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
[ 54, 26, 30, 62 ]
31
[ "54-26=28", "30-28=2", "62/2=31" ]
Current State: 31:[54, 26, 30, 62], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [30, 62, 28] Generated Node #2: [30, 62, 28] from Operation: 54-26=28 Current State: 31:[30, 62, 28], Operations: ['54-26=28'] Exploring Operation: 30-28=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 30-28=2 Current State: 31:[62, 2], Operations: ['54-26=28', '30-28=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[54, 26, 30, 62], Operations: [] Exploring Operation: 62-30=32, Resulting Numbers: [54, 26, 32] Generated Node #0,0: 31:[54, 26, 32] Operation: 62-30=32 Exploring Operation: 62-26=36, Resulting Numbers: [54, 30, 36] Generated Node #0,1: 31:[54, 30, 36] Operation: 62-26=36 Exploring Operation: 62-54=8, Resulting Numbers: [26, 30, 8] Generated Node #0,2: 31:[26, 30, 8] Operation: 62-54=8 Moving to Node #0,0 Current State: 31:[54, 26, 32], Operations: ['62-30=32'] Exploring Operation: 54-32=22, Resulting Numbers: [26, 22] Generated Node #0,0,0: 31:[26, 22] Operation: 54-32=22 Exploring Operation: 54-26=28, Resulting Numbers: [32, 28] Generated Node #0,0,1: 31:[32, 28] Operation: 54-26=28 Exploring Operation: 32-26=6, Resulting Numbers: [54, 6] Generated Node #0,0,2: 31:[54, 6] Operation: 32-26=6 Moving to Node #0,1 Current State: 31:[54, 30, 36], Operations: ['62-26=36'] Exploring Operation: 54-36=18, Resulting Numbers: [30, 18] Generated Node #0,1,0: 31:[30, 18] Operation: 54-36=18 Exploring Operation: 54-30=24, Resulting Numbers: [36, 24] Generated Node #0,1,1: 31:[36, 24] Operation: 54-30=24 Exploring Operation: 36-30=6, Resulting Numbers: [54, 6] Generated Node #0,1,2: 31:[54, 6] Operation: 36-30=6 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 31:[36, 24], Operations: ['62-26=36', '54-30=24'] Exploring Operation: 36-24=12, Resulting Numbers: [12] 12,31 unequal: No Solution Exploring Operation: 36+24=60, Resulting Numbers: [60] 60,31 unequal: No Solution Exploring Operation: 36*24=864, Resulting Numbers: [864] 864,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 31:[30, 18], Operations: ['62-26=36', '54-36=18'] Exploring Operation: 30*18=540, Resulting Numbers: [540] 540,31 unequal: No Solution Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,31 unequal: No Solution Exploring Operation: 30+18=48, Resulting Numbers: [48] 48,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 31:[54, 6], Operations: ['62-26=36', '36-30=6'] Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,31 unequal: No Solution Exploring Operation: 54/6=9, Resulting Numbers: [9] 9,31 unequal: No Solution Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,31 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: 31:[26, 30, 8], Operations: ['62-54=8'] Exploring Operation: 26+8=34, Resulting Numbers: [30, 34] Generated Node #0,2,0: 31:[30, 34] Operation: 26+8=34 Exploring Operation: 30+8=38, Resulting Numbers: [26, 38] Generated Node #0,2,1: 31:[26, 38] Operation: 30+8=38 Exploring Operation: 26-8=18, Resulting Numbers: [30, 18] Generated Node #0,2,2: 31:[30, 18] Operation: 26-8=18 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 31:[30, 34], Operations: ['62-54=8', '26+8=34'] Exploring Operation: 30+34=64, Resulting Numbers: [64] 64,31 unequal: No Solution Exploring Operation: 34-30=4, Resulting Numbers: [4] 4,31 unequal: No Solution Exploring Operation: 30*34=1020, Resulting Numbers: [1020] 1020,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 31:[26, 38], Operations: ['62-54=8', '30+8=38'] Exploring Operation: 38-26=12, Resulting Numbers: [12] 12,31 unequal: No Solution Exploring Operation: 26*38=988, Resulting Numbers: [988] 988,31 unequal: No Solution Exploring Operation: 26+38=64, Resulting Numbers: [64] 64,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 31:[30, 18], Operations: ['62-54=8', '26-8=18'] Exploring Operation: 30*18=540, Resulting Numbers: [540] 540,31 unequal: No Solution Exploring Operation: 30+18=48, Resulting Numbers: [48] 48,31 unequal: No Solution Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,31 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: 31:[32, 28], Operations: ['62-30=32', '54-26=28'] Exploring Operation: 32*28=896, Resulting Numbers: [896] 896,31 unequal: No Solution Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,31 unequal: No Solution Exploring Operation: 32-28=4, Resulting Numbers: [4] 4,31 unequal: No Solution Moving to Node #0,0,0 Current State: 31:[26, 22], Operations: ['62-30=32', '54-32=22'] Exploring Operation: 26*22=572, Resulting Numbers: [572] 572,31 unequal: No Solution Exploring Operation: 26+22=48, Resulting Numbers: [48] 48,31 unequal: No Solution Exploring Operation: 26-22=4, Resulting Numbers: [4] 4,31 unequal: No Solution Moving to Node #0,0,2 Current State: 31:[54, 6], Operations: ['62-30=32', '32-26=6'] Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,31 unequal: No Solution Exploring Operation: 54/6=9, Resulting Numbers: [9] 9,31 unequal: No Solution Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,31 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 9, 22, 6, 68 ]
80
[ "9*68=612", "612/6=102", "102-22=80" ]
Current State: 80:[9, 22, 6, 68], Operations: [] Exploring Operation: 9*68=612, Resulting Numbers: [22, 6, 612] Generated Node #2: [22, 6, 612] from Operation: 9*68=612 Current State: 80:[22, 6, 612], Operations: ['9*68=612'] Exploring Operation: 612/6=102, Resulting Numbers: [22, 102] Generated Node #3: [22, 102] from Operation: 612/6=102 Current State: 80:[22, 102], Operations: ['9*68=612', '612/6=102'] Exploring Operation: 102-22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[9, 22, 6, 68], Operations: [] Exploring Operation: 9+68=77, Resulting Numbers: [22, 6, 77] Generated Node #0,0: 80:[22, 6, 77] Operation: 9+68=77 Exploring Operation: 68-22=46, Resulting Numbers: [9, 6, 46] Generated Node #0,1: 80:[9, 6, 46] Operation: 68-22=46 Exploring Operation: 6+68=74, Resulting Numbers: [9, 22, 74] Generated Node #0,2: 80:[9, 22, 74] Operation: 6+68=74 Moving to Node #0,0 Current State: 80:[22, 6, 77], Operations: ['9+68=77'] Exploring Operation: 22+6=28, Resulting Numbers: [77, 28] Generated Node #0,0,0: 80:[77, 28] Operation: 22+6=28 Exploring Operation: 6+77=83, Resulting Numbers: [22, 83] Generated Node #0,0,1: 80:[22, 83] Operation: 6+77=83 Exploring Operation: 22-6=16, Resulting Numbers: [77, 16] Generated Node #0,0,2: 80:[77, 16] Operation: 22-6=16 Moving to Node #0,1 Current State: 80:[9, 6, 46], Operations: ['68-22=46'] Exploring Operation: 46-6=40, Resulting Numbers: [9, 40] Generated Node #0,1,0: 80:[9, 40] Operation: 46-6=40 Exploring Operation: 46-9=37, Resulting Numbers: [6, 37] Generated Node #0,1,1: 80:[6, 37] Operation: 46-9=37 Exploring Operation: 9+6=15, Resulting Numbers: [46, 15] Generated Node #0,1,2: 80:[46, 15] Operation: 9+6=15 Moving to Node #0,2 Current State: 80:[9, 22, 74], Operations: ['6+68=74'] Exploring Operation: 74-22=52, Resulting Numbers: [9, 52] Generated Node #0,2,0: 80:[9, 52] Operation: 74-22=52 Exploring Operation: 9+74=83, Resulting Numbers: [22, 83] Generated Node #0,2,1: 80:[22, 83] Operation: 9+74=83 Exploring Operation: 22-9=13, Resulting Numbers: [74, 13] Generated Node #0,2,2: 80:[74, 13] Operation: 22-9=13 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 80:[22, 83], Operations: ['6+68=74', '9+74=83'] Exploring Operation: 22*83=1826, Resulting Numbers: [1826] 1826,80 unequal: No Solution Exploring Operation: 83-22=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 22+83=105, Resulting Numbers: [105] 105,80 unequal: No Solution No 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: 80:[74, 13], Operations: ['6+68=74', '22-9=13'] Exploring Operation: 74*13=962, Resulting Numbers: [962] 962,80 unequal: No Solution Exploring Operation: 74-13=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 74+13=87, Resulting Numbers: [87] 87,80 unequal: No Solution No 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: 80:[9, 52], Operations: ['6+68=74', '74-22=52'] Exploring Operation: 52-9=43, Resulting Numbers: [43] 43,80 unequal: No Solution Exploring Operation: 9+52=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 9*52=468, Resulting Numbers: [468] 468,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 80:[9, 40], Operations: ['68-22=46', '46-6=40'] Exploring Operation: 9*40=360, Resulting Numbers: [360] 360,80 unequal: No Solution Exploring Operation: 40-9=31, Resulting Numbers: [31] 31,80 unequal: No Solution Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,80 unequal: No Solution Moving to Node #0,0,2 Current State: 80:[77, 16], Operations: ['9+68=77', '22-6=16'] Exploring Operation: 77+16=93, Resulting Numbers: [93] 93,80 unequal: No Solution Exploring Operation: 77*16=1232, Resulting Numbers: [1232] 1232,80 unequal: No Solution Exploring Operation: 77-16=61, Resulting Numbers: [61] 61,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[6, 37], Operations: ['68-22=46', '46-9=37'] Exploring Operation: 6+37=43, Resulting Numbers: [43] 43,80 unequal: No Solution Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,80 unequal: No Solution Exploring Operation: 6*37=222, Resulting Numbers: [222] 222,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[22, 83], Operations: ['9+68=77', '6+77=83'] Exploring Operation: 22*83=1826, Resulting Numbers: [1826] 1826,80 unequal: No Solution Exploring Operation: 22+83=105, Resulting Numbers: [105] 105,80 unequal: No Solution Exploring Operation: 83-22=61, Resulting Numbers: [61] 61,80 unequal: No Solution Moving to Node #0,1,2 Current State: 80:[46, 15], Operations: ['68-22=46', '9+6=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 46*15=690, Resulting Numbers: [690] 690,80 unequal: No Solution Exploring Operation: 46-15=31, Resulting Numbers: [31] 31,80 unequal: No Solution Moving to Node #0,0,0 Current State: 80:[77, 28], Operations: ['9+68=77', '22+6=28'] Exploring Operation: 77*28=2156, Resulting Numbers: [2156] 2156,80 unequal: No Solution Exploring Operation: 77+28=105, Resulting Numbers: [105] 105,80 unequal: No Solution Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,80 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 22, 66, 33, 38 ]
98
[ "66/33=2", "38*2=76", "22+76=98" ]
Current State: 98:[22, 66, 33, 38], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [22, 38, 2] Generated Node #2: [22, 38, 2] from Operation: 66/33=2 Current State: 98:[22, 38, 2], Operations: ['66/33=2'] Exploring Operation: 38*2=76, Resulting Numbers: [22, 76] Generated Node #3: [22, 76] from Operation: 38*2=76 Current State: 98:[22, 76], Operations: ['66/33=2', '38*2=76'] Exploring Operation: 22+76=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[22, 66, 33, 38], Operations: [] Exploring Operation: 66+33=99, Resulting Numbers: [22, 38, 99] Generated Node #0,0: 98:[22, 38, 99] Operation: 66+33=99 Exploring Operation: 38-33=5, Resulting Numbers: [22, 66, 5] Generated Node #0,1: 98:[22, 66, 5] Operation: 38-33=5 Exploring Operation: 66/33=2, Resulting Numbers: [22, 38, 2] Generated Node #0,2: 98:[22, 38, 2] Operation: 66/33=2 Exploring Operation: 66+38=104, Resulting Numbers: [22, 33, 104] Generated Node #0,3: 98:[22, 33, 104] Operation: 66+38=104 Exploring Operation: 66/22=3, Resulting Numbers: [33, 38, 3] Generated Node #0,4: 98:[33, 38, 3] Operation: 66/22=3 Moving to Node #0,2 Current State: 98:[22, 38, 2], Operations: ['66/33=2'] Exploring Operation: 38-22=16, Resulting Numbers: [2, 16] Generated Node #0,2,0: 98:[2, 16] Operation: 38-22=16 Exploring Operation: 22+38=60, Resulting Numbers: [2, 60] Generated Node #0,2,1: 98:[2, 60] Operation: 22+38=60 Exploring Operation: 22*2=44, Resulting Numbers: [38, 44] Generated Node #0,2,2: 98:[38, 44] Operation: 22*2=44 Exploring Operation: 38/2=19, Resulting Numbers: [22, 19] Generated Node #0,2,3: 98:[22, 19] Operation: 38/2=19 Exploring Operation: 22/2=11, Resulting Numbers: [38, 11] Generated Node #0,2,4: 98:[38, 11] Operation: 22/2=11 Moving to Node #0,0 Current State: 98:[22, 38, 99], Operations: ['66+33=99'] Exploring Operation: 38-22=16, Resulting Numbers: [99, 16] Generated Node #0,0,0: 98:[99, 16] Operation: 38-22=16 Exploring Operation: 99-22=77, Resulting Numbers: [38, 77] Generated Node #0,0,1: 98:[38, 77] Operation: 99-22=77 Exploring Operation: 99-38=61, Resulting Numbers: [22, 61] Generated Node #0,0,2: 98:[22, 61] Operation: 99-38=61 Exploring Operation: 22+38=60, Resulting Numbers: [99, 60] Generated Node #0,0,3: 98:[99, 60] Operation: 22+38=60 Exploring Operation: 22+99=121, Resulting Numbers: [38, 121] Generated Node #0,0,4: 98:[38, 121] Operation: 22+99=121 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 98:[99, 16], Operations: ['66+33=99', '38-22=16'] Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,98 unequal: No Solution Exploring Operation: 99*16=1584, Resulting Numbers: [1584] 1584,98 unequal: No Solution Exploring Operation: 99+16=115, Resulting Numbers: [115] 115,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 98:[99, 60], Operations: ['66+33=99', '22+38=60'] Exploring Operation: 99+60=159, Resulting Numbers: [159] 159,98 unequal: No Solution Exploring Operation: 99*60=5940, Resulting Numbers: [5940] 5940,98 unequal: No Solution Exploring Operation: 99-60=39, Resulting Numbers: [39] 39,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 98:[22, 61], Operations: ['66+33=99', '99-38=61'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,98 unequal: No Solution Exploring Operation: 22*61=1342, Resulting Numbers: [1342] 1342,98 unequal: No Solution Exploring Operation: 22+61=83, Resulting Numbers: [83] 83,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 98:[38, 77], Operations: ['66+33=99', '99-22=77'] Exploring Operation: 38+77=115, Resulting Numbers: [115] 115,98 unequal: No Solution Exploring Operation: 38*77=2926, Resulting Numbers: [2926] 2926,98 unequal: No Solution Exploring Operation: 77-38=39, Resulting Numbers: [39] 39,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 98:[38, 121], Operations: ['66+33=99', '22+99=121'] Exploring Operation: 38+121=159, Resulting Numbers: [159] 159,98 unequal: No Solution Exploring Operation: 121-38=83, Resulting Numbers: [83] 83,98 unequal: No Solution Exploring Operation: 38*121=4598, Resulting Numbers: [4598] 4598,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 98:[22, 66, 5], Operations: ['38-33=5'] Exploring Operation: 66-5=61, Resulting Numbers: [22, 61] Generated Node #0,1,0: 98:[22, 61] Operation: 66-5=61 Exploring Operation: 66-22=44, Resulting Numbers: [5, 44] Generated Node #0,1,1: 98:[5, 44] Operation: 66-22=44 Exploring Operation: 66/22=3, Resulting Numbers: [5, 3] Generated Node #0,1,2: 98:[5, 3] Operation: 66/22=3 Exploring Operation: 22-5=17, Resulting Numbers: [66, 17] Generated Node #0,1,3: 98:[66, 17] Operation: 22-5=17 Exploring Operation: 22+66=88, Resulting Numbers: [5, 88] Generated Node #0,1,4: 98:[5, 88] Operation: 22+66=88 Moving to Node #0,4 Current State: 98:[33, 38, 3], Operations: ['66/22=3'] Exploring Operation: 33+3=36, Resulting Numbers: [38, 36] Generated Node #0,4,0: 98:[38, 36] Operation: 33+3=36 Exploring Operation: 38-33=5, Resulting Numbers: [3, 5] Generated Node #0,4,1: 98:[3, 5] Operation: 38-33=5 Exploring Operation: 33/3=11, Resulting Numbers: [38, 11] Generated Node #0,4,2: 98:[38, 11] Operation: 33/3=11 Exploring Operation: 33*3=99, Resulting Numbers: [38, 99] Generated Node #0,4,3: 98:[38, 99] Operation: 33*3=99 Exploring Operation: 33+38=71, Resulting Numbers: [3, 71] Generated Node #0,4,4: 98:[3, 71] Operation: 33+38=71 Moving to Node #0,3 Current State: 98:[22, 33, 104], Operations: ['66+38=104'] Exploring Operation: 104-33=71, Resulting Numbers: [22, 71] Generated Node #0,3,0: 98:[22, 71] Operation: 104-33=71 Exploring Operation: 104-22=82, Resulting Numbers: [33, 82] Generated Node #0,3,1: 98:[33, 82] Operation: 104-22=82 Exploring Operation: 22+104=126, Resulting Numbers: [33, 126] Generated Node #0,3,2: 98:[33, 126] Operation: 22+104=126 Exploring Operation: 33-22=11, Resulting Numbers: [104, 11] Generated Node #0,3,3: 98:[104, 11] Operation: 33-22=11 Exploring Operation: 22+33=55, Resulting Numbers: [104, 55] Generated Node #0,3,4: 98:[104, 55] Operation: 22+33=55 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 98:[104, 11], Operations: ['66+38=104', '33-22=11'] Exploring Operation: 104+11=115, Resulting Numbers: [115] 115,98 unequal: No Solution Exploring Operation: 104*11=1144, Resulting Numbers: [1144] 1144,98 unequal: No Solution Exploring Operation: 104-11=93, Resulting Numbers: [93] 93,98 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 #0,3,4 Current State: 98:[104, 55], Operations: ['66+38=104', '22+33=55'] Exploring Operation: 104*55=5720, Resulting Numbers: [5720] 5720,98 unequal: No Solution Exploring Operation: 104+55=159, Resulting Numbers: [159] 159,98 unequal: No Solution Exploring Operation: 104-55=49, Resulting Numbers: [49] 49,98 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:[22, 71], Operations: ['66+38=104', '104-33=71'] Exploring Operation: 22+71=93, Resulting Numbers: [93] 93,98 unequal: No Solution Exploring Operation: 22*71=1562, Resulting Numbers: [1562] 1562,98 unequal: No Solution Exploring Operation: 71-22=49, Resulting Numbers: [49] 49,98 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:[33, 82], Operations: ['66+38=104', '104-22=82'] Exploring Operation: 33+82=115, Resulting Numbers: [115] 115,98 unequal: No Solution Exploring Operation: 33*82=2706, Resulting Numbers: [2706] 2706,98 unequal: No Solution Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,98 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:[33, 126], Operations: ['66+38=104', '22+104=126'] Exploring Operation: 33*126=4158, Resulting Numbers: [4158] 4158,98 unequal: No Solution Exploring Operation: 126-33=93, Resulting Numbers: [93] 93,98 unequal: No Solution Exploring Operation: 33+126=159, Resulting Numbers: [159] 159,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,0 Current State: 98:[2, 16], Operations: ['66/33=2', '38-22=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,98 unequal: No Solution Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,98 unequal: No Solution Exploring Operation: 16/2=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,98 unequal: No Solution Moving to Node #0,1,2 Current State: 98:[5, 3], Operations: ['38-33=5', '66/22=3'] Exploring Operation: 5+3=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,98 unequal: No Solution Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,98 unequal: No Solution Moving to Node #0,4,1 Current State: 98:[3, 5], Operations: ['66/22=3', '38-33=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,98 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[5, 44], Operations: ['38-33=5', '66-22=44'] Exploring Operation: 5*44=220, Resulting Numbers: [220] 220,98 unequal: No Solution Exploring Operation: 5+44=49, Resulting Numbers: [49] 49,98 unequal: No Solution Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,98 unequal: No Solution Moving to Node #0,2,1 Current State: 98:[2, 60], Operations: ['66/33=2', '22+38=60'] Exploring Operation: 2*60=120, Resulting Numbers: [120] 120,98 unequal: No Solution Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,98 unequal: No Solution Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,98 unequal: No Solution Exploring Operation: 2+60=62, Resulting Numbers: [62] 62,98 unequal: No Solution Moving to Node #0,4,3 Current State: 98:[38, 99], Operations: ['66/22=3', '33*3=99'] Exploring Operation: 99-38=61, Resulting Numbers: [61] 61,98 unequal: No Solution Exploring Operation: 38*99=3762, Resulting Numbers: [3762] 3762,98 unequal: No Solution Exploring Operation: 38+99=137, Resulting Numbers: [137] 137,98 unequal: No Solution Moving to Node #0,1,4 Current State: 98:[5, 88], Operations: ['38-33=5', '22+66=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,98 unequal: No Solution Exploring Operation: 5*88=440, Resulting Numbers: [440] 440,98 unequal: No Solution Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,98 unequal: No Solution Moving to Node #0,2,3 Current State: 98:[22, 19], Operations: ['66/33=2', '38/2=19'] Exploring Operation: 22+19=41, Resulting Numbers: [41] 41,98 unequal: No Solution Exploring Operation: 22-19=3, Resulting Numbers: [3] 3,98 unequal: No Solution Exploring Operation: 22*19=418, Resulting Numbers: [418] 418,98 unequal: No Solution Moving to Node #0,2,4 Current State: 98:[38, 11], Operations: ['66/33=2', '22/2=11'] Exploring Operation: 38+11=49, Resulting Numbers: [49] 49,98 unequal: No Solution Exploring Operation: 38*11=418, Resulting Numbers: [418] 418,98 unequal: No Solution Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,98 unequal: No Solution Moving to Node #0,4,2 Current State: 98:[38, 11], Operations: ['66/22=3', '33/3=11'] Exploring Operation: 38+11=49, Resulting Numbers: [49] 49,98 unequal: No Solution Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,98 unequal: No Solution Exploring Operation: 38*11=418, Resulting Numbers: [418] 418,98 unequal: No Solution Moving to Node #0,2,2 Current State: 98:[38, 44], Operations: ['66/33=2', '22*2=44'] Exploring Operation: 38+44=82, Resulting Numbers: [82] 82,98 unequal: No Solution Exploring Operation: 38*44=1672, Resulting Numbers: [1672] 1672,98 unequal: No Solution Exploring Operation: 44-38=6, Resulting Numbers: [6] 6,98 unequal: No Solution Moving to Node #0,1,0 Current State: 98:[22, 61], Operations: ['38-33=5', '66-5=61'] Exploring Operation: 22*61=1342, Resulting Numbers: [1342] 1342,98 unequal: No Solution Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,98 unequal: No Solution Exploring Operation: 22+61=83, Resulting Numbers: [83] 83,98 unequal: No Solution Moving to Node #0,1,3 Current State: 98:[66, 17], Operations: ['38-33=5', '22-5=17'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,98 unequal: No Solution Exploring Operation: 66+17=83, Resulting Numbers: [83] 83,98 unequal: No Solution Exploring Operation: 66*17=1122, Resulting Numbers: [1122] 1122,98 unequal: No Solution Moving to Node #0,4,4 Current State: 98:[3, 71], Operations: ['66/22=3', '33+38=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,98 unequal: No Solution Exploring Operation: 3*71=213, Resulting Numbers: [213] 213,98 unequal: No Solution Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,98 unequal: No Solution Moving to Node #0,4,0 Current State: 98:[38, 36], Operations: ['66/22=3', '33+3=36'] Exploring Operation: 38+36=74, Resulting Numbers: [74] 74,98 unequal: No Solution Exploring Operation: 38*36=1368, Resulting Numbers: [1368] 1368,98 unequal: No Solution Exploring Operation: 38-36=2, Resulting Numbers: [2] 2,98 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 3, 66, 90, 34 ]
61
[ "66-3=63", "90+34=124", "124-63=61" ]
Current State: 61:[3, 66, 90, 34], Operations: [] Exploring Operation: 66-3=63, Resulting Numbers: [90, 34, 63] Generated Node #2: [90, 34, 63] from Operation: 66-3=63 Current State: 61:[90, 34, 63], Operations: ['66-3=63'] Exploring Operation: 90+34=124, Resulting Numbers: [63, 124] Generated Node #3: [63, 124] from Operation: 90+34=124 Current State: 61:[63, 124], Operations: ['66-3=63', '90+34=124'] Exploring Operation: 124-63=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[3, 66, 90, 34], Operations: [] Exploring Operation: 66-3=63, Resulting Numbers: [90, 34, 63] Generated Node #0,0: 61:[90, 34, 63] Operation: 66-3=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[90, 34, 63], Operations: ['66-3=63'] Exploring Operation: 90-34=56, Resulting Numbers: [63, 56] Generated Node #0,0,0: 61:[63, 56] Operation: 90-34=56 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 61:[63, 56], Operations: ['66-3=63', '90-34=56'] Exploring Operation: 63-56=7, Resulting Numbers: [7] 7,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 9, 7, 3, 46 ]
59
[ "9+7=16", "46-3=43", "16+43=59" ]
Current State: 59:[9, 7, 3, 46], Operations: [] Exploring Operation: 9+7=16, Resulting Numbers: [3, 46, 16] Generated Node #2: [3, 46, 16] from Operation: 9+7=16 Current State: 59:[3, 46, 16], Operations: ['9+7=16'] Exploring Operation: 46-3=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 46-3=43 Current State: 59:[16, 43], Operations: ['9+7=16', '46-3=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[9, 7, 3, 46], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [3, 46, 63] Generated Node #0,0: 59:[3, 46, 63] Operation: 9*7=63 Exploring Operation: 9*3=27, Resulting Numbers: [7, 46, 27] Generated Node #0,1: 59:[7, 46, 27] Operation: 9*3=27 Exploring Operation: 9+7=16, Resulting Numbers: [3, 46, 16] Generated Node #0,2: 59:[3, 46, 16] Operation: 9+7=16 Exploring Operation: 7*3=21, Resulting Numbers: [9, 46, 21] Generated Node #0,3: 59:[9, 46, 21] Operation: 7*3=21 Moving to Node #0,0 Current State: 59:[3, 46, 63], Operations: ['9*7=63'] Exploring Operation: 46-3=43, Resulting Numbers: [63, 43] Generated Node #0,0,0: 59:[63, 43] Operation: 46-3=43 Exploring Operation: 3+46=49, Resulting Numbers: [63, 49] Generated Node #0,0,1: 59:[63, 49] Operation: 3+46=49 Exploring Operation: 3+63=66, Resulting Numbers: [46, 66] Generated Node #0,0,2: 59:[46, 66] Operation: 3+63=66 Exploring Operation: 63-3=60, Resulting Numbers: [46, 60] Generated Node #0,0,3: 59:[46, 60] Operation: 63-3=60 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 59:[63, 49], Operations: ['9*7=63', '3+46=49'] Exploring Operation: 63*49=3087, Resulting Numbers: [3087] 3087,59 unequal: No Solution Exploring Operation: 63-49=14, Resulting Numbers: [14] 14,59 unequal: No Solution Exploring Operation: 63+49=112, Resulting Numbers: [112] 112,59 unequal: No Solution No 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: 59:[46, 60], Operations: ['9*7=63', '63-3=60'] Exploring Operation: 46*60=2760, Resulting Numbers: [2760] 2760,59 unequal: No Solution Exploring Operation: 46+60=106, Resulting Numbers: [106] 106,59 unequal: No Solution Exploring Operation: 60-46=14, Resulting Numbers: [14] 14,59 unequal: No Solution No 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: 59:[63, 43], Operations: ['9*7=63', '46-3=43'] Exploring Operation: 63+43=106, Resulting Numbers: [106] 106,59 unequal: No Solution Exploring Operation: 63*43=2709, Resulting Numbers: [2709] 2709,59 unequal: No Solution Exploring Operation: 63-43=20, Resulting Numbers: [20] 20,59 unequal: No Solution No 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: 59:[46, 66], Operations: ['9*7=63', '3+63=66'] Exploring Operation: 46+66=112, Resulting Numbers: [112] 112,59 unequal: No Solution Exploring Operation: 66-46=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 46*66=3036, Resulting Numbers: [3036] 3036,59 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: 59:[7, 46, 27], Operations: ['9*3=27'] Exploring Operation: 27-7=20, Resulting Numbers: [46, 20] Generated Node #0,1,0: 59:[46, 20] Operation: 27-7=20 Exploring Operation: 7+27=34, Resulting Numbers: [46, 34] Generated Node #0,1,1: 59:[46, 34] Operation: 7+27=34 Exploring Operation: 7+46=53, Resulting Numbers: [27, 53] Generated Node #0,1,2: 59:[27, 53] Operation: 7+46=53 Exploring Operation: 46-7=39, Resulting Numbers: [27, 39] Generated Node #0,1,3: 59:[27, 39] Operation: 46-7=39 Moving to Node #0,3 Current State: 59:[9, 46, 21], Operations: ['7*3=21'] Exploring Operation: 9+21=30, Resulting Numbers: [46, 30] Generated Node #0,3,0: 59:[46, 30] Operation: 9+21=30 Exploring Operation: 9+46=55, Resulting Numbers: [21, 55] Generated Node #0,3,1: 59:[21, 55] Operation: 9+46=55 Exploring Operation: 46-9=37, Resulting Numbers: [21, 37] Generated Node #0,3,2: 59:[21, 37] Operation: 46-9=37 Exploring Operation: 46+21=67, Resulting Numbers: [9, 67] Generated Node #0,3,3: 59:[9, 67] Operation: 46+21=67 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 59:[46, 30], Operations: ['7*3=21', '9+21=30'] Exploring Operation: 46-30=16, Resulting Numbers: [16] 16,59 unequal: No Solution Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,59 unequal: No Solution Exploring Operation: 46*30=1380, Resulting Numbers: [1380] 1380,59 unequal: No Solution No 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: 59:[21, 55], Operations: ['7*3=21', '9+46=55'] Exploring Operation: 21*55=1155, Resulting Numbers: [1155] 1155,59 unequal: No Solution Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,59 unequal: No Solution Exploring Operation: 21+55=76, Resulting Numbers: [76] 76,59 unequal: No Solution No 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: 59:[9, 67], Operations: ['7*3=21', '46+21=67'] Exploring Operation: 9+67=76, Resulting Numbers: [76] 76,59 unequal: No Solution Exploring Operation: 9*67=603, Resulting Numbers: [603] 603,59 unequal: No Solution Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,59 unequal: No Solution No 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: 59:[21, 37], Operations: ['7*3=21', '46-9=37'] Exploring Operation: 37-21=16, Resulting Numbers: [16] 16,59 unequal: No Solution Exploring Operation: 21+37=58, Resulting Numbers: [58] 58,59 unequal: No Solution Exploring Operation: 21*37=777, Resulting Numbers: [777] 777,59 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: 59:[3, 46, 16], Operations: ['9+7=16'] Exploring Operation: 3*16=48, Resulting Numbers: [46, 48] Generated Node #0,2,0: 59:[46, 48] Operation: 3*16=48 Exploring Operation: 46-3=43, Resulting Numbers: [16, 43] Generated Node #0,2,1: 59:[16, 43] Operation: 46-3=43 Exploring Operation: 3+16=19, Resulting Numbers: [46, 19] Generated Node #0,2,2: 59:[46, 19] Operation: 3+16=19 Exploring Operation: 3+46=49, Resulting Numbers: [16, 49] Generated Node #0,2,3: 59:[16, 49] Operation: 3+46=49 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 59:[46, 48], Operations: ['9+7=16', '3*16=48'] Exploring Operation: 48-46=2, Resulting Numbers: [2] 2,59 unequal: No Solution Exploring Operation: 46+48=94, Resulting Numbers: [94] 94,59 unequal: No Solution Exploring Operation: 46*48=2208, Resulting Numbers: [2208] 2208,59 unequal: No Solution No 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: 59:[46, 19], Operations: ['9+7=16', '3+16=19'] Exploring Operation: 46-19=27, Resulting Numbers: [27] 27,59 unequal: No Solution Exploring Operation: 46*19=874, Resulting Numbers: [874] 874,59 unequal: No Solution Exploring Operation: 46+19=65, Resulting Numbers: [65] 65,59 unequal: No Solution No 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: 59:[16, 49], Operations: ['9+7=16', '3+46=49'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,59 unequal: No Solution Exploring Operation: 16+49=65, Resulting Numbers: [65] 65,59 unequal: No Solution Exploring Operation: 16*49=784, Resulting Numbers: [784] 784,59 unequal: No Solution No 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: 59:[16, 43], Operations: ['9+7=16', '46-3=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Moving to Node #0 Current State: 59:[9, 7, 3, 46], Operations: [] Exploring Operation: 9+7=16, Resulting Numbers: [3, 46, 16] Generated Node #0,2: 59:[3, 46, 16] Operation: 9+7=16 Moving to Node #0,2 Current State: 59:[3, 46, 16], Operations: ['9+7=16'] Exploring Operation: 46-3=43, Resulting Numbers: [16, 43] Generated Node #0,2,1: 59:[16, 43] Operation: 46-3=43 Moving to Node #0,2,1 Current State: 59:[16, 43], Operations: ['9+7=16', '46-3=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Exit Sub Search at level 1
0.949653
hs_4
mult_heuristic
[ 28, 41, 87, 39 ]
21
[ "28+41=69", "87-39=48", "69-48=21" ]
Current State: 21:[28, 41, 87, 39], Operations: [] Exploring Operation: 28+41=69, Resulting Numbers: [87, 39, 69] Generated Node #2: [87, 39, 69] from Operation: 28+41=69 Current State: 21:[87, 39, 69], Operations: ['28+41=69'] Exploring Operation: 87-39=48, Resulting Numbers: [69, 48] Generated Node #3: [69, 48] from Operation: 87-39=48 Current State: 21:[69, 48], Operations: ['28+41=69', '87-39=48'] Exploring Operation: 69-48=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[28, 41, 87, 39], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [28, 41, 48] Generated Node #0,0: 21:[28, 41, 48] Operation: 87-39=48 Exploring Operation: 87-41=46, Resulting Numbers: [28, 39, 46] Generated Node #0,1: 21:[28, 39, 46] Operation: 87-41=46 Exploring Operation: 41-39=2, Resulting Numbers: [28, 87, 2] Generated Node #0,2: 21:[28, 87, 2] Operation: 41-39=2 Start Sub Search at level 1: Moving to Node #0,1 Current State: 21:[28, 39, 46], Operations: ['87-41=46'] Exploring Operation: 46-28=18, Resulting Numbers: [39, 18] Generated Node #0,1,0: 21:[39, 18] Operation: 46-28=18 Exploring Operation: 46-39=7, Resulting Numbers: [28, 7] Generated Node #0,1,1: 21:[28, 7] Operation: 46-39=7 Exploring Operation: 39-28=11, Resulting Numbers: [46, 11] Generated Node #0,1,2: 21:[46, 11] Operation: 39-28=11 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 21:[28, 7], Operations: ['87-41=46', '46-39=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,21 unequal: No Solution Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[28, 41, 87, 39], Operations: [] Exploring Operation: 87-41=46, Resulting Numbers: [28, 39, 46] Generated Node #0,1: 21:[28, 39, 46] Operation: 87-41=46 Moving to Node #0,1 Current State: 21:[28, 39, 46], Operations: ['87-41=46'] Exploring Operation: 46-39=7, Resulting Numbers: [28, 7] Generated Node #0,1,1: 21:[28, 7] Operation: 46-39=7 Moving to Node #0,1,1 Current State: 21:[28, 7], Operations: ['87-41=46', '46-39=7'] Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_3
mult_heuristic
[ 8, 81, 68, 4 ]
64
[ "8-4=4", "68/4=17", "81-17=64" ]
Current State: 64:[8, 81, 68, 4], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [81, 68, 4] Generated Node #2: [81, 68, 4] from Operation: 8-4=4 Current State: 64:[81, 68, 4], Operations: ['8-4=4'] Exploring Operation: 68/4=17, Resulting Numbers: [81, 17] Generated Node #3: [81, 17] from Operation: 68/4=17 Current State: 64:[81, 17], Operations: ['8-4=4', '68/4=17'] Exploring Operation: 81-17=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[8, 81, 68, 4], Operations: [] Exploring Operation: 81-4=77, Resulting Numbers: [8, 68, 77] Generated Node #0,0: 64:[8, 68, 77] Operation: 81-4=77 Exploring Operation: 81-68=13, Resulting Numbers: [8, 4, 13] Generated Node #0,1: 64:[8, 4, 13] Operation: 81-68=13 Exploring Operation: 68-4=64, Resulting Numbers: [8, 81, 64] Generated Node #0,2: 64:[8, 81, 64] Operation: 68-4=64 Exploring Operation: 68/4=17, Resulting Numbers: [8, 81, 17] Generated Node #0,3: 64:[8, 81, 17] Operation: 68/4=17 Exploring Operation: 81-8=73, Resulting Numbers: [68, 4, 73] Generated Node #0,4: 64:[68, 4, 73] Operation: 81-8=73 Start Sub Search at level 1: Moving to Node #0,1 Current State: 64:[8, 4, 13], Operations: ['81-68=13'] Exploring Operation: 8-4=4, Resulting Numbers: [13, 4] Generated Node #0,1,0: 64:[13, 4] Operation: 8-4=4 Exploring Operation: 13-4=9, Resulting Numbers: [8, 9] Generated Node #0,1,1: 64:[8, 9] Operation: 13-4=9 Exploring Operation: 13-8=5, Resulting Numbers: [4, 5] Generated Node #0,1,2: 64:[4, 5] Operation: 13-8=5 Exploring Operation: 4+13=17, Resulting Numbers: [8, 17] Generated Node #0,1,3: 64:[8, 17] Operation: 4+13=17 Exploring Operation: 8*4=32, Resulting Numbers: [13, 32] Generated Node #0,1,4: 64:[13, 32] Operation: 8*4=32 Moving to Node #0,1,1 Current State: 64:[8, 9], Operations: ['81-68=13', '13-4=9'] Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,64 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,64 unequal: No Solution Moving to Node #0,1,3 Current State: 64:[8, 17], Operations: ['81-68=13', '4+13=17'] Exploring Operation: 17-8=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 8+17=25, Resulting Numbers: [25] 25,64 unequal: No Solution Exploring Operation: 8*17=136, Resulting Numbers: [136] 136,64 unequal: No Solution Moving to Node #0,1,2 Current State: 64:[4, 5], Operations: ['81-68=13', '13-8=5'] Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,64 unequal: No Solution Moving to Node #0,1,0 Current State: 64:[13, 4], Operations: ['81-68=13', '8-4=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,64 unequal: No Solution Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,64 unequal: No Solution Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,64 unequal: No Solution Moving to Node #0,1,4 Current State: 64:[13, 32], Operations: ['81-68=13', '8*4=32'] Exploring Operation: 13*32=416, Resulting Numbers: [416] 416,64 unequal: No Solution Exploring Operation: 13+32=45, Resulting Numbers: [45] 45,64 unequal: No Solution Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 64:[68, 4, 73], Operations: ['81-8=73'] Exploring Operation: 68/4=17, Resulting Numbers: [73, 17] Generated Node #0,4,0: 64:[73, 17] Operation: 68/4=17 Exploring Operation: 73-4=69, Resulting Numbers: [68, 69] Generated Node #0,4,1: 64:[68, 69] Operation: 73-4=69 Exploring Operation: 68-4=64, Resulting Numbers: [73, 64] Generated Node #0,4,2: 64:[73, 64] Operation: 68-4=64 Exploring Operation: 68+4=72, Resulting Numbers: [73, 72] Generated Node #0,4,3: 64:[73, 72] Operation: 68+4=72 Exploring Operation: 73-68=5, Resulting Numbers: [4, 5] Generated Node #0,4,4: 64:[4, 5] Operation: 73-68=5 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 64:[4, 5], Operations: ['81-8=73', '73-68=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,64 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: 64:[68, 69], Operations: ['81-8=73', '73-4=69'] Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 68+69=137, Resulting Numbers: [137] 137,64 unequal: No Solution Exploring Operation: 68*69=4692, Resulting Numbers: [4692] 4692,64 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: 64:[73, 64], Operations: ['81-8=73', '68-4=64'] Exploring Operation: 73-64=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 73*64=4672, Resulting Numbers: [4672] 4672,64 unequal: No Solution Exploring Operation: 73+64=137, Resulting Numbers: [137] 137,64 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: 64:[73, 17], Operations: ['81-8=73', '68/4=17'] Exploring Operation: 73+17=90, Resulting Numbers: [90] 90,64 unequal: No Solution Exploring Operation: 73*17=1241, Resulting Numbers: [1241] 1241,64 unequal: No Solution Exploring Operation: 73-17=56, Resulting Numbers: [56] 56,64 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: 64:[73, 72], Operations: ['81-8=73', '68+4=72'] Exploring Operation: 73-72=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 73*72=5256, Resulting Numbers: [5256] 5256,64 unequal: No Solution Exploring Operation: 73+72=145, Resulting Numbers: [145] 145,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[8, 68, 77], Operations: ['81-4=77'] Exploring Operation: 77-68=9, Resulting Numbers: [8, 9] Generated Node #0,0,0: 64:[8, 9] Operation: 77-68=9 Exploring Operation: 8+77=85, Resulting Numbers: [68, 85] Generated Node #0,0,1: 64:[68, 85] Operation: 8+77=85 Exploring Operation: 68-8=60, Resulting Numbers: [77, 60] Generated Node #0,0,2: 64:[77, 60] Operation: 68-8=60 Exploring Operation: 77-8=69, Resulting Numbers: [68, 69] Generated Node #0,0,3: 64:[68, 69] Operation: 77-8=69 Exploring Operation: 8+68=76, Resulting Numbers: [77, 76] Generated Node #0,0,4: 64:[77, 76] Operation: 8+68=76 Moving to Node #0,0,0 Current State: 64:[8, 9], Operations: ['81-4=77', '77-68=9'] Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,64 unequal: No Solution Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,64 unequal: No Solution Moving to Node #0,0,3 Current State: 64:[68, 69], Operations: ['81-4=77', '77-8=69'] Exploring Operation: 68+69=137, Resulting Numbers: [137] 137,64 unequal: No Solution Exploring Operation: 68*69=4692, Resulting Numbers: [4692] 4692,64 unequal: No Solution Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,64 unequal: No Solution Moving to Node #0,0,2 Current State: 64:[77, 60], Operations: ['81-4=77', '68-8=60'] Exploring Operation: 77+60=137, Resulting Numbers: [137] 137,64 unequal: No Solution Exploring Operation: 77*60=4620, Resulting Numbers: [4620] 4620,64 unequal: No Solution Exploring Operation: 77-60=17, Resulting Numbers: [17] 17,64 unequal: No Solution Moving to Node #0,0,1 Current State: 64:[68, 85], Operations: ['81-4=77', '8+77=85'] Exploring Operation: 68+85=153, Resulting Numbers: [153] 153,64 unequal: No Solution Exploring Operation: 68*85=5780, Resulting Numbers: [5780] 5780,64 unequal: No Solution Exploring Operation: 85-68=17, Resulting Numbers: [17] 17,64 unequal: No Solution Moving to Node #0,0,4 Current State: 64:[77, 76], Operations: ['81-4=77', '8+68=76'] Exploring Operation: 77-76=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 77+76=153, Resulting Numbers: [153] 153,64 unequal: No Solution Exploring Operation: 77*76=5852, Resulting Numbers: [5852] 5852,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 64:[8, 81, 64], Operations: ['68-4=64'] Exploring Operation: 8+64=72, Resulting Numbers: [81, 72] Generated Node #0,2,0: 64:[81, 72] Operation: 8+64=72 Exploring Operation: 8+81=89, Resulting Numbers: [64, 89] Generated Node #0,2,1: 64:[64, 89] Operation: 8+81=89 Exploring Operation: 81-64=17, Resulting Numbers: [8, 17] Generated Node #0,2,2: 64:[8, 17] Operation: 81-64=17 Exploring Operation: 81-8=73, Resulting Numbers: [64, 73] Generated Node #0,2,3: 64:[64, 73] Operation: 81-8=73 Exploring Operation: 64/8=8, Resulting Numbers: [81, 8] Generated Node #0,2,4: 64:[81, 8] Operation: 64/8=8 Moving to Node #0,2,2 Current State: 64:[8, 17], Operations: ['68-4=64', '81-64=17'] Exploring Operation: 17-8=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 8+17=25, Resulting Numbers: [25] 25,64 unequal: No Solution Exploring Operation: 8*17=136, Resulting Numbers: [136] 136,64 unequal: No Solution Moving to Node #0,2,3 Current State: 64:[64, 73], Operations: ['68-4=64', '81-8=73'] Exploring Operation: 73-64=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 64*73=4672, Resulting Numbers: [4672] 4672,64 unequal: No Solution Exploring Operation: 64+73=137, Resulting Numbers: [137] 137,64 unequal: No Solution Moving to Node #0,2,4 Current State: 64:[81, 8], Operations: ['68-4=64', '64/8=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,64 unequal: No Solution Exploring Operation: 81*8=648, Resulting Numbers: [648] 648,64 unequal: No Solution Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,64 unequal: No Solution Moving to Node #0,2,0 Current State: 64:[81, 72], Operations: ['68-4=64', '8+64=72'] Exploring Operation: 81*72=5832, Resulting Numbers: [5832] 5832,64 unequal: No Solution Exploring Operation: 81+72=153, Resulting Numbers: [153] 153,64 unequal: No Solution Exploring Operation: 81-72=9, Resulting Numbers: [9] 9,64 unequal: No Solution Moving to Node #0,2,1 Current State: 64:[64, 89], Operations: ['68-4=64', '8+81=89'] Exploring Operation: 64*89=5696, Resulting Numbers: [5696] 5696,64 unequal: No Solution Exploring Operation: 89-64=25, Resulting Numbers: [25] 25,64 unequal: No Solution Exploring Operation: 64+89=153, Resulting Numbers: [153] 153,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 64:[8, 81, 17], Operations: ['68/4=17'] Exploring Operation: 17-8=9, Resulting Numbers: [81, 9] Generated Node #0,3,0: 64:[81, 9] Operation: 17-8=9 Exploring Operation: 8+81=89, Resulting Numbers: [17, 89] Generated Node #0,3,1: 64:[17, 89] Operation: 8+81=89 Exploring Operation: 81-17=64, Resulting Numbers: [8, 64] Generated Node #0,3,2: 64:[8, 64] Operation: 81-17=64 Exploring Operation: 81-8=73, Resulting Numbers: [17, 73] Generated Node #0,3,3: 64:[17, 73] Operation: 81-8=73 Exploring Operation: 8+17=25, Resulting Numbers: [81, 25] Generated Node #0,3,4: 64:[81, 25] Operation: 8+17=25 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 64:[8, 64], Operations: ['68/4=17', '81-17=64'] Exploring Operation: 8*64=512, Resulting Numbers: [512] 512,64 unequal: No Solution Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,64 unequal: No Solution Exploring Operation: 64/8=8, Resulting Numbers: [8] 8,64 unequal: No Solution Exploring Operation: 8+64=72, Resulting Numbers: [72] 72,64 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: 64:[17, 73], Operations: ['68/4=17', '81-8=73'] Exploring Operation: 17*73=1241, Resulting Numbers: [1241] 1241,64 unequal: No Solution Exploring Operation: 73-17=56, Resulting Numbers: [56] 56,64 unequal: No Solution Exploring Operation: 17+73=90, Resulting Numbers: [90] 90,64 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: 64:[81, 9], Operations: ['68/4=17', '17-8=9'] Exploring Operation: 81+9=90, Resulting Numbers: [90] 90,64 unequal: No Solution Exploring Operation: 81/9=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,64 unequal: No Solution Exploring Operation: 81*9=729, Resulting Numbers: [729] 729,64 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: 64:[81, 25], Operations: ['68/4=17', '8+17=25'] Exploring Operation: 81+25=106, Resulting Numbers: [106] 106,64 unequal: No Solution Exploring Operation: 81*25=2025, Resulting Numbers: [2025] 2025,64 unequal: No Solution Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,64 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: 64:[17, 89], Operations: ['68/4=17', '8+81=89'] Exploring Operation: 17+89=106, Resulting Numbers: [106] 106,64 unequal: No Solution Exploring Operation: 89-17=72, Resulting Numbers: [72] 72,64 unequal: No Solution Exploring Operation: 17*89=1513, Resulting Numbers: [1513] 1513,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 73, 3, 72, 67 ]
30
[ "73-67=6", "72/3=24", "6+24=30" ]
Current State: 30:[73, 3, 72, 67], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [3, 72, 6] Generated Node #2: [3, 72, 6] from Operation: 73-67=6 Current State: 30:[3, 72, 6], Operations: ['73-67=6'] Exploring Operation: 72/3=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 72/3=24 Current State: 30:[6, 24], Operations: ['73-67=6', '72/3=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[73, 3, 72, 67], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [73, 3, 5] Generated Node #0,0: 30:[73, 3, 5] Operation: 72-67=5 Exploring Operation: 72/3=24, Resulting Numbers: [73, 67, 24] Generated Node #0,1: 30:[73, 67, 24] Operation: 72/3=24 Exploring Operation: 73-3=70, Resulting Numbers: [72, 67, 70] Generated Node #0,2: 30:[72, 67, 70] Operation: 73-3=70 Exploring Operation: 73-67=6, Resulting Numbers: [3, 72, 6] Generated Node #0,3: 30:[3, 72, 6] Operation: 73-67=6 Exploring Operation: 73-72=1, Resulting Numbers: [3, 67, 1] Generated Node #0,4: 30:[3, 67, 1] Operation: 73-72=1 Start Sub Search at level 1: Moving to Node #0,4 Current State: 30:[3, 67, 1], Operations: ['73-72=1'] Exploring Operation: 67-1=66, Resulting Numbers: [3, 66] Generated Node #0,4,0: 30:[3, 66] Operation: 67-1=66 Exploring Operation: 67-3=64, Resulting Numbers: [1, 64] Generated Node #0,4,1: 30:[1, 64] Operation: 67-3=64 Exploring Operation: 3/1=3, Resulting Numbers: [67, 3] Generated Node #0,4,2: 30:[67, 3] Operation: 3/1=3 Exploring Operation: 3*1=3, Resulting Numbers: [67, 3] Generated Node #0,4,3: 30:[67, 3] Operation: 3*1=3 Exploring Operation: 3-1=2, Resulting Numbers: [67, 2] Generated Node #0,4,4: 30:[67, 2] Operation: 3-1=2 Moving to Node #0,4,1 Current State: 30:[1, 64], Operations: ['73-72=1', '67-3=64'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,30 unequal: No Solution Exploring Operation: 64/1=64, Resulting Numbers: [64] 64,30 unequal: No Solution Exploring Operation: 1*64=64, Resulting Numbers: [64] 64,30 unequal: No Solution Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,30 unequal: No Solution Moving to Node #0,4,0 Current State: 30:[3, 66], Operations: ['73-72=1', '67-1=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,30 unequal: No Solution Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,30 unequal: No Solution Exploring Operation: 3+66=69, Resulting Numbers: [69] 69,30 unequal: No Solution Exploring Operation: 3*66=198, Resulting Numbers: [198] 198,30 unequal: No Solution Moving to Node #0,4,2 Current State: 30:[67, 3], Operations: ['73-72=1', '3/1=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,30 unequal: No Solution Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,30 unequal: No Solution Exploring Operation: 67*3=201, Resulting Numbers: [201] 201,30 unequal: No Solution Moving to Node #0,4,3 Current State: 30:[67, 3], Operations: ['73-72=1', '3*1=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,30 unequal: No Solution Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,30 unequal: No Solution Exploring Operation: 67*3=201, Resulting Numbers: [201] 201,30 unequal: No Solution Moving to Node #0,4,4 Current State: 30:[67, 2], Operations: ['73-72=1', '3-1=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,30 unequal: No Solution Exploring Operation: 67*2=134, Resulting Numbers: [134] 134,30 unequal: No Solution Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,30 unequal: No Solution No 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: 30:[3, 72, 6], Operations: ['73-67=6'] Exploring Operation: 72-6=66, Resulting Numbers: [3, 66] Generated Node #0,3,0: 30:[3, 66] Operation: 72-6=66 Exploring Operation: 6-3=3, Resulting Numbers: [72, 3] Generated Node #0,3,1: 30:[72, 3] Operation: 6-3=3 Exploring Operation: 72/6=12, Resulting Numbers: [3, 12] Generated Node #0,3,2: 30:[3, 12] Operation: 72/6=12 Exploring Operation: 72/3=24, Resulting Numbers: [6, 24] Generated Node #0,3,3: 30:[6, 24] Operation: 72/3=24 Exploring Operation: 72-3=69, Resulting Numbers: [6, 69] Generated Node #0,3,4: 30:[6, 69] Operation: 72-3=69 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 30:[3, 12], Operations: ['73-67=6', '72/6=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,30 unequal: No Solution Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,30 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,30 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: 30:[6, 24], Operations: ['73-67=6', '72/3=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,30 unequal: No Solution Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[73, 3, 72, 67], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [3, 72, 6] Generated Node #0,3: 30:[3, 72, 6] Operation: 73-67=6 Moving to Node #0,3 Current State: 30:[3, 72, 6], Operations: ['73-67=6'] Exploring Operation: 72/3=24, Resulting Numbers: [6, 24] Generated Node #0,3,3: 30:[6, 24] Operation: 72/3=24 Moving to Node #0,3,3 Current State: 30:[6, 24], Operations: ['73-67=6', '72/3=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.963542
hs_5
mult_heuristic
[ 41, 10, 24, 13 ]
98
[ "41*10=410", "24*13=312", "410-312=98" ]
Current State: 98:[41, 10, 24, 13], Operations: [] Exploring Operation: 41*10=410, Resulting Numbers: [24, 13, 410] Generated Node #2: [24, 13, 410] from Operation: 41*10=410 Current State: 98:[24, 13, 410], Operations: ['41*10=410'] Exploring Operation: 24*13=312, Resulting Numbers: [410, 312] Generated Node #3: [410, 312] from Operation: 24*13=312 Current State: 98:[410, 312], Operations: ['41*10=410', '24*13=312'] Exploring Operation: 410-312=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[41, 10, 24, 13], Operations: [] Exploring Operation: 41-24=17, Resulting Numbers: [10, 13, 17] Generated Node #0,0: 98:[10, 13, 17] Operation: 41-24=17 Exploring Operation: 24-13=11, Resulting Numbers: [41, 10, 11] Generated Node #0,1: 98:[41, 10, 11] Operation: 24-13=11 Exploring Operation: 24-10=14, Resulting Numbers: [41, 13, 14] Generated Node #0,2: 98:[41, 13, 14] Operation: 24-10=14 Exploring Operation: 41+10=51, Resulting Numbers: [24, 13, 51] Generated Node #0,3: 98:[24, 13, 51] Operation: 41+10=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 98:[10, 13, 17], Operations: ['41-24=17'] Exploring Operation: 13-10=3, Resulting Numbers: [17, 3] Generated Node #0,0,0: 98:[17, 3] Operation: 13-10=3 Exploring Operation: 17-13=4, Resulting Numbers: [10, 4] Generated Node #0,0,1: 98:[10, 4] Operation: 17-13=4 Exploring Operation: 10+13=23, Resulting Numbers: [17, 23] Generated Node #0,0,2: 98:[17, 23] Operation: 10+13=23 Exploring Operation: 17-10=7, Resulting Numbers: [13, 7] Generated Node #0,0,3: 98:[13, 7] Operation: 17-10=7 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 98:[13, 7], Operations: ['41-24=17', '17-10=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,98 unequal: No Solution Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,98 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,98 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: 98:[17, 3], Operations: ['41-24=17', '13-10=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,98 unequal: No Solution Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,98 unequal: No Solution Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,98 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: 98:[10, 4], Operations: ['41-24=17', '17-13=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,98 unequal: No Solution Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,98 unequal: No Solution Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,98 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: 98:[17, 23], Operations: ['41-24=17', '10+13=23'] Exploring Operation: 23-17=6, Resulting Numbers: [6] 6,98 unequal: No Solution Exploring Operation: 17+23=40, Resulting Numbers: [40] 40,98 unequal: No Solution Exploring Operation: 17*23=391, Resulting Numbers: [391] 391,98 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: 98:[41, 13, 14], Operations: ['24-10=14'] Exploring Operation: 41-13=28, Resulting Numbers: [14, 28] Generated Node #0,2,0: 98:[14, 28] Operation: 41-13=28 Exploring Operation: 41+14=55, Resulting Numbers: [13, 55] Generated Node #0,2,1: 98:[13, 55] Operation: 41+14=55 Exploring Operation: 41+13=54, Resulting Numbers: [14, 54] Generated Node #0,2,2: 98:[14, 54] Operation: 41+13=54 Exploring Operation: 14-13=1, Resulting Numbers: [41, 1] Generated Node #0,2,3: 98:[41, 1] Operation: 14-13=1 Moving to Node #0,2,2 Current State: 98:[14, 54], Operations: ['24-10=14', '41+13=54'] Exploring Operation: 14+54=68, Resulting Numbers: [68] 68,98 unequal: No Solution Exploring Operation: 14*54=756, Resulting Numbers: [756] 756,98 unequal: No Solution Exploring Operation: 54-14=40, Resulting Numbers: [40] 40,98 unequal: No Solution Moving to Node #0,2,1 Current State: 98:[13, 55], Operations: ['24-10=14', '41+14=55'] Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,98 unequal: No Solution Exploring Operation: 13*55=715, Resulting Numbers: [715] 715,98 unequal: No Solution Exploring Operation: 13+55=68, Resulting Numbers: [68] 68,98 unequal: No Solution Moving to Node #0,2,3 Current State: 98:[41, 1], Operations: ['24-10=14', '14-13=1'] Exploring Operation: 41/1=41, Resulting Numbers: [41] 41,98 unequal: No Solution Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,98 unequal: No Solution Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,98 unequal: No Solution Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,98 unequal: No Solution Moving to Node #0,2,0 Current State: 98:[14, 28], Operations: ['24-10=14', '41-13=28'] Exploring Operation: 28/14=2, Resulting Numbers: [2] 2,98 unequal: No Solution Exploring Operation: 14+28=42, Resulting Numbers: [42] 42,98 unequal: No Solution Exploring Operation: 28-14=14, Resulting Numbers: [14] 14,98 unequal: No Solution Exploring Operation: 14*28=392, Resulting Numbers: [392] 392,98 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 Current State: 98:[24, 13, 51], Operations: ['41+10=51'] Exploring Operation: 24-13=11, Resulting Numbers: [51, 11] Generated Node #0,3,0: 98:[51, 11] Operation: 24-13=11 Exploring Operation: 51-24=27, Resulting Numbers: [13, 27] Generated Node #0,3,1: 98:[13, 27] Operation: 51-24=27 Exploring Operation: 51-13=38, Resulting Numbers: [24, 38] Generated Node #0,3,2: 98:[24, 38] Operation: 51-13=38 Exploring Operation: 24+13=37, Resulting Numbers: [51, 37] Generated Node #0,3,3: 98:[51, 37] Operation: 24+13=37 Moving to Node #0,3,0 Current State: 98:[51, 11], Operations: ['41+10=51', '24-13=11'] Exploring Operation: 51-11=40, Resulting Numbers: [40] 40,98 unequal: No Solution Exploring Operation: 51+11=62, Resulting Numbers: [62] 62,98 unequal: No Solution Exploring Operation: 51*11=561, Resulting Numbers: [561] 561,98 unequal: No Solution Moving to Node #0,3,3 Current State: 98:[51, 37], Operations: ['41+10=51', '24+13=37'] Exploring Operation: 51-37=14, Resulting Numbers: [14] 14,98 unequal: No Solution Exploring Operation: 51+37=88, Resulting Numbers: [88] 88,98 unequal: No Solution Exploring Operation: 51*37=1887, Resulting Numbers: [1887] 1887,98 unequal: No Solution Moving to Node #0,3,1 Current State: 98:[13, 27], Operations: ['41+10=51', '51-24=27'] Exploring Operation: 13*27=351, Resulting Numbers: [351] 351,98 unequal: No Solution Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,98 unequal: No Solution Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,98 unequal: No Solution Moving to Node #0,3,2 Current State: 98:[24, 38], Operations: ['41+10=51', '51-13=38'] Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,98 unequal: No Solution Exploring Operation: 24*38=912, Resulting Numbers: [912] 912,98 unequal: No Solution Exploring Operation: 24+38=62, Resulting Numbers: [62] 62,98 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 #0,1 Current State: 98:[41, 10, 11], Operations: ['24-13=11'] Exploring Operation: 11-10=1, Resulting Numbers: [41, 1] Generated Node #0,1,0: 98:[41, 1] Operation: 11-10=1 Exploring Operation: 10+11=21, Resulting Numbers: [41, 21] Generated Node #0,1,1: 98:[41, 21] Operation: 10+11=21 Exploring Operation: 41+10=51, Resulting Numbers: [11, 51] Generated Node #0,1,2: 98:[11, 51] Operation: 41+10=51 Exploring Operation: 41+11=52, Resulting Numbers: [10, 52] Generated Node #0,1,3: 98:[10, 52] Operation: 41+11=52 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 98:[11, 51], Operations: ['24-13=11', '41+10=51'] Exploring Operation: 11+51=62, Resulting Numbers: [62] 62,98 unequal: No Solution Exploring Operation: 11*51=561, Resulting Numbers: [561] 561,98 unequal: No Solution Exploring Operation: 51-11=40, Resulting Numbers: [40] 40,98 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: 98:[10, 52], Operations: ['24-13=11', '41+11=52'] Exploring Operation: 10+52=62, Resulting Numbers: [62] 62,98 unequal: No Solution Exploring Operation: 10*52=520, Resulting Numbers: [520] 520,98 unequal: No Solution Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,98 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: 98:[41, 1], Operations: ['24-13=11', '11-10=1'] Exploring Operation: 41/1=41, Resulting Numbers: [41] 41,98 unequal: No Solution Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,98 unequal: No Solution Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,98 unequal: No Solution Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,98 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: 98:[41, 21], Operations: ['24-13=11', '10+11=21'] Exploring Operation: 41-21=20, Resulting Numbers: [20] 20,98 unequal: No Solution Exploring Operation: 41+21=62, Resulting Numbers: [62] 62,98 unequal: No Solution Exploring Operation: 41*21=861, Resulting Numbers: [861] 861,98 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
[ 63, 80, 26, 50 ]
93
[ "80-63=17", "26+50=76", "17+76=93" ]
Current State: 93:[63, 80, 26, 50], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [26, 50, 17] Generated Node #2: [26, 50, 17] from Operation: 80-63=17 Current State: 93:[26, 50, 17], Operations: ['80-63=17'] Exploring Operation: 26+50=76, Resulting Numbers: [17, 76] Generated Node #3: [17, 76] from Operation: 26+50=76 Current State: 93:[17, 76], Operations: ['80-63=17', '26+50=76'] Exploring Operation: 17+76=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[63, 80, 26, 50], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [26, 50, 17] Generated Node #0,0: 93:[26, 50, 17] Operation: 80-63=17 Exploring Operation: 63+26=89, Resulting Numbers: [80, 50, 89] Generated Node #0,1: 93:[80, 50, 89] Operation: 63+26=89 Exploring Operation: 63-50=13, Resulting Numbers: [80, 26, 13] Generated Node #0,2: 93:[80, 26, 13] Operation: 63-50=13 Exploring Operation: 80-50=30, Resulting Numbers: [63, 26, 30] Generated Node #0,3: 93:[63, 26, 30] Operation: 80-50=30 Start Sub Search at level 1: Moving to Node #0,2 Current State: 93:[80, 26, 13], Operations: ['63-50=13'] Exploring Operation: 26/13=2, Resulting Numbers: [80, 2] Generated Node #0,2,0: 93:[80, 2] Operation: 26/13=2 Exploring Operation: 26+13=39, Resulting Numbers: [80, 39] Generated Node #0,2,1: 93:[80, 39] Operation: 26+13=39 Exploring Operation: 80+26=106, Resulting Numbers: [13, 106] Generated Node #0,2,2: 93:[13, 106] Operation: 80+26=106 Exploring Operation: 80+13=93, Resulting Numbers: [26, 93] Generated Node #0,2,3: 93:[26, 93] Operation: 80+13=93 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 93:[26, 93], Operations: ['63-50=13', '80+13=93'] Exploring Operation: 26*93=2418, Resulting Numbers: [2418] 2418,93 unequal: No Solution Exploring Operation: 26+93=119, Resulting Numbers: [119] 119,93 unequal: No Solution Exploring Operation: 93-26=67, Resulting Numbers: [67] 67,93 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: 93:[80, 2], Operations: ['63-50=13', '26/13=2'] Exploring Operation: 80*2=160, Resulting Numbers: [160] 160,93 unequal: No Solution Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,93 unequal: No Solution Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,93 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: 93:[80, 39], Operations: ['63-50=13', '26+13=39'] Exploring Operation: 80-39=41, Resulting Numbers: [41] 41,93 unequal: No Solution Exploring Operation: 80+39=119, Resulting Numbers: [119] 119,93 unequal: No Solution Exploring Operation: 80*39=3120, Resulting Numbers: [3120] 3120,93 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: 93:[13, 106], Operations: ['63-50=13', '80+26=106'] Exploring Operation: 13*106=1378, Resulting Numbers: [1378] 1378,93 unequal: No Solution Exploring Operation: 13+106=119, Resulting Numbers: [119] 119,93 unequal: No Solution Exploring Operation: 106-13=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[63, 80, 26, 50], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [80, 26, 13] Generated Node #0,2: 93:[80, 26, 13] Operation: 63-50=13 Moving to Node #0,2 Current State: 93:[80, 26, 13], Operations: ['63-50=13'] Exploring Operation: 80+26=106, Resulting Numbers: [13, 106] Generated Node #0,2,2: 93:[13, 106] Operation: 80+26=106 Moving to Node #0,2,2 Current State: 93:[13, 106], Operations: ['63-50=13', '80+26=106'] Exploring Operation: 106-13=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.978299
hs_4
sum_heuristic
[ 41, 22, 75, 31 ]
41
[ "22*75=1650", "31+1650=1681", "1681/41=41" ]
Current State: 41:[41, 22, 75, 31], Operations: [] Exploring Operation: 22*75=1650, Resulting Numbers: [41, 31, 1650] Generated Node #2: [41, 31, 1650] from Operation: 22*75=1650 Current State: 41:[41, 31, 1650], Operations: ['22*75=1650'] Exploring Operation: 31+1650=1681, Resulting Numbers: [41, 1681] Generated Node #3: [41, 1681] from Operation: 31+1650=1681 Current State: 41:[41, 1681], Operations: ['22*75=1650', '31+1650=1681'] Exploring Operation: 1681/41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[41, 22, 75, 31], Operations: [] Exploring Operation: 75-22=53, Resulting Numbers: [41, 31, 53] Generated Node #0,0: 41:[41, 31, 53] Operation: 75-22=53 Exploring Operation: 41+22=63, Resulting Numbers: [75, 31, 63] Generated Node #0,1: 41:[75, 31, 63] Operation: 41+22=63 Exploring Operation: 22+31=53, Resulting Numbers: [41, 75, 53] Generated Node #0,2: 41:[41, 75, 53] Operation: 22+31=53 Exploring Operation: 75-41=34, Resulting Numbers: [22, 31, 34] Generated Node #0,3: 41:[22, 31, 34] Operation: 75-41=34 Exploring Operation: 75-31=44, Resulting Numbers: [41, 22, 44] Generated Node #0,4: 41:[41, 22, 44] Operation: 75-31=44 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[41, 31, 53], Operations: ['75-22=53'] Exploring Operation: 41-31=10, Resulting Numbers: [53, 10] Generated Node #0,0,0: 41:[53, 10] Operation: 41-31=10 Exploring Operation: 53-31=22, Resulting Numbers: [41, 22] Generated Node #0,0,1: 41:[41, 22] Operation: 53-31=22 Exploring Operation: 53-41=12, Resulting Numbers: [31, 12] Generated Node #0,0,2: 41:[31, 12] Operation: 53-41=12 Exploring Operation: 31+53=84, Resulting Numbers: [41, 84] Generated Node #0,0,3: 41:[41, 84] Operation: 31+53=84 Exploring Operation: 41+31=72, Resulting Numbers: [53, 72] Generated Node #0,0,4: 41:[53, 72] Operation: 41+31=72 Moving to Node #0,0,1 Current State: 41:[41, 22], Operations: ['75-22=53', '53-31=22'] Exploring Operation: 41+22=63, Resulting Numbers: [63] 63,41 unequal: No Solution Exploring Operation: 41*22=902, Resulting Numbers: [902] 902,41 unequal: No Solution Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,41 unequal: No Solution Moving to Node #0,0,2 Current State: 41:[31, 12], Operations: ['75-22=53', '53-41=12'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,41 unequal: No Solution Exploring Operation: 31*12=372, Resulting Numbers: [372] 372,41 unequal: No Solution Moving to Node #0,0,0 Current State: 41:[53, 10], Operations: ['75-22=53', '41-31=10'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,41 unequal: No Solution Exploring Operation: 53*10=530, Resulting Numbers: [530] 530,41 unequal: No Solution Exploring Operation: 53+10=63, Resulting Numbers: [63] 63,41 unequal: No Solution Moving to Node #0,0,3 Current State: 41:[41, 84], Operations: ['75-22=53', '31+53=84'] Exploring Operation: 41+84=125, Resulting Numbers: [125] 125,41 unequal: No Solution Exploring Operation: 41*84=3444, Resulting Numbers: [3444] 3444,41 unequal: No Solution Exploring Operation: 84-41=43, Resulting Numbers: [43] 43,41 unequal: No Solution Moving to Node #0,0,4 Current State: 41:[53, 72], Operations: ['75-22=53', '41+31=72'] Exploring Operation: 53+72=125, Resulting Numbers: [125] 125,41 unequal: No Solution Exploring Operation: 53*72=3816, Resulting Numbers: [3816] 3816,41 unequal: No Solution Exploring Operation: 72-53=19, Resulting Numbers: [19] 19,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 41:[41, 22, 44], Operations: ['75-31=44'] Exploring Operation: 22+44=66, Resulting Numbers: [41, 66] Generated Node #0,4,0: 41:[41, 66] Operation: 22+44=66 Exploring Operation: 41+22=63, Resulting Numbers: [44, 63] Generated Node #0,4,1: 41:[44, 63] Operation: 41+22=63 Exploring Operation: 44-22=22, Resulting Numbers: [41, 22] Generated Node #0,4,2: 41:[41, 22] Operation: 44-22=22 Exploring Operation: 41-22=19, Resulting Numbers: [44, 19] Generated Node #0,4,3: 41:[44, 19] Operation: 41-22=19 Exploring Operation: 44/22=2, Resulting Numbers: [41, 2] Generated Node #0,4,4: 41:[41, 2] Operation: 44/22=2 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 41:[41, 22], Operations: ['75-31=44', '44-22=22'] Exploring Operation: 41+22=63, Resulting Numbers: [63] 63,41 unequal: No Solution Exploring Operation: 41*22=902, Resulting Numbers: [902] 902,41 unequal: No Solution Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,41 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: 41:[41, 66], Operations: ['75-31=44', '22+44=66'] Exploring Operation: 66-41=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 41+66=107, Resulting Numbers: [107] 107,41 unequal: No Solution Exploring Operation: 41*66=2706, Resulting Numbers: [2706] 2706,41 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: 41:[44, 63], Operations: ['75-31=44', '41+22=63'] Exploring Operation: 44+63=107, Resulting Numbers: [107] 107,41 unequal: No Solution Exploring Operation: 44*63=2772, Resulting Numbers: [2772] 2772,41 unequal: No Solution Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,41 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: 41:[44, 19], Operations: ['75-31=44', '41-22=19'] Exploring Operation: 44-19=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 44+19=63, Resulting Numbers: [63] 63,41 unequal: No Solution Exploring Operation: 44*19=836, Resulting Numbers: [836] 836,41 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: 41:[41, 2], Operations: ['75-31=44', '44/22=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,41 unequal: No Solution Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,41 unequal: No Solution Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,41 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: 41:[22, 31, 34], Operations: ['75-41=34'] Exploring Operation: 22+31=53, Resulting Numbers: [34, 53] Generated Node #0,3,0: 41:[34, 53] Operation: 22+31=53 Exploring Operation: 34-22=12, Resulting Numbers: [31, 12] Generated Node #0,3,1: 41:[31, 12] Operation: 34-22=12 Exploring Operation: 31+34=65, Resulting Numbers: [22, 65] Generated Node #0,3,2: 41:[22, 65] Operation: 31+34=65 Exploring Operation: 31-22=9, Resulting Numbers: [34, 9] Generated Node #0,3,3: 41:[34, 9] Operation: 31-22=9 Exploring Operation: 22+34=56, Resulting Numbers: [31, 56] Generated Node #0,3,4: 41:[31, 56] Operation: 22+34=56 Moving to Node #0,3,0 Current State: 41:[34, 53], Operations: ['75-41=34', '22+31=53'] Exploring Operation: 34+53=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 53-34=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 34*53=1802, Resulting Numbers: [1802] 1802,41 unequal: No Solution Moving to Node #0,3,4 Current State: 41:[31, 56], Operations: ['75-41=34', '22+34=56'] Exploring Operation: 31+56=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 31*56=1736, Resulting Numbers: [1736] 1736,41 unequal: No Solution Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,41 unequal: No Solution Moving to Node #0,3,1 Current State: 41:[31, 12], Operations: ['75-41=34', '34-22=12'] Exploring Operation: 31*12=372, Resulting Numbers: [372] 372,41 unequal: No Solution Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,41 unequal: No Solution Moving to Node #0,3,3 Current State: 41:[34, 9], Operations: ['75-41=34', '31-22=9'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,41 unequal: No Solution Exploring Operation: 34+9=43, Resulting Numbers: [43] 43,41 unequal: No Solution Exploring Operation: 34*9=306, Resulting Numbers: [306] 306,41 unequal: No Solution Moving to Node #0,3,2 Current State: 41:[22, 65], Operations: ['75-41=34', '31+34=65'] Exploring Operation: 22+65=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 22*65=1430, Resulting Numbers: [1430] 1430,41 unequal: No Solution Exploring Operation: 65-22=43, Resulting Numbers: [43] 43,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 41:[41, 75, 53], Operations: ['22+31=53'] Exploring Operation: 41+75=116, Resulting Numbers: [53, 116] Generated Node #0,2,0: 41:[53, 116] Operation: 41+75=116 Exploring Operation: 75-53=22, Resulting Numbers: [41, 22] Generated Node #0,2,1: 41:[41, 22] Operation: 75-53=22 Exploring Operation: 41+53=94, Resulting Numbers: [75, 94] Generated Node #0,2,2: 41:[75, 94] Operation: 41+53=94 Exploring Operation: 75-41=34, Resulting Numbers: [53, 34] Generated Node #0,2,3: 41:[53, 34] Operation: 75-41=34 Exploring Operation: 53-41=12, Resulting Numbers: [75, 12] Generated Node #0,2,4: 41:[75, 12] Operation: 53-41=12 Moving to Node #0,2,1 Current State: 41:[41, 22], Operations: ['22+31=53', '75-53=22'] Exploring Operation: 41+22=63, Resulting Numbers: [63] 63,41 unequal: No Solution Exploring Operation: 41*22=902, Resulting Numbers: [902] 902,41 unequal: No Solution Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,41 unequal: No Solution Moving to Node #0,2,3 Current State: 41:[53, 34], Operations: ['22+31=53', '75-41=34'] Exploring Operation: 53*34=1802, Resulting Numbers: [1802] 1802,41 unequal: No Solution Exploring Operation: 53+34=87, Resulting Numbers: [87] 87,41 unequal: No Solution Exploring Operation: 53-34=19, Resulting Numbers: [19] 19,41 unequal: No Solution Moving to Node #0,2,4 Current State: 41:[75, 12], Operations: ['22+31=53', '53-41=12'] Exploring Operation: 75*12=900, Resulting Numbers: [900] 900,41 unequal: No Solution Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,41 unequal: No Solution Exploring Operation: 75+12=87, Resulting Numbers: [87] 87,41 unequal: No Solution Moving to Node #0,2,0 Current State: 41:[53, 116], Operations: ['22+31=53', '41+75=116'] Exploring Operation: 116-53=63, Resulting Numbers: [63] 63,41 unequal: No Solution Exploring Operation: 53*116=6148, Resulting Numbers: [6148] 6148,41 unequal: No Solution Exploring Operation: 53+116=169, Resulting Numbers: [169] 169,41 unequal: No Solution Moving to Node #0,2,2 Current State: 41:[75, 94], Operations: ['22+31=53', '41+53=94'] Exploring Operation: 75+94=169, Resulting Numbers: [169] 169,41 unequal: No Solution Exploring Operation: 94-75=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 75*94=7050, Resulting Numbers: [7050] 7050,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[75, 31, 63], Operations: ['41+22=63'] Exploring Operation: 75-31=44, Resulting Numbers: [63, 44] Generated Node #0,1,0: 41:[63, 44] Operation: 75-31=44 Exploring Operation: 75+31=106, Resulting Numbers: [63, 106] Generated Node #0,1,1: 41:[63, 106] Operation: 75+31=106 Exploring Operation: 75-63=12, Resulting Numbers: [31, 12] Generated Node #0,1,2: 41:[31, 12] Operation: 75-63=12 Exploring Operation: 63-31=32, Resulting Numbers: [75, 32] Generated Node #0,1,3: 41:[75, 32] Operation: 63-31=32 Exploring Operation: 31+63=94, Resulting Numbers: [75, 94] Generated Node #0,1,4: 41:[75, 94] Operation: 31+63=94 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 41:[63, 44], Operations: ['41+22=63', '75-31=44'] Exploring Operation: 63+44=107, Resulting Numbers: [107] 107,41 unequal: No Solution Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 63*44=2772, Resulting Numbers: [2772] 2772,41 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: 41:[31, 12], Operations: ['41+22=63', '75-63=12'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,41 unequal: No Solution Exploring Operation: 31*12=372, Resulting Numbers: [372] 372,41 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: 41:[75, 32], Operations: ['41+22=63', '63-31=32'] Exploring Operation: 75*32=2400, Resulting Numbers: [2400] 2400,41 unequal: No Solution Exploring Operation: 75-32=43, Resulting Numbers: [43] 43,41 unequal: No Solution Exploring Operation: 75+32=107, Resulting Numbers: [107] 107,41 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: 41:[63, 106], Operations: ['41+22=63', '75+31=106'] Exploring Operation: 106-63=43, Resulting Numbers: [43] 43,41 unequal: No Solution Exploring Operation: 63*106=6678, Resulting Numbers: [6678] 6678,41 unequal: No Solution Exploring Operation: 63+106=169, Resulting Numbers: [169] 169,41 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: 41:[75, 94], Operations: ['41+22=63', '31+63=94'] Exploring Operation: 75*94=7050, Resulting Numbers: [7050] 7050,41 unequal: No Solution Exploring Operation: 94-75=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 75+94=169, Resulting Numbers: [169] 169,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 10, 11, 9, 26 ]
77
[ "10+9=19", "26-19=7", "11*7=77" ]
Current State: 77:[10, 11, 9, 26], Operations: [] Exploring Operation: 10+9=19, Resulting Numbers: [11, 26, 19] Generated Node #2: [11, 26, 19] from Operation: 10+9=19 Current State: 77:[11, 26, 19], Operations: ['10+9=19'] Exploring Operation: 26-19=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 26-19=7 Current State: 77:[11, 7], Operations: ['10+9=19', '26-19=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[10, 11, 9, 26], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [11, 9, 16] Generated Node #0,0: 77:[11, 9, 16] Operation: 26-10=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[11, 9, 16], Operations: ['26-10=16'] Exploring Operation: 16-9=7, Resulting Numbers: [11, 7] Generated Node #0,0,0: 77:[11, 7] Operation: 16-9=7 Moving to Node #0,0,0 Current State: 77:[11, 7], Operations: ['26-10=16', '16-9=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[10, 11, 9, 26], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [11, 9, 16] Generated Node #0,0: 77:[11, 9, 16] Operation: 26-10=16 Moving to Node #0,0 Current State: 77:[11, 9, 16], Operations: ['26-10=16'] Exploring Operation: 16-9=7, Resulting Numbers: [11, 7] Generated Node #0,0,0: 77:[11, 7] Operation: 16-9=7 Moving to Node #0,0,0 Current State: 77:[11, 7], Operations: ['26-10=16', '16-9=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 64, 92, 40, 49 ]
22
[ "40*49=1960", "64+1960=2024", "2024/92=22" ]
Current State: 22:[64, 92, 40, 49], Operations: [] Exploring Operation: 40*49=1960, Resulting Numbers: [64, 92, 1960] Generated Node #2: [64, 92, 1960] from Operation: 40*49=1960 Current State: 22:[64, 92, 1960], Operations: ['40*49=1960'] Exploring Operation: 64+1960=2024, Resulting Numbers: [92, 2024] Generated Node #3: [92, 2024] from Operation: 64+1960=2024 Current State: 22:[92, 2024], Operations: ['40*49=1960', '64+1960=2024'] Exploring Operation: 2024/92=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[64, 92, 40, 49], Operations: [] Exploring Operation: 92-64=28, Resulting Numbers: [40, 49, 28] Generated Node #0,0: 22:[40, 49, 28] Operation: 92-64=28 Moving to Node #0,0 Current State: 22:[40, 49, 28], Operations: ['92-64=28'] Exploring Operation: 49-40=9, Resulting Numbers: [28, 9] Generated Node #0,0,0: 22:[28, 9] Operation: 49-40=9 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 22:[28, 9], Operations: ['92-64=28', '49-40=9'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,22 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
[ 55, 54, 41, 71 ]
99
[ "55*54=2970", "71-41=30", "2970/30=99" ]
Current State: 99:[55, 54, 41, 71], Operations: [] Exploring Operation: 55*54=2970, Resulting Numbers: [41, 71, 2970] Generated Node #2: [41, 71, 2970] from Operation: 55*54=2970 Current State: 99:[41, 71, 2970], Operations: ['55*54=2970'] Exploring Operation: 71-41=30, Resulting Numbers: [2970, 30] Generated Node #3: [2970, 30] from Operation: 71-41=30 Current State: 99:[2970, 30], Operations: ['55*54=2970', '71-41=30'] Exploring Operation: 2970/30=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[55, 54, 41, 71], Operations: [] Exploring Operation: 55-54=1, Resulting Numbers: [41, 71, 1] Generated Node #0,0: 99:[41, 71, 1] Operation: 55-54=1 Exploring Operation: 55+54=109, Resulting Numbers: [41, 71, 109] Generated Node #0,1: 99:[41, 71, 109] Operation: 55+54=109 Exploring Operation: 71-55=16, Resulting Numbers: [54, 41, 16] Generated Node #0,2: 99:[54, 41, 16] Operation: 71-55=16 Exploring Operation: 71-54=17, Resulting Numbers: [55, 41, 17] Generated Node #0,3: 99:[55, 41, 17] Operation: 71-54=17 Moving to Node #0,2 Current State: 99:[54, 41, 16], Operations: ['71-55=16'] Exploring Operation: 54+41=95, Resulting Numbers: [16, 95] Generated Node #0,2,0: 99:[16, 95] Operation: 54+41=95 Exploring Operation: 54-41=13, Resulting Numbers: [16, 13] Generated Node #0,2,1: 99:[16, 13] Operation: 54-41=13 Exploring Operation: 41-16=25, Resulting Numbers: [54, 25] Generated Node #0,2,2: 99:[54, 25] Operation: 41-16=25 Exploring Operation: 54-16=38, Resulting Numbers: [41, 38] Generated Node #0,2,3: 99:[41, 38] Operation: 54-16=38 Moving to Node #0,3 Current State: 99:[55, 41, 17], Operations: ['71-54=17'] Exploring Operation: 55+41=96, Resulting Numbers: [17, 96] Generated Node #0,3,0: 99:[17, 96] Operation: 55+41=96 Exploring Operation: 55-17=38, Resulting Numbers: [41, 38] Generated Node #0,3,1: 99:[41, 38] Operation: 55-17=38 Exploring Operation: 55-41=14, Resulting Numbers: [17, 14] Generated Node #0,3,2: 99:[17, 14] Operation: 55-41=14 Exploring Operation: 41-17=24, Resulting Numbers: [55, 24] Generated Node #0,3,3: 99:[55, 24] Operation: 41-17=24 Moving to Node #0,0 Current State: 99:[41, 71, 1], Operations: ['55-54=1'] Exploring Operation: 71+1=72, Resulting Numbers: [41, 72] Generated Node #0,0,0: 99:[41, 72] Operation: 71+1=72 Exploring Operation: 71-41=30, Resulting Numbers: [1, 30] Generated Node #0,0,1: 99:[1, 30] Operation: 71-41=30 Exploring Operation: 41-1=40, Resulting Numbers: [71, 40] Generated Node #0,0,2: 99:[71, 40] Operation: 41-1=40 Exploring Operation: 41+71=112, Resulting Numbers: [1, 112] Generated Node #0,0,3: 99:[1, 112] Operation: 41+71=112 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 99:[1, 30], Operations: ['55-54=1', '71-41=30'] Exploring Operation: 1+30=31, Resulting Numbers: [31] 31,99 unequal: No Solution Exploring Operation: 30/1=30, Resulting Numbers: [30] 30,99 unequal: No Solution Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,99 unequal: No Solution Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 99:[1, 112], Operations: ['55-54=1', '41+71=112'] Exploring Operation: 112-1=111, Resulting Numbers: [111] 111,99 unequal: No Solution Exploring Operation: 1*112=112, Resulting Numbers: [112] 112,99 unequal: No Solution Exploring Operation: 1+112=113, Resulting Numbers: [113] 113,99 unequal: No Solution Exploring Operation: 112/1=112, Resulting Numbers: [112] 112,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 99:[41, 72], Operations: ['55-54=1', '71+1=72'] Exploring Operation: 41*72=2952, Resulting Numbers: [2952] 2952,99 unequal: No Solution Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,99 unequal: No Solution Exploring Operation: 41+72=113, Resulting Numbers: [113] 113,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 99:[71, 40], Operations: ['55-54=1', '41-1=40'] Exploring Operation: 71+40=111, Resulting Numbers: [111] 111,99 unequal: No Solution Exploring Operation: 71-40=31, Resulting Numbers: [31] 31,99 unequal: No Solution Exploring Operation: 71*40=2840, Resulting Numbers: [2840] 2840,99 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: 99:[41, 71, 109], Operations: ['55+54=109'] Exploring Operation: 41+71=112, Resulting Numbers: [109, 112] Generated Node #0,1,0: 99:[109, 112] Operation: 41+71=112 Exploring Operation: 109-41=68, Resulting Numbers: [71, 68] Generated Node #0,1,1: 99:[71, 68] Operation: 109-41=68 Exploring Operation: 71-41=30, Resulting Numbers: [109, 30] Generated Node #0,1,2: 99:[109, 30] Operation: 71-41=30 Exploring Operation: 109-71=38, Resulting Numbers: [41, 38] Generated Node #0,1,3: 99:[41, 38] Operation: 109-71=38 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 99:[109, 30], Operations: ['55+54=109', '71-41=30'] Exploring Operation: 109+30=139, Resulting Numbers: [139] 139,99 unequal: No Solution Exploring Operation: 109*30=3270, Resulting Numbers: [3270] 3270,99 unequal: No Solution Exploring Operation: 109-30=79, Resulting Numbers: [79] 79,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 99:[41, 38], Operations: ['55+54=109', '109-71=38'] Exploring Operation: 41*38=1558, Resulting Numbers: [1558] 1558,99 unequal: No Solution Exploring Operation: 41+38=79, Resulting Numbers: [79] 79,99 unequal: No Solution Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 99:[109, 112], Operations: ['55+54=109', '41+71=112'] Exploring Operation: 112-109=3, Resulting Numbers: [3] 3,99 unequal: No Solution Exploring Operation: 109+112=221, Resulting Numbers: [221] 221,99 unequal: No Solution Exploring Operation: 109*112=12208, Resulting Numbers: [12208] 12208,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 99:[71, 68], Operations: ['55+54=109', '109-41=68'] Exploring Operation: 71*68=4828, Resulting Numbers: [4828] 4828,99 unequal: No Solution Exploring Operation: 71+68=139, Resulting Numbers: [139] 139,99 unequal: No Solution Exploring Operation: 71-68=3, Resulting Numbers: [3] 3,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,1 Current State: 99:[16, 13], Operations: ['71-55=16', '54-41=13'] Exploring Operation: 16*13=208, Resulting Numbers: [208] 208,99 unequal: No Solution Exploring Operation: 16+13=29, Resulting Numbers: [29] 29,99 unequal: No Solution Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,99 unequal: No Solution Moving to Node #0,3,2 Current State: 99:[17, 14], Operations: ['71-54=17', '55-41=14'] Exploring Operation: 17*14=238, Resulting Numbers: [238] 238,99 unequal: No Solution Exploring Operation: 17-14=3, Resulting Numbers: [3] 3,99 unequal: No Solution Exploring Operation: 17+14=31, Resulting Numbers: [31] 31,99 unequal: No Solution Moving to Node #0,2,0 Current State: 99:[16, 95], Operations: ['71-55=16', '54+41=95'] Exploring Operation: 16+95=111, Resulting Numbers: [111] 111,99 unequal: No Solution Exploring Operation: 16*95=1520, Resulting Numbers: [1520] 1520,99 unequal: No Solution Exploring Operation: 95-16=79, Resulting Numbers: [79] 79,99 unequal: No Solution Moving to Node #0,3,0 Current State: 99:[17, 96], Operations: ['71-54=17', '55+41=96'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,99 unequal: No Solution Exploring Operation: 17+96=113, Resulting Numbers: [113] 113,99 unequal: No Solution Exploring Operation: 17*96=1632, Resulting Numbers: [1632] 1632,99 unequal: No Solution Moving to Node #0,3,1 Current State: 99:[41, 38], Operations: ['71-54=17', '55-17=38'] Exploring Operation: 41*38=1558, Resulting Numbers: [1558] 1558,99 unequal: No Solution Exploring Operation: 41+38=79, Resulting Numbers: [79] 79,99 unequal: No Solution Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,99 unequal: No Solution Moving to Node #0,2,3 Current State: 99:[41, 38], Operations: ['71-55=16', '54-16=38'] Exploring Operation: 41*38=1558, Resulting Numbers: [1558] 1558,99 unequal: No Solution Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,99 unequal: No Solution Exploring Operation: 41+38=79, Resulting Numbers: [79] 79,99 unequal: No Solution Moving to Node #0,2,2 Current State: 99:[54, 25], Operations: ['71-55=16', '41-16=25'] Exploring Operation: 54+25=79, Resulting Numbers: [79] 79,99 unequal: No Solution Exploring Operation: 54*25=1350, Resulting Numbers: [1350] 1350,99 unequal: No Solution Exploring Operation: 54-25=29, Resulting Numbers: [29] 29,99 unequal: No Solution Moving to Node #0,3,3 Current State: 99:[55, 24], Operations: ['71-54=17', '41-17=24'] Exploring Operation: 55*24=1320, Resulting Numbers: [1320] 1320,99 unequal: No Solution Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,99 unequal: No Solution Exploring Operation: 55+24=79, Resulting Numbers: [79] 79,99 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 7, 65, 29, 75 ]
49
[ "65+75=140", "140/7=20", "29+20=49" ]
Current State: 49:[7, 65, 29, 75], Operations: [] Exploring Operation: 65+75=140, Resulting Numbers: [7, 29, 140] Generated Node #2: [7, 29, 140] from Operation: 65+75=140 Current State: 49:[7, 29, 140], Operations: ['65+75=140'] Exploring Operation: 140/7=20, Resulting Numbers: [29, 20] Generated Node #3: [29, 20] from Operation: 140/7=20 Current State: 49:[29, 20], Operations: ['65+75=140', '140/7=20'] Exploring Operation: 29+20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[7, 65, 29, 75], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [7, 29, 10] Generated Node #0,0: 49:[7, 29, 10] Operation: 75-65=10 Exploring Operation: 75-29=46, Resulting Numbers: [7, 65, 46] Generated Node #0,1: 49:[7, 65, 46] Operation: 75-29=46 Moving to Node #0,1 Current State: 49:[7, 65, 46], Operations: ['75-29=46'] Exploring Operation: 65-7=58, Resulting Numbers: [46, 58] Generated Node #0,1,0: 49:[46, 58] Operation: 65-7=58 Exploring Operation: 65-46=19, Resulting Numbers: [7, 19] Generated Node #0,1,1: 49:[7, 19] Operation: 65-46=19 Moving to Node #0,0 Current State: 49:[7, 29, 10], Operations: ['75-65=10'] Exploring Operation: 29-10=19, Resulting Numbers: [7, 19] Generated Node #0,0,0: 49:[7, 19] Operation: 29-10=19 Exploring Operation: 29+10=39, Resulting Numbers: [7, 39] Generated Node #0,0,1: 49:[7, 39] Operation: 29+10=39 Moving to Node #0,0,1 Current State: 49:[7, 39], Operations: ['75-65=10', '29+10=39'] Exploring Operation: 7+39=46, Resulting Numbers: [46] 46,49 unequal: No Solution Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,49 unequal: No Solution Moving to Node #0,1,0 Current State: 49:[46, 58], Operations: ['75-29=46', '65-7=58'] Exploring Operation: 58-46=12, Resulting Numbers: [12] 12,49 unequal: No Solution Exploring Operation: 46+58=104, Resulting Numbers: [104] 104,49 unequal: No Solution Moving to Node #0,1,1 Current State: 49:[7, 19], Operations: ['75-29=46', '65-46=19'] Exploring Operation: 7+19=26, Resulting Numbers: [26] 26,49 unequal: No Solution Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,49 unequal: No Solution Moving to Node #0,0,0 Current State: 49:[7, 19], Operations: ['75-65=10', '29-10=19'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,49 unequal: No Solution Exploring Operation: 7+19=26, Resulting Numbers: [26] 26,49 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 57, 31, 36, 30 ]
40
[ "57-31=26", "36+30=66", "66-26=40" ]
Current State: 40:[57, 31, 36, 30], Operations: [] Exploring Operation: 57-31=26, Resulting Numbers: [36, 30, 26] Generated Node #2: [36, 30, 26] from Operation: 57-31=26 Current State: 40:[36, 30, 26], Operations: ['57-31=26'] Exploring Operation: 36+30=66, Resulting Numbers: [26, 66] Generated Node #3: [26, 66] from Operation: 36+30=66 Current State: 40:[26, 66], Operations: ['57-31=26', '36+30=66'] Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[57, 31, 36, 30], Operations: [] Exploring Operation: 57-30=27, Resulting Numbers: [31, 36, 27] Generated Node #0,0: 40:[31, 36, 27] Operation: 57-30=27 Exploring Operation: 36-31=5, Resulting Numbers: [57, 30, 5] Generated Node #0,1: 40:[57, 30, 5] Operation: 36-31=5 Exploring Operation: 31-30=1, Resulting Numbers: [57, 36, 1] Generated Node #0,2: 40:[57, 36, 1] Operation: 31-30=1 Exploring Operation: 57-36=21, Resulting Numbers: [31, 30, 21] Generated Node #0,3: 40:[31, 30, 21] Operation: 57-36=21 Exploring Operation: 57-31=26, Resulting Numbers: [36, 30, 26] Generated Node #0,4: 40:[36, 30, 26] Operation: 57-31=26 Start Sub Search at level 1: Moving to Node #0,0 Current State: 40:[31, 36, 27], Operations: ['57-30=27'] Exploring Operation: 31-27=4, Resulting Numbers: [36, 4] Generated Node #0,0,0: 40:[36, 4] Operation: 31-27=4 Exploring Operation: 36-31=5, Resulting Numbers: [27, 5] Generated Node #0,0,1: 40:[27, 5] Operation: 36-31=5 Exploring Operation: 36+27=63, Resulting Numbers: [31, 63] Generated Node #0,0,2: 40:[31, 63] Operation: 36+27=63 Exploring Operation: 31+27=58, Resulting Numbers: [36, 58] Generated Node #0,0,3: 40:[36, 58] Operation: 31+27=58 Exploring Operation: 36-27=9, Resulting Numbers: [31, 9] Generated Node #0,0,4: 40:[31, 9] Operation: 36-27=9 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 40:[36, 4], Operations: ['57-30=27', '31-27=4'] Exploring Operation: 36*4=144, Resulting Numbers: [144] 144,40 unequal: No Solution Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[57, 31, 36, 30], Operations: [] Exploring Operation: 57-30=27, Resulting Numbers: [31, 36, 27] Generated Node #0,0: 40:[31, 36, 27] Operation: 57-30=27 Moving to Node #0,0 Current State: 40:[31, 36, 27], Operations: ['57-30=27'] Exploring Operation: 31-27=4, Resulting Numbers: [36, 4] Generated Node #0,0,0: 40:[36, 4] Operation: 31-27=4 Moving to Node #0,0,0 Current State: 40:[36, 4], Operations: ['57-30=27', '31-27=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_5
mult_heuristic
[ 40, 26, 71, 87 ]
30
[ "40-26=14", "87-71=16", "14+16=30" ]
Current State: 30:[40, 26, 71, 87], Operations: [] Exploring Operation: 40-26=14, Resulting Numbers: [71, 87, 14] Generated Node #2: [71, 87, 14] from Operation: 40-26=14 Current State: 30:[71, 87, 14], Operations: ['40-26=14'] Exploring Operation: 87-71=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 87-71=16 Current State: 30:[14, 16], Operations: ['40-26=14', '87-71=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[40, 26, 71, 87], Operations: [] Exploring Operation: 87-71=16, Resulting Numbers: [40, 26, 16] Generated Node #0,0: 30:[40, 26, 16] Operation: 87-71=16 Exploring Operation: 87-40=47, Resulting Numbers: [26, 71, 47] Generated Node #0,1: 30:[26, 71, 47] Operation: 87-40=47 Exploring Operation: 71-40=31, Resulting Numbers: [26, 87, 31] Generated Node #0,2: 30:[26, 87, 31] Operation: 71-40=31 Moving to Node #0,0 Current State: 30:[40, 26, 16], Operations: ['87-71=16'] Exploring Operation: 26-16=10, Resulting Numbers: [40, 10] Generated Node #0,0,0: 30:[40, 10] Operation: 26-16=10 Exploring Operation: 40-26=14, Resulting Numbers: [16, 14] Generated Node #0,0,1: 30:[16, 14] Operation: 40-26=14 Exploring Operation: 40-16=24, Resulting Numbers: [26, 24] Generated Node #0,0,2: 30:[26, 24] Operation: 40-16=24 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 30:[16, 14], Operations: ['87-71=16', '40-26=14'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,30 unequal: No Solution Exploring Operation: 16*14=224, Resulting Numbers: [224] 224,30 unequal: No Solution Exploring Operation: 16+14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[40, 26, 71, 87], Operations: [] Exploring Operation: 87-71=16, Resulting Numbers: [40, 26, 16] Generated Node #0,0: 30:[40, 26, 16] Operation: 87-71=16 Moving to Node #0,0 Current State: 30:[40, 26, 16], Operations: ['87-71=16'] Exploring Operation: 40-26=14, Resulting Numbers: [16, 14] Generated Node #0,0,1: 30:[16, 14] Operation: 40-26=14 Moving to Node #0,0,1 Current State: 30:[16, 14], Operations: ['87-71=16', '40-26=14'] Exploring Operation: 16+14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 54, 42, 21, 27 ]
25
[ "54-27=27", "42/21=2", "27-2=25" ]
Current State: 25:[54, 42, 21, 27], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [42, 21, 27] Generated Node #2: [42, 21, 27] from Operation: 54-27=27 Current State: 25:[42, 21, 27], Operations: ['54-27=27'] Exploring Operation: 42/21=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 42/21=2 Current State: 25:[27, 2], Operations: ['54-27=27', '42/21=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[54, 42, 21, 27], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [42, 21, 27] Generated Node #0,0: 25:[42, 21, 27] Operation: 54-27=27 Exploring Operation: 54-42=12, Resulting Numbers: [21, 27, 12] Generated Node #0,1: 25:[21, 27, 12] Operation: 54-42=12 Start Sub Search at level 1: Moving to Node #0,1 Current State: 25:[21, 27, 12], Operations: ['54-42=12'] Exploring Operation: 21-12=9, Resulting Numbers: [27, 9] Generated Node #0,1,0: 25:[27, 9] Operation: 21-12=9 Exploring Operation: 27-21=6, Resulting Numbers: [12, 6] Generated Node #0,1,1: 25:[12, 6] Operation: 27-21=6 Moving to Node #0,1,0 Current State: 25:[27, 9], Operations: ['54-42=12', '21-12=9'] Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,25 unequal: No Solution Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,25 unequal: No Solution Moving to Node #0,1,1 Current State: 25:[12, 6], Operations: ['54-42=12', '27-21=6'] Exploring Operation: 12/6=2, Resulting Numbers: [2] 2,25 unequal: No Solution Exploring Operation: 12-6=6, Resulting Numbers: [6] 6,25 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:[42, 21, 27], Operations: ['54-27=27'] Exploring Operation: 42/21=2, Resulting Numbers: [27, 2] Generated Node #0,0,0: 25:[27, 2] Operation: 42/21=2 Exploring Operation: 42-21=21, Resulting Numbers: [27, 21] Generated Node #0,0,1: 25:[27, 21] Operation: 42-21=21 Moving to Node #0,0,0 Current State: 25:[27, 2], Operations: ['54-27=27', '42/21=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,25 unequal: No Solution Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[54, 42, 21, 27], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [42, 21, 27] Generated Node #0,0: 25:[42, 21, 27] Operation: 54-27=27 Moving to Node #0,0 Current State: 25:[42, 21, 27], Operations: ['54-27=27'] Exploring Operation: 42/21=2, Resulting Numbers: [27, 2] Generated Node #0,0,0: 25:[27, 2] Operation: 42/21=2 Moving to Node #0,0,0 Current State: 25:[27, 2], Operations: ['54-27=27', '42/21=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_2
mult_heuristic
[ 20, 31, 47, 83 ]
33
[ "20*47=940", "83+940=1023", "1023/31=33" ]
Current State: 33:[20, 31, 47, 83], Operations: [] Exploring Operation: 20*47=940, Resulting Numbers: [31, 83, 940] Generated Node #2: [31, 83, 940] from Operation: 20*47=940 Current State: 33:[31, 83, 940], Operations: ['20*47=940'] Exploring Operation: 83+940=1023, Resulting Numbers: [31, 1023] Generated Node #3: [31, 1023] from Operation: 83+940=1023 Current State: 33:[31, 1023], Operations: ['20*47=940', '83+940=1023'] Exploring Operation: 1023/31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[20, 31, 47, 83], Operations: [] Exploring Operation: 83-47=36, Resulting Numbers: [20, 31, 36] Generated Node #0,0: 33:[20, 31, 36] Operation: 83-47=36 Exploring Operation: 83-31=52, Resulting Numbers: [20, 47, 52] Generated Node #0,1: 33:[20, 47, 52] Operation: 83-31=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[20, 31, 36], Operations: ['83-47=36'] Exploring Operation: 36-20=16, Resulting Numbers: [31, 16] Generated Node #0,0,0: 33:[31, 16] Operation: 36-20=16 Exploring Operation: 31-20=11, Resulting Numbers: [36, 11] Generated Node #0,0,1: 33:[36, 11] Operation: 31-20=11 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 33:[36, 11], Operations: ['83-47=36', '31-20=11'] Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,33 unequal: No Solution Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,33 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: 33:[31, 16], Operations: ['83-47=36', '36-20=16'] Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,33 unequal: No Solution Exploring Operation: 31+16=47, Resulting Numbers: [47] 47,33 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: 33:[20, 47, 52], Operations: ['83-31=52'] Exploring Operation: 52-47=5, Resulting Numbers: [20, 5] Generated Node #0,1,0: 33:[20, 5] Operation: 52-47=5 Exploring Operation: 52-20=32, Resulting Numbers: [47, 32] Generated Node #0,1,1: 33:[47, 32] Operation: 52-20=32 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 33:[20, 5], Operations: ['83-31=52', '52-47=5'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,33 unequal: No Solution Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,33 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: 33:[47, 32], Operations: ['83-31=52', '52-20=32'] Exploring Operation: 47+32=79, Resulting Numbers: [79] 79,33 unequal: No Solution Exploring Operation: 47-32=15, Resulting Numbers: [15] 15,33 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
[ 9, 92, 62, 60 ]
85
[ "92-9=83", "62-60=2", "83+2=85" ]
Current State: 85:[9, 92, 62, 60], Operations: [] Exploring Operation: 92-9=83, Resulting Numbers: [62, 60, 83] Generated Node #2: [62, 60, 83] from Operation: 92-9=83 Current State: 85:[62, 60, 83], Operations: ['92-9=83'] Exploring Operation: 62-60=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 62-60=2 Current State: 85:[83, 2], Operations: ['92-9=83', '62-60=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[9, 92, 62, 60], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [9, 60, 30] Generated Node #0,0: 85:[9, 60, 30] Operation: 92-62=30 Exploring Operation: 62-60=2, Resulting Numbers: [9, 92, 2] Generated Node #0,1: 85:[9, 92, 2] Operation: 62-60=2 Moving to Node #0,1 Current State: 85:[9, 92, 2], Operations: ['62-60=2'] Exploring Operation: 9*2=18, Resulting Numbers: [92, 18] Generated Node #0,1,0: 85:[92, 18] Operation: 9*2=18 Exploring Operation: 92-9=83, Resulting Numbers: [2, 83] Generated Node #0,1,1: 85:[2, 83] Operation: 92-9=83 Moving to Node #0,0 Current State: 85:[9, 60, 30], Operations: ['92-62=30'] Exploring Operation: 60+30=90, Resulting Numbers: [9, 90] Generated Node #0,0,0: 85:[9, 90] Operation: 60+30=90 Exploring Operation: 60/30=2, Resulting Numbers: [9, 2] Generated Node #0,0,1: 85:[9, 2] Operation: 60/30=2 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 85:[9, 2], Operations: ['92-62=30', '60/30=2'] Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,85 unequal: No Solution Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,85 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 #0,0,0 Current State: 85:[9, 90], Operations: ['92-62=30', '60+30=90'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,85 unequal: No Solution Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,85 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: 85:[2, 83], Operations: ['62-60=2', '92-9=83'] Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[9, 92, 62, 60], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [9, 92, 2] Generated Node #0,1: 85:[9, 92, 2] Operation: 62-60=2 Moving to Node #0,1 Current State: 85:[9, 92, 2], Operations: ['62-60=2'] Exploring Operation: 92-9=83, Resulting Numbers: [2, 83] Generated Node #0,1,1: 85:[2, 83] Operation: 92-9=83 Moving to Node #0,1,1 Current State: 85:[2, 83], Operations: ['62-60=2', '92-9=83'] Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
0.986979
hs_2
sum_heuristic
[ 64, 24, 44, 8 ]
47
[ "64+8=72", "72/24=3", "44+3=47" ]
Current State: 47:[64, 24, 44, 8], Operations: [] Exploring Operation: 64+8=72, Resulting Numbers: [24, 44, 72] Generated Node #2: [24, 44, 72] from Operation: 64+8=72 Current State: 47:[24, 44, 72], Operations: ['64+8=72'] Exploring Operation: 72/24=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 72/24=3 Current State: 47:[44, 3], Operations: ['64+8=72', '72/24=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[64, 24, 44, 8], Operations: [] Exploring Operation: 24+8=32, Resulting Numbers: [64, 44, 32] Generated Node #0,0: 47:[64, 44, 32] Operation: 24+8=32 Exploring Operation: 64-8=56, Resulting Numbers: [24, 44, 56] Generated Node #0,1: 47:[24, 44, 56] Operation: 64-8=56 Moving to Node #0,0 Current State: 47:[64, 44, 32], Operations: ['24+8=32'] Exploring Operation: 64-32=32, Resulting Numbers: [44, 32] Generated Node #0,0,0: 47:[44, 32] Operation: 64-32=32 Exploring Operation: 64-44=20, Resulting Numbers: [32, 20] Generated Node #0,0,1: 47:[32, 20] Operation: 64-44=20 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 47:[44, 32], Operations: ['24+8=32', '64-32=32'] Exploring Operation: 44+32=76, Resulting Numbers: [76] 76,47 unequal: No Solution Exploring Operation: 44-32=12, Resulting Numbers: [12] 12,47 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 #0,0,1 Current State: 47:[32, 20], Operations: ['24+8=32', '64-44=20'] Exploring Operation: 32-20=12, Resulting Numbers: [12] 12,47 unequal: No Solution Exploring Operation: 32+20=52, Resulting Numbers: [52] 52,47 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: 47:[24, 44, 56], Operations: ['64-8=56'] Exploring Operation: 24+44=68, Resulting Numbers: [56, 68] Generated Node #0,1,0: 47:[56, 68] Operation: 24+44=68 Exploring Operation: 56-24=32, Resulting Numbers: [44, 32] Generated Node #0,1,1: 47:[44, 32] Operation: 56-24=32 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 47:[44, 32], Operations: ['64-8=56', '56-24=32'] Exploring Operation: 44+32=76, Resulting Numbers: [76] 76,47 unequal: No Solution Exploring Operation: 44-32=12, Resulting Numbers: [12] 12,47 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 #0,1,0 Current State: 47:[56, 68], Operations: ['64-8=56', '24+44=68'] Exploring Operation: 56+68=124, Resulting Numbers: [124] 124,47 unequal: No Solution Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 16, 29, 10, 52 ]
12
[ "29+10=39", "16*39=624", "624/52=12" ]
Current State: 12:[16, 29, 10, 52], Operations: [] Exploring Operation: 29+10=39, Resulting Numbers: [16, 52, 39] Generated Node #2: [16, 52, 39] from Operation: 29+10=39 Current State: 12:[16, 52, 39], Operations: ['29+10=39'] Exploring Operation: 16*39=624, Resulting Numbers: [52, 624] Generated Node #3: [52, 624] from Operation: 16*39=624 Current State: 12:[52, 624], Operations: ['29+10=39', '16*39=624'] Exploring Operation: 624/52=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[16, 29, 10, 52], Operations: [] Exploring Operation: 52-29=23, Resulting Numbers: [16, 10, 23] Generated Node #0,0: 12:[16, 10, 23] Operation: 52-29=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[16, 10, 23], Operations: ['52-29=23'] Exploring Operation: 23-16=7, Resulting Numbers: [10, 7] Generated Node #0,0,0: 12:[10, 7] Operation: 23-16=7 Moving to Node #0,0,0 Current State: 12:[10, 7], Operations: ['52-29=23', '23-16=7'] Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,12 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
[ 89, 9, 72, 73 ]
54
[ "89+73=162", "162/9=18", "72-18=54" ]
Current State: 54:[89, 9, 72, 73], Operations: [] Exploring Operation: 89+73=162, Resulting Numbers: [9, 72, 162] Generated Node #2: [9, 72, 162] from Operation: 89+73=162 Current State: 54:[9, 72, 162], Operations: ['89+73=162'] Exploring Operation: 162/9=18, Resulting Numbers: [72, 18] Generated Node #3: [72, 18] from Operation: 162/9=18 Current State: 54:[72, 18], Operations: ['89+73=162', '162/9=18'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[89, 9, 72, 73], Operations: [] Exploring Operation: 73-72=1, Resulting Numbers: [89, 9, 1] Generated Node #0,0: 54:[89, 9, 1] Operation: 73-72=1 Exploring Operation: 89-73=16, Resulting Numbers: [9, 72, 16] Generated Node #0,1: 54:[9, 72, 16] Operation: 89-73=16 Exploring Operation: 89-9=80, Resulting Numbers: [72, 73, 80] Generated Node #0,2: 54:[72, 73, 80] Operation: 89-9=80 Exploring Operation: 72/9=8, Resulting Numbers: [89, 73, 8] Generated Node #0,3: 54:[89, 73, 8] Operation: 72/9=8 Exploring Operation: 89-72=17, Resulting Numbers: [9, 73, 17] Generated Node #0,4: 54:[9, 73, 17] Operation: 89-72=17 Start Sub Search at level 1: Moving to Node #0,1 Current State: 54:[9, 72, 16], Operations: ['89-73=16'] Exploring Operation: 16-9=7, Resulting Numbers: [72, 7] Generated Node #0,1,0: 54:[72, 7] Operation: 16-9=7 Exploring Operation: 9+16=25, Resulting Numbers: [72, 25] Generated Node #0,1,1: 54:[72, 25] Operation: 9+16=25 Exploring Operation: 72/9=8, Resulting Numbers: [16, 8] Generated Node #0,1,2: 54:[16, 8] Operation: 72/9=8 Exploring Operation: 72-9=63, Resulting Numbers: [16, 63] Generated Node #0,1,3: 54:[16, 63] Operation: 72-9=63 Exploring Operation: 72-16=56, Resulting Numbers: [9, 56] Generated Node #0,1,4: 54:[9, 56] Operation: 72-16=56 Moving to Node #0,1,4 Current State: 54:[9, 56], Operations: ['89-73=16', '72-16=56'] Exploring Operation: 56-9=47, Resulting Numbers: [47] 47,54 unequal: No Solution Exploring Operation: 9+56=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 9*56=504, Resulting Numbers: [504] 504,54 unequal: No Solution Moving to Node #0,1,2 Current State: 54:[16, 8], Operations: ['89-73=16', '72/9=8'] Exploring Operation: 16/8=2, Resulting Numbers: [2] 2,54 unequal: No Solution Exploring Operation: 16-8=8, Resulting Numbers: [8] 8,54 unequal: No Solution Exploring Operation: 16*8=128, Resulting Numbers: [128] 128,54 unequal: No Solution Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,54 unequal: No Solution Moving to Node #0,1,3 Current State: 54:[16, 63], Operations: ['89-73=16', '72-9=63'] Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,54 unequal: No Solution Exploring Operation: 16*63=1008, Resulting Numbers: [1008] 1008,54 unequal: No Solution Exploring Operation: 16+63=79, Resulting Numbers: [79] 79,54 unequal: No Solution Moving to Node #0,1,0 Current State: 54:[72, 7], Operations: ['89-73=16', '16-9=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,54 unequal: No Solution Exploring Operation: 72*7=504, Resulting Numbers: [504] 504,54 unequal: No Solution Moving to Node #0,1,1 Current State: 54:[72, 25], Operations: ['89-73=16', '9+16=25'] Exploring Operation: 72+25=97, Resulting Numbers: [97] 97,54 unequal: No Solution Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,54 unequal: No Solution Exploring Operation: 72*25=1800, Resulting Numbers: [1800] 1800,54 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 #0,4 Current State: 54:[9, 73, 17], Operations: ['89-72=17'] Exploring Operation: 9+17=26, Resulting Numbers: [73, 26] Generated Node #0,4,0: 54:[73, 26] Operation: 9+17=26 Exploring Operation: 17-9=8, Resulting Numbers: [73, 8] Generated Node #0,4,1: 54:[73, 8] Operation: 17-9=8 Exploring Operation: 73-17=56, Resulting Numbers: [9, 56] Generated Node #0,4,2: 54:[9, 56] Operation: 73-17=56 Exploring Operation: 9+73=82, Resulting Numbers: [17, 82] Generated Node #0,4,3: 54:[17, 82] Operation: 9+73=82 Exploring Operation: 73-9=64, Resulting Numbers: [17, 64] Generated Node #0,4,4: 54:[17, 64] Operation: 73-9=64 Moving to Node #0,4,2 Current State: 54:[9, 56], Operations: ['89-72=17', '73-17=56'] Exploring Operation: 9+56=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 56-9=47, Resulting Numbers: [47] 47,54 unequal: No Solution Exploring Operation: 9*56=504, Resulting Numbers: [504] 504,54 unequal: No Solution Moving to Node #0,4,4 Current State: 54:[17, 64], Operations: ['89-72=17', '73-9=64'] Exploring Operation: 64-17=47, Resulting Numbers: [47] 47,54 unequal: No Solution Exploring Operation: 17+64=81, Resulting Numbers: [81] 81,54 unequal: No Solution Exploring Operation: 17*64=1088, Resulting Numbers: [1088] 1088,54 unequal: No Solution Moving to Node #0,4,0 Current State: 54:[73, 26], Operations: ['89-72=17', '9+17=26'] Exploring Operation: 73+26=99, Resulting Numbers: [99] 99,54 unequal: No Solution Exploring Operation: 73*26=1898, Resulting Numbers: [1898] 1898,54 unequal: No Solution Exploring Operation: 73-26=47, Resulting Numbers: [47] 47,54 unequal: No Solution Moving to Node #0,4,1 Current State: 54:[73, 8], Operations: ['89-72=17', '17-9=8'] Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 73*8=584, Resulting Numbers: [584] 584,54 unequal: No Solution Exploring Operation: 73+8=81, Resulting Numbers: [81] 81,54 unequal: No Solution Moving to Node #0,4,3 Current State: 54:[17, 82], Operations: ['89-72=17', '9+73=82'] Exploring Operation: 82-17=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 17+82=99, Resulting Numbers: [99] 99,54 unequal: No Solution Exploring Operation: 17*82=1394, Resulting Numbers: [1394] 1394,54 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 #0,0 Current State: 54:[89, 9, 1], Operations: ['73-72=1'] Exploring Operation: 89*1=89, Resulting Numbers: [9, 89] Generated Node #0,0,0: 54:[9, 89] Operation: 89*1=89 Exploring Operation: 9*1=9, Resulting Numbers: [89, 9] Generated Node #0,0,1: 54:[89, 9] Operation: 9*1=9 Exploring Operation: 89-1=88, Resulting Numbers: [9, 88] Generated Node #0,0,2: 54:[9, 88] Operation: 89-1=88 Exploring Operation: 89-9=80, Resulting Numbers: [1, 80] Generated Node #0,0,3: 54:[1, 80] Operation: 89-9=80 Exploring Operation: 89/1=89, Resulting Numbers: [9, 89] Generated Node #0,0,4: 54:[9, 89] Operation: 89/1=89 Moving to Node #0,0,3 Current State: 54:[1, 80], Operations: ['73-72=1', '89-9=80'] Exploring Operation: 80/1=80, Resulting Numbers: [80] 80,54 unequal: No Solution Exploring Operation: 1+80=81, Resulting Numbers: [81] 81,54 unequal: No Solution Exploring Operation: 1*80=80, Resulting Numbers: [80] 80,54 unequal: No Solution Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,54 unequal: No Solution Moving to Node #0,0,2 Current State: 54:[9, 88], Operations: ['73-72=1', '89-1=88'] Exploring Operation: 9*88=792, Resulting Numbers: [792] 792,54 unequal: No Solution Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,54 unequal: No Solution Exploring Operation: 9+88=97, Resulting Numbers: [97] 97,54 unequal: No Solution Moving to Node #0,0,0 Current State: 54:[9, 89], Operations: ['73-72=1', '89*1=89'] Exploring Operation: 89-9=80, Resulting Numbers: [80] 80,54 unequal: No Solution Exploring Operation: 9*89=801, Resulting Numbers: [801] 801,54 unequal: No Solution Exploring Operation: 9+89=98, Resulting Numbers: [98] 98,54 unequal: No Solution Moving to Node #0,0,1 Current State: 54:[89, 9], Operations: ['73-72=1', '9*1=9'] Exploring Operation: 89*9=801, Resulting Numbers: [801] 801,54 unequal: No Solution Exploring Operation: 89-9=80, Resulting Numbers: [80] 80,54 unequal: No Solution Exploring Operation: 89+9=98, Resulting Numbers: [98] 98,54 unequal: No Solution Moving to Node #0,0,4 Current State: 54:[9, 89], Operations: ['73-72=1', '89/1=89'] Exploring Operation: 89-9=80, Resulting Numbers: [80] 80,54 unequal: No Solution Exploring Operation: 9+89=98, Resulting Numbers: [98] 98,54 unequal: No Solution Exploring Operation: 9*89=801, Resulting Numbers: [801] 801,54 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 #0,3 Current State: 54:[89, 73, 8], Operations: ['72/9=8'] Exploring Operation: 89-73=16, Resulting Numbers: [8, 16] Generated Node #0,3,0: 54:[8, 16] Operation: 89-73=16 Exploring Operation: 73-8=65, Resulting Numbers: [89, 65] Generated Node #0,3,1: 54:[89, 65] Operation: 73-8=65 Exploring Operation: 89-8=81, Resulting Numbers: [73, 81] Generated Node #0,3,2: 54:[73, 81] Operation: 89-8=81 Exploring Operation: 73+8=81, Resulting Numbers: [89, 81] Generated Node #0,3,3: 54:[89, 81] Operation: 73+8=81 Exploring Operation: 89+8=97, Resulting Numbers: [73, 97] Generated Node #0,3,4: 54:[73, 97] Operation: 89+8=97 Moving to Node #0,3,0 Current State: 54:[8, 16], Operations: ['72/9=8', '89-73=16'] Exploring Operation: 16/8=2, Resulting Numbers: [2] 2,54 unequal: No Solution Exploring Operation: 8+16=24, Resulting Numbers: [24] 24,54 unequal: No Solution Exploring Operation: 16-8=8, Resulting Numbers: [8] 8,54 unequal: No Solution Exploring Operation: 8*16=128, Resulting Numbers: [128] 128,54 unequal: No Solution Moving to Node #0,3,2 Current State: 54:[73, 81], Operations: ['72/9=8', '89-8=81'] Exploring Operation: 81-73=8, Resulting Numbers: [8] 8,54 unequal: No Solution Exploring Operation: 73+81=154, Resulting Numbers: [154] 154,54 unequal: No Solution Exploring Operation: 73*81=5913, Resulting Numbers: [5913] 5913,54 unequal: No Solution Moving to Node #0,3,1 Current State: 54:[89, 65], Operations: ['72/9=8', '73-8=65'] Exploring Operation: 89+65=154, Resulting Numbers: [154] 154,54 unequal: No Solution Exploring Operation: 89*65=5785, Resulting Numbers: [5785] 5785,54 unequal: No Solution Exploring Operation: 89-65=24, Resulting Numbers: [24] 24,54 unequal: No Solution Moving to Node #0,3,3 Current State: 54:[89, 81], Operations: ['72/9=8', '73+8=81'] Exploring Operation: 89+81=170, Resulting Numbers: [170] 170,54 unequal: No Solution Exploring Operation: 89-81=8, Resulting Numbers: [8] 8,54 unequal: No Solution Exploring Operation: 89*81=7209, Resulting Numbers: [7209] 7209,54 unequal: No Solution Moving to Node #0,3,4 Current State: 54:[73, 97], Operations: ['72/9=8', '89+8=97'] Exploring Operation: 97-73=24, Resulting Numbers: [24] 24,54 unequal: No Solution Exploring Operation: 73*97=7081, Resulting Numbers: [7081] 7081,54 unequal: No Solution Exploring Operation: 73+97=170, Resulting Numbers: [170] 170,54 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 #0,2 Current State: 54:[72, 73, 80], Operations: ['89-9=80'] Exploring Operation: 80-72=8, Resulting Numbers: [73, 8] Generated Node #0,2,0: 54:[73, 8] Operation: 80-72=8 Exploring Operation: 72+73=145, Resulting Numbers: [80, 145] Generated Node #0,2,1: 54:[80, 145] Operation: 72+73=145 Exploring Operation: 73-72=1, Resulting Numbers: [80, 1] Generated Node #0,2,2: 54:[80, 1] Operation: 73-72=1 Exploring Operation: 80-73=7, Resulting Numbers: [72, 7] Generated Node #0,2,3: 54:[72, 7] Operation: 80-73=7 Exploring Operation: 72+80=152, Resulting Numbers: [73, 152] Generated Node #0,2,4: 54:[73, 152] Operation: 72+80=152 Moving to Node #0,2,3 Current State: 54:[72, 7], Operations: ['89-9=80', '80-73=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,54 unequal: No Solution Exploring Operation: 72*7=504, Resulting Numbers: [504] 504,54 unequal: No Solution Moving to Node #0,2,0 Current State: 54:[73, 8], Operations: ['89-9=80', '80-72=8'] Exploring Operation: 73*8=584, Resulting Numbers: [584] 584,54 unequal: No Solution Exploring Operation: 73+8=81, Resulting Numbers: [81] 81,54 unequal: No Solution Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,54 unequal: No Solution Moving to Node #0,2,2 Current State: 54:[80, 1], Operations: ['89-9=80', '73-72=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,54 unequal: No Solution Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,54 unequal: No Solution Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,54 unequal: No Solution Exploring Operation: 80/1=80, Resulting Numbers: [80] 80,54 unequal: No Solution Moving to Node #0,2,1 Current State: 54:[80, 145], Operations: ['89-9=80', '72+73=145'] Exploring Operation: 145-80=65, Resulting Numbers: [65] 65,54 unequal: No Solution Exploring Operation: 80+145=225, Resulting Numbers: [225] 225,54 unequal: No Solution Exploring Operation: 80*145=11600, Resulting Numbers: [11600] 11600,54 unequal: No Solution Moving to Node #0,2,4 Current State: 54:[73, 152], Operations: ['89-9=80', '72+80=152'] Exploring Operation: 73+152=225, Resulting Numbers: [225] 225,54 unequal: No Solution Exploring Operation: 73*152=11096, Resulting Numbers: [11096] 11096,54 unequal: No Solution Exploring Operation: 152-73=79, Resulting Numbers: [79] 79,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 56, 8, 54, 18 ]
80
[ "8*54=432", "432/18=24", "56+24=80" ]
Current State: 80:[56, 8, 54, 18], Operations: [] Exploring Operation: 8*54=432, Resulting Numbers: [56, 18, 432] Generated Node #2: [56, 18, 432] from Operation: 8*54=432 Current State: 80:[56, 18, 432], Operations: ['8*54=432'] Exploring Operation: 432/18=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 432/18=24 Current State: 80:[56, 24], Operations: ['8*54=432', '432/18=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[56, 8, 54, 18], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [56, 8, 3] Generated Node #0,0: 80:[56, 8, 3] Operation: 54/18=3 Exploring Operation: 56-54=2, Resulting Numbers: [8, 18, 2] Generated Node #0,1: 80:[8, 18, 2] Operation: 56-54=2 Exploring Operation: 56/8=7, Resulting Numbers: [54, 18, 7] Generated Node #0,2: 80:[54, 18, 7] Operation: 56/8=7 Exploring Operation: 56+18=74, Resulting Numbers: [8, 54, 74] Generated Node #0,3: 80:[8, 54, 74] Operation: 56+18=74 Exploring Operation: 56-18=38, Resulting Numbers: [8, 54, 38] Generated Node #0,4: 80:[8, 54, 38] Operation: 56-18=38 Moving to Node #0,1 Current State: 80:[8, 18, 2], Operations: ['56-54=2'] Exploring Operation: 18/2=9, Resulting Numbers: [8, 9] Generated Node #0,1,0: 80:[8, 9] Operation: 18/2=9 Exploring Operation: 8+2=10, Resulting Numbers: [18, 10] Generated Node #0,1,1: 80:[18, 10] Operation: 8+2=10 Exploring Operation: 18-8=10, Resulting Numbers: [2, 10] Generated Node #0,1,2: 80:[2, 10] Operation: 18-8=10 Exploring Operation: 18+2=20, Resulting Numbers: [8, 20] Generated Node #0,1,3: 80:[8, 20] Operation: 18+2=20 Exploring Operation: 18-2=16, Resulting Numbers: [8, 16] Generated Node #0,1,4: 80:[8, 16] Operation: 18-2=16 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 80:[2, 10], Operations: ['56-54=2', '18-8=10'] Exploring Operation: 2+10=12, Resulting Numbers: [12] 12,80 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,80 unequal: No Solution Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,80 unequal: No Solution No 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: 80:[8, 20], Operations: ['56-54=2', '18+2=20'] Exploring Operation: 8*20=160, Resulting Numbers: [160] 160,80 unequal: No Solution Exploring Operation: 8+20=28, Resulting Numbers: [28] 28,80 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,80 unequal: No Solution No 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: 80:[8, 16], Operations: ['56-54=2', '18-2=16'] Exploring Operation: 16-8=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 8*16=128, Resulting Numbers: [128] 128,80 unequal: No Solution Exploring Operation: 8+16=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 16/8=2, Resulting Numbers: [2] 2,80 unequal: No Solution No 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: 80:[8, 9], Operations: ['56-54=2', '18/2=9'] Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,80 unequal: No Solution Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,80 unequal: No Solution No 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: 80:[18, 10], Operations: ['56-54=2', '8+2=10'] Exploring Operation: 18*10=180, Resulting Numbers: [180] 180,80 unequal: No Solution Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,80 unequal: No Solution Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,80 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: 80:[8, 54, 38], Operations: ['56-18=38'] Exploring Operation: 8+54=62, Resulting Numbers: [38, 62] Generated Node #0,4,0: 80:[38, 62] Operation: 8+54=62 Exploring Operation: 54-38=16, Resulting Numbers: [8, 16] Generated Node #0,4,1: 80:[8, 16] Operation: 54-38=16 Exploring Operation: 54+38=92, Resulting Numbers: [8, 92] Generated Node #0,4,2: 80:[8, 92] Operation: 54+38=92 Exploring Operation: 8+38=46, Resulting Numbers: [54, 46] Generated Node #0,4,3: 80:[54, 46] Operation: 8+38=46 Exploring Operation: 54-8=46, Resulting Numbers: [38, 46] Generated Node #0,4,4: 80:[38, 46] Operation: 54-8=46 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 80:[8, 16], Operations: ['56-18=38', '54-38=16'] Exploring Operation: 16/8=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 8*16=128, Resulting Numbers: [128] 128,80 unequal: No Solution Exploring Operation: 16-8=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 8+16=24, Resulting Numbers: [24] 24,80 unequal: No Solution No 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: 80:[38, 46], Operations: ['56-18=38', '54-8=46'] Exploring Operation: 38*46=1748, Resulting Numbers: [1748] 1748,80 unequal: No Solution Exploring Operation: 46-38=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 38+46=84, Resulting Numbers: [84] 84,80 unequal: No Solution No 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: 80:[8, 92], Operations: ['56-18=38', '54+38=92'] Exploring Operation: 8+92=100, Resulting Numbers: [100] 100,80 unequal: No Solution Exploring Operation: 92-8=84, Resulting Numbers: [84] 84,80 unequal: No Solution Exploring Operation: 8*92=736, Resulting Numbers: [736] 736,80 unequal: No Solution No 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: 80:[38, 62], Operations: ['56-18=38', '8+54=62'] Exploring Operation: 38+62=100, Resulting Numbers: [100] 100,80 unequal: No Solution Exploring Operation: 62-38=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 38*62=2356, Resulting Numbers: [2356] 2356,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 80:[54, 46], Operations: ['56-18=38', '8+38=46'] Exploring Operation: 54*46=2484, Resulting Numbers: [2484] 2484,80 unequal: No Solution Exploring Operation: 54+46=100, Resulting Numbers: [100] 100,80 unequal: No Solution Exploring Operation: 54-46=8, Resulting Numbers: [8] 8,80 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: 80:[56, 8, 3], Operations: ['54/18=3'] Exploring Operation: 56/8=7, Resulting Numbers: [3, 7] Generated Node #0,0,0: 80:[3, 7] Operation: 56/8=7 Exploring Operation: 8-3=5, Resulting Numbers: [56, 5] Generated Node #0,0,1: 80:[56, 5] Operation: 8-3=5 Exploring Operation: 56-8=48, Resulting Numbers: [3, 48] Generated Node #0,0,2: 80:[3, 48] Operation: 56-8=48 Exploring Operation: 56-3=53, Resulting Numbers: [8, 53] Generated Node #0,0,3: 80:[8, 53] Operation: 56-3=53 Exploring Operation: 56+8=64, Resulting Numbers: [3, 64] Generated Node #0,0,4: 80:[3, 64] Operation: 56+8=64 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 80:[3, 7], Operations: ['54/18=3', '56/8=7'] Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,80 unequal: No Solution Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,80 unequal: No Solution Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,80 unequal: No Solution No 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: 80:[3, 48], Operations: ['54/18=3', '56-8=48'] Exploring Operation: 3*48=144, Resulting Numbers: [144] 144,80 unequal: No Solution Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,80 unequal: No Solution Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,80 unequal: No Solution Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,80 unequal: No Solution No 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: 80:[8, 53], Operations: ['54/18=3', '56-3=53'] Exploring Operation: 8*53=424, Resulting Numbers: [424] 424,80 unequal: No Solution Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,80 unequal: No Solution No 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: 80:[56, 5], Operations: ['54/18=3', '8-3=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 56*5=280, Resulting Numbers: [280] 280,80 unequal: No Solution Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,80 unequal: No Solution No 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: 80:[3, 64], Operations: ['54/18=3', '56+8=64'] Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,80 unequal: No Solution Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 3*64=192, Resulting Numbers: [192] 192,80 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: 80:[54, 18, 7], Operations: ['56/8=7'] Exploring Operation: 54+18=72, Resulting Numbers: [7, 72] Generated Node #0,2,0: 80:[7, 72] Operation: 54+18=72 Exploring Operation: 18-7=11, Resulting Numbers: [54, 11] Generated Node #0,2,1: 80:[54, 11] Operation: 18-7=11 Exploring Operation: 54/18=3, Resulting Numbers: [7, 3] Generated Node #0,2,2: 80:[7, 3] Operation: 54/18=3 Exploring Operation: 54-7=47, Resulting Numbers: [18, 47] Generated Node #0,2,3: 80:[18, 47] Operation: 54-7=47 Exploring Operation: 54-18=36, Resulting Numbers: [7, 36] Generated Node #0,2,4: 80:[7, 36] Operation: 54-18=36 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 80:[7, 3], Operations: ['56/8=7', '54/18=3'] Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,80 unequal: No Solution Exploring Operation: 7+3=10, Resulting Numbers: [10] 10,80 unequal: No Solution Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,80 unequal: No Solution No 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: 80:[7, 36], Operations: ['56/8=7', '54-18=36'] Exploring Operation: 7*36=252, Resulting Numbers: [252] 252,80 unequal: No Solution Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,80 unequal: No Solution Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,80 unequal: No Solution No 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: 80:[7, 72], Operations: ['56/8=7', '54+18=72'] Exploring Operation: 7*72=504, Resulting Numbers: [504] 504,80 unequal: No Solution Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,80 unequal: No Solution Exploring Operation: 7+72=79, Resulting Numbers: [79] 79,80 unequal: No Solution No 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: 80:[18, 47], Operations: ['56/8=7', '54-7=47'] Exploring Operation: 18+47=65, Resulting Numbers: [65] 65,80 unequal: No Solution Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,80 unequal: No Solution Exploring Operation: 18*47=846, Resulting Numbers: [846] 846,80 unequal: No Solution No 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: 80:[54, 11], Operations: ['56/8=7', '18-7=11'] Exploring Operation: 54*11=594, Resulting Numbers: [594] 594,80 unequal: No Solution Exploring Operation: 54+11=65, Resulting Numbers: [65] 65,80 unequal: No Solution Exploring Operation: 54-11=43, Resulting Numbers: [43] 43,80 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: 80:[8, 54, 74], Operations: ['56+18=74'] Exploring Operation: 74-54=20, Resulting Numbers: [8, 20] Generated Node #0,3,0: 80:[8, 20] Operation: 74-54=20 Exploring Operation: 8+74=82, Resulting Numbers: [54, 82] Generated Node #0,3,1: 80:[54, 82] Operation: 8+74=82 Exploring Operation: 8+54=62, Resulting Numbers: [74, 62] Generated Node #0,3,2: 80:[74, 62] Operation: 8+54=62 Exploring Operation: 54-8=46, Resulting Numbers: [74, 46] Generated Node #0,3,3: 80:[74, 46] Operation: 54-8=46 Exploring Operation: 74-8=66, Resulting Numbers: [54, 66] Generated Node #0,3,4: 80:[54, 66] Operation: 74-8=66 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 80:[8, 20], Operations: ['56+18=74', '74-54=20'] Exploring Operation: 8+20=28, Resulting Numbers: [28] 28,80 unequal: No Solution Exploring Operation: 8*20=160, Resulting Numbers: [160] 160,80 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,80 unequal: No Solution No 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: 80:[74, 46], Operations: ['56+18=74', '54-8=46'] Exploring Operation: 74*46=3404, Resulting Numbers: [3404] 3404,80 unequal: No Solution Exploring Operation: 74-46=28, Resulting Numbers: [28] 28,80 unequal: No Solution Exploring Operation: 74+46=120, Resulting Numbers: [120] 120,80 unequal: No Solution No 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: 80:[54, 82], Operations: ['56+18=74', '8+74=82'] Exploring Operation: 82-54=28, Resulting Numbers: [28] 28,80 unequal: No Solution Exploring Operation: 54*82=4428, Resulting Numbers: [4428] 4428,80 unequal: No Solution Exploring Operation: 54+82=136, Resulting Numbers: [136] 136,80 unequal: No Solution No 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: 80:[74, 62], Operations: ['56+18=74', '8+54=62'] Exploring Operation: 74-62=12, Resulting Numbers: [12] 12,80 unequal: No Solution Exploring Operation: 74+62=136, Resulting Numbers: [136] 136,80 unequal: No Solution Exploring Operation: 74*62=4588, Resulting Numbers: [4588] 4588,80 unequal: No Solution No 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: 80:[54, 66], Operations: ['56+18=74', '74-8=66'] Exploring Operation: 54*66=3564, Resulting Numbers: [3564] 3564,80 unequal: No Solution Exploring Operation: 66-54=12, Resulting Numbers: [12] 12,80 unequal: No Solution Exploring Operation: 54+66=120, Resulting Numbers: [120] 120,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 25, 30, 55, 40 ]
53
[ "40-25=15", "30/15=2", "55-2=53" ]
Current State: 53:[25, 30, 55, 40], Operations: [] Exploring Operation: 40-25=15, Resulting Numbers: [30, 55, 15] Generated Node #2: [30, 55, 15] from Operation: 40-25=15 Current State: 53:[30, 55, 15], Operations: ['40-25=15'] Exploring Operation: 30/15=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 30/15=2 Current State: 53:[55, 2], Operations: ['40-25=15', '30/15=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[25, 30, 55, 40], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [55, 40, 5] Generated Node #0,0: 53:[55, 40, 5] Operation: 30-25=5 Exploring Operation: 25+40=65, Resulting Numbers: [30, 55, 65] Generated Node #0,1: 53:[30, 55, 65] Operation: 25+40=65 Exploring Operation: 25+30=55, Resulting Numbers: [55, 40, 55] Generated Node #0,2: 53:[55, 40, 55] Operation: 25+30=55 Exploring Operation: 30+40=70, Resulting Numbers: [25, 55, 70] Generated Node #0,3: 53:[25, 55, 70] Operation: 30+40=70 Exploring Operation: 55-25=30, Resulting Numbers: [30, 40, 30] Generated Node #0,4: 53:[30, 40, 30] Operation: 55-25=30 Moving to Node #0,2 Current State: 53:[55, 40, 55], Operations: ['25+30=55'] Exploring Operation: 55+40=95, Resulting Numbers: [55, 95] Generated Node #0,2,0: 53:[55, 95] Operation: 55+40=95 Exploring Operation: 55-40=15, Resulting Numbers: [55, 15] Generated Node #0,2,1: 53:[55, 15] Operation: 55-40=15 Exploring Operation: 40+55=95, Resulting Numbers: [55, 95] Generated Node #0,2,2: 53:[55, 95] Operation: 40+55=95 Exploring Operation: 55-40=15, Resulting Numbers: [55, 15] Generated Node #0,2,3: 53:[55, 15] Operation: 55-40=15 Exploring Operation: 55/55=1, Resulting Numbers: [40, 1] Generated Node #0,2,4: 53:[40, 1] Operation: 55/55=1 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 53:[55, 15], Operations: ['25+30=55', '55-40=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,53 unequal: No Solution Exploring Operation: 55*15=825, Resulting Numbers: [825] 825,53 unequal: No Solution Exploring Operation: 55-15=40, Resulting Numbers: [40] 40,53 unequal: No Solution No 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: 53:[55, 15], Operations: ['25+30=55', '55-40=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,53 unequal: No Solution Exploring Operation: 55-15=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 55*15=825, Resulting Numbers: [825] 825,53 unequal: No Solution No 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: 53:[55, 95], Operations: ['25+30=55', '55+40=95'] Exploring Operation: 55+95=150, Resulting Numbers: [150] 150,53 unequal: No Solution Exploring Operation: 55*95=5225, Resulting Numbers: [5225] 5225,53 unequal: No Solution Exploring Operation: 95-55=40, Resulting Numbers: [40] 40,53 unequal: No Solution No 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: 53:[55, 95], Operations: ['25+30=55', '40+55=95'] Exploring Operation: 55+95=150, Resulting Numbers: [150] 150,53 unequal: No Solution Exploring Operation: 55*95=5225, Resulting Numbers: [5225] 5225,53 unequal: No Solution Exploring Operation: 95-55=40, Resulting Numbers: [40] 40,53 unequal: No Solution No 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: 53:[40, 1], Operations: ['25+30=55', '55/55=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,53 unequal: No Solution Exploring Operation: 40/1=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,53 unequal: No Solution Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,53 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: 53:[30, 55, 65], Operations: ['25+40=65'] Exploring Operation: 55-30=25, Resulting Numbers: [65, 25] Generated Node #0,1,0: 53:[65, 25] Operation: 55-30=25 Exploring Operation: 30+65=95, Resulting Numbers: [55, 95] Generated Node #0,1,1: 53:[55, 95] Operation: 30+65=95 Exploring Operation: 65-30=35, Resulting Numbers: [55, 35] Generated Node #0,1,2: 53:[55, 35] Operation: 65-30=35 Exploring Operation: 65-55=10, Resulting Numbers: [30, 10] Generated Node #0,1,3: 53:[30, 10] Operation: 65-55=10 Exploring Operation: 30+55=85, Resulting Numbers: [65, 85] Generated Node #0,1,4: 53:[65, 85] Operation: 30+55=85 Moving to Node #0,3 Current State: 53:[25, 55, 70], Operations: ['30+40=70'] Exploring Operation: 55-25=30, Resulting Numbers: [70, 30] Generated Node #0,3,0: 53:[70, 30] Operation: 55-25=30 Exploring Operation: 25+55=80, Resulting Numbers: [70, 80] Generated Node #0,3,1: 53:[70, 80] Operation: 25+55=80 Exploring Operation: 70-25=45, Resulting Numbers: [55, 45] Generated Node #0,3,2: 53:[55, 45] Operation: 70-25=45 Exploring Operation: 70-55=15, Resulting Numbers: [25, 15] Generated Node #0,3,3: 53:[25, 15] Operation: 70-55=15 Exploring Operation: 25+70=95, Resulting Numbers: [55, 95] Generated Node #0,3,4: 53:[55, 95] Operation: 25+70=95 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 53:[55, 45], Operations: ['30+40=70', '70-25=45'] Exploring Operation: 55+45=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 55*45=2475, Resulting Numbers: [2475] 2475,53 unequal: No Solution Exploring Operation: 55-45=10, Resulting Numbers: [10] 10,53 unequal: No Solution No 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: 53:[70, 30], Operations: ['30+40=70', '55-25=30'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 70+30=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 70*30=2100, Resulting Numbers: [2100] 2100,53 unequal: No Solution No 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: 53:[70, 80], Operations: ['30+40=70', '25+55=80'] Exploring Operation: 70*80=5600, Resulting Numbers: [5600] 5600,53 unequal: No Solution Exploring Operation: 80-70=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 70+80=150, Resulting Numbers: [150] 150,53 unequal: No Solution No 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: 53:[55, 95], Operations: ['30+40=70', '25+70=95'] Exploring Operation: 95-55=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 55+95=150, Resulting Numbers: [150] 150,53 unequal: No Solution Exploring Operation: 55*95=5225, Resulting Numbers: [5225] 5225,53 unequal: No Solution No 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: 53:[25, 15], Operations: ['30+40=70', '70-55=15'] Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 25*15=375, Resulting Numbers: [375] 375,53 unequal: No Solution Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,53 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: 53:[30, 40, 30], Operations: ['55-25=30'] Exploring Operation: 30+40=70, Resulting Numbers: [30, 70] Generated Node #0,4,0: 53:[30, 70] Operation: 30+40=70 Exploring Operation: 40-30=10, Resulting Numbers: [30, 10] Generated Node #0,4,1: 53:[30, 10] Operation: 40-30=10 Exploring Operation: 30/30=1, Resulting Numbers: [40, 1] Generated Node #0,4,2: 53:[40, 1] Operation: 30/30=1 Exploring Operation: 40+30=70, Resulting Numbers: [30, 70] Generated Node #0,4,3: 53:[30, 70] Operation: 40+30=70 Exploring Operation: 30+30=60, Resulting Numbers: [40, 60] Generated Node #0,4,4: 53:[40, 60] Operation: 30+30=60 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 53:[40, 60], Operations: ['55-25=30', '30+30=60'] Exploring Operation: 40*60=2400, Resulting Numbers: [2400] 2400,53 unequal: No Solution Exploring Operation: 40+60=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,53 unequal: No Solution No 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: 53:[30, 70], Operations: ['55-25=30', '30+40=70'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 30*70=2100, Resulting Numbers: [2100] 2100,53 unequal: No Solution Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 53:[30, 70], Operations: ['55-25=30', '40+30=70'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 30*70=2100, Resulting Numbers: [2100] 2100,53 unequal: No Solution No 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: 53:[40, 1], Operations: ['55-25=30', '30/30=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,53 unequal: No Solution Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,53 unequal: No Solution Exploring Operation: 40/1=40, Resulting Numbers: [40] 40,53 unequal: No Solution No 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: 53:[30, 10], Operations: ['55-25=30', '40-30=10'] Exploring Operation: 30*10=300, Resulting Numbers: [300] 300,53 unequal: No Solution Exploring Operation: 30+10=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 30/10=3, Resulting Numbers: [3] 3,53 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: 53:[55, 40, 5], Operations: ['30-25=5'] Exploring Operation: 40+5=45, Resulting Numbers: [55, 45] Generated Node #0,0,0: 53:[55, 45] Operation: 40+5=45 Exploring Operation: 40/5=8, Resulting Numbers: [55, 8] Generated Node #0,0,1: 53:[55, 8] Operation: 40/5=8 Exploring Operation: 55-5=50, Resulting Numbers: [40, 50] Generated Node #0,0,2: 53:[40, 50] Operation: 55-5=50 Exploring Operation: 40-5=35, Resulting Numbers: [55, 35] Generated Node #0,0,3: 53:[55, 35] Operation: 40-5=35 Exploring Operation: 55+5=60, Resulting Numbers: [40, 60] Generated Node #0,0,4: 53:[40, 60] Operation: 55+5=60 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 53:[55, 45], Operations: ['30-25=5', '40+5=45'] Exploring Operation: 55-45=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 55+45=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 55*45=2475, Resulting Numbers: [2475] 2475,53 unequal: No Solution No 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: 53:[40, 50], Operations: ['30-25=5', '55-5=50'] Exploring Operation: 40+50=90, Resulting Numbers: [90] 90,53 unequal: No Solution Exploring Operation: 50-40=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 40*50=2000, Resulting Numbers: [2000] 2000,53 unequal: No Solution No 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: 53:[55, 35], Operations: ['30-25=5', '40-5=35'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 55+35=90, Resulting Numbers: [90] 90,53 unequal: No Solution Exploring Operation: 55*35=1925, Resulting Numbers: [1925] 1925,53 unequal: No Solution No 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: 53:[40, 60], Operations: ['30-25=5', '55+5=60'] Exploring Operation: 40+60=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 40*60=2400, Resulting Numbers: [2400] 2400,53 unequal: No Solution Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,53 unequal: No Solution No 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: 53:[55, 8], Operations: ['30-25=5', '40/5=8'] Exploring Operation: 55+8=63, Resulting Numbers: [63] 63,53 unequal: No Solution Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,53 unequal: No Solution Exploring Operation: 55*8=440, Resulting Numbers: [440] 440,53 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: 53:[55, 35], Operations: ['25+40=65', '65-30=35'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 55+35=90, Resulting Numbers: [90] 90,53 unequal: No Solution Exploring Operation: 55*35=1925, Resulting Numbers: [1925] 1925,53 unequal: No Solution Moving to Node #0,1,0 Current State: 53:[65, 25], Operations: ['25+40=65', '55-30=25'] Exploring Operation: 65*25=1625, Resulting Numbers: [1625] 1625,53 unequal: No Solution Exploring Operation: 65+25=90, Resulting Numbers: [90] 90,53 unequal: No Solution Exploring Operation: 65-25=40, Resulting Numbers: [40] 40,53 unequal: No Solution Moving to Node #0,1,1 Current State: 53:[55, 95], Operations: ['25+40=65', '30+65=95'] Exploring Operation: 55+95=150, Resulting Numbers: [150] 150,53 unequal: No Solution Exploring Operation: 55*95=5225, Resulting Numbers: [5225] 5225,53 unequal: No Solution Exploring Operation: 95-55=40, Resulting Numbers: [40] 40,53 unequal: No Solution Moving to Node #0,1,4 Current State: 53:[65, 85], Operations: ['25+40=65', '30+55=85'] Exploring Operation: 85-65=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 65+85=150, Resulting Numbers: [150] 150,53 unequal: No Solution Exploring Operation: 65*85=5525, Resulting Numbers: [5525] 5525,53 unequal: No Solution Moving to Node #0,1,3 Current State: 53:[30, 10], Operations: ['25+40=65', '65-55=10'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 30/10=3, Resulting Numbers: [3] 3,53 unequal: No Solution Exploring Operation: 30*10=300, Resulting Numbers: [300] 300,53 unequal: No Solution Exploring Operation: 30+10=40, Resulting Numbers: [40] 40,53 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 53, 31, 21, 79 ]
82
[ "53*31=1643", "79+1643=1722", "1722/21=82" ]
Current State: 82:[53, 31, 21, 79], Operations: [] Exploring Operation: 53*31=1643, Resulting Numbers: [21, 79, 1643] Generated Node #2: [21, 79, 1643] from Operation: 53*31=1643 Current State: 82:[21, 79, 1643], Operations: ['53*31=1643'] Exploring Operation: 79+1643=1722, Resulting Numbers: [21, 1722] Generated Node #3: [21, 1722] from Operation: 79+1643=1722 Current State: 82:[21, 1722], Operations: ['53*31=1643', '79+1643=1722'] Exploring Operation: 1722/21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[53, 31, 21, 79], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [31, 79, 32] Generated Node #0,0: 82:[31, 79, 32] Operation: 53-21=32 Exploring Operation: 53+21=74, Resulting Numbers: [31, 79, 74] Generated Node #0,1: 82:[31, 79, 74] Operation: 53+21=74 Moving to Node #0,1 Current State: 82:[31, 79, 74], Operations: ['53+21=74'] Exploring Operation: 79-74=5, Resulting Numbers: [31, 5] Generated Node #0,1,0: 82:[31, 5] Operation: 79-74=5 Exploring Operation: 74-31=43, Resulting Numbers: [79, 43] Generated Node #0,1,1: 82:[79, 43] Operation: 74-31=43 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 82:[79, 43], Operations: ['53+21=74', '74-31=43'] Exploring Operation: 79+43=122, Resulting Numbers: [122] 122,82 unequal: No Solution Exploring Operation: 79-43=36, Resulting Numbers: [36] 36,82 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 #0,1,0 Current State: 82:[31, 5], Operations: ['53+21=74', '79-74=5'] Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,82 unequal: No Solution Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,82 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: 82:[31, 79, 32], Operations: ['53-21=32'] Exploring Operation: 79-31=48, Resulting Numbers: [32, 48] Generated Node #0,0,0: 82:[32, 48] Operation: 79-31=48 Exploring Operation: 32-31=1, Resulting Numbers: [79, 1] Generated Node #0,0,1: 82:[79, 1] Operation: 32-31=1 Moving to Node #0,0,1 Current State: 82:[79, 1], Operations: ['53-21=32', '32-31=1'] Exploring Operation: 79+1=80, Resulting Numbers: [80] 80,82 unequal: No Solution Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,82 unequal: No Solution Moving to Node #0,0,0 Current State: 82:[32, 48], Operations: ['53-21=32', '79-31=48'] Exploring Operation: 32+48=80, Resulting Numbers: [80] 80,82 unequal: No Solution Exploring Operation: 48-32=16, Resulting Numbers: [16] 16,82 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 34, 60, 77, 24 ]
12
[ "77-60=17", "34/17=2", "24/2=12" ]
Current State: 12:[34, 60, 77, 24], Operations: [] Exploring Operation: 77-60=17, Resulting Numbers: [34, 24, 17] Generated Node #2: [34, 24, 17] from Operation: 77-60=17 Current State: 12:[34, 24, 17], Operations: ['77-60=17'] Exploring Operation: 34/17=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 34/17=2 Current State: 12:[24, 2], Operations: ['77-60=17', '34/17=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[34, 60, 77, 24], Operations: [] Exploring Operation: 77-60=17, Resulting Numbers: [34, 24, 17] Generated Node #0,0: 12:[34, 24, 17] Operation: 77-60=17 Moving to Node #0,0 Current State: 12:[34, 24, 17], Operations: ['77-60=17'] Exploring Operation: 34-24=10, Resulting Numbers: [17, 10] Generated Node #0,0,0: 12:[17, 10] Operation: 34-24=10 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 12:[17, 10], Operations: ['77-60=17', '34-24=10'] Exploring Operation: 17-10=7, Resulting Numbers: [7] 7,12 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
[ 72, 54, 65, 59 ]
63
[ "65-59=6", "54/6=9", "72-9=63" ]
Current State: 63:[72, 54, 65, 59], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [72, 54, 6] Generated Node #2: [72, 54, 6] from Operation: 65-59=6 Current State: 63:[72, 54, 6], Operations: ['65-59=6'] Exploring Operation: 54/6=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 54/6=9 Current State: 63:[72, 9], Operations: ['65-59=6', '54/6=9'] Exploring Operation: 72-9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[72, 54, 65, 59], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [54, 65, 13] Generated Node #0,0: 63:[54, 65, 13] Operation: 72-59=13 Exploring Operation: 72-65=7, Resulting Numbers: [54, 59, 7] Generated Node #0,1: 63:[54, 59, 7] Operation: 72-65=7 Exploring Operation: 72-54=18, Resulting Numbers: [65, 59, 18] Generated Node #0,2: 63:[65, 59, 18] Operation: 72-54=18 Exploring Operation: 65-54=11, Resulting Numbers: [72, 59, 11] Generated Node #0,3: 63:[72, 59, 11] Operation: 65-54=11 Exploring Operation: 59-54=5, Resulting Numbers: [72, 65, 5] Generated Node #0,4: 63:[72, 65, 5] Operation: 59-54=5 Start Sub Search at level 1: Moving to Node #0,2 Current State: 63:[65, 59, 18], Operations: ['72-54=18'] Exploring Operation: 65+18=83, Resulting Numbers: [59, 83] Generated Node #0,2,0: 63:[59, 83] Operation: 65+18=83 Exploring Operation: 59-18=41, Resulting Numbers: [65, 41] Generated Node #0,2,1: 63:[65, 41] Operation: 59-18=41 Exploring Operation: 59+18=77, Resulting Numbers: [65, 77] Generated Node #0,2,2: 63:[65, 77] Operation: 59+18=77 Exploring Operation: 65-18=47, Resulting Numbers: [59, 47] Generated Node #0,2,3: 63:[59, 47] Operation: 65-18=47 Exploring Operation: 65-59=6, Resulting Numbers: [18, 6] Generated Node #0,2,4: 63:[18, 6] Operation: 65-59=6 Moving to Node #0,2,4 Current State: 63:[18, 6], Operations: ['72-54=18', '65-59=6'] Exploring Operation: 18/6=3, Resulting Numbers: [3] 3,63 unequal: No Solution Exploring Operation: 18+6=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 18-6=12, Resulting Numbers: [12] 12,63 unequal: No Solution Exploring Operation: 18*6=108, Resulting Numbers: [108] 108,63 unequal: No Solution Moving to Node #0,2,2 Current State: 63:[65, 77], Operations: ['72-54=18', '59+18=77'] Exploring Operation: 65+77=142, Resulting Numbers: [142] 142,63 unequal: No Solution Exploring Operation: 65*77=5005, Resulting Numbers: [5005] 5005,63 unequal: No Solution Exploring Operation: 77-65=12, Resulting Numbers: [12] 12,63 unequal: No Solution Moving to Node #0,2,3 Current State: 63:[59, 47], Operations: ['72-54=18', '65-18=47'] Exploring Operation: 59-47=12, Resulting Numbers: [12] 12,63 unequal: No Solution Exploring Operation: 59+47=106, Resulting Numbers: [106] 106,63 unequal: No Solution Exploring Operation: 59*47=2773, Resulting Numbers: [2773] 2773,63 unequal: No Solution Moving to Node #0,2,1 Current State: 63:[65, 41], Operations: ['72-54=18', '59-18=41'] Exploring Operation: 65-41=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 65+41=106, Resulting Numbers: [106] 106,63 unequal: No Solution Exploring Operation: 65*41=2665, Resulting Numbers: [2665] 2665,63 unequal: No Solution Moving to Node #0,2,0 Current State: 63:[59, 83], Operations: ['72-54=18', '65+18=83'] Exploring Operation: 83-59=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 59*83=4897, Resulting Numbers: [4897] 4897,63 unequal: No Solution Exploring Operation: 59+83=142, Resulting Numbers: [142] 142,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 63:[54, 59, 7], Operations: ['72-65=7'] Exploring Operation: 59-54=5, Resulting Numbers: [7, 5] Generated Node #0,1,0: 63:[7, 5] Operation: 59-54=5 Exploring Operation: 54-7=47, Resulting Numbers: [59, 47] Generated Node #0,1,1: 63:[59, 47] Operation: 54-7=47 Exploring Operation: 59+7=66, Resulting Numbers: [54, 66] Generated Node #0,1,2: 63:[54, 66] Operation: 59+7=66 Exploring Operation: 54+7=61, Resulting Numbers: [59, 61] Generated Node #0,1,3: 63:[59, 61] Operation: 54+7=61 Exploring Operation: 59-7=52, Resulting Numbers: [54, 52] Generated Node #0,1,4: 63:[54, 52] Operation: 59-7=52 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 63:[7, 5], Operations: ['72-65=7', '59-54=5'] Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 7+5=12, Resulting Numbers: [12] 12,63 unequal: No Solution Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,63 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: 63:[59, 61], Operations: ['72-65=7', '54+7=61'] Exploring Operation: 59*61=3599, Resulting Numbers: [3599] 3599,63 unequal: No Solution Exploring Operation: 61-59=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 59+61=120, Resulting Numbers: [120] 120,63 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: 63:[54, 66], Operations: ['72-65=7', '59+7=66'] Exploring Operation: 66-54=12, Resulting Numbers: [12] 12,63 unequal: No Solution Exploring Operation: 54+66=120, Resulting Numbers: [120] 120,63 unequal: No Solution Exploring Operation: 54*66=3564, Resulting Numbers: [3564] 3564,63 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: 63:[59, 47], Operations: ['72-65=7', '54-7=47'] Exploring Operation: 59+47=106, Resulting Numbers: [106] 106,63 unequal: No Solution Exploring Operation: 59-47=12, Resulting Numbers: [12] 12,63 unequal: No Solution Exploring Operation: 59*47=2773, Resulting Numbers: [2773] 2773,63 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: 63:[54, 52], Operations: ['72-65=7', '59-7=52'] Exploring Operation: 54+52=106, Resulting Numbers: [106] 106,63 unequal: No Solution Exploring Operation: 54*52=2808, Resulting Numbers: [2808] 2808,63 unequal: No Solution Exploring Operation: 54-52=2, Resulting Numbers: [2] 2,63 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 63:[72, 65, 5], Operations: ['59-54=5'] Exploring Operation: 72-5=67, Resulting Numbers: [65, 67] Generated Node #0,4,0: 63:[65, 67] Operation: 72-5=67 Exploring Operation: 72+5=77, Resulting Numbers: [65, 77] Generated Node #0,4,1: 63:[65, 77] Operation: 72+5=77 Exploring Operation: 72-65=7, Resulting Numbers: [5, 7] Generated Node #0,4,2: 63:[5, 7] Operation: 72-65=7 Exploring Operation: 65/5=13, Resulting Numbers: [72, 13] Generated Node #0,4,3: 63:[72, 13] Operation: 65/5=13 Exploring Operation: 65-5=60, Resulting Numbers: [72, 60] Generated Node #0,4,4: 63:[72, 60] Operation: 65-5=60 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 63:[5, 7], Operations: ['59-54=5', '72-65=7'] Exploring Operation: 5*7=35, Resulting Numbers: [35] 35,63 unequal: No Solution Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,63 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: 63:[65, 67], Operations: ['59-54=5', '72-5=67'] Exploring Operation: 65*67=4355, Resulting Numbers: [4355] 4355,63 unequal: No Solution Exploring Operation: 67-65=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 65+67=132, Resulting Numbers: [132] 132,63 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: 63:[72, 60], Operations: ['59-54=5', '65-5=60'] Exploring Operation: 72*60=4320, Resulting Numbers: [4320] 4320,63 unequal: No Solution Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,63 unequal: No Solution Exploring Operation: 72+60=132, Resulting Numbers: [132] 132,63 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: 63:[72, 13], Operations: ['59-54=5', '65/5=13'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,63 unequal: No Solution Exploring Operation: 72*13=936, Resulting Numbers: [936] 936,63 unequal: No Solution Exploring Operation: 72+13=85, Resulting Numbers: [85] 85,63 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: 63:[65, 77], Operations: ['59-54=5', '72+5=77'] Exploring Operation: 65*77=5005, Resulting Numbers: [5005] 5005,63 unequal: No Solution Exploring Operation: 65+77=142, Resulting Numbers: [142] 142,63 unequal: No Solution Exploring Operation: 77-65=12, Resulting Numbers: [12] 12,63 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 63:[54, 65, 13], Operations: ['72-59=13'] Exploring Operation: 65-13=52, Resulting Numbers: [54, 52] Generated Node #0,0,0: 63:[54, 52] Operation: 65-13=52 Exploring Operation: 54+13=67, Resulting Numbers: [65, 67] Generated Node #0,0,1: 63:[65, 67] Operation: 54+13=67 Exploring Operation: 54-13=41, Resulting Numbers: [65, 41] Generated Node #0,0,2: 63:[65, 41] Operation: 54-13=41 Exploring Operation: 65/13=5, Resulting Numbers: [54, 5] Generated Node #0,0,3: 63:[54, 5] Operation: 65/13=5 Exploring Operation: 65-54=11, Resulting Numbers: [13, 11] Generated Node #0,0,4: 63:[13, 11] Operation: 65-54=11 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 63:[65, 67], Operations: ['72-59=13', '54+13=67'] Exploring Operation: 67-65=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 65+67=132, Resulting Numbers: [132] 132,63 unequal: No Solution Exploring Operation: 65*67=4355, Resulting Numbers: [4355] 4355,63 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 63:[13, 11], Operations: ['72-59=13', '65-54=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 13*11=143, Resulting Numbers: [143] 143,63 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: 63:[54, 5], Operations: ['72-59=13', '65/13=5'] Exploring Operation: 54+5=59, Resulting Numbers: [59] 59,63 unequal: No Solution Exploring Operation: 54*5=270, Resulting Numbers: [270] 270,63 unequal: No Solution Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,63 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: 63:[54, 52], Operations: ['72-59=13', '65-13=52'] Exploring Operation: 54*52=2808, Resulting Numbers: [2808] 2808,63 unequal: No Solution Exploring Operation: 54+52=106, Resulting Numbers: [106] 106,63 unequal: No Solution Exploring Operation: 54-52=2, Resulting Numbers: [2] 2,63 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: 63:[65, 41], Operations: ['72-59=13', '54-13=41'] Exploring Operation: 65*41=2665, Resulting Numbers: [2665] 2665,63 unequal: No Solution Exploring Operation: 65-41=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 65+41=106, Resulting Numbers: [106] 106,63 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 63:[72, 59, 11], Operations: ['65-54=11'] Exploring Operation: 72-11=61, Resulting Numbers: [59, 61] Generated Node #0,3,0: 63:[59, 61] Operation: 72-11=61 Exploring Operation: 59-11=48, Resulting Numbers: [72, 48] Generated Node #0,3,1: 63:[72, 48] Operation: 59-11=48 Exploring Operation: 72-59=13, Resulting Numbers: [11, 13] Generated Node #0,3,2: 63:[11, 13] Operation: 72-59=13 Exploring Operation: 72+11=83, Resulting Numbers: [59, 83] Generated Node #0,3,3: 63:[59, 83] Operation: 72+11=83 Exploring Operation: 59+11=70, Resulting Numbers: [72, 70] Generated Node #0,3,4: 63:[72, 70] Operation: 59+11=70 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 63:[59, 61], Operations: ['65-54=11', '72-11=61'] Exploring Operation: 61-59=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 59*61=3599, Resulting Numbers: [3599] 3599,63 unequal: No Solution Exploring Operation: 59+61=120, Resulting Numbers: [120] 120,63 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: 63:[11, 13], Operations: ['65-54=11', '72-59=13'] Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 11*13=143, Resulting Numbers: [143] 143,63 unequal: No Solution Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,63 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: 63:[72, 70], Operations: ['65-54=11', '59+11=70'] Exploring Operation: 72*70=5040, Resulting Numbers: [5040] 5040,63 unequal: No Solution Exploring Operation: 72-70=2, Resulting Numbers: [2] 2,63 unequal: No Solution Exploring Operation: 72+70=142, Resulting Numbers: [142] 142,63 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: 63:[72, 48], Operations: ['65-54=11', '59-11=48'] Exploring Operation: 72+48=120, Resulting Numbers: [120] 120,63 unequal: No Solution Exploring Operation: 72-48=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 72*48=3456, Resulting Numbers: [3456] 3456,63 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: 63:[59, 83], Operations: ['65-54=11', '72+11=83'] Exploring Operation: 59+83=142, Resulting Numbers: [142] 142,63 unequal: No Solution Exploring Operation: 83-59=24, Resulting Numbers: [24] 24,63 unequal: No Solution Exploring Operation: 59*83=4897, Resulting Numbers: [4897] 4897,63 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 27, 85, 4, 95 ]
98
[ "27*4=108", "95-85=10", "108-10=98" ]
Current State: 98:[27, 85, 4, 95], Operations: [] Exploring Operation: 27*4=108, Resulting Numbers: [85, 95, 108] Generated Node #2: [85, 95, 108] from Operation: 27*4=108 Current State: 98:[85, 95, 108], Operations: ['27*4=108'] Exploring Operation: 95-85=10, Resulting Numbers: [108, 10] Generated Node #3: [108, 10] from Operation: 95-85=10 Current State: 98:[108, 10], Operations: ['27*4=108', '95-85=10'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[27, 85, 4, 95], Operations: [] Exploring Operation: 85-27=58, Resulting Numbers: [4, 95, 58] Generated Node #0,0: 98:[4, 95, 58] Operation: 85-27=58 Exploring Operation: 27+85=112, Resulting Numbers: [4, 95, 112] Generated Node #0,1: 98:[4, 95, 112] Operation: 27+85=112 Exploring Operation: 95-85=10, Resulting Numbers: [27, 4, 10] Generated Node #0,2: 98:[27, 4, 10] Operation: 95-85=10 Exploring Operation: 27-4=23, Resulting Numbers: [85, 95, 23] Generated Node #0,3: 98:[85, 95, 23] Operation: 27-4=23 Exploring Operation: 85+4=89, Resulting Numbers: [27, 95, 89] Generated Node #0,4: 98:[27, 95, 89] Operation: 85+4=89 Start Sub Search at level 1: Moving to Node #0,0 Current State: 98:[4, 95, 58], Operations: ['85-27=58'] Exploring Operation: 4+58=62, Resulting Numbers: [95, 62] Generated Node #0,0,0: 98:[95, 62] Operation: 4+58=62 Exploring Operation: 4+95=99, Resulting Numbers: [58, 99] Generated Node #0,0,1: 98:[58, 99] Operation: 4+95=99 Exploring Operation: 95-4=91, Resulting Numbers: [58, 91] Generated Node #0,0,2: 98:[58, 91] Operation: 95-4=91 Exploring Operation: 58-4=54, Resulting Numbers: [95, 54] Generated Node #0,0,3: 98:[95, 54] Operation: 58-4=54 Exploring Operation: 95-58=37, Resulting Numbers: [4, 37] Generated Node #0,0,4: 98:[4, 37] Operation: 95-58=37 Moving to Node #0,0,3 Current State: 98:[95, 54], Operations: ['85-27=58', '58-4=54'] Exploring Operation: 95+54=149, Resulting Numbers: [149] 149,98 unequal: No Solution Exploring Operation: 95*54=5130, Resulting Numbers: [5130] 5130,98 unequal: No Solution Exploring Operation: 95-54=41, Resulting Numbers: [41] 41,98 unequal: No Solution Moving to Node #0,0,1 Current State: 98:[58, 99], Operations: ['85-27=58', '4+95=99'] Exploring Operation: 58+99=157, Resulting Numbers: [157] 157,98 unequal: No Solution Exploring Operation: 58*99=5742, Resulting Numbers: [5742] 5742,98 unequal: No Solution Exploring Operation: 99-58=41, Resulting Numbers: [41] 41,98 unequal: No Solution Moving to Node #0,0,4 Current State: 98:[4, 37], Operations: ['85-27=58', '95-58=37'] Exploring Operation: 4*37=148, Resulting Numbers: [148] 148,98 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,98 unequal: No Solution Exploring Operation: 4+37=41, Resulting Numbers: [41] 41,98 unequal: No Solution Moving to Node #0,0,0 Current State: 98:[95, 62], Operations: ['85-27=58', '4+58=62'] Exploring Operation: 95*62=5890, Resulting Numbers: [5890] 5890,98 unequal: No Solution Exploring Operation: 95+62=157, Resulting Numbers: [157] 157,98 unequal: No Solution Exploring Operation: 95-62=33, Resulting Numbers: [33] 33,98 unequal: No Solution Moving to Node #0,0,2 Current State: 98:[58, 91], Operations: ['85-27=58', '95-4=91'] Exploring Operation: 58*91=5278, Resulting Numbers: [5278] 5278,98 unequal: No Solution Exploring Operation: 58+91=149, Resulting Numbers: [149] 149,98 unequal: No Solution Exploring Operation: 91-58=33, Resulting Numbers: [33] 33,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 98:[27, 4, 10], Operations: ['95-85=10'] Exploring Operation: 27+10=37, Resulting Numbers: [4, 37] Generated Node #0,2,0: 98:[4, 37] Operation: 27+10=37 Exploring Operation: 27-4=23, Resulting Numbers: [10, 23] Generated Node #0,2,1: 98:[10, 23] Operation: 27-4=23 Exploring Operation: 27-10=17, Resulting Numbers: [4, 17] Generated Node #0,2,2: 98:[4, 17] Operation: 27-10=17 Exploring Operation: 27*4=108, Resulting Numbers: [10, 108] Generated Node #0,2,3: 98:[10, 108] Operation: 27*4=108 Exploring Operation: 4+10=14, Resulting Numbers: [27, 14] Generated Node #0,2,4: 98:[27, 14] Operation: 4+10=14 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 98:[4, 17], Operations: ['95-85=10', '27-10=17'] Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,98 unequal: No Solution Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,98 unequal: No Solution Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,98 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: 98:[10, 23], Operations: ['95-85=10', '27-4=23'] Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,98 unequal: No Solution Exploring Operation: 10*23=230, Resulting Numbers: [230] 230,98 unequal: No Solution Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,98 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: 98:[10, 108], Operations: ['95-85=10', '27*4=108'] Exploring Operation: 10*108=1080, Resulting Numbers: [1080] 1080,98 unequal: No Solution Exploring Operation: 10+108=118, Resulting Numbers: [118] 118,98 unequal: No Solution Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[27, 85, 4, 95], Operations: [] Exploring Operation: 95-85=10, Resulting Numbers: [27, 4, 10] Generated Node #0,2: 98:[27, 4, 10] Operation: 95-85=10 Moving to Node #0,2 Current State: 98:[27, 4, 10], Operations: ['95-85=10'] Exploring Operation: 27*4=108, Resulting Numbers: [10, 108] Generated Node #0,2,3: 98:[10, 108] Operation: 27*4=108 Moving to Node #0,2,3 Current State: 98:[10, 108], Operations: ['95-85=10', '27*4=108'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.962674
hs_5
mult_heuristic
[ 74, 79, 14, 11 ]
71
[ "74+14=88", "88/11=8", "79-8=71" ]
Current State: 71:[74, 79, 14, 11], Operations: [] Exploring Operation: 74+14=88, Resulting Numbers: [79, 11, 88] Generated Node #2: [79, 11, 88] from Operation: 74+14=88 Current State: 71:[79, 11, 88], Operations: ['74+14=88'] Exploring Operation: 88/11=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 88/11=8 Current State: 71:[79, 8], Operations: ['74+14=88', '88/11=8'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[74, 79, 14, 11], Operations: [] Exploring Operation: 14+11=25, Resulting Numbers: [74, 79, 25] Generated Node #0,0: 71:[74, 79, 25] Operation: 14+11=25 Exploring Operation: 79-11=68, Resulting Numbers: [74, 14, 68] Generated Node #0,1: 71:[74, 14, 68] Operation: 79-11=68 Moving to Node #0,0 Current State: 71:[74, 79, 25], Operations: ['14+11=25'] Exploring Operation: 74-25=49, Resulting Numbers: [79, 49] Generated Node #0,0,0: 71:[79, 49] Operation: 74-25=49 Exploring Operation: 79-25=54, Resulting Numbers: [74, 54] Generated Node #0,0,1: 71:[74, 54] Operation: 79-25=54 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 71:[74, 54], Operations: ['14+11=25', '79-25=54'] Exploring Operation: 74-54=20, Resulting Numbers: [20] 20,71 unequal: No Solution Exploring Operation: 74+54=128, Resulting Numbers: [128] 128,71 unequal: No Solution No 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: 71:[79, 49], Operations: ['14+11=25', '74-25=49'] Exploring Operation: 79+49=128, Resulting Numbers: [128] 128,71 unequal: No Solution Exploring Operation: 79-49=30, Resulting Numbers: [30] 30,71 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: 71:[74, 14, 68], Operations: ['79-11=68'] Exploring Operation: 74-14=60, Resulting Numbers: [68, 60] Generated Node #0,1,0: 71:[68, 60] Operation: 74-14=60 Exploring Operation: 14+68=82, Resulting Numbers: [74, 82] Generated Node #0,1,1: 71:[74, 82] Operation: 14+68=82 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 71:[68, 60], Operations: ['79-11=68', '74-14=60'] Exploring Operation: 68+60=128, Resulting Numbers: [128] 128,71 unequal: No Solution Exploring Operation: 68-60=8, Resulting Numbers: [8] 8,71 unequal: No Solution No 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: 71:[74, 82], Operations: ['79-11=68', '14+68=82'] Exploring Operation: 82-74=8, Resulting Numbers: [8] 8,71 unequal: No Solution Exploring Operation: 74+82=156, Resulting Numbers: [156] 156,71 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
[ 78, 18, 18, 39 ]
78
[ "18-18=0", "39*0=0", "78+0=78" ]
Current State: 78:[78, 18, 18, 39], Operations: [] Exploring Operation: 18-18=0, Resulting Numbers: [78, 39, 0] Generated Node #2: [78, 39, 0] from Operation: 18-18=0 Current State: 78:[78, 39, 0], Operations: ['18-18=0'] Exploring Operation: 39*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 39*0=0 Current State: 78:[78, 0], Operations: ['18-18=0', '39*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[78, 18, 18, 39], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [18, 18, 39] Generated Node #0,0: 78:[18, 18, 39] Operation: 78-39=39 Exploring Operation: 18-18=0, Resulting Numbers: [78, 39, 0] Generated Node #0,1: 78:[78, 39, 0] Operation: 18-18=0 Exploring Operation: 18/18=1, Resulting Numbers: [78, 39, 1] Generated Node #0,2: 78:[78, 39, 1] Operation: 18/18=1 Exploring Operation: 78/39=2, Resulting Numbers: [18, 18, 2] Generated Node #0,3: 78:[18, 18, 2] Operation: 78/39=2 Exploring Operation: 18+18=36, Resulting Numbers: [78, 39, 36] Generated Node #0,4: 78:[78, 39, 36] Operation: 18+18=36 Moving to Node #0,2 Current State: 78:[78, 39, 1], Operations: ['18/18=1'] Exploring Operation: 78*1=78, Resulting Numbers: [39, 78] Generated Node #0,2,0: 78:[39, 78] Operation: 78*1=78 Exploring Operation: 78-39=39, Resulting Numbers: [1, 39] Generated Node #0,2,1: 78:[1, 39] Operation: 78-39=39 Exploring Operation: 78/1=78, Resulting Numbers: [39, 78] Generated Node #0,2,2: 78:[39, 78] Operation: 78/1=78 Exploring Operation: 39*1=39, Resulting Numbers: [78, 39] Generated Node #0,2,3: 78:[78, 39] Operation: 39*1=39 Exploring Operation: 39/1=39, Resulting Numbers: [78, 39] Generated Node #0,2,4: 78:[78, 39] Operation: 39/1=39 Moving to Node #0,1 Current State: 78:[78, 39, 0], Operations: ['18-18=0'] Exploring Operation: 39-0=39, Resulting Numbers: [78, 39] Generated Node #0,1,0: 78:[78, 39] Operation: 39-0=39 Exploring Operation: 39+0=39, Resulting Numbers: [78, 39] Generated Node #0,1,1: 78:[78, 39] Operation: 39+0=39 Exploring Operation: 78+0=78, Resulting Numbers: [39, 78] Generated Node #0,1,2: 78:[39, 78] Operation: 78+0=78 Exploring Operation: 78-39=39, Resulting Numbers: [0, 39] Generated Node #0,1,3: 78:[0, 39] Operation: 78-39=39 Exploring Operation: 78-0=78, Resulting Numbers: [39, 78] Generated Node #0,1,4: 78:[39, 78] Operation: 78-0=78 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 78:[78, 39], Operations: ['18-18=0', '39-0=39'] Exploring Operation: 78+39=117, Resulting Numbers: [117] 117,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 78*39=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution No 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: 78:[78, 39], Operations: ['18-18=0', '39+0=39'] Exploring Operation: 78*39=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 78+39=117, Resulting Numbers: [117] 117,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution No 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: 78:[39, 78], Operations: ['18-18=0', '78+0=78'] Exploring Operation: 39+78=117, Resulting Numbers: [117] 117,78 unequal: No Solution Exploring Operation: 39*78=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution No 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: 78:[39, 78], Operations: ['18-18=0', '78-0=78'] Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 39*78=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 39+78=117, Resulting Numbers: [117] 117,78 unequal: No Solution No 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: 78:[0, 39], Operations: ['18-18=0', '78-39=39'] Exploring Operation: 0+39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 0*39=0, Resulting Numbers: [0] 0,78 unequal: No Solution Exploring Operation: 39-0=39, Resulting Numbers: [39] 39,78 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: 78:[78, 39, 36], Operations: ['18+18=36'] Exploring Operation: 39-36=3, Resulting Numbers: [78, 3] Generated Node #0,4,0: 78:[78, 3] Operation: 39-36=3 Exploring Operation: 39+36=75, Resulting Numbers: [78, 75] Generated Node #0,4,1: 78:[78, 75] Operation: 39+36=75 Exploring Operation: 78/39=2, Resulting Numbers: [36, 2] Generated Node #0,4,2: 78:[36, 2] Operation: 78/39=2 Exploring Operation: 78-39=39, Resulting Numbers: [36, 39] Generated Node #0,4,3: 78:[36, 39] Operation: 78-39=39 Exploring Operation: 78-36=42, Resulting Numbers: [39, 42] Generated Node #0,4,4: 78:[39, 42] Operation: 78-36=42 Moving to Node #0,0 Current State: 78:[18, 18, 39], Operations: ['78-39=39'] Exploring Operation: 18-18=0, Resulting Numbers: [39, 0] Generated Node #0,0,0: 78:[39, 0] Operation: 18-18=0 Exploring Operation: 18+18=36, Resulting Numbers: [39, 36] Generated Node #0,0,1: 78:[39, 36] Operation: 18+18=36 Exploring Operation: 18/18=1, Resulting Numbers: [39, 1] Generated Node #0,0,2: 78:[39, 1] Operation: 18/18=1 Exploring Operation: 39-18=21, Resulting Numbers: [18, 21] Generated Node #0,0,3: 78:[18, 21] Operation: 39-18=21 Exploring Operation: 39-18=21, Resulting Numbers: [18, 21] Generated Node #0,0,4: 78:[18, 21] Operation: 39-18=21 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 78:[39, 1], Operations: ['78-39=39', '18/18=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 39/1=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,78 unequal: No Solution Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,78 unequal: No Solution No 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: 78:[39, 0], Operations: ['78-39=39', '18-18=0'] Exploring Operation: 39-0=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 39*0=0, Resulting Numbers: [0] 0,78 unequal: No Solution Exploring Operation: 39+0=39, Resulting Numbers: [39] 39,78 unequal: No Solution No 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: 78:[39, 36], Operations: ['78-39=39', '18+18=36'] Exploring Operation: 39-36=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 39*36=1404, Resulting Numbers: [1404] 1404,78 unequal: No Solution Exploring Operation: 39+36=75, Resulting Numbers: [75] 75,78 unequal: No Solution No 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: 78:[18, 21], Operations: ['78-39=39', '39-18=21'] Exploring Operation: 18+21=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 21-18=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 18*21=378, Resulting Numbers: [378] 378,78 unequal: No Solution No 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: 78:[18, 21], Operations: ['78-39=39', '39-18=21'] Exploring Operation: 21-18=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 18*21=378, Resulting Numbers: [378] 378,78 unequal: No Solution Exploring Operation: 18+21=39, Resulting Numbers: [39] 39,78 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: 78:[18, 18, 2], Operations: ['78/39=2'] Exploring Operation: 18-2=16, Resulting Numbers: [18, 16] Generated Node #0,3,0: 78:[18, 16] Operation: 18-2=16 Exploring Operation: 18+18=36, Resulting Numbers: [2, 36] Generated Node #0,3,1: 78:[2, 36] Operation: 18+18=36 Exploring Operation: 18/18=1, Resulting Numbers: [2, 1] Generated Node #0,3,2: 78:[2, 1] Operation: 18/18=1 Exploring Operation: 18-18=0, Resulting Numbers: [2, 0] Generated Node #0,3,3: 78:[2, 0] Operation: 18-18=0 Exploring Operation: 18*2=36, Resulting Numbers: [18, 36] Generated Node #0,3,4: 78:[18, 36] Operation: 18*2=36 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 78:[2, 1], Operations: ['78/39=2', '18/18=1'] Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2-1=1, Resulting Numbers: [1] 1,78 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,78 unequal: No Solution No 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: 78:[2, 0], Operations: ['78/39=2', '18-18=0'] Exploring Operation: 2*0=0, Resulting Numbers: [0] 0,78 unequal: No Solution Exploring Operation: 2+0=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2-0=2, Resulting Numbers: [2] 2,78 unequal: No Solution No 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: 78:[2, 36], Operations: ['78/39=2', '18+18=36'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,78 unequal: No Solution Exploring Operation: 2+36=38, Resulting Numbers: [38] 38,78 unequal: No Solution Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,78 unequal: No Solution No 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: 78:[18, 16], Operations: ['78/39=2', '18-2=16'] Exploring Operation: 18+16=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 18-16=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 18*16=288, Resulting Numbers: [288] 288,78 unequal: No Solution No 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: 78:[18, 36], Operations: ['78/39=2', '18*2=36'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,78 unequal: No Solution Exploring Operation: 18*36=648, Resulting Numbers: [648] 648,78 unequal: No Solution Exploring Operation: 18+36=54, Resulting Numbers: [54] 54,78 unequal: No Solution Exploring Operation: 36/18=2, Resulting Numbers: [2] 2,78 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,0 Current State: 78:[39, 78], Operations: ['18/18=1', '78*1=78'] Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 39*78=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 39+78=117, Resulting Numbers: [117] 117,78 unequal: No Solution Moving to Node #0,2,3 Current State: 78:[78, 39], Operations: ['18/18=1', '39*1=39'] Exploring Operation: 78+39=117, Resulting Numbers: [117] 117,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 78*39=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Moving to Node #0,4,0 Current State: 78:[78, 3], Operations: ['18+18=36', '39-36=3'] Exploring Operation: 78-3=75, Resulting Numbers: [75] 75,78 unequal: No Solution Exploring Operation: 78*3=234, Resulting Numbers: [234] 234,78 unequal: No Solution Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,78 unequal: No Solution Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,78 unequal: No Solution Moving to Node #0,2,2 Current State: 78:[39, 78], Operations: ['18/18=1', '78/1=78'] Exploring Operation: 39+78=117, Resulting Numbers: [117] 117,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 39*78=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Moving to Node #0,2,4 Current State: 78:[78, 39], Operations: ['18/18=1', '39/1=39'] Exploring Operation: 78+39=117, Resulting Numbers: [117] 117,78 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 78*39=3042, Resulting Numbers: [3042] 3042,78 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Moving to Node #0,2,1 Current State: 78:[1, 39], Operations: ['18/18=1', '78-39=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 1+39=40, Resulting Numbers: [40] 40,78 unequal: No Solution Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,78 unequal: No Solution Exploring Operation: 39/1=39, Resulting Numbers: [39] 39,78 unequal: No Solution Moving to Node #0,4,1 Current State: 78:[78, 75], Operations: ['18+18=36', '39+36=75'] Exploring Operation: 78-75=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 78+75=153, Resulting Numbers: [153] 153,78 unequal: No Solution Exploring Operation: 78*75=5850, Resulting Numbers: [5850] 5850,78 unequal: No Solution Moving to Node #0,4,4 Current State: 78:[39, 42], Operations: ['18+18=36', '78-36=42'] Exploring Operation: 42-39=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 39+42=81, Resulting Numbers: [81] 81,78 unequal: No Solution Exploring Operation: 39*42=1638, Resulting Numbers: [1638] 1638,78 unequal: No Solution Moving to Node #0,4,3 Current State: 78:[36, 39], Operations: ['18+18=36', '78-39=39'] Exploring Operation: 39-36=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,78 unequal: No Solution Exploring Operation: 36*39=1404, Resulting Numbers: [1404] 1404,78 unequal: No Solution Moving to Node #0,4,2 Current State: 78:[36, 2], Operations: ['18+18=36', '78/39=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,78 unequal: No Solution Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,78 unequal: No Solution Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,78 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 71, 29, 35, 3 ]
74
[ "71-29=42", "35-3=32", "42+32=74" ]
Current State: 74:[71, 29, 35, 3], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [35, 3, 42] Generated Node #2: [35, 3, 42] from Operation: 71-29=42 Current State: 74:[35, 3, 42], Operations: ['71-29=42'] Exploring Operation: 35-3=32, Resulting Numbers: [42, 32] Generated Node #3: [42, 32] from Operation: 35-3=32 Current State: 74:[42, 32], Operations: ['71-29=42', '35-3=32'] Exploring Operation: 42+32=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[71, 29, 35, 3], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [35, 3, 42] Generated Node #0,0: 74:[35, 3, 42] Operation: 71-29=42 Moving to Node #0,0 Current State: 74:[35, 3, 42], Operations: ['71-29=42'] Exploring Operation: 35+42=77, Resulting Numbers: [3, 77] Generated Node #0,0,0: 74:[3, 77] Operation: 35+42=77 Moving to Node #0,0,0 Current State: 74:[3, 77], Operations: ['71-29=42', '35+42=77'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[71, 29, 35, 3], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [35, 3, 42] Generated Node #0,0: 74:[35, 3, 42] Operation: 71-29=42 Moving to Node #0,0 Current State: 74:[35, 3, 42], Operations: ['71-29=42'] Exploring Operation: 35+42=77, Resulting Numbers: [3, 77] Generated Node #0,0,0: 74:[3, 77] Operation: 35+42=77 Moving to Node #0,0,0 Current State: 74:[3, 77], Operations: ['71-29=42', '35+42=77'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
0.993924
hs_1
mult_heuristic
[ 84, 74, 28, 21 ]
17
[ "84-74=10", "28-21=7", "10+7=17" ]
Current State: 17:[84, 74, 28, 21], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [28, 21, 10] Generated Node #2: [28, 21, 10] from Operation: 84-74=10 Current State: 17:[28, 21, 10], Operations: ['84-74=10'] Exploring Operation: 28-21=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 28-21=7 Current State: 17:[10, 7], Operations: ['84-74=10', '28-21=7'] Exploring Operation: 10+7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[84, 74, 28, 21], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [74, 21, 56] Generated Node #0,0: 17:[74, 21, 56] Operation: 84-28=56 Exploring Operation: 84-74=10, Resulting Numbers: [28, 21, 10] Generated Node #0,1: 17:[28, 21, 10] Operation: 84-74=10 Exploring Operation: 84/28=3, Resulting Numbers: [74, 21, 3] Generated Node #0,2: 17:[74, 21, 3] Operation: 84/28=3 Exploring Operation: 84/21=4, Resulting Numbers: [74, 28, 4] Generated Node #0,3: 17:[74, 28, 4] Operation: 84/21=4 Start Sub Search at level 1: Moving to Node #0,1 Current State: 17:[28, 21, 10], Operations: ['84-74=10'] Exploring Operation: 28+10=38, Resulting Numbers: [21, 38] Generated Node #0,1,0: 17:[21, 38] Operation: 28+10=38 Exploring Operation: 28-21=7, Resulting Numbers: [10, 7] Generated Node #0,1,1: 17:[10, 7] Operation: 28-21=7 Exploring Operation: 28-10=18, Resulting Numbers: [21, 18] Generated Node #0,1,2: 17:[21, 18] Operation: 28-10=18 Exploring Operation: 21-10=11, Resulting Numbers: [28, 11] Generated Node #0,1,3: 17:[28, 11] Operation: 21-10=11 Moving to Node #0,1,2 Current State: 17:[21, 18], Operations: ['84-74=10', '28-10=18'] Exploring Operation: 21-18=3, Resulting Numbers: [3] 3,17 unequal: No Solution Exploring Operation: 21*18=378, Resulting Numbers: [378] 378,17 unequal: No Solution Exploring Operation: 21+18=39, Resulting Numbers: [39] 39,17 unequal: No Solution Moving to Node #0,1,3 Current State: 17:[28, 11], Operations: ['84-74=10', '21-10=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,17 unequal: No Solution Exploring Operation: 28*11=308, Resulting Numbers: [308] 308,17 unequal: No Solution Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[84, 74, 28, 21], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [28, 21, 10] Generated Node #0,1: 17:[28, 21, 10] Operation: 84-74=10 Moving to Node #0,1 Current State: 17:[28, 21, 10], Operations: ['84-74=10'] Exploring Operation: 21-10=11, Resulting Numbers: [28, 11] Generated Node #0,1,3: 17:[28, 11] Operation: 21-10=11 Moving to Node #0,1,3 Current State: 17:[28, 11], Operations: ['84-74=10', '21-10=11'] Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_4
mult_heuristic
[ 65, 22, 32, 5 ]
80
[ "65-22=43", "32+5=37", "43+37=80" ]
Current State: 80:[65, 22, 32, 5], Operations: [] Exploring Operation: 65-22=43, Resulting Numbers: [32, 5, 43] Generated Node #2: [32, 5, 43] from Operation: 65-22=43 Current State: 80:[32, 5, 43], Operations: ['65-22=43'] Exploring Operation: 32+5=37, Resulting Numbers: [43, 37] Generated Node #3: [43, 37] from Operation: 32+5=37 Current State: 80:[43, 37], Operations: ['65-22=43', '32+5=37'] Exploring Operation: 43+37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[65, 22, 32, 5], Operations: [] Exploring Operation: 65-32=33, Resulting Numbers: [22, 5, 33] Generated Node #0,0: 80:[22, 5, 33] Operation: 65-32=33 Moving to Node #0,0 Current State: 80:[22, 5, 33], Operations: ['65-32=33'] Exploring Operation: 33-22=11, Resulting Numbers: [5, 11] Generated Node #0,0,0: 80:[5, 11] Operation: 33-22=11 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 80:[5, 11], Operations: ['65-32=33', '33-22=11'] Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,80 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
[ 61, 7, 54, 18 ]
40
[ "7*54=378", "378/18=21", "61-21=40" ]
Current State: 40:[61, 7, 54, 18], Operations: [] Exploring Operation: 7*54=378, Resulting Numbers: [61, 18, 378] Generated Node #2: [61, 18, 378] from Operation: 7*54=378 Current State: 40:[61, 18, 378], Operations: ['7*54=378'] Exploring Operation: 378/18=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 378/18=21 Current State: 40:[61, 21], Operations: ['7*54=378', '378/18=21'] Exploring Operation: 61-21=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[61, 7, 54, 18], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [7, 54, 43] Generated Node #0,0: 40:[7, 54, 43] Operation: 61-18=43 Exploring Operation: 54-18=36, Resulting Numbers: [61, 7, 36] Generated Node #0,1: 40:[61, 7, 36] Operation: 54-18=36 Exploring Operation: 54/18=3, Resulting Numbers: [61, 7, 3] Generated Node #0,2: 40:[61, 7, 3] Operation: 54/18=3 Exploring Operation: 61-54=7, Resulting Numbers: [7, 18, 7] Generated Node #0,3: 40:[7, 18, 7] Operation: 61-54=7 Moving to Node #0,3 Current State: 40:[7, 18, 7], Operations: ['61-54=7'] Exploring Operation: 18-7=11, Resulting Numbers: [7, 11] Generated Node #0,3,0: 40:[7, 11] Operation: 18-7=11 Exploring Operation: 18-7=11, Resulting Numbers: [7, 11] Generated Node #0,3,1: 40:[7, 11] Operation: 18-7=11 Exploring Operation: 7-7=0, Resulting Numbers: [18, 0] Generated Node #0,3,2: 40:[18, 0] Operation: 7-7=0 Exploring Operation: 7/7=1, Resulting Numbers: [18, 1] Generated Node #0,3,3: 40:[18, 1] Operation: 7/7=1 Moving to Node #0,0 Current State: 40:[7, 54, 43], Operations: ['61-18=43'] Exploring Operation: 54-43=11, Resulting Numbers: [7, 11] Generated Node #0,0,0: 40:[7, 11] Operation: 54-43=11 Exploring Operation: 43-7=36, Resulting Numbers: [54, 36] Generated Node #0,0,1: 40:[54, 36] Operation: 43-7=36 Exploring Operation: 7+54=61, Resulting Numbers: [43, 61] Generated Node #0,0,2: 40:[43, 61] Operation: 7+54=61 Exploring Operation: 54-7=47, Resulting Numbers: [43, 47] Generated Node #0,0,3: 40:[43, 47] Operation: 54-7=47 Moving to Node #0,2 Current State: 40:[61, 7, 3], Operations: ['54/18=3'] Exploring Operation: 7-3=4, Resulting Numbers: [61, 4] Generated Node #0,2,0: 40:[61, 4] Operation: 7-3=4 Exploring Operation: 61-3=58, Resulting Numbers: [7, 58] Generated Node #0,2,1: 40:[7, 58] Operation: 61-3=58 Exploring Operation: 7+3=10, Resulting Numbers: [61, 10] Generated Node #0,2,2: 40:[61, 10] Operation: 7+3=10 Exploring Operation: 61-7=54, Resulting Numbers: [3, 54] Generated Node #0,2,3: 40:[3, 54] Operation: 61-7=54 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 40:[3, 54], Operations: ['54/18=3', '61-7=54'] Exploring Operation: 3*54=162, Resulting Numbers: [162] 162,40 unequal: No Solution Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,40 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,40 unequal: No Solution No 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: 40:[7, 58], Operations: ['54/18=3', '61-3=58'] Exploring Operation: 7*58=406, Resulting Numbers: [406] 406,40 unequal: No Solution Exploring Operation: 7+58=65, Resulting Numbers: [65] 65,40 unequal: No Solution Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,40 unequal: No Solution No 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: 40:[61, 4], Operations: ['54/18=3', '7-3=4'] Exploring Operation: 61+4=65, Resulting Numbers: [65] 65,40 unequal: No Solution Exploring Operation: 61*4=244, Resulting Numbers: [244] 244,40 unequal: No Solution Exploring Operation: 61-4=57, Resulting Numbers: [57] 57,40 unequal: No Solution No 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: 40:[61, 10], Operations: ['54/18=3', '7+3=10'] Exploring Operation: 61*10=610, Resulting Numbers: [610] 610,40 unequal: No Solution Exploring Operation: 61-10=51, Resulting Numbers: [51] 51,40 unequal: No Solution Exploring Operation: 61+10=71, Resulting Numbers: [71] 71,40 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: 40:[61, 7, 36], Operations: ['54-18=36'] Exploring Operation: 7+36=43, Resulting Numbers: [61, 43] Generated Node #0,1,0: 40:[61, 43] Operation: 7+36=43 Exploring Operation: 36-7=29, Resulting Numbers: [61, 29] Generated Node #0,1,1: 40:[61, 29] Operation: 36-7=29 Exploring Operation: 61-7=54, Resulting Numbers: [36, 54] Generated Node #0,1,2: 40:[36, 54] Operation: 61-7=54 Exploring Operation: 61-36=25, Resulting Numbers: [7, 25] Generated Node #0,1,3: 40:[7, 25] Operation: 61-36=25 Moving to Node #0,3,0 Current State: 40:[7, 11], Operations: ['61-54=7', '18-7=11'] Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,40 unequal: No Solution Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,40 unequal: No Solution Moving to Node #0,3,1 Current State: 40:[7, 11], Operations: ['61-54=7', '18-7=11'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,40 unequal: No Solution Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,40 unequal: No Solution Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,40 unequal: No Solution Moving to Node #0,0,0 Current State: 40:[7, 11], Operations: ['61-18=43', '54-43=11'] Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,40 unequal: No Solution Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,40 unequal: No Solution Moving to Node #0,3,3 Current State: 40:[18, 1], Operations: ['61-54=7', '7/7=1'] Exploring Operation: 18/1=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,40 unequal: No Solution Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,40 unequal: No Solution Moving to Node #0,3,2 Current State: 40:[18, 0], Operations: ['61-54=7', '7-7=0'] Exploring Operation: 18+0=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 18-0=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 18*0=0, Resulting Numbers: [0] 0,40 unequal: No Solution Moving to Node #0,1,3 Current State: 40:[7, 25], Operations: ['54-18=36', '61-36=25'] Exploring Operation: 7+25=32, Resulting Numbers: [32] 32,40 unequal: No Solution Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 7*25=175, Resulting Numbers: [175] 175,40 unequal: No Solution Moving to Node #0,0,3 Current State: 40:[43, 47], Operations: ['61-18=43', '54-7=47'] Exploring Operation: 47-43=4, Resulting Numbers: [4] 4,40 unequal: No Solution Exploring Operation: 43+47=90, Resulting Numbers: [90] 90,40 unequal: No Solution Exploring Operation: 43*47=2021, Resulting Numbers: [2021] 2021,40 unequal: No Solution Moving to Node #0,0,1 Current State: 40:[54, 36], Operations: ['61-18=43', '43-7=36'] Exploring Operation: 54+36=90, Resulting Numbers: [90] 90,40 unequal: No Solution Exploring Operation: 54-36=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 54*36=1944, Resulting Numbers: [1944] 1944,40 unequal: No Solution Moving to Node #0,1,2 Current State: 40:[36, 54], Operations: ['54-18=36', '61-7=54'] Exploring Operation: 36*54=1944, Resulting Numbers: [1944] 1944,40 unequal: No Solution Exploring Operation: 54-36=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 36+54=90, Resulting Numbers: [90] 90,40 unequal: No Solution Moving to Node #0,0,2 Current State: 40:[43, 61], Operations: ['61-18=43', '7+54=61'] Exploring Operation: 61-43=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 43+61=104, Resulting Numbers: [104] 104,40 unequal: No Solution Exploring Operation: 43*61=2623, Resulting Numbers: [2623] 2623,40 unequal: No Solution Moving to Node #0,1,0 Current State: 40:[61, 43], Operations: ['54-18=36', '7+36=43'] Exploring Operation: 61+43=104, Resulting Numbers: [104] 104,40 unequal: No Solution Exploring Operation: 61-43=18, Resulting Numbers: [18] 18,40 unequal: No Solution Exploring Operation: 61*43=2623, Resulting Numbers: [2623] 2623,40 unequal: No Solution Moving to Node