers: [90] 90,98 unequal: No Solution Exploring Operation: 49-41=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 49*41=2009, Resulting Numbers: [2009] 2009,98 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: 98:[49, 6], Operations: ['98/49=2', '8-2=6'] Exploring Operation: 49*6=294, Resulting Numbers: [294] 294,98 unequal: No Solution Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,98 unequal: No Solution Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,98 unequal: No Solution Moving to Node #0,2,2 Current State: 98:[8, 98], Operations: ['98-49=49', '49+49=98'] Exploring Operation: 8+98=106, Resulting Numbers: [106] 106,98 unequal: No Solution Exploring Operation: 8*98=784, Resulting Numbers: [784] 784,98 unequal: No Solution Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,98 unequal: No Solution Moving to Node #0,0,4 Current State: 98:[8, 98], Operations: ['98/49=2', '49*2=98'] Exploring Operation: 8*98=784, Resulting Numbers: [784] 784,98 unequal: No Solution Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,98 unequal: No Solution Exploring Operation: 8+98=106, Resulting Numbers: [106] 106,98 unequal: No Solution Moving to Node #0,1,0 Current State: 98:[8, 98], Operations: ['98/49=2', '49*2=98'] Exploring Operation: 8+98=106, Resulting Numbers: [106] 106,98 unequal: No Solution Exploring Operation: 8*98=784, Resulting Numbers: [784] 784,98 unequal: No Solution Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,98 unequal: No Solution Moving to Node #0,1,2 Current State: 98:[49, 6], Operations: ['98/49=2', '8-2=6'] Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,98 unequal: No Solution Exploring Operation: 49*6=294, Resulting Numbers: [294] 294,98 unequal: No Solution Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,98 unequal: No Solution Moving to Node #0,2,3 Current State: 98:[8, 1], Operations: ['98-49=49', '49/49=1'] Exploring Operation: 8+1=9, Resulting Numbers: [9] 9,98 unequal: No Solution Exploring Operation: 8*1=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8-1=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 8/1=8, Resulting Numbers: [8] 8,98 unequal: No Solution Moving to Node #0,0,2 Current State: 98:[49, 4], Operations: ['98/49=2', '8/2=4'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,98 unequal: No Solution Exploring Operation: 49+4=53, Resulting Numbers: [53] 53,98 unequal: No Solution Exploring Operation: 49*4=196, Resulting Numbers: [196] 196,98 unequal: No Solution Moving to Node #0,4,0 Current State: 98:[8, 1], Operations: ['49+49=98', '98/98=1'] Exploring Operation: 8-1=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 8*1=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8/1=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8+1=9, Resulting Numbers: [9] 9,98 unequal: No Solution Moving to Node #0,1,3 Current State: 98:[49, 16], Operations: ['98/49=2', '8*2=16'] Exploring Operation: 49*16=784, Resulting Numbers: [784] 784,98 unequal: No Solution Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,98 unequal: No Solution Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[49, 4], Operations: ['98/49=2', '8/2=4'] Exploring Operation: 49*4=196, Resulting Numbers: [196] 196,98 unequal: No Solution Exploring Operation: 49+4=53, Resulting Numbers: [53] 53,98 unequal: No Solution Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,98 unequal: No Solution Moving to Node #0,0,3 Current State: 98:[49, 16], Operations: ['98/49=2', '8*2=16'] Exploring Operation: 49*16=784, Resulting Numbers: [784] 784,98 unequal: No Solution Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,98 unequal: No Solution Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,98 unequal: No Solution Moving to Node #0,4,3 Current State: 98:[8, 0], Operations: ['49+49=98', '98-98=0'] Exploring Operation: 8*0=0, Resulting Numbers: [0] 0,98 unequal: No Solution Exploring Operation: 8+0=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8-0=8, Resulting Numbers: [8] 8,98 unequal: No Solution Moving to Node #0,2,4 Current State: 98:[8, 0], Operations: ['98-49=49', '49-49=0'] Exploring Operation: 8*0=0, Resulting Numbers: [0] 0,98 unequal: No Solution Exploring Operation: 8+0=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 8-0=8, Resulting Numbers: [8] 8,98 unequal: No Solution Moving to Node #0,0,0 Current State: 98:[49, 10], Operations: ['98/49=2', '8+2=10'] Exploring Operation: 49*10=490, Resulting Numbers: [490] 490,98 unequal: No Solution Exploring Operation: 49+10=59, Resulting Numbers: [59] 59,98 unequal: No Solution Exploring Operation: 49-10=39, Resulting Numbers: [39] 39,98 unequal: No Solution Moving to Node #0,1,4 Current State: 98:[49, 10], Operations: ['98/49=2', '8+2=10'] Exploring Operation: 49-10=39, Resulting Numbers: [39] 39,98 unequal: No Solution Exploring Operation: 49+10=59, Resulting Numbers: [59] 59,98 unequal: No Solution Exploring Operation: 49*10=490, Resulting Numbers: [490] 490,98 unequal: No Solution Moving to Node #0,4,4 Current State: 98:[98, 90], Operations: ['49+49=98', '98-8=90'] Exploring Operation: 98*90=8820, Resulting Numbers: [8820] 8820,98 unequal: No Solution Exploring Operation: 98+90=188, Resulting Numbers: [188] 188,98 unequal: No Solution Exploring Operation: 98-90=8, Resulting Numbers: [8] 8,98 unequal: No Solution Moving to Node #0,4,2 Current State: 98:[98, 106], Operations: ['49+49=98', '8+98=106'] Exploring Operation: 98*106=10388, Resulting Numbers: [10388] 10388,98 unequal: No Solution Exploring Operation: 98+106=204, Resulting Numbers: [204] 204,98 unequal: No Solution Exploring Operation: 106-98=8, Resulting Numbers: [8] 8,98 unequal: No Solution Moving to Node #0,2,1 Current State: 98:[49, 41], Operations: ['98-49=49', '49-8=41'] Exploring Operation: 49+41=90, Resulting Numbers: [90] 90,98 unequal: No Solution Exploring Operation: 49-41=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 49*41=2009, Resulting Numbers: [2009] 2009,98 unequal: No Solution Moving to Node #0,4,1 Current State: 98:[98, 106], Operations: ['49+49=98', '8+98=106'] Exploring Operation: 106-98=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 98*106=10388, Resulting Numbers: [10388] 10388,98 unequal: No Solution Exploring Operation: 98+106=204, Resulting Numbers: [204] 204,98 unequal: No Solution Moving to Node #0,2,0 Current State: 98:[49, 57], Operations: ['98-49=49', '8+49=57'] Exploring Operation: 57-49=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 49+57=106, Resulting Numbers: [106] 106,98 unequal: No Solution Exploring Operation: 49*57=2793, Resulting Numbers: [2793] 2793,98 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 13, 72, 65, 25 ]
84
[ "25-13=12", "72-65=7", "12*7=84" ]
Current State: 84:[13, 72, 65, 25], Operations: [] Exploring Operation: 25-13=12, Resulting Numbers: [72, 65, 12] Generated Node #2: [72, 65, 12] from Operation: 25-13=12 Current State: 84:[72, 65, 12], Operations: ['25-13=12'] Exploring Operation: 72-65=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 72-65=7 Current State: 84:[12, 7], Operations: ['25-13=12', '72-65=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[13, 72, 65, 25], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [13, 25, 7] Generated Node #0,0: 84:[13, 25, 7] Operation: 72-65=7 Exploring Operation: 65/13=5, Resulting Numbers: [72, 25, 5] Generated Node #0,1: 84:[72, 25, 5] Operation: 65/13=5 Exploring Operation: 65-25=40, Resulting Numbers: [13, 72, 40] Generated Node #0,2: 84:[13, 72, 40] Operation: 65-25=40 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[13, 25, 7], Operations: ['72-65=7'] Exploring Operation: 13+25=38, Resulting Numbers: [7, 38] Generated Node #0,0,0: 84:[7, 38] Operation: 13+25=38 Exploring Operation: 25-13=12, Resulting Numbers: [7, 12] Generated Node #0,0,1: 84:[7, 12] Operation: 25-13=12 Exploring Operation: 13-7=6, Resulting Numbers: [25, 6] Generated Node #0,0,2: 84:[25, 6] Operation: 13-7=6 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 84:[7, 12], Operations: ['72-65=7', '25-13=12'] Exploring Operation: 12-7=5, Resulting Numbers: [5] 5,84 unequal: No Solution Exploring Operation: 7+12=19, Resulting Numbers: [19] 19,84 unequal: No Solution Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[13, 72, 65, 25], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [13, 25, 7] Generated Node #0,0: 84:[13, 25, 7] Operation: 72-65=7 Moving to Node #0,0 Current State: 84:[13, 25, 7], Operations: ['72-65=7'] Exploring Operation: 25-13=12, Resulting Numbers: [7, 12] Generated Node #0,0,1: 84:[7, 12] Operation: 25-13=12 Moving to Node #0,0,1 Current State: 84:[7, 12], Operations: ['72-65=7', '25-13=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 87, 70, 24, 58 ]
99
[ "87-70=17", "24+58=82", "17+82=99" ]
Current State: 99:[87, 70, 24, 58], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [24, 58, 17] Generated Node #2: [24, 58, 17] from Operation: 87-70=17 Current State: 99:[24, 58, 17], Operations: ['87-70=17'] Exploring Operation: 24+58=82, Resulting Numbers: [17, 82] Generated Node #3: [17, 82] from Operation: 24+58=82 Current State: 99:[17, 82], Operations: ['87-70=17', '24+58=82'] Exploring Operation: 17+82=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[87, 70, 24, 58], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [24, 58, 17] Generated Node #0,0: 99:[24, 58, 17] Operation: 87-70=17 Exploring Operation: 70-58=12, Resulting Numbers: [87, 24, 12] Generated Node #0,1: 99:[87, 24, 12] Operation: 70-58=12 Exploring Operation: 87-58=29, Resulting Numbers: [70, 24, 29] Generated Node #0,2: 99:[70, 24, 29] Operation: 87-58=29 Start Sub Search at level 1: Moving to Node #0,1 Current State: 99:[87, 24, 12], Operations: ['70-58=12'] Exploring Operation: 24-12=12, Resulting Numbers: [87, 12] Generated Node #0,1,0: 99:[87, 12] Operation: 24-12=12 Exploring Operation: 87+12=99, Resulting Numbers: [24, 99] Generated Node #0,1,1: 99:[24, 99] Operation: 87+12=99 Exploring Operation: 87+24=111, Resulting Numbers: [12, 111] Generated Node #0,1,2: 99:[12, 111] Operation: 87+24=111 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 99:[24, 99], Operations: ['70-58=12', '87+12=99'] Exploring Operation: 99-24=75, Resulting Numbers: [75] 75,99 unequal: No Solution Exploring Operation: 24*99=2376, Resulting Numbers: [2376] 2376,99 unequal: No Solution Exploring Operation: 24+99=123, Resulting Numbers: [123] 123,99 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: 99:[87, 12], Operations: ['70-58=12', '24-12=12'] Exploring Operation: 87+12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[87, 70, 24, 58], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [87, 24, 12] Generated Node #0,1: 99:[87, 24, 12] Operation: 70-58=12 Moving to Node #0,1 Current State: 99:[87, 24, 12], Operations: ['70-58=12'] Exploring Operation: 24-12=12, Resulting Numbers: [87, 12] Generated Node #0,1,0: 99:[87, 12] Operation: 24-12=12 Moving to Node #0,1,0 Current State: 99:[87, 12], Operations: ['70-58=12', '24-12=12'] Exploring Operation: 87+12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_3
sum_heuristic
[ 48, 76, 82, 44 ]
96
[ "48*76=3648", "82-44=38", "3648/38=96" ]
Current State: 96:[48, 76, 82, 44], Operations: [] Exploring Operation: 48*76=3648, Resulting Numbers: [82, 44, 3648] Generated Node #2: [82, 44, 3648] from Operation: 48*76=3648 Current State: 96:[82, 44, 3648], Operations: ['48*76=3648'] Exploring Operation: 82-44=38, Resulting Numbers: [3648, 38] Generated Node #3: [3648, 38] from Operation: 82-44=38 Current State: 96:[3648, 38], Operations: ['48*76=3648', '82-44=38'] Exploring Operation: 3648/38=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[48, 76, 82, 44], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [82, 44, 28] Generated Node #0,0: 96:[82, 44, 28] Operation: 76-48=28 Exploring Operation: 82-48=34, Resulting Numbers: [76, 44, 34] Generated Node #0,1: 96:[76, 44, 34] Operation: 82-48=34 Exploring Operation: 82-44=38, Resulting Numbers: [48, 76, 38] Generated Node #0,2: 96:[48, 76, 38] Operation: 82-44=38 Exploring Operation: 82-76=6, Resulting Numbers: [48, 44, 6] Generated Node #0,3: 96:[48, 44, 6] Operation: 82-76=6 Exploring Operation: 76-44=32, Resulting Numbers: [48, 82, 32] Generated Node #0,4: 96:[48, 82, 32] Operation: 76-44=32 Moving to Node #0,3 Current State: 96:[48, 44, 6], Operations: ['82-76=6'] Exploring Operation: 44-6=38, Resulting Numbers: [48, 38] Generated Node #0,3,0: 96:[48, 38] Operation: 44-6=38 Exploring Operation: 48+44=92, Resulting Numbers: [6, 92] Generated Node #0,3,1: 96:[6, 92] Operation: 48+44=92 Exploring Operation: 48/6=8, Resulting Numbers: [44, 8] Generated Node #0,3,2: 96:[44, 8] Operation: 48/6=8 Exploring Operation: 44+6=50, Resulting Numbers: [48, 50] Generated Node #0,3,3: 96:[48, 50] Operation: 44+6=50 Exploring Operation: 48-44=4, Resulting Numbers: [6, 4] Generated Node #0,3,4: 96:[6, 4] Operation: 48-44=4 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 96:[6, 4], Operations: ['82-76=6', '48-44=4'] Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,96 unequal: No Solution Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,96 unequal: No Solution Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,96 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: 96:[48, 50], Operations: ['82-76=6', '44+6=50'] Exploring Operation: 48+50=98, Resulting Numbers: [98] 98,96 unequal: No Solution Exploring Operation: 48*50=2400, Resulting Numbers: [2400] 2400,96 unequal: No Solution Exploring Operation: 50-48=2, Resulting Numbers: [2] 2,96 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: 96:[6, 92], Operations: ['82-76=6', '48+44=92'] Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,96 unequal: No Solution Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,96 unequal: No Solution Exploring Operation: 6*92=552, Resulting Numbers: [552] 552,96 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: 96:[44, 8], Operations: ['82-76=6', '48/6=8'] Exploring Operation: 44*8=352, Resulting Numbers: [352] 352,96 unequal: No Solution Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,96 unequal: No Solution Exploring Operation: 44+8=52, Resulting Numbers: [52] 52,96 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: 96:[48, 38], Operations: ['82-76=6', '44-6=38'] Exploring Operation: 48-38=10, Resulting Numbers: [10] 10,96 unequal: No Solution Exploring Operation: 48*38=1824, Resulting Numbers: [1824] 1824,96 unequal: No Solution Exploring Operation: 48+38=86, Resulting Numbers: [86] 86,96 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: 96:[48, 82, 32], Operations: ['76-44=32'] Exploring Operation: 82-32=50, Resulting Numbers: [48, 50] Generated Node #0,4,0: 96:[48, 50] Operation: 82-32=50 Exploring Operation: 48+32=80, Resulting Numbers: [82, 80] Generated Node #0,4,1: 96:[82, 80] Operation: 48+32=80 Exploring Operation: 82-48=34, Resulting Numbers: [32, 34] Generated Node #0,4,2: 96:[32, 34] Operation: 82-48=34 Exploring Operation: 82+32=114, Resulting Numbers: [48, 114] Generated Node #0,4,3: 96:[48, 114] Operation: 82+32=114 Exploring Operation: 48-32=16, Resulting Numbers: [82, 16] Generated Node #0,4,4: 96:[82, 16] Operation: 48-32=16 Moving to Node #0,0 Current State: 96:[82, 44, 28], Operations: ['76-48=28'] Exploring Operation: 82+44=126, Resulting Numbers: [28, 126] Generated Node #0,0,0: 96:[28, 126] Operation: 82+44=126 Exploring Operation: 82-44=38, Resulting Numbers: [28, 38] Generated Node #0,0,1: 96:[28, 38] Operation: 82-44=38 Exploring Operation: 82+28=110, Resulting Numbers: [44, 110] Generated Node #0,0,2: 96:[44, 110] Operation: 82+28=110 Exploring Operation: 44-28=16, Resulting Numbers: [82, 16] Generated Node #0,0,3: 96:[82, 16] Operation: 44-28=16 Exploring Operation: 82-28=54, Resulting Numbers: [44, 54] Generated Node #0,0,4: 96:[44, 54] Operation: 82-28=54 Moving to Node #0,1 Current State: 96:[76, 44, 34], Operations: ['82-48=34'] Exploring Operation: 76-34=42, Resulting Numbers: [44, 42] Generated Node #0,1,0: 96:[44, 42] Operation: 76-34=42 Exploring Operation: 76+34=110, Resulting Numbers: [44, 110] Generated Node #0,1,1: 96:[44, 110] Operation: 76+34=110 Exploring Operation: 76+44=120, Resulting Numbers: [34, 120] Generated Node #0,1,2: 96:[34, 120] Operation: 76+44=120 Exploring Operation: 44-34=10, Resulting Numbers: [76, 10] Generated Node #0,1,3: 96:[76, 10] Operation: 44-34=10 Exploring Operation: 76-44=32, Resulting Numbers: [34, 32] Generated Node #0,1,4: 96:[34, 32] Operation: 76-44=32 Moving to Node #0,2 Current State: 96:[48, 76, 38], Operations: ['82-44=38'] Exploring Operation: 48-38=10, Resulting Numbers: [76, 10] Generated Node #0,2,0: 96:[76, 10] Operation: 48-38=10 Exploring Operation: 76-48=28, Resulting Numbers: [38, 28] Generated Node #0,2,1: 96:[38, 28] Operation: 76-48=28 Exploring Operation: 76-38=38, Resulting Numbers: [48, 38] Generated Node #0,2,2: 96:[48, 38] Operation: 76-38=38 Exploring Operation: 76+38=114, Resulting Numbers: [48, 114] Generated Node #0,2,3: 96:[48, 114] Operation: 76+38=114 Exploring Operation: 76/38=2, Resulting Numbers: [48, 2] Generated Node #0,2,4: 96:[48, 2] Operation: 76/38=2 Moving to Node #0,2,4 Current State: 96:[48, 2], Operations: ['82-44=38', '76/38=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,96 unequal: No Solution Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,96 unequal: No Solution Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,96 unequal: No Solution Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[48, 76, 82, 44], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [48, 76, 38] Generated Node #0,2: 96:[48, 76, 38] Operation: 82-44=38 Moving to Node #0,2 Current State: 96:[48, 76, 38], Operations: ['82-44=38'] Exploring Operation: 76/38=2, Resulting Numbers: [48, 2] Generated Node #0,2,4: 96:[48, 2] Operation: 76/38=2 Moving to Node #0,2,4 Current State: 96:[48, 2], Operations: ['82-44=38', '76/38=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
0.953993
hs_5
mult_heuristic
[ 81, 95, 70, 22 ]
97
[ "81-70=11", "22/11=2", "95+2=97" ]
Current State: 97:[81, 95, 70, 22], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [95, 22, 11] Generated Node #2: [95, 22, 11] from Operation: 81-70=11 Current State: 97:[95, 22, 11], Operations: ['81-70=11'] Exploring Operation: 22/11=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 22/11=2 Current State: 97:[95, 2], Operations: ['81-70=11', '22/11=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[81, 95, 70, 22], Operations: [] Exploring Operation: 81+22=103, Resulting Numbers: [95, 70, 103] Generated Node #0,0: 97:[95, 70, 103] Operation: 81+22=103 Exploring Operation: 70+22=92, Resulting Numbers: [81, 95, 92] Generated Node #0,1: 97:[81, 95, 92] Operation: 70+22=92 Moving to Node #0,1 Current State: 97:[81, 95, 92], Operations: ['70+22=92'] Exploring Operation: 81+92=173, Resulting Numbers: [95, 173] Generated Node #0,1,0: 97:[95, 173] Operation: 81+92=173 Exploring Operation: 81+95=176, Resulting Numbers: [92, 176] Generated Node #0,1,1: 97:[92, 176] Operation: 81+95=176 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 97:[95, 173], Operations: ['70+22=92', '81+92=173'] Exploring Operation: 95+173=268, Resulting Numbers: [268] 268,97 unequal: No Solution Exploring Operation: 173-95=78, Resulting Numbers: [78] 78,97 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: 97:[92, 176], Operations: ['70+22=92', '81+95=176'] Exploring Operation: 176-92=84, Resulting Numbers: [84] 84,97 unequal: No Solution Exploring Operation: 92+176=268, Resulting Numbers: [268] 268,97 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: 97:[95, 70, 103], Operations: ['81+22=103'] Exploring Operation: 95+70=165, Resulting Numbers: [103, 165] Generated Node #0,0,0: 97:[103, 165] Operation: 95+70=165 Exploring Operation: 103-70=33, Resulting Numbers: [95, 33] Generated Node #0,0,1: 97:[95, 33] Operation: 103-70=33 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 97:[95, 33], Operations: ['81+22=103', '103-70=33'] Exploring Operation: 95-33=62, Resulting Numbers: [62] 62,97 unequal: No Solution Exploring Operation: 95+33=128, Resulting Numbers: [128] 128,97 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: 97:[103, 165], Operations: ['81+22=103', '95+70=165'] Exploring Operation: 103+165=268, Resulting Numbers: [268] 268,97 unequal: No Solution Exploring Operation: 165-103=62, Resulting Numbers: [62] 62,97 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
[ 60, 47, 76, 70 ]
37
[ "76-70=6", "60/6=10", "47-10=37" ]
Current State: 37:[60, 47, 76, 70], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [60, 47, 6] Generated Node #2: [60, 47, 6] from Operation: 76-70=6 Current State: 37:[60, 47, 6], Operations: ['76-70=6'] Exploring Operation: 60/6=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 60/6=10 Current State: 37:[47, 10], Operations: ['76-70=6', '60/6=10'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[60, 47, 76, 70], Operations: [] Exploring Operation: 76-60=16, Resulting Numbers: [47, 70, 16] Generated Node #0,0: 37:[47, 70, 16] Operation: 76-60=16 Exploring Operation: 76-70=6, Resulting Numbers: [60, 47, 6] Generated Node #0,1: 37:[60, 47, 6] Operation: 76-70=6 Exploring Operation: 76-47=29, Resulting Numbers: [60, 70, 29] Generated Node #0,2: 37:[60, 70, 29] Operation: 76-47=29 Start Sub Search at level 1: Moving to Node #0,0 Current State: 37:[47, 70, 16], Operations: ['76-60=16'] Exploring Operation: 47-16=31, Resulting Numbers: [70, 31] Generated Node #0,0,0: 37:[70, 31] Operation: 47-16=31 Exploring Operation: 70-16=54, Resulting Numbers: [47, 54] Generated Node #0,0,1: 37:[47, 54] Operation: 70-16=54 Exploring Operation: 70-47=23, Resulting Numbers: [16, 23] Generated Node #0,0,2: 37:[16, 23] Operation: 70-47=23 Moving to Node #0,0,1 Current State: 37:[47, 54], Operations: ['76-60=16', '70-16=54'] Exploring Operation: 47*54=2538, Resulting Numbers: [2538] 2538,37 unequal: No Solution Exploring Operation: 47+54=101, Resulting Numbers: [101] 101,37 unequal: No Solution Exploring Operation: 54-47=7, Resulting Numbers: [7] 7,37 unequal: No Solution Moving to Node #0,0,2 Current State: 37:[16, 23], Operations: ['76-60=16', '70-47=23'] Exploring Operation: 16*23=368, Resulting Numbers: [368] 368,37 unequal: No Solution Exploring Operation: 16+23=39, Resulting Numbers: [39] 39,37 unequal: No Solution Exploring Operation: 23-16=7, Resulting Numbers: [7] 7,37 unequal: No Solution Moving to Node #0,0,0 Current State: 37:[70, 31], Operations: ['76-60=16', '47-16=31'] Exploring Operation: 70*31=2170, Resulting Numbers: [2170] 2170,37 unequal: No Solution Exploring Operation: 70+31=101, Resulting Numbers: [101] 101,37 unequal: No Solution Exploring Operation: 70-31=39, Resulting Numbers: [39] 39,37 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: 37:[60, 47, 6], Operations: ['76-70=6'] Exploring Operation: 60-6=54, Resulting Numbers: [47, 54] Generated Node #0,1,0: 37:[47, 54] Operation: 60-6=54 Exploring Operation: 47-6=41, Resulting Numbers: [60, 41] Generated Node #0,1,1: 37:[60, 41] Operation: 47-6=41 Exploring Operation: 60/6=10, Resulting Numbers: [47, 10] Generated Node #0,1,2: 37:[47, 10] Operation: 60/6=10 Moving to Node #0,1,0 Current State: 37:[47, 54], Operations: ['76-70=6', '60-6=54'] Exploring Operation: 47+54=101, Resulting Numbers: [101] 101,37 unequal: No Solution Exploring Operation: 54-47=7, Resulting Numbers: [7] 7,37 unequal: No Solution Exploring Operation: 47*54=2538, Resulting Numbers: [2538] 2538,37 unequal: No Solution Moving to Node #0,1,1 Current State: 37:[60, 41], Operations: ['76-70=6', '47-6=41'] Exploring Operation: 60+41=101, Resulting Numbers: [101] 101,37 unequal: No Solution Exploring Operation: 60*41=2460, Resulting Numbers: [2460] 2460,37 unequal: No Solution Exploring Operation: 60-41=19, Resulting Numbers: [19] 19,37 unequal: No Solution Moving to Node #0,1,2 Current State: 37:[47, 10], Operations: ['76-70=6', '60/6=10'] Exploring Operation: 47+10=57, Resulting Numbers: [57] 57,37 unequal: No Solution Exploring Operation: 47*10=470, Resulting Numbers: [470] 470,37 unequal: No Solution Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Moving to Node #0 Current State: 37:[60, 47, 76, 70], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [60, 47, 6] Generated Node #0,1: 37:[60, 47, 6] Operation: 76-70=6 Moving to Node #0,1 Current State: 37:[60, 47, 6], Operations: ['76-70=6'] Exploring Operation: 60/6=10, Resulting Numbers: [47, 10] Generated Node #0,1,2: 37:[47, 10] Operation: 60/6=10 Moving to Node #0,1,2 Current State: 37:[47, 10], Operations: ['76-70=6', '60/6=10'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_3
sum_heuristic
[ 89, 41, 84, 50 ]
51
[ "89-84=5", "50/5=10", "41+10=51" ]
Current State: 51:[89, 41, 84, 50], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [41, 50, 5] Generated Node #2: [41, 50, 5] from Operation: 89-84=5 Current State: 51:[41, 50, 5], Operations: ['89-84=5'] Exploring Operation: 50/5=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 50/5=10 Current State: 51:[41, 10], Operations: ['89-84=5', '50/5=10'] Exploring Operation: 41+10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[89, 41, 84, 50], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [41, 50, 5] Generated Node #0,0: 51:[41, 50, 5] Operation: 89-84=5 Exploring Operation: 84-50=34, Resulting Numbers: [89, 41, 34] Generated Node #0,1: 51:[89, 41, 34] Operation: 84-50=34 Exploring Operation: 89-50=39, Resulting Numbers: [41, 84, 39] Generated Node #0,2: 51:[41, 84, 39] Operation: 89-50=39 Exploring Operation: 84-41=43, Resulting Numbers: [89, 50, 43] Generated Node #0,3: 51:[89, 50, 43] Operation: 84-41=43 Exploring Operation: 89-41=48, Resulting Numbers: [84, 50, 48] Generated Node #0,4: 51:[84, 50, 48] Operation: 89-41=48 Moving to Node #0,0 Current State: 51:[41, 50, 5], Operations: ['89-84=5'] Exploring Operation: 50-5=45, Resulting Numbers: [41, 45] Generated Node #0,0,0: 51:[41, 45] Operation: 50-5=45 Exploring Operation: 41-5=36, Resulting Numbers: [50, 36] Generated Node #0,0,1: 51:[50, 36] Operation: 41-5=36 Exploring Operation: 50-41=9, Resulting Numbers: [5, 9] Generated Node #0,0,2: 51:[5, 9] Operation: 50-41=9 Exploring Operation: 41+5=46, Resulting Numbers: [50, 46] Generated Node #0,0,3: 51:[50, 46] Operation: 41+5=46 Exploring Operation: 50+5=55, Resulting Numbers: [41, 55] Generated Node #0,0,4: 51:[41, 55] Operation: 50+5=55 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 51:[50, 46], Operations: ['89-84=5', '41+5=46'] Exploring Operation: 50+46=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 50-46=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 50*46=2300, Resulting Numbers: [2300] 2300,51 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 #0,0,2 Current State: 51:[5, 9], Operations: ['89-84=5', '50-41=9'] Exploring Operation: 9-5=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,51 unequal: No Solution Exploring Operation: 5+9=14, Resulting Numbers: [14] 14,51 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 #0,0,4 Current State: 51:[41, 55], Operations: ['89-84=5', '50+5=55'] Exploring Operation: 41*55=2255, Resulting Numbers: [2255] 2255,51 unequal: No Solution Exploring Operation: 41+55=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 55-41=14, Resulting Numbers: [14] 14,51 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 #0,0,0 Current State: 51:[41, 45], Operations: ['89-84=5', '50-5=45'] Exploring Operation: 41*45=1845, Resulting Numbers: [1845] 1845,51 unequal: No Solution Exploring Operation: 41+45=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 45-41=4, Resulting Numbers: [4] 4,51 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 #0,0,1 Current State: 51:[50, 36], Operations: ['89-84=5', '41-5=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 50*36=1800, Resulting Numbers: [1800] 1800,51 unequal: No Solution Exploring Operation: 50-36=14, Resulting Numbers: [14] 14,51 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: 51:[84, 50, 48], Operations: ['89-41=48'] Exploring Operation: 50+48=98, Resulting Numbers: [84, 98] Generated Node #0,4,0: 51:[84, 98] Operation: 50+48=98 Exploring Operation: 84-50=34, Resulting Numbers: [48, 34] Generated Node #0,4,1: 51:[48, 34] Operation: 84-50=34 Exploring Operation: 50-48=2, Resulting Numbers: [84, 2] Generated Node #0,4,2: 51:[84, 2] Operation: 50-48=2 Exploring Operation: 84-48=36, Resulting Numbers: [50, 36] Generated Node #0,4,3: 51:[50, 36] Operation: 84-48=36 Exploring Operation: 84+48=132, Resulting Numbers: [50, 132] Generated Node #0,4,4: 51:[50, 132] Operation: 84+48=132 Moving to Node #0,3 Current State: 51:[89, 50, 43], Operations: ['84-41=43'] Exploring Operation: 50+43=93, Resulting Numbers: [89, 93] Generated Node #0,3,0: 51:[89, 93] Operation: 50+43=93 Exploring Operation: 89-50=39, Resulting Numbers: [43, 39] Generated Node #0,3,1: 51:[43, 39] Operation: 89-50=39 Exploring Operation: 89+43=132, Resulting Numbers: [50, 132] Generated Node #0,3,2: 51:[50, 132] Operation: 89+43=132 Exploring Operation: 50-43=7, Resulting Numbers: [89, 7] Generated Node #0,3,3: 51:[89, 7] Operation: 50-43=7 Exploring Operation: 89-43=46, Resulting Numbers: [50, 46] Generated Node #0,3,4: 51:[50, 46] Operation: 89-43=46 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 51:[50, 46], Operations: ['84-41=43', '89-43=46'] Exploring Operation: 50-46=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 50+46=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 50*46=2300, Resulting Numbers: [2300] 2300,51 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 #0,3,1 Current State: 51:[43, 39], Operations: ['84-41=43', '89-50=39'] Exploring Operation: 43-39=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 43*39=1677, Resulting Numbers: [1677] 1677,51 unequal: No Solution Exploring Operation: 43+39=82, Resulting Numbers: [82] 82,51 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:[89, 7], Operations: ['84-41=43', '50-43=7'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 89+7=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 89*7=623, Resulting Numbers: [623] 623,51 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:[89, 93], Operations: ['84-41=43', '50+43=93'] Exploring Operation: 89*93=8277, Resulting Numbers: [8277] 8277,51 unequal: No Solution Exploring Operation: 93-89=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 89+93=182, Resulting Numbers: [182] 182,51 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:[50, 132], Operations: ['84-41=43', '89+43=132'] Exploring Operation: 132-50=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 50*132=6600, Resulting Numbers: [6600] 6600,51 unequal: No Solution Exploring Operation: 50+132=182, Resulting Numbers: [182] 182,51 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: 51:[41, 84, 39], Operations: ['89-50=39'] Exploring Operation: 84-41=43, Resulting Numbers: [39, 43] Generated Node #0,2,0: 51:[39, 43] Operation: 84-41=43 Exploring Operation: 84+39=123, Resulting Numbers: [41, 123] Generated Node #0,2,1: 51:[41, 123] Operation: 84+39=123 Exploring Operation: 41-39=2, Resulting Numbers: [84, 2] Generated Node #0,2,2: 51:[84, 2] Operation: 41-39=2 Exploring Operation: 84-39=45, Resulting Numbers: [41, 45] Generated Node #0,2,3: 51:[41, 45] Operation: 84-39=45 Exploring Operation: 41+39=80, Resulting Numbers: [84, 80] Generated Node #0,2,4: 51:[84, 80] Operation: 41+39=80 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 51:[41, 45], Operations: ['89-50=39', '84-39=45'] Exploring Operation: 45-41=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 41+45=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 41*45=1845, Resulting Numbers: [1845] 1845,51 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:[39, 43], Operations: ['89-50=39', '84-41=43'] Exploring Operation: 43-39=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 39+43=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 39*43=1677, Resulting Numbers: [1677] 1677,51 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:[84, 2], Operations: ['89-50=39', '41-39=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,51 unequal: No Solution Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 84*2=168, Resulting Numbers: [168] 168,51 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 #0,2,4 Current State: 51:[84, 80], Operations: ['89-50=39', '41+39=80'] Exploring Operation: 84-80=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 84*80=6720, Resulting Numbers: [6720] 6720,51 unequal: No Solution Exploring Operation: 84+80=164, Resulting Numbers: [164] 164,51 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 #0,2,1 Current State: 51:[41, 123], Operations: ['89-50=39', '84+39=123'] Exploring Operation: 123-41=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 41+123=164, Resulting Numbers: [164] 164,51 unequal: No Solution Exploring Operation: 123/41=3, Resulting Numbers: [3] 3,51 unequal: No Solution Exploring Operation: 41*123=5043, Resulting Numbers: [5043] 5043,51 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:[89, 41, 34], Operations: ['84-50=34'] Exploring Operation: 41-34=7, Resulting Numbers: [89, 7] Generated Node #0,1,0: 51:[89, 7] Operation: 41-34=7 Exploring Operation: 89-41=48, Resulting Numbers: [34, 48] Generated Node #0,1,1: 51:[34, 48] Operation: 89-41=48 Exploring Operation: 41+34=75, Resulting Numbers: [89, 75] Generated Node #0,1,2: 51:[89, 75] Operation: 41+34=75 Exploring Operation: 89-34=55, Resulting Numbers: [41, 55] Generated Node #0,1,3: 51:[41, 55] Operation: 89-34=55 Exploring Operation: 89+34=123, Resulting Numbers: [41, 123] Generated Node #0,1,4: 51:[41, 123] Operation: 89+34=123 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 51:[41, 55], Operations: ['84-50=34', '89-34=55'] Exploring Operation: 41+55=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 55-41=14, Resulting Numbers: [14] 14,51 unequal: No Solution Exploring Operation: 41*55=2255, Resulting Numbers: [2255] 2255,51 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:[34, 48], Operations: ['84-50=34', '89-41=48'] Exploring Operation: 34*48=1632, Resulting Numbers: [1632] 1632,51 unequal: No Solution Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,51 unequal: No Solution Exploring Operation: 34+48=82, Resulting Numbers: [82] 82,51 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:[89, 7], Operations: ['84-50=34', '41-34=7'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 89+7=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 89*7=623, Resulting Numbers: [623] 623,51 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 #0,1,2 Current State: 51:[89, 75], Operations: ['84-50=34', '41+34=75'] Exploring Operation: 89-75=14, Resulting Numbers: [14] 14,51 unequal: No Solution Exploring Operation: 89*75=6675, Resulting Numbers: [6675] 6675,51 unequal: No Solution Exploring Operation: 89+75=164, Resulting Numbers: [164] 164,51 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 #0,1,4 Current State: 51:[41, 123], Operations: ['84-50=34', '89+34=123'] Exploring Operation: 123-41=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 123/41=3, Resulting Numbers: [3] 3,51 unequal: No Solution Exploring Operation: 41*123=5043, Resulting Numbers: [5043] 5043,51 unequal: No Solution Exploring Operation: 41+123=164, Resulting Numbers: [164] 164,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4,3 Current State: 51:[50, 36], Operations: ['89-41=48', '84-48=36'] Exploring Operation: 50-36=14, Resulting Numbers: [14] 14,51 unequal: No Solution Exploring Operation: 50*36=1800, Resulting Numbers: [1800] 1800,51 unequal: No Solution Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,51 unequal: No Solution Moving to Node #0,4,1 Current State: 51:[48, 34], Operations: ['89-41=48', '84-50=34'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,51 unequal: No Solution Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 48*34=1632, Resulting Numbers: [1632] 1632,51 unequal: No Solution Moving to Node #0,4,2 Current State: 51:[84, 2], Operations: ['89-41=48', '50-48=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,51 unequal: No Solution Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 84*2=168, Resulting Numbers: [168] 168,51 unequal: No Solution Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,51 unequal: No Solution Moving to Node #0,4,0 Current State: 51:[84, 98], Operations: ['89-41=48', '50+48=98'] Exploring Operation: 84+98=182, Resulting Numbers: [182] 182,51 unequal: No Solution Exploring Operation: 84*98=8232, Resulting Numbers: [8232] 8232,51 unequal: No Solution Exploring Operation: 98-84=14, Resulting Numbers: [14] 14,51 unequal: No Solution Moving to Node #0,4,4 Current State: 51:[50, 132], Operations: ['89-41=48', '84+48=132'] Exploring Operation: 50*132=6600, Resulting Numbers: [6600] 6600,51 unequal: No Solution Exploring Operation: 132-50=82, Resulting Numbers: [82] 82,51 unequal: No Solution Exploring Operation: 50+132=182, Resulting Numbers: [182] 182,51 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 34, 51, 27, 29 ]
17
[ "29-27=2", "34*2=68", "68-51=17" ]
Current State: 17:[34, 51, 27, 29], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [34, 51, 2] Generated Node #2: [34, 51, 2] from Operation: 29-27=2 Current State: 17:[34, 51, 2], Operations: ['29-27=2'] Exploring Operation: 34*2=68, Resulting Numbers: [51, 68] Generated Node #3: [51, 68] from Operation: 34*2=68 Current State: 17:[51, 68], Operations: ['29-27=2', '34*2=68'] Exploring Operation: 68-51=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[34, 51, 27, 29], Operations: [] Exploring Operation: 51-29=22, Resulting Numbers: [34, 27, 22] Generated Node #0,0: 17:[34, 27, 22] Operation: 51-29=22 Exploring Operation: 51-27=24, Resulting Numbers: [34, 29, 24] Generated Node #0,1: 17:[34, 29, 24] Operation: 51-27=24 Exploring Operation: 51-34=17, Resulting Numbers: [27, 29, 17] Generated Node #0,2: 17:[27, 29, 17] Operation: 51-34=17 Start Sub Search at level 1: Moving to Node #0,2 Current State: 17:[27, 29, 17], Operations: ['51-34=17'] Exploring Operation: 29-17=12, Resulting Numbers: [27, 12] Generated Node #0,2,0: 17:[27, 12] Operation: 29-17=12 Exploring Operation: 29-27=2, Resulting Numbers: [17, 2] Generated Node #0,2,1: 17:[17, 2] Operation: 29-27=2 Exploring Operation: 27-17=10, Resulting Numbers: [29, 10] Generated Node #0,2,2: 17:[29, 10] Operation: 27-17=10 Moving to Node #0,2,0 Current State: 17:[27, 12], Operations: ['51-34=17', '29-17=12'] Exploring Operation: 27*12=324, Resulting Numbers: [324] 324,17 unequal: No Solution Exploring Operation: 27+12=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,17 unequal: No Solution Moving to Node #0,2,1 Current State: 17:[17, 2], Operations: ['51-34=17', '29-27=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,17 unequal: No Solution Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,17 unequal: No Solution Moving to Node #0,2,2 Current State: 17:[29, 10], Operations: ['51-34=17', '27-17=10'] Exploring Operation: 29*10=290, Resulting Numbers: [290] 290,17 unequal: No Solution Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,17 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 #0,0 Current State: 17:[34, 27, 22], Operations: ['51-29=22'] Exploring Operation: 34-22=12, Resulting Numbers: [27, 12] Generated Node #0,0,0: 17:[27, 12] Operation: 34-22=12 Exploring Operation: 34-27=7, Resulting Numbers: [22, 7] Generated Node #0,0,1: 17:[22, 7] Operation: 34-27=7 Exploring Operation: 27-22=5, Resulting Numbers: [34, 5] Generated Node #0,0,2: 17:[34, 5] Operation: 27-22=5 Moving to Node #0,0,0 Current State: 17:[27, 12], Operations: ['51-29=22', '34-22=12'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 27+12=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 27*12=324, Resulting Numbers: [324] 324,17 unequal: No Solution Moving to Node #0,0,1 Current State: 17:[22, 7], Operations: ['51-29=22', '34-27=7'] Exploring Operation: 22*7=154, Resulting Numbers: [154] 154,17 unequal: No Solution Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,17 unequal: No Solution Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,17 unequal: No Solution Moving to Node #0,0,2 Current State: 17:[34, 5], Operations: ['51-29=22', '27-22=5'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,17 unequal: No Solution Exploring Operation: 34*5=170, Resulting Numbers: [170] 170,17 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 #0,1 Current State: 17:[34, 29, 24], Operations: ['51-27=24'] Exploring Operation: 34-29=5, Resulting Numbers: [24, 5] Generated Node #0,1,0: 17:[24, 5] Operation: 34-29=5 Exploring Operation: 34-24=10, Resulting Numbers: [29, 10] Generated Node #0,1,1: 17:[29, 10] Operation: 34-24=10 Exploring Operation: 29-24=5, Resulting Numbers: [34, 5] Generated Node #0,1,2: 17:[34, 5] Operation: 29-24=5 Moving to Node #0,1,0 Current State: 17:[24, 5], Operations: ['51-27=24', '34-29=5'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,17 unequal: No Solution Exploring Operation: 24*5=120, Resulting Numbers: [120] 120,17 unequal: No Solution Exploring Operation: 24+5=29, Resulting Numbers: [29] 29,17 unequal: No Solution Moving to Node #0,1,1 Current State: 17:[29, 10], Operations: ['51-27=24', '34-24=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,17 unequal: No Solution Exploring Operation: 29*10=290, Resulting Numbers: [290] 290,17 unequal: No Solution Moving to Node #0,1,2 Current State: 17:[34, 5], Operations: ['51-27=24', '29-24=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,17 unequal: No Solution Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 34*5=170, Resulting Numbers: [170] 170,17 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
[ 17, 71, 86, 93 ]
47
[ "71-17=54", "93-86=7", "54-7=47" ]
Current State: 47:[17, 71, 86, 93], Operations: [] Exploring Operation: 71-17=54, Resulting Numbers: [86, 93, 54] Generated Node #2: [86, 93, 54] from Operation: 71-17=54 Current State: 47:[86, 93, 54], Operations: ['71-17=54'] Exploring Operation: 93-86=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 93-86=7 Current State: 47:[54, 7], Operations: ['71-17=54', '93-86=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[17, 71, 86, 93], Operations: [] Exploring Operation: 86-17=69, Resulting Numbers: [71, 93, 69] Generated Node #0,0: 47:[71, 93, 69] Operation: 86-17=69 Exploring Operation: 93-71=22, Resulting Numbers: [17, 86, 22] Generated Node #0,1: 47:[17, 86, 22] Operation: 93-71=22 Exploring Operation: 71-17=54, Resulting Numbers: [86, 93, 54] Generated Node #0,2: 47:[86, 93, 54] Operation: 71-17=54 Exploring Operation: 93-17=76, Resulting Numbers: [71, 86, 76] Generated Node #0,3: 47:[71, 86, 76] Operation: 93-17=76 Moving to Node #0,0 Current State: 47:[71, 93, 69], Operations: ['86-17=69'] Exploring Operation: 71+93=164, Resulting Numbers: [69, 164] Generated Node #0,0,0: 47:[69, 164] Operation: 71+93=164 Exploring Operation: 93-71=22, Resulting Numbers: [69, 22] Generated Node #0,0,1: 47:[69, 22] Operation: 93-71=22 Exploring Operation: 71-69=2, Resulting Numbers: [93, 2] Generated Node #0,0,2: 47:[93, 2] Operation: 71-69=2 Exploring Operation: 93-69=24, Resulting Numbers: [71, 24] Generated Node #0,0,3: 47:[71, 24] Operation: 93-69=24 Moving to Node #0,3 Current State: 47:[71, 86, 76], Operations: ['93-17=76'] Exploring Operation: 76-71=5, Resulting Numbers: [86, 5] Generated Node #0,3,0: 47:[86, 5] Operation: 76-71=5 Exploring Operation: 71+86=157, Resulting Numbers: [76, 157] Generated Node #0,3,1: 47:[76, 157] Operation: 71+86=157 Exploring Operation: 86-76=10, Resulting Numbers: [71, 10] Generated Node #0,3,2: 47:[71, 10] Operation: 86-76=10 Exploring Operation: 86-71=15, Resulting Numbers: [76, 15] Generated Node #0,3,3: 47:[76, 15] Operation: 86-71=15 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 47:[71, 10], Operations: ['93-17=76', '86-76=10'] Exploring Operation: 71+10=81, Resulting Numbers: [81] 81,47 unequal: No Solution Exploring Operation: 71*10=710, Resulting Numbers: [710] 710,47 unequal: No Solution Exploring Operation: 71-10=61, Resulting Numbers: [61] 61,47 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: 47:[76, 15], Operations: ['93-17=76', '86-71=15'] Exploring Operation: 76*15=1140, Resulting Numbers: [1140] 1140,47 unequal: No Solution Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,47 unequal: No Solution Exploring Operation: 76+15=91, Resulting Numbers: [91] 91,47 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: 47:[86, 5], Operations: ['93-17=76', '76-71=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,47 unequal: No Solution Exploring Operation: 86*5=430, Resulting Numbers: [430] 430,47 unequal: No Solution Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,47 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: 47:[76, 157], Operations: ['93-17=76', '71+86=157'] Exploring Operation: 76+157=233, Resulting Numbers: [233] 233,47 unequal: No Solution Exploring Operation: 157-76=81, Resulting Numbers: [81] 81,47 unequal: No Solution Exploring Operation: 76*157=11932, Resulting Numbers: [11932] 11932,47 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: 47:[86, 93, 54], Operations: ['71-17=54'] Exploring Operation: 93-54=39, Resulting Numbers: [86, 39] Generated Node #0,2,0: 47:[86, 39] Operation: 93-54=39 Exploring Operation: 93-86=7, Resulting Numbers: [54, 7] Generated Node #0,2,1: 47:[54, 7] Operation: 93-86=7 Exploring Operation: 86-54=32, Resulting Numbers: [93, 32] Generated Node #0,2,2: 47:[93, 32] Operation: 86-54=32 Exploring Operation: 86+93=179, Resulting Numbers: [54, 179] Generated Node #0,2,3: 47:[54, 179] Operation: 86+93=179 Moving to Node #0,1 Current State: 47:[17, 86, 22], Operations: ['93-71=22'] Exploring Operation: 17+86=103, Resulting Numbers: [22, 103] Generated Node #0,1,0: 47:[22, 103] Operation: 17+86=103 Exploring Operation: 86-17=69, Resulting Numbers: [22, 69] Generated Node #0,1,1: 47:[22, 69] Operation: 86-17=69 Exploring Operation: 86-22=64, Resulting Numbers: [17, 64] Generated Node #0,1,2: 47:[17, 64] Operation: 86-22=64 Exploring Operation: 17+22=39, Resulting Numbers: [86, 39] Generated Node #0,1,3: 47:[86, 39] Operation: 17+22=39 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 47:[22, 69], Operations: ['93-71=22', '86-17=69'] Exploring Operation: 22+69=91, Resulting Numbers: [91] 91,47 unequal: No Solution Exploring Operation: 22*69=1518, Resulting Numbers: [1518] 1518,47 unequal: No Solution Exploring Operation: 69-22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached Moving to Node #0 Current State: 47:[17, 71, 86, 93], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [17, 86, 22] Generated Node #0,1: 47:[17, 86, 22] Operation: 93-71=22 Moving to Node #0,1 Current State: 47:[17, 86, 22], Operations: ['93-71=22'] Exploring Operation: 86-17=69, Resulting Numbers: [22, 69] Generated Node #0,1,1: 47:[22, 69] Operation: 86-17=69 Moving to Node #0,1,1 Current State: 47:[22, 69], Operations: ['93-71=22', '86-17=69'] Exploring Operation: 69-22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached Exit Sub Search at level 1
0.966146
hs_4
sum_heuristic
[ 99, 33, 53, 47 ]
99
[ "53-47=6", "33*6=198", "198-99=99" ]
Current State: 99:[99, 33, 53, 47], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [99, 33, 6] Generated Node #2: [99, 33, 6] from Operation: 53-47=6 Current State: 99:[99, 33, 6], Operations: ['53-47=6'] Exploring Operation: 33*6=198, Resulting Numbers: [99, 198] Generated Node #3: [99, 198] from Operation: 33*6=198 Current State: 99:[99, 198], Operations: ['53-47=6', '33*6=198'] Exploring Operation: 198-99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[99, 33, 53, 47], Operations: [] Exploring Operation: 53+47=100, Resulting Numbers: [99, 33, 100] Generated Node #0,0: 99:[99, 33, 100] Operation: 53+47=100 Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[99, 33, 100], Operations: ['53+47=100'] Exploring Operation: 99/33=3, Resulting Numbers: [100, 3] Generated Node #0,0,0: 99:[100, 3] Operation: 99/33=3 Moving to Node #0,0,0 Current State: 99:[100, 3], Operations: ['53+47=100', '99/33=3'] Exploring Operation: 100-3=97, Resulting Numbers: [97] 97,99 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
[ 7, 14, 15, 10 ]
52
[ "7*14=98", "15*10=150", "150-98=52" ]
Current State: 52:[7, 14, 15, 10], Operations: [] Exploring Operation: 7*14=98, Resulting Numbers: [15, 10, 98] Generated Node #2: [15, 10, 98] from Operation: 7*14=98 Current State: 52:[15, 10, 98], Operations: ['7*14=98'] Exploring Operation: 15*10=150, Resulting Numbers: [98, 150] Generated Node #3: [98, 150] from Operation: 15*10=150 Current State: 52:[98, 150], Operations: ['7*14=98', '15*10=150'] Exploring Operation: 150-98=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[7, 14, 15, 10], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [15, 10, 2] Generated Node #0,0: 52:[15, 10, 2] Operation: 14/7=2 Exploring Operation: 15-10=5, Resulting Numbers: [7, 14, 5] Generated Node #0,1: 52:[7, 14, 5] Operation: 15-10=5 Exploring Operation: 14-10=4, Resulting Numbers: [7, 15, 4] Generated Node #0,2: 52:[7, 15, 4] Operation: 14-10=4 Exploring Operation: 10-7=3, Resulting Numbers: [14, 15, 3] Generated Node #0,3: 52:[14, 15, 3] Operation: 10-7=3 Exploring Operation: 15+10=25, Resulting Numbers: [7, 14, 25] Generated Node #0,4: 52:[7, 14, 25] Operation: 15+10=25 Moving to Node #0,3 Current State: 52:[14, 15, 3], Operations: ['10-7=3'] Exploring Operation: 15-14=1, Resulting Numbers: [3, 1] Generated Node #0,3,0: 52:[3, 1] Operation: 15-14=1 Exploring Operation: 15-3=12, Resulting Numbers: [14, 12] Generated Node #0,3,1: 52:[14, 12] Operation: 15-3=12 Exploring Operation: 14-3=11, Resulting Numbers: [15, 11] Generated Node #0,3,2: 52:[15, 11] Operation: 14-3=11 Exploring Operation: 15/3=5, Resulting Numbers: [14, 5] Generated Node #0,3,3: 52:[14, 5] Operation: 15/3=5 Exploring Operation: 14+15=29, Resulting Numbers: [3, 29] Generated Node #0,3,4: 52:[3, 29] Operation: 14+15=29 Moving to Node #0,1 Current State: 52:[7, 14, 5], Operations: ['15-10=5'] Exploring Operation: 7+5=12, Resulting Numbers: [14, 12] Generated Node #0,1,0: 52:[14, 12] Operation: 7+5=12 Exploring Operation: 7+14=21, Resulting Numbers: [5, 21] Generated Node #0,1,1: 52:[5, 21] Operation: 7+14=21 Exploring Operation: 14-7=7, Resulting Numbers: [5, 7] Generated Node #0,1,2: 52:[5, 7] Operation: 14-7=7 Exploring Operation: 7-5=2, Resulting Numbers: [14, 2] Generated Node #0,1,3: 52:[14, 2] Operation: 7-5=2 Exploring Operation: 14/7=2, Resulting Numbers: [5, 2] Generated Node #0,1,4: 52:[5, 2] Operation: 14/7=2 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 52:[14, 2], Operations: ['15-10=5', '7-5=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,52 unequal: No Solution Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,52 unequal: No Solution Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,52 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: 52:[5, 2], Operations: ['15-10=5', '14/7=2'] Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 5+2=7, Resulting Numbers: [7] 7,52 unequal: No Solution Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,52 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: 52:[14, 12], Operations: ['15-10=5', '7+5=12'] Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 14*12=168, Resulting Numbers: [168] 168,52 unequal: No Solution Exploring Operation: 14-12=2, Resulting Numbers: [2] 2,52 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: 52:[5, 7], Operations: ['15-10=5', '14-7=7'] Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 5*7=35, Resulting Numbers: [35] 35,52 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: 52:[5, 21], Operations: ['15-10=5', '7+14=21'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,52 unequal: No Solution Exploring Operation: 5+21=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 5*21=105, Resulting Numbers: [105] 105,52 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: 52:[7, 14, 25], Operations: ['15+10=25'] Exploring Operation: 25-7=18, Resulting Numbers: [14, 18] Generated Node #0,4,0: 52:[14, 18] Operation: 25-7=18 Exploring Operation: 25-14=11, Resulting Numbers: [7, 11] Generated Node #0,4,1: 52:[7, 11] Operation: 25-14=11 Exploring Operation: 14-7=7, Resulting Numbers: [25, 7] Generated Node #0,4,2: 52:[25, 7] Operation: 14-7=7 Exploring Operation: 14/7=2, Resulting Numbers: [25, 2] Generated Node #0,4,3: 52:[25, 2] Operation: 14/7=2 Exploring Operation: 7+14=21, Resulting Numbers: [25, 21] Generated Node #0,4,4: 52:[25, 21] Operation: 7+14=21 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 52:[25, 2], Operations: ['15+10=25', '14/7=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,52 unequal: No Solution Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,52 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,52 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: 52:[25, 7], Operations: ['15+10=25', '14-7=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,52 unequal: No Solution Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,52 unequal: No Solution Exploring Operation: 25*7=175, Resulting Numbers: [175] 175,52 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: 52:[7, 11], Operations: ['15+10=25', '25-14=11'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,52 unequal: No Solution Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,52 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: 52:[14, 18], Operations: ['15+10=25', '25-7=18'] Exploring Operation: 18-14=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 14*18=252, Resulting Numbers: [252] 252,52 unequal: No Solution Exploring Operation: 14+18=32, Resulting Numbers: [32] 32,52 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: 52:[25, 21], Operations: ['15+10=25', '7+14=21'] Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,52 unequal: No Solution Exploring Operation: 25*21=525, Resulting Numbers: [525] 525,52 unequal: No Solution Exploring Operation: 25-21=4, Resulting Numbers: [4] 4,52 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: 52:[15, 10, 2], Operations: ['14/7=2'] Exploring Operation: 15-10=5, Resulting Numbers: [2, 5] Generated Node #0,0,0: 52:[2, 5] Operation: 15-10=5 Exploring Operation: 15-2=13, Resulting Numbers: [10, 13] Generated Node #0,0,1: 52:[10, 13] Operation: 15-2=13 Exploring Operation: 10+2=12, Resulting Numbers: [15, 12] Generated Node #0,0,2: 52:[15, 12] Operation: 10+2=12 Exploring Operation: 10/2=5, Resulting Numbers: [15, 5] Generated Node #0,0,3: 52:[15, 5] Operation: 10/2=5 Exploring Operation: 15+10=25, Resulting Numbers: [2, 25] Generated Node #0,0,4: 52:[2, 25] Operation: 15+10=25 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[2, 5], Operations: ['14/7=2', '15-10=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,52 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 2+5=7, Resulting Numbers: [7] 7,52 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: 52:[2, 25], Operations: ['14/7=2', '15+10=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,52 unequal: No Solution Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,52 unequal: No Solution Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,52 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: 52:[10, 13], Operations: ['14/7=2', '15-2=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,52 unequal: No Solution Exploring Operation: 10*13=130, Resulting Numbers: [130] 130,52 unequal: No Solution Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,52 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: 52:[15, 12], Operations: ['14/7=2', '10+2=12'] Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,52 unequal: No Solution Exploring Operation: 15-12=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 15*12=180, Resulting Numbers: [180] 180,52 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: 52:[15, 5], Operations: ['14/7=2', '10/2=5'] Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,52 unequal: No Solution Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,52 unequal: No Solution Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,52 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: 52:[7, 15, 4], Operations: ['14-10=4'] Exploring Operation: 15-7=8, Resulting Numbers: [4, 8] Generated Node #0,2,0: 52:[4, 8] Operation: 15-7=8 Exploring Operation: 7+4=11, Resulting Numbers: [15, 11] Generated Node #0,2,1: 52:[15, 11] Operation: 7+4=11 Exploring Operation: 7-4=3, Resulting Numbers: [15, 3] Generated Node #0,2,2: 52:[15, 3] Operation: 7-4=3 Exploring Operation: 7+15=22, Resulting Numbers: [4, 22] Generated Node #0,2,3: 52:[4, 22] Operation: 7+15=22 Exploring Operation: 7*4=28, Resulting Numbers: [15, 28] Generated Node #0,2,4: 52:[15, 28] Operation: 7*4=28 Moving to Node #0,3,0 Current State: 52:[3, 1], Operations: ['10-7=3', '15-14=1'] Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[14, 5], Operations: ['10-7=3', '15/3=5'] Exploring Operation: 14-5=9, Resulting Numbers: [9] 9,52 unequal: No Solution Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,52 unequal: No Solution Exploring Operation: 14+5=19, Resulting Numbers: [19] 19,52 unequal: No Solution Moving to Node #0,3,1 Current State: 52:[14, 12], Operations: ['10-7=3', '15-3=12'] Exploring Operation: 14*12=168, Resulting Numbers: [168] 168,52 unequal: No Solution Exploring Operation: 14-12=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,52 unequal: No Solution Moving to Node #0,2,2 Current State: 52:[15, 3], Operations: ['14-10=4', '7-4=3'] Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,52 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 15+3=18, Resulting Numbers: [18] 18,52 unequal: No Solution Moving to Node #0,2,0 Current State: 52:[4, 8], Operations: ['14-10=4', '15-7=8'] Exploring Operation: 8-4=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 8/4=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 4+8=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,52 unequal: No Solution Moving to Node #0,2,4 Current State: 52:[15, 28], Operations: ['14-10=4', '7*4=28'] Exploring Operation: 15*28=420, Resulting Numbers: [420] 420,52 unequal: No Solution Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 15+28=43, Resulting Numbers: [43] 43,52 unequal: No Solution Moving to Node #0,2,1 Current State: 52:[15, 11], Operations: ['14-10=4', '7+4=11'] Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 15*11=165, Resulting Numbers: [165] 165,52 unequal: No Solution Moving to Node #0,2,3 Current State: 52:[4, 22], Operations: ['14-10=4', '7+15=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,52 unequal: No Solution Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,52 unequal: No Solution Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[3, 29], Operations: ['10-7=3', '14+15=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,52 unequal: No Solution Exploring Operation: 3+29=32, Resulting Numbers: [32] 32,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[15, 11], Operations: ['10-7=3', '14-3=11'] Exploring Operation: 15*11=165, Resulting Numbers: [165] 165,52 unequal: No Solution Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,52 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 88, 95, 46, 17 ]
36
[ "95-88=7", "46-17=29", "7+29=36" ]
Current State: 36:[88, 95, 46, 17], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [46, 17, 7] Generated Node #2: [46, 17, 7] from Operation: 95-88=7 Current State: 36:[46, 17, 7], Operations: ['95-88=7'] Exploring Operation: 46-17=29, Resulting Numbers: [7, 29] Generated Node #3: [7, 29] from Operation: 46-17=29 Current State: 36:[7, 29], Operations: ['95-88=7', '46-17=29'] Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[88, 95, 46, 17], Operations: [] Exploring Operation: 88-17=71, Resulting Numbers: [95, 46, 71] Generated Node #0,0: 36:[95, 46, 71] Operation: 88-17=71 Exploring Operation: 95-88=7, Resulting Numbers: [46, 17, 7] Generated Node #0,1: 36:[46, 17, 7] Operation: 95-88=7 Exploring Operation: 88-46=42, Resulting Numbers: [95, 17, 42] Generated Node #0,2: 36:[95, 17, 42] Operation: 88-46=42 Exploring Operation: 95-46=49, Resulting Numbers: [88, 17, 49] Generated Node #0,3: 36:[88, 17, 49] Operation: 95-46=49 Moving to Node #0,1 Current State: 36:[46, 17, 7], Operations: ['95-88=7'] Exploring Operation: 46-7=39, Resulting Numbers: [17, 39] Generated Node #0,1,0: 36:[17, 39] Operation: 46-7=39 Exploring Operation: 46-17=29, Resulting Numbers: [7, 29] Generated Node #0,1,1: 36:[7, 29] Operation: 46-17=29 Exploring Operation: 17-7=10, Resulting Numbers: [46, 10] Generated Node #0,1,2: 36:[46, 10] Operation: 17-7=10 Exploring Operation: 17+7=24, Resulting Numbers: [46, 24] Generated Node #0,1,3: 36:[46, 24] Operation: 17+7=24 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 36:[17, 39], Operations: ['95-88=7', '46-7=39'] Exploring Operation: 17*39=663, Resulting Numbers: [663] 663,36 unequal: No Solution Exploring Operation: 17+39=56, Resulting Numbers: [56] 56,36 unequal: No Solution Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,36 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: 36:[7, 29], Operations: ['95-88=7', '46-17=29'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,36 unequal: No Solution Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[88, 95, 46, 17], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [46, 17, 7] Generated Node #0,1: 36:[46, 17, 7] Operation: 95-88=7 Moving to Node #0,1 Current State: 36:[46, 17, 7], Operations: ['95-88=7'] Exploring Operation: 46-17=29, Resulting Numbers: [7, 29] Generated Node #0,1,1: 36:[7, 29] Operation: 46-17=29 Moving to Node #0,1,1 Current State: 36:[7, 29], Operations: ['95-88=7', '46-17=29'] Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
mult_heuristic
[ 73, 89, 79, 71 ]
24
[ "89-73=16", "79-71=8", "16+8=24" ]
Current State: 24:[73, 89, 79, 71], Operations: [] Exploring Operation: 89-73=16, Resulting Numbers: [79, 71, 16] Generated Node #2: [79, 71, 16] from Operation: 89-73=16 Current State: 24:[79, 71, 16], Operations: ['89-73=16'] Exploring Operation: 79-71=8, Resulting Numbers: [16, 8] Generated Node #3: [16, 8] from Operation: 79-71=8 Current State: 24:[16, 8], Operations: ['89-73=16', '79-71=8'] Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[73, 89, 79, 71], Operations: [] Exploring Operation: 89-79=10, Resulting Numbers: [73, 71, 10] Generated Node #0,0: 24:[73, 71, 10] Operation: 89-79=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[73, 71, 10], Operations: ['89-79=10'] Exploring Operation: 73-71=2, Resulting Numbers: [10, 2] Generated Node #0,0,0: 24:[10, 2] Operation: 73-71=2 Moving to Node #0,0,0 Current State: 24:[10, 2], Operations: ['89-79=10', '73-71=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 24, 22, 72, 58 ]
77
[ "72/24=3", "22+58=80", "80-3=77" ]
Current State: 77:[24, 22, 72, 58], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [22, 58, 3] Generated Node #2: [22, 58, 3] from Operation: 72/24=3 Current State: 77:[22, 58, 3], Operations: ['72/24=3'] Exploring Operation: 22+58=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 22+58=80 Current State: 77:[3, 80], Operations: ['72/24=3', '22+58=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[24, 22, 72, 58], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [72, 58, 2] Generated Node #0,0: 77:[72, 58, 2] Operation: 24-22=2 Exploring Operation: 22+58=80, Resulting Numbers: [24, 72, 80] Generated Node #0,1: 77:[24, 72, 80] Operation: 22+58=80 Exploring Operation: 72-58=14, Resulting Numbers: [24, 22, 14] Generated Node #0,2: 77:[24, 22, 14] Operation: 72-58=14 Exploring Operation: 24+58=82, Resulting Numbers: [22, 72, 82] Generated Node #0,3: 77:[22, 72, 82] Operation: 24+58=82 Start Sub Search at level 1: Moving to Node #0,1 Current State: 77:[24, 72, 80], Operations: ['22+58=80'] Exploring Operation: 72/24=3, Resulting Numbers: [80, 3] Generated Node #0,1,0: 77:[80, 3] Operation: 72/24=3 Exploring Operation: 80-72=8, Resulting Numbers: [24, 8] Generated Node #0,1,1: 77:[24, 8] Operation: 80-72=8 Exploring Operation: 80-24=56, Resulting Numbers: [72, 56] Generated Node #0,1,2: 77:[72, 56] Operation: 80-24=56 Exploring Operation: 24+72=96, Resulting Numbers: [80, 96] Generated Node #0,1,3: 77:[80, 96] Operation: 24+72=96 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 77:[80, 3], Operations: ['22+58=80', '72/24=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,77 unequal: No Solution Exploring Operation: 80*3=240, Resulting Numbers: [240] 240,77 unequal: No Solution Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[24, 22, 72, 58], Operations: [] Exploring Operation: 22+58=80, Resulting Numbers: [24, 72, 80] Generated Node #0,1: 77:[24, 72, 80] Operation: 22+58=80 Moving to Node #0,1 Current State: 77:[24, 72, 80], Operations: ['22+58=80'] Exploring Operation: 72/24=3, Resulting Numbers: [80, 3] Generated Node #0,1,0: 77:[80, 3] Operation: 72/24=3 Moving to Node #0,1,0 Current State: 77:[80, 3], Operations: ['22+58=80', '72/24=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 27, 18, 45, 69 ]
91
[ "18*69=1242", "1242/27=46", "45+46=91" ]
Current State: 91:[27, 18, 45, 69], Operations: [] Exploring Operation: 18*69=1242, Resulting Numbers: [27, 45, 1242] Generated Node #2: [27, 45, 1242] from Operation: 18*69=1242 Current State: 91:[27, 45, 1242], Operations: ['18*69=1242'] Exploring Operation: 1242/27=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 1242/27=46 Current State: 91:[45, 46], Operations: ['18*69=1242', '1242/27=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[27, 18, 45, 69], Operations: [] Exploring Operation: 45-27=18, Resulting Numbers: [18, 69, 18] Generated Node #0,0: 91:[18, 69, 18] Operation: 45-27=18 Exploring Operation: 69-45=24, Resulting Numbers: [27, 18, 24] Generated Node #0,1: 91:[27, 18, 24] Operation: 69-45=24 Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[27, 18, 24], Operations: ['69-45=24'] Exploring Operation: 27-24=3, Resulting Numbers: [18, 3] Generated Node #0,1,0: 91:[18, 3] Operation: 27-24=3 Exploring Operation: 27-18=9, Resulting Numbers: [24, 9] Generated Node #0,1,1: 91:[24, 9] Operation: 27-18=9 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 91:[18, 3], Operations: ['69-45=24', '27-24=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,91 unequal: No Solution Exploring Operation: 18/3=6, Resulting Numbers: [6] 6,91 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: 91:[24, 9], Operations: ['69-45=24', '27-18=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,91 unequal: No Solution Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,91 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: 91:[18, 69, 18], Operations: ['45-27=18'] Exploring Operation: 69+18=87, Resulting Numbers: [18, 87] Generated Node #0,0,0: 91:[18, 87] Operation: 69+18=87 Exploring Operation: 18+69=87, Resulting Numbers: [18, 87] Generated Node #0,0,1: 91:[18, 87] Operation: 18+69=87 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 91:[18, 87], Operations: ['45-27=18', '69+18=87'] Exploring Operation: 18+87=105, Resulting Numbers: [105] 105,91 unequal: No Solution Exploring Operation: 87-18=69, Resulting Numbers: [69] 69,91 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: 91:[18, 87], Operations: ['45-27=18', '18+69=87'] Exploring Operation: 18+87=105, Resulting Numbers: [105] 105,91 unequal: No Solution Exploring Operation: 87-18=69, Resulting Numbers: [69] 69,91 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
[ 2, 6, 66, 24 ]
35
[ "24/6=4", "66+4=70", "70/2=35" ]
Current State: 35:[2, 6, 66, 24], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [2, 66, 4] Generated Node #2: [2, 66, 4] from Operation: 24/6=4 Current State: 35:[2, 66, 4], Operations: ['24/6=4'] Exploring Operation: 66+4=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 66+4=70 Current State: 35:[2, 70], Operations: ['24/6=4', '66+4=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[2, 6, 66, 24], Operations: [] Exploring Operation: 66/2=33, Resulting Numbers: [6, 24, 33] Generated Node #0,0: 35:[6, 24, 33] Operation: 66/2=33 Exploring Operation: 24/6=4, Resulting Numbers: [2, 66, 4] Generated Node #0,1: 35:[2, 66, 4] Operation: 24/6=4 Exploring Operation: 24/2=12, Resulting Numbers: [6, 66, 12] Generated Node #0,2: 35:[6, 66, 12] Operation: 24/2=12 Exploring Operation: 66-24=42, Resulting Numbers: [2, 6, 42] Generated Node #0,3: 35:[2, 6, 42] Operation: 66-24=42 Exploring Operation: 66/6=11, Resulting Numbers: [2, 24, 11] Generated Node #0,4: 35:[2, 24, 11] Operation: 66/6=11 Start Sub Search at level 1: Moving to Node #0,3 Current State: 35:[2, 6, 42], Operations: ['66-24=42'] Exploring Operation: 6-2=4, Resulting Numbers: [42, 4] Generated Node #0,3,0: 35:[42, 4] Operation: 6-2=4 Exploring Operation: 2+6=8, Resulting Numbers: [42, 8] Generated Node #0,3,1: 35:[42, 8] Operation: 2+6=8 Exploring Operation: 42-2=40, Resulting Numbers: [6, 40] Generated Node #0,3,2: 35:[6, 40] Operation: 42-2=40 Exploring Operation: 42/6=7, Resulting Numbers: [2, 7] Generated Node #0,3,3: 35:[2, 7] Operation: 42/6=7 Exploring Operation: 42-6=36, Resulting Numbers: [2, 36] Generated Node #0,3,4: 35:[2, 36] Operation: 42-6=36 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 35:[2, 7], Operations: ['66-24=42', '42/6=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,35 unequal: No Solution Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,35 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 #0,3,4 Current State: 35:[2, 36], Operations: ['66-24=42', '42-6=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,35 unequal: No Solution Exploring Operation: 2+36=38, Resulting Numbers: [38] 38,35 unequal: No Solution Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,35 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 #0,3,2 Current State: 35:[6, 40], Operations: ['66-24=42', '42-2=40'] Exploring Operation: 6*40=240, Resulting Numbers: [240] 240,35 unequal: No Solution Exploring Operation: 6+40=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,35 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 #0,3,0 Current State: 35:[42, 4], Operations: ['66-24=42', '6-2=4'] Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,35 unequal: No Solution Exploring Operation: 42*4=168, Resulting Numbers: [168] 168,35 unequal: No Solution Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,35 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 #0,3,1 Current State: 35:[42, 8], Operations: ['66-24=42', '2+6=8'] Exploring Operation: 42*8=336, Resulting Numbers: [336] 336,35 unequal: No Solution Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,35 unequal: No Solution Exploring Operation: 42+8=50, Resulting Numbers: [50] 50,35 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 #0,0 Current State: 35:[6, 24, 33], Operations: ['66/2=33'] Exploring Operation: 24/6=4, Resulting Numbers: [33, 4] Generated Node #0,0,0: 35:[33, 4] Operation: 24/6=4 Exploring Operation: 6+33=39, Resulting Numbers: [24, 39] Generated Node #0,0,1: 35:[24, 39] Operation: 6+33=39 Exploring Operation: 24-6=18, Resulting Numbers: [33, 18] Generated Node #0,0,2: 35:[33, 18] Operation: 24-6=18 Exploring Operation: 6+24=30, Resulting Numbers: [33, 30] Generated Node #0,0,3: 35:[33, 30] Operation: 6+24=30 Exploring Operation: 33-24=9, Resulting Numbers: [6, 9] Generated Node #0,0,4: 35:[6, 9] Operation: 33-24=9 Moving to Node #0,0,0 Current State: 35:[33, 4], Operations: ['66/2=33', '24/6=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 33*4=132, Resulting Numbers: [132] 132,35 unequal: No Solution Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,35 unequal: No Solution Moving to Node #0,0,4 Current State: 35:[6, 9], Operations: ['66/2=33', '33-24=9'] Exploring Operation: 6+9=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 9-6=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[33, 30], Operations: ['66/2=33', '6+24=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 33*30=990, Resulting Numbers: [990] 990,35 unequal: No Solution Exploring Operation: 33-30=3, Resulting Numbers: [3] 3,35 unequal: No Solution Moving to Node #0,0,2 Current State: 35:[33, 18], Operations: ['66/2=33', '24-6=18'] Exploring Operation: 33+18=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 33*18=594, Resulting Numbers: [594] 594,35 unequal: No Solution Exploring Operation: 33-18=15, Resulting Numbers: [15] 15,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[24, 39], Operations: ['66/2=33', '6+33=39'] Exploring Operation: 24+39=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 24*39=936, Resulting Numbers: [936] 936,35 unequal: No Solution Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,35 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: 35:[2, 24, 11], Operations: ['66/6=11'] Exploring Operation: 24+11=35, Resulting Numbers: [2, 35] Generated Node #0,4,0: 35:[2, 35] Operation: 24+11=35 Exploring Operation: 24/2=12, Resulting Numbers: [11, 12] Generated Node #0,4,1: 35:[11, 12] Operation: 24/2=12 Exploring Operation: 2+24=26, Resulting Numbers: [11, 26] Generated Node #0,4,2: 35:[11, 26] Operation: 2+24=26 Exploring Operation: 24-11=13, Resulting Numbers: [2, 13] Generated Node #0,4,3: 35:[2, 13] Operation: 24-11=13 Exploring Operation: 11-2=9, Resulting Numbers: [24, 9] Generated Node #0,4,4: 35:[24, 9] Operation: 11-2=9 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 35:[2, 35], Operations: ['66/6=11', '24+11=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,35 unequal: No Solution Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,35 unequal: No Solution Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,35 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 #0,4,1 Current State: 35:[11, 12], Operations: ['66/6=11', '24/2=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,35 unequal: No Solution Exploring Operation: 11*12=132, Resulting Numbers: [132] 132,35 unequal: No Solution Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,35 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 #0,4,3 Current State: 35:[2, 13], Operations: ['66/6=11', '24-11=13'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,35 unequal: No Solution Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,35 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 #0,4,2 Current State: 35:[11, 26], Operations: ['66/6=11', '2+24=26'] Exploring Operation: 11*26=286, Resulting Numbers: [286] 286,35 unequal: No Solution Exploring Operation: 26-11=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 11+26=37, Resulting Numbers: [37] 37,35 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 #0,4,4 Current State: 35:[24, 9], Operations: ['66/6=11', '11-2=9'] Exploring Operation: 24*9=216, Resulting Numbers: [216] 216,35 unequal: No Solution Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,35 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 #0,1 Current State: 35:[2, 66, 4], Operations: ['24/6=4'] Exploring Operation: 2*4=8, Resulting Numbers: [66, 8] Generated Node #0,1,0: 35:[66, 8] Operation: 2*4=8 Exploring Operation: 66-2=64, Resulting Numbers: [4, 64] Generated Node #0,1,1: 35:[4, 64] Operation: 66-2=64 Exploring Operation: 66-4=62, Resulting Numbers: [2, 62] Generated Node #0,1,2: 35:[2, 62] Operation: 66-4=62 Exploring Operation: 2+4=6, Resulting Numbers: [66, 6] Generated Node #0,1,3: 35:[66, 6] Operation: 2+4=6 Exploring Operation: 66/2=33, Resulting Numbers: [4, 33] Generated Node #0,1,4: 35:[4, 33] Operation: 66/2=33 Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 35:[4, 33], Operations: ['24/6=4', '66/2=33'] Exploring Operation: 4+33=37, Resulting Numbers: [37] 37,35 unequal: No Solution Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,35 unequal: No Solution Exploring Operation: 4*33=132, Resulting Numbers: [132] 132,35 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 #0,1,1 Current State: 35:[4, 64], Operations: ['24/6=4', '66-2=64'] Exploring Operation: 4*64=256, Resulting Numbers: [256] 256,35 unequal: No Solution Exploring Operation: 4+64=68, Resulting Numbers: [68] 68,35 unequal: No Solution Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,35 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 #0,1,2 Current State: 35:[2, 62], Operations: ['24/6=4', '66-4=62'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,35 unequal: No Solution Exploring Operation: 2*62=124, Resulting Numbers: [124] 124,35 unequal: No Solution Exploring Operation: 2+62=64, Resulting Numbers: [64] 64,35 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 #0,1,0 Current State: 35:[66, 8], Operations: ['24/6=4', '2*4=8'] Exploring Operation: 66*8=528, Resulting Numbers: [528] 528,35 unequal: No Solution Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,35 unequal: No Solution Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,35 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 #0,1,3 Current State: 35:[66, 6], Operations: ['24/6=4', '2+4=6'] Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,35 unequal: No Solution Exploring Operation: 66*6=396, Resulting Numbers: [396] 396,35 unequal: No Solution Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,35 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 #0,2 Current State: 35:[6, 66, 12], Operations: ['24/2=12'] Exploring Operation: 66-12=54, Resulting Numbers: [6, 54] Generated Node #0,2,0: 35:[6, 54] Operation: 66-12=54 Exploring Operation: 12-6=6, Resulting Numbers: [66, 6] Generated Node #0,2,1: 35:[66, 6] Operation: 12-6=6 Exploring Operation: 12/6=2, Resulting Numbers: [66, 2] Generated Node #0,2,2: 35:[66, 2] Operation: 12/6=2 Exploring Operation: 66-6=60, Resulting Numbers: [12, 60] Generated Node #0,2,3: 35:[12, 60] Operation: 66-6=60 Exploring Operation: 66/6=11, Resulting Numbers: [12, 11] Generated Node #0,2,4: 35:[12, 11] Operation: 66/6=11 Moving to Node #0,2,4 Current State: 35:[12, 11], Operations: ['24/2=12', '66/6=11'] Exploring Operation: 12*11=132, Resulting Numbers: [132] 132,35 unequal: No Solution Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,35 unequal: No Solution Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,35 unequal: No Solution Moving to Node #0,2,0 Current State: 35:[6, 54], Operations: ['24/2=12', '66-12=54'] Exploring Operation: 6+54=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 6*54=324, Resulting Numbers: [324] 324,35 unequal: No Solution Exploring Operation: 54/6=9, Resulting Numbers: [9] 9,35 unequal: No Solution Moving to Node #0,2,3 Current State: 35:[12, 60], Operations: ['24/2=12', '66-6=60'] Exploring Operation: 12*60=720, Resulting Numbers: [720] 720,35 unequal: No Solution Exploring Operation: 12+60=72, Resulting Numbers: [72] 72,35 unequal: No Solution Exploring Operation: 60/12=5, Resulting Numbers: [5] 5,35 unequal: No Solution Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,35 unequal: No Solution Moving to Node #0,2,1 Current State: 35:[66, 6], Operations: ['24/2=12', '12-6=6'] Exploring Operation: 66*6=396, Resulting Numbers: [396] 396,35 unequal: No Solution Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,35 unequal: No Solution Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,35 unequal: No Solution Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,35 unequal: No Solution Moving to Node #0,2,2 Current State: 35:[66, 2], Operations: ['24/2=12', '12/6=2'] Exploring Operation: 66*2=132, Resulting Numbers: [132] 132,35 unequal: No Solution Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,35 unequal: No Solution Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 88, 2, 68, 71 ]
94
[ "71-68=3", "2*3=6", "88+6=94" ]
Current State: 94:[88, 2, 68, 71], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [88, 2, 3] Generated Node #2: [88, 2, 3] from Operation: 71-68=3 Current State: 94:[88, 2, 3], Operations: ['71-68=3'] Exploring Operation: 2*3=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 2*3=6 Current State: 94:[88, 6], Operations: ['71-68=3', '2*3=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[88, 2, 68, 71], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [88, 2, 3] Generated Node #0,0: 94:[88, 2, 3] Operation: 71-68=3 Exploring Operation: 88-71=17, Resulting Numbers: [2, 68, 17] Generated Node #0,1: 94:[2, 68, 17] Operation: 88-71=17 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[88, 2, 3], Operations: ['71-68=3'] Exploring Operation: 88/2=44, Resulting Numbers: [3, 44] Generated Node #0,0,0: 94:[3, 44] Operation: 88/2=44 Exploring Operation: 88+3=91, Resulting Numbers: [2, 91] Generated Node #0,0,1: 94:[2, 91] Operation: 88+3=91 Moving to Node #0,0,1 Current State: 94:[2, 91], Operations: ['71-68=3', '88+3=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,94 unequal: No Solution Exploring Operation: 2+91=93, Resulting Numbers: [93] 93,94 unequal: No Solution Moving to Node #0,0,0 Current State: 94:[3, 44], Operations: ['71-68=3', '88/2=44'] Exploring Operation: 3+44=47, Resulting Numbers: [47] 47,94 unequal: No Solution Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,94 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: 94:[2, 68, 17], Operations: ['88-71=17'] Exploring Operation: 68-17=51, Resulting Numbers: [2, 51] Generated Node #0,1,0: 94:[2, 51] Operation: 68-17=51 Exploring Operation: 68/17=4, Resulting Numbers: [2, 4] Generated Node #0,1,1: 94:[2, 4] Operation: 68/17=4 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 94:[2, 4], Operations: ['88-71=17', '68/17=4'] Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,94 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: 94:[2, 51], Operations: ['88-71=17', '68-17=51'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,94 unequal: No Solution Exploring Operation: 2+51=53, Resulting Numbers: [53] 53,94 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
[ 17, 24, 18, 5 ]
43
[ "17*5=85", "24+18=42", "85-42=43" ]
Current State: 43:[17, 24, 18, 5], Operations: [] Exploring Operation: 17*5=85, Resulting Numbers: [24, 18, 85] Generated Node #2: [24, 18, 85] from Operation: 17*5=85 Current State: 43:[24, 18, 85], Operations: ['17*5=85'] Exploring Operation: 24+18=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 24+18=42 Current State: 43:[85, 42], Operations: ['17*5=85', '24+18=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[17, 24, 18, 5], Operations: [] Exploring Operation: 17+24=41, Resulting Numbers: [18, 5, 41] Generated Node #0,0: 43:[18, 5, 41] Operation: 17+24=41 Start Sub Search at level 1: Moving to Node #0,0 Current State: 43:[18, 5, 41], Operations: ['17+24=41'] Exploring Operation: 18+5=23, Resulting Numbers: [41, 23] Generated Node #0,0,0: 43:[41, 23] Operation: 18+5=23 Moving to Node #0,0,0 Current State: 43:[41, 23], Operations: ['17+24=41', '18+5=23'] Exploring Operation: 41+23=64, Resulting Numbers: [64] 64,43 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
[ 38, 75, 29, 4 ]
79
[ "75-38=37", "29*4=116", "116-37=79" ]
Current State: 79:[38, 75, 29, 4], Operations: [] Exploring Operation: 75-38=37, Resulting Numbers: [29, 4, 37] Generated Node #2: [29, 4, 37] from Operation: 75-38=37 Current State: 79:[29, 4, 37], Operations: ['75-38=37'] Exploring Operation: 29*4=116, Resulting Numbers: [37, 116] Generated Node #3: [37, 116] from Operation: 29*4=116 Current State: 79:[37, 116], Operations: ['75-38=37', '29*4=116'] Exploring Operation: 116-37=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[38, 75, 29, 4], Operations: [] Exploring Operation: 38+4=42, Resulting Numbers: [75, 29, 42] Generated Node #0,0: 79:[75, 29, 42] Operation: 38+4=42 Exploring Operation: 29+4=33, Resulting Numbers: [38, 75, 33] Generated Node #0,1: 79:[38, 75, 33] Operation: 29+4=33 Exploring Operation: 38+29=67, Resulting Numbers: [75, 4, 67] Generated Node #0,2: 79:[75, 4, 67] Operation: 38+29=67 Exploring Operation: 29*4=116, Resulting Numbers: [38, 75, 116] Generated Node #0,3: 79:[38, 75, 116] Operation: 29*4=116 Exploring Operation: 75+4=79, Resulting Numbers: [38, 29, 79] Generated Node #0,4: 79:[38, 29, 79] Operation: 75+4=79 Start Sub Search at level 1: Moving to Node #0,3 Current State: 79:[38, 75, 116], Operations: ['29*4=116'] Exploring Operation: 38+75=113, Resulting Numbers: [116, 113] Generated Node #0,3,0: 79:[116, 113] Operation: 38+75=113 Exploring Operation: 116-75=41, Resulting Numbers: [38, 41] Generated Node #0,3,1: 79:[38, 41] Operation: 116-75=41 Exploring Operation: 38+116=154, Resulting Numbers: [75, 154] Generated Node #0,3,2: 79:[75, 154] Operation: 38+116=154 Exploring Operation: 75-38=37, Resulting Numbers: [116, 37] Generated Node #0,3,3: 79:[116, 37] Operation: 75-38=37 Exploring Operation: 116-38=78, Resulting Numbers: [75, 78] Generated Node #0,3,4: 79:[75, 78] Operation: 116-38=78 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 79:[75, 78], Operations: ['29*4=116', '116-38=78'] Exploring Operation: 78-75=3, Resulting Numbers: [3] 3,79 unequal: No Solution Exploring Operation: 75+78=153, Resulting Numbers: [153] 153,79 unequal: No Solution Exploring Operation: 75*78=5850, Resulting Numbers: [5850] 5850,79 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 #0,3,0 Current State: 79:[116, 113], Operations: ['29*4=116', '38+75=113'] Exploring Operation: 116*113=13108, Resulting Numbers: [13108] 13108,79 unequal: No Solution Exploring Operation: 116-113=3, Resulting Numbers: [3] 3,79 unequal: No Solution Exploring Operation: 116+113=229, Resulting Numbers: [229] 229,79 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: 79:[38, 41], Operations: ['29*4=116', '116-75=41'] Exploring Operation: 38*41=1558, Resulting Numbers: [1558] 1558,79 unequal: No Solution Exploring Operation: 38+41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Moving to Node #0 Current State: 79:[38, 75, 29, 4], Operations: [] Exploring Operation: 29*4=116, Resulting Numbers: [38, 75, 116] Generated Node #0,3: 79:[38, 75, 116] Operation: 29*4=116 Moving to Node #0,3 Current State: 79:[38, 75, 116], Operations: ['29*4=116'] Exploring Operation: 116-75=41, Resulting Numbers: [38, 41] Generated Node #0,3,1: 79:[38, 41] Operation: 116-75=41 Moving to Node #0,3,1 Current State: 79:[38, 41], Operations: ['29*4=116', '116-75=41'] Exploring Operation: 38+41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.980903
hs_5
sum_heuristic
[ 89, 95, 64, 3 ]
61
[ "95-89=6", "64+3=67", "67-6=61" ]
Current State: 61:[89, 95, 64, 3], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [64, 3, 6] Generated Node #2: [64, 3, 6] from Operation: 95-89=6 Current State: 61:[64, 3, 6], Operations: ['95-89=6'] Exploring Operation: 64+3=67, Resulting Numbers: [6, 67] Generated Node #3: [6, 67] from Operation: 64+3=67 Current State: 61:[6, 67], Operations: ['95-89=6', '64+3=67'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[89, 95, 64, 3], Operations: [] Exploring Operation: 64-3=61, Resulting Numbers: [89, 95, 61] Generated Node #0,0: 61:[89, 95, 61] Operation: 64-3=61 Exploring Operation: 89-3=86, Resulting Numbers: [95, 64, 86] Generated Node #0,1: 61:[95, 64, 86] Operation: 89-3=86 Exploring Operation: 95-3=92, Resulting Numbers: [89, 64, 92] Generated Node #0,2: 61:[89, 64, 92] Operation: 95-3=92 Exploring Operation: 89+3=92, Resulting Numbers: [95, 64, 92] Generated Node #0,3: 61:[95, 64, 92] Operation: 89+3=92 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[89, 95, 61], Operations: ['64-3=61'] Exploring Operation: 95-89=6, Resulting Numbers: [61, 6] Generated Node #0,0,0: 61:[61, 6] Operation: 95-89=6 Exploring Operation: 89-61=28, Resulting Numbers: [95, 28] Generated Node #0,0,1: 61:[95, 28] Operation: 89-61=28 Exploring Operation: 95-61=34, Resulting Numbers: [89, 34] Generated Node #0,0,2: 61:[89, 34] Operation: 95-61=34 Exploring Operation: 89+95=184, Resulting Numbers: [61, 184] Generated Node #0,0,3: 61:[61, 184] Operation: 89+95=184 Moving to Node #0,0,0 Current State: 61:[61, 6], Operations: ['64-3=61', '95-89=6'] Exploring Operation: 61*6=366, Resulting Numbers: [366] 366,61 unequal: No Solution Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,61 unequal: No Solution Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,61 unequal: No Solution Moving to Node #0,0,2 Current State: 61:[89, 34], Operations: ['64-3=61', '95-61=34'] Exploring Operation: 89+34=123, Resulting Numbers: [123] 123,61 unequal: No Solution Exploring Operation: 89-34=55, Resulting Numbers: [55] 55,61 unequal: No Solution Exploring Operation: 89*34=3026, Resulting Numbers: [3026] 3026,61 unequal: No Solution Moving to Node #0,0,1 Current State: 61:[95, 28], Operations: ['64-3=61', '89-61=28'] Exploring Operation: 95-28=67, Resulting Numbers: [67] 67,61 unequal: No Solution Exploring Operation: 95+28=123, Resulting Numbers: [123] 123,61 unequal: No Solution Exploring Operation: 95*28=2660, Resulting Numbers: [2660] 2660,61 unequal: No Solution Moving to Node #0,0,3 Current State: 61:[61, 184], Operations: ['64-3=61', '89+95=184'] Exploring Operation: 184-61=123, Resulting Numbers: [123] 123,61 unequal: No Solution Exploring Operation: 61*184=11224, Resulting Numbers: [11224] 11224,61 unequal: No Solution Exploring Operation: 61+184=245, Resulting Numbers: [245] 245,61 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: 61:[95, 64, 86], Operations: ['89-3=86'] Exploring Operation: 95-86=9, Resulting Numbers: [64, 9] Generated Node #0,1,0: 61:[64, 9] Operation: 95-86=9 Exploring Operation: 95-64=31, Resulting Numbers: [86, 31] Generated Node #0,1,1: 61:[86, 31] Operation: 95-64=31 Exploring Operation: 95+64=159, Resulting Numbers: [86, 159] Generated Node #0,1,2: 61:[86, 159] Operation: 95+64=159 Exploring Operation: 86-64=22, Resulting Numbers: [95, 22] Generated Node #0,1,3: 61:[95, 22] Operation: 86-64=22 Moving to Node #0,1,0 Current State: 61:[64, 9], Operations: ['89-3=86', '95-86=9'] Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,61 unequal: No Solution Exploring Operation: 64*9=576, Resulting Numbers: [576] 576,61 unequal: No Solution Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,61 unequal: No Solution Moving to Node #0,1,1 Current State: 61:[86, 31], Operations: ['89-3=86', '95-64=31'] Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,61 unequal: No Solution Exploring Operation: 86+31=117, Resulting Numbers: [117] 117,61 unequal: No Solution Exploring Operation: 86*31=2666, Resulting Numbers: [2666] 2666,61 unequal: No Solution Moving to Node #0,1,3 Current State: 61:[95, 22], Operations: ['89-3=86', '86-64=22'] Exploring Operation: 95*22=2090, Resulting Numbers: [2090] 2090,61 unequal: No Solution Exploring Operation: 95-22=73, Resulting Numbers: [73] 73,61 unequal: No Solution Exploring Operation: 95+22=117, Resulting Numbers: [117] 117,61 unequal: No Solution Moving to Node #0,1,2 Current State: 61:[86, 159], Operations: ['89-3=86', '95+64=159'] Exploring Operation: 86*159=13674, Resulting Numbers: [13674] 13674,61 unequal: No Solution Exploring Operation: 159-86=73, Resulting Numbers: [73] 73,61 unequal: No Solution Exploring Operation: 86+159=245, Resulting Numbers: [245] 245,61 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: 61:[89, 64, 92], Operations: ['95-3=92'] Exploring Operation: 89+64=153, Resulting Numbers: [92, 153] Generated Node #0,2,0: 61:[92, 153] Operation: 89+64=153 Exploring Operation: 89-64=25, Resulting Numbers: [92, 25] Generated Node #0,2,1: 61:[92, 25] Operation: 89-64=25 Exploring Operation: 92-89=3, Resulting Numbers: [64, 3] Generated Node #0,2,2: 61:[64, 3] Operation: 92-89=3 Exploring Operation: 92-64=28, Resulting Numbers: [89, 28] Generated Node #0,2,3: 61:[89, 28] Operation: 92-64=28 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 61:[64, 3], Operations: ['95-3=92', '92-89=3'] Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[89, 95, 64, 3], Operations: [] Exploring Operation: 95-3=92, Resulting Numbers: [89, 64, 92] Generated Node #0,2: 61:[89, 64, 92] Operation: 95-3=92 Moving to Node #0,2 Current State: 61:[89, 64, 92], Operations: ['95-3=92'] Exploring Operation: 92-89=3, Resulting Numbers: [64, 3] Generated Node #0,2,2: 61:[64, 3] Operation: 92-89=3 Moving to Node #0,2,2 Current State: 61:[64, 3], Operations: ['95-3=92', '92-89=3'] Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.960938
hs_4
mult_heuristic
[ 47, 76, 62, 41 ]
50
[ "76-47=29", "62-41=21", "29+21=50" ]
Current State: 50:[47, 76, 62, 41], Operations: [] Exploring Operation: 76-47=29, Resulting Numbers: [62, 41, 29] Generated Node #2: [62, 41, 29] from Operation: 76-47=29 Current State: 50:[62, 41, 29], Operations: ['76-47=29'] Exploring Operation: 62-41=21, Resulting Numbers: [29, 21] Generated Node #3: [29, 21] from Operation: 62-41=21 Current State: 50:[29, 21], Operations: ['76-47=29', '62-41=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[47, 76, 62, 41], Operations: [] Exploring Operation: 76-47=29, Resulting Numbers: [62, 41, 29] Generated Node #0,0: 50:[62, 41, 29] Operation: 76-47=29 Exploring Operation: 76-62=14, Resulting Numbers: [47, 41, 14] Generated Node #0,1: 50:[47, 41, 14] Operation: 76-62=14 Moving to Node #0,1 Current State: 50:[47, 41, 14], Operations: ['76-62=14'] Exploring Operation: 41-14=27, Resulting Numbers: [47, 27] Generated Node #0,1,0: 50:[47, 27] Operation: 41-14=27 Exploring Operation: 47-41=6, Resulting Numbers: [14, 6] Generated Node #0,1,1: 50:[14, 6] Operation: 47-41=6 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 50:[47, 27], Operations: ['76-62=14', '41-14=27'] Exploring Operation: 47+27=74, Resulting Numbers: [74] 74,50 unequal: No Solution Exploring Operation: 47-27=20, Resulting Numbers: [20] 20,50 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 #0,1,1 Current State: 50:[14, 6], Operations: ['76-62=14', '47-41=6'] Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,50 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:[62, 41, 29], Operations: ['76-47=29'] Exploring Operation: 62-41=21, Resulting Numbers: [29, 21] Generated Node #0,0,0: 50:[29, 21] Operation: 62-41=21 Exploring Operation: 41-29=12, Resulting Numbers: [62, 12] Generated Node #0,0,1: 50:[62, 12] Operation: 41-29=12 Moving to Node #0,0,0 Current State: 50:[29, 21], Operations: ['76-47=29', '62-41=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[47, 76, 62, 41], Operations: [] Exploring Operation: 76-47=29, Resulting Numbers: [62, 41, 29] Generated Node #0,0: 50:[62, 41, 29] Operation: 76-47=29 Moving to Node #0,0 Current State: 50:[62, 41, 29], Operations: ['76-47=29'] Exploring Operation: 62-41=21, Resulting Numbers: [29, 21] Generated Node #0,0,0: 50:[29, 21] Operation: 62-41=21 Moving to Node #0,0,0 Current State: 50:[29, 21], Operations: ['76-47=29', '62-41=21'] Exploring Operation: 29+21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
0.986979
hs_2
sum_heuristic
[ 27, 33, 65, 49 ]
44
[ "27+33=60", "65-49=16", "60-16=44" ]
Current State: 44:[27, 33, 65, 49], Operations: [] Exploring Operation: 27+33=60, Resulting Numbers: [65, 49, 60] Generated Node #2: [65, 49, 60] from Operation: 27+33=60 Current State: 44:[65, 49, 60], Operations: ['27+33=60'] Exploring Operation: 65-49=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 65-49=16 Current State: 44:[60, 16], Operations: ['27+33=60', '65-49=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[27, 33, 65, 49], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [27, 65, 16] Generated Node #0,0: 44:[27, 65, 16] Operation: 49-33=16 Exploring Operation: 65-33=32, Resulting Numbers: [27, 49, 32] Generated Node #0,1: 44:[27, 49, 32] Operation: 65-33=32 Exploring Operation: 65-27=38, Resulting Numbers: [33, 49, 38] Generated Node #0,2: 44:[33, 49, 38] Operation: 65-27=38 Exploring Operation: 33-27=6, Resulting Numbers: [65, 49, 6] Generated Node #0,3: 44:[65, 49, 6] Operation: 33-27=6 Exploring Operation: 65-49=16, Resulting Numbers: [27, 33, 16] Generated Node #0,4: 44:[27, 33, 16] Operation: 65-49=16 Start Sub Search at level 1: Moving to Node #0,1 Current State: 44:[27, 49, 32], Operations: ['65-33=32'] Exploring Operation: 49-27=22, Resulting Numbers: [32, 22] Generated Node #0,1,0: 44:[32, 22] Operation: 49-27=22 Exploring Operation: 32-27=5, Resulting Numbers: [49, 5] Generated Node #0,1,1: 44:[49, 5] Operation: 32-27=5 Exploring Operation: 27+32=59, Resulting Numbers: [49, 59] Generated Node #0,1,2: 44:[49, 59] Operation: 27+32=59 Exploring Operation: 27+49=76, Resulting Numbers: [32, 76] Generated Node #0,1,3: 44:[32, 76] Operation: 27+49=76 Exploring Operation: 49-32=17, Resulting Numbers: [27, 17] Generated Node #0,1,4: 44:[27, 17] Operation: 49-32=17 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 44:[49, 5], Operations: ['65-33=32', '32-27=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[27, 33, 65, 49], Operations: [] Exploring Operation: 65-33=32, Resulting Numbers: [27, 49, 32] Generated Node #0,1: 44:[27, 49, 32] Operation: 65-33=32 Moving to Node #0,1 Current State: 44:[27, 49, 32], Operations: ['65-33=32'] Exploring Operation: 32-27=5, Resulting Numbers: [49, 5] Generated Node #0,1,1: 44:[49, 5] Operation: 32-27=5 Moving to Node #0,1,1 Current State: 44:[49, 5], Operations: ['65-33=32', '32-27=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 63, 10, 88, 13 ]
83
[ "63-13=50", "50/10=5", "88-5=83" ]
Current State: 83:[63, 10, 88, 13], Operations: [] Exploring Operation: 63-13=50, Resulting Numbers: [10, 88, 50] Generated Node #2: [10, 88, 50] from Operation: 63-13=50 Current State: 83:[10, 88, 50], Operations: ['63-13=50'] Exploring Operation: 50/10=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 50/10=5 Current State: 83:[88, 5], Operations: ['63-13=50', '50/10=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[63, 10, 88, 13], Operations: [] Exploring Operation: 10*13=130, Resulting Numbers: [63, 88, 130] Generated Node #0,0: 83:[63, 88, 130] Operation: 10*13=130 Moving to Node #0,0 Current State: 83:[63, 88, 130], Operations: ['10*13=130'] Exploring Operation: 130-63=67, Resulting Numbers: [88, 67] Generated Node #0,0,0: 83:[88, 67] Operation: 130-63=67 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 83:[88, 67], Operations: ['10*13=130', '130-63=67'] Exploring Operation: 88-67=21, Resulting Numbers: [21] 21,83 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
[ 21, 17, 64, 37 ]
84
[ "21-17=4", "37*4=148", "148-64=84" ]
Current State: 84:[21, 17, 64, 37], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [64, 37, 4] Generated Node #2: [64, 37, 4] from Operation: 21-17=4 Current State: 84:[64, 37, 4], Operations: ['21-17=4'] Exploring Operation: 37*4=148, Resulting Numbers: [64, 148] Generated Node #3: [64, 148] from Operation: 37*4=148 Current State: 84:[64, 148], Operations: ['21-17=4', '37*4=148'] Exploring Operation: 148-64=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[21, 17, 64, 37], Operations: [] Exploring Operation: 21+64=85, Resulting Numbers: [17, 37, 85] Generated Node #0,0: 84:[17, 37, 85] Operation: 21+64=85 Exploring Operation: 64-37=27, Resulting Numbers: [21, 17, 27] Generated Node #0,1: 84:[21, 17, 27] Operation: 64-37=27 Exploring Operation: 64-21=43, Resulting Numbers: [17, 37, 43] Generated Node #0,2: 84:[17, 37, 43] Operation: 64-21=43 Exploring Operation: 17+64=81, Resulting Numbers: [21, 37, 81] Generated Node #0,3: 84:[21, 37, 81] Operation: 17+64=81 Moving to Node #0,1 Current State: 84:[21, 17, 27], Operations: ['64-37=27'] Exploring Operation: 27-17=10, Resulting Numbers: [21, 10] Generated Node #0,1,0: 84:[21, 10] Operation: 27-17=10 Exploring Operation: 17+27=44, Resulting Numbers: [21, 44] Generated Node #0,1,1: 84:[21, 44] Operation: 17+27=44 Exploring Operation: 27-21=6, Resulting Numbers: [17, 6] Generated Node #0,1,2: 84:[17, 6] Operation: 27-21=6 Exploring Operation: 21-17=4, Resulting Numbers: [27, 4] Generated Node #0,1,3: 84:[27, 4] Operation: 21-17=4 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 84:[27, 4], Operations: ['64-37=27', '21-17=4'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,84 unequal: No Solution Exploring Operation: 27*4=108, Resulting Numbers: [108] 108,84 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 #0,1,0 Current State: 84:[21, 10], Operations: ['64-37=27', '27-17=10'] Exploring Operation: 21*10=210, Resulting Numbers: [210] 210,84 unequal: No Solution Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,84 unequal: No Solution Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,84 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 #0,1,1 Current State: 84:[21, 44], Operations: ['64-37=27', '17+27=44'] Exploring Operation: 44-21=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 21*44=924, Resulting Numbers: [924] 924,84 unequal: No Solution Exploring Operation: 21+44=65, Resulting Numbers: [65] 65,84 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 #0,1,2 Current State: 84:[17, 6], Operations: ['64-37=27', '27-21=6'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,84 unequal: No Solution Exploring Operation: 17*6=102, Resulting Numbers: [102] 102,84 unequal: No Solution Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,84 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: 84:[21, 37, 81], Operations: ['17+64=81'] Exploring Operation: 21+37=58, Resulting Numbers: [81, 58] Generated Node #0,3,0: 84:[81, 58] Operation: 21+37=58 Exploring Operation: 21+81=102, Resulting Numbers: [37, 102] Generated Node #0,3,1: 84:[37, 102] Operation: 21+81=102 Exploring Operation: 81-37=44, Resulting Numbers: [21, 44] Generated Node #0,3,2: 84:[21, 44] Operation: 81-37=44 Exploring Operation: 37-21=16, Resulting Numbers: [81, 16] Generated Node #0,3,3: 84:[81, 16] Operation: 37-21=16 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 84:[21, 44], Operations: ['17+64=81', '81-37=44'] Exploring Operation: 21*44=924, Resulting Numbers: [924] 924,84 unequal: No Solution Exploring Operation: 44-21=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 21+44=65, Resulting Numbers: [65] 65,84 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 #0,3,3 Current State: 84:[81, 16], Operations: ['17+64=81', '37-21=16'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,84 unequal: No Solution Exploring Operation: 81+16=97, Resulting Numbers: [97] 97,84 unequal: No Solution Exploring Operation: 81*16=1296, Resulting Numbers: [1296] 1296,84 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 #0,3,0 Current State: 84:[81, 58], Operations: ['17+64=81', '21+37=58'] Exploring Operation: 81-58=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 81*58=4698, Resulting Numbers: [4698] 4698,84 unequal: No Solution Exploring Operation: 81+58=139, Resulting Numbers: [139] 139,84 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 #0,3,1 Current State: 84:[37, 102], Operations: ['17+64=81', '21+81=102'] Exploring Operation: 37*102=3774, Resulting Numbers: [3774] 3774,84 unequal: No Solution Exploring Operation: 102-37=65, Resulting Numbers: [65] 65,84 unequal: No Solution Exploring Operation: 37+102=139, Resulting Numbers: [139] 139,84 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: 84:[17, 37, 43], Operations: ['64-21=43'] Exploring Operation: 43-37=6, Resulting Numbers: [17, 6] Generated Node #0,2,0: 84:[17, 6] Operation: 43-37=6 Exploring Operation: 37-17=20, Resulting Numbers: [43, 20] Generated Node #0,2,1: 84:[43, 20] Operation: 37-17=20 Exploring Operation: 43-17=26, Resulting Numbers: [37, 26] Generated Node #0,2,2: 84:[37, 26] Operation: 43-17=26 Exploring Operation: 37+43=80, Resulting Numbers: [17, 80] Generated Node #0,2,3: 84:[17, 80] Operation: 37+43=80 Moving to Node #0,0 Current State: 84:[17, 37, 85], Operations: ['21+64=85'] Exploring Operation: 17+37=54, Resulting Numbers: [85, 54] Generated Node #0,0,0: 84:[85, 54] Operation: 17+37=54 Exploring Operation: 85-37=48, Resulting Numbers: [17, 48] Generated Node #0,0,1: 84:[17, 48] Operation: 85-37=48 Exploring Operation: 85/17=5, Resulting Numbers: [37, 5] Generated Node #0,0,2: 84:[37, 5] Operation: 85/17=5 Exploring Operation: 37-17=20, Resulting Numbers: [85, 20] Generated Node #0,0,3: 84:[85, 20] Operation: 37-17=20 Moving to Node #0,2,1 Current State: 84:[43, 20], Operations: ['64-21=43', '37-17=20'] Exploring Operation: 43+20=63, Resulting Numbers: [63] 63,84 unequal: No Solution Exploring Operation: 43-20=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 43*20=860, Resulting Numbers: [860] 860,84 unequal: No Solution Moving to Node #0,0,3 Current State: 84:[85, 20], Operations: ['21+64=85', '37-17=20'] Exploring Operation: 85+20=105, Resulting Numbers: [105] 105,84 unequal: No Solution Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,84 unequal: No Solution Exploring Operation: 85*20=1700, Resulting Numbers: [1700] 1700,84 unequal: No Solution Moving to Node #0,2,0 Current State: 84:[17, 6], Operations: ['64-21=43', '43-37=6'] Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 17*6=102, Resulting Numbers: [102] 102,84 unequal: No Solution Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[37, 5], Operations: ['21+64=85', '85/17=5'] Exploring Operation: 37*5=185, Resulting Numbers: [185] 185,84 unequal: No Solution Exploring Operation: 37+5=42, Resulting Numbers: [42] 42,84 unequal: No Solution Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,84 unequal: No Solution Moving to Node #0,2,2 Current State: 84:[37, 26], Operations: ['64-21=43', '43-17=26'] Exploring Operation: 37*26=962, Resulting Numbers: [962] 962,84 unequal: No Solution Exploring Operation: 37+26=63, Resulting Numbers: [63] 63,84 unequal: No Solution Exploring Operation: 37-26=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,2,3 Current State: 84:[17, 80], Operations: ['64-21=43', '37+43=80'] Exploring Operation: 17+80=97, Resulting Numbers: [97] 97,84 unequal: No Solution Exploring Operation: 17*80=1360, Resulting Numbers: [1360] 1360,84 unequal: No Solution Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[17, 48], Operations: ['21+64=85', '85-37=48'] Exploring Operation: 17*48=816, Resulting Numbers: [816] 816,84 unequal: No Solution Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,84 unequal: No Solution Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[85, 54], Operations: ['21+64=85', '17+37=54'] Exploring Operation: 85+54=139, Resulting Numbers: [139] 139,84 unequal: No Solution Exploring Operation: 85-54=31, Resulting Numbers: [31] 31,84 unequal: No Solution Exploring Operation: 85*54=4590, Resulting Numbers: [4590] 4590,84 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 21, 96, 20, 71 ]
25
[ "21-20=1", "96-71=25", "1*25=25" ]
Current State: 25:[21, 96, 20, 71], Operations: [] Exploring Operation: 21-20=1, Resulting Numbers: [96, 71, 1] Generated Node #2: [96, 71, 1] from Operation: 21-20=1 Current State: 25:[96, 71, 1], Operations: ['21-20=1'] Exploring Operation: 96-71=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 96-71=25 Current State: 25:[1, 25], Operations: ['21-20=1', '96-71=25'] Exploring Operation: 1*25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[21, 96, 20, 71], Operations: [] Exploring Operation: 96-71=25, Resulting Numbers: [21, 20, 25] Generated Node #0,0: 25:[21, 20, 25] Operation: 96-71=25 Exploring Operation: 96-21=75, Resulting Numbers: [20, 71, 75] Generated Node #0,1: 25:[20, 71, 75] Operation: 96-21=75 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[21, 20, 25], Operations: ['96-71=25'] Exploring Operation: 21-20=1, Resulting Numbers: [25, 1] Generated Node #0,0,0: 25:[25, 1] Operation: 21-20=1 Exploring Operation: 25-20=5, Resulting Numbers: [21, 5] Generated Node #0,0,1: 25:[21, 5] Operation: 25-20=5 Moving to Node #0,0,0 Current State: 25:[25, 1], Operations: ['96-71=25', '21-20=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[21, 96, 20, 71], Operations: [] Exploring Operation: 96-71=25, Resulting Numbers: [21, 20, 25] Generated Node #0,0: 25:[21, 20, 25] Operation: 96-71=25 Moving to Node #0,0 Current State: 25:[21, 20, 25], Operations: ['96-71=25'] Exploring Operation: 21-20=1, Resulting Numbers: [25, 1] Generated Node #0,0,0: 25:[25, 1] Operation: 21-20=1 Moving to Node #0,0,0 Current State: 25:[25, 1], Operations: ['96-71=25', '21-20=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 43, 31, 93, 69 ]
12
[ "43-31=12", "93-69=24", "24-12=12" ]
Current State: 12:[43, 31, 93, 69], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [93, 69, 12] Generated Node #2: [93, 69, 12] from Operation: 43-31=12 Current State: 12:[93, 69, 12], Operations: ['43-31=12'] Exploring Operation: 93-69=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 93-69=24 Current State: 12:[12, 24], Operations: ['43-31=12', '93-69=24'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[43, 31, 93, 69], Operations: [] Exploring Operation: 93-69=24, Resulting Numbers: [43, 31, 24] Generated Node #0,0: 12:[43, 31, 24] Operation: 93-69=24 Exploring Operation: 69-43=26, Resulting Numbers: [31, 93, 26] Generated Node #0,1: 12:[31, 93, 26] Operation: 69-43=26 Exploring Operation: 93-43=50, Resulting Numbers: [31, 69, 50] Generated Node #0,2: 12:[31, 69, 50] Operation: 93-43=50 Exploring Operation: 93/31=3, Resulting Numbers: [43, 69, 3] Generated Node #0,3: 12:[43, 69, 3] Operation: 93/31=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[43, 31, 24], Operations: ['93-69=24'] Exploring Operation: 43-24=19, Resulting Numbers: [31, 19] Generated Node #0,0,0: 12:[31, 19] Operation: 43-24=19 Exploring Operation: 43+31=74, Resulting Numbers: [24, 74] Generated Node #0,0,1: 12:[24, 74] Operation: 43+31=74 Exploring Operation: 31-24=7, Resulting Numbers: [43, 7] Generated Node #0,0,2: 12:[43, 7] Operation: 31-24=7 Exploring Operation: 43-31=12, Resulting Numbers: [24, 12] Generated Node #0,0,3: 12:[24, 12] Operation: 43-31=12 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 12:[24, 12], Operations: ['93-69=24', '43-31=12'] Exploring Operation: 24+12=36, Resulting Numbers: [36] 36,12 unequal: No Solution Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[43, 31, 93, 69], Operations: [] Exploring Operation: 93-69=24, Resulting Numbers: [43, 31, 24] Generated Node #0,0: 12:[43, 31, 24] Operation: 93-69=24 Moving to Node #0,0 Current State: 12:[43, 31, 24], Operations: ['93-69=24'] Exploring Operation: 43-31=12, Resulting Numbers: [24, 12] Generated Node #0,0,3: 12:[24, 12] Operation: 43-31=12 Moving to Node #0,0,3 Current State: 12:[24, 12], Operations: ['93-69=24', '43-31=12'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_4
sum_heuristic
[ 74, 61, 66, 29 ]
98
[ "74+61=135", "66-29=37", "135-37=98" ]
Current State: 98:[74, 61, 66, 29], Operations: [] Exploring Operation: 74+61=135, Resulting Numbers: [66, 29, 135] Generated Node #2: [66, 29, 135] from Operation: 74+61=135 Current State: 98:[66, 29, 135], Operations: ['74+61=135'] Exploring Operation: 66-29=37, Resulting Numbers: [135, 37] Generated Node #3: [135, 37] from Operation: 66-29=37 Current State: 98:[135, 37], Operations: ['74+61=135', '66-29=37'] Exploring Operation: 135-37=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[74, 61, 66, 29], Operations: [] Exploring Operation: 74+29=103, Resulting Numbers: [61, 66, 103] Generated Node #0,0: 98:[61, 66, 103] Operation: 74+29=103 Exploring Operation: 74-61=13, Resulting Numbers: [66, 29, 13] Generated Node #0,1: 98:[66, 29, 13] Operation: 74-61=13 Exploring Operation: 74-66=8, Resulting Numbers: [61, 29, 8] Generated Node #0,2: 98:[61, 29, 8] Operation: 74-66=8 Exploring Operation: 66+29=95, Resulting Numbers: [74, 61, 95] Generated Node #0,3: 98:[74, 61, 95] Operation: 66+29=95 Exploring Operation: 74-29=45, Resulting Numbers: [61, 66, 45] Generated Node #0,4: 98:[61, 66, 45] Operation: 74-29=45 Start Sub Search at level 1: Moving to Node #0,2 Current State: 98:[61, 29, 8], Operations: ['74-66=8'] Exploring Operation: 61+29=90, Resulting Numbers: [8, 90] Generated Node #0,2,0: 98:[8, 90] Operation: 61+29=90 Exploring Operation: 61-29=32, Resulting Numbers: [8, 32] Generated Node #0,2,1: 98:[8, 32] Operation: 61-29=32 Exploring Operation: 29-8=21, Resulting Numbers: [61, 21] Generated Node #0,2,2: 98:[61, 21] Operation: 29-8=21 Exploring Operation: 29+8=37, Resulting Numbers: [61, 37] Generated Node #0,2,3: 98:[61, 37] Operation: 29+8=37 Exploring Operation: 61-8=53, Resulting Numbers: [29, 53] Generated Node #0,2,4: 98:[29, 53] Operation: 61-8=53 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 98:[8, 90], Operations: ['74-66=8', '61+29=90'] Exploring Operation: 8+90=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[74, 61, 66, 29], Operations: [] Exploring Operation: 74-66=8, Resulting Numbers: [61, 29, 8] Generated Node #0,2: 98:[61, 29, 8] Operation: 74-66=8 Moving to Node #0,2 Current State: 98:[61, 29, 8], Operations: ['74-66=8'] Exploring Operation: 61+29=90, Resulting Numbers: [8, 90] Generated Node #0,2,0: 98:[8, 90] Operation: 61+29=90 Moving to Node #0,2,0 Current State: 98:[8, 90], Operations: ['74-66=8', '61+29=90'] Exploring Operation: 8+90=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
mult_heuristic
[ 58, 31, 61, 66 ]
94
[ "58+31=89", "66-61=5", "89+5=94" ]
Current State: 94:[58, 31, 61, 66], Operations: [] Exploring Operation: 58+31=89, Resulting Numbers: [61, 66, 89] Generated Node #2: [61, 66, 89] from Operation: 58+31=89 Current State: 94:[61, 66, 89], Operations: ['58+31=89'] Exploring Operation: 66-61=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 66-61=5 Current State: 94:[89, 5], Operations: ['58+31=89', '66-61=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[58, 31, 61, 66], Operations: [] Exploring Operation: 31+61=92, Resulting Numbers: [58, 66, 92] Generated Node #0,0: 94:[58, 66, 92] Operation: 31+61=92 Exploring Operation: 66-61=5, Resulting Numbers: [58, 31, 5] Generated Node #0,1: 94:[58, 31, 5] Operation: 66-61=5 Exploring Operation: 31+66=97, Resulting Numbers: [58, 61, 97] Generated Node #0,2: 94:[58, 61, 97] Operation: 31+66=97 Moving to Node #0,2 Current State: 94:[58, 61, 97], Operations: ['31+66=97'] Exploring Operation: 61-58=3, Resulting Numbers: [97, 3] Generated Node #0,2,0: 94:[97, 3] Operation: 61-58=3 Exploring Operation: 97-58=39, Resulting Numbers: [61, 39] Generated Node #0,2,1: 94:[61, 39] Operation: 97-58=39 Exploring Operation: 97-61=36, Resulting Numbers: [58, 36] Generated Node #0,2,2: 94:[58, 36] Operation: 97-61=36 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 94:[97, 3], Operations: ['31+66=97', '61-58=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[58, 31, 61, 66], Operations: [] Exploring Operation: 31+66=97, Resulting Numbers: [58, 61, 97] Generated Node #0,2: 94:[58, 61, 97] Operation: 31+66=97 Moving to Node #0,2 Current State: 94:[58, 61, 97], Operations: ['31+66=97'] Exploring Operation: 61-58=3, Resulting Numbers: [97, 3] Generated Node #0,2,0: 94:[97, 3] Operation: 61-58=3 Moving to Node #0,2,0 Current State: 94:[97, 3], Operations: ['31+66=97', '61-58=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 10, 17, 86, 3 ]
95
[ "10+17=27", "27/3=9", "86+9=95" ]
Current State: 95:[10, 17, 86, 3], Operations: [] Exploring Operation: 10+17=27, Resulting Numbers: [86, 3, 27] Generated Node #2: [86, 3, 27] from Operation: 10+17=27 Current State: 95:[86, 3, 27], Operations: ['10+17=27'] Exploring Operation: 27/3=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 27/3=9 Current State: 95:[86, 9], Operations: ['10+17=27', '27/3=9'] Exploring Operation: 86+9=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[10, 17, 86, 3], Operations: [] Exploring Operation: 10+86=96, Resulting Numbers: [17, 3, 96] Generated Node #0,0: 95:[17, 3, 96] Operation: 10+86=96 Exploring Operation: 17-10=7, Resulting Numbers: [86, 3, 7] Generated Node #0,1: 95:[86, 3, 7] Operation: 17-10=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 95:[17, 3, 96], Operations: ['10+86=96'] Exploring Operation: 96-3=93, Resulting Numbers: [17, 93] Generated Node #0,0,0: 95:[17, 93] Operation: 96-3=93 Exploring Operation: 17+3=20, Resulting Numbers: [96, 20] Generated Node #0,0,1: 95:[96, 20] Operation: 17+3=20 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 95:[96, 20], Operations: ['10+86=96', '17+3=20'] Exploring Operation: 96+20=116, Resulting Numbers: [116] 116,95 unequal: No Solution Exploring Operation: 96-20=76, Resulting Numbers: [76] 76,95 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: 95:[17, 93], Operations: ['10+86=96', '96-3=93'] Exploring Operation: 93-17=76, Resulting Numbers: [76] 76,95 unequal: No Solution Exploring Operation: 17+93=110, Resulting Numbers: [110] 110,95 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: 95:[86, 3, 7], Operations: ['17-10=7'] Exploring Operation: 86+3=89, Resulting Numbers: [7, 89] Generated Node #0,1,0: 95:[7, 89] Operation: 86+3=89 Exploring Operation: 86+7=93, Resulting Numbers: [3, 93] Generated Node #0,1,1: 95:[3, 93] Operation: 86+7=93 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 95:[3, 93], Operations: ['17-10=7', '86+7=93'] Exploring Operation: 3+93=96, Resulting Numbers: [96] 96,95 unequal: No Solution Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,95 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: 95:[7, 89], Operations: ['17-10=7', '86+3=89'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,95 unequal: No Solution Exploring Operation: 7+89=96, Resulting Numbers: [96] 96,95 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
[ 46, 9, 21, 3 ]
36
[ "9+21=30", "30/3=10", "46-10=36" ]
Current State: 36:[46, 9, 21, 3], Operations: [] Exploring Operation: 9+21=30, Resulting Numbers: [46, 3, 30] Generated Node #2: [46, 3, 30] from Operation: 9+21=30 Current State: 36:[46, 3, 30], Operations: ['9+21=30'] Exploring Operation: 30/3=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 30/3=10 Current State: 36:[46, 10], Operations: ['9+21=30', '30/3=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[46, 9, 21, 3], Operations: [] Exploring Operation: 21-9=12, Resulting Numbers: [46, 3, 12] Generated Node #0,0: 36:[46, 3, 12] Operation: 21-9=12 Exploring Operation: 46-21=25, Resulting Numbers: [9, 3, 25] Generated Node #0,1: 36:[9, 3, 25] Operation: 46-21=25 Exploring Operation: 46-3=43, Resulting Numbers: [9, 21, 43] Generated Node #0,2: 36:[9, 21, 43] Operation: 46-3=43 Exploring Operation: 46-9=37, Resulting Numbers: [21, 3, 37] Generated Node #0,3: 36:[21, 3, 37] Operation: 46-9=37 Moving to Node #0,3 Current State: 36:[21, 3, 37], Operations: ['46-9=37'] Exploring Operation: 21/3=7, Resulting Numbers: [37, 7] Generated Node #0,3,0: 36:[37, 7] Operation: 21/3=7 Exploring Operation: 37-21=16, Resulting Numbers: [3, 16] Generated Node #0,3,1: 36:[3, 16] Operation: 37-21=16 Exploring Operation: 21-3=18, Resulting Numbers: [37, 18] Generated Node #0,3,2: 36:[37, 18] Operation: 21-3=18 Exploring Operation: 37-3=34, Resulting Numbers: [21, 34] Generated Node #0,3,3: 36:[21, 34] Operation: 37-3=34 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 36:[37, 18], Operations: ['46-9=37', '21-3=18'] Exploring Operation: 37+18=55, Resulting Numbers: [55] 55,36 unequal: No Solution Exploring Operation: 37-18=19, Resulting Numbers: [19] 19,36 unequal: No Solution Exploring Operation: 37*18=666, Resulting Numbers: [666] 666,36 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: 36:[37, 7], Operations: ['46-9=37', '21/3=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,36 unequal: No Solution Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,36 unequal: No Solution Exploring Operation: 37*7=259, Resulting Numbers: [259] 259,36 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: 36:[3, 16], Operations: ['46-9=37', '37-21=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,36 unequal: No Solution Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,36 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: 36:[21, 34], Operations: ['46-9=37', '37-3=34'] Exploring Operation: 34-21=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 21+34=55, Resulting Numbers: [55] 55,36 unequal: No Solution Exploring Operation: 21*34=714, Resulting Numbers: [714] 714,36 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: 36:[9, 3, 25], Operations: ['46-21=25'] Exploring Operation: 25-9=16, Resulting Numbers: [3, 16] Generated Node #0,1,0: 36:[3, 16] Operation: 25-9=16 Exploring Operation: 9+25=34, Resulting Numbers: [3, 34] Generated Node #0,1,1: 36:[3, 34] Operation: 9+25=34 Exploring Operation: 9+3=12, Resulting Numbers: [25, 12] Generated Node #0,1,2: 36:[25, 12] Operation: 9+3=12 Exploring Operation: 25-3=22, Resulting Numbers: [9, 22] Generated Node #0,1,3: 36:[9, 22] Operation: 25-3=22 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 36:[3, 16], Operations: ['46-21=25', '25-9=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,36 unequal: No Solution Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,36 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: 36:[3, 34], Operations: ['46-21=25', '9+25=34'] Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,36 unequal: No Solution Exploring Operation: 3*34=102, Resulting Numbers: [102] 102,36 unequal: No Solution Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,36 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: 36:[9, 22], Operations: ['46-21=25', '25-3=22'] Exploring Operation: 9*22=198, Resulting Numbers: [198] 198,36 unequal: No Solution Exploring Operation: 9+22=31, Resulting Numbers: [31] 31,36 unequal: No Solution Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,36 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: 36:[25, 12], Operations: ['46-21=25', '9+3=12'] Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,36 unequal: No Solution Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 25*12=300, Resulting Numbers: [300] 300,36 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: 36:[9, 21, 43], Operations: ['46-3=43'] Exploring Operation: 43-9=34, Resulting Numbers: [21, 34] Generated Node #0,2,0: 36:[21, 34] Operation: 43-9=34 Exploring Operation: 21-9=12, Resulting Numbers: [43, 12] Generated Node #0,2,1: 36:[43, 12] Operation: 21-9=12 Exploring Operation: 9+21=30, Resulting Numbers: [43, 30] Generated Node #0,2,2: 36:[43, 30] Operation: 9+21=30 Exploring Operation: 43-21=22, Resulting Numbers: [9, 22] Generated Node #0,2,3: 36:[9, 22] Operation: 43-21=22 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 36:[9, 22], Operations: ['46-3=43', '43-21=22'] Exploring Operation: 9+22=31, Resulting Numbers: [31] 31,36 unequal: No Solution Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 9*22=198, Resulting Numbers: [198] 198,36 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: 36:[21, 34], Operations: ['46-3=43', '43-9=34'] Exploring Operation: 21+34=55, Resulting Numbers: [55] 55,36 unequal: No Solution Exploring Operation: 34-21=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 21*34=714, Resulting Numbers: [714] 714,36 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: 36:[43, 12], Operations: ['46-3=43', '21-9=12'] Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,36 unequal: No Solution Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,36 unequal: No Solution Exploring Operation: 43*12=516, Resulting Numbers: [516] 516,36 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: 36:[43, 30], Operations: ['46-3=43', '9+21=30'] Exploring Operation: 43-30=13, Resulting Numbers: [13] 13,36 unequal: No Solution Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,36 unequal: No Solution Exploring Operation: 43*30=1290, Resulting Numbers: [1290] 1290,36 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: 36:[46, 3, 12], Operations: ['21-9=12'] Exploring Operation: 46-3=43, Resulting Numbers: [12, 43] Generated Node #0,0,0: 36:[12, 43] Operation: 46-3=43 Exploring Operation: 12-3=9, Resulting Numbers: [46, 9] Generated Node #0,0,1: 36:[46, 9] Operation: 12-3=9 Exploring Operation: 46-12=34, Resulting Numbers: [3, 34] Generated Node #0,0,2: 36:[3, 34] Operation: 46-12=34 Exploring Operation: 3*12=36, Resulting Numbers: [46, 36] Generated Node #0,0,3: 36:[46, 36] Operation: 3*12=36 Moving to Node #0,0,2 Current State: 36:[3, 34], Operations: ['21-9=12', '46-12=34'] Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,36 unequal: No Solution Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,36 unequal: No Solution Exploring Operation: 3*34=102, Resulting Numbers: [102] 102,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[12, 43], Operations: ['21-9=12', '46-3=43'] Exploring Operation: 12+43=55, Resulting Numbers: [55] 55,36 unequal: No Solution Exploring Operation: 12*43=516, Resulting Numbers: [516] 516,36 unequal: No Solution Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,36 unequal: No Solution Moving to Node #0,0,3 Current State: 36:[46, 36], Operations: ['21-9=12', '3*12=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 46*36=1656, Resulting Numbers: [1656] 1656,36 unequal: No Solution Exploring Operation: 46+36=82, Resulting Numbers: [82] 82,36 unequal: No Solution Moving to Node #0,0,1 Current State: 36:[46, 9], Operations: ['21-9=12', '12-3=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,36 unequal: No Solution Exploring Operation: 46*9=414, Resulting Numbers: [414] 414,36 unequal: No Solution Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,36 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 38, 85, 67, 33 ]
89
[ "38+85=123", "67-33=34", "123-34=89" ]
Current State: 89:[38, 85, 67, 33], Operations: [] Exploring Operation: 38+85=123, Resulting Numbers: [67, 33, 123] Generated Node #2: [67, 33, 123] from Operation: 38+85=123 Current State: 89:[67, 33, 123], Operations: ['38+85=123'] Exploring Operation: 67-33=34, Resulting Numbers: [123, 34] Generated Node #3: [123, 34] from Operation: 67-33=34 Current State: 89:[123, 34], Operations: ['38+85=123', '67-33=34'] Exploring Operation: 123-34=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[38, 85, 67, 33], Operations: [] Exploring Operation: 38+33=71, Resulting Numbers: [85, 67, 71] Generated Node #0,0: 89:[85, 67, 71] Operation: 38+33=71 Moving to Node #0,0 Current State: 89:[85, 67, 71], Operations: ['38+33=71'] Exploring Operation: 67+71=138, Resulting Numbers: [85, 138] Generated Node #0,0,0: 89:[85, 138] Operation: 67+71=138 Moving to Node #0,0,0 Current State: 89:[85, 138], Operations: ['38+33=71', '67+71=138'] Exploring Operation: 138-85=53, Resulting Numbers: [53] 53,89 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 3, 87, 31, 33 ]
66
[ "87/3=29", "31-29=2", "33*2=66" ]
Current State: 66:[3, 87, 31, 33], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [31, 33, 29] Generated Node #2: [31, 33, 29] from Operation: 87/3=29 Current State: 66:[31, 33, 29], Operations: ['87/3=29'] Exploring Operation: 31-29=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 31-29=2 Current State: 66:[33, 2], Operations: ['87/3=29', '31-29=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[3, 87, 31, 33], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [31, 33, 29] Generated Node #0,0: 66:[31, 33, 29] Operation: 87/3=29 Moving to Node #0,0 Current State: 66:[31, 33, 29], Operations: ['87/3=29'] Exploring Operation: 31-29=2, Resulting Numbers: [33, 2] Generated Node #0,0,0: 66:[33, 2] Operation: 31-29=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 66:[33, 2], Operations: ['87/3=29', '31-29=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[3, 87, 31, 33], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [31, 33, 29] Generated Node #0,0: 66:[31, 33, 29] Operation: 87/3=29 Moving to Node #0,0 Current State: 66:[31, 33, 29], Operations: ['87/3=29'] Exploring Operation: 31-29=2, Resulting Numbers: [33, 2] Generated Node #0,0,0: 66:[33, 2] Operation: 31-29=2 Moving to Node #0,0,0 Current State: 66:[33, 2], Operations: ['87/3=29', '31-29=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 35, 25, 99, 2 ]
41
[ "35+25=60", "99+2=101", "101-60=41" ]
Current State: 41:[35, 25, 99, 2], Operations: [] Exploring Operation: 35+25=60, Resulting Numbers: [99, 2, 60] Generated Node #2: [99, 2, 60] from Operation: 35+25=60 Current State: 41:[99, 2, 60], Operations: ['35+25=60'] Exploring Operation: 99+2=101, Resulting Numbers: [60, 101] Generated Node #3: [60, 101] from Operation: 99+2=101 Current State: 41:[60, 101], Operations: ['35+25=60', '99+2=101'] Exploring Operation: 101-60=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[35, 25, 99, 2], Operations: [] Exploring Operation: 25*2=50, Resulting Numbers: [35, 99, 50] Generated Node #0,0: 41:[35, 99, 50] Operation: 25*2=50 Moving to Node #0,0 Current State: 41:[35, 99, 50], Operations: ['25*2=50'] Exploring Operation: 99-50=49, Resulting Numbers: [35, 49] Generated Node #0,0,0: 41:[35, 49] Operation: 99-50=49 Moving to Node #0,0,0 Current State: 41:[35, 49], Operations: ['25*2=50', '99-50=49'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,41 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 3, 1, 6, 62 ]
64
[ "3+1=4", "6+62=68", "68-4=64" ]
Current State: 64:[3, 1, 6, 62], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [6, 62, 4] Generated Node #2: [6, 62, 4] from Operation: 3+1=4 Current State: 64:[6, 62, 4], Operations: ['3+1=4'] Exploring Operation: 6+62=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 6+62=68 Current State: 64:[4, 68], Operations: ['3+1=4', '6+62=68'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[3, 1, 6, 62], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [6, 62, 4] Generated Node #0,0: 64:[6, 62, 4] Operation: 3+1=4 Exploring Operation: 6/3=2, Resulting Numbers: [1, 62, 2] Generated Node #0,1: 64:[1, 62, 2] Operation: 6/3=2 Moving to Node #0,1 Current State: 64:[1, 62, 2], Operations: ['6/3=2'] Exploring Operation: 1+62=63, Resulting Numbers: [2, 63] Generated Node #0,1,0: 64:[2, 63] Operation: 1+62=63 Exploring Operation: 62+2=64, Resulting Numbers: [1, 64] Generated Node #0,1,1: 64:[1, 64] Operation: 62+2=64 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[2, 63], Operations: ['6/3=2', '1+62=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,64 unequal: No Solution Exploring Operation: 2+63=65, Resulting Numbers: [65] 65,64 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:[1, 64], Operations: ['6/3=2', '62+2=64'] Exploring Operation: 64/1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[3, 1, 6, 62], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [1, 62, 2] Generated Node #0,1: 64:[1, 62, 2] Operation: 6/3=2 Moving to Node #0,1 Current State: 64:[1, 62, 2], Operations: ['6/3=2'] Exploring Operation: 62+2=64, Resulting Numbers: [1, 64] Generated Node #0,1,1: 64:[1, 64] Operation: 62+2=64 Moving to Node #0,1,1 Current State: 64:[1, 64], Operations: ['6/3=2', '62+2=64'] Exploring Operation: 64/1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 8, 90, 54, 9 ]
76
[ "90-8=82", "54/9=6", "82-6=76" ]
Current State: 76:[8, 90, 54, 9], Operations: [] Exploring Operation: 90-8=82, Resulting Numbers: [54, 9, 82] Generated Node #2: [54, 9, 82] from Operation: 90-8=82 Current State: 76:[54, 9, 82], Operations: ['90-8=82'] Exploring Operation: 54/9=6, Resulting Numbers: [82, 6] Generated Node #3: [82, 6] from Operation: 54/9=6 Current State: 76:[82, 6], Operations: ['90-8=82', '54/9=6'] Exploring Operation: 82-6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[8, 90, 54, 9], Operations: [] Exploring Operation: 90-54=36, Resulting Numbers: [8, 9, 36] Generated Node #0,0: 76:[8, 9, 36] Operation: 90-54=36 Moving to Node #0,0 Current State: 76:[8, 9, 36], Operations: ['90-54=36'] Exploring Operation: 9-8=1, Resulting Numbers: [36, 1] Generated Node #0,0,0: 76:[36, 1] Operation: 9-8=1 Moving to Node #0,0,0 Current State: 76:[36, 1], Operations: ['90-54=36', '9-8=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,76 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 97, 18, 5, 26 ]
94
[ "97+18=115", "26-5=21", "115-21=94" ]
Current State: 94:[97, 18, 5, 26], Operations: [] Exploring Operation: 97+18=115, Resulting Numbers: [5, 26, 115] Generated Node #2: [5, 26, 115] from Operation: 97+18=115 Current State: 94:[5, 26, 115], Operations: ['97+18=115'] Exploring Operation: 26-5=21, Resulting Numbers: [115, 21] Generated Node #3: [115, 21] from Operation: 26-5=21 Current State: 94:[115, 21], Operations: ['97+18=115', '26-5=21'] Exploring Operation: 115-21=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[97, 18, 5, 26], Operations: [] Exploring Operation: 18+26=44, Resulting Numbers: [97, 5, 44] Generated Node #0,0: 94:[97, 5, 44] Operation: 18+26=44 Exploring Operation: 26-18=8, Resulting Numbers: [97, 5, 8] Generated Node #0,1: 94:[97, 5, 8] Operation: 26-18=8 Moving to Node #0,0 Current State: 94:[97, 5, 44], Operations: ['18+26=44'] Exploring Operation: 97-5=92, Resulting Numbers: [44, 92] Generated Node #0,0,0: 94:[44, 92] Operation: 97-5=92 Exploring Operation: 5+44=49, Resulting Numbers: [97, 49] Generated Node #0,0,1: 94:[97, 49] Operation: 5+44=49 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 94:[44, 92], Operations: ['18+26=44', '97-5=92'] Exploring Operation: 44+92=136, Resulting Numbers: [136] 136,94 unequal: No Solution Exploring Operation: 92-44=48, Resulting Numbers: [48] 48,94 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: 94:[97, 49], Operations: ['18+26=44', '5+44=49'] Exploring Operation: 97-49=48, Resulting Numbers: [48] 48,94 unequal: No Solution Exploring Operation: 97+49=146, Resulting Numbers: [146] 146,94 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: 94:[97, 5, 8], Operations: ['26-18=8'] Exploring Operation: 97-5=92, Resulting Numbers: [8, 92] Generated Node #0,1,0: 94:[8, 92] Operation: 97-5=92 Exploring Operation: 8-5=3, Resulting Numbers: [97, 3] Generated Node #0,1,1: 94:[97, 3] Operation: 8-5=3 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 94:[97, 3], Operations: ['26-18=8', '8-5=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[97, 18, 5, 26], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [97, 5, 8] Generated Node #0,1: 94:[97, 5, 8] Operation: 26-18=8 Moving to Node #0,1 Current State: 94:[97, 5, 8], Operations: ['26-18=8'] Exploring Operation: 8-5=3, Resulting Numbers: [97, 3] Generated Node #0,1,1: 94:[97, 3] Operation: 8-5=3 Moving to Node #0,1,1 Current State: 94:[97, 3], Operations: ['26-18=8', '8-5=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
mult_heuristic
[ 6, 37, 14, 37 ]
20
[ "6+37=43", "37-14=23", "43-23=20" ]
Current State: 20:[6, 37, 14, 37], Operations: [] Exploring Operation: 6+37=43, Resulting Numbers: [14, 43] Generated Node #2: [14, 43] from Operation: 6+37=43 Current State: 20:[14, 43], Operations: ['6+37=43'] Exploring Operation: 37-14=23, Resulting Numbers: [43, 23] Generated Node #3: [43, 23] from Operation: 37-14=23 Current State: 20:[43, 23], Operations: ['6+37=43', '37-14=23'] Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
Current State: 20:[6, 37, 14, 37], Operations: [] Exploring Operation: 37-14=23, Resulting Numbers: [6, 37, 23] Generated Node #0,0: 20:[6, 37, 23] Operation: 37-14=23 Exploring Operation: 37-37=0, Resulting Numbers: [6, 14, 0] Generated Node #0,1: 20:[6, 14, 0] Operation: 37-37=0 Exploring Operation: 37/37=1, Resulting Numbers: [6, 14, 1] Generated Node #0,2: 20:[6, 14, 1] Operation: 37/37=1 Moving to Node #0,2 Current State: 20:[6, 14, 1], Operations: ['37/37=1'] Exploring Operation: 14-6=8, Resulting Numbers: [1, 8] Generated Node #0,2,0: 20:[1, 8] Operation: 14-6=8 Exploring Operation: 6-1=5, Resulting Numbers: [14, 5] Generated Node #0,2,1: 20:[14, 5] Operation: 6-1=5 Exploring Operation: 6+14=20, Resulting Numbers: [1, 20] Generated Node #0,2,2: 20:[1, 20] Operation: 6+14=20 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 20:[1, 20], Operations: ['37/37=1', '6+14=20'] Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Moving to Node #0 Current State: 20:[6, 37, 14, 37], Operations: [] Exploring Operation: 37/37=1, Resulting Numbers: [6, 14, 1] Generated Node #0,2: 20:[6, 14, 1] Operation: 37/37=1 Moving to Node #0,2 Current State: 20:[6, 14, 1], Operations: ['37/37=1'] Exploring Operation: 6+14=20, Resulting Numbers: [1, 20] Generated Node #0,2,2: 20:[1, 20] Operation: 6+14=20 Moving to Node #0,2,2 Current State: 20:[1, 20], Operations: ['37/37=1', '6+14=20'] Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 86, 88, 44, 18 ]
24
[ "88-86=2", "44-18=26", "26-2=24" ]
Current State: 24:[86, 88, 44, 18], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [44, 18, 2] Generated Node #2: [44, 18, 2] from Operation: 88-86=2 Current State: 24:[44, 18, 2], Operations: ['88-86=2'] Exploring Operation: 44-18=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 44-18=26 Current State: 24:[2, 26], Operations: ['88-86=2', '44-18=26'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[86, 88, 44, 18], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [88, 18, 42] Generated Node #0,0: 24:[88, 18, 42] Operation: 86-44=42 Exploring Operation: 88/44=2, Resulting Numbers: [86, 18, 2] Generated Node #0,1: 24:[86, 18, 2] Operation: 88/44=2 Exploring Operation: 88-86=2, Resulting Numbers: [44, 18, 2] Generated Node #0,2: 24:[44, 18, 2] Operation: 88-86=2 Moving to Node #0,2 Current State: 24:[44, 18, 2], Operations: ['88-86=2'] Exploring Operation: 44/2=22, Resulting Numbers: [18, 22] Generated Node #0,2,0: 24:[18, 22] Operation: 44/2=22 Exploring Operation: 18/2=9, Resulting Numbers: [44, 9] Generated Node #0,2,1: 24:[44, 9] Operation: 18/2=9 Exploring Operation: 44-18=26, Resulting Numbers: [2, 26] Generated Node #0,2,2: 24:[2, 26] Operation: 44-18=26 Moving to Node #0,1 Current State: 24:[86, 18, 2], Operations: ['88/44=2'] Exploring Operation: 86/2=43, Resulting Numbers: [18, 43] Generated Node #0,1,0: 24:[18, 43] Operation: 86/2=43 Exploring Operation: 18/2=9, Resulting Numbers: [86, 9] Generated Node #0,1,1: 24:[86, 9] Operation: 18/2=9 Exploring Operation: 86-18=68, Resulting Numbers: [2, 68] Generated Node #0,1,2: 24:[2, 68] Operation: 86-18=68 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 24:[18, 43], Operations: ['88/44=2', '86/2=43'] Exploring Operation: 18+43=61, Resulting Numbers: [61] 61,24 unequal: No Solution Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,24 unequal: No Solution Exploring Operation: 18*43=774, Resulting Numbers: [774] 774,24 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:[2, 68], Operations: ['88/44=2', '86-18=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,24 unequal: No Solution Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,24 unequal: No Solution Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,24 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 #0,1,1 Current State: 24:[86, 9], Operations: ['88/44=2', '18/2=9'] Exploring Operation: 86*9=774, Resulting Numbers: [774] 774,24 unequal: No Solution Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,24 unequal: No Solution Exploring Operation: 86+9=95, Resulting Numbers: [95] 95,24 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: 24:[88, 18, 42], Operations: ['86-44=42'] Exploring Operation: 88-42=46, Resulting Numbers: [18, 46] Generated Node #0,0,0: 24:[18, 46] Operation: 88-42=46 Exploring Operation: 88-18=70, Resulting Numbers: [42, 70] Generated Node #0,0,1: 24:[42, 70] Operation: 88-18=70 Exploring Operation: 42-18=24, Resulting Numbers: [88, 24] Generated Node #0,0,2: 24:[88, 24] Operation: 42-18=24 Moving to Node #0,2,2 Current State: 24:[2, 26], Operations: ['88-86=2', '44-18=26'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[86, 88, 44, 18], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [44, 18, 2] Generated Node #0,2: 24:[44, 18, 2] Operation: 88-86=2 Moving to Node #0,2 Current State: 24:[44, 18, 2], Operations: ['88-86=2'] Exploring Operation: 44-18=26, Resulting Numbers: [2, 26] Generated Node #0,2,2: 24:[2, 26] Operation: 44-18=26 Moving to Node #0,2,2 Current State: 24:[2, 26], Operations: ['88-86=2', '44-18=26'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
0.977431
hs_3
sum_heuristic
[ 97, 54, 77, 3 ]
38
[ "97-77=20", "54/3=18", "20+18=38" ]
Current State: 38:[97, 54, 77, 3], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [54, 3, 20] Generated Node #2: [54, 3, 20] from Operation: 97-77=20 Current State: 38:[54, 3, 20], Operations: ['97-77=20'] Exploring Operation: 54/3=18, Resulting Numbers: [20, 18] Generated Node #3: [20, 18] from Operation: 54/3=18 Current State: 38:[20, 18], Operations: ['97-77=20', '54/3=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[97, 54, 77, 3], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [54, 3, 20] Generated Node #0,0: 38:[54, 3, 20] Operation: 97-77=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 38:[54, 3, 20], Operations: ['97-77=20'] Exploring Operation: 54/3=18, Resulting Numbers: [20, 18] Generated Node #0,0,0: 38:[20, 18] Operation: 54/3=18 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 38:[20, 18], Operations: ['97-77=20', '54/3=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[97, 54, 77, 3], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [54, 3, 20] Generated Node #0,0: 38:[54, 3, 20] Operation: 97-77=20 Moving to Node #0,0 Current State: 38:[54, 3, 20], Operations: ['97-77=20'] Exploring Operation: 54/3=18, Resulting Numbers: [20, 18] Generated Node #0,0,0: 38:[20, 18] Operation: 54/3=18 Moving to Node #0,0,0 Current State: 38:[20, 18], Operations: ['97-77=20', '54/3=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 46, 73, 12, 44 ]
79
[ "46-44=2", "12/2=6", "73+6=79" ]
Current State: 79:[46, 73, 12, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [73, 12, 2] Generated Node #2: [73, 12, 2] from Operation: 46-44=2 Current State: 79:[73, 12, 2], Operations: ['46-44=2'] Exploring Operation: 12/2=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 12/2=6 Current State: 79:[73, 6], Operations: ['46-44=2', '12/2=6'] Exploring Operation: 73+6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[46, 73, 12, 44], Operations: [] Exploring Operation: 12+44=56, Resulting Numbers: [46, 73, 56] Generated Node #0,0: 79:[46, 73, 56] Operation: 12+44=56 Exploring Operation: 46+12=58, Resulting Numbers: [73, 44, 58] Generated Node #0,1: 79:[73, 44, 58] Operation: 46+12=58 Exploring Operation: 73+12=85, Resulting Numbers: [46, 44, 85] Generated Node #0,2: 79:[46, 44, 85] Operation: 73+12=85 Moving to Node #0,0 Current State: 79:[46, 73, 56], Operations: ['12+44=56'] Exploring Operation: 46+56=102, Resulting Numbers: [73, 102] Generated Node #0,0,0: 79:[73, 102] Operation: 46+56=102 Exploring Operation: 73-46=27, Resulting Numbers: [56, 27] Generated Node #0,0,1: 79:[56, 27] Operation: 73-46=27 Exploring Operation: 46+73=119, Resulting Numbers: [56, 119] Generated Node #0,0,2: 79:[56, 119] Operation: 46+73=119 Moving to Node #0,1 Current State: 79:[73, 44, 58], Operations: ['46+12=58'] Exploring Operation: 73+44=117, Resulting Numbers: [58, 117] Generated Node #0,1,0: 79:[58, 117] Operation: 73+44=117 Exploring Operation: 44+58=102, Resulting Numbers: [73, 102] Generated Node #0,1,1: 79:[73, 102] Operation: 44+58=102 Exploring Operation: 73-44=29, Resulting Numbers: [58, 29] Generated Node #0,1,2: 79:[58, 29] Operation: 73-44=29 Moving to Node #0,2 Current State: 79:[46, 44, 85], Operations: ['73+12=85'] Exploring Operation: 85-44=41, Resulting Numbers: [46, 41] Generated Node #0,2,0: 79:[46, 41] Operation: 85-44=41 Exploring Operation: 85-46=39, Resulting Numbers: [44, 39] Generated Node #0,2,1: 79:[44, 39] Operation: 85-46=39 Exploring Operation: 46+44=90, Resulting Numbers: [85, 90] Generated Node #0,2,2: 79:[85, 90] Operation: 46+44=90 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 79:[85, 90], Operations: ['73+12=85', '46+44=90'] Exploring Operation: 90-85=5, Resulting Numbers: [5] 5,79 unequal: No Solution Exploring Operation: 85+90=175, Resulting Numbers: [175] 175,79 unequal: No Solution Exploring Operation: 85*90=7650, Resulting Numbers: [7650] 7650,79 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 #0,2,0 Current State: 79:[46, 41], Operations: ['73+12=85', '85-44=41'] Exploring Operation: 46+41=87, Resulting Numbers: [87] 87,79 unequal: No Solution Exploring Operation: 46-41=5, Resulting Numbers: [5] 5,79 unequal: No Solution Exploring Operation: 46*41=1886, Resulting Numbers: [1886] 1886,79 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 #0,2,1 Current State: 79:[44, 39], Operations: ['73+12=85', '85-46=39'] Exploring Operation: 44*39=1716, Resulting Numbers: [1716] 1716,79 unequal: No Solution Exploring Operation: 44-39=5, Resulting Numbers: [5] 5,79 unequal: No Solution Exploring Operation: 44+39=83, Resulting Numbers: [83] 83,79 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: 79:[73, 102], Operations: ['12+44=56', '46+56=102'] Exploring Operation: 73*102=7446, Resulting Numbers: [7446] 7446,79 unequal: No Solution Exploring Operation: 102-73=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 73+102=175, Resulting Numbers: [175] 175,79 unequal: No Solution Moving to Node #0,1,1 Current State: 79:[73, 102], Operations: ['46+12=58', '44+58=102'] Exploring Operation: 73+102=175, Resulting Numbers: [175] 175,79 unequal: No Solution Exploring Operation: 102-73=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 73*102=7446, Resulting Numbers: [7446] 7446,79 unequal: No Solution Moving to Node #0,1,0 Current State: 79:[58, 117], Operations: ['46+12=58', '73+44=117'] Exploring Operation: 58+117=175, Resulting Numbers: [175] 175,79 unequal: No Solution Exploring Operation: 58*117=6786, Resulting Numbers: [6786] 6786,79 unequal: No Solution Exploring Operation: 117-58=59, Resulting Numbers: [59] 59,79 unequal: No Solution Moving to Node #0,0,2 Current State: 79:[56, 119], Operations: ['12+44=56', '46+73=119'] Exploring Operation: 56+119=175, Resulting Numbers: [175] 175,79 unequal: No Solution Exploring Operation: 56*119=6664, Resulting Numbers: [6664] 6664,79 unequal: No Solution Exploring Operation: 119-56=63, Resulting Numbers: [63] 63,79 unequal: No Solution Moving to Node #0,1,2 Current State: 79:[58, 29], Operations: ['46+12=58', '73-44=29'] Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 58/29=2, Resulting Numbers: [2] 2,79 unequal: No Solution Exploring Operation: 58+29=87, Resulting Numbers: [87] 87,79 unequal: No Solution Moving to Node #0,0,1 Current State: 79:[56, 27], Operations: ['12+44=56', '73-46=27'] Exploring Operation: 56*27=1512, Resulting Numbers: [1512] 1512,79 unequal: No Solution Exploring Operation: 56+27=83, Resulting Numbers: [83] 83,79 unequal: No Solution Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,79 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 8, 73, 1, 28 ]
53
[ "8+73=81", "1*28=28", "81-28=53" ]
Current State: 53:[8, 73, 1, 28], Operations: [] Exploring Operation: 8+73=81, Resulting Numbers: [1, 28, 81] Generated Node #2: [1, 28, 81] from Operation: 8+73=81 Current State: 53:[1, 28, 81], Operations: ['8+73=81'] Exploring Operation: 1*28=28, Resulting Numbers: [81, 28] Generated Node #3: [81, 28] from Operation: 1*28=28 Current State: 53:[81, 28], Operations: ['8+73=81', '1*28=28'] Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[8, 73, 1, 28], Operations: [] Exploring Operation: 73-8=65, Resulting Numbers: [1, 28, 65] Generated Node #0,0: 53:[1, 28, 65] Operation: 73-8=65 Moving to Node #0,0 Current State: 53:[1, 28, 65], Operations: ['73-8=65'] Exploring Operation: 1+28=29, Resulting Numbers: [65, 29] Generated Node #0,0,0: 53:[65, 29] Operation: 1+28=29 Moving to Node #0,0,0 Current State: 53:[65, 29], Operations: ['73-8=65', '1+28=29'] Exploring Operation: 65-29=36, Resulting Numbers: [36] 36,53 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 59, 75, 63, 22 ]
57
[ "75-59=16", "63-22=41", "16+41=57" ]
Current State: 57:[59, 75, 63, 22], Operations: [] Exploring Operation: 75-59=16, Resulting Numbers: [63, 22, 16] Generated Node #2: [63, 22, 16] from Operation: 75-59=16 Current State: 57:[63, 22, 16], Operations: ['75-59=16'] Exploring Operation: 63-22=41, Resulting Numbers: [16, 41] Generated Node #3: [16, 41] from Operation: 63-22=41 Current State: 57:[16, 41], Operations: ['75-59=16', '63-22=41'] Exploring Operation: 16+41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[59, 75, 63, 22], Operations: [] Exploring Operation: 63-22=41, Resulting Numbers: [59, 75, 41] Generated Node #0,0: 57:[59, 75, 41] Operation: 63-22=41 Exploring Operation: 75-63=12, Resulting Numbers: [59, 22, 12] Generated Node #0,1: 57:[59, 22, 12] Operation: 75-63=12 Exploring Operation: 63-59=4, Resulting Numbers: [75, 22, 4] Generated Node #0,2: 57:[75, 22, 4] Operation: 63-59=4 Exploring Operation: 75-59=16, Resulting Numbers: [63, 22, 16] Generated Node #0,3: 57:[63, 22, 16] Operation: 75-59=16 Exploring Operation: 75-22=53, Resulting Numbers: [59, 63, 53] Generated Node #0,4: 57:[59, 63, 53] Operation: 75-22=53 Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[59, 22, 12], Operations: ['75-63=12'] Exploring Operation: 22+12=34, Resulting Numbers: [59, 34] Generated Node #0,1,0: 57:[59, 34] Operation: 22+12=34 Exploring Operation: 59-22=37, Resulting Numbers: [12, 37] Generated Node #0,1,1: 57:[12, 37] Operation: 59-22=37 Exploring Operation: 22-12=10, Resulting Numbers: [59, 10] Generated Node #0,1,2: 57:[59, 10] Operation: 22-12=10 Exploring Operation: 59+12=71, Resulting Numbers: [22, 71] Generated Node #0,1,3: 57:[22, 71] Operation: 59+12=71 Exploring Operation: 59-12=47, Resulting Numbers: [22, 47] Generated Node #0,1,4: 57:[22, 47] Operation: 59-12=47 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 57:[59, 10], Operations: ['75-63=12', '22-12=10'] Exploring Operation: 59*10=590, Resulting Numbers: [590] 590,57 unequal: No Solution Exploring Operation: 59+10=69, Resulting Numbers: [69] 69,57 unequal: No Solution Exploring Operation: 59-10=49, Resulting Numbers: [49] 49,57 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 #0,1,4 Current State: 57:[22, 47], Operations: ['75-63=12', '59-12=47'] Exploring Operation: 47-22=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 22+47=69, Resulting Numbers: [69] 69,57 unequal: No Solution Exploring Operation: 22*47=1034, Resulting Numbers: [1034] 1034,57 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 #0,1,0 Current State: 57:[59, 34], Operations: ['75-63=12', '22+12=34'] Exploring Operation: 59*34=2006, Resulting Numbers: [2006] 2006,57 unequal: No Solution Exploring Operation: 59+34=93, Resulting Numbers: [93] 93,57 unequal: No Solution Exploring Operation: 59-34=25, Resulting Numbers: [25] 25,57 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 #0,1,3 Current State: 57:[22, 71], Operations: ['75-63=12', '59+12=71'] Exploring Operation: 22*71=1562, Resulting Numbers: [1562] 1562,57 unequal: No Solution Exploring Operation: 22+71=93, Resulting Numbers: [93] 93,57 unequal: No Solution Exploring Operation: 71-22=49, Resulting Numbers: [49] 49,57 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:[12, 37], Operations: ['75-63=12', '59-22=37'] Exploring Operation: 12+37=49, Resulting Numbers: [49] 49,57 unequal: No Solution Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 12*37=444, Resulting Numbers: [444] 444,57 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:[63, 22, 16], Operations: ['75-59=16'] Exploring Operation: 22-16=6, Resulting Numbers: [63, 6] Generated Node #0,3,0: 57:[63, 6] Operation: 22-16=6 Exploring Operation: 63+16=79, Resulting Numbers: [22, 79] Generated Node #0,3,1: 57:[22, 79] Operation: 63+16=79 Exploring Operation: 63-22=41, Resulting Numbers: [16, 41] Generated Node #0,3,2: 57:[16, 41] Operation: 63-22=41 Exploring Operation: 63-16=47, Resulting Numbers: [22, 47] Generated Node #0,3,3: 57:[22, 47] Operation: 63-16=47 Exploring Operation: 22+16=38, Resulting Numbers: [63, 38] Generated Node #0,3,4: 57:[63, 38] Operation: 22+16=38 Moving to Node #0,3,0 Current State: 57:[63, 6], Operations: ['75-59=16', '22-16=6'] Exploring Operation: 63*6=378, Resulting Numbers: [378] 378,57 unequal: No Solution Exploring Operation: 63+6=69, Resulting Numbers: [69] 69,57 unequal: No Solution Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[59, 75, 63, 22], Operations: [] Exploring Operation: 75-59=16, Resulting Numbers: [63, 22, 16] Generated Node #0,3: 57:[63, 22, 16] Operation: 75-59=16 Moving to Node #0,3 Current State: 57:[63, 22, 16], Operations: ['75-59=16'] Exploring Operation: 22-16=6, Resulting Numbers: [63, 6] Generated Node #0,3,0: 57:[63, 6] Operation: 22-16=6 Moving to Node #0,3,0 Current State: 57:[63, 6], Operations: ['75-59=16', '22-16=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.967882
hs_5
sum_heuristic
[ 6, 9, 12, 69 ]
25
[ "6+69=75", "12-9=3", "75/3=25" ]
Current State: 25:[6, 9, 12, 69], Operations: [] Exploring Operation: 6+69=75, Resulting Numbers: [9, 12, 75] Generated Node #2: [9, 12, 75] from Operation: 6+69=75 Current State: 25:[9, 12, 75], Operations: ['6+69=75'] Exploring Operation: 12-9=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 12-9=3 Current State: 25:[75, 3], Operations: ['6+69=75', '12-9=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[6, 9, 12, 69], Operations: [] Exploring Operation: 69-6=63, Resulting Numbers: [9, 12, 63] Generated Node #0,0: 25:[9, 12, 63] Operation: 69-6=63 Exploring Operation: 69-9=60, Resulting Numbers: [6, 12, 60] Generated Node #0,1: 25:[6, 12, 60] Operation: 69-9=60 Exploring Operation: 69-12=57, Resulting Numbers: [6, 9, 57] Generated Node #0,2: 25:[6, 9, 57] Operation: 69-12=57 Exploring Operation: 12-9=3, Resulting Numbers: [6, 69, 3] Generated Node #0,3: 25:[6, 69, 3] Operation: 12-9=3 Exploring Operation: 12-6=6, Resulting Numbers: [9, 69, 6] Generated Node #0,4: 25:[9, 69, 6] Operation: 12-6=6 Start Sub Search at level 1: Moving to Node #0,2 Current State: 25:[6, 9, 57], Operations: ['69-12=57'] Exploring Operation: 57-6=51, Resulting Numbers: [9, 51] Generated Node #0,2,0: 25:[9, 51] Operation: 57-6=51 Exploring Operation: 6+57=63, Resulting Numbers: [9, 63] Generated Node #0,2,1: 25:[9, 63] Operation: 6+57=63 Exploring Operation: 6+9=15, Resulting Numbers: [57, 15] Generated Node #0,2,2: 25:[57, 15] Operation: 6+9=15 Exploring Operation: 9-6=3, Resulting Numbers: [57, 3] Generated Node #0,2,3: 25:[57, 3] Operation: 9-6=3 Exploring Operation: 57-9=48, Resulting Numbers: [6, 48] Generated Node #0,2,4: 25:[6, 48] Operation: 57-9=48 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 25:[6, 48], Operations: ['69-12=57', '57-9=48'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 48/6=8, Resulting Numbers: [8] 8,25 unequal: No Solution Exploring Operation: 6*48=288, Resulting Numbers: [288] 288,25 unequal: No Solution Exploring Operation: 6+48=54, Resulting Numbers: [54] 54,25 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: 25:[9, 51], Operations: ['69-12=57', '57-6=51'] Exploring Operation: 9+51=60, Resulting Numbers: [60] 60,25 unequal: No Solution Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 9*51=459, Resulting Numbers: [459] 459,25 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: 25:[57, 3], Operations: ['69-12=57', '9-6=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,25 unequal: No Solution Exploring Operation: 57*3=171, Resulting Numbers: [171] 171,25 unequal: No Solution Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,25 unequal: No Solution Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,25 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: 25:[9, 63], Operations: ['69-12=57', '6+57=63'] Exploring Operation: 9+63=72, Resulting Numbers: [72] 72,25 unequal: No Solution Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,25 unequal: No Solution Exploring Operation: 63/9=7, Resulting Numbers: [7] 7,25 unequal: No Solution Exploring Operation: 9*63=567, Resulting Numbers: [567] 567,25 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: 25:[57, 15], Operations: ['69-12=57', '6+9=15'] Exploring Operation: 57-15=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 57*15=855, Resulting Numbers: [855] 855,25 unequal: No Solution Exploring Operation: 57+15=72, Resulting Numbers: [72] 72,25 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: 25:[6, 12, 60], Operations: ['69-9=60'] Exploring Operation: 60-12=48, Resulting Numbers: [6, 48] Generated Node #0,1,0: 25:[6, 48] Operation: 60-12=48 Exploring Operation: 60/6=10, Resulting Numbers: [12, 10] Generated Node #0,1,1: 25:[12, 10] Operation: 60/6=10 Exploring Operation: 60-6=54, Resulting Numbers: [12, 54] Generated Node #0,1,2: 25:[12, 54] Operation: 60-6=54 Exploring Operation: 60/12=5, Resulting Numbers: [6, 5] Generated Node #0,1,3: 25:[6, 5] Operation: 60/12=5 Exploring Operation: 12-6=6, Resulting Numbers: [60, 6] Generated Node #0,1,4: 25:[60, 6] Operation: 12-6=6 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 25:[6, 5], Operations: ['69-9=60', '60/12=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,25 unequal: No Solution Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,25 unequal: No Solution Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,25 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: 25:[12, 10], Operations: ['69-9=60', '60/6=10'] Exploring Operation: 12*10=120, Resulting Numbers: [120] 120,25 unequal: No Solution Exploring Operation: 12-10=2, Resulting Numbers: [2] 2,25 unequal: No Solution Exploring Operation: 12+10=22, Resulting Numbers: [22] 22,25 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: 25:[6, 48], Operations: ['69-9=60', '60-12=48'] Exploring Operation: 48/6=8, Resulting Numbers: [8] 8,25 unequal: No Solution Exploring Operation: 6*48=288, Resulting Numbers: [288] 288,25 unequal: No Solution Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 6+48=54, Resulting Numbers: [54] 54,25 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: 25:[12, 54], Operations: ['69-9=60', '60-6=54'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 12*54=648, Resulting Numbers: [648] 648,25 unequal: No Solution Exploring Operation: 12+54=66, Resulting Numbers: [66] 66,25 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 #0,1,4 Current State: 25:[60, 6], Operations: ['69-9=60', '12-6=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,25 unequal: No Solution Exploring Operation: 60*6=360, Resulting Numbers: [360] 360,25 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,25 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,25 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: 25:[6, 69, 3], Operations: ['12-9=3'] Exploring Operation: 6-3=3, Resulting Numbers: [69, 3] Generated Node #0,3,0: 25:[69, 3] Operation: 6-3=3 Exploring Operation: 69-6=63, Resulting Numbers: [3, 63] Generated Node #0,3,1: 25:[3, 63] Operation: 69-6=63 Exploring Operation: 6/3=2, Resulting Numbers: [69, 2] Generated Node #0,3,2: 25:[69, 2] Operation: 6/3=2 Exploring Operation: 69/3=23, Resulting Numbers: [6, 23] Generated Node #0,3,3: 25:[6, 23] Operation: 69/3=23 Exploring Operation: 69-3=66, Resulting Numbers: [6, 66] Generated Node #0,3,4: 25:[6, 66] Operation: 69-3=66 Moving to Node #0,3,3 Current State: 25:[6, 23], Operations: ['12-9=3', '69/3=23'] Exploring Operation: 6*23=138, Resulting Numbers: [138] 138,25 unequal: No Solution Exploring Operation: 6+23=29, Resulting Numbers: [29] 29,25 unequal: No Solution Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,25 unequal: No Solution Moving to Node #0,3,1 Current State: 25:[3, 63], Operations: ['12-9=3', '69-6=63'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,25 unequal: No Solution Exploring Operation: 3*63=189, Resulting Numbers: [189] 189,25 unequal: No Solution Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,25 unequal: No Solution Exploring Operation: 3+63=66, Resulting Numbers: [66] 66,25 unequal: No Solution Moving to Node #0,3,4 Current State: 25:[6, 66], Operations: ['12-9=3', '69-3=66'] Exploring Operation: 6+66=72, Resulting Numbers: [72] 72,25 unequal: No Solution Exploring Operation: 6*66=396, Resulting Numbers: [396] 396,25 unequal: No Solution Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,25 unequal: No Solution Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,25 unequal: No Solution Moving to Node #0,3,0 Current State: 25:[69, 3], Operations: ['12-9=3', '6-3=3'] Exploring Operation: 69*3=207, Resulting Numbers: [207] 207,25 unequal: No Solution Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,25 unequal: No Solution Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,25 unequal: No Solution Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,25 unequal: No Solution Moving to Node #0,3,2 Current State: 25:[69, 2], Operations: ['12-9=3', '6/3=2'] Exploring Operation: 69+2=71, Resulting Numbers: [71] 71,25 unequal: No Solution Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,25 unequal: No Solution Exploring Operation: 69*2=138, Resulting Numbers: [138] 138,25 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: 25:[9, 12, 63], Operations: ['69-6=63'] Exploring Operation: 12-9=3, Resulting Numbers: [63, 3] Generated Node #0,0,0: 25:[63, 3] Operation: 12-9=3 Exploring Operation: 63-12=51, Resulting Numbers: [9, 51] Generated Node #0,0,1: 25:[9, 51] Operation: 63-12=51 Exploring Operation: 9+12=21, Resulting Numbers: [63, 21] Generated Node #0,0,2: 25:[63, 21] Operation: 9+12=21 Exploring Operation: 63-9=54, Resulting Numbers: [12, 54] Generated Node #0,0,3: 25:[12, 54] Operation: 63-9=54 Exploring Operation: 63/9=7, Resulting Numbers: [12, 7] Generated Node #0,0,4: 25:[12, 7] Operation: 63/9=7 Moving to Node #0,0,4 Current State: 25:[12, 7], Operations: ['69-6=63', '63/9=7'] Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,25 unequal: No Solution Exploring Operation: 12-7=5, Resulting Numbers: [5] 5,25 unequal: No Solution Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,25 unequal: No Solution Moving to Node #0,0,1 Current State: 25:[9, 51], Operations: ['69-6=63', '63-12=51'] Exploring Operation: 9*51=459, Resulting Numbers: [459] 459,25 unequal: No Solution Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 9+51=60, Resulting Numbers: [60] 60,25 unequal: No Solution Moving to Node #0,0,3 Current State: 25:[12, 54], Operations: ['69-6=63', '63-9=54'] Exploring Operation: 12+54=66, Resulting Numbers: [66] 66,25 unequal: No Solution Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 12*54=648, Resulting Numbers: [648] 648,25 unequal: No Solution Moving to Node #0,0,0 Current State: 25:[63, 3], Operations: ['69-6=63', '12-9=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,25 unequal: No Solution Exploring Operation: 63*3=189, Resulting Numbers: [189] 189,25 unequal: No Solution Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,25 unequal: No Solution Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,25 unequal: No Solution Moving to Node #0,0,2 Current State: 25:[63, 21], Operations: ['69-6=63', '9+12=21'] Exploring Operation: 63/21=3, Resulting Numbers: [3] 3,25 unequal: No Solution Exploring Operation: 63-21=42, Resulting Numbers: [42] 42,25 unequal: No Solution Exploring Operation: 63+21=84, Resulting Numbers: [84] 84,25 unequal: No Solution Exploring Operation: 63*21=1323, Resulting Numbers: [1323] 1323,25 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: 25:[9, 69, 6], Operations: ['12-6=6'] Exploring Operation: 9+6=15, Resulting Numbers: [69, 15] Generated Node #0,4,0: 25:[69, 15] Operation: 9+6=15 Exploring Operation: 9-6=3, Resulting Numbers: [69, 3] Generated Node #0,4,1: 25:[69, 3] Operation: 9-6=3 Exploring Operation: 69-6=63, Resulting Numbers: [9, 63] Generated Node #0,4,2: 25:[9, 63] Operation: 69-6=63 Exploring Operation: 9+69=78, Resulting Numbers: [6, 78] Generated Node #0,4,3: 25:[6, 78] Operation: 9+69=78 Exploring Operation: 69-9=60, Resulting Numbers: [6, 60] Generated Node #0,4,4: 25:[6, 60] Operation: 69-9=60 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 25:[6, 60], Operations: ['12-6=6', '69-9=60'] Exploring Operation: 6*60=360, Resulting Numbers: [360] 360,25 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,25 unequal: No Solution Exploring Operation: 6+60=66, Resulting Numbers: [66] 66,25 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,25 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: 25:[9, 63], Operations: ['12-6=6', '69-6=63'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,25 unequal: No Solution Exploring Operation: 9+63=72, Resulting Numbers: [72] 72,25 unequal: No Solution Exploring Operation: 63/9=7, Resulting Numbers: [7] 7,25 unequal: No Solution Exploring Operation: 9*63=567, Resulting Numbers: [567] 567,25 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: 25:[69, 3], Operations: ['12-6=6', '9-6=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,25 unequal: No Solution Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,25 unequal: No Solution Exploring Operation: 69*3=207, Resulting Numbers: [207] 207,25 unequal: No Solution Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,25 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: 25:[69, 15], Operations: ['12-6=6', '9+6=15'] Exploring Operation: 69-15=54, Resulting Numbers: [54] 54,25 unequal: No Solution Exploring Operation: 69*15=1035, Resulting Numbers: [1035] 1035,25 unequal: No Solution Exploring Operation: 69+15=84, Resulting Numbers: [84] 84,25 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: 25:[6, 78], Operations: ['12-6=6', '9+69=78'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,25 unequal: No Solution Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,25 unequal: No Solution Exploring Operation: 6+78=84, Resulting Numbers: [84] 84,25 unequal: No Solution Exploring Operation: 6*78=468, Resulting Numbers: [468] 468,25 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
[ 45, 3, 39, 80 ]
66
[ "80-45=35", "3*35=105", "105-39=66" ]
Current State: 66:[45, 3, 39, 80], Operations: [] Exploring Operation: 80-45=35, Resulting Numbers: [3, 39, 35] Generated Node #2: [3, 39, 35] from Operation: 80-45=35 Current State: 66:[3, 39, 35], Operations: ['80-45=35'] Exploring Operation: 3*35=105, Resulting Numbers: [39, 105] Generated Node #3: [39, 105] from Operation: 3*35=105 Current State: 66:[39, 105], Operations: ['80-45=35', '3*35=105'] Exploring Operation: 105-39=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[45, 3, 39, 80], Operations: [] Exploring Operation: 45-39=6, Resulting Numbers: [3, 80, 6] Generated Node #0,0: 66:[3, 80, 6] Operation: 45-39=6 Exploring Operation: 80-39=41, Resulting Numbers: [45, 3, 41] Generated Node #0,1: 66:[45, 3, 41] Operation: 80-39=41 Exploring Operation: 45/3=15, Resulting Numbers: [39, 80, 15] Generated Node #0,2: 66:[39, 80, 15] Operation: 45/3=15 Exploring Operation: 80-45=35, Resulting Numbers: [3, 39, 35] Generated Node #0,3: 66:[3, 39, 35] Operation: 80-45=35 Start Sub Search at level 1: Moving to Node #0,3 Current State: 66:[3, 39, 35], Operations: ['80-45=35'] Exploring Operation: 39-3=36, Resulting Numbers: [35, 36] Generated Node #0,3,0: 66:[35, 36] Operation: 39-3=36 Exploring Operation: 35-3=32, Resulting Numbers: [39, 32] Generated Node #0,3,1: 66:[39, 32] Operation: 35-3=32 Exploring Operation: 39-35=4, Resulting Numbers: [3, 4] Generated Node #0,3,2: 66:[3, 4] Operation: 39-35=4 Exploring Operation: 39/3=13, Resulting Numbers: [35, 13] Generated Node #0,3,3: 66:[35, 13] Operation: 39/3=13 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 66:[3, 4], Operations: ['80-45=35', '39-35=4'] Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,66 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,66 unequal: No Solution Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,66 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 #0,3,3 Current State: 66:[35, 13], Operations: ['80-45=35', '39/3=13'] Exploring Operation: 35*13=455, Resulting Numbers: [455] 455,66 unequal: No Solution Exploring Operation: 35+13=48, Resulting Numbers: [48] 48,66 unequal: No Solution Exploring Operation: 35-13=22, Resulting Numbers: [22] 22,66 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 #0,3,0 Current State: 66:[35, 36], Operations: ['80-45=35', '39-3=36'] Exploring Operation: 35+36=71, Resulting Numbers: [71] 71,66 unequal: No Solution Exploring Operation: 35*36=1260, Resulting Numbers: [1260] 1260,66 unequal: No Solution Exploring Operation: 36-35=1, Resulting Numbers: [1] 1,66 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 #0,3,1 Current State: 66:[39, 32], Operations: ['80-45=35', '35-3=32'] Exploring Operation: 39*32=1248, Resulting Numbers: [1248] 1248,66 unequal: No Solution Exploring Operation: 39-32=7, Resulting Numbers: [7] 7,66 unequal: No Solution Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,66 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 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[3, 80, 6], Operations: ['45-39=6'] Exploring Operation: 6/3=2, Resulting Numbers: [80, 2] Generated Node #0,0,0: 66:[80, 2] Operation: 6/3=2 Exploring Operation: 80-6=74, Resulting Numbers: [3, 74] Generated Node #0,0,1: 66:[3, 74] Operation: 80-6=74 Exploring Operation: 80-3=77, Resulting Numbers: [6, 77] Generated Node #0,0,2: 66:[6, 77] Operation: 80-3=77 Exploring Operation: 6-3=3, Resulting Numbers: [80, 3] Generated Node #0,0,3: 66:[80, 3] Operation: 6-3=3 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 66:[3, 74], Operations: ['45-39=6', '80-6=74'] Exploring Operation: 3*74=222, Resulting Numbers: [222] 222,66 unequal: No Solution Exploring Operation: 3+74=77, Resulting Numbers: [77] 77,66 unequal: No Solution Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,66 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:[6, 77], Operations: ['45-39=6', '80-3=77'] Exploring Operation: 6*77=462, Resulting Numbers: [462] 462,66 unequal: No Solution Exploring Operation: 6+77=83, Resulting Numbers: [83] 83,66 unequal: No Solution Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,66 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 #0,0,0 Current State: 66:[80, 2], Operations: ['45-39=6', '6/3=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,66 unequal: No Solution Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,66 unequal: No Solution Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,66 unequal: No Solution Exploring Operation: 80*2=160, Resulting Numbers: [160] 160,66 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 #0,0,3 Current State: 66:[80, 3], Operations: ['45-39=6', '6-3=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,66 unequal: No Solution Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,66 unequal: No Solution Exploring Operation: 80*3=240, Resulting Numbers: [240] 240,66 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 Start Sub Search at level 1: Moving to Node #0,1 Current State: 66:[45, 3, 41], Operations: ['80-39=41'] Exploring Operation: 45/3=15, Resulting Numbers: [41, 15] Generated Node #0,1,0: 66:[41, 15] Operation: 45/3=15 Exploring Operation: 41-3=38, Resulting Numbers: [45, 38] Generated Node #0,1,1: 66:[45, 38] Operation: 41-3=38 Exploring Operation: 45-3=42, Resulting Numbers: [41, 42] Generated Node #0,1,2: 66:[41, 42] Operation: 45-3=42 Exploring Operation: 45-41=4, Resulting Numbers: [3, 4] Generated Node #0,1,3: 66:[3, 4] Operation: 45-41=4 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 66:[3, 4], Operations: ['80-39=41', '45-41=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,66 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,66 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,66 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 #0,1,0 Current State: 66:[41, 15], Operations: ['80-39=41', '45/3=15'] Exploring Operation: 41*15=615, Resulting Numbers: [615] 615,66 unequal: No Solution Exploring Operation: 41+15=56, Resulting Numbers: [56] 56,66 unequal: No Solution Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,66 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 #0,1,1 Current State: 66:[45, 38], Operations: ['80-39=41', '41-3=38'] Exploring Operation: 45-38=7, Resulting Numbers: [7] 7,66 unequal: No Solution Exploring Operation: 45+38=83, Resulting Numbers: [83] 83,66 unequal: No Solution Exploring Operation: 45*38=1710, Resulting Numbers: [1710] 1710,66 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 #0,1,2 Current State: 66:[41, 42], Operations: ['80-39=41', '45-3=42'] Exploring Operation: 42-41=1, Resulting Numbers: [1] 1,66 unequal: No Solution Exploring Operation: 41+42=83, Resulting Numbers: [83] 83,66 unequal: No Solution Exploring Operation: 41*42=1722, Resulting Numbers: [1722] 1722,66 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 Start Sub Search at level 1: Moving to Node #0,2 Current State: 66:[39, 80, 15], Operations: ['45/3=15'] Exploring Operation: 80-39=41, Resulting Numbers: [15, 41] Generated Node #0,2,0: 66:[15, 41] Operation: 80-39=41 Exploring Operation: 39-15=24, Resulting Numbers: [80, 24] Generated Node #0,2,1: 66:[80, 24] Operation: 39-15=24 Exploring Operation: 80-15=65, Resulting Numbers: [39, 65] Generated Node #0,2,2: 66:[39, 65] Operation: 80-15=65 Exploring Operation: 39+15=54, Resulting Numbers: [80, 54] Generated Node #0,2,3: 66:[80, 54] Operation: 39+15=54 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 66:[39, 65], Operations: ['45/3=15', '80-15=65'] Exploring Operation: 65-39=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 39*65=2535, Resulting Numbers: [2535] 2535,66 unequal: No Solution Exploring Operation: 39+65=104, Resulting Numbers: [104] 104,66 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 #0,2,0 Current State: 66:[15, 41], Operations: ['45/3=15', '80-39=41'] Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 15+41=56, Resulting Numbers: [56] 56,66 unequal: No Solution Exploring Operation: 15*41=615, Resulting Numbers: [615] 615,66 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 #0,2,1 Current State: 66:[80, 24], Operations: ['45/3=15', '39-15=24'] Exploring Operation: 80+24=104, Resulting Numbers: [104] 104,66 unequal: No Solution Exploring Operation: 80*24=1920, Resulting Numbers: [1920] 1920,66 unequal: No Solution Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,66 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 #0,2,3 Current State: 66:[80, 54], Operations: ['45/3=15', '39+15=54'] Exploring Operation: 80-54=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 80+54=134, Resulting Numbers: [134] 134,66 unequal: No Solution Exploring Operation: 80*54=4320, Resulting Numbers: [4320] 4320,66 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_4
sum_heuristic
[ 59, 89, 52, 70 ]
92
[ "89-59=30", "52+70=122", "122-30=92" ]
Current State: 92:[59, 89, 52, 70], Operations: [] Exploring Operation: 89-59=30, Resulting Numbers: [52, 70, 30] Generated Node #2: [52, 70, 30] from Operation: 89-59=30 Current State: 92:[52, 70, 30], Operations: ['89-59=30'] Exploring Operation: 52+70=122, Resulting Numbers: [30, 122] Generated Node #3: [30, 122] from Operation: 52+70=122 Current State: 92:[30, 122], Operations: ['89-59=30', '52+70=122'] Exploring Operation: 122-30=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[59, 89, 52, 70], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [59, 52, 19] Generated Node #0,0: 92:[59, 52, 19] Operation: 89-70=19 Exploring Operation: 70-52=18, Resulting Numbers: [59, 89, 18] Generated Node #0,1: 92:[59, 89, 18] Operation: 70-52=18 Exploring Operation: 59-52=7, Resulting Numbers: [89, 70, 7] Generated Node #0,2: 92:[89, 70, 7] Operation: 59-52=7 Exploring Operation: 70-59=11, Resulting Numbers: [89, 52, 11] Generated Node #0,3: 92:[89, 52, 11] Operation: 70-59=11 Start Sub Search at level 1: Moving to Node #0,3 Current State: 92:[89, 52, 11], Operations: ['70-59=11'] Exploring Operation: 89-52=37, Resulting Numbers: [11, 37] Generated Node #0,3,0: 92:[11, 37] Operation: 89-52=37 Exploring Operation: 52-11=41, Resulting Numbers: [89, 41] Generated Node #0,3,1: 92:[89, 41] Operation: 52-11=41 Exploring Operation: 89+11=100, Resulting Numbers: [52, 100] Generated Node #0,3,2: 92:[52, 100] Operation: 89+11=100 Exploring Operation: 89-11=78, Resulting Numbers: [52, 78] Generated Node #0,3,3: 92:[52, 78] Operation: 89-11=78 Moving to Node #0,3,1 Current State: 92:[89, 41], Operations: ['70-59=11', '52-11=41'] Exploring Operation: 89-41=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 89+41=130, Resulting Numbers: [130] 130,92 unequal: No Solution Exploring Operation: 89*41=3649, Resulting Numbers: [3649] 3649,92 unequal: No Solution Moving to Node #0,3,2 Current State: 92:[52, 100], Operations: ['70-59=11', '89+11=100'] Exploring Operation: 100-52=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 52*100=5200, Resulting Numbers: [5200] 5200,92 unequal: No Solution Exploring Operation: 52+100=152, Resulting Numbers: [152] 152,92 unequal: No Solution Moving to Node #0,3,0 Current State: 92:[11, 37], Operations: ['70-59=11', '89-52=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 11*37=407, Resulting Numbers: [407] 407,92 unequal: No Solution Exploring Operation: 37-11=26, Resulting Numbers: [26] 26,92 unequal: No Solution Moving to Node #0,3,3 Current State: 92:[52, 78], Operations: ['70-59=11', '89-11=78'] Exploring Operation: 52*78=4056, Resulting Numbers: [4056] 4056,92 unequal: No Solution Exploring Operation: 52+78=130, Resulting Numbers: [130] 130,92 unequal: No Solution Exploring Operation: 78-52=26, Resulting Numbers: [26] 26,92 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: 92:[59, 89, 18], Operations: ['70-52=18'] Exploring Operation: 89-59=30, Resulting Numbers: [18, 30] Generated Node #0,1,0: 92:[18, 30] Operation: 89-59=30 Exploring Operation: 89+18=107, Resulting Numbers: [59, 107] Generated Node #0,1,1: 92:[59, 107] Operation: 89+18=107 Exploring Operation: 59-18=41, Resulting Numbers: [89, 41] Generated Node #0,1,2: 92:[89, 41] Operation: 59-18=41 Exploring Operation: 59+18=77, Resulting Numbers: [89, 77] Generated Node #0,1,3: 92:[89, 77] Operation: 59+18=77 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 92:[89, 41], Operations: ['70-52=18', '59-18=41'] Exploring Operation: 89-41=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 89*41=3649, Resulting Numbers: [3649] 3649,92 unequal: No Solution Exploring Operation: 89+41=130, Resulting Numbers: [130] 130,92 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: 92:[18, 30], Operations: ['70-52=18', '89-59=30'] Exploring Operation: 18+30=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 18*30=540, Resulting Numbers: [540] 540,92 unequal: No Solution Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,92 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: 92:[89, 77], Operations: ['70-52=18', '59+18=77'] Exploring Operation: 89*77=6853, Resulting Numbers: [6853] 6853,92 unequal: No Solution Exploring Operation: 89+77=166, Resulting Numbers: [166] 166,92 unequal: No Solution Exploring Operation: 89-77=12, Resulting Numbers: [12] 12,92 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: 92:[59, 107], Operations: ['70-52=18', '89+18=107'] Exploring Operation: 59*107=6313, Resulting Numbers: [6313] 6313,92 unequal: No Solution Exploring Operation: 107-59=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 59+107=166, Resulting Numbers: [166] 166,92 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: 92:[59, 52, 19], Operations: ['89-70=19'] Exploring Operation: 59-52=7, Resulting Numbers: [19, 7] Generated Node #0,0,0: 92:[19, 7] Operation: 59-52=7 Exploring Operation: 59+19=78, Resulting Numbers: [52, 78] Generated Node #0,0,1: 92:[52, 78] Operation: 59+19=78 Exploring Operation: 59+52=111, Resulting Numbers: [19, 111] Generated Node #0,0,2: 92:[19, 111] Operation: 59+52=111 Exploring Operation: 59-19=40, Resulting Numbers: [52, 40] Generated Node #0,0,3: 92:[52, 40] Operation: 59-19=40 Moving to Node #0,0,0 Current State: 92:[19, 7], Operations: ['89-70=19', '59-52=7'] Exploring Operation: 19*7=133, Resulting Numbers: [133] 133,92 unequal: No Solution Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,92 unequal: No Solution Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,92 unequal: No Solution Moving to Node #0,0,3 Current State: 92:[52, 40], Operations: ['89-70=19', '59-19=40'] Exploring Operation: 52+40=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[59, 89, 52, 70], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [59, 52, 19] Generated Node #0,0: 92:[59, 52, 19] Operation: 89-70=19 Moving to Node #0,0 Current State: 92:[59, 52, 19], Operations: ['89-70=19'] Exploring Operation: 59-19=40, Resulting Numbers: [52, 40] Generated Node #0,0,3: 92:[52, 40] Operation: 59-19=40 Moving to Node #0,0,3 Current State: 92:[52, 40], Operations: ['89-70=19', '59-19=40'] Exploring Operation: 52+40=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Exit Sub Search at level 1
0.958333
hs_4
sum_heuristic
[ 22, 46, 81, 7 ]
50
[ "46-22=24", "81-7=74", "74-24=50" ]
Current State: 50:[22, 46, 81, 7], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [81, 7, 24] Generated Node #2: [81, 7, 24] from Operation: 46-22=24 Current State: 50:[81, 7, 24], Operations: ['46-22=24'] Exploring Operation: 81-7=74, Resulting Numbers: [24, 74] Generated Node #3: [24, 74] from Operation: 81-7=74 Current State: 50:[24, 74], Operations: ['46-22=24', '81-7=74'] Exploring Operation: 74-24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[22, 46, 81, 7], Operations: [] Exploring Operation: 81-7=74, Resulting Numbers: [22, 46, 74] Generated Node #0,0: 50:[22, 46, 74] Operation: 81-7=74 Exploring Operation: 81-22=59, Resulting Numbers: [46, 7, 59] Generated Node #0,1: 50:[46, 7, 59] Operation: 81-22=59 Exploring Operation: 81-46=35, Resulting Numbers: [22, 7, 35] Generated Node #0,2: 50:[22, 7, 35] Operation: 81-46=35 Exploring Operation: 46+7=53, Resulting Numbers: [22, 81, 53] Generated Node #0,3: 50:[22, 81, 53] Operation: 46+7=53 Exploring Operation: 46-22=24, Resulting Numbers: [81, 7, 24] Generated Node #0,4: 50:[81, 7, 24] Operation: 46-22=24 Start Sub Search at level 1: Moving to Node #0,1 Current State: 50:[46, 7, 59], Operations: ['81-22=59'] Exploring Operation: 59-46=13, Resulting Numbers: [7, 13] Generated Node #0,1,0: 50:[7, 13] Operation: 59-46=13 Exploring Operation: 46+7=53, Resulting Numbers: [59, 53] Generated Node #0,1,1: 50:[59, 53] Operation: 46+7=53 Exploring Operation: 46-7=39, Resulting Numbers: [59, 39] Generated Node #0,1,2: 50:[59, 39] Operation: 46-7=39 Exploring Operation: 7+59=66, Resulting Numbers: [46, 66] Generated Node #0,1,3: 50:[46, 66] Operation: 7+59=66 Exploring Operation: 59-7=52, Resulting Numbers: [46, 52] Generated Node #0,1,4: 50:[46, 52] Operation: 59-7=52 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 50:[7, 13], Operations: ['81-22=59', '59-46=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,50 unequal: No Solution Exploring Operation: 7+13=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,50 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 #0,1,4 Current State: 50:[46, 52], Operations: ['81-22=59', '59-7=52'] Exploring Operation: 46+52=98, Resulting Numbers: [98] 98,50 unequal: No Solution Exploring Operation: 52-46=6, Resulting Numbers: [6] 6,50 unequal: No Solution Exploring Operation: 46*52=2392, Resulting Numbers: [2392] 2392,50 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: 50:[59, 53], Operations: ['81-22=59', '46+7=53'] Exploring Operation: 59*53=3127, Resulting Numbers: [3127] 3127,50 unequal: No Solution Exploring Operation: 59-53=6, Resulting Numbers: [6] 6,50 unequal: No Solution Exploring Operation: 59+53=112, Resulting Numbers: [112] 112,50 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: 50:[59, 39], Operations: ['81-22=59', '46-7=39'] Exploring Operation: 59+39=98, Resulting Numbers: [98] 98,50 unequal: No Solution Exploring Operation: 59-39=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 59*39=2301, Resulting Numbers: [2301] 2301,50 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: 50:[46, 66], Operations: ['81-22=59', '7+59=66'] Exploring Operation: 46+66=112, Resulting Numbers: [112] 112,50 unequal: No Solution Exploring Operation: 46*66=3036, Resulting Numbers: [3036] 3036,50 unequal: No Solution Exploring Operation: 66-46=20, Resulting Numbers: [20] 20,50 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: 50:[22, 7, 35], Operations: ['81-46=35'] Exploring Operation: 22+35=57, Resulting Numbers: [7, 57] Generated Node #0,2,0: 50:[7, 57] Operation: 22+35=57 Exploring Operation: 35/7=5, Resulting Numbers: [22, 5] Generated Node #0,2,1: 50:[22, 5] Operation: 35/7=5 Exploring Operation: 35-7=28, Resulting Numbers: [22, 28] Generated Node #0,2,2: 50:[22, 28] Operation: 35-7=28 Exploring Operation: 7+35=42, Resulting Numbers: [22, 42] Generated Node #0,2,3: 50:[22, 42] Operation: 7+35=42 Exploring Operation: 35-22=13, Resulting Numbers: [7, 13] Generated Node #0,2,4: 50:[7, 13] Operation: 35-22=13 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 50:[22, 5], Operations: ['81-46=35', '35/7=5'] Exploring Operation: 22+5=27, Resulting Numbers: [27] 27,50 unequal: No Solution Exploring Operation: 22-5=17, Resulting Numbers: [17] 17,50 unequal: No Solution Exploring Operation: 22*5=110, Resulting Numbers: [110] 110,50 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: 50:[7, 13], Operations: ['81-46=35', '35-22=13'] Exploring Operation: 7+13=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,50 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,50 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: 50:[22, 28], Operations: ['81-46=35', '35-7=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[22, 46, 81, 7], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [22, 7, 35] Generated Node #0,2: 50:[22, 7, 35] Operation: 81-46=35 Moving to Node #0,2 Current State: 50:[22, 7, 35], Operations: ['81-46=35'] Exploring Operation: 35-7=28, Resulting Numbers: [22, 28] Generated Node #0,2,2: 50:[22, 28] Operation: 35-7=28 Moving to Node #0,2,2 Current State: 50:[22, 28], Operations: ['81-46=35', '35-7=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.96441
hs_5
sum_heuristic
[ 11, 24, 26, 13 ]
70
[ "11+24=35", "26/13=2", "35*2=70" ]
Current State: 70:[11, 24, 26, 13], Operations: [] Exploring Operation: 11+24=35, Resulting Numbers: [26, 13, 35] Generated Node #2: [26, 13, 35] from Operation: 11+24=35 Current State: 70:[26, 13, 35], Operations: ['11+24=35'] Exploring Operation: 26/13=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 26/13=2 Current State: 70:[35, 2], Operations: ['11+24=35', '26/13=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[11, 24, 26, 13], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [11, 13, 2] Generated Node #0,0: 70:[11, 13, 2] Operation: 26-24=2 Exploring Operation: 11+24=35, Resulting Numbers: [26, 13, 35] Generated Node #0,1: 70:[26, 13, 35] Operation: 11+24=35 Exploring Operation: 24-11=13, Resulting Numbers: [26, 13, 13] Generated Node #0,2: 70:[26, 13, 13] Operation: 24-11=13 Moving to Node #0,0 Current State: 70:[11, 13, 2], Operations: ['26-24=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13, 13] Generated Node #0,0,0: 70:[13, 13] Operation: 11+2=13 Exploring Operation: 13-11=2, Resulting Numbers: [2, 2] Generated Node #0,0,1: 70:[2, 2] Operation: 13-11=2 Exploring Operation: 11-2=9, Resulting Numbers: [13, 9] Generated Node #0,0,2: 70:[13, 9] Operation: 11-2=9 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 70:[2, 2], Operations: ['26-24=2', '13-11=2'] Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,70 unequal: No Solution Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,70 unequal: No Solution Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,70 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: 70:[13, 13], Operations: ['26-24=2', '11+2=13'] Exploring Operation: 13/13=1, Resulting Numbers: [1] 1,70 unequal: No Solution Exploring Operation: 13-13=0, Resulting Numbers: [0] 0,70 unequal: No Solution Exploring Operation: 13+13=26, Resulting Numbers: [26] 26,70 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: 70:[13, 9], Operations: ['26-24=2', '11-2=9'] Exploring Operation: 13*9=117, Resulting Numbers: [117] 117,70 unequal: No Solution Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,70 unequal: No Solution Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,70 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: 70:[26, 13, 35], Operations: ['11+24=35'] Exploring Operation: 35-26=9, Resulting Numbers: [13, 9] Generated Node #0,1,0: 70:[13, 9] Operation: 35-26=9 Exploring Operation: 26-13=13, Resulting Numbers: [35, 13] Generated Node #0,1,1: 70:[35, 13] Operation: 26-13=13 Exploring Operation: 26/13=2, Resulting Numbers: [35, 2] Generated Node #0,1,2: 70:[35, 2] Operation: 26/13=2 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 70:[35, 2], Operations: ['11+24=35', '26/13=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,70 unequal: No Solution Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,70 unequal: No Solution Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[11, 24, 26, 13], Operations: [] Exploring Operation: 11+24=35, Resulting Numbers: [26, 13, 35] Generated Node #0,1: 70:[26, 13, 35] Operation: 11+24=35 Moving to Node #0,1 Current State: 70:[26, 13, 35], Operations: ['11+24=35'] Exploring Operation: 26/13=2, Resulting Numbers: [35, 2] Generated Node #0,1,2: 70:[35, 2] Operation: 26/13=2 Moving to Node #0,1,2 Current State: 70:[35, 2], Operations: ['11+24=35', '26/13=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1
0.978299
hs_3
mult_heuristic
[ 26, 12, 43, 40 ]
62
[ "43-40=3", "12*3=36", "26+36=62" ]
Current State: 62:[26, 12, 43, 40], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [26, 12, 3] Generated Node #2: [26, 12, 3] from Operation: 43-40=3 Current State: 62:[26, 12, 3], Operations: ['43-40=3'] Exploring Operation: 12*3=36, Resulting Numbers: [26, 36] Generated Node #3: [26, 36] from Operation: 12*3=36 Current State: 62:[26, 36], Operations: ['43-40=3', '12*3=36'] Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[26, 12, 43, 40], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [26, 12, 3] Generated Node #0,0: 62:[26, 12, 3] Operation: 43-40=3 Exploring Operation: 43-12=31, Resulting Numbers: [26, 40, 31] Generated Node #0,1: 62:[26, 40, 31] Operation: 43-12=31 Moving to Node #0,1 Current State: 62:[26, 40, 31], Operations: ['43-12=31'] Exploring Operation: 26+40=66, Resulting Numbers: [31, 66] Generated Node #0,1,0: 62:[31, 66] Operation: 26+40=66 Exploring Operation: 40-26=14, Resulting Numbers: [31, 14] Generated Node #0,1,1: 62:[31, 14] Operation: 40-26=14 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 62:[31, 66], Operations: ['43-12=31', '26+40=66'] Exploring Operation: 31+66=97, Resulting Numbers: [97] 97,62 unequal: No Solution Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,62 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 #0,1,1 Current State: 62:[31, 14], Operations: ['43-12=31', '40-26=14'] Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,62 unequal: No Solution Exploring Operation: 31+14=45, Resulting Numbers: [45] 45,62 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: 62:[26, 12, 3], Operations: ['43-40=3'] Exploring Operation: 26+12=38, Resulting Numbers: [3, 38] Generated Node #0,0,0: 62:[3, 38] Operation: 26+12=38 Exploring Operation: 12/3=4, Resulting Numbers: [26, 4] Generated Node #0,0,1: 62:[26, 4] Operation: 12/3=4 Moving to Node #0,0,1 Current State: 62:[26, 4], Operations: ['43-40=3', '12/3=4'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,62 unequal: No Solution Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,62 unequal: No Solution Moving to Node #0,0,0 Current State: 62:[3, 38], Operations: ['43-40=3', '26+12=38'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,62 unequal: No Solution Exploring Operation: 3+38=41, Resulting Numbers: [41] 41,62 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 46, 87, 18, 71 ]
44
[ "46+87=133", "18+71=89", "133-89=44" ]
Current State: 44:[46, 87, 18, 71], Operations: [] Exploring Operation: 46+87=133, Resulting Numbers: [18, 71, 133] Generated Node #2: [18, 71, 133] from Operation: 46+87=133 Current State: 44:[18, 71, 133], Operations: ['46+87=133'] Exploring Operation: 18+71=89, Resulting Numbers: [133, 89] Generated Node #3: [133, 89] from Operation: 18+71=89 Current State: 44:[133, 89], Operations: ['46+87=133', '18+71=89'] Exploring Operation: 133-89=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[46, 87, 18, 71], Operations: [] Exploring Operation: 71-18=53, Resulting Numbers: [46, 87, 53] Generated Node #0,0: 44:[46, 87, 53] Operation: 71-18=53 Exploring Operation: 71-46=25, Resulting Numbers: [87, 18, 25] Generated Node #0,1: 44:[87, 18, 25] Operation: 71-46=25 Exploring Operation: 87-71=16, Resulting Numbers: [46, 18, 16] Generated Node #0,2: 44:[46, 18, 16] Operation: 87-71=16 Exploring Operation: 87-46=41, Resulting Numbers: [18, 71, 41] Generated Node #0,3: 44:[18, 71, 41] Operation: 87-46=41 Exploring Operation: 87-18=69, Resulting Numbers: [46, 71, 69] Generated Node #0,4: 44:[46, 71, 69] Operation: 87-18=69 Start Sub Search at level 1: Moving to Node #0,2 Current State: 44:[46, 18, 16], Operations: ['87-71=16'] Exploring Operation: 18-16=2, Resulting Numbers: [46, 2] Generated Node #0,2,0: 44:[46, 2] Operation: 18-16=2 Exploring Operation: 46-18=28, Resulting Numbers: [16, 28] Generated Node #0,2,1: 44:[16, 28] Operation: 46-18=28 Exploring Operation: 46-16=30, Resulting Numbers: [18, 30] Generated Node #0,2,2: 44:[18, 30] Operation: 46-16=30 Exploring Operation: 18+16=34, Resulting Numbers: [46, 34] Generated Node #0,2,3: 44:[46, 34] Operation: 18+16=34 Exploring Operation: 46+16=62, Resulting Numbers: [18, 62] Generated Node #0,2,4: 44:[18, 62] Operation: 46+16=62 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 44:[46, 2], Operations: ['87-71=16', '18-16=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[46, 87, 18, 71], Operations: [] Exploring Operation: 87-71=16, Resulting Numbers: [46, 18, 16] Generated Node #0,2: 44:[46, 18, 16] Operation: 87-71=16 Moving to Node #0,2 Current State: 44:[46, 18, 16], Operations: ['87-71=16'] Exploring Operation: 18-16=2, Resulting Numbers: [46, 2] Generated Node #0,2,0: 44:[46, 2] Operation: 18-16=2 Moving to Node #0,2,0 Current State: 44:[46, 2], Operations: ['87-71=16', '18-16=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 74, 50, 49, 96 ]
48
[ "74-49=25", "50/25=2", "96/2=48" ]
Current State: 48:[74, 50, 49, 96], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [50, 96, 25] Generated Node #2: [50, 96, 25] from Operation: 74-49=25 Current State: 48:[50, 96, 25], Operations: ['74-49=25'] Exploring Operation: 50/25=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 50/25=2 Current State: 48:[96, 2], Operations: ['74-49=25', '50/25=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[74, 50, 49, 96], Operations: [] Exploring Operation: 96-49=47, Resulting Numbers: [74, 50, 47] Generated Node #0,0: 48:[74, 50, 47] Operation: 96-49=47 Exploring Operation: 96-74=22, Resulting Numbers: [50, 49, 22] Generated Node #0,1: 48:[50, 49, 22] Operation: 96-74=22 Exploring Operation: 96-50=46, Resulting Numbers: [74, 49, 46] Generated Node #0,2: 48:[74, 49, 46] Operation: 96-50=46 Start Sub Search at level 1: Moving to Node #0,1 Current State: 48:[50, 49, 22], Operations: ['96-74=22'] Exploring Operation: 50-49=1, Resulting Numbers: [22, 1] Generated Node #0,1,0: 48:[22, 1] Operation: 50-49=1 Exploring Operation: 50-22=28, Resulting Numbers: [49, 28] Generated Node #0,1,1: 48:[49, 28] Operation: 50-22=28 Exploring Operation: 49-22=27, Resulting Numbers: [50, 27] Generated Node #0,1,2: 48:[50, 27] Operation: 49-22=27 Moving to Node #0,1,0 Current State: 48:[22, 1], Operations: ['96-74=22', '50-49=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,48 unequal: No Solution Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,48 unequal: No Solution Exploring Operation: 22/1=22, Resulting Numbers: [22] 22,48 unequal: No Solution Moving to Node #0,1,1 Current State: 48:[49, 28], Operations: ['96-74=22', '50-22=28'] Exploring Operation: 49+28=77, Resulting Numbers: [77] 77,48 unequal: No Solution Exploring Operation: 49-28=21, Resulting Numbers: [21] 21,48 unequal: No Solution Exploring Operation: 49*28=1372, Resulting Numbers: [1372] 1372,48 unequal: No Solution Moving to Node #0,1,2 Current State: 48:[50, 27], Operations: ['96-74=22', '49-22=27'] Exploring Operation: 50*27=1350, Resulting Numbers: [1350] 1350,48 unequal: No Solution Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,48 unequal: No Solution Exploring Operation: 50+27=77, Resulting Numbers: [77] 77,48 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 #0,0 Current State: 48:[74, 50, 47], Operations: ['96-49=47'] Exploring Operation: 74-47=27, Resulting Numbers: [50, 27] Generated Node #0,0,0: 48:[50, 27] Operation: 74-47=27 Exploring Operation: 50-47=3, Resulting Numbers: [74, 3] Generated Node #0,0,1: 48:[74, 3] Operation: 50-47=3 Exploring Operation: 74-50=24, Resulting Numbers: [47, 24] Generated Node #0,0,2: 48:[47, 24] Operation: 74-50=24 Moving to Node #0,0,2 Current State: 48:[47, 24], Operations: ['96-49=47', '74-50=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,48 unequal: No Solution Exploring Operation: 47*24=1128, Resulting Numbers: [1128] 1128,48 unequal: No Solution Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,48 unequal: No Solution Moving to Node #0,0,0 Current State: 48:[50, 27], Operations: ['96-49=47', '74-47=27'] Exploring Operation: 50+27=77, Resulting Numbers: [77] 77,48 unequal: No Solution Exploring Operation: 50*27=1350, Resulting Numbers: [1350] 1350,48 unequal: No Solution Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,48 unequal: No Solution Moving to Node #0,0,1 Current State: 48:[74, 3], Operations: ['96-49=47', '50-47=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,48 unequal: No Solution Exploring Operation: 74*3=222, Resulting Numbers: [222] 222,48 unequal: No Solution Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,48 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 #0,2 Current State: 48:[74, 49, 46], Operations: ['96-50=46'] Exploring Operation: 74-49=25, Resulting Numbers: [46, 25] Generated Node #0,2,0: 48:[46, 25] Operation: 74-49=25 Exploring Operation: 74-46=28, Resulting Numbers: [49, 28] Generated Node #0,2,1: 48:[49, 28] Operation: 74-46=28 Exploring Operation: 49-46=3, Resulting Numbers: [74, 3] Generated Node #0,2,2: 48:[74, 3] Operation: 49-46=3 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 48:[46, 25], Operations: ['96-50=46', '74-49=25'] Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,48 unequal: No Solution Exploring Operation: 46*25=1150, Resulting Numbers: [1150] 1150,48 unequal: No Solution Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,48 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: 48:[49, 28], Operations: ['96-50=46', '74-46=28'] Exploring Operation: 49-28=21, Resulting Numbers: [21] 21,48 unequal: No Solution Exploring Operation: 49*28=1372, Resulting Numbers: [1372] 1372,48 unequal: No Solution Exploring Operation: 49+28=77, Resulting Numbers: [77] 77,48 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: 48:[74, 3], Operations: ['96-50=46', '49-46=3'] Exploring Operation: 74*3=222, Resulting Numbers: [222] 222,48 unequal: No Solution Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,48 unequal: No Solution Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,48 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_3
sum_heuristic
[ 91, 70, 78, 58 ]
41
[ "91-70=21", "78-58=20", "21+20=41" ]
Current State: 41:[91, 70, 78, 58], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [78, 58, 21] Generated Node #2: [78, 58, 21] from Operation: 91-70=21 Current State: 41:[78, 58, 21], Operations: ['91-70=21'] Exploring Operation: 78-58=20, Resulting Numbers: [21, 20] Generated Node #3: [21, 20] from Operation: 78-58=20 Current State: 41:[21, 20], Operations: ['91-70=21', '78-58=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[91, 70, 78, 58], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [78, 58, 21] Generated Node #0,0: 41:[78, 58, 21] Operation: 91-70=21 Exploring Operation: 91-78=13, Resulting Numbers: [70, 58, 13] Generated Node #0,1: 41:[70, 58, 13] Operation: 91-78=13 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[78, 58, 21], Operations: ['91-70=21'] Exploring Operation: 78-58=20, Resulting Numbers: [21, 20] Generated Node #0,0,0: 41:[21, 20] Operation: 78-58=20 Exploring Operation: 78-21=57, Resulting Numbers: [58, 57] Generated Node #0,0,1: 41:[58, 57] Operation: 78-21=57 Moving to Node #0,0,1 Current State: 41:[58, 57], Operations: ['91-70=21', '78-21=57'] Exploring Operation: 58+57=115, Resulting Numbers: [115] 115,41 unequal: No Solution Exploring Operation: 58-57=1, Resulting Numbers: [1] 1,41 unequal: No Solution Moving to Node #0,0,0 Current State: 41:[21, 20], Operations: ['91-70=21', '78-58=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[91, 70, 78, 58], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [78, 58, 21] Generated Node #0,0: 41:[78, 58, 21] Operation: 91-70=21 Moving to Node #0,0 Current State: 41:[78, 58, 21], Operations: ['91-70=21'] Exploring Operation: 78-58=20, Resulting Numbers: [21, 20] Generated Node #0,0,0: 41:[21, 20] Operation: 78-58=20 Moving to Node #0,0,0 Current State: 41:[21, 20], Operations: ['91-70=21', '78-58=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 39, 2, 67, 70 ]
81
[ "39*2=78", "70-67=3", "78+3=81" ]
Current State: 81:[39, 2, 67, 70], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [67, 70, 78] Generated Node #2: [67, 70, 78] from Operation: 39*2=78 Current State: 81:[67, 70, 78], Operations: ['39*2=78'] Exploring Operation: 70-67=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 70-67=3 Current State: 81:[78, 3], Operations: ['39*2=78', '70-67=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[39, 2, 67, 70], Operations: [] Exploring Operation: 67-39=28, Resulting Numbers: [2, 70, 28] Generated Node #0,0: 81:[2, 70, 28] Operation: 67-39=28 Moving to Node #0,0 Current State: 81:[2, 70, 28], Operations: ['67-39=28'] Exploring Operation: 70/2=35, Resulting Numbers: [28, 35] Generated Node #0,0,0: 81:[28, 35] Operation: 70/2=35 Moving to Node #0,0,0 Current State: 81:[28, 35], Operations: ['67-39=28', '70/2=35'] Exploring Operation: 35-28=7, Resulting Numbers: [7] 7,81 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 39, 52, 19, 79 ]
31
[ "39+52=91", "79-19=60", "91-60=31" ]
Current State: 31:[39, 52, 19, 79], Operations: [] Exploring Operation: 39+52=91, Resulting Numbers: [19, 79, 91] Generated Node #2: [19, 79, 91] from Operation: 39+52=91 Current State: 31:[19, 79, 91], Operations: ['39+52=91'] Exploring Operation: 79-19=60, Resulting Numbers: [91, 60] Generated Node #3: [91, 60] from Operation: 79-19=60 Current State: 31:[91, 60], Operations: ['39+52=91', '79-19=60'] Exploring Operation: 91-60=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[39, 52, 19, 79], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [39, 19, 27] Generated Node #0,0: 31:[39, 19, 27] Operation: 79-52=27 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[39, 19, 27], Operations: ['79-52=27'] Exploring Operation: 39-19=20, Resulting Numbers: [27, 20] Generated Node #0,0,0: 31:[27, 20] Operation: 39-19=20 Moving to Node #0,0,0 Current State: 31:[27, 20], Operations: ['79-52=27', '39-19=20'] Exploring Operation: 27+20=47, Resulting Numbers: [47] 47,31 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
[ 86, 88, 34, 11 ]
12
[ "88-86=2", "11*2=22", "34-22=12" ]
Current State: 12:[86, 88, 34, 11], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [34, 11, 2] Generated Node #2: [34, 11, 2] from Operation: 88-86=2 Current State: 12:[34, 11, 2], Operations: ['88-86=2'] Exploring Operation: 11*2=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 11*2=22 Current State: 12:[34, 22], Operations: ['88-86=2', '11*2=22'] Exploring Operation: 34-22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[86, 88, 34, 11], Operations: [] Exploring Operation: 88-34=54, Resulting Numbers: [86, 11, 54] Generated Node #0,0: 12:[86, 11, 54] Operation: 88-34=54 Exploring Operation: 88-86=2, Resulting Numbers: [34, 11, 2] Generated Node #0,1: 12:[34, 11, 2] Operation: 88-86=2 Exploring Operation: 86-34=52, Resulting Numbers: [88, 11, 52] Generated Node #0,2: 12:[88, 11, 52] Operation: 86-34=52 Exploring Operation: 88/11=8, Resulting Numbers: [86, 34, 8] Generated Node #0,3: 12:[86, 34, 8] Operation: 88/11=8 Moving to Node #0,1 Current State: 12:[34, 11, 2], Operations: ['88-86=2'] Exploring Operation: 11+2=13, Resulting Numbers: [34, 13] Generated Node #0,1,0: 12:[34, 13] Operation: 11+2=13 Exploring Operation: 34-11=23, Resulting Numbers: [2, 23] Generated Node #0,1,1: 12:[2, 23] Operation: 34-11=23 Exploring Operation: 34/2=17, Resulting Numbers: [11, 17] Generated Node #0,1,2: 12:[11, 17] Operation: 34/2=17 Exploring Operation: 34-2=32, Resulting Numbers: [11, 32] Generated Node #0,1,3: 12:[11, 32] Operation: 34-2=32 Moving to Node #0,3 Current State: 12:[86, 34, 8], Operations: ['88/11=8'] Exploring Operation: 86-34=52, Resulting Numbers: [8, 52] Generated Node #0,3,0: 12:[8, 52] Operation: 86-34=52 Exploring Operation: 34-8=26, Resulting Numbers: [86, 26] Generated Node #0,3,1: 12:[86, 26] Operation: 34-8=26 Exploring Operation: 86-8=78, Resulting Numbers: [34, 78] Generated Node #0,3,2: 12:[34, 78] Operation: 86-8=78 Exploring Operation: 86+8=94, Resulting Numbers: [34, 94] Generated Node #0,3,3: 12:[34, 94] Operation: 86+8=94 Moving to Node #0,2 Current State: 12:[88, 11, 52], Operations: ['86-34=52'] Exploring Operation: 88/11=8, Resulting Numbers: [52, 8] Generated Node #0,2,0: 12:[52, 8] Operation: 88/11=8 Exploring Operation: 88-52=36, Resulting Numbers: [11, 36] Generated Node #0,2,1: 12:[11, 36] Operation: 88-52=36 Exploring Operation: 52-11=41, Resulting Numbers: [88, 41] Generated Node #0,2,2: 12:[88, 41] Operation: 52-11=41 Exploring Operation: 88-11=77, Resulting Numbers: [52, 77] Generated Node #0,2,3: 12:[52, 77] Operation: 88-11=77 Moving to Node #0,0 Current State: 12:[86, 11, 54], Operations: ['88-34=54'] Exploring Operation: 54-11=43, Resulting Numbers: [86, 43] Generated Node #0,0,0: 12:[86, 43] Operation: 54-11=43 Exploring Operation: 86+11=97, Resulting Numbers: [54, 97] Generated Node #0,0,1: 12:[54, 97] Operation: 86+11=97 Exploring Operation: 86-11=75, Resulting Numbers: [54, 75] Generated Node #0,0,2: 12:[54, 75] Operation: 86-11=75 Exploring Operation: 86-54=32, Resulting Numbers: [11, 32] Generated Node #0,0,3: 12:[11, 32] Operation: 86-54=32 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 12:[11, 32], Operations: ['88-34=54', '86-54=32'] Exploring Operation: 11*32=352, Resulting Numbers: [352] 352,12 unequal: No Solution Exploring Operation: 11+32=43, Resulting Numbers: [43] 43,12 unequal: No Solution Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,12 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: 12:[86, 43], Operations: ['88-34=54', '54-11=43'] Exploring Operation: 86-43=43, Resulting Numbers: [43] 43,12 unequal: No Solution Exploring Operation: 86+43=129, Resulting Numbers: [129] 129,12 unequal: No Solution Exploring Operation: 86/43=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 86*43=3698, Resulting Numbers: [3698] 3698,12 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: 12:[54, 75], Operations: ['88-34=54', '86-11=75'] Exploring Operation: 54+75=129, Resulting Numbers: [129] 129,12 unequal: No Solution Exploring Operation: 54*75=4050, Resulting Numbers: [4050] 4050,12 unequal: No Solution Exploring Operation: 75-54=21, Resulting Numbers: [21] 21,12 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: 12:[54, 97], Operations: ['88-34=54', '86+11=97'] Exploring Operation: 97-54=43, Resulting Numbers: [43] 43,12 unequal: No Solution Exploring Operation: 54+97=151, Resulting Numbers: [151] 151,12 unequal: No Solution Exploring Operation: 54*97=5238, Resulting Numbers: [5238] 5238,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,2 Current State: 12:[11, 17], Operations: ['88-86=2', '34/2=17'] Exploring Operation: 11*17=187, Resulting Numbers: [187] 187,12 unequal: No Solution Exploring Operation: 17-11=6, Resulting Numbers: [6] 6,12 unequal: No Solution Exploring Operation: 11+17=28, Resulting Numbers: [28] 28,12 unequal: No Solution Moving to Node #0,1,1 Current State: 12:[2, 23], Operations: ['88-86=2', '34-11=23'] Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,12 unequal: No Solution Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,12 unequal: No Solution Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,12 unequal: No Solution Moving to Node #0,1,3 Current State: 12:[11, 32], Operations: ['88-86=2', '34-2=32'] Exploring Operation: 11*32=352, Resulting Numbers: [352] 352,12 unequal: No Solution Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,12 unequal: No Solution Exploring Operation: 11+32=43, Resulting Numbers: [43] 43,12 unequal: No Solution Moving to Node #0,1,0 Current State: 12:[34, 13], Operations: ['88-86=2', '11+2=13'] Exploring Operation: 34+13=47, Resulting Numbers: [47] 47,12 unequal: No Solution Exploring Operation: 34*13=442, Resulting Numbers: [442] 442,12 unequal: No Solution Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,12 unequal: No Solution Moving to Node #0,2,1 Current State: 12:[11, 36], Operations: ['86-34=52', '88-52=36'] Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,12 unequal: No Solution Exploring Operation: 11+36=47, Resulting Numbers: [47] 47,12 unequal: No Solution Exploring Operation: 11*36=396, Resulting Numbers: [396] 396,12 unequal: No Solution Moving to Node #0,3,0 Current State: 12:[8, 52], Operations: ['88/11=8', '86-34=52'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,12 unequal: No Solution Exploring Operation: 8*52=416, Resulting Numbers: [416] 416,12 unequal: No Solution Exploring Operation: 8+52=60, Resulting Numbers: [60] 60,12 unequal: No Solution Moving to Node #0,2,0 Current State: 12:[52, 8], Operations: ['86-34=52', '88/11=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,12 unequal: No Solution Exploring Operation: 52*8=416, Resulting Numbers: [416] 416,12 unequal: No Solution Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,12 unequal: No Solution Moving to Node #0,3,2 Current State: 12:[34, 78], Operations: ['88/11=8', '86-8=78'] Exploring Operation: 34+78=112, Resulting Numbers: [112] 112,12 unequal: No Solution Exploring Operation: 34*78=2652, Resulting Numbers: [2652] 2652,12 unequal: No Solution Exploring Operation: 78-34=44, Resulting Numbers: [44] 44,12 unequal: No Solution Moving to Node #0,3,1 Current State: 12:[86, 26], Operations: ['88/11=8', '34-8=26'] Exploring Operation: 86-26=60, Resulting Numbers: [60] 60,12 unequal: No Solution Exploring Operation: 86*26=2236, Resulting Numbers: [2236] 2236,12 unequal: No Solution Exploring Operation: 86+26=112, Resulting Numbers: [112] 112,12 unequal: No Solution Moving to Node #0,3,3 Current State: 12:[34, 94], Operations: ['88/11=8', '86+8=94'] Exploring Operation: 94-34=60, Resulting Numbers: [60] 60,12 unequal: No Solution Exploring Operation: 34*94=3196, Resulting Numbers: [3196] 3196,12 unequal: No Solution Exploring Operation: 34+94=128, Resulting Numbers: [128] 128,12 unequal: No Solution Moving to Node #0,2,2 Current State: 12:[88, 41], Operations: ['86-34=52', '52-11=41'] Exploring Operation: 88-41=47, Resulting Numbers: [47] 47,12 unequal: No Solution Exploring Operation: 88*41=3608, Resulting Numbers: [3608] 3608,12 unequal: No Solution Exploring Operation: 88+41=129, Resulting Numbers: [129] 129,12 unequal: No Solution Moving to Node #0,2,3 Current State: 12:[52, 77], Operations: ['86-34=52', '88-11=77'] Exploring Operation: 52+77=129, Resulting Numbers: [129] 129,12 unequal: No Solution Exploring Operation: 77-52=25, Resulting Numbers: [25] 25,12 unequal: No Solution Exploring Operation: 52*77=4004, Resulting Numbers: [4004] 4004,12 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 7, 37, 36, 25 ]
35
[ "25-7=18", "36/18=2", "37-2=35" ]
Current State: 35:[7, 37, 36, 25], Operations: [] Exploring Operation: 25-7=18, Resulting Numbers: [37, 36, 18] Generated Node #2: [37, 36, 18] from Operation: 25-7=18 Current State: 35:[37, 36, 18], Operations: ['25-7=18'] Exploring Operation: 36/18=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 36/18=2 Current State: 35:[37, 2], Operations: ['25-7=18', '36/18=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[7, 37, 36, 25], Operations: [] Exploring Operation: 37-25=12, Resulting Numbers: [7, 36, 12] Generated Node #0,0: 35:[7, 36, 12] Operation: 37-25=12 Exploring Operation: 36-25=11, Resulting Numbers: [7, 37, 11] Generated Node #0,1: 35:[7, 37, 11] Operation: 36-25=11 Exploring Operation: 7+25=32, Resulting Numbers: [37, 36, 32] Generated Node #0,2: 35:[37, 36, 32] Operation: 7+25=32 Moving to Node #0,0 Current State: 35:[7, 36, 12], Operations: ['37-25=12'] Exploring Operation: 36/12=3, Resulting Numbers: [7, 3] Generated Node #0,0,0: 35:[7, 3] Operation: 36/12=3 Exploring Operation: 36-7=29, Resulting Numbers: [12, 29] Generated Node #0,0,1: 35:[12, 29] Operation: 36-7=29 Exploring Operation: 12-7=5, Resulting Numbers: [36, 5] Generated Node #0,0,2: 35:[36, 5] Operation: 12-7=5 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 35:[36, 5], Operations: ['37-25=12', '12-7=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,35 unequal: No Solution Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,35 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: 35:[7, 3], Operations: ['37-25=12', '36/12=3'] Exploring Operation: 7+3=10, Resulting Numbers: [10] 10,35 unequal: No Solution Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,35 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: 35:[12, 29], Operations: ['37-25=12', '36-7=29'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 12+29=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 12*29=348, Resulting Numbers: [348] 348,35 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: 35:[7, 37, 11], Operations: ['36-25=11'] Exploring Operation: 37-11=26, Resulting Numbers: [7, 26] Generated Node #0,1,0: 35:[7, 26] Operation: 37-11=26 Exploring Operation: 11-7=4, Resulting Numbers: [37, 4] Generated Node #0,1,1: 35:[37, 4] Operation: 11-7=4 Exploring Operation: 37-7=30, Resulting Numbers: [11, 30] Generated Node #0,1,2: 35:[11, 30] Operation: 37-7=30 Moving to Node #0,2 Current State: 35:[37, 36, 32], Operations: ['7+25=32'] Exploring Operation: 37-32=5, Resulting Numbers: [36, 5] Generated Node #0,2,0: 35:[36, 5] Operation: 37-32=5 Exploring Operation: 37-36=1, Resulting Numbers: [32, 1] Generated Node #0,2,1: 35:[32, 1] Operation: 37-36=1 Exploring Operation: 36-32=4, Resulting Numbers: [37, 4] Generated Node #0,2,2: 35:[37, 4] Operation: 36-32=4 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 35:[36, 5], Operations: ['7+25=32', '37-32=5'] Exploring Operation: 36*5=180, Resulting Numbers: [180] 180,35 unequal: No Solution Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,35 unequal: No Solution Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,35 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: 35:[37, 4], Operations: ['7+25=32', '36-32=4'] Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 37*4=148, Resulting Numbers: [148] 148,35 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: 35:[32, 1], Operations: ['7+25=32', '37-36=1'] Exploring Operation: 32/1=32, Resulting Numbers: [32] 32,35 unequal: No Solution Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,35 unequal: No Solution Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,35 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: 35:[37, 4], Operations: ['36-25=11', '11-7=4'] Exploring Operation: 37*4=148, Resulting Numbers: [148] 148,35 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 37+4=41, Resulting Numbers: [41] 41,35 unequal: No Solution Moving to Node #0,1,0 Current State: 35:[7, 26], Operations: ['36-25=11', '37-11=26'] Exploring Operation: 7+26=33, Resulting Numbers: [33] 33,35 unequal: No Solution Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,35 unequal: No Solution Exploring Operation: 7*26=182, Resulting Numbers: [182] 182,35 unequal: No Solution Moving to Node #0,1,2 Current State: 35:[11, 30], Operations: ['36-25=11', '37-7=30'] Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,35 unequal: No Solution Exploring Operation: 11*30=330, Resulting Numbers: [330] 330,35 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 95, 68, 68, 61 ]
95
[ "68-68=0", "61*0=0", "95+0=95" ]
Current State: 95:[95, 68, 68, 61], Operations: [] Exploring Operation: 68-68=0, Resulting Numbers: [95, 61, 0] Generated Node #2: [95, 61, 0] from Operation: 68-68=0 Current State: 95:[95, 61, 0], Operations: ['68-68=0'] Exploring Operation: 61*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 61*0=0 Current State: 95:[95, 0], Operations: ['68-68=0', '61*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[95, 68, 68, 61], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [95, 68, 7] Generated Node #0,0: 95:[95, 68, 7] Operation: 68-61=7 Moving to Node #0,0 Current State: 95:[95, 68, 7], Operations: ['68-61=7'] Exploring Operation: 95-68=27, Resulting Numbers: [7, 27] Generated Node #0,0,0: 95:[7, 27] Operation: 95-68=27 Moving to Node #0,0,0 Current State: 95:[7, 27], Operations: ['68-61=7', '95-68=27'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,95 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 9, 80, 7, 18 ]
37
[ "9+80=89", "7*18=126", "126-89=37" ]
Current State: 37:[9, 80, 7, 18], Operations: [] Exploring Operation: 9+80=89, Resulting Numbers: [7, 18, 89] Generated Node #2: [7, 18, 89] from Operation: 9+80=89 Current State: 37:[7, 18, 89], Operations: ['9+80=89'] Exploring Operation: 7*18=126, Resulting Numbers: [89, 126] Generated Node #3: [89, 126] from Operation: 7*18=126 Current State: 37:[89, 126], Operations: ['9+80=89', '7*18=126'] Exploring Operation: 126-89=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[9, 80, 7, 18], Operations: [] Exploring Operation: 80-9=71, Resulting Numbers: [7, 18, 71] Generated Node #0,0: 37:[7, 18, 71] Operation: 80-9=71 Exploring Operation: 9+18=27, Resulting Numbers: [80, 7, 27] Generated Node #0,1: 37:[80, 7, 27] Operation: 9+18=27 Exploring Operation: 9+7=16, Resulting Numbers: [80, 18, 16] Generated Node #0,2: 37:[80, 18, 16] Operation: 9+7=16 Moving to Node #0,0 Current State: 37:[7, 18, 71], Operations: ['80-9=71'] Exploring Operation: 71-18=53, Resulting Numbers: [7, 53] Generated Node #0,0,0: 37:[7, 53] Operation: 71-18=53 Exploring Operation: 71-7=64, Resulting Numbers: [18, 64] Generated Node #0,0,1: 37:[18, 64] Operation: 71-7=64 Exploring Operation: 7+18=25, Resulting Numbers: [71, 25] Generated Node #0,0,2: 37:[71, 25] Operation: 7+18=25 Moving to Node #0,1 Current State: 37:[80, 7, 27], Operations: ['9+18=27'] Exploring Operation: 80-7=73, Resulting Numbers: [27, 73] Generated Node #0,1,0: 37:[27, 73] Operation: 80-7=73 Exploring Operation: 80-27=53, Resulting Numbers: [7, 53] Generated Node #0,1,1: 37:[7, 53] Operation: 80-27=53 Exploring Operation: 7+27=34, Resulting Numbers: [80, 34] Generated Node #0,1,2: 37:[80, 34] Operation: 7+27=34 Moving to Node #0,2 Current State: 37:[80, 18, 16], Operations: ['9+7=16'] Exploring Operation: 80-18=62, Resulting Numbers: [16, 62] Generated Node #0,2,0: 37:[16, 62] Operation: 80-18=62 Exploring Operation: 80-16=64, Resulting Numbers: [18, 64] Generated Node #0,2,1: 37:[18, 64] Operation: 80-16=64 Exploring Operation: 18+16=34, Resulting Numbers: [80, 34] Generated Node #0,2,2: 37:[80, 34] Operation: 18+16=34 Moving to Node #0,0,0 Current State: 37:[7, 53], Operations: ['80-9=71', '71-18=53'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,37 unequal: No Solution Exploring Operation: 7*53=371, Resulting Numbers: [371] 371,37 unequal: No Solution Exploring Operation: 7+53=60, Resulting Numbers: [60] 60,37 unequal: No Solution Moving to Node #0,0,2 Current State: 37:[71, 25], Operations: ['80-9=71', '7+18=25'] Exploring Operation: 71-25=46, Resulting Numbers: [46] 46,37 unequal: No Solution Exploring Operation: 71*25=1775, Resulting Numbers: [1775] 1775,37 unequal: No Solution Exploring Operation: 71+25=96, Resulting Numbers: [96] 96,37 unequal: No Solution Moving to Node #0,2,0 Current State: 37:[16, 62], Operations: ['9+7=16', '80-18=62'] Exploring Operation: 16+62=78, Resulting Numbers: [78] 78,37 unequal: No Solution Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,37 unequal: No Solution Exploring Operation: 16*62=992, Resulting Numbers: [992] 992,37 unequal: No Solution Moving to Node #0,2,2 Current State: 37:[80, 34], Operations: ['9+7=16', '18+16=34'] Exploring Operation: 80+34=114, Resulting Numbers: [114] 114,37 unequal: No Solution Exploring Operation: 80*34=2720, Resulting Numbers: [2720] 2720,37 unequal: No Solution Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,37 unequal: No Solution Moving to Node #0,1,2 Current State: 37:[80, 34], Operations: ['9+18=27', '7+27=34'] Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,37 unequal: No Solution Exploring Operation: 80+34=114, Resulting Numbers: [114] 114,37 unequal: No Solution Exploring Operation: 80*34=2720, Resulting Numbers: [2720] 2720,37 unequal: No Solution Moving to Node #0,2,1 Current State: 37:[18, 64], Operations: ['9+7=16', '80-16=64'] Exploring Operation: 18*64=1152, Resulting Numbers: [1152] 1152,37 unequal: No Solution Exploring Operation: 18+64=82, Resulting Numbers: [82] 82,37 unequal: No Solution Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,37 unequal: No Solution Moving to Node #0,1,1 Current State: 37:[7, 53], Operations: ['9+18=27', '80-27=53'] Exploring Operation: 7*53=371, Resulting Numbers: [371] 371,37 unequal: No Solution Exploring Operation: 7+53=60, Resulting Numbers: [60] 60,37 unequal: No Solution Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,37 unequal: No Solution Moving to Node #0,0,1 Current State: 37:[18, 64], Operations: ['80-9=71', '71-7=64'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,37 unequal: No Solution Exploring Operation: 18*64=1152, Resulting Numbers: [1152] 1152,37 unequal: No Solution Exploring Operation: 18+64=82, Resulting Numbers: [82] 82,37 unequal: No Solution Moving to Node #0,1,0 Current State: 37:[27, 73], Operations: ['9+18=27', '80-7=73'] Exploring Operation: 27+73=100, Resulting Numbers: [100] 100,37 unequal: No Solution Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,37 unequal: No Solution Exploring Operation: 27*73=1971, Resulting Numbers: [1971] 1971,37 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 64, 83, 95, 48 ]
28
[ "83-64=19", "95-48=47", "47-19=28" ]
Current State: 28:[64, 83, 95, 48], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [95, 48, 19] Generated Node #2: [95, 48, 19] from Operation: 83-64=19 Current State: 28:[95, 48, 19], Operations: ['83-64=19'] Exploring Operation: 95-48=47, Resulting Numbers: [19, 47] Generated Node #3: [19, 47] from Operation: 95-48=47 Current State: 28:[19, 47], Operations: ['83-64=19', '95-48=47'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[64, 83, 95, 48], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [64, 48, 12] Generated Node #0,0: 28:[64, 48, 12] Operation: 95-83=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[64, 48, 12], Operations: ['95-83=12'] Exploring Operation: 64-48=16, Resulting Numbers: [12, 16] Generated Node #0,0,0: 28:[12, 16] Operation: 64-48=16 Moving to Node #0,0,0 Current State: 28:[12, 16], Operations: ['95-83=12', '64-48=16'] Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[64, 83, 95, 48], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [64, 48, 12] Generated Node #0,0: 28:[64, 48, 12] Operation: 95-83=12 Moving to Node #0,0 Current State: 28:[64, 48, 12], Operations: ['95-83=12'] Exploring Operation: 64-48=16, Resulting Numbers: [12, 16] Generated Node #0,0,0: 28:[12, 16] Operation: 64-48=16 Moving to Node #0,0,0 Current State: 28:[12, 16], Operations: ['95-83=12', '64-48=16'] Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 33, 46, 17, 3 ]
90
[ "46-33=13", "17+13=30", "3*30=90" ]
Current State: 90:[33, 46, 17, 3], Operations: [] Exploring Operation: 46-33=13, Resulting Numbers: [17, 3, 13] Generated Node #2: [17, 3, 13] from Operation: 46-33=13 Current State: 90:[17, 3, 13], Operations: ['46-33=13'] Exploring Operation: 17+13=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 17+13=30 Current State: 90:[3, 30], Operations: ['46-33=13', '17+13=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[33, 46, 17, 3], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [46, 3, 16] Generated Node #0,0: 90:[46, 3, 16] Operation: 33-17=16 Exploring Operation: 46-33=13, Resulting Numbers: [17, 3, 13] Generated Node #0,1: 90:[17, 3, 13] Operation: 46-33=13 Exploring Operation: 33-3=30, Resulting Numbers: [46, 17, 30] Generated Node #0,2: 90:[46, 17, 30] Operation: 33-3=30 Exploring Operation: 33/3=11, Resulting Numbers: [46, 17, 11] Generated Node #0,3: 90:[46, 17, 11] Operation: 33/3=11 Exploring Operation: 46-17=29, Resulting Numbers: [33, 3, 29] Generated Node #0,4: 90:[33, 3, 29] Operation: 46-17=29 Moving to Node #0,0 Current State: 90:[46, 3, 16], Operations: ['33-17=16'] Exploring Operation: 46-16=30, Resulting Numbers: [3, 30] Generated Node #0,0,0: 90:[3, 30] Operation: 46-16=30 Exploring Operation: 3*16=48, Resulting Numbers: [46, 48] Generated Node #0,0,1: 90:[46, 48] Operation: 3*16=48 Exploring Operation: 16-3=13, Resulting Numbers: [46, 13] Generated Node #0,0,2: 90:[46, 13] Operation: 16-3=13 Exploring Operation: 46-3=43, Resulting Numbers: [16, 43] Generated Node #0,0,3: 90:[16, 43] Operation: 46-3=43 Exploring Operation: 3+16=19, Resulting Numbers: [46, 19] Generated Node #0,0,4: 90:[46, 19] Operation: 3+16=19 Moving to Node #0,2 Current State: 90:[46, 17, 30], Operations: ['33-3=30'] Exploring Operation: 46-17=29, Resulting Numbers: [30, 29] Generated Node #0,2,0: 90:[30, 29] Operation: 46-17=29 Exploring Operation: 46+30=76, Resulting Numbers: [17, 76] Generated Node #0,2,1: 90:[17, 76] Operation: 46+30=76 Exploring Operation: 17+30=47, Resulting Numbers: [46, 47] Generated Node #0,2,2: 90:[46, 47] Operation: 17+30=47 Exploring Operation: 30-17=13, Resulting Numbers: [46, 13] Generated Node #0,2,3: 90:[46, 13] Operation: 30-17=13 Exploring Operation: 46-30=16, Resulting Numbers: [17, 16] Generated Node #0,2,4: 90:[17, 16] Operation: 46-30=16 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 90:[30, 29], Operations: ['33-3=30', '46-17=29'] Exploring Operation: 30+29=59, Resulting Numbers: [59] 59,90 unequal: No Solution Exploring Operation: 30*29=870, Resulting Numbers: [870] 870,90 unequal: No Solution Exploring Operation: 30-29=1, Resulting Numbers: [1] 1,90 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: 90:[17, 16], Operations: ['33-3=30', '46-30=16'] Exploring Operation: 17*16=272, Resulting Numbers: [272] 272,90 unequal: No Solution Exploring Operation: 17-16=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 17+16=33, Resulting Numbers: [33] 33,90 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: 90:[46, 47], Operations: ['33-3=30', '17+30=47'] Exploring Operation: 47-46=1, Resulting Numbers: [1] 1,90 unequal: No Solution Exploring Operation: 46+47=93, Resulting Numbers: [93] 93,90 unequal: No Solution Exploring Operation: 46*47=2162, Resulting Numbers: [2162] 2162,90 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: 90:[46, 13], Operations: ['33-3=30', '30-17=13'] Exploring Operation: 46+13=59, Resulting Numbers: [59] 59,90 unequal: No Solution Exploring Operation: 46*13=598, Resulting Numbers: [598] 598,90 unequal: No Solution Exploring Operation: 46-13=33, Resulting Numbers: [33] 33,90 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: 90:[17, 76], Operations: ['33-3=30', '46+30=76'] Exploring Operation: 76-17=59, Resulting Numbers: [59] 59,90 unequal: No Solution Exploring Operation: 17+76=93, Resulting Numbers: [93] 93,90 unequal: No Solution Exploring Operation: 17*76=1292, Resulting Numbers: [1292] 1292,90 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: 90:[17, 3, 13], Operations: ['46-33=13'] Exploring Operation: 17+13=30, Resulting Numbers: [3, 30] Generated Node #0,1,0: 90:[3, 30] Operation: 17+13=30 Exploring Operation: 13-3=10, Resulting Numbers: [17, 10] Generated Node #0,1,1: 90:[17, 10] Operation: 13-3=10 Exploring Operation: 17-13=4, Resulting Numbers: [3, 4] Generated Node #0,1,2: 90:[3, 4] Operation: 17-13=4 Exploring Operation: 17-3=14, Resulting Numbers: [13, 14] Generated Node #0,1,3: 90:[13, 14] Operation: 17-3=14 Exploring Operation: 3+13=16, Resulting Numbers: [17, 16] Generated Node #0,1,4: 90:[17, 16] Operation: 3+13=16 Moving to Node #0,3 Current State: 90:[46, 17, 11], Operations: ['33/3=11'] Exploring Operation: 46-11=35, Resulting Numbers: [17, 35] Generated Node #0,3,0: 90:[17, 35] Operation: 46-11=35 Exploring Operation: 17-11=6, Resulting Numbers: [46, 6] Generated Node #0,3,1: 90:[46, 6] Operation: 17-11=6 Exploring Operation: 46+11=57, Resulting Numbers: [17, 57] Generated Node #0,3,2: 90:[17, 57] Operation: 46+11=57 Exploring Operation: 46-17=29, Resulting Numbers: [11, 29] Generated Node #0,3,3: 90:[11, 29] Operation: 46-17=29 Exploring Operation: 17+11=28, Resulting Numbers: [46, 28] Generated Node #0,3,4: 90:[46, 28] Operation: 17+11=28 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 90:[46, 6], Operations: ['33/3=11', '17-11=6'] Exploring Operation: 46*6=276, Resulting Numbers: [276] 276,90 unequal: No Solution Exploring Operation: 46+6=52, Resulting Numbers: [52] 52,90 unequal: No Solution Exploring Operation: 46-6=40, Resulting Numbers: [40] 40,90 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: 90:[11, 29], Operations: ['33/3=11', '46-17=29'] Exploring Operation: 11*29=319, Resulting Numbers: [319] 319,90 unequal: No Solution Exploring Operation: 11+29=40, Resulting Numbers: [40] 40,90 unequal: No Solution Exploring Operation: 29-11=18, Resulting Numbers: [18] 18,90 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: 90:[46, 28], Operations: ['33/3=11', '17+11=28'] Exploring Operation: 46*28=1288, Resulting Numbers: [1288] 1288,90 unequal: No Solution Exploring Operation: 46-28=18, Resulting Numbers: [18] 18,90 unequal: No Solution Exploring Operation: 46+28=74, Resulting Numbers: [74] 74,90 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: 90:[17, 35], Operations: ['33/3=11', '46-11=35'] Exploring Operation: 35-17=18, Resulting Numbers: [18] 18,90 unequal: No Solution Exploring Operation: 17*35=595, Resulting Numbers: [595] 595,90 unequal: No Solution Exploring Operation: 17+35=52, Resulting Numbers: [52] 52,90 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: 90:[17, 57], Operations: ['33/3=11', '46+11=57'] Exploring Operation: 57-17=40, Resulting Numbers: [40] 40,90 unequal: No Solution Exploring Operation: 17+57=74, Resulting Numbers: [74] 74,90 unequal: No Solution Exploring Operation: 17*57=969, Resulting Numbers: [969] 969,90 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: 90:[33, 3, 29], Operations: ['46-17=29'] Exploring Operation: 33-29=4, Resulting Numbers: [3, 4] Generated Node #0,4,0: 90:[3, 4] Operation: 33-29=4 Exploring Operation: 3*29=87, Resulting Numbers: [33, 87] Generated Node #0,4,1: 90:[33, 87] Operation: 3*29=87 Exploring Operation: 33-3=30, Resulting Numbers: [29, 30] Generated Node #0,4,2: 90:[29, 30] Operation: 33-3=30 Exploring Operation: 33/3=11, Resulting Numbers: [29, 11] Generated Node #0,4,3: 90:[29, 11] Operation: 33/3=11 Exploring Operation: 3+29=32, Resulting Numbers: [33, 32] Generated Node #0,4,4: 90:[33, 32] Operation: 3+29=32 Moving to Node #0,0,0 Current State: 90:[3, 30], Operations: ['33-17=16', '46-16=30'] Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,90 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,90 unequal: No Solution Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,90 unequal: No Solution Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[33, 46, 17, 3], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [46, 3, 16] Generated Node #0,0: 90:[46, 3, 16] Operation: 33-17=16 Moving to Node #0,0 Current State: 90:[46, 3, 16], Operations: ['33-17=16'] Exploring Operation: 46-16=30, Resulting Numbers: [3, 30] Generated Node #0,0,0: 90:[3, 30] Operation: 46-16=30 Moving to Node #0,0,0 Current State: 90:[3, 30], Operations: ['33-17=16', '46-16=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
0.940972
hs_5
mult_heuristic
[ 30, 46, 4, 50 ]
54
[ "46-30=16", "16/4=4", "50+4=54" ]
Current State: 54:[30, 46, 4, 50], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [4, 50, 16] Generated Node #2: [4, 50, 16] from Operation: 46-30=16 Current State: 54:[4, 50, 16], Operations: ['46-30=16'] Exploring Operation: 16/4=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 16/4=4 Current State: 54:[50, 4], Operations: ['46-30=16', '16/4=4'] Exploring Operation: 50+4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[30, 46, 4, 50], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [4, 50, 16] Generated Node #0,0: 54:[4, 50, 16] Operation: 46-30=16 Exploring Operation: 50-46=4, Resulting Numbers: [30, 4, 4] Generated Node #0,1: 54:[30, 4, 4] Operation: 50-46=4 Moving to Node #0,1 Current State: 54:[30, 4, 4], Operations: ['50-46=4'] Exploring Operation: 30-4=26, Resulting Numbers: [4, 26] Generated Node #0,1,0: 54:[4, 26] Operation: 30-4=26 Exploring Operation: 30-4=26, Resulting Numbers: [4, 26] Generated Node #0,1,1: 54:[4, 26] Operation: 30-4=26 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 54:[4, 26], Operations: ['50-46=4', '30-4=26'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,54 unequal: No Solution Exploring Operation: 4+26=30, Resulting Numbers: [30] 30,54 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: 54:[4, 26], Operations: ['50-46=4', '30-4=26'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,54 unequal: No Solution Exploring Operation: 4+26=30, Resulting Numbers: [30] 30,54 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: 54:[4, 50, 16], Operations: ['46-30=16'] Exploring Operation: 4+50=54, Resulting Numbers: [16, 54] Generated Node #0,0,0: 54:[16, 54] Operation: 4+50=54 Exploring Operation: 16/4=4, Resulting Numbers: [50, 4] Generated Node #0,0,1: 54:[50, 4] Operation: 16/4=4 Moving to Node #0,0,0 Current State: 54:[16, 54], Operations: ['46-30=16', '4+50=54'] Exploring Operation: 54-16=38, Resulting Numbers: [38] 38,54 unequal: No Solution Exploring Operation: 16+54=70, Resulting Numbers: [70] 70,54 unequal: No Solution Moving to Node #0,0,1 Current State: 54:[50, 4], Operations: ['46-30=16', '16/4=4'] Exploring Operation: 50+4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[30, 46, 4, 50], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [4, 50, 16] Generated Node #0,0: 54:[4, 50, 16] Operation: 46-30=16 Moving to Node #0,0 Current State: 54:[4, 50, 16], Operations: ['46-30=16'] Exploring Operation: 16/4=4, Resulting Numbers: [50, 4] Generated Node #0,0,1: 54:[50, 4] Operation: 16/4=4 Moving to Node #0,0,1 Current State: 54:[50, 4], Operations: ['46-30=16', '16/4=4'] Exploring Operation: 50+4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
0.985243
hs_2
sum_heuristic
[ 5, 15, 2, 29 ]
52
[ "5*15=75", "29+75=104", "104/2=52" ]
Current State: 52:[5, 15, 2, 29], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [2, 29, 75] Generated Node #2: [2, 29, 75] from Operation: 5*15=75 Current State: 52:[2, 29, 75], Operations: ['5*15=75'] Exploring Operation: 29+75=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 29+75=104 Current State: 52:[2, 104], Operations: ['5*15=75', '29+75=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[5, 15, 2, 29], Operations: [] Exploring Operation: 15-2=13, Resulting Numbers: [5, 29, 13] Generated Node #0,0: 52:[5, 29, 13] Operation: 15-2=13 Exploring Operation: 29-5=24, Resulting Numbers: [15, 2, 24] Generated Node #0,1: 52:[15, 2, 24] Operation: 29-5=24 Exploring Operation: 29-2=27, Resulting Numbers: [5, 15, 27] Generated Node #0,2: 52:[5, 15, 27] Operation: 29-2=27 Exploring Operation: 15/5=3, Resulting Numbers: [2, 29, 3] Generated Node #0,3: 52:[2, 29, 3] Operation: 15/5=3 Exploring Operation: 29-15=14, Resulting Numbers: [5, 2, 14] Generated Node #0,4: 52:[5, 2, 14] Operation: 29-15=14 Moving to Node #0,4 Current State: 52:[5, 2, 14], Operations: ['29-15=14'] Exploring Operation: 5+2=7, Resulting Numbers: [14, 7] Generated Node #0,4,0: 52:[14, 7] Operation: 5+2=7 Exploring Operation: 5*2=10, Resulting Numbers: [14, 10] Generated Node #0,4,1: 52:[14, 10] Operation: 5*2=10 Exploring Operation: 14-2=12, Resulting Numbers: [5, 12] Generated Node #0,4,2: 52:[5, 12] Operation: 14-2=12 Exploring Operation: 5-2=3, Resulting Numbers: [14, 3] Generated Node #0,4,3: 52:[14, 3] Operation: 5-2=3 Exploring Operation: 2*14=28, Resulting Numbers: [5, 28] Generated Node #0,4,4: 52:[5, 28] Operation: 2*14=28 Moving to Node #0,1 Current State: 52:[15, 2, 24], Operations: ['29-5=24'] Exploring Operation: 15+2=17, Resulting Numbers: [24, 17] Generated Node #0,1,0: 52:[24, 17] Operation: 15+2=17 Exploring Operation: 2+24=26, Resulting Numbers: [15, 26] Generated Node #0,1,1: 52:[15, 26] Operation: 2+24=26 Exploring Operation: 24-15=9, Resulting Numbers: [2, 9] Generated Node #0,1,2: 52:[2, 9] Operation: 24-15=9 Exploring Operation: 24/2=12, Resulting Numbers: [15, 12] Generated Node #0,1,3: 52:[15, 12] Operation: 24/2=12 Exploring Operation: 15-2=13, Resulting Numbers: [24, 13] Generated Node #0,1,4: 52:[24, 13] Operation: 15-2=13 Moving to Node #0,3 Current State: 52:[2, 29, 3], Operations: ['15/5=3'] Exploring Operation: 3-2=1, Resulting Numbers: [29, 1] Generated Node #0,3,0: 52:[29, 1] Operation: 3-2=1 Exploring Operation: 29-3=26, Resulting Numbers: [2, 26] Generated Node #0,3,1: 52:[2, 26] Operation: 29-3=26 Exploring Operation: 29-2=27, Resulting Numbers: [3, 27] Generated Node #0,3,2: 52:[3, 27] Operation: 29-2=27 Exploring Operation: 2*3=6, Resulting Numbers: [29, 6] Generated Node #0,3,3: 52:[29, 6] Operation: 2*3=6 Exploring Operation: 2+3=5, Resulting Numbers: [29, 5] Generated Node #0,3,4: 52:[29, 5] Operation: 2+3=5 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 52:[2, 26], Operations: ['15/5=3', '29-3=26'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,52 unequal: No Solution Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[5, 15, 2, 29], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [2, 29, 3] Generated Node #0,3: 52:[2, 29, 3] Operation: 15/5=3 Moving to Node #0,3 Current State: 52:[2, 29, 3], Operations: ['15/5=3'] Exploring Operation: 29-3=26, Resulting Numbers: [2, 26] Generated Node #0,3,1: 52:[2, 26] Operation: 29-3=26 Moving to Node #0,3,1 Current State: 52:[2, 26], Operations: ['15/5=3', '29-3=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1
0.976563
hs_5
mult_heuristic
[ 17, 92, 44, 33 ]
25
[ "92+44=136", "136/17=8", "33-8=25" ]
Current State: 25:[17, 92, 44, 33], Operations: [] Exploring Operation: 92+44=136, Resulting Numbers: [17, 33, 136] Generated Node #2: [17, 33, 136] from Operation: 92+44=136 Current State: 25:[17, 33, 136], Operations: ['92+44=136'] Exploring Operation: 136/17=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 136/17=8 Current State: 25:[33, 8], Operations: ['92+44=136', '136/17=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[17, 92, 44, 33], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [17, 33, 48] Generated Node #0,0: 25:[17, 33, 48] Operation: 92-44=48 Exploring Operation: 92-33=59, Resulting Numbers: [17, 44, 59] Generated Node #0,1: 25:[17, 44, 59] Operation: 92-33=59 Moving to Node #0,0 Current State: 25:[17, 33, 48], Operations: ['92-44=48'] Exploring Operation: 48-17=31, Resulting Numbers: [33, 31] Generated Node #0,0,0: 25:[33, 31] Operation: 48-17=31 Exploring Operation: 48-33=15, Resulting Numbers: [17, 15] Generated Node #0,0,1: 25:[17, 15] Operation: 48-33=15 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 25:[33, 31], Operations: ['92-44=48', '48-17=31'] Exploring Operation: 33-31=2, Resulting Numbers: [2] 2,25 unequal: No Solution Exploring Operation: 33+31=64, Resulting Numbers: [64] 64,25 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: 25:[17, 15], Operations: ['92-44=48', '48-33=15'] Exploring Operation: 17+15=32, Resulting Numbers: [32] 32,25 unequal: No Solution Exploring Operation: 17-15=2, Resulting Numbers: [2] 2,25 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: 25:[17, 44, 59], Operations: ['92-33=59'] Exploring Operation: 59-44=15, Resulting Numbers: [17, 15] Generated Node #0,1,0: 25:[17, 15] Operation: 59-44=15 Exploring Operation: 44-17=27, Resulting Numbers: [59, 27] Generated Node #0,1,1: 25:[59, 27] Operation: 44-17=27 Moving to Node #0,1,0 Current State: 25:[17, 15], Operations: ['92-33=59', '59-44=15'] Exploring Operation: 17+15=32, Resulting Numbers: [32] 32,25 unequal: No Solution Exploring Operation: 17-15=2, Resulting Numbers: [2] 2,25 unequal: No Solution Moving to Node #0,1,1 Current State: 25:[59, 27], Operations: ['92-33=59', '44-17=27'] Exploring Operation: 59-27=32, Resulting Numbers: [32] 32,25 unequal: No Solution Exploring Operation: 59+27=86, Resulting Numbers: [86] 86,25 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 64, 52, 83, 76 ]
81
[ "52+76=128", "128/64=2", "83-2=81" ]
Current State: 81:[64, 52, 83, 76], Operations: [] Exploring Operation: 52+76=128, Resulting Numbers: [64, 83, 128] Generated Node #2: [64, 83, 128] from Operation: 52+76=128 Current State: 81:[64, 83, 128], Operations: ['52+76=128'] Exploring Operation: 128/64=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 128/64=2 Current State: 81:[83, 2], Operations: ['52+76=128', '128/64=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[64, 52, 83, 76], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [64, 83, 24] Generated Node #0,0: 81:[64, 83, 24] Operation: 76-52=24 Exploring Operation: 64-52=12, Resulting Numbers: [83, 76, 12] Generated Node #0,1: 81:[83, 76, 12] Operation: 64-52=12 Moving to Node #0,1 Current State: 81:[83, 76, 12], Operations: ['64-52=12'] Exploring Operation: 76+12=88, Resulting Numbers: [83, 88] Generated Node #0,1,0: 81:[83, 88] Operation: 76+12=88 Exploring Operation: 83-76=7, Resulting Numbers: [12, 7] Generated Node #0,1,1: 81:[12, 7] Operation: 83-76=7 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 81:[12, 7], Operations: ['64-52=12', '83-76=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,81 unequal: No Solution Exploring Operation: 12-7=5, Resulting Numbers: [5] 5,81 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: 81:[83, 88], Operations: ['64-52=12', '76+12=88'] Exploring Operation: 83+88=171, Resulting Numbers: [171] 171,81 unequal: No Solution Exploring Operation: 88-83=5, Resulting Numbers: [5] 5,81 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: 81:[64, 83, 24], Operations: ['76-52=24'] Exploring Operation: 64+24=88, Resulting Numbers: [83, 88] Generated Node #0,0,0: 81:[83, 88] Operation: 64+24=88 Exploring Operation: 83-64=19, Resulting Numbers: [24, 19] Generated Node #0,0,1: 81:[24, 19] Operation: 83-64=19 Moving to Node #0,0,0 Current State: 81:[83, 88], Operations: ['76-52=24', '64+24=88'] Exploring Operation: 88-83=5, Resulting Numbers: [5] 5,81 unequal: No Solution Exploring Operation: 83+88=171, Resulting Numbers: [171] 171,81 unequal: No Solution Moving to Node #0,0,1 Current State: 81:[24, 19], Operations: ['76-52=24', '83-64=19'] Exploring Operation: 24-19=5, Resulting Numbers: [5] 5,81 unequal: No Solution Exploring Operation: 24+19=43, Resulting Numbers: [43] 43,81 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 57, 45, 33, 60 ]
62
[ "57+33=90", "90/45=2", "60+2=62" ]
Current State: 62:[57, 45, 33, 60], Operations: [] Exploring Operation: 57+33=90, Resulting Numbers: [45, 60, 90] Generated Node #2: [45, 60, 90] from Operation: 57+33=90 Current State: 62:[45, 60, 90], Operations: ['57+33=90'] Exploring Operation: 90/45=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 90/45=2 Current State: 62:[60, 2], Operations: ['57+33=90', '90/45=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[57, 45, 33, 60], Operations: [] Exploring Operation: 60-45=15, Resulting Numbers: [57, 33, 15] Generated Node #0,0: 62:[57, 33, 15] Operation: 60-45=15 Exploring Operation: 45-33=12, Resulting Numbers: [57, 60, 12] Generated Node #0,1: 62:[57, 60, 12] Operation: 45-33=12 Exploring Operation: 60-57=3, Resulting Numbers: [45, 33, 3] Generated Node #0,2: 62:[45, 33, 3] Operation: 60-57=3 Exploring Operation: 57-33=24, Resulting Numbers: [45, 60, 24] Generated Node #0,3: 62:[45, 60, 24] Operation: 57-33=24 Exploring Operation: 57-45=12, Resulting Numbers: [33, 60, 12] Generated Node #0,4: 62:[33, 60, 12] Operation: 57-45=12 Moving to Node #0,4 Current State: 62:[33, 60, 12], Operations: ['57-45=12'] Exploring Operation: 60/12=5, Resulting Numbers: [33, 5] Generated Node #0,4,0: 62:[33, 5] Operation: 60/12=5 Exploring Operation: 33+12=45, Resulting Numbers: [60, 45] Generated Node #0,4,1: 62:[60, 45] Operation: 33+12=45 Exploring Operation: 33-12=21, Resulting Numbers: [60, 21] Generated Node #0,4,2: 62:[60, 21] Operation: 33-12=21 Exploring Operation: 60-33=27, Resulting Numbers: [12, 27] Generated Node #0,4,3: 62:[12, 27] Operation: 60-33=27 Exploring Operation: 60+12=72, Resulting Numbers: [33, 72] Generated Node #0,4,4: 62:[33, 72] Operation: 60+12=72 Moving to Node #0,2 Current State: 62:[45, 33, 3], Operations: ['60-57=3'] Exploring Operation: 33-3=30, Resulting Numbers: [45, 30] Generated Node #0,2,0: 62:[45, 30] Operation: 33-3=30 Exploring Operation: 45-3=42, Resulting Numbers: [33, 42] Generated Node #0,2,1: 62:[33, 42] Operation: 45-3=42 Exploring Operation: 45+3=48, Resulting Numbers: [33, 48] Generated Node #0,2,2: 62:[33, 48] Operation: 45+3=48 Exploring Operation: 45/3=15, Resulting Numbers: [33, 15] Generated Node #0,2,3: 62:[33, 15] Operation: 45/3=15 Exploring Operation: 45-33=12, Resulting Numbers: [3, 12] Generated Node #0,2,4: 62:[3, 12] Operation: 45-33=12 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 62:[3, 12], Operations: ['60-57=3', '45-33=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,62 unequal: No Solution Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,62 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,62 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,62 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 #0,2,1 Current State: 62:[33, 42], Operations: ['60-57=3', '45-3=42'] Exploring Operation: 33*42=1386, Resulting Numbers: [1386] 1386,62 unequal: No Solution Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,62 unequal: No Solution Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,62 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 #0,2,0 Current State: 62:[45, 30], Operations: ['60-57=3', '33-3=30'] Exploring Operation: 45+30=75, Resulting Numbers: [75] 75,62 unequal: No Solution Exploring Operation: 45*30=1350, Resulting Numbers: [1350] 1350,62 unequal: No Solution Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,62 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 #0,2,3 Current State: 62:[33, 15], Operations: ['60-57=3', '45/3=15'] Exploring Operation: 33*15=495, Resulting Numbers: [495] 495,62 unequal: No Solution Exploring Operation: 33-15=18, Resulting Numbers: [18] 18,62 unequal: No Solution Exploring Operation: 33+15=48, Resulting Numbers: [48] 48,62 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 #0,2,2 Current State: 62:[33, 48], Operations: ['60-57=3', '45+3=48'] Exploring Operation: 33*48=1584, Resulting Numbers: [1584] 1584,62 unequal: No Solution Exploring Operation: 48-33=15, Resulting Numbers: [15] 15,62 unequal: No Solution Exploring Operation: 33+48=81, Resulting Numbers: [81] 81,62 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: 62:[57, 60, 12], Operations: ['45-33=12'] Exploring Operation: 60-57=3, Resulting Numbers: [12, 3] Generated Node #0,1,0: 62:[12, 3] Operation: 60-57=3 Exploring Operation: 57-12=45, Resulting Numbers: [60, 45] Generated Node #0,1,1: 62:[60, 45] Operation: 57-12=45 Exploring Operation: 60+12=72, Resulting Numbers: [57, 72] Generated Node #0,1,2: 62:[57, 72] Operation: 60+12=72 Exploring Operation: 60/12=5, Resulting Numbers: [57, 5] Generated Node #0,1,3: 62:[57, 5] Operation: 60/12=5 Exploring Operation: 57+12=69, Resulting Numbers: [60, 69] Generated Node #0,1,4: 62:[60, 69] Operation: 57+12=69 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 62:[57, 5], Operations: ['45-33=12', '60/12=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Moving to Node #0 Current State: 62:[57, 45, 33, 60], Operations: [] Exploring Operation: 45-33=12, Resulting Numbers: [57, 60, 12] Generated Node #0,1: 62:[57, 60, 12] Operation: 45-33=12 Moving to Node #0,1 Current State: 62:[57, 60, 12], Operations: ['45-33=12'] Exploring Operation: 60/12=5, Resulting Numbers: [57, 5] Generated Node #0,1,3: 62:[57, 5] Operation: 60/12=5 Moving to Node #0,1,3 Current State: 62:[57, 5], Operations: ['45-33=12', '60/12=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Exit Sub Search at level 1
0.96441
hs_5
mult_heuristic
[ 62, 50, 82, 18 ]
48
[ "62+50=112", "82-18=64", "112-64=48" ]
Current State: 48:[62, 50, 82, 18], Operations: [] Exploring Operation: 62+50=112, Resulting Numbers: [82, 18, 112] Generated Node #2: [82, 18, 112] from Operation: 62+50=112 Current State: 48:[82, 18, 112], Operations: ['62+50=112'] Exploring Operation: 82-18=64, Resulting Numbers: [112, 64] Generated Node #3: [112, 64] from Operation: 82-18=64 Current State: 48:[112, 64], Operations: ['62+50=112', '82-18=64'] Exploring Operation: 112-64=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[62, 50, 82, 18], Operations: [] Exploring Operation: 82-50=32, Resulting Numbers: [62, 18, 32] Generated Node #0,0: 48:[62, 18, 32] Operation: 82-50=32 Exploring Operation: 82-62=20, Resulting Numbers: [50, 18, 20] Generated Node #0,1: 48:[50, 18, 20] Operation: 82-62=20 Start Sub Search at level 1: Moving to Node #0,1 Current State: 48:[50, 18, 20], Operations: ['82-62=20'] Exploring Operation: 50-20=30, Resulting Numbers: [18, 30] Generated Node #0,1,0: 48:[18, 30] Operation: 50-20=30 Exploring Operation: 20-18=2, Resulting Numbers: [50, 2] Generated Node #0,1,1: 48:[50, 2] Operation: 20-18=2 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 48:[50, 2], Operations: ['82-62=20', '20-18=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[62, 50, 82, 18], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [50, 18, 20] Generated Node #0,1: 48:[50, 18, 20] Operation: 82-62=20 Moving to Node #0,1 Current State: 48:[50, 18, 20], Operations: ['82-62=20'] Exploring Operation: 20-18=2, Resulting Numbers: [50, 2] Generated Node #0,1,1: 48:[50, 2] Operation: 20-18=2 Moving to Node #0,1,1 Current State: 48:[50, 2], Operations: ['82-62=20', '20-18=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 69, 25, 9, 81 ]
54
[ "69+81=150", "150/25=6", "9*6=54" ]
Current State: 54:[69, 25, 9, 81], Operations: [] Exploring Operation: 69+81=150, Resulting Numbers: [25, 9, 150] Generated Node #2: [25, 9, 150] from Operation: 69+81=150 Current State: 54:[25, 9, 150], Operations: ['69+81=150'] Exploring Operation: 150/25=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 150/25=6 Current State: 54:[9, 6], Operations: ['69+81=150', '150/25=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[69, 25, 9, 81], Operations: [] Exploring Operation: 81-25=56, Resulting Numbers: [69, 9, 56] Generated Node #0,0: 54:[69, 9, 56] Operation: 81-25=56 Exploring Operation: 81/9=9, Resulting Numbers: [69, 25, 9] Generated Node #0,1: 54:[69, 25, 9] Operation: 81/9=9 Exploring Operation: 81-69=12, Resulting Numbers: [25, 9, 12] Generated Node #0,2: 54:[25, 9, 12] Operation: 81-69=12 Start Sub Search at level 1: Moving to Node #0,2 Current State: 54:[25, 9, 12], Operations: ['81-69=12'] Exploring Operation: 25-9=16, Resulting Numbers: [12, 16] Generated Node #0,2,0: 54:[12, 16] Operation: 25-9=16 Exploring Operation: 12-9=3, Resulting Numbers: [25, 3] Generated Node #0,2,1: 54:[25, 3] Operation: 12-9=3 Exploring Operation: 25-12=13, Resulting Numbers: [9, 13] Generated Node #0,2,2: 54:[9, 13] Operation: 25-12=13 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 54:[25, 3], Operations: ['81-69=12', '12-9=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,54 unequal: No Solution Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,54 unequal: No Solution Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,54 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: 54:[9, 13], Operations: ['81-69=12', '25-12=13'] Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,54 unequal: No Solution Exploring Operation: 9*13=117, Resulting Numbers: [117] 117,54 unequal: No Solution Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,54 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: 54:[12, 16], Operations: ['81-69=12', '25-9=16'] Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,54 unequal: No Solution Exploring Operation: 12*16=192, Resulting Numbers: [192] 192,54 unequal: No Solution Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,54 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: 54:[69, 9, 56], Operations: ['81-25=56'] Exploring Operation: 56-9=47, Resulting Numbers: [69, 47] Generated Node #0,0,0: 54:[69, 47] Operation: 56-9=47 Exploring Operation: 69-56=13, Resulting Numbers: [9, 13] Generated Node #0,0,1: 54:[9, 13] Operation: 69-56=13 Exploring Operation: 69-9=60, Resulting Numbers: [56, 60] Generated Node #0,0,2: 54:[56, 60] Operation: 69-9=60 Moving to Node #0,0,1 Current State: 54:[9, 13], Operations: ['81-25=56', '69-56=13'] Exploring Operation: 9*13=117, Resulting Numbers: [117] 117,54 unequal: No Solution Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,54 unequal: No Solution Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,54 unequal: No Solution Moving to Node #0,0,2 Current State: 54:[56, 60], Operations: ['81-25=56', '69-9=60'] Exploring Operation: 56+60=116, Resulting Numbers: [116] 116,54 unequal: No Solution Exploring Operation: 56*60=3360, Resulting Numbers: [3360] 3360,54 unequal: No Solution Exploring Operation: 60-56=4, Resulting Numbers: [4] 4,54 unequal: No Solution Moving to Node #0,0,0 Current State: 54:[69, 47], Operations: ['81-25=56', '56-9=47'] Exploring Operation: 69-47=22, Resulting Numbers: [22] 22,54 unequal: No Solution Exploring Operation: 69+47=116, Resulting Numbers: [116] 116,54 unequal: No Solution Exploring Operation: 69*47=3243, Resulting Numbers: [3243] 3243,54 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: 54:[69, 25, 9], Operations: ['81/9=9'] Exploring Operation: 69-25=44, Resulting Numbers: [9, 44] Generated Node #0,1,0: 54:[9, 44] Operation: 69-25=44 Exploring Operation: 25-9=16, Resulting Numbers: [69, 16] Generated Node #0,1,1: 54:[69, 16] Operation: 25-9=16 Exploring Operation: 69-9=60, Resulting Numbers: [25, 60] Generated Node #0,1,2: 54:[25, 60] Operation: 69-9=60 Moving to Node #0,1,2 Current State: 54:[25, 60], Operations: ['81/9=9', '69-9=60'] Exploring Operation: 25+60=85, Resulting Numbers: [85] 85,54 unequal: No Solution Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,54 unequal: No Solution Exploring Operation: 25*60=1500, Resulting Numbers: [1500] 1500,54 unequal: No Solution Moving to Node #0,1,0 Current State: 54:[9, 44], Operations: ['81/9=9', '69-25=44'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,54 unequal: No Solution Exploring Operation: 9*44=396, Resulting Numbers: [396] 396,54 unequal: No Solution Exploring Operation: 9+44=53, Resulting Numbers: [53] 53,54 unequal: No Solution Moving to Node #0,1,1 Current State: 54:[69, 16], Operations: ['81/9=9', '25-9=16'] Exploring Operation: 69-16=53, Resulting Numbers: [53] 53,54 unequal: No Solution Exploring Operation: 69*16=1104, Resulting Numbers: [1104] 1104,54 unequal: No Solution Exploring Operation: 69+16=85, Resulting Numbers: [85] 85,54 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
[ 39, 84, 15, 3 ]
13
[ "39+3=42", "84/42=2", "15-2=13" ]
Current State: 13:[39, 84, 15, 3], Operations: [] Exploring Operation: 39+3=42, Resulting Numbers: [84, 15, 42] Generated Node #2: [84, 15, 42] from Operation: 39+3=42 Current State: 13:[84, 15, 42], Operations: ['39+3=42'] Exploring Operation: 84/42=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 84/42=2 Current State: 13:[15, 2], Operations: ['39+3=42', '84/42=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[39, 84, 15, 3], Operations: [] Exploring Operation: 84-39=45, Resulting Numbers: [15, 3, 45] Generated Node #0,0: 13:[15, 3, 45] Operation: 84-39=45 Exploring Operation: 39-15=24, Resulting Numbers: [84, 3, 24] Generated Node #0,1: 13:[84, 3, 24] Operation: 39-15=24 Exploring Operation: 84/3=28, Resulting Numbers: [39, 15, 28] Generated Node #0,2: 13:[39, 15, 28] Operation: 84/3=28 Exploring Operation: 39/3=13, Resulting Numbers: [84, 15, 13] Generated Node #0,3: 13:[84, 15, 13] Operation: 39/3=13 Moving to Node #0,2 Current State: 13:[39, 15, 28], Operations: ['84/3=28'] Exploring Operation: 39-28=11, Resulting Numbers: [15, 11] Generated Node #0,2,0: 13:[15, 11] Operation: 39-28=11 Exploring Operation: 39-15=24, Resulting Numbers: [28, 24] Generated Node #0,2,1: 13:[28, 24] Operation: 39-15=24 Exploring Operation: 39+15=54, Resulting Numbers: [28, 54] Generated Node #0,2,2: 13:[28, 54] Operation: 39+15=54 Exploring Operation: 28-15=13, Resulting Numbers: [39, 13] Generated Node #0,2,3: 13:[39, 13] Operation: 28-15=13 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 13:[15, 11], Operations: ['84/3=28', '39-28=11'] Exploring Operation: 15*11=165, Resulting Numbers: [165] 165,13 unequal: No Solution Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,13 unequal: No Solution Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,13 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: 13:[28, 24], Operations: ['84/3=28', '39-15=24'] Exploring Operation: 28*24=672, Resulting Numbers: [672] 672,13 unequal: No Solution Exploring Operation: 28-24=4, Resulting Numbers: [4] 4,13 unequal: No Solution Exploring Operation: 28+24=52, Resulting Numbers: [52] 52,13 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: 13:[39, 13], Operations: ['84/3=28', '28-15=13'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,13 unequal: No Solution Exploring Operation: 39/13=3, Resulting Numbers: [3] 3,13 unequal: No Solution Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,13 unequal: No Solution Exploring Operation: 39*13=507, Resulting Numbers: [507] 507,13 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: 13:[28, 54], Operations: ['84/3=28', '39+15=54'] Exploring Operation: 54-28=26, Resulting Numbers: [26] 26,13 unequal: No Solution Exploring Operation: 28*54=1512, Resulting Numbers: [1512] 1512,13 unequal: No Solution Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,13 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: 13:[15, 3, 45], Operations: ['84-39=45'] Exploring Operation: 45/3=15, Resulting Numbers: [15, 15] Generated Node #0,0,0: 13:[15, 15] Operation: 45/3=15 Exploring Operation: 45-15=30, Resulting Numbers: [3, 30] Generated Node #0,0,1: 13:[3, 30] Operation: 45-15=30 Exploring Operation: 45-3=42, Resulting Numbers: [15, 42] Generated Node #0,0,2: 13:[15, 42] Operation: 45-3=42 Exploring Operation: 45/15=3, Resulting Numbers: [3, 3] Generated Node #0,0,3: 13:[3, 3] Operation: 45/15=3 Moving to Node #0,3 Current State: 13:[84, 15, 13], Operations: ['39/3=13'] Exploring Operation: 84+15=99, Resulting Numbers: [13, 99] Generated Node #0,3,0: 13:[13, 99] Operation: 84+15=99 Exploring Operation: 84-13=71, Resulting Numbers: [15, 71] Generated Node #0,3,1: 13:[15, 71] Operation: 84-13=71 Exploring Operation: 15-13=2, Resulting Numbers: [84, 2] Generated Node #0,3,2: 13:[84, 2] Operation: 15-13=2 Exploring Operation: 84-15=69, Resulting Numbers: [13, 69] Generated Node #0,3,3: 13:[13, 69] Operation: 84-15=69 Moving to Node #0,1 Current State: 13:[84, 3, 24], Operations: ['39-15=24'] Exploring Operation: 24/3=8, Resulting Numbers: [84, 8] Generated Node #0,1,0: 13:[84, 8] Operation: 24/3=8 Exploring Operation: 84/3=28, Resulting Numbers: [24, 28] Generated Node #0,1,1: 13:[24, 28] Operation: 84/3=28 Exploring Operation: 84-3=81, Resulting Numbers: [24, 81] Generated Node #0,1,2: 13:[24, 81] Operation: 84-3=81 Exploring Operation: 84-24=60, Resulting Numbers: [3, 60] Generated Node #0,1,3: 13:[3, 60] Operation: 84-24=60 Moving to Node #0,0,0 Current State: 13:[15, 15], Operations: ['84-39=45', '45/3=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,13 unequal: No Solution Exploring Operation: 15*15=225, Resulting Numbers: [225] 225,13 unequal: No Solution Exploring Operation: 15-15=0, Resulting Numbers: [0] 0,13 unequal: No Solution Exploring Operation: 15/15=1, Resulting Numbers: [1] 1,13 unequal: No Solution Moving to Node #0,0,3 Current State: 13:[3, 3], Operations: ['84-39=45', '45/15=3'] Exploring Operation: 3+3=6, Resulting Numbers: [6] 6,13 unequal: No Solution Exploring Operation: 3/3=1, Resulting Numbers: [1] 1,13 unequal: No Solution Exploring Operation: 3*3=9, Resulting Numbers: [9] 9,13 unequal: No Solution Exploring Operation: 3-3=0, Resulting Numbers: [0] 0,13 unequal: No Solution Moving to Node #0,1,1 Current State: 13:[24, 28], Operations: ['39-15=24', '84/3=28'] Exploring Operation: 24*28=672, Resulting Numbers: [672] 672,13 unequal: No Solution Exploring Operation: 28-24=4, Resulting Numbers: [4] 4,13 unequal: No Solution Exploring Operation: 24+28=52, Resulting Numbers: [52] 52,13 unequal: No Solution Moving to Node #0,0,1 Current State: 13:[3, 30], Operations: ['84-39=45', '45-15=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,13 unequal: No Solution Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,13 unequal: No Solution Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,13 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,13 unequal: No Solution Moving to Node #0,0,2 Current State: 13:[15, 42], Operations: ['84-39=45', '45-3=42'] Exploring Operation: 15+42=57, Resulting Numbers: [57] 57,13 unequal: No Solution Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,13 unequal: No Solution Exploring Operation: 15*42=630, Resulting Numbers: [630] 630,13 unequal: No Solution Moving to Node #0,3,3 Current State: 13:[13, 69], Operations: ['39/3=13', '84-15=69'] Exploring Operation: 13+69=82, Resulting Numbers: [82] 82,13 unequal: No Solution Exploring Operation: 13*69=897, Resulting Numbers: [897] 897,13 unequal: No Solution Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,13 unequal: No Solution Moving to Node #0,1,3 Current State: 13:[3, 60], Operations: ['39-15=24', '84-24=60'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,13 unequal: No Solution Exploring Operation: 3*60=180, Resulting Numbers: [180] 180,13 unequal: No Solution Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,13 unequal: No Solution Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,13 unequal: No Solution Moving to Node #0,3,1 Current State: 13:[15, 71], Operations: ['39/3=13', '84-13=71'] Exploring Operation: 15+71=86, Resulting Numbers: [86] 86,13 unequal: No Solution Exploring Operation: 15*71=1065, Resulting Numbers: [1065] 1065,13 unequal: No Solution Exploring Operation: 71-15=56, Resulting Numbers: [56] 56,13 unequal: No Solution Moving to Node #0,1,0 Current State: 13:[84, 8], Operations: ['39-15=24', '24/3=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,13 unequal: No Solution Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,13 unequal: No Solution Exploring Operation: 84*8=672, Resulting Numbers: [672] 672,13 unequal: No Solution Moving to Node #0,1,2 Current State: 13:[24, 81], Operations: ['39-15=24', '84-3=81'] Exploring Operation: 81-24=57, Resulting Numbers: [57] 57,13 unequal: No Solution Exploring Operation: 24*81=1944, Resulting Numbers: [1944] 1944,13 unequal: No Solution Exploring Operation: 24+81=105, Resulting Numbers: [105] 105,13 unequal: No Solution Moving to Node #0,3,2 Current State: 13:[84, 2], Operations: ['39/3=13', '15-13=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,13 unequal: No Solution Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,13 unequal: No Solution Exploring Operation: 84*2=168, Resulting Numbers: [168] 168,13 unequal: No Solution Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,13 unequal: No Solution Moving to Node #0,3,0 Current State: 13:[13, 99], Operations: ['39/3=13', '84+15=99'] Exploring Operation: 13*99=1287, Resulting Numbers: [1287] 1287,13 unequal: No Solution Exploring Operation: 13+99=112, Resulting Numbers: [112] 112,13 unequal: No Solution Exploring Operation: 99-13=86, Resulting Numbers: [86] 86,13 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 45, 1, 2, 6 ]
58
[ "45+1=46", "2*6=12", "46+12=58" ]
Current State: 58:[45, 1, 2, 6], Operations: [] Exploring Operation: 45+1=46, Resulting Numbers: [2, 6, 46] Generated Node #2: [2, 6, 46] from Operation: 45+1=46 Current State: 58:[2, 6, 46], Operations: ['45+1=46'] Exploring Operation: 2*6=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 2*6=12 Current State: 58:[46, 12], Operations: ['45+1=46', '2*6=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[45, 1, 2, 6], Operations: [] Exploring Operation: 45-6=39, Resulting Numbers: [1, 2, 39] Generated Node #0,0: 58:[1, 2, 39] Operation: 45-6=39 Exploring Operation: 6/2=3, Resulting Numbers: [45, 1, 3] Generated Node #0,1: 58:[45, 1, 3] Operation: 6/2=3 Exploring Operation: 45+6=51, Resulting Numbers: [1, 2, 51] Generated Node #0,2: 58:[1, 2, 51] Operation: 45+6=51 Start Sub Search at level 1: Moving to Node #0,2 Current State: 58:[1, 2, 51], Operations: ['45+6=51'] Exploring Operation: 1*2=2, Resulting Numbers: [51, 2] Generated Node #0,2,0: 58:[51, 2] Operation: 1*2=2 Exploring Operation: 2+51=53, Resulting Numbers: [1, 53] Generated Node #0,2,1: 58:[1, 53] Operation: 2+51=53 Exploring Operation: 1+51=52, Resulting Numbers: [2, 52] Generated Node #0,2,2: 58:[2, 52] Operation: 1+51=52 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 58:[1, 53], Operations: ['45+6=51', '2+51=53'] Exploring Operation: 1+53=54, Resulting Numbers: [54] 54,58 unequal: No Solution Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,58 unequal: No Solution Exploring Operation: 53/1=53, Resulting Numbers: [53] 53,58 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: 58:[2, 52], Operations: ['45+6=51', '1+51=52'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,58 unequal: No Solution Exploring Operation: 2+52=54, Resulting Numbers: [54] 54,58 unequal: No Solution Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,58 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: 58:[51, 2], Operations: ['45+6=51', '1*2=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,58 unequal: No Solution Exploring Operation: 51*2=102, Resulting Numbers: [102] 102,58 unequal: No Solution Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,58 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: 58:[1, 2, 39], Operations: ['45-6=39'] Exploring Operation: 1*2=2, Resulting Numbers: [39, 2] Generated Node #0,0,0: 58:[39, 2] Operation: 1*2=2 Exploring Operation: 39-2=37, Resulting Numbers: [1, 37] Generated Node #0,0,1: 58:[1, 37] Operation: 39-2=37 Exploring Operation: 39-1=38, Resulting Numbers: [2, 38] Generated Node #0,0,2: 58:[2, 38] Operation: 39-1=38 Moving to Node #0,0,1 Current State: 58:[1, 37], Operations: ['45-6=39', '39-2=37'] Exploring Operation: 1*37=37, Resulting Numbers: [37] 37,58 unequal: No Solution Exploring Operation: 37/1=37, Resulting Numbers: [37] 37,58 unequal: No Solution Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,58 unequal: No Solution Moving to Node #0,0,2 Current State: 58:[2, 38], Operations: ['45-6=39', '39-1=38'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,58 unequal: No Solution Exploring Operation: 2+38=40, Resulting Numbers: [40] 40,58 unequal: No Solution Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,58 unequal: No Solution Moving to Node #0,0,0 Current State: 58:[39, 2], Operations: ['45-6=39', '1*2=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,58 unequal: No Solution Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,58 unequal: No Solution Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,58 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: 58:[45, 1, 3], Operations: ['6/2=3'] Exploring Operation: 45+1=46, Resulting Numbers: [3, 46] Generated Node #0,1,0: 58:[3, 46] Operation: 45+1=46 Exploring Operation: 45+3=48, Resulting Numbers: [1, 48] Generated Node #0,1,1: 58:[1, 48] Operation: 45+3=48 Exploring Operation: 3-1=2, Resulting Numbers: [45, 2] Generated Node #0,1,2: 58:[45, 2] Operation: 3-1=2 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 58:[1, 48], Operations: ['6/2=3', '45+3=48'] Exploring Operation: 1*48=48, Resulting Numbers: [48] 48,58 unequal: No Solution Exploring Operation: 48/1=48, Resulting Numbers: [48] 48,58 unequal: No Solution Exploring Operation: 1+48=49, Resulting Numbers: [49] 49,58 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: 58:[3, 46], Operations: ['6/2=3', '45+1=46'] Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,58 unequal: No Solution Exploring Operation: 3*46=138, Resulting Numbers: [138] 138,58 unequal: No Solution Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,58 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: 58:[45, 2], Operations: ['6/2=3', '3-1=2'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,58 unequal: No Solution Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,58 unequal: No Solution Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,58 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_3
sum_heuristic
[ 26, 14, 58, 7 ]
55
[ "14/7=2", "58/2=29", "26+29=55" ]
Current State: 55:[26, 14, 58, 7], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [26, 58, 2] Generated Node #2: [26, 58, 2] from Operation: 14/7=2 Current State: 55:[26, 58, 2], Operations: ['14/7=2'] Exploring Operation: 58/2=29, Resulting Numbers: [26, 29] Generated Node #3: [26, 29] from Operation: 58/2=29 Current State: 55:[26, 29], Operations: ['14/7=2', '58/2=29'] Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[26, 14, 58, 7], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [14, 58, 19] Generated Node #0,0: 55:[14, 58, 19] Operation: 26-7=19 Exploring Operation: 26-14=12, Resulting Numbers: [58, 7, 12] Generated Node #0,1: 55:[58, 7, 12] Operation: 26-14=12 Start Sub Search at level 1: Moving to Node #0,1 Current State: 55:[58, 7, 12], Operations: ['26-14=12'] Exploring Operation: 58-7=51, Resulting Numbers: [12, 51] Generated Node #0,1,0: 55:[12, 51] Operation: 58-7=51 Exploring Operation: 12-7=5, Resulting Numbers: [58, 5] Generated Node #0,1,1: 55:[58, 5] Operation: 12-7=5 Moving to Node #0,1,1 Current State: 55:[58, 5], Operations: ['26-14=12', '12-7=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,55 unequal: No Solution Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,55 unequal: No Solution Moving to Node #0,1,0 Current State: 55:[12, 51], Operations: ['26-14=12', '58-7=51'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,55 unequal: No Solution Exploring Operation: 12+51=63, Resulting Numbers: [63] 63,55 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: 55:[14, 58, 19], Operations: ['26-7=19'] Exploring Operation: 19-14=5, Resulting Numbers: [58, 5] Generated Node #0,0,0: 55:[58, 5] Operation: 19-14=5 Exploring Operation: 58-14=44, Resulting Numbers: [19, 44] Generated Node #0,0,1: 55:[19, 44] Operation: 58-14=44 Moving to Node #0,0,0 Current State: 55:[58, 5], Operations: ['26-7=19', '19-14=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,55 unequal: No Solution Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,55 unequal: No Solution Moving to Node #0,0,1 Current State: 55:[19, 44], Operations: ['26-7=19', '58-14=44'] Exploring Operation: 44-19=25, Resulting Numbers: [25] 25,55 unequal: No Solution Exploring Operation: 19+44=63, Resulting Numbers: [63] 63,55 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
[ 95, 87, 50, 58 ]
64
[ "95-87=8", "58-50=8", "8*8=64" ]
Current State: 64:[95, 87, 50, 58], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [50, 58, 8] Generated Node #2: [50, 58, 8] from Operation: 95-87=8 Current State: 64:[50, 58, 8], Operations: ['95-87=8'] Exploring Operation: 58-50=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 58-50=8 Current State: 64:[8, 8], Operations: ['95-87=8', '58-50=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[95, 87, 50, 58], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [50, 58, 8] Generated Node #0,0: 64:[50, 58, 8] Operation: 95-87=8 Exploring Operation: 95-58=37, Resulting Numbers: [87, 50, 37] Generated Node #0,1: 64:[87, 50, 37] Operation: 95-58=37 Exploring Operation: 87-58=29, Resulting Numbers: [95, 50, 29] Generated Node #0,2: 64:[95, 50, 29] Operation: 87-58=29 Exploring Operation: 87-50=37, Resulting Numbers: [95, 58, 37] Generated Node #0,3: 64:[95, 58, 37] Operation: 87-50=37 Exploring Operation: 95-50=45, Resulting Numbers: [87, 58, 45] Generated Node #0,4: 64:[87, 58, 45] Operation: 95-50=45 Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[50, 58, 8], Operations: ['95-87=8'] Exploring Operation: 50+8=58, Resulting Numbers: [58, 58] Generated Node #0,0,0: 64:[58, 58] Operation: 50+8=58 Exploring Operation: 58-50=8, Resulting Numbers: [8, 8] Generated Node #0,0,1: 64:[8, 8] Operation: 58-50=8 Exploring Operation: 50-8=42, Resulting Numbers: [58, 42] Generated Node #0,0,2: 64:[58, 42] Operation: 50-8=42 Exploring Operation: 58-8=50, Resulting Numbers: [50, 50] Generated Node #0,0,3: 64:[50, 50] Operation: 58-8=50 Exploring Operation: 58+8=66, Resulting Numbers: [50, 66] Generated Node #0,0,4: 64:[50, 66] Operation: 58+8=66 Moving to Node #0,0,1 Current State: 64:[8, 8], Operations: ['95-87=8', '58-50=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[95, 87, 50, 58], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [50, 58, 8] Generated Node #0,0: 64:[50, 58, 8] Operation: 95-87=8 Moving to Node #0,0 Current State: 64:[50, 58, 8], Operations: ['95-87=8'] Exploring Operation: 58-50=8, Resulting Numbers: [8, 8] Generated Node #0,0,1: 64:[8, 8] Operation: 58-50=8 Moving to Node #0,0,1 Current State: 64:[8, 8], Operations: ['95-87=8', '58-50=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_5
mult_heuristic
[ 15, 87, 35, 80 ]
70
[ "87-80=7", "15*7=105", "105-35=70" ]
Current State: 70:[15, 87, 35, 80], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [15, 35, 7] Generated Node #2: [15, 35, 7] from Operation: 87-80=7 Current State: 70:[15, 35, 7], Operations: ['87-80=7'] Exploring Operation: 15*7=105, Resulting Numbers: [35, 105] Generated Node #3: [35, 105] from Operation: 15*7=105 Current State: 70:[35, 105], Operations: ['87-80=7', '15*7=105'] Exploring Operation: 105-35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[15, 87, 35, 80], Operations: [] Exploring Operation: 87-15=72, Resulting Numbers: [35, 80, 72] Generated Node #0,0: 70:[35, 80, 72] Operation: 87-15=72 Exploring Operation: 87-80=7, Resulting Numbers: [15, 35, 7] Generated Node #0,1: 70:[15, 35, 7] Operation: 87-80=7 Moving to Node #0,1 Current State: 70:[15, 35, 7], Operations: ['87-80=7'] Exploring Operation: 15-7=8, Resulting Numbers: [35, 8] Generated Node #0,1,0: 70:[35, 8] Operation: 15-7=8 Exploring Operation: 35/7=5, Resulting Numbers: [15, 5] Generated Node #0,1,1: 70:[15, 5] Operation: 35/7=5 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 70:[35, 8], Operations: ['87-80=7', '15-7=8'] Exploring Operation: 35+8=43, Resulting Numbers: [43] 43,70 unequal: No Solution Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,70 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: 70:[15, 5], Operations: ['87-80=7', '35/7=5'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,70 unequal: No Solution Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,70 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: 70:[35, 80, 72], Operations: ['87-15=72'] Exploring Operation: 80-35=45, Resulting Numbers: [72, 45] Generated Node #0,0,0: 70:[72, 45] Operation: 80-35=45 Exploring Operation: 80-72=8, Resulting Numbers: [35, 8] Generated Node #0,0,1: 70:[35, 8] Operation: 80-72=8 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 70:[35, 8], Operations: ['87-15=72', '80-72=8'] Exploring Operation: 35+8=43, Resulting Numbers: [43] 43,70 unequal: No Solution Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,70 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: 70:[72, 45], Operations: ['87-15=72', '80-35=45'] Exploring Operation: 72+45=117, Resulting Numbers: [117] 117,70 unequal: No Solution Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,70 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
[ 54, 6, 76, 81 ]
97
[ "54+6=60", "76+81=157", "157-60=97" ]
Current State: 97:[54, 6, 76, 81], Operations: [] Exploring Operation: 54+6=60, Resulting Numbers: [76, 81, 60] Generated Node #2: [76, 81, 60] from Operation: 54+6=60 Current State: 97:[76, 81, 60], Operations: ['54+6=60'] Exploring Operation: 76+81=157, Resulting Numbers: [60, 157] Generated Node #3: [60, 157] from Operation: 76+81=157 Current State: 97:[60, 157], Operations: ['54+6=60', '76+81=157'] Exploring Operation: 157-60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[54, 6, 76, 81], Operations: [] Exploring Operation: 6+81=87, Resulting Numbers: [54, 76, 87] Generated Node #0,0: 97:[54, 76, 87] Operation: 6+81=87 Exploring Operation: 6+76=82, Resulting Numbers: [54, 81, 82] Generated Node #0,1: 97:[54, 81, 82] Operation: 6+76=82 Exploring Operation: 54-6=48, Resulting Numbers: [76, 81, 48] Generated Node #0,2: 97:[76, 81, 48] Operation: 54-6=48 Exploring Operation: 54+6=60, Resulting Numbers: [76, 81, 60] Generated Node #0,3: 97:[76, 81, 60] Operation: 54+6=60 Start Sub Search at level 1: Moving to Node #0,0 Current State: 97:[54, 76, 87], Operations: ['6+81=87'] Exploring Operation: 54+87=141, Resulting Numbers: [76, 141] Generated Node #0,0,0: 97:[76, 141] Operation: 54+87=141 Exploring Operation: 76-54=22, Resulting Numbers: [87, 22] Generated Node #0,0,1: 97:[87, 22] Operation: 76-54=22 Exploring Operation: 87-54=33, Resulting Numbers: [76, 33] Generated Node #0,0,2: 97:[76, 33] Operation: 87-54=33 Exploring Operation: 54+76=130, Resulting Numbers: [87, 130] Generated Node #0,0,3: 97:[87, 130] Operation: 54+76=130 Moving to Node #0,0,3 Current State: 97:[87, 130], Operations: ['6+81=87', '54+76=130'] Exploring Operation: 87+130=217, Resulting Numbers: [217] 217,97 unequal: No Solution Exploring Operation: 130-87=43, Resulting Numbers: [43] 43,97 unequal: No Solution Exploring Operation: 87*130=11310, Resulting Numbers: [11310] 11310,97 unequal: No Solution Moving to Node #0,0,0 Current State: 97:[76, 141], Operations: ['6+81=87', '54+87=141'] Exploring Operation: 141-76=65, Resulting Numbers: [65] 65,97 unequal: No Solution Exploring Operation: 76*141=10716, Resulting Numbers: [10716] 10716,97 unequal: No Solution Exploring Operation: 76+141=217, Resulting Numbers: [217] 217,97 unequal: No Solution Moving to Node #0,0,2 Current State: 97:[76, 33], Operations: ['6+81=87', '87-54=33'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,97 unequal: No Solution Exploring Operation: 76*33=2508, Resulting Numbers: [2508] 2508,97 unequal: No Solution Exploring Operation: 76+33=109, Resulting Numbers: [109] 109,97 unequal: No Solution Moving to Node #0,0,1 Current State: 97:[87, 22], Operations: ['6+81=87', '76-54=22'] Exploring Operation: 87*22=1914, Resulting Numbers: [1914] 1914,97 unequal: No Solution Exploring Operation: 87+22=109, Resulting Numbers: [109] 109,97 unequal: No Solution Exploring Operation: 87-22=65, Resulting Numbers: [65] 65,97 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: 97:[54, 81, 82], Operations: ['6+76=82'] Exploring Operation: 54+82=136, Resulting Numbers: [81, 136] Generated Node #0,1,0: 97:[81, 136] Operation: 54+82=136 Exploring Operation: 82-54=28, Resulting Numbers: [81, 28] Generated Node #0,1,1: 97:[81, 28] Operation: 82-54=28 Exploring Operation: 54+81=135, Resulting Numbers: [82, 135] Generated Node #0,1,2: 97:[82, 135] Operation: 54+81=135 Exploring Operation: 81-54=27, Resulting Numbers: [82, 27] Generated Node #0,1,3: 97:[82, 27] Operation: 81-54=27 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 97:[82, 135], Operations: ['6+76=82', '54+81=135'] Exploring Operation: 82+135=217, Resulting Numbers: [217] 217,97 unequal: No Solution Exploring Operation: 135-82=53, Resulting Numbers: [53] 53,97 unequal: No Solution Exploring Operation: 82*135=11070, Resulting Numbers: [11070] 11070,97 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: 97:[81, 136], Operations: ['6+76=82', '54+82=136'] Exploring Operation: 136-81=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 81*136=11016, Resulting Numbers: [11016] 11016,97 unequal: No Solution Exploring Operation: 81+136=217, Resulting Numbers: [217] 217,97 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: 97:[81, 28], Operations: ['6+76=82', '82-54=28'] Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,97 unequal: No Solution Exploring Operation: 81*28=2268, Resulting Numbers: [2268] 2268,97 unequal: No Solution Exploring Operation: 81+28=109, Resulting Numbers: [109] 109,97 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: 97:[82, 27], Operations: ['6+76=82', '81-54=27'] Exploring Operation: 82*27=2214, Resulting Numbers: [2214] 2214,97 unequal: No Solution Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 82+27=109, Resulting Numbers: [109] 109,97 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: 97:[76, 81, 60], Operations: ['54+6=60'] Exploring Operation: 76-60=16, Resulting Numbers: [81, 16] Generated Node #0,3,0: 97:[81, 16] Operation: 76-60=16 Exploring Operation: 76+60=136, Resulting Numbers: [81, 136] Generated Node #0,3,1: 97:[81, 136] Operation: 76+60=136 Exploring Operation: 76+81=157, Resulting Numbers: [60, 157] Generated Node #0,3,2: 97:[60, 157] Operation: 76+81=157 Exploring Operation: 81+60=141, Resulting Numbers: [76, 141] Generated Node #0,3,3: 97:[76, 141] Operation: 81+60=141 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 97:[81, 136], Operations: ['54+6=60', '76+60=136'] Exploring Operation: 81+136=217, Resulting Numbers: [217] 217,97 unequal: No Solution Exploring Operation: 136-81=55, Resulting Numbers: [55] 55,97 unequal: No Solution Exploring Operation: 81*136=11016, Resulting Numbers: [11016] 11016,97 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: 97:[76, 141], Operations: ['54+6=60', '81+60=141'] Exploring Operation: 76*141=10716, Resulting Numbers: [10716] 10716,97 unequal: No Solution Exploring Operation: 141-76=65, Resulting Numbers: [65] 65,97 unequal: No Solution Exploring Operation: 76+141=217, Resulting Numbers: [217] 217,97 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 #0,3,0 Current State: 97:[81, 16], Operations: ['54+6=60', '76-60=16'] Exploring Operation: 81+16=97, Resulting Numbers: [97] 97,97 equal: Goal Reached Moving to Node #0 Current State: 97:[54, 6, 76, 81], Operations: [] Exploring Operation: 54+6=60, Resulting Numbers: [76, 81, 60] Generated Node #0,3: 97:[76, 81, 60] Operation: 54+6=60 Moving to Node #0,3 Current State: 97:[76, 81, 60], Operations: ['54+6=60'] Exploring Operation: 76-60=16, Resulting Numbers: [81, 16] Generated Node #0,3,0: 97:[81, 16] Operation: 76-60=16 Moving to Node #0,3,0 Current State: 97:[81, 16], Operations: ['54+6=60', '76-60=16'] Exploring Operation: 81+16=97, Resulting Numbers: [97] 97,97 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.955729
hs_4
sum_heuristic
[ 8, 98, 97, 98 ]
89
[ "8+98=106", "97+98=195", "195-106=89" ]
Current State: 89:[8, 98, 97, 98], Operations: [] Exploring Operation: 8+98=106, Resulting Numbers: [97, 106] Generated Node #2: [97, 106] from Operation: 8+98=106 Current State: 89:[97, 106], Operations: ['8+98=106'] Exploring Operation: 97+98=195, Resulting Numbers: [106, 195] Generated Node #3: [106, 195] from Operation: 97+98=195 Current State: 89:[106, 195], Operations: ['8+98=106', '97+98=195'] Exploring Operation: 195-106=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[8, 98, 97, 98], Operations: [] Exploring Operation: 98-8=90, Resulting Numbers: [98, 97, 90] Generated Node #0,0: 89:[98, 97, 90] Operation: 98-8=90 Exploring Operation: 98-8=90, Resulting Numbers: [97, 98, 90] Generated Node #0,1: 89:[97, 98, 90] Operation: 98-8=90 Exploring Operation: 8+98=106, Resulting Numbers: [97, 98, 106] Generated Node #0,2: 89:[97, 98, 106] Operation: 8+98=106 Exploring Operation: 97-8=89, Resulting Numbers: [98, 98, 89] Generated Node #0,3: 89:[98, 98, 89] Operation: 97-8=89 Start Sub Search at level 1: Moving to Node #0,0 Current State: 89:[98, 97, 90], Operations: ['98-8=90'] Exploring Operation: 97-90=7, Resulting Numbers: [98, 7] Generated Node #0,0,0: 89:[98, 7] Operation: 97-90=7 Exploring Operation: 98+97=195, Resulting Numbers: [90, 195] Generated Node #0,0,1: 89:[90, 195] Operation: 98+97=195 Exploring Operation: 98-90=8, Resulting Numbers: [97, 8] Generated Node #0,0,2: 89:[97, 8] Operation: 98-90=8 Exploring Operation: 98-97=1, Resulting Numbers: [90, 1] Generated Node #0,0,3: 89:[90, 1] Operation: 98-97=1 Moving to Node #0,0,2 Current State: 89:[97, 8], Operations: ['98-8=90', '98-90=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached Moving to Node #0 Current State: 89:[8, 98, 97, 98], Operations: [] Exploring Operation: 98-8=90, Resulting Numbers: [98, 97, 90] Generated Node #0,0: 89:[98, 97, 90] Operation: 98-8=90 Moving to Node #0,0 Current State: 89:[98, 97, 90], Operations: ['98-8=90'] Exploring Operation: 98-90=8, Resulting Numbers: [97, 8] Generated Node #0,0,2: 89:[97, 8] Operation: 98-90=8 Moving to Node #0,0,2 Current State: 89:[97, 8], Operations: ['98-8=90', '98-90=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
sum_heuristic
[ 9, 14, 44, 27 ]
94
[ "9+14=23", "44+27=71", "23+71=94" ]
Current State: 94:[9, 14, 44, 27], Operations: [] Exploring Operation: 9+14=23, Resulting Numbers: [44, 27, 23] Generated Node #2: [44, 27, 23] from Operation: 9+14=23 Current State: 94:[44, 27, 23], Operations: ['9+14=23'] Exploring Operation: 44+27=71, Resulting Numbers: [23, 71] Generated Node #3: [23, 71] from Operation: 44+27=71 Current State: 94:[23, 71], Operations: ['9+14=23', '44+27=71'] Exploring Operation: 23+71=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[9, 14, 44, 27], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [14, 44, 3] Generated Node #0,0: 94:[14, 44, 3] Operation: 27/9=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[14, 44, 3], Operations: ['27/9=3'] Exploring Operation: 14*3=42, Resulting Numbers: [44, 42] Generated Node #0,0,0: 94:[44, 42] Operation: 14*3=42 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 94:[44, 42], Operations: ['27/9=3', '14*3=42'] Exploring Operation: 44-42=2, Resulting Numbers: [2] 2,94 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
[ 80, 17, 32, 45 ]
35
[ "32*45=1440", "1440/80=18", "17+18=35" ]
Current State: 35:[80, 17, 32, 45], Operations: [] Exploring Operation: 32*45=1440, Resulting Numbers: [80, 17, 1440] Generated Node #2: [80, 17, 1440] from Operation: 32*45=1440 Current State: 35:[80, 17, 1440], Operations: ['32*45=1440'] Exploring Operation: 1440/80=18, Resulting Numbers: [17, 18] Generated Node #3: [17, 18] from Operation: 1440/80=18 Current State: 35:[17, 18], Operations: ['32*45=1440', '1440/80=18'] Exploring Operation: 17+18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[80, 17, 32, 45], Operations: [] Exploring Operation: 80-32=48, Resulting Numbers: [17, 45, 48] Generated Node #0,0: 35:[17, 45, 48] Operation: 80-32=48 Exploring Operation: 80-17=63, Resulting Numbers: [32, 45, 63] Generated Node #0,1: 35:[32, 45, 63] Operation: 80-17=63 Exploring Operation: 80-45=35, Resulting Numbers: [17, 32, 35] Generated Node #0,2: 35:[17, 32, 35] Operation: 80-45=35 Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[17, 32, 35], Operations: ['80-45=35'] Exploring Operation: 17+32=49, Resulting Numbers: [35, 49] Generated Node #0,2,0: 35:[35, 49] Operation: 17+32=49 Exploring Operation: 35-32=3, Resulting Numbers: [17, 3] Generated Node #0,2,1: 35:[17, 3] Operation: 35-32=3 Exploring Operation: 32-17=15, Resulting Numbers: [35, 15] Generated Node #0,2,2: 35:[35, 15] Operation: 32-17=15 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[35, 15], Operations: ['80-45=35', '32-17=15'] Exploring Operation: 35+15=50, Resulting Numbers: [50] 50,35 unequal: No Solution Exploring Operation: 35*15=525, Resulting Numbers: [525] 525,35 unequal: No Solution Exploring Operation: 35-15=20, Resulting Numbers: [20] 20,35 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:[17, 3], Operations: ['80-45=35', '35-32=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,35 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:[35, 49], Operations: ['80-45=35', '17+32=49'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 35+49=84, Resulting Numbers: [84] 84,35 unequal: No Solution Exploring Operation: 35*49=1715, Resulting Numbers: [1715] 1715,35 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 #0,0 Current State: 35:[17, 45, 48], Operations: ['80-32=48'] Exploring Operation: 45-17=28, Resulting Numbers: [48, 28] Generated Node #0,0,0: 35:[48, 28] Operation: 45-17=28 Exploring Operation: 48-45=3, Resulting Numbers: [17, 3] Generated Node #0,0,1: 35:[17, 3] Operation: 48-45=3 Exploring Operation: 48-17=31, Resulting Numbers: [45, 31] Generated Node #0,0,2: 35:[45, 31] Operation: 48-17=31 Moving to Node #0,0,1 Current State: 35:[17, 3], Operations: ['80-32=48', '48-45=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,35 unequal: No Solution Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,35 unequal: No Solution Moving to Node #0,0,2 Current State: 35:[45, 31], Operations: ['80-32=48', '48-17=31'] Exploring Operation: 45-31=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 45*31=1395, Resulting Numbers: [1395] 1395,35 unequal: No Solution Exploring Operation: 45+31=76, Resulting Numbers: [76] 76,35 unequal: No Solution Moving to Node #0,0,0 Current State: 35:[48, 28], Operations: ['80-32=48', '45-17=28'] Exploring Operation: 48+28=76, Resulting Numbers: [76] 76,35 unequal: No Solution Exploring Operation: 48*28=1344, Resulting Numbers: [1344] 1344,35 unequal: No Solution Exploring Operation: 48-28=20, Resulting Numbers: [20] 20,35 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: 35:[32, 45, 63], Operations: ['80-17=63'] Exploring Operation: 45-32=13, Resulting Numbers: [63, 13] Generated Node #0,1,0: 35:[63, 13] Operation: 45-32=13 Exploring Operation: 63-32=31, Resulting Numbers: [45, 31] Generated Node #0,1,1: 35:[45, 31] Operation: 63-32=31 Exploring Operation: 63-45=18, Resulting Numbers: [32, 18] Generated Node #0,1,2: 35:[32, 18] Operation: 63-45=18 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 35:[45, 31], Operations: ['80-17=63', '63-32=31'] Exploring Operation: 45*31=1395, Resulting Numbers: [1395] 1395,35 unequal: No Solution Exploring Operation: 45-31=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 45+31=76, Resulting Numbers: [76] 76,35 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 #0,1,2 Current State: 35:[32, 18], Operations: ['80-17=63', '63-45=18'] Exploring Operation: 32-18=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 32+18=50, Resulting Numbers: [50] 50,35 unequal: No Solution Exploring Operation: 32*18=576, Resulting Numbers: [576] 576,35 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 #0,1,0 Current State: 35:[63, 13], Operations: ['80-17=63', '45-32=13'] Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,35 unequal: No Solution Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,35 unequal: No Solution Exploring Operation: 63*13=819, Resulting Numbers: [819] 819,35 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 No solution found.
0
hs_3
mult_heuristic
[ 85, 15, 69, 64 ]
33
[ "85+15=100", "69+64=133", "133-100=33" ]
Current State: 33:[85, 15, 69, 64], Operations: [] Exploring Operation: 85+15=100, Resulting Numbers: [69, 64, 100] Generated Node #2: [69, 64, 100] from Operation: 85+15=100 Current State: 33:[69, 64, 100], Operations: ['85+15=100'] Exploring Operation: 69+64=133, Resulting Numbers: [100, 133] Generated Node #3: [100, 133] from Operation: 69+64=133 Current State: 33:[100, 133], Operations: ['85+15=100', '69+64=133'] Exploring Operation: 133-100=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[85, 15, 69, 64], Operations: [] Exploring Operation: 85-69=16, Resulting Numbers: [15, 64, 16] Generated Node #0,0: 33:[15, 64, 16] Operation: 85-69=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[15, 64, 16], Operations: ['85-69=16'] Exploring Operation: 64/16=4, Resulting Numbers: [15, 4] Generated Node #0,0,0: 33:[15, 4] Operation: 64/16=4 Moving to Node #0,0,0 Current State: 33:[15, 4], Operations: ['85-69=16', '64/16=4'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 64, 81, 94, 31 ]
81
[ "94-64=30", "31-30=1", "81*1=81" ]
Current State: 81:[64, 81, 94, 31], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [81, 31, 30] Generated Node #2: [81, 31, 30] from Operation: 94-64=30 Current State: 81:[81, 31, 30], Operations: ['94-64=30'] Exploring Operation: 31-30=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 31-30=1 Current State: 81:[81, 1], Operations: ['94-64=30', '31-30=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[64, 81, 94, 31], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [81, 31, 30] Generated Node #0,0: 81:[81, 31, 30] Operation: 94-64=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 81:[81, 31, 30], Operations: ['94-64=30'] Exploring Operation: 31-30=1, Resulting Numbers: [81, 1] Generated Node #0,0,0: 81:[81, 1] Operation: 31-30=1 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 81:[81, 1], Operations: ['94-64=30', '31-30=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[64, 81, 94, 31], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [81, 31, 30] Generated Node #0,0: 81:[81, 31, 30] Operation: 94-64=30 Moving to Node #0,0 Current State: 81:[81, 31, 30], Operations: ['94-64=30'] Exploring Operation: 31-30=1, Resulting Numbers: [81, 1] Generated Node #0,0,0: 81:[81, 1] Operation: 31-30=1 Moving to Node #0,0,0 Current State: 81:[81, 1], Operations: ['94-64=30', '31-30=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 7, 10, 9, 57 ]
83
[ "7+10=17", "9+57=66", "17+66=83" ]
Current State: 83:[7, 10, 9, 57], Operations: [] Exploring Operation: 7+10=17, Resulting Numbers: [9, 57, 17] Generated Node #2: [9, 57, 17] from Operation: 7+10=17 Current State: 83:[9, 57, 17], Operations: ['7+10=17'] Exploring Operation: 9+57=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 9+57=66 Current State: 83:[17, 66], Operations: ['7+10=17', '9+57=66'] Exploring Operation: 17+66=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[7, 10, 9, 57], Operations: [] Exploring Operation: 10*9=90, Resulting Numbers: [7, 57, 90] Generated Node #0,0: 83:[7, 57, 90] Operation: 10*9=90 Exploring Operation: 7+9=16, Resulting Numbers: [10, 57, 16] Generated Node #0,1: 83:[10, 57, 16] Operation: 7+9=16 Exploring Operation: 7+10=17, Resulting Numbers: [9, 57, 17] Generated Node #0,2: 83:[9, 57, 17] Operation: 7+10=17 Exploring Operation: 7*10=70, Resulting Numbers: [9, 57, 70] Generated Node #0,3: 83:[9, 57, 70] Operation: 7*10=70 Exploring Operation: 7*9=63, Resulting Numbers: [10, 57, 63] Generated Node #0,4: 83:[10, 57, 63] Operation: 7*9=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[7, 57, 90], Operations: ['10*9=90'] Exploring Operation: 57-7=50, Resulting Numbers: [90, 50] Generated Node #0,0,0: 83:[90, 50] Operation: 57-7=50 Exploring Operation: 90-57=33, Resulting Numbers: [7, 33] Generated Node #0,0,1: 83:[7, 33] Operation: 90-57=33 Exploring Operation: 7+90=97, Resulting Numbers: [57, 97] Generated Node #0,0,2: 83:[57, 97] Operation: 7+90=97 Exploring Operation: 7+57=64, Resulting Numbers: [90, 64] Generated Node #0,0,3: 83:[90, 64] Operation: 7+57=64 Exploring Operation: 90-7=83, Resulting Numbers: [57, 83] Generated Node #0,0,4: 83:[57, 83] Operation: 90-7=83 Moving to Node #0,0,3 Current State: 83:[90, 64], Operations: ['10*9=90', '7+57=64'] Exploring Operation: 90-64=26, Resulting Numbers: [26] 26,83 unequal: No Solution Exploring Operation: 90+64=154, Resulting Numbers: [154] 154,83 unequal: No Solution Exploring Operation: 90*64=5760, Resulting Numbers: [5760] 5760,83 unequal: No Solution Moving to Node #0,0,4 Current State: 83:[57, 83], Operations: ['10*9=90', '90-7=83'] Exploring Operation: 57+83=140, Resulting Numbers: [140] 140,83 unequal: No Solution Exploring Operation: 57*83=4731, Resulting Numbers: [4731] 4731,83 unequal: No Solution Exploring Operation: 83-57=26, Resulting Numbers: [26] 26,83 unequal: No Solution Moving to Node #0,0,0 Current State: 83:[90, 50], Operations: ['10*9=90', '57-7=50'] Exploring Operation: 90*50=4500, Resulting Numbers: [4500] 4500,83 unequal: No Solution Exploring Operation: 90+50=140, Resulting Numbers: [140] 140,83 unequal: No Solution Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,83 unequal: No Solution Moving to Node #0,0,2 Current State: 83:[57, 97], Operations: ['10*9=90', '7+90=97'] Exploring Operation: 57+97=154, Resulting Numbers: [154] 154,83 unequal: No Solution Exploring Operation: 57*97=5529, Resulting Numbers: [5529] 5529,83 unequal: No Solution Exploring Operation: 97-57=40, Resulting Numbers: [40] 40,83 unequal: No Solution Moving to Node #0,0,1 Current State: 83:[7, 33], Operations: ['10*9=90', '90-57=33'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,83 unequal: No Solution Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,83 unequal: No Solution Exploring Operation: 7*33=231, Resulting Numbers: [231] 231,83 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 #0,3 Current State: 83:[9, 57, 70], Operations: ['7*10=70'] Exploring Operation: 9+70=79, Resulting Numbers: [57, 79] Generated Node #0,3,0: 83:[57, 79] Operation: 9+70=79 Exploring Operation: 70-9=61, Resulting Numbers: [57, 61] Generated Node #0,3,1: 83:[57, 61] Operation: 70-9=61 Exploring Operation: 57-9=48, Resulting Numbers: [70, 48] Generated Node #0,3,2: 83:[70, 48] Operation: 57-9=48 Exploring Operation: 9+57=66, Resulting Numbers: [70, 66] Generated Node #0,3,3: 83:[70, 66] Operation: 9+57=66 Exploring Operation: 57+70=127, Resulting Numbers: [9, 127] Generated Node #0,3,4: 83:[9, 127] Operation: 57+70=127 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 83:[57, 79], Operations: ['7*10=70', '9+70=79'] Exploring Operation: 57*79=4503, Resulting Numbers: [4503] 4503,83 unequal: No Solution Exploring Operation: 57+79=136, Resulting Numbers: [136] 136,83 unequal: No Solution Exploring Operation: 79-57=22, Resulting Numbers: [22] 22,83 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: 83:[70, 66], Operations: ['7*10=70', '9+57=66'] Exploring Operation: 70+66=136, Resulting Numbers: [136] 136,83 unequal: No Solution Exploring Operation: 70-66=4, Resulting Numbers: [4] 4,83 unequal: No Solution Exploring Operation: 70*66=4620, Resulting Numbers: [4620] 4620,83 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: 83:[57, 61], Operations: ['7*10=70', '70-9=61'] Exploring Operation: 57*61=3477, Resulting Numbers: [3477] 3477,83 unequal: No Solution Exploring Operation: 57+61=118, Resulting Numbers: [118] 118,83 unequal: No Solution Exploring Operation: 61-57=4, Resulting Numbers: [4] 4,83 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: 83:[70, 48], Operations: ['7*10=70', '57-9=48'] Exploring Operation: 70-48=22, Resulting Numbers: [22] 22,83 unequal: No Solution Exploring Operation: 70+48=118, Resulting Numbers: [118] 118,83 unequal: No Solution Exploring Operation: 70*48=3360, Resulting Numbers: [3360] 3360,83 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 #0,3,4 Current State: 83:[9, 127], Operations: ['7*10=70', '57+70=127'] Exploring Operation: 9+127=136, Resulting Numbers: [136] 136,83 unequal: No Solution Exploring Operation: 127-9=118, Resulting Numbers: [118] 118,83 unequal: No Solution Exploring Operation: 9*127=1143, Resulting Numbers: [1143] 1143,83 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: 83:[10, 57, 63], Operations: ['7*9=63'] Exploring Operation: 10+57=67, Resulting Numbers: [63, 67] Generated Node #0,4,0: 83:[63, 67] Operation: 10+57=67 Exploring Operation: 10+63=73, Resulting Numbers: [57, 73] Generated Node #0,4,1: 83:[57, 73] Operation: 10+63=73 Exploring Operation: 57+63=120, Resulting Numbers: [10, 120] Generated Node #0,4,2: 83:[10, 120] Operation: 57+63=120 Exploring Operation: 63-10=53, Resulting Numbers: [57, 53] Generated Node #0,4,3: 83:[57, 53] Operation: 63-10=53 Exploring Operation: 57-10=47, Resulting Numbers: [63, 47] Generated Node #0,4,4: 83:[63, 47] Operation: 57-10=47 Moving to Node #0,4,0 Current State: 83:[63, 67], Operations: ['7*9=63', '10+57=67'] Exploring Operation: 63*67=4221, Resulting Numbers: [4221] 4221,83 unequal: No Solution Exploring Operation: 63+67=130, Resulting Numbers: [130] 130,83 unequal: No Solution Exploring Operation: 67-63=4, Resulting Numbers: [4] 4,83 unequal: No Solution Moving to Node #0,4,1 Current State: 83:[57, 73], Operations: ['7*9=63', '10+63=73'] Exploring Operation: 57+73=130, Resulting Numbers: [130] 130,83 unequal: No Solution Exploring Operation: 57*73=4161, Resulting Numbers: [4161] 4161,83 unequal: No Solution Exploring Operation: 73-57=16, Resulting Numbers: [16] 16,83 unequal: No Solution Moving to Node #0,4,3 Current State: 83:[57, 53], Operations: ['7*9=63', '63-10=53'] Exploring Operation: 57+53=110, Resulting Numbers: [110] 110,83 unequal: No Solution Exploring Operation: 57-53=4, Resulting Numbers: [4] 4,83 unequal: No Solution Exploring Operation: 57*53=3021, Resulting Numbers: [3021] 3021,83 unequal: No Solution Moving to Node #0,4,4 Current State: 83:[63, 47], Operations: ['7*9=63', '57-10=47'] Exploring Operation: 63+47=110, Resulting Numbers: [110] 110,83 unequal: No Solution Exploring Operation: 63*47=2961, Resulting Numbers: [2961] 2961,83 unequal: No Solution Exploring Operation: 63-47=16, Resulting Numbers: [16] 16,83 unequal: No Solution Moving to Node #0,4,2 Current State: 83:[10, 120], Operations: ['7*9=63', '57+63=120'] Exploring Operation: 120-10=110, Resulting Numbers: [110] 110,83 unequal: No Solution Exploring Operation: 120/10=12, Resulting Numbers: [12] 12,83 unequal: No Solution Exploring Operation: 10*120=1200, Resulting Numbers: [1200] 1200,83 unequal: No Solution Exploring Operation: 10+120=130, Resulting Numbers: [130] 130,83 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 Current State: 83:[10, 57, 16], Operations: ['7+9=16'] Exploring Operation: 57-10=47, Resulting Numbers: [16, 47] Generated Node #0,1,0: 83:[16, 47] Operation: 57-10=47 Exploring Operation: 10+57=67, Resulting Numbers: [16, 67] Generated Node #0,1,1: 83:[16, 67] Operation: 10+57=67 Exploring Operation: 57+16=73, Resulting Numbers: [10, 73] Generated Node #0,1,2: 83:[10, 73] Operation: 57+16=73 Exploring Operation: 10+16=26, Resulting Numbers: [57, 26] Generated Node #0,1,3: 83:[57, 26] Operation: 10+16=26 Exploring Operation: 10*16=160, Resulting Numbers: [57, 160] Generated Node #0,1,4: 83:[57, 160] Operation: 10*16=160 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 83:[16, 67], Operations: ['7+9=16', '10+57=67'] Exploring Operation: 16+67=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Moving to Node #0 Current State: 83:[7, 10, 9, 57], Operations: [] Exploring Operation: 7+9=16, Resulting Numbers: [10, 57, 16] Generated Node #0,1: 83:[10, 57, 16] Operation: 7+9=16 Moving to Node #0,1 Current State: 83:[10, 57, 16], Operations: ['7+9=16'] Exploring Operation: 10+57=67, Resulting Numbers: [16, 67] Generated Node #0,1,1: 83:[16, 67] Operation: 10+57=67 Moving to Node #0,1,1 Current State: 83:[16, 67], Operations: ['7+9=16', '10+57=67'] Exploring Operation: 16+67=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.934028
hs_5
sum_heuristic
[ 64, 35, 37, 21 ]
31
[ "37-21=16", "64/16=4", "35-4=31" ]
Current State: 31:[64, 35, 37, 21], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [64, 35, 16] Generated Node #2: [64, 35, 16] from Operation: 37-21=16 Current State: 31:[64, 35, 16], Operations: ['37-21=16'] Exploring Operation: 64/16=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 64/16=4 Current State: 31:[35, 4], Operations: ['37-21=16', '64/16=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[64, 35, 37, 21], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [64, 35, 16] Generated Node #0,0: 31:[64, 35, 16] Operation: 37-21=16 Exploring Operation: 35-21=14, Resulting Numbers: [64, 37, 14] Generated Node #0,1: 31:[64, 37, 14] Operation: 35-21=14 Exploring Operation: 64-37=27, Resulting Numbers: [35, 21, 27] Generated Node #0,2: 31:[35, 21, 27] Operation: 64-37=27 Exploring Operation: 64-35=29, Resulting Numbers: [37, 21, 29] Generated Node #0,3: 31:[37, 21, 29] Operation: 64-35=29 Exploring Operation: 64-21=43, Resulting Numbers: [35, 37, 43] Generated Node #0,4: 31:[35, 37, 43] Operation: 64-21=43 Moving to Node #0,2 Current State: 31:[35, 21, 27], Operations: ['64-37=27'] Exploring Operation: 35+21=56, Resulting Numbers: [27, 56] Generated Node #0,2,0: 31:[27, 56] Operation: 35+21=56 Exploring Operation: 35-21=14, Resulting Numbers: [27, 14] Generated Node #0,2,1: 31:[27, 14] Operation: 35-21=14 Exploring Operation: 27-21=6, Resulting Numbers: [35, 6] Generated Node #0,2,2: 31:[35, 6] Operation: 27-21=6 Exploring Operation: 35-27=8, Resulting Numbers: [21, 8] Generated Node #0,2,3: 31:[21, 8] Operation: 35-27=8 Exploring Operation: 21+27=48, Resulting Numbers: [35, 48] Generated Node #0,2,4: 31:[35, 48] Operation: 21+27=48 Moving to Node #0,3 Current State: 31:[37, 21, 29], Operations: ['64-35=29'] Exploring Operation: 37-29=8, Resulting Numbers: [21, 8] Generated Node #0,3,0: 31:[21, 8] Operation: 37-29=8 Exploring Operation: 37+21=58, Resulting Numbers: [29, 58] Generated Node #0,3,1: 31:[29, 58] Operation: 37+21=58 Exploring Operation: 29-21=8, Resulting Numbers: [37, 8] Generated Node #0,3,2: 31:[37, 8] Operation: 29-21=8 Exploring Operation: 21+29=50, Resulting Numbers: [37, 50] Generated Node #0,3,3: 31:[37, 50] Operation: 21+29=50 Exploring Operation: 37-21=16, Resulting Numbers: [29, 16] Generated Node #0,3,4: 31:[29, 16] Operation: 37-21=16 Moving to Node #0,4 Current State: 31:[35, 37, 43], Operations: ['64-21=43'] Exploring Operation: 35+43=78, Resulting Numbers: [37, 78] Generated Node #0,4,0: 31:[37, 78] Operation: 35+43=78 Exploring Operation: 37-35=2, Resulting Numbers: [43, 2] Generated Node #0,4,1: 31:[43, 2] Operation: 37-35=2 Exploring Operation: 43-35=8, Resulting Numbers: [37, 8] Generated Node #0,4,2: 31:[37, 8] Operation: 43-35=8 Exploring Operation: 35+37=72, Resulting Numbers: [43, 72] Generated Node #0,4,3: 31:[43, 72] Operation: 35+37=72 Exploring Operation: 43-37=6, Resulting Numbers: [35, 6] Generated Node #0,4,4: 31:[35, 6] Operation: 43-37=6 Moving to Node #0,0 Current State: 31:[64, 35, 16], Operations: ['37-21=16'] Exploring Operation: 64+16=80, Resulting Numbers: [35, 80] Generated Node #0,0,0: 31:[35, 80] Operation: 64+16=80 Exploring Operation: 64/16=4, Resulting Numbers: [35, 4] Generated Node #0,0,1: 31:[35, 4] Operation: 64/16=4 Exploring Operation: 64-35=29, Resulting Numbers: [16, 29] Generated Node #0,0,2: 31:[16, 29] Operation: 64-35=29 Exploring Operation: 35-16=19, Resulting Numbers: [64, 19] Generated Node #0,0,3: 31:[64, 19] Operation: 35-16=19 Exploring Operation: 64-16=48, Resulting Numbers: [35, 48] Generated Node #0,0,4: 31:[35, 48] Operation: 64-16=48 Moving to Node #0,1 Current State: 31:[64, 37, 14], Operations: ['35-21=14'] Exploring Operation: 37-14=23, Resulting Numbers: [64, 23] Generated Node #0,1,0: 31:[64, 23] Operation: 37-14=23 Exploring Operation: 64-37=27, Resulting Numbers: [14, 27] Generated Node #0,1,1: 31:[14, 27] Operation: 64-37=27 Exploring Operation: 37+14=51, Resulting Numbers: [64, 51] Generated Node #0,1,2: 31:[64, 51] Operation: 37+14=51 Exploring Operation: 64-14=50, Resulting Numbers: [37, 50] Generated Node #0,1,3: 31:[37, 50] Operation: 64-14=50 Exploring Operation: 64+14=78, Resulting Numbers: [37, 78] Generated Node #0,1,4: 31:[37, 78] Operation: 64+14=78 Moving to Node #0,3,4 Current State: 31:[29, 16], Operations: ['64-35=29', '37-21=16'] Exploring Operation: 29+16=45, Resulting Numbers: [45] 45,31 unequal: No Solution Exploring Operation: 29*16=464, Resulting Numbers: [464] 464,31 unequal: No Solution Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,0,2 Current State: 31:[16, 29], Operations: ['37-21=16', '64-35=29'] Exploring Operation: 16*29=464, Resulting Numbers: [464] 464,31 unequal: No Solution Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,31 unequal: No Solution Exploring Operation: 16+29=45, Resulting Numbers: [45] 45,31 unequal: No Solution Moving to Node #0,2,1 Current State: 31:[27, 14], Operations: ['64-37=27', '35-21=14'] Exploring Operation: 27+14=41, Resulting Numbers: [41] 41,31 unequal: No Solution Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,31 unequal: No Solution Exploring Operation: 27*14=378, Resulting Numbers: [378] 378,31 unequal: No Solution Moving to Node #0,1,1 Current State: 31:[14, 27], Operations: ['35-21=14', '64-37=27'] Exploring Operation: 14*27=378, Resulting Numbers: [378] 378,31 unequal: No Solution Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,31 unequal: No Solution Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,2,4 Current State: 31:[35, 48], Operations: ['64-37=27', '21+27=48'] Exploring Operation: 35*48=1680, Resulting Numbers: [1680] 1680,31 unequal: No Solution Exploring Operation: 48-35=13, Resulting Numbers: [13] 13,31 unequal: No Solution Exploring Operation: 35+48=83, Resulting Numbers: [83] 83,31 unequal: No Solution Moving to Node #0,0,4 Current State: 31:[35, 48], Operations: ['37-21=16', '64-16=48'] Exploring Operation: 35*48=1680, Resulting Numbers: [1680] 1680,31 unequal: No Solution Exploring Operation: 35+48=83, Resulting Numbers: [83] 83,31 unequal: No Solution Exploring Operation: 48-35=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,3,3 Current State: 31:[37, 50], Operations: ['64-35=29', '21+29=50'] Exploring Operation: 37+50=87, Resulting Numbers: [87] 87,31 unequal: No Solution Exploring Operation: 37*50=1850, Resulting Numbers: [1850] 1850,31 unequal: No Solution Exploring Operation: 50-37=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,1,3 Current State: 31:[37, 50], Operations: ['35-21=14', '64-14=50'] Exploring Operation: 37*50=1850, Resulting Numbers: [1850] 1850,31 unequal: No Solution Exploring Operation: 37+50=87, Resulting Numbers: [87] 87,31 unequal: No Solution Exploring Operation: 50-37=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,2,0 Current State: 31:[27, 56], Operations: ['64-37=27', '35+21=56'] Exploring Operation: 27+56=83, Resulting Numbers: [83] 83,31 unequal: No Solution Exploring Operation: 27*56=1512, Resulting Numbers: [1512] 1512,31 unequal: No Solution Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,31 unequal: No Solution Moving to Node #0,4,4 Current State: 31:[35, 6], Operations: ['64-21=43', '43-37=6'] Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,31 unequal: No Solution Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,31 unequal: No Solution Exploring Operation: 35*6=210, Resulting Numbers: [210] 210,31 unequal: No Solution Moving to Node #0,4,2 Current State: 31:[37, 8], Operations: ['64-21=43', '43-35=8'] Exploring Operation: 37*8=296, Resulting Numbers: [296] 296,31 unequal: No Solution Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,31 unequal: No Solution Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,31 unequal: No Solution Moving to Node #0,3,2 Current State: 31:[37, 8], Operations: ['64-35=29', '29-21=8'] Exploring Operation: 37*8=296, Resulting Numbers: [296] 296,31 unequal: No Solution Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,31 unequal: No Solution Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,31 unequal: No Solution Moving to Node #0,2,2 Current State: 31:[35, 6], Operations: ['64-37=27', '27-21=6'] Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,31 unequal: No Solution Exploring Operation: 35*6=210, Resulting Numbers: [210] 210,31 unequal: No Solution Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,31 unequal: No Solution Moving to Node #0,3,1 Current State: 31:[29, 58], Operations: ['64-35=29', '37+21=58'] Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,31 unequal: No Solution Exploring Operation: 29*58=1682, Resulting Numbers: [1682] 1682,31 unequal: No Solution Exploring Operation: 58/29=2, Resulting Numbers: [2] 2,31 unequal: No Solution Exploring Operation: 29+58=87, Resulting Numbers: [87] 87,31 unequal: No Solution Moving to Node #0,0,1 Current State: 31:[35, 4], Operations: ['37-21=16', '64/16=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,31 unequal: No Solution Exploring Operation: 35*4=140, Resulting Numbers: [140] 140,31 unequal: No Solution Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[64, 35, 37, 21], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [64, 35, 16] Generated Node #0,0: 31:[64, 35, 16] Operation: 37-21=16 Moving to Node #0,0 Current State: 31:[64, 35, 16], Operations: ['37-21=16'] Exploring Operation: 64/16=4, Resulting Numbers: [35, 4] Generated Node #0,0,1: 31:[35, 4] Operation: 64/16=4 Moving to Node #0,0,1 Current State: 31:[35, 4], Operations: ['37-21=16', '64/16=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
0.930556
hs_5
sum_heuristic
[ 15, 30, 71, 13 ]
94
[ "15*13=195", "30+71=101", "195-101=94" ]
Current State: 94:[15, 30, 71, 13], Operations: [] Exploring Operation: 15*13=195, Resulting Numbers: [30, 71, 195] Generated Node #2: [30, 71, 195] from Operation: 15*13=195 Current State: 94:[30, 71, 195], Operations: ['15*13=195'] Exploring Operation: 30+71=101, Resulting Numbers: [195, 101] Generated Node #3: [195, 101] from Operation: 30+71=101 Current State: 94:[195, 101], Operations: ['15*13=195', '30+71=101'] Exploring Operation: 195-101=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[15, 30, 71, 13], Operations: [] Exploring Operation: 15+30=45, Resulting Numbers: [71, 13, 45] Generated Node #0,0: 94:[71, 13, 45] Operation: 15+30=45 Exploring Operation: 30/15=2, Resulting Numbers: [71, 13, 2] Generated Node #0,1: 94:[71, 13, 2] Operation: 30/15=2 Exploring Operation: 71-30=41, Resulting Numbers: [15, 13, 41] Generated Node #0,2: 94:[15, 13, 41] Operation: 71-30=41 Exploring Operation: 30+71=101, Resulting Numbers: [15, 13, 101] Generated Node #0,3: 94:[15, 13, 101] Operation: 30+71=101 Moving to Node #0,2 Current State: 94:[15, 13, 41], Operations: ['71-30=41'] Exploring Operation: 13+41=54, Resulting Numbers: [15, 54] Generated Node #0,2,0: 94:[15, 54] Operation: 13+41=54 Exploring Operation: 15+41=56, Resulting Numbers: [13, 56] Generated Node #0,2,1: 94:[13, 56] Operation: 15+41=56 Exploring Operation: 15+13=28, Resulting Numbers: [41, 28] Generated Node #0,2,2: 94:[41, 28] Operation: 15+13=28 Exploring Operation: 15-13=2, Resulting Numbers: [41, 2] Generated Node #0,2,3: 94:[41, 2] Operation: 15-13=2 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 94:[41, 2], Operations: ['71-30=41', '15-13=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,94 unequal: No Solution Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,94 unequal: No Solution Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,94 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: 94:[15, 54], Operations: ['71-30=41', '13+41=54'] Exploring Operation: 54-15=39, Resulting Numbers: [39] 39,94 unequal: No Solution Exploring Operation: 15*54=810, Resulting Numbers: [810] 810,94 unequal: No Solution Exploring Operation: 15+54=69, Resulting Numbers: [69] 69,94 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: 94:[13, 56], Operations: ['71-30=41', '15+41=56'] Exploring Operation: 13+56=69, Resulting Numbers: [69] 69,94 unequal: No Solution Exploring Operation: 56-13=43, Resulting Numbers: [43] 43,94 unequal: No Solution Exploring Operation: 13*56=728, Resulting Numbers: [728] 728,94 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: 94:[41, 28], Operations: ['71-30=41', '15+13=28'] Exploring Operation: 41*28=1148, Resulting Numbers: [1148] 1148,94 unequal: No Solution Exploring Operation: 41+28=69, Resulting Numbers: [69] 69,94 unequal: No Solution Exploring Operation: 41-28=13, Resulting Numbers: [13] 13,94 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: 94:[15, 13, 101], Operations: ['30+71=101'] Exploring Operation: 15+13=28, Resulting Numbers: [101, 28] Generated Node #0,3,0: 94:[101, 28] Operation: 15+13=28 Exploring Operation: 101-15=86, Resulting Numbers: [13, 86] Generated Node #0,3,1: 94:[13, 86] Operation: 101-15=86 Exploring Operation: 101-13=88, Resulting Numbers: [15, 88] Generated Node #0,3,2: 94:[15, 88] Operation: 101-13=88 Exploring Operation: 15-13=2, Resulting Numbers: [101, 2] Generated Node #0,3,3: 94:[101, 2] Operation: 15-13=2 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 94:[101, 2], Operations: ['30+71=101', '15-13=2'] Exploring Operation: 101+2=103, Resulting Numbers: [103] 103,94 unequal: No Solution Exploring Operation: 101*2=202, Resulting Numbers: [202] 202,94 unequal: No Solution Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,94 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: 94:[13, 86], Operations: ['30+71=101', '101-15=86'] Exploring Operation: 13*86=1118, Resulting Numbers: [1118] 1118,94 unequal: No Solution Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,94 unequal: No Solution Exploring Operation: 13+86=99, Resulting Numbers: [99] 99,94 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: 94:[15, 88], Operations: ['30+71=101', '101-13=88'] Exploring Operation: 88-15=73, Resulting Numbers: [73] 73,94 unequal: No Solution Exploring Operation: 15+88=103, Resulting Numbers: [103] 103,94 unequal: No Solution Exploring Operation: 15*88=1320, Resulting Numbers: [1320] 1320,94 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: 94:[101, 28], Operations: ['30+71=101', '15+13=28'] Exploring Operation: 101*28=2828, Resulting Numbers: [2828] 2828,94 unequal: No Solution Exploring Operation: 101-28=73, Resulting Numbers: [73] 73,94 unequal: No Solution Exploring Operation: 101+28=129, Resulting Numbers: [129] 129,94 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: 94:[71, 13, 2], Operations: ['30/15=2'] Exploring Operation: 13-2=11, Resulting Numbers: [71, 11] Generated Node #0,1,0: 94:[71, 11] Operation: 13-2=11 Exploring Operation: 71+2=73, Resulting Numbers: [13, 73] Generated Node #0,1,1: 94:[13, 73] Operation: 71+2=73 Exploring Operation: 71-13=58, Resulting Numbers: [2, 58] Generated Node #0,1,2: 94:[2, 58] Operation: 71-13=58 Exploring Operation: 71+13=84, Resulting Numbers: [2, 84] Generated Node #0,1,3: 94:[2, 84] Operation: 71+13=84 Moving to Node #0,0 Current State: 94:[71, 13, 45], Operations: ['15+30=45'] Exploring Operation: 71-13=58, Resulting Numbers: [45, 58] Generated Node #0,0,0: 94:[45, 58] Operation: 71-13=58 Exploring Operation: 71-45=26, Resulting Numbers: [13, 26] Generated Node #0,0,1: 94:[13, 26] Operation: 71-45=26 Exploring Operation: 71+45=116, Resulting Numbers: [13, 116] Generated Node #0,0,2: 94:[13, 116] Operation: 71+45=116 Exploring Operation: 71+13=84, Resulting Numbers: [45, 84] Generated Node #0,0,3: 94:[45, 84] Operation: 71+13=84 Moving to Node #0,1,3 Current State: 94:[2, 84], Operations: ['30/15=2', '71+13=84'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,94 unequal: No Solution Exploring Operation: 2+84=86, Resulting Numbers: [86] 86,94 unequal: No Solution Exploring Operation: 2*84=168, Resulting Numbers: [168] 168,94 unequal: No Solution Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,94 unequal: No Solution Moving to Node #0,1,2 Current State: 94:[2, 58], Operations: ['30/15=2', '71-13=58'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,94 unequal: No Solution Exploring Operation: 2+58=60, Resulting Numbers: [60] 60,94 unequal: No Solution Exploring Operation: 2*58=116, Resulting Numbers: [116] 116,94 unequal: No Solution Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,94 unequal: No Solution Moving to Node #0,0,3 Current State: 94:[45, 84], Operations: ['15+30=45', '71+13=84'] Exploring Operation: 45*84=3780, Resulting Numbers: [3780] 3780,94 unequal: No Solution Exploring Operation: 45+84=129, Resulting Numbers: [129] 129,94 unequal: No Solution Exploring Operation: 84-45=39, Resulting Numbers: [39] 39,94 unequal: No Solution Moving to Node #0,0,0 Current State: 94:[45, 58], Operations: ['15+30=45', '71-13=58'] Exploring Operation: 45*58=2610, Resulting Numbers: [2610] 2610,94 unequal: No Solution Exploring Operation: 58-45=13, Resulting Numbers: [13] 13,94 unequal: No Solution Exploring Operation: 45+58=103, Resulting Numbers: [103] 103,94 unequal: No Solution Moving to Node #0,1,0 Current State: 94:[71, 11], Operations: ['30/15=2', '13-2=11'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,94 unequal: No Solution Exploring Operation: 71*11=781, Resulting Numbers: [781] 781,94 unequal: No Solution Exploring Operation: 71+11=82, Resulting Numbers: [82] 82,94 unequal: No Solution Moving to Node #0,1,1 Current State: 94:[13, 73], Operations: ['30/15=2', '71+2=73'] Exploring Operation: 13+73=86, Resulting Numbers: [86] 86,94 unequal: No Solution Exploring Operation: 13*73=949, Resulting Numbers: [949] 949,94 unequal: No Solution Exploring Operation: 73-13=60, Resulting Numbers: [60] 60,94 unequal: No Solution Moving to Node #0,0,1 Current State: 94:[13, 26], Operations: ['15+30=45', '71-45=26'] Exploring Operation: 26/13=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,94 unequal: No Solution Exploring Operation: 13*26=338, Resulting Numbers: [338] 338,94 unequal: No Solution Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,94 unequal: No Solution Moving to Node #0,0,2 Current State: 94:[13, 116], Operations: ['15+30=45', '71+45=116'] Exploring Operation: 116-13=103, Resulting Numbers: [103] 103,94 unequal: No Solution Exploring Operation: 13*116=1508, Resulting Numbers: [1508] 1508,94 unequal: No Solution Exploring Operation: 13+116=129, Resulting Numbers: [129] 129,94 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 17, 78, 96, 58 ]
23
[ "78-17=61", "96-58=38", "61-38=23" ]
Current State: 23:[17, 78, 96, 58], Operations: [] Exploring Operation: 78-17=61, Resulting Numbers: [96, 58, 61] Generated Node #2: [96, 58, 61] from Operation: 78-17=61 Current State: 23:[96, 58, 61], Operations: ['78-17=61'] Exploring Operation: 96-58=38, Resulting Numbers: [61, 38] Generated Node #3: [61, 38] from Operation: 96-58=38 Current State: 23:[61, 38], Operations: ['78-17=61', '96-58=38'] Exploring Operation: 61-38=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
Current State: 23:[17, 78, 96, 58], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [17, 96, 20] Generated Node #0,0: 23:[17, 96, 20] Operation: 78-58=20 Exploring Operation: 96-78=18, Resulting Numbers: [17, 58, 18] Generated Node #0,1: 23:[17, 58, 18] Operation: 96-78=18 Exploring Operation: 96-58=38, Resulting Numbers: [17, 78, 38] Generated Node #0,2: 23:[17, 78, 38] Operation: 96-58=38 Start Sub Search at level 1: Moving to Node #0,1 Current State: 23:[17, 58, 18], Operations: ['96-78=18'] Exploring Operation: 58-17=41, Resulting Numbers: [18, 41] Generated Node #0,1,0: 23:[18, 41] Operation: 58-17=41 Exploring Operation: 17+18=35, Resulting Numbers: [58, 35] Generated Node #0,1,1: 23:[58, 35] Operation: 17+18=35 Exploring Operation: 58-18=40, Resulting Numbers: [17, 40] Generated Node #0,1,2: 23:[17, 40] Operation: 58-18=40 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 23:[18, 41], Operations: ['96-78=18', '58-17=41'] Exploring Operation: 41-18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[17, 78, 96, 58], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [17, 58, 18] Generated Node #0,1: 23:[17, 58, 18] Operation: 96-78=18 Moving to Node #0,1 Current State: 23:[17, 58, 18], Operations: ['96-78=18'] Exploring Operation: 58-17=41, Resulting Numbers: [18, 41] Generated Node #0,1,0: 23:[18, 41] Operation: 58-17=41 Moving to Node #0,1,0 Current State: 23:[18, 41], Operations: ['96-78=18', '58-17=41'] Exploring Operation: 41-18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 5, 89, 39, 67 ]
56
[ "89-5=84", "67-39=28", "84-28=56" ]
Current State: 56:[5, 89, 39, 67], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [39, 67, 84] Generated Node #2: [39, 67, 84] from Operation: 89-5=84 Current State: 56:[39, 67, 84], Operations: ['89-5=84'] Exploring Operation: 67-39=28, Resulting Numbers: [84, 28] Generated Node #3: [84, 28] from Operation: 67-39=28 Current State: 56:[84, 28], Operations: ['89-5=84', '67-39=28'] Exploring Operation: 84-28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[5, 89, 39, 67], Operations: [] Exploring Operation: 89-67=22, Resulting Numbers: [5, 39, 22] Generated Node #0,0: 56:[5, 39, 22] Operation: 89-67=22 Exploring Operation: 89-39=50, Resulting Numbers: [5, 67, 50] Generated Node #0,1: 56:[5, 67, 50] Operation: 89-39=50 Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[5, 39, 22], Operations: ['89-67=22'] Exploring Operation: 39-22=17, Resulting Numbers: [5, 17] Generated Node #0,0,0: 56:[5, 17] Operation: 39-22=17 Exploring Operation: 39+22=61, Resulting Numbers: [5, 61] Generated Node #0,0,1: 56:[5, 61] Operation: 39+22=61 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 56:[5, 17], Operations: ['89-67=22', '39-22=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 5+17=22, Resulting Numbers: [22] 22,56 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: 56:[5, 61], Operations: ['89-67=22', '39+22=61'] Exploring Operation: 5+61=66, Resulting Numbers: [66] 66,56 unequal: No Solution Exploring Operation: 61-5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[5, 89, 39, 67], Operations: [] Exploring Operation: 89-67=22, Resulting Numbers: [5, 39, 22] Generated Node #0,0: 56:[5, 39, 22] Operation: 89-67=22 Moving to Node #0,0 Current State: 56:[5, 39, 22], Operations: ['89-67=22'] Exploring Operation: 39+22=61, Resulting Numbers: [5, 61] Generated Node #0,0,1: 56:[5, 61] Operation: 39+22=61 Moving to Node #0,0,1 Current State: 56:[5, 61], Operations: ['89-67=22', '39+22=61'] Exploring Operation: 61-5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_2
sum_heuristic
[ 2, 71, 11, 37 ]
84
[ "37-11=26", "26/2=13", "71+13=84" ]
Current State: 84:[2, 71, 11, 37], Operations: [] Exploring Operation: 37-11=26, Resulting Numbers: [2, 71, 26] Generated Node #2: [2, 71, 26] from Operation: 37-11=26 Current State: 84:[2, 71, 26], Operations: ['37-11=26'] Exploring Operation: 26/2=13, Resulting Numbers: [71, 13] Generated Node #3: [71, 13] from Operation: 26/2=13 Current State: 84:[71, 13], Operations: ['37-11=26', '26/2=13'] Exploring Operation: 71+13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[2, 71, 11, 37], Operations: [] Exploring Operation: 71+11=82, Resulting Numbers: [2, 37, 82] Generated Node #0,0: 84:[2, 37, 82] Operation: 71+11=82 Exploring Operation: 37-11=26, Resulting Numbers: [2, 71, 26] Generated Node #0,1: 84:[2, 71, 26] Operation: 37-11=26 Exploring Operation: 71-37=34, Resulting Numbers: [2, 11, 34] Generated Node #0,2: 84:[2, 11, 34] Operation: 71-37=34 Moving to Node #0,0 Current State: 84:[2, 37, 82], Operations: ['71+11=82'] Exploring Operation: 82-37=45, Resulting Numbers: [2, 45] Generated Node #0,0,0: 84:[2, 45] Operation: 82-37=45 Exploring Operation: 2+82=84, Resulting Numbers: [37, 84] Generated Node #0,0,1: 84:[37, 84] Operation: 2+82=84 Exploring Operation: 2+37=39, Resulting Numbers: [82, 39] Generated Node #0,0,2: 84:[82, 39] Operation: 2+37=39 Moving to Node #0,2 Current State: 84:[2, 11, 34], Operations: ['71-37=34'] Exploring Operation: 34/2=17, Resulting Numbers: [11, 17] Generated Node #0,2,0: 84:[11, 17] Operation: 34/2=17 Exploring Operation: 34-11=23, Resulting Numbers: [2, 23] Generated Node #0,2,1: 84:[2, 23] Operation: 34-11=23 Exploring Operation: 11+34=45, Resulting Numbers: [2, 45] Generated Node #0,2,2: 84:[2, 45] Operation: 11+34=45 Moving to Node #0,1 Current State: 84:[2, 71, 26], Operations: ['37-11=26'] Exploring Operation: 71-26=45, Resulting Numbers: [2, 45] Generated Node #0,1,0: 84:[2, 45] Operation: 71-26=45 Exploring Operation: 2+26=28, Resulting Numbers: [71, 28] Generated Node #0,1,1: 84:[71, 28] Operation: 2+26=28 Exploring Operation: 2+71=73, Resulting Numbers: [26, 73] Generated Node #0,1,2: 84:[26, 73] Operation: 2+71=73 Moving to Node #0,2,1 Current State: 84:[2, 23], Operations: ['71-37=34', '34-11=23'] Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,84 unequal: No Solution Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,84 unequal: No Solution Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,84 unequal: No Solution Moving to Node #0,1,0 Current State: 84:[2, 45], Operations: ['37-11=26', '71-26=45'] Exploring Operation: 2+45=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,84 unequal: No Solution Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[2, 45], Operations: ['71+11=82', '82-37=45'] Exploring Operation: 2+45=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,84 unequal: No Solution Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,84 unequal: No Solution Moving to Node #0,2,2 Current State: 84:[2, 45], Operations: ['71-37=34', '11+34=45'] Exploring Operation: 2+45=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,84 unequal: No Solution Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,84 unequal: No Solution Moving to Node #0,2,0 Current State: 84:[11, 17], Operations: ['71-37=34', '34/2=17'] Exploring Operation: 11*17=187, Resulting Numbers: [187] 187,84 unequal: No Solution Exploring Operation: 11+17=28, Resulting Numbers: [28] 28,84 unequal: No Solution Exploring Operation: 17-11=6, Resulting Numbers: [6] 6,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[82, 39], Operations: ['71+11=82', '2+37=39'] Exploring Operation: 82+39=121, Resulting Numbers: [121] 121,84 unequal: No Solution Exploring Operation: 82-39=43, Resulting Numbers: [43] 43,84 unequal: No Solution Exploring Operation: 82*39=3198, Resulting Numbers: [3198] 3198,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[37, 84], Operations: ['71+11=82', '2+82=84'] Exploring Operation: 37+84=121, Resulting Numbers: [121] 121,84 unequal: No Solution Exploring Operation: 84-37=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 37*84=3108, Resulting Numbers: [3108] 3108,84 unequal: No Solution Moving to Node #0,1,2 Current State: 84:[26, 73], Operations: ['37-11=26', '2+71=73'] Exploring Operation: 73-26=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 26+73=99, Resulting Numbers: [99] 99,84 unequal: No Solution Exploring Operation: 26*73=1898, Resulting Numbers: [1898] 1898,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[71, 28], Operations: ['37-11=26', '2+26=28'] Exploring Operation: 71-28=43, Resulting Numbers: [43] 43,84 unequal: No Solution Exploring Operation: 71+28=99, Resulting Numbers: [99] 99,84 unequal: No Solution Exploring Operation: 71*28=1988, Resulting Numbers: [1988] 1988,84 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 8, 46, 18, 64 ]
34
[ "8*18=144", "46+64=110", "144-110=34" ]
Current State: 34:[8, 46, 18, 64], Operations: [] Exploring Operation: 8*18=144, Resulting Numbers: [46, 64, 144] Generated Node #2: [46, 64, 144] from Operation: 8*18=144 Current State: 34:[46, 64, 144], Operations: ['8*18=144'] Exploring Operation: 46+64=110, Resulting Numbers: [144, 110] Generated Node #3: [144, 110] from Operation: 46+64=110 Current State: 34:[144, 110], Operations: ['8*18=144', '46+64=110'] Exploring Operation: 144-110=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[8, 46, 18, 64], Operations: [] Exploring Operation: 64-18=46, Resulting Numbers: [8, 46, 46] Generated Node #0,0: 34:[8, 46, 46] Operation: 64-18=46 Exploring Operation: 64-46=18, Resulting Numbers: [8, 18, 18] Generated Node #0,1: 34:[8, 18, 18] Operation: 64-46=18 Exploring Operation: 64/8=8, Resulting Numbers: [46, 18, 8] Generated Node #0,2: 34:[46, 18, 8] Operation: 64/8=8 Start Sub Search at level 1: Moving to Node #0,1 Current State: 34:[8, 18, 18], Operations: ['64-46=18'] Exploring Operation: 18-8=10, Resulting Numbers: [18, 10] Generated Node #0,1,0: 34:[18, 10] Operation: 18-8=10 Exploring Operation: 18-8=10, Resulting Numbers: [18, 10] Generated Node #0,1,1: 34:[18, 10] Operation: 18-8=10 Exploring Operation: 18/18=1, Resulting Numbers: [8, 1] Generated Node #0,1,2: 34:[8, 1] Operation: 18/18=1 Moving to Node #0,1,2 Current State: 34:[8, 1], Operations: ['64-46=18', '18/18=1'] Exploring Operation: 8/1=8, Resulting Numbers: [8] 8,34 unequal: No Solution Exploring Operation: 8-1=7, Resulting Numbers: [7] 7,34 unequal: No Solution Exploring Operation: 8*1=8, Resulting Numbers: [8] 8,34 unequal: No Solution Moving to Node #0,1,0 Current State: 34:[18, 10], Operations: ['64-46=18', '18-8=10'] Exploring Operation: 18*10=180, Resulting Numbers: [180] 180,34 unequal: No Solution Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,34 unequal: No Solution Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,34 unequal: No Solution Moving to Node #0,1,1 Current State: 34:[18, 10], Operations: ['64-46=18', '18-8=10'] Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,34 unequal: No Solution Exploring Operation: 18*10=180, Resulting Numbers: [180] 180,34 unequal: No Solution Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,34 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: 34:[46, 18, 8], Operations: ['64/8=8'] Exploring Operation: 46-18=28, Resulting Numbers: [8, 28] Generated Node #0,2,0: 34:[8, 28] Operation: 46-18=28 Exploring Operation: 46-8=38, Resulting Numbers: [18, 38] Generated Node #0,2,1: 34:[18, 38] Operation: 46-8=38 Exploring Operation: 18-8=10, Resulting Numbers: [46, 10] Generated Node #0,2,2: 34:[46, 10] Operation: 18-8=10 Moving to Node #0,2,1 Current State: 34:[18, 38], Operations: ['64/8=8', '46-8=38'] Exploring Operation: 18+38=56, Resulting Numbers: [56] 56,34 unequal: No Solution Exploring Operation: 38-18=20, Resulting Numbers: [20] 20,34 unequal: No Solution Exploring Operation: 18*38=684, Resulting Numbers: [684] 684,34 unequal: No Solution Moving to Node #0,2,0 Current State: 34:[8, 28], Operations: ['64/8=8', '46-18=28'] Exploring Operation: 8*28=224, Resulting Numbers: [224] 224,34 unequal: No Solution Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,34 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,34 unequal: No Solution Moving to Node #0,2,2 Current State: 34:[46, 10], Operations: ['64/8=8', '18-8=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,34 unequal: No Solution Exploring Operation: 46*10=460, Resulting Numbers: [460] 460,34 unequal: No Solution Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,34 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: 34:[8, 46, 46], Operations: ['64-18=46'] Exploring Operation: 46/46=1, Resulting Numbers: [8, 1] Generated Node #0,0,0: 34:[8, 1] Operation: 46/46=1 Exploring Operation: 46-8=38, Resulting Numbers: [46, 38] Generated Node #0,0,1: 34:[46, 38] Operation: 46-8=38 Exploring Operation: 46-46=0, Resulting Numbers: [8, 0] Generated Node #0,0,2: 34:[8, 0] Operation: 46-46=0 Moving to Node #0,0,0 Current State: 34:[8, 1], Operations: ['64-18=46', '46/46=1'] Exploring Operation: 8*1=8, Resulting Numbers: [8] 8,34 unequal: No Solution Exploring Operation: 8-1=7, Resulting Numbers: [7] 7,34 unequal: No Solution Exploring Operation: 8/1=8, Resulting Numbers: [8] 8,34 unequal: No Solution Moving to Node #0,0,2 Current State: 34:[8, 0], Operations: ['64-18=46', '46-46=0'] Exploring Operation: 8*0=0, Resulting Numbers: [0] 0,34 unequal: No Solution Exploring Operation: 8-0=8, Resulting Numbers: [8] 8,34 unequal: No Solution Exploring Operation: 8+0=8, Resulting Numbers: [8] 8,34 unequal: No Solution Moving to Node #0,0,1 Current State: 34:[46, 38], Operations: ['64-18=46', '46-8=38'] Exploring Operation: 46-38=8, Resulting Numbers: [8] 8,34 unequal: No Solution Exploring Operation: 46*38=1748, Resulting Numbers: [1748] 1748,34 unequal: No Solution Exploring Operation: 46+38=84, Resulting Numbers: [84] 84,34 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
[ 5, 8, 18, 97 ]
43
[ "8-5=3", "18*3=54", "97-54=43" ]
Current State: 43:[5, 8, 18, 97], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [18, 97, 3] Generated Node #2: [18, 97, 3] from Operation: 8-5=3 Current State: 43:[18, 97, 3], Operations: ['8-5=3'] Exploring Operation: 18*3=54, Resulting Numbers: [97, 54] Generated Node #3: [97, 54] from Operation: 18*3=54 Current State: 43:[97, 54], Operations: ['8-5=3', '18*3=54'] Exploring Operation: 97-54=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[5, 8, 18, 97], Operations: [] Exploring Operation: 5+8=13, Resulting Numbers: [18, 97, 13] Generated Node #0,0: 43:[18, 97, 13] Operation: 5+8=13 Exploring Operation: 5+18=23, Resulting Numbers: [8, 97, 23] Generated Node #0,1: 43:[8, 97, 23] Operation: 5+18=23 Exploring Operation: 5*8=40, Resulting Numbers: [18, 97, 40] Generated Node #0,2: 43:[18, 97, 40] Operation: 5*8=40 Exploring Operation: 97-5=92, Resulting Numbers: [8, 18, 92] Generated Node #0,3: 43:[8, 18, 92] Operation: 97-5=92 Moving to Node #0,2 Current State: 43:[18, 97, 40], Operations: ['5*8=40'] Exploring Operation: 97-18=79, Resulting Numbers: [40, 79] Generated Node #0,2,0: 43:[40, 79] Operation: 97-18=79 Exploring Operation: 18+97=115, Resulting Numbers: [40, 115] Generated Node #0,2,1: 43:[40, 115] Operation: 18+97=115 Exploring Operation: 97-40=57, Resulting Numbers: [18, 57] Generated Node #0,2,2: 43:[18, 57] Operation: 97-40=57 Exploring Operation: 18+40=58, Resulting Numbers: [97, 58] Generated Node #0,2,3: 43:[97, 58] Operation: 18+40=58 Moving to Node #0,1 Current State: 43:[8, 97, 23], Operations: ['5+18=23'] Exploring Operation: 8+23=31, Resulting Numbers: [97, 31] Generated Node #0,1,0: 43:[97, 31] Operation: 8+23=31 Exploring Operation: 97-23=74, Resulting Numbers: [8, 74] Generated Node #0,1,1: 43:[8, 74] Operation: 97-23=74 Exploring Operation: 97-8=89, Resulting Numbers: [23, 89] Generated Node #0,1,2: 43:[23, 89] Operation: 97-8=89 Exploring Operation: 8+97=105, Resulting Numbers: [23, 105] Generated Node #0,1,3: 43:[23, 105] Operation: 8+97=105 Moving to Node #0,0 Current State: 43:[18, 97, 13], Operations: ['5+8=13'] Exploring Operation: 97-13=84, Resulting Numbers: [18, 84] Generated Node #0,0,0: 43:[18, 84] Operation: 97-13=84 Exploring Operation: 18+13=31, Resulting Numbers: [97, 31] Generated Node #0,0,1: 43:[97, 31] Operation: 18+13=31 Exploring Operation: 97-18=79, Resulting Numbers: [13, 79] Generated Node #0,0,2: 43:[13, 79] Operation: 97-18=79 Exploring Operation: 18-13=5, Resulting Numbers: [97, 5] Generated Node #0,0,3: 43:[97, 5] Operation: 18-13=5 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 43:[18, 84], Operations: ['5+8=13', '97-13=84'] Exploring Operation: 18*84=1512, Resulting Numbers: [1512] 1512,43 unequal: No Solution Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 18+84=102, Resulting Numbers: [102] 102,43 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:[97, 31], Operations: ['5+8=13', '18+13=31'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 97+31=128, Resulting Numbers: [128] 128,43 unequal: No Solution Exploring Operation: 97*31=3007, Resulting Numbers: [3007] 3007,43 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:[13, 79], Operations: ['5+8=13', '97-18=79'] Exploring Operation: 79-13=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 13+79=92, Resulting Numbers: [92] 92,43 unequal: No Solution Exploring Operation: 13*79=1027, Resulting Numbers: [1027] 1027,43 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:[97, 5], Operations: ['5+8=13', '18-13=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,43 unequal: No Solution Exploring Operation: 97*5=485, Resulting Numbers: [485] 485,43 unequal: No Solution Exploring Operation: 97+5=102, Resulting Numbers: [102] 102,43 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: 43:[8, 18, 92], Operations: ['97-5=92'] Exploring Operation: 92-18=74, Resulting Numbers: [8, 74] Generated Node #0,3,0: 43:[8, 74] Operation: 92-18=74 Exploring Operation: 18-8=10, Resulting Numbers: [92, 10] Generated Node #0,3,1: 43:[92, 10] Operation: 18-8=10 Exploring Operation: 92-8=84, Resulting Numbers: [18, 84] Generated Node #0,3,2: 43:[18, 84] Operation: 92-8=84 Exploring Operation: 8+18=26, Resulting Numbers: [92, 26] Generated Node #0,3,3: 43:[92, 26] Operation: 8+18=26 Moving to Node #0,2,0 Current State: 43:[40, 79], Operations: ['5*8=40', '97-18=79'] Exploring Operation: 79-40=39, Resulting Numbers: [39] 39,43 unequal: No Solution Exploring Operation: 40*79=3160, Resulting Numbers: [3160] 3160,43 unequal: No Solution Exploring Operation: 40+79=119, Resulting Numbers: [119] 119,43 unequal: No Solution Moving to Node #0,2,2 Current State: 43:[18, 57], Operations: ['5*8=40', '97-40=57'] Exploring Operation: 18+57=75, Resulting Numbers: [75] 75,43 unequal: No Solution Exploring Operation: 18*57=1026, Resulting Numbers: [1026] 1026,43 unequal: No Solution Exploring Operation: 57-18=39, Resulting Numbers: [39] 39,43 unequal: No Solution Moving to Node #0,1,1 Current State: 43:[8, 74], Operations: ['5+18=23', '97-23=74'] Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 8+74=82, Resulting Numbers: [82] 82,43 unequal: No Solution Exploring Operation: 8*74=592, Resulting Numbers: [592] 592,43 unequal: No Solution Moving to Node #0,1,2 Current State: 43:[23, 89], Operations: ['5+18=23', '97-8=89'] Exploring Operation: 89-23=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 23*89=2047, Resulting Numbers: [2047] 2047,43 unequal: No Solution Exploring Operation: 23+89=112, Resulting Numbers: [112] 112,43 unequal: No Solution Moving to Node #0,3,2 Current State: 43:[18, 84], Operations: ['97-5=92', '92-8=84'] Exploring Operation: 18+84=102, Resulting Numbers: [102] 102,43 unequal: No Solution Exploring Operation: 18*84=1512, Resulting Numbers: [1512] 1512,43 unequal: No Solution Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,43 unequal: No Solution Moving to Node #0,1,0 Current State: 43:[97, 31], Operations: ['5+18=23', '8+23=31'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 97*31=3007, Resulting Numbers: [3007] 3007,43 unequal: No Solution Exploring Operation: 97+31=128, Resulting Numbers: [128] 128,43 unequal: No Solution Moving to Node #0,3,3 Current State: 43:[92, 26], Operations: ['97-5=92', '8+18=26'] Exploring Operation: 92*26=2392, Resulting Numbers: [2392] 2392,43 unequal: No Solution Exploring Operation: 92+26=118, Resulting Numbers: [118] 118,43 unequal: No Solution Exploring Operation: 92-26=66, Resulting Numbers: [66] 66,43 unequal: No Solution Moving to Node #0,3,0 Current State: 43:[8, 74], Operations: ['97-5=92', '92-18=74'] Exploring Operation: 8+74=82, Resulting Numbers: [82] 82,43 unequal: No Solution Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 8*74=592, Resulting Numbers: [592] 592,43 unequal: No Solution Moving to Node #0,2,3 Current State: 43:[97, 58], Operations: ['5*8=40', '18+40=58'] Exploring Operation: 97*58=5626, Resulting Numbers: [5626] 5626,43 unequal: No Solution Exploring Operation: 97-58=39, Resulting Numbers: [39] 39,43 unequal: No Solution Exploring Operation: 97+58=155, Resulting Numbers: [155] 155,43 unequal: No Solution Moving to Node #0,2,1 Current State: 43:[40, 115], Operations: ['5*8=40', '18+97=115'] Exploring Operation: 40+115=155, Resulting Numbers: [155] 155,43 unequal: No Solution Exploring Operation: 115-40=75, Resulting Numbers: [75] 75,43 unequal: No Solution Exploring Operation: 40*115=4600, Resulting Numbers: [4600] 4600,43 unequal: No Solution Moving to Node #0,3,1 Current State: 43:[92, 10], Operations: ['97-5=92', '18-8=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,43 unequal: No Solution Exploring Operation: 92+10=102, Resulting Numbers: [102] 102,43 unequal: No Solution Exploring Operation: 92*10=920, Resulting Numbers: [920] 920,43 unequal: No Solution Moving to Node #0,1,3 Current State: 43:[23, 105], Operations: ['5+18=23', '8+97=105'] Exploring Operation: 23*105=2415, Resulting Numbers: [2415] 2415,43 unequal: No Solution Exploring Operation: 105-23=82, Resulting Numbers: [82] 82,43 unequal: No Solution Exploring Operation: 23+105=128, Resulting Numbers: [128] 128,43 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 95, 74, 53, 12 ]
62
[ "95-74=21", "53-12=41", "21+41=62" ]
Current State: 62:[95, 74, 53, 12], Operations: [] Exploring Operation: 95-74=21, Resulting Numbers: [53, 12, 21] Generated Node #2: [53, 12, 21] from Operation: 95-74=21 Current State: 62:[53, 12, 21], Operations: ['95-74=21'] Exploring Operation: 53-12=41, Resulting Numbers: [21, 41] Generated Node #3: [21, 41] from Operation: 53-12=41 Current State: 62:[21, 41], Operations: ['95-74=21', '53-12=41'] Exploring Operation: 21+41=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[95, 74, 53, 12], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [74, 12, 42] Generated Node #0,0: 62:[74, 12, 42] Operation: 95-53=42 Exploring Operation: 95-74=21, Resulting Numbers: [53, 12, 21] Generated Node #0,1: 62:[53, 12, 21] Operation: 95-74=21 Moving to Node #0,1 Current State: 62:[53, 12, 21], Operations: ['95-74=21'] Exploring Operation: 12+21=33, Resulting Numbers: [53, 33] Generated Node #0,1,0: 62:[53, 33] Operation: 12+21=33 Exploring Operation: 53-21=32, Resulting Numbers: [12, 32] Generated Node #0,1,1: 62:[12, 32] Operation: 53-21=32 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 62:[53, 33], Operations: ['95-74=21', '12+21=33'] Exploring Operation: 53+33=86, Resulting Numbers: [86] 86,62 unequal: No Solution Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,62 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 #0,1,1 Current State: 62:[12, 32], Operations: ['95-74=21', '53-21=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,62 unequal: No Solution Exploring Operation: 12+32=44, Resulting Numbers: [44] 44,62 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: 62:[74, 12, 42], Operations: ['95-53=42'] Exploring Operation: 74-12=62, Resulting Numbers: [42, 62] Generated Node #0,0,0: 62:[42, 62] Operation: 74-12=62 Exploring Operation: 74-42=32, Resulting Numbers: [12, 32] Generated Node #0,0,1: 62:[12, 32] Operation: 74-42=32 Moving to Node #0,0,0 Current State: 62:[42, 62], Operations: ['95-53=42', '74-12=62'] Exploring Operation: 42+62=104, Resulting Numbers: [104] 104,62 unequal: No Solution Exploring Operation: 62-42=20, Resulting Numbers: [20] 20,62 unequal: No Solution Moving to Node #0,0,1 Current State: 62:[12, 32], Operations: ['95-53=42', '74-42=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,62 unequal: No Solution Exploring Operation: 12+32=44, Resulting Numbers: [44] 44,62 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 15, 26, 91, 58 ]
22
[ "26-15=11", "91-58=33", "33-11=22" ]
Current State: 22:[15, 26, 91, 58], Operations: [] Exploring Operation: 26-15=11, Resulting Numbers: [91, 58, 11] Generated Node #2: [91, 58, 11] from Operation: 26-15=11 Current State: 22:[91, 58, 11], Operations: ['26-15=11'] Exploring Operation: 91-58=33, Resulting Numbers: [11, 33] Generated Node #3: [11, 33] from Operation: 91-58=33 Current State: 22:[11, 33], Operations: ['26-15=11', '91-58=33'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[15, 26, 91, 58], Operations: [] Exploring Operation: 91-58=33, Resulting Numbers: [15, 26, 33] Generated Node #0,0: 22:[15, 26, 33] Operation: 91-58=33 Moving to Node #0,0 Current State: 22:[15, 26, 33], Operations: ['91-58=33'] Exploring Operation: 33-15=18, Resulting Numbers: [26, 18] Generated Node #0,0,0: 22:[26, 18] Operation: 33-15=18 Moving to Node #0,0,0 Current State: 22:[26, 18], Operations: ['91-58=33', '33-15=18'] Exploring Operation: 26-18=8, Resulting Numbers: [8] 8,22 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 42, 76, 83, 79 ]
85
[ "83-76=7", "42/7=6", "79+6=85" ]
Current State: 85:[42, 76, 83, 79], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [42, 79, 7] Generated Node #2: [42, 79, 7] from Operation: 83-76=7 Current State: 85:[42, 79, 7], Operations: ['83-76=7'] Exploring Operation: 42/7=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 42/7=6 Current State: 85:[79, 6], Operations: ['83-76=7', '42/7=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[42, 76, 83, 79], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [42, 79, 7] Generated Node #0,0: 85:[42, 79, 7] Operation: 83-76=7 Exploring Operation: 83-79=4, Resulting Numbers: [42, 76, 4] Generated Node #0,1: 85:[42, 76, 4] Operation: 83-79=4 Exploring Operation: 79-42=37, Resulting Numbers: [76, 83, 37] Generated Node #0,2: 85:[76, 83, 37] Operation: 79-42=37 Exploring Operation: 76-42=34, Resulting Numbers: [83, 79, 34] Generated Node #0,3: 85:[83, 79, 34] Operation: 76-42=34 Exploring Operation: 79-76=3, Resulting Numbers: [42, 83, 3] Generated Node #0,4: 85:[42, 83, 3] Operation: 79-76=3 Start Sub Search at level 1: Moving to Node #0,3 Current State: 85:[83, 79, 34], Operations: ['76-42=34'] Exploring Operation: 83-79=4, Resulting Numbers: [34, 4] Generated Node #0,3,0: 85:[34, 4] Operation: 83-79=4 Exploring Operation: 79-34=45, Resulting Numbers: [83, 45] Generated Node #0,3,1: 85:[83, 45] Operation: 79-34=45 Exploring Operation: 83-34=49, Resulting Numbers: [79, 49] Generated Node #0,3,2: 85:[79, 49] Operation: 83-34=49 Exploring Operation: 79+34=113, Resulting Numbers: [83, 113] Generated Node #0,3,3: 85:[83, 113] Operation: 79+34=113 Exploring Operation: 83+34=117, Resulting Numbers: [79, 117] Generated Node #0,3,4: 85:[79, 117] Operation: 83+34=117 Moving to Node #0,3,0 Current State: 85:[34, 4], Operations: ['76-42=34', '83-79=4'] Exploring Operation: 34*4=136, Resulting Numbers: [136] 136,85 unequal: No Solution Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,85 unequal: No Solution Exploring Operation: 34+4=38, Resulting Numbers: [38] 38,85 unequal: No Solution Moving to Node #0,3,3 Current State: 85:[83, 113], Operations: ['76-42=34', '79+34=113'] Exploring Operation: 83*113=9379, Resulting Numbers: [9379] 9379,85 unequal: No Solution Exploring Operation: 113-83=30, Resulting Numbers: [30] 30,85 unequal: No Solution Exploring Operation: 83+113=196, Resulting Numbers: [196] 196,85 unequal: No Solution Moving to Node #0,3,1 Current State: 85:[83, 45], Operations: ['76-42=34', '79-34=45'] Exploring Operation: 83-45=38, Resulting Numbers: [38] 38,85 unequal: No Solution Exploring Operation: 83+45=128, Resulting Numbers: [128] 128,85 unequal: No Solution Exploring Operation: 83*45=3735, Resulting Numbers: [3735] 3735,85 unequal: No Solution Moving to Node #0,3,2 Current State: 85:[79, 49], Operations: ['76-42=34', '83-34=49'] Exploring Operation: 79-49=30, Resulting Numbers: [30] 30,85 unequal: No Solution Exploring Operation: 79+49=128, Resulting Numbers: [128] 128,85 unequal: No Solution Exploring Operation: 79*49=3871, Resulting Numbers: [3871] 3871,85 unequal: No Solution Moving to Node #0,3,4 Current State: 85:[79, 117], Operations: ['76-42=34', '83+34=117'] Exploring Operation: 79+117=196, Resulting Numbers: [196] 196,85 unequal: No Solution Exploring Operation: 117-79=38, Resulting Numbers: [38] 38,85 unequal: No Solution Exploring Operation: 79*117=9243, Resulting Numbers: [9243] 9243,85 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: 85:[42, 83, 3], Operations: ['79-76=3'] Exploring Operation: 42-3=39, Resulting Numbers: [83, 39] Generated Node #0,4,0: 85:[83, 39] Operation: 42-3=39 Exploring Operation: 42+3=45, Resulting Numbers: [83, 45] Generated Node #0,4,1: 85:[83, 45] Operation: 42+3=45 Exploring Operation: 83-42=41, Resulting Numbers: [3, 41] Generated Node #0,4,2: 85:[3, 41] Operation: 83-42=41 Exploring Operation: 83+3=86, Resulting Numbers: [42, 86] Generated Node #0,4,3: 85:[42, 86] Operation: 83+3=86 Exploring Operation: 42/3=14, Resulting Numbers: [83, 14] Generated Node #0,4,4: 85:[83, 14] Operation: 42/3=14 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 85:[83, 14], Operations: ['79-76=3', '42/3=14'] Exploring Operation: 83*14=1162, Resulting Numbers: [1162] 1162,85 unequal: No Solution Exploring Operation: 83-14=69, Resulting Numbers: [69] 69,85 unequal: No Solution Exploring Operation: 83+14=97, Resulting Numbers: [97] 97,85 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: 85:[83, 39], Operations: ['79-76=3', '42-3=39'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,85 unequal: No Solution Exploring Operation: 83+39=122, Resulting Numbers: [122] 122,85 unequal: No Solution Exploring Operation: 83*39=3237, Resulting Numbers: [3237] 3237,85 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: 85:[3, 41], Operations: ['79-76=3', '83-42=41'] Exploring Operation: 3*41=123, Resulting Numbers: [123] 123,85 unequal: No Solution Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,85 unequal: No Solution Exploring Operation: 3+41=44, Resulting Numbers: [44] 44,85 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: 85:[42, 86], Operations: ['79-76=3', '83+3=86'] Exploring Operation: 86-42=44, Resulting Numbers: [44] 44,85 unequal: No Solution Exploring Operation: 42*86=3612, Resulting Numbers: [3612] 3612,85 unequal: No Solution Exploring Operation: 42+86=128, Resulting Numbers: [128] 128,85 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: 85:[83, 45], Operations: ['79-76=3', '42+3=45'] Exploring Operation: 83-45=38, Resulting Numbers: [38] 38,85 unequal: No Solution Exploring Operation: 83*45=3735, Resulting Numbers: [3735] 3735,85 unequal: No Solution Exploring Operation: 83+45=128, Resulting Numbers: [128] 128,85 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: 85:[76, 83, 37], Operations: ['79-42=37'] Exploring Operation: 83-37=46, Resulting Numbers: [76, 46] Generated Node #0,2,0: 85:[76, 46] Operation: 83-37=46 Exploring Operation: 76-37=39, Resulting Numbers: [83, 39] Generated Node #0,2,1: 85:[83, 39] Operation: 76-37=39 Exploring Operation: 76+37=113, Resulting Numbers: [83, 113] Generated Node #0,2,2: 85:[83, 113] Operation: 76+37=113 Exploring Operation: 83-76=7, Resulting Numbers: [37, 7] Generated Node #0,2,3: 85:[37, 7] Operation: 83-76=7 Exploring Operation: 83+37=120, Resulting Numbers: [76, 120] Generated Node #0,2,4: 85:[76, 120] Operation: 83+37=120 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 85:[37, 7], Operations: ['79-42=37', '83-76=7'] Exploring Operation: 37*7=259, Resulting Numbers: [259] 259,85 unequal: No Solution Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,85 unequal: No Solution Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,85 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: 85:[83, 39], Operations: ['79-42=37', '76-37=39'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,85 unequal: No Solution Exploring Operation: 83+39=122, Resulting Numbers: [122] 122,85 unequal: No Solution Exploring Operation: 83*39=3237, Resulting Numbers: [3237] 3237,85 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: 85:[83, 113], Operations: ['79-42=37', '76+37=113'] Exploring Operation: 83+113=196, Resulting Numbers: [196] 196,85 unequal: No Solution Exploring Operation: 83*113=9379, Resulting Numbers: [9379] 9379,85 unequal: No Solution Exploring Operation: 113-83=30, Resulting Numbers: [30] 30,85 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: 85:[76, 46], Operations: ['79-42=37', '83-37=46'] Exploring Operation: 76+46=122, Resulting Numbers: [122] 122,85 unequal: No Solution Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,85 unequal: No Solution Exploring Operation: 76*46=3496, Resulting Numbers: [3496] 3496,85 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: 85:[76, 120], Operations: ['79-42=37', '83+37=120'] Exploring Operation: 76*120=9120, Resulting Numbers: [9120] 9120,85 unequal: No Solution Exploring Operation: 76+120=196, Resulting Numbers: [196] 196,85 unequal: No Solution Exploring Operation: 120-76=44, Resulting Numbers: [44] 44,85 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: 85:[42, 79, 7], Operations: ['83-76=7'] Exploring Operation: 42-7=35, Resulting Numbers: [79, 35] Generated Node #0,0,0: 85:[79, 35] Operation: 42-7=35 Exploring Operation: 42+79=121, Resulting Numbers: [7, 121] Generated Node #0,0,1: 85:[7, 121] Operation: 42+79=121 Exploring Operation: 79+7=86, Resulting Numbers: [42, 86] Generated Node #0,0,2: 85:[42, 86] Operation: 79+7=86 Exploring Operation: 42/7=6, Resulting Numbers: [79, 6] Generated Node #0,0,3: 85:[79, 6] Operation: 42/7=6 Exploring Operation: 79-42=37, Resulting Numbers: [7, 37] Generated Node #0,0,4: 85:[7, 37] Operation: 79-42=37 Moving to Node #0,0,3 Current State: 85:[79, 6], Operations: ['83-76=7', '42/7=6'] Exploring Operation: 79*6=474, Resulting Numbers: [474] 474,85 unequal: No Solution Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,85 unequal: No Solution Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[42, 76, 83, 79], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [42, 79, 7] Generated Node #0,0: 85:[42, 79, 7] Operation: 83-76=7 Moving to Node #0,0 Current State: 85:[42, 79, 7], Operations: ['83-76=7'] Exploring Operation: 42/7=6, Resulting Numbers: [79, 6] Generated Node #0,0,3: 85:[79, 6] Operation: 42/7=6 Moving to Node #0,0,3 Current State: 85:[79, 6], Operations: ['83-76=7', '42/7=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.93316
hs_5
mult_heuristic
[ 21, 51, 31, 82 ]
82
[ "51-21=30", "31-30=1", "82*1=82" ]
Current State: 82:[21, 51, 31, 82], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [31, 82, 30] Generated Node #2: [31, 82, 30] from Operation: 51-21=30 Current State: 82:[31, 82, 30], Operations: ['51-21=30'] Exploring Operation: 31-30=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 31-30=1 Current State: 82:[82, 1], Operations: ['51-21=30', '31-30=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[21, 51, 31, 82], Operations: [] Exploring Operation: 21+51=72, Resulting Numbers: [31, 82, 72] Generated Node #0,0: 82:[31, 82, 72] Operation: 21+51=72 Exploring Operation: 31-21=10, Resulting Numbers: [51, 82, 10] Generated Node #0,1: 82:[51, 82, 10] Operation: 31-21=10 Exploring Operation: 51+31=82, Resulting Numbers: [21, 82, 82] Generated Node #0,2: 82:[21, 82, 82] Operation: 51+31=82 Exploring Operation: 51-21=30, Resulting Numbers: [31, 82, 30] Generated Node #0,3: 82:[31, 82, 30] Operation: 51-21=30 Exploring Operation: 21+31=52, Resulting Numbers: [51, 82, 52] Generated Node #0,4: 82:[51, 82, 52] Operation: 21+31=52 Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[51, 82, 10], Operations: ['31-21=10'] Exploring Operation: 51-10=41, Resulting Numbers: [82, 41] Generated Node #0,1,0: 82:[82, 41] Operation: 51-10=41 Exploring Operation: 51+10=61, Resulting Numbers: [82, 61] Generated Node #0,1,1: 82:[82, 61] Operation: 51+10=61 Exploring Operation: 82+10=92, Resulting Numbers: [51, 92] Generated Node #0,1,2: 82:[51, 92] Operation: 82+10=92 Exploring Operation: 82-10=72, Resulting Numbers: [51, 72] Generated Node #0,1,3: 82:[51, 72] Operation: 82-10=72 Exploring Operation: 82-51=31, Resulting Numbers: [10, 31] Generated Node #0,1,4: 82:[10, 31] Operation: 82-51=31 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 82:[82, 41], Operations: ['31-21=10', '51-10=41'] Exploring Operation: 82-41=41, Resulting Numbers: [41] 41,82 unequal: No Solution Exploring Operation: 82+41=123, Resulting Numbers: [123] 123,82 unequal: No Solution Exploring Operation: 82*41=3362, Resulting Numbers: [3362] 3362,82 unequal: No Solution Exploring Operation: 82/41=2, Resulting Numbers: [2] 2,82 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 #0,1,4 Current State: 82:[10, 31], Operations: ['31-21=10', '82-51=31'] Exploring Operation: 10*31=310, Resulting Numbers: [310] 310,82 unequal: No Solution Exploring Operation: 10+31=41, Resulting Numbers: [41] 41,82 unequal: No Solution Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,82 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: 82:[82, 61], Operations: ['31-21=10', '51+10=61'] Exploring Operation: 82*61=5002, Resulting Numbers: [5002] 5002,82 unequal: No Solution Exploring Operation: 82+61=143, Resulting Numbers: [143] 143,82 unequal: No Solution Exploring Operation: 82-61=21, Resulting Numbers: [21] 21,82 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: 82:[51, 92], Operations: ['31-21=10', '82+10=92'] Exploring Operation: 51*92=4692, Resulting Numbers: [4692] 4692,82 unequal: No Solution Exploring Operation: 92-51=41, Resulting Numbers: [41] 41,82 unequal: No Solution Exploring Operation: 51+92=143, Resulting Numbers: [143] 143,82 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: 82:[51, 72], Operations: ['31-21=10', '82-10=72'] Exploring Operation: 72-51=21, Resulting Numbers: [21] 21,82 unequal: No Solution Exploring Operation: 51+72=123, Resulting Numbers: [123] 123,82 unequal: No Solution Exploring Operation: 51*72=3672, Resulting Numbers: [3672] 3672,82 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: 82:[21, 82, 82], Operations: ['51+31=82'] Exploring Operation: 82/82=1, Resulting Numbers: [21, 1] Generated Node #0,2,0: 82:[21, 1] Operation: 82/82=1 Exploring Operation: 21+82=103, Resulting Numbers: [82, 103] Generated Node #0,2,1: 82:[82, 103] Operation: 21+82=103 Exploring Operation: 82-21=61, Resulting Numbers: [82, 61] Generated Node #0,2,2: 82:[82, 61] Operation: 82-21=61 Exploring Operation: 21+82=103, Resulting Numbers: [82, 103] Generated Node #0,2,3: 82:[82, 103] Operation: 21+82=103 Exploring Operation: 82-21=61, Resulting Numbers: [82, 61] Generated Node #0,2,4: 82:[82, 61] Operation: 82-21=61 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 82:[21, 1], Operations: ['51+31=82', '82/82=1'] Exploring Operation: 21+1=22, Resulting Numbers: [22] 22,82 unequal: No Solution Exploring Operation: 21/1=21, Resulting Numbers: [21] 21,82 unequal: No Solution Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,82 unequal: No Solution Exploring Operation: 21*1=21, Resulting Numbers: [21] 21,82 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: 82:[82, 61], Operations: ['51+31=82', '82-21=61'] Exploring Operation: 82-61=21, Resulting Numbers: [21] 21,82 unequal: No Solution Exploring Operation: 82+61=143, Resulting Numbers: [143] 143,82 unequal: No Solution Exploring Operation: 82*61=5002, Resulting Numbers: [5002] 5002,82 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: 82:[82, 61], Operations: ['51+31=82', '82-21=61'] Exploring Operation: 82*61=5002, Resulting Numbers: [5002] 5002,82 unequal: No Solution Exploring Operation: 82+61=143, Resulting Numbers: [143] 143,82 unequal: No Solution Exploring Operation: 82-61=21, Resulting Numbers: [21] 21,82 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: 82:[82, 103], Operations: ['51+31=82', '21+82=103'] Exploring Operation: 82*103=8446, Resulting Numbers: [8446] 8446,82 unequal: No Solution Exploring Operation: 103-82=21, Resulting Numbers: [21] 21,82 unequal: No Solution Exploring Operation: 82+103=185, Resulting Numbers: [185] 185,82 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: 82:[82, 103], Operations: ['51+31=82', '21+82=103'] Exploring Operation: 82+103=185, Resulting Numbers: [185] 185,82 unequal: No Solution Exploring Operation: 82*103=8446, Resulting Numbers: [8446] 8446,82 unequal: No Solution Exploring Operation: 103-82=21, Resulting Numbers: [21] 21,82 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: 82:[31, 82, 72], Operations: ['21+51=72'] Exploring Operation: 82-31=51, Resulting Numbers: [72, 51] Generated Node #0,0,0: 82:[72, 51] Operation: 82-31=51 Exploring Operation: 72-31=41, Resulting Numbers: [82, 41] Generated Node #0,0,1: 82:[82, 41] Operation: 72-31=41 Exploring Operation: 31+72=103, Resulting Numbers: [82, 103] Generated Node #0,0,2: 82:[82, 103] Operation: 31+72=103 Exploring Operation: 82-72=10, Resulting Numbers: [31, 10] Generated Node #0,0,3: 82:[31, 10] Operation: 82-72=10 Exploring Operation: 31+82=113, Resulting Numbers: [72, 113] Generated Node #0,0,4: 82:[72, 113] Operation: 31+82=113 Moving to Node #0,0,1 Current State: 82:[82, 41], Operations: ['21+51=72', '72-31=41'] Exploring Operation: 82/41=2, Resulting Numbers: [2] 2,82 unequal: No Solution Exploring Operation: 82*41=3362, Resulting Numbers: [3362] 3362,82 unequal: No Solution Exploring Operation: 82-41=41, Resulting Numbers: [41] 41,82 unequal: No Solution Exploring Operation: 82+41=123, Resulting Numbers: [123] 123,82 unequal: No Solution Moving to Node #0,0,3 Current State: 82:[31, 10], Operations: ['21+51=72', '82-72=10'] Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,82 unequal: No Solution Exploring Operation: 31*10=310, Resulting Numbers: [310] 310,82 unequal: No Solution Exploring Operation: 31+10=41, Resulting Numbers: [41] 41,82 unequal: No Solution Moving to Node #0,0,0 Current State: 82:[72, 51], Operations: ['21+51=72', '82-31=51'] Exploring Operation: 72-51=21, Resulting Numbers: [21] 21,82 unequal: No Solution Exploring Operation: 72+51=123, Resulting Numbers: [123] 123,82 unequal: No Solution Exploring Operation: 72*51=3672, Resulting Numbers: [3672] 3672,82 unequal: No Solution Moving to Node #0,0,2 Current State: 82:[82, 103], Operations: ['21+51=72', '31+72=103'] Exploring Operation: 82*103=8446, Resulting Numbers: [8446] 8446,82 unequal: No Solution Exploring Operation: 82+103=185, Resulting Numbers: [185] 185,82 unequal: No Solution Exploring Operation: 103-82=21, Resulting Numbers: [21] 21,82 unequal: No Solution Moving to Node #0,0,4 Current State: 82:[72, 113], Operations: ['21+51=72', '31+82=113'] Exploring Operation: 72*113=8136, Resulting Numbers: [8136] 8136,82 unequal: No Solution Exploring Operation: 113-72=41, Resulting Numbers: [41] 41,82 unequal: No Solution Exploring Operation: 72+113=185, Resulting Numbers: [185] 185,82 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: 82:[31, 82, 30], Operations: ['51-21=30'] Exploring Operation: 31-30=1, Resulting Numbers: [82, 1] Generated Node #0,3,0: 82:[82, 1] Operation: 31-30=1 Exploring Operation: 82-30=52, Resulting Numbers: [31, 52] Generated Node #0,3,1: 82:[31, 52] Operation: 82-30=52 Exploring Operation: 82+30=112, Resulting Numbers: [31, 112] Generated Node #0,3,2: 82:[31, 112] Operation: 82+30=112 Exploring Operation: 82-31=51, Resulting Numbers: [30, 51] Generated Node #0,3,3: 82:[30, 51] Operation: 82-31=51 Exploring Operation: 31+30=61, Resulting Numbers: [82, 61] Generated Node #0,3,4: 82:[82, 61] Operation: 31+30=61 Moving to Node #0,3,0 Current State: 82:[82, 1], Operations: ['51-21=30', '31-30=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,82 unequal: No Solution Exploring Operation: 82/1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[21, 51, 31, 82], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [31, 82, 30] Generated Node #0,3: 82:[31, 82, 30] Operation: 51-21=30 Moving to Node #0,3 Current State: 82:[31, 82, 30], Operations: ['51-21=30'] Exploring Operation: 31-30=1, Resulting Numbers: [82, 1] Generated Node #0,3,0: 82:[82, 1] Operation: 31-30=1 Moving to Node #0,3,0 Current State: 82:[82, 1], Operations: ['51-21=30', '31-30=1'] Exploring Operation: 82/1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1
0.931424
hs_5
mult_heuristic
[ 3, 60, 48, 61 ]
51
[ "3+48=51", "61-60=1", "51*1=51" ]
Current State: 51:[3, 60, 48, 61], Operations: [] Exploring Operation: 3+48=51, Resulting Numbers: [60, 61, 51] Generated Node #2: [60, 61, 51] from Operation: 3+48=51 Current State: 51:[60, 61, 51], Operations: ['3+48=51'] Exploring Operation: 61-60=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 61-60=1 Current State: 51:[51, 1], Operations: ['3+48=51', '61-60=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[3, 60, 48, 61], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [3, 48, 1] Generated Node #0,0: 51:[3, 48, 1] Operation: 61-60=1 Moving to Node #0,0 Current State: 51:[3, 48, 1], Operations: ['61-60=1'] Exploring Operation: 3+48=51, Resulting Numbers: [1, 51] Generated Node #0,0,0: 51:[1, 51] Operation: 3+48=51 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 51:[1, 51], Operations: ['61-60=1', '3+48=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[3, 60, 48, 61], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [3, 48, 1] Generated Node #0,0: 51:[3, 48, 1] Operation: 61-60=1 Moving to Node #0,0 Current State: 51:[3, 48, 1], Operations: ['61-60=1'] Exploring Operation: 3+48=51, Resulting Numbers: [1, 51] Generated Node #0,0,0: 51:[1, 51] Operation: 3+48=51 Moving to Node #0,0,0 Current State: 51:[1, 51], Operations: ['61-60=1', '3+48=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 99, 23, 88, 30 ]
42
[ "99-23=76", "88+30=118", "118-76=42" ]
Current State: 42:[99, 23, 88, 30], Operations: [] Exploring Operation: 99-23=76, Resulting Numbers: [88, 30, 76] Generated Node #2: [88, 30, 76] from Operation: 99-23=76 Current State: 42:[88, 30, 76], Operations: ['99-23=76'] Exploring Operation: 88+30=118, Resulting Numbers: [76, 118] Generated Node #3: [76, 118] from Operation: 88+30=118 Current State: 42:[76, 118], Operations: ['99-23=76', '88+30=118'] Exploring Operation: 118-76=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[99, 23, 88, 30], Operations: [] Exploring Operation: 99-23=76, Resulting Numbers: [88, 30, 76] Generated Node #0,0: 42:[88, 30, 76] Operation: 99-23=76 Exploring Operation: 99-88=11, Resulting Numbers: [23, 30, 11] Generated Node #0,1: 42:[23, 30, 11] Operation: 99-88=11 Exploring Operation: 99-30=69, Resulting Numbers: [23, 88, 69] Generated Node #0,2: 42:[23, 88, 69] Operation: 99-30=69 Exploring Operation: 88-30=58, Resulting Numbers: [99, 23, 58] Generated Node #0,3: 42:[99, 23, 58] Operation: 88-30=58 Moving to Node #0,1 Current State: 42:[23, 30, 11], Operations: ['99-88=11'] Exploring Operation: 30+11=41, Resulting Numbers: [23, 41] Generated Node #0,1,0: 42:[23, 41] Operation: 30+11=41 Exploring Operation: 30-11=19, Resulting Numbers: [23, 19] Generated Node #0,1,1: 42:[23, 19] Operation: 30-11=19 Exploring Operation: 23-11=12, Resulting Numbers: [30, 12] Generated Node #0,1,2: 42:[30, 12] Operation: 23-11=12 Exploring Operation: 30-23=7, Resulting Numbers: [11, 7] Generated Node #0,1,3: 42:[11, 7] Operation: 30-23=7 Moving to Node #0,3 Current State: 42:[99, 23, 58], Operations: ['88-30=58'] Exploring Operation: 99-58=41, Resulting Numbers: [23, 41] Generated Node #0,3,0: 42:[23, 41] Operation: 99-58=41 Exploring Operation: 58-23=35, Resulting Numbers: [99, 35] Generated Node #0,3,1: 42:[99, 35] Operation: 58-23=35 Exploring Operation: 99+23=122, Resulting Numbers: [58, 122] Generated Node #0,3,2: 42:[58, 122] Operation: 99+23=122 Exploring Operation: 99-23=76, Resulting Numbers: [58, 76] Generated Node #0,3,3: 42:[58, 76] Operation: 99-23=76 Moving to Node #0,2 Current State: 42:[23, 88, 69], Operations: ['99-30=69'] Exploring Operation: 69-23=46, Resulting Numbers: [88, 46] Generated Node #0,2,0: 42:[88, 46] Operation: 69-23=46 Exploring Operation: 69/23=3, Resulting Numbers: [88, 3] Generated Node #0,2,1: 42:[88, 3] Operation: 69/23=3 Exploring Operation: 88-23=65, Resulting Numbers: [69, 65] Generated Node #0,2,2: 42:[69, 65] Operation: 88-23=65 Exploring Operation: 88-69=19, Resulting Numbers: [23, 19] Generated Node #0,2,3: 42:[23, 19] Operation: 88-69=19 Moving to Node #0,0 Current State: 42:[88, 30, 76], Operations: ['99-23=76'] Exploring Operation: 76-30=46, Resulting Numbers: [88, 46] Generated Node #0,0,0: 42:[88, 46] Operation: 76-30=46 Exploring Operation: 88+30=118, Resulting Numbers: [76, 118] Generated Node #0,0,1: 42:[76, 118] Operation: 88+30=118 Exploring Operation: 88-76=12, Resulting Numbers: [30, 12] Generated Node #0,0,2: 42:[30, 12] Operation: 88-76=12 Exploring Operation: 88-30=58, Resulting Numbers: [76, 58] Generated Node #0,0,3: 42:[76, 58] Operation: 88-30=58 Moving to Node #0,1,0 Current State: 42:[23, 41], Operations: ['99-88=11', '30+11=41'] Exploring Operation: 41-23=18, Resulting Numbers: [18] 18,42 unequal: No Solution Exploring Operation: 23*41=943, Resulting Numbers: [943] 943,42 unequal: No Solution Exploring Operation: 23+41=64, Resulting Numbers: [64] 64,42 unequal: No Solution Moving to Node #0,1,3 Current State: 42:[11, 7], Operations: ['99-88=11', '30-23=7'] Exploring Operation: 11+7=18, Resulting Numbers: [18] 18,42 unequal: No Solution Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,42 unequal: No Solution Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,42 unequal: No Solution Moving to Node #0,3,0 Current State: 42:[23, 41], Operations: ['88-30=58', '99-58=41'] Exploring Operation: 23*41=943, Resulting Numbers: [943] 943,42 unequal: No Solution Exploring Operation: 41-23=18, Resulting Numbers: [18] 18,42 unequal: No Solution Exploring Operation: 23+41=64, Resulting Numbers: [64] 64,42 unequal: No Solution Moving to Node #0,1,1 Current State: 42:[23, 19], Operations: ['99-88=11', '30-11=19'] Exploring Operation: 23+19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[99, 23, 88, 30], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [23, 30, 11] Generated Node #0,1: 42:[23, 30, 11] Operation: 99-88=11 Moving to Node #0,1 Current State: 42:[23, 30, 11], Operations: ['99-88=11'] Exploring Operation: 30-11=19, Resulting Numbers: [23, 19] Generated Node #0,1,1: 42:[23, 19] Operation: 30-11=19 Moving to Node #0,1,1 Current State: 42:[23, 19], Operations: ['99-88=11', '30-11=19'] Exploring Operation: 23+19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
0.970486
hs_4
sum_heuristic
[ 53, 49, 50, 5 ]
14
[ "53-49=4", "50/5=10", "4+10=14" ]
Current State: 14:[53, 49, 50, 5], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [50, 5, 4] Generated Node #2: [50, 5, 4] from Operation: 53-49=4 Current State: 14:[50, 5, 4], Operations: ['53-49=4'] Exploring Operation: 50/5=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 50/5=10 Current State: 14:[4, 10], Operations: ['53-49=4', '50/5=10'] Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[53, 49, 50, 5], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [49, 5, 3] Generated Node #0,0: 14:[49, 5, 3] Operation: 53-50=3 Exploring Operation: 53-5=48, Resulting Numbers: [49, 50, 48] Generated Node #0,1: 14:[49, 50, 48] Operation: 53-5=48 Exploring Operation: 50/5=10, Resulting Numbers: [53, 49, 10] Generated Node #0,2: 14:[53, 49, 10] Operation: 50/5=10 Exploring Operation: 50-49=1, Resulting Numbers: [53, 5, 1] Generated Node #0,3: 14:[53, 5, 1] Operation: 50-49=1 Exploring Operation: 53-49=4, Resulting Numbers: [50, 5, 4] Generated Node #0,4: 14:[50, 5, 4] Operation: 53-49=4 Moving to Node #0,0 Current State: 14:[49, 5, 3], Operations: ['53-50=3'] Exploring Operation: 5+3=8, Resulting Numbers: [49, 8] Generated Node #0,0,0: 14:[49, 8] Operation: 5+3=8 Exploring Operation: 5*3=15, Resulting Numbers: [49, 15] Generated Node #0,0,1: 14:[49, 15] Operation: 5*3=15 Exploring Operation: 49-5=44, Resulting Numbers: [3, 44] Generated Node #0,0,2: 14:[3, 44] Operation: 49-5=44 Exploring Operation: 49-3=46, Resulting Numbers: [5, 46] Generated Node #0,0,3: 14:[5, 46] Operation: 49-3=46 Exploring Operation: 5-3=2, Resulting Numbers: [49, 2] Generated Node #0,0,4: 14:[49, 2] Operation: 5-3=2 Moving to Node #0,4 Current State: 14:[50, 5, 4], Operations: ['53-49=4'] Exploring Operation: 5+4=9, Resulting Numbers: [50, 9] Generated Node #0,4,0: 14:[50, 9] Operation: 5+4=9 Exploring Operation: 50-4=46, Resulting Numbers: [5, 46] Generated Node #0,4,1: 14:[5, 46] Operation: 50-4=46 Exploring Operation: 50/5=10, Resulting Numbers: [4, 10] Generated Node #0,4,2: 14:[4, 10] Operation: 50/5=10 Exploring Operation: 5-4=1, Resulting Numbers: [50, 1] Generated Node #0,4,3: 14:[50, 1] Operation: 5-4=1 Exploring Operation: 50-5=45, Resulting Numbers: [4, 45] Generated Node #0,4,4: 14:[4, 45] Operation: 50-5=45 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 14:[4, 10], Operations: ['53-49=4', '50/5=10'] Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,14 unequal: No Solution Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[53, 49, 50, 5], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [50, 5, 4] Generated Node #0,4: 14:[50, 5, 4] Operation: 53-49=4 Moving to Node #0,4 Current State: 14:[50, 5, 4], Operations: ['53-49=4'] Exploring Operation: 50/5=10, Resulting Numbers: [4, 10] Generated Node #0,4,2: 14:[4, 10] Operation: 50/5=10 Moving to Node #0,4,2 Current State: 14:[4, 10], Operations: ['53-49=4', '50/5=10'] Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_5
sum_heuristic
[ 6, 6, 81, 78 ]
78
[ "6-6=0", "81*0=0", "78+0=78" ]
Current State: 78:[6, 6, 81, 78], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [81, 78, 0] Generated Node #2: [81, 78, 0] from Operation: 6-6=0 Current State: 78:[81, 78, 0], Operations: ['6-6=0'] Exploring Operation: 81*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 81*0=0 Current State: 78:[78, 0], Operations: ['6-6=0', '81*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[6, 6, 81, 78], Operations: [] Exploring Operation: 81-6=75, Resulting Numbers: [6, 78, 75] Generated Node #0,0: 78:[6, 78, 75] Operation: 81-6=75 Exploring Operation: 81-78=3, Resulting Numbers: [6, 6, 3] Generated Node #0,1: 78:[6, 6, 3] Operation: 81-78=3 Start Sub Search at level 1: Moving to Node #0,1 Current State: 78:[6, 6, 3], Operations: ['81-78=3'] Exploring Operation: 6/3=2, Resulting Numbers: [6, 2] Generated Node #0,1,0: 78:[6, 2] Operation: 6/3=2 Exploring Operation: 6-3=3, Resulting Numbers: [6, 3] Generated Node #0,1,1: 78:[6, 3] Operation: 6-3=3 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 78:[6, 2], Operations: ['81-78=3', '6/3=2'] Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,78 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: 78:[6, 3], Operations: ['81-78=3', '6-3=3'] Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,78 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: 78:[6, 78, 75], Operations: ['81-6=75'] Exploring Operation: 78-75=3, Resulting Numbers: [6, 3] Generated Node #0,0,0: 78:[6, 3] Operation: 78-75=3 Exploring Operation: 78/6=13, Resulting Numbers: [75, 13] Generated Node #0,0,1: 78:[75, 13] Operation: 78/6=13 Moving to Node #0,0,0 Current State: 78:[6, 3], Operations: ['81-6=75', '78-75=3'] Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,78 unequal: No Solution Moving to Node #0,0,1 Current State: 78:[75, 13], Operations: ['81-6=75', '78/6=13'] Exploring Operation: 75+13=88, Resulting Numbers: [88] 88,78 unequal: No Solution Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,78 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
[ 51, 14, 11, 80 ]
28
[ "51-11=40", "14*80=1120", "1120/40=28" ]
Current State: 28:[51, 14, 11, 80], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [14, 80, 40] Generated Node #2: [14, 80, 40] from Operation: 51-11=40 Current State: 28:[14, 80, 40], Operations: ['51-11=40'] Exploring Operation: 14*80=1120, Resulting Numbers: [40, 1120] Generated Node #3: [40, 1120] from Operation: 14*80=1120 Current State: 28:[40, 1120], Operations: ['51-11=40', '14*80=1120'] Exploring Operation: 1120/40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[51, 14, 11, 80], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [14, 11, 29] Generated Node #0,0: 28:[14, 11, 29] Operation: 80-51=29 Moving to Node #0,0 Current State: 28:[14, 11, 29], Operations: ['80-51=29'] Exploring Operation: 14-11=3, Resulting Numbers: [29, 3] Generated Node #0,0,0: 28:[29, 3] Operation: 14-11=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 28:[29, 3], Operations: ['80-51=29', '14-11=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,28 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
[ 10, 29, 83, 19 ]
84
[ "29-10=19", "19/19=1", "83+1=84" ]
Current State: 84:[10, 29, 83, 19], Operations: [] Exploring Operation: 29-10=19, Resulting Numbers: [83, 19, 19] Generated Node #2: [83, 19, 19] from Operation: 29-10=19 Current State: 84:[83, 19, 19], Operations: ['29-10=19'] Exploring Operation: 19/19=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 19/19=1 Current State: 84:[83, 1], Operations: ['29-10=19', '19/19=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[10, 29, 83, 19], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [10, 83, 10] Generated Node #0,0: 84:[10, 83, 10] Operation: 29-19=10 Exploring Operation: 29-10=19, Resulting Numbers: [83, 19, 19] Generated Node #0,1: 84:[83, 19, 19] Operation: 29-10=19 Exploring Operation: 10+19=29, Resulting Numbers: [29, 83, 29] Generated Node #0,2: 84:[29, 83, 29] Operation: 10+19=29 Exploring Operation: 19-10=9, Resulting Numbers: [29, 83, 9] Generated Node #0,3: 84:[29, 83, 9] Operation: 19-10=9 Moving to Node #0,2 Current State: 84:[29, 83, 29], Operations: ['10+19=29'] Exploring Operation: 29/29=1, Resulting Numbers: [83, 1] Generated Node #0,2,0: 84:[83, 1] Operation: 29/29=1 Exploring Operation: 29-29=0, Resulting Numbers: [83, 0] Generated Node #0,2,1: 84:[83, 0] Operation: 29-29=0 Exploring Operation: 83-29=54, Resulting Numbers: [29, 54] Generated Node #0,2,2: 84:[29, 54] Operation: 83-29=54 Exploring Operation: 83-29=54, Resulting Numbers: [29, 54] Generated Node #0,2,3: 84:[29, 54] Operation: 83-29=54 Moving to Node #0,3 Current State: 84:[29, 83, 9], Operations: ['19-10=9'] Exploring Operation: 83-9=74, Resulting Numbers: [29, 74] Generated Node #0,3,0: 84:[29, 74] Operation: 83-9=74 Exploring Operation: 29+9=38, Resulting Numbers: [83, 38] Generated Node #0,3,1: 84:[83, 38] Operation: 29+9=38 Exploring Operation: 83+9=92, Resulting Numbers: [29, 92] Generated Node #0,3,2: 84:[29, 92] Operation: 83+9=92 Exploring Operation: 29-9=20, Resulting Numbers: [83, 20] Generated Node #0,3,3: 84:[83, 20] Operation: 29-9=20 Moving to Node #0,1 Current State: 84:[83, 19, 19], Operations: ['29-10=19'] Exploring Operation: 19-19=0, Resulting Numbers: [83, 0] Generated Node #0,1,0: 84:[83, 0] Operation: 19-19=0 Exploring Operation: 19+19=38, Resulting Numbers: [83, 38] Generated Node #0,1,1: 84:[83, 38] Operation: 19+19=38 Exploring Operation: 19/19=1, Resulting Numbers: [83, 1] Generated Node #0,1,2: 84:[83, 1] Operation: 19/19=1 Exploring Operation: 83+19=102, Resulting Numbers: [19, 102] Generated Node #0,1,3: 84:[19, 102] Operation: 83+19=102 Moving to Node #0,0 Current State: 84:[10, 83, 10], Operations: ['29-19=10'] Exploring Operation: 10/10=1, Resulting Numbers: [83, 1] Generated Node #0,0,0: 84:[83, 1] Operation: 10/10=1 Exploring Operation: 10-10=0, Resulting Numbers: [83, 0] Generated Node #0,0,1: 84:[83, 0] Operation: 10-10=0 Exploring Operation: 10+83=93, Resulting Numbers: [10, 93] Generated Node #0,0,2: 84:[10, 93] Operation: 10+83=93 Exploring Operation: 10+10=20, Resulting Numbers: [83, 20] Generated Node #0,0,3: 84:[83, 20] Operation: 10+10=20 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 84:[83, 1], Operations: ['29-19=10', '10/10=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,84 unequal: No Solution Exploring Operation: 83/1=83, Resulting Numbers: [83] 83,84 unequal: No Solution Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,84 unequal: No Solution Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[10, 29, 83, 19], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [10, 83, 10] Generated Node #0,0: 84:[10, 83, 10] Operation: 29-19=10 Moving to Node #0,0 Current State: 84:[10, 83, 10], Operations: ['29-19=10'] Exploring Operation: 10/10=1, Resulting Numbers: [83, 1] Generated Node #0,0,0: 84:[83, 1] Operation: 10/10=1 Moving to Node #0,0,0 Current State: 84:[83, 1], Operations: ['29-19=10', '10/10=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 1
0.975694
hs_4
sum_heuristic
[ 50, 69, 6, 31 ]
83
[ "69-50=19", "6*19=114", "114-31=83" ]
Current State: 83:[50, 69, 6, 31], Operations: [] Exploring Operation: 69-50=19, Resulting Numbers: [6, 31, 19] Generated Node #2: [6, 31, 19] from Operation: 69-50=19 Current State: 83:[6, 31, 19], Operations: ['69-50=19'] Exploring Operation: 6*19=114, Resulting Numbers: [31, 114] Generated Node #3: [31, 114] from Operation: 6*19=114 Current State: 83:[31, 114], Operations: ['69-50=19', '6*19=114'] Exploring Operation: 114-31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[50, 69, 6, 31], Operations: [] Exploring Operation: 69+6=75, Resulting Numbers: [50, 31, 75] Generated Node #0,0: 83:[50, 31, 75] Operation: 69+6=75 Exploring Operation: 50-6=44, Resulting Numbers: [69, 31, 44] Generated Node #0,1: 83:[69, 31, 44] Operation: 50-6=44 Exploring Operation: 50+31=81, Resulting Numbers: [69, 6, 81] Generated Node #0,2: 83:[69, 6, 81] Operation: 50+31=81 Exploring Operation: 6+31=37, Resulting Numbers: [50, 69, 37] Generated Node #0,3: 83:[50, 69, 37] Operation: 6+31=37 Exploring Operation: 50+6=56, Resulting Numbers: [69, 31, 56] Generated Node #0,4: 83:[69, 31, 56] Operation: 50+6=56 Moving to Node #0,0 Current State: 83:[50, 31, 75], Operations: ['69+6=75'] Exploring Operation: 50+31=81, Resulting Numbers: [75, 81] Generated Node #0,0,0: 83:[75, 81] Operation: 50+31=81 Exploring Operation: 75-31=44, Resulting Numbers: [50, 44] Generated Node #0,0,1: 83:[50, 44] Operation: 75-31=44 Exploring Operation: 50+75=125, Resulting Numbers: [31, 125] Generated Node #0,0,2: 83:[31, 125] Operation: 50+75=125 Exploring Operation: 50-31=19, Resulting Numbers: [75, 19] Generated Node #0,0,3: 83:[75, 19] Operation: 50-31=19 Exploring Operation: 31+75=106, Resulting Numbers: [50, 106] Generated Node #0,0,4: 83:[50, 106] Operation: 31+75=106 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 83:[75, 81], Operations: ['69+6=75', '50+31=81'] Exploring Operation: 75+81=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 75*81=6075, Resulting Numbers: [6075] 6075,83 unequal: No Solution Exploring Operation: 81-75=6, Resulting Numbers: [6] 6,83 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 #0,0,4 Current State: 83:[50, 106], Operations: ['69+6=75', '31+75=106'] Exploring Operation: 106-50=56, Resulting Numbers: [56] 56,83 unequal: No Solution Exploring Operation: 50*106=5300, Resulting Numbers: [5300] 5300,83 unequal: No Solution Exploring Operation: 50+106=156, Resulting Numbers: [156] 156,83 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 #0,0,1 Current State: 83:[50, 44], Operations: ['69+6=75', '75-31=44'] Exploring Operation: 50+44=94, Resulting Numbers: [94] 94,83 unequal: No Solution Exploring Operation: 50*44=2200, Resulting Numbers: [2200] 2200,83 unequal: No Solution Exploring Operation: 50-44=6, Resulting Numbers: [6] 6,83 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 #0,0,3 Current State: 83:[75, 19], Operations: ['69+6=75', '50-31=19'] Exploring Operation: 75-19=56, Resulting Numbers: [56] 56,83 unequal: No Solution Exploring Operation: 75+19=94, Resulting Numbers: [94] 94,83 unequal: No Solution Exploring Operation: 75*19=1425, Resulting Numbers: [1425] 1425,83 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 #0,0,2 Current State: 83:[31, 125], Operations: ['69+6=75', '50+75=125'] Exploring Operation: 31+125=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 125-31=94, Resulting Numbers: [94] 94,83 unequal: No Solution Exploring Operation: 31*125=3875, Resulting Numbers: [3875] 3875,83 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: 83:[50, 69, 37], Operations: ['6+31=37'] Exploring Operation: 69+37=106, Resulting Numbers: [50, 106] Generated Node #0,3,0: 83:[50, 106] Operation: 69+37=106 Exploring Operation: 50-37=13, Resulting Numbers: [69, 13] Generated Node #0,3,1: 83:[69, 13] Operation: 50-37=13 Exploring Operation: 50+37=87, Resulting Numbers: [69, 87] Generated Node #0,3,2: 83:[69, 87] Operation: 50+37=87 Exploring Operation: 69-37=32, Resulting Numbers: [50, 32] Generated Node #0,3,3: 83:[50, 32] Operation: 69-37=32 Exploring Operation: 50+69=119, Resulting Numbers: [37, 119] Generated Node #0,3,4: 83:[37, 119] Operation: 50+69=119 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 83:[69, 87], Operations: ['6+31=37', '50+37=87'] Exploring Operation: 87-69=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 69*87=6003, Resulting Numbers: [6003] 6003,83 unequal: No Solution Exploring Operation: 69+87=156, Resulting Numbers: [156] 156,83 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 #0,3,0 Current State: 83:[50, 106], Operations: ['6+31=37', '69+37=106'] Exploring Operation: 50*106=5300, Resulting Numbers: [5300] 5300,83 unequal: No Solution Exploring Operation: 50+106=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 106-50=56, Resulting Numbers: [56] 56,83 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 #0,3,4 Current State: 83:[37, 119], Operations: ['6+31=37', '50+69=119'] Exploring Operation: 37+119=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 37*119=4403, Resulting Numbers: [4403] 4403,83 unequal: No Solution Exploring Operation: 119-37=82, Resulting Numbers: [82] 82,83 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 #0,3,1 Current State: 83:[69, 13], Operations: ['6+31=37', '50-37=13'] Exploring Operation: 69*13=897, Resulting Numbers: [897] 897,83 unequal: No Solution Exploring Operation: 69+13=82, Resulting Numbers: [82] 82,83 unequal: No Solution Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,83 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 #0,3,3 Current State: 83:[50, 32], Operations: ['6+31=37', '69-37=32'] Exploring Operation: 50+32=82, Resulting Numbers: [82] 82,83 unequal: No Solution Exploring Operation: 50*32=1600, Resulting Numbers: [1600] 1600,83 unequal: No Solution Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,83 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: 83:[69, 6, 81], Operations: ['50+31=81'] Exploring Operation: 81-6=75, Resulting Numbers: [69, 75] Generated Node #0,2,0: 83:[69, 75] Operation: 81-6=75 Exploring Operation: 69+6=75, Resulting Numbers: [81, 75] Generated Node #0,2,1: 83:[81, 75] Operation: 69+6=75 Exploring Operation: 69+81=150, Resulting Numbers: [6, 150] Generated Node #0,2,2: 83:[6, 150] Operation: 69+81=150 Exploring Operation: 69-6=63, Resulting Numbers: [81, 63] Generated Node #0,2,3: 83:[81, 63] Operation: 69-6=63 Exploring Operation: 6+81=87, Resulting Numbers: [69, 87] Generated Node #0,2,4: 83:[69, 87] Operation: 6+81=87 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 83:[81, 75], Operations: ['50+31=81', '69+6=75'] Exploring Operation: 81+75=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 81*75=6075, Resulting Numbers: [6075] 6075,83 unequal: No Solution Exploring Operation: 81-75=6, Resulting Numbers: [6] 6,83 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 #0,2,4 Current State: 83:[69, 87], Operations: ['50+31=81', '6+81=87'] Exploring Operation: 69*87=6003, Resulting Numbers: [6003] 6003,83 unequal: No Solution Exploring Operation: 69+87=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 87-69=18, Resulting Numbers: [18] 18,83 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 #0,2,0 Current State: 83:[69, 75], Operations: ['50+31=81', '81-6=75'] Exploring Operation: 75-69=6, Resulting Numbers: [6] 6,83 unequal: No Solution Exploring Operation: 69*75=5175, Resulting Numbers: [5175] 5175,83 unequal: No Solution Exploring Operation: 69+75=144, Resulting Numbers: [144] 144,83 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 #0,2,3 Current State: 83:[81, 63], Operations: ['50+31=81', '69-6=63'] Exploring Operation: 81+63=144, Resulting Numbers: [144] 144,83 unequal: No Solution Exploring Operation: 81*63=5103, Resulting Numbers: [5103] 5103,83 unequal: No Solution Exploring Operation: 81-63=18, Resulting Numbers: [18] 18,83 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:[6, 150], Operations: ['50+31=81', '69+81=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,83 unequal: No Solution Exploring Operation: 150-6=144, Resulting Numbers: [144] 144,83 unequal: No Solution Exploring Operation: 6*150=900, Resulting Numbers: [900] 900,83 unequal: No Solution Exploring Operation: 6+150=156, Resulting Numbers: [156] 156,83 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: 83:[69, 31, 56], Operations: ['50+6=56'] Exploring Operation: 56-31=25, Resulting Numbers: [69, 25] Generated Node #0,4,0: 83:[69, 25] Operation: 56-31=25 Exploring Operation: 69+56=125, Resulting Numbers: [31, 125] Generated Node #0,4,1: 83:[31, 125] Operation: 69+56=125 Exploring Operation: 69+31=100, Resulting Numbers: [56, 100] Generated Node #0,4,2: 83:[56, 100] Operation: 69+31=100 Exploring Operation: 31+56=87, Resulting Numbers: [69, 87] Generated Node #0,4,3: 83:[69, 87] Operation: 31+56=87 Exploring Operation: 69-31=38, Resulting Numbers: [56, 38] Generated Node #0,4,4: 83:[56, 38] Operation: 69-31=38 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 83:[69, 87], Operations: ['50+6=56', '31+56=87'] Exploring Operation: 87-69=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 69+87=156, Resulting Numbers: [156] 156,83 unequal: No Solution Exploring Operation: 69*87=6003, Resulting Numbers: [6003] 6003,83 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 #0,4,2 Current State: 83:[56, 100], Operations: ['50+6=56', '69+31=100'] Exploring Operation: 100-56=44, Resulting Numbers: [44] 44,83 unequal: No Solution Exploring Operation: 56*100=5600, Resulting Numbers: [5600] 5600,83 unequal: No Solution Exploring Operation: 56+100=156, Resulting Numbers: [156] 156,83 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 #0,4,0 Current State: 83:[69, 25], Operations: ['50+6=56', '56-31=25'] Exploring Operation: 69+25=94, Resulting Numbers: [94] 94,83 unequal: No Solution Exploring Operation: 69-25=44, Resulting Numbers: [44] 44,83 unequal: No Solution Exploring Operation: 69*25=1725, Resulting Numbers: [1725] 1725,83 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 #0,4,4 Current State: 83:[56, 38], Operations: ['50+6=56', '69-31=38'] Exploring Operation: 56-38=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 56+38=94, Resulting Numbers: [94] 94,83 unequal: No Solution Exploring Operation: 56*38=2128, Resulting Numbers: [2128] 2128,83 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 #0,4,1 Current State: 83:[31, 125], Operations: ['50+6=56', '69+56=125'] Exploring Operation: 31*125=3875, Resulting Numbers: [3875] 3875,83 unequal: No Solution Exploring Operation: 125-31=94, Resulting Numbers: [94] 94,83 unequal: No Solution Exploring Operation: 31+125=156, Resulting Numbers: [156] 156,83 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: 83:[69, 31, 44], Operations: ['50-6=44'] Exploring Operation: 69+44=113, Resulting Numbers: [31, 113] Generated Node #0,1,0: 83:[31, 113] Operation: 69+44=113 Exploring Operation: 44-31=13, Resulting Numbers: [69, 13] Generated Node #0,1,1: 83:[69, 13] Operation: 44-31=13 Exploring Operation: 69+31=100, Resulting Numbers: [44, 100] Generated Node #0,1,2: 83:[44, 100] Operation: 69+31=100 Exploring Operation: 69-31=38, Resulting Numbers: [44, 38] Generated Node #0,1,3: 83:[44, 38] Operation: 69-31=38 Exploring Operation: 31+44=75, Resulting Numbers: [69, 75] Generated Node #0,1,4: 83:[69, 75] Operation: 31+44=75 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 83:[69, 75], Operations: ['50-6=44', '31+44=75'] Exploring Operation: 69*75=5175, Resulting Numbers: [5175] 5175,83 unequal: No Solution Exploring Operation: 69+75=144, Resulting Numbers: [144] 144,83 unequal: No Solution Exploring Operation: 75-69=6, Resulting Numbers: [6] 6,83 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:[44, 100], Operations: ['50-6=44', '69+31=100'] Exploring Operation: 44+100=144, Resulting Numbers: [144] 144,83 unequal: No Solution Exploring Operation: 44*100=4400, Resulting Numbers: [4400] 4400,83 unequal: No Solution Exploring Operation: 100-44=56, Resulting Numbers: [56] 56,83 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:[31, 113], Operations: ['50-6=44', '69+44=113'] Exploring Operation: 31+113=144, Resulting Numbers: [144] 144,83 unequal: No Solution Exploring Operation: 113-31=82, Resulting Numbers: [82] 82,83 unequal: No Solution Exploring Operation: 31*113=3503, Resulting Numbers: [3503] 3503,83 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 #0,1,1 Current State: 83:[69, 13], Operations: ['50-6=44', '44-31=13'] Exploring Operation: 69*13=897, Resulting Numbers: [897] 897,83 unequal: No Solution Exploring Operation: 69+13=82, Resulting Numbers: [82] 82,83 unequal: No Solution Exploring Operation: 69-13=56, Resulting Numbers: [56] 56,83 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 #0,1,3 Current State: 83:[44, 38], Operations: ['50-6=44', '69-31=38'] Exploring Operation: 44*38=1672, Resulting Numbers: [1672] 1672,83 unequal: No Solution Exploring Operation: 44+38=82, Resulting Numbers: [82] 82,83 unequal: No Solution Exploring Operation: 44-38=6, Resulting Numbers: [6] 6,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 79, 5, 36, 4 ]
87
[ "36+4=40", "40/5=8", "79+8=87" ]
Current State: 87:[79, 5, 36, 4], Operations: [] Exploring Operation: 36+4=40, Resulting Numbers: [79, 5, 40] Generated Node #2: [79, 5, 40] from Operation: 36+4=40 Current State: 87:[79, 5, 40], Operations: ['36+4=40'] Exploring Operation: 40/5=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 40/5=8 Current State: 87:[79, 8], Operations: ['36+4=40', '40/5=8'] Exploring Operation: 79+8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[79, 5, 36, 4], Operations: [] Exploring Operation: 79+4=83, Resulting Numbers: [5, 36, 83] Generated Node #0,0: 87:[5, 36, 83] Operation: 79+4=83 Exploring Operation: 36-5=31, Resulting Numbers: [79, 4, 31] Generated Node #0,1: 87:[79, 4, 31] Operation: 36-5=31 Exploring Operation: 79+5=84, Resulting Numbers: [36, 4, 84] Generated Node #0,2: 87:[36, 4, 84] Operation: 79+5=84 Moving to Node #0,1 Current State: 87:[79, 4, 31], Operations: ['36-5=31'] Exploring Operation: 79+4=83, Resulting Numbers: [31, 83] Generated Node #0,1,0: 87:[31, 83] Operation: 79+4=83 Exploring Operation: 31-4=27, Resulting Numbers: [79, 27] Generated Node #0,1,1: 87:[79, 27] Operation: 31-4=27 Exploring Operation: 79-4=75, Resulting Numbers: [31, 75] Generated Node #0,1,2: 87:[31, 75] Operation: 79-4=75 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 87:[31, 83], Operations: ['36-5=31', '79+4=83'] Exploring Operation: 83-31=52, Resulting Numbers: [52] 52,87 unequal: No Solution Exploring Operation: 31+83=114, Resulting Numbers: [114] 114,87 unequal: No Solution Exploring Operation: 31*83=2573, Resulting Numbers: [2573] 2573,87 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: 87:[79, 27], Operations: ['36-5=31', '31-4=27'] Exploring Operation: 79*27=2133, Resulting Numbers: [2133] 2133,87 unequal: No Solution Exploring Operation: 79-27=52, Resulting Numbers: [52] 52,87 unequal: No Solution Exploring Operation: 79+27=106, Resulting Numbers: [106] 106,87 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: 87:[31, 75], Operations: ['36-5=31', '79-4=75'] Exploring Operation: 75-31=44, Resulting Numbers: [44] 44,87 unequal: No Solution Exploring Operation: 31*75=2325, Resulting Numbers: [2325] 2325,87 unequal: No Solution Exploring Operation: 31+75=106, Resulting Numbers: [106] 106,87 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: 87:[36, 4, 84], Operations: ['79+5=84'] Exploring Operation: 36/4=9, Resulting Numbers: [84, 9] Generated Node #0,2,0: 87:[84, 9] Operation: 36/4=9 Exploring Operation: 4+84=88, Resulting Numbers: [36, 88] Generated Node #0,2,1: 87:[36, 88] Operation: 4+84=88 Exploring Operation: 36-4=32, Resulting Numbers: [84, 32] Generated Node #0,2,2: 87:[84, 32] Operation: 36-4=32 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 87:[84, 32], Operations: ['79+5=84', '36-4=32'] Exploring Operation: 84*32=2688, Resulting Numbers: [2688] 2688,87 unequal: No Solution Exploring Operation: 84-32=52, Resulting Numbers: [52] 52,87 unequal: No Solution Exploring Operation: 84+32=116, Resulting Numbers: [116] 116,87 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: 87:[36, 88], Operations: ['79+5=84', '4+84=88'] Exploring Operation: 36*88=3168, Resulting Numbers: [3168] 3168,87 unequal: No Solution Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,87 unequal: No Solution Exploring Operation: 36+88=124, Resulting Numbers: [124] 124,87 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: 87:[84, 9], Operations: ['79+5=84', '36/4=9'] Exploring Operation: 84*9=756, Resulting Numbers: [756] 756,87 unequal: No Solution Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,87 unequal: No Solution Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,87 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: 87:[5, 36, 83], Operations: ['79+4=83'] Exploring Operation: 5+36=41, Resulting Numbers: [83, 41] Generated Node #0,0,0: 87:[83, 41] Operation: 5+36=41 Exploring Operation: 36-5=31, Resulting Numbers: [83, 31] Generated Node #0,0,1: 87:[83, 31] Operation: 36-5=31 Exploring Operation: 5+83=88, Resulting Numbers: [36, 88] Generated Node #0,0,2: 87:[36, 88] Operation: 5+83=88 Moving to Node #0,0,1 Current State: 87:[83, 31], Operations: ['79+4=83', '36-5=31'] Exploring Operation: 83+31=114, Resulting Numbers: [114] 114,87 unequal: No Solution Exploring Operation: 83*31=2573, Resulting Numbers: [2573] 2573,87 unequal: No Solution Exploring Operation: 83-31=52, Resulting Numbers: [52] 52,87 unequal: No Solution Moving to Node #0,0,2 Current State: 87:[36, 88], Operations: ['79+4=83', '5+83=88'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,87 unequal: No Solution Exploring Operation: 36*88=3168, Resulting Numbers: [3168] 3168,87 unequal: No Solution Exploring Operation: 36+88=124, Resulting Numbers: [124] 124,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[83, 41], Operations: ['79+4=83', '5+36=41'] Exploring Operation: 83+41=124, Resulting Numbers: [124] 124,87 unequal: No Solution Exploring Operation: 83*41=3403, Resulting Numbers: [3403] 3403,87 unequal: No Solution Exploring Operation: 83-41=42, Resulting Numbers: [42] 42,87 unequal: No Solution No solution found.
0
hs_3
mult_heuristic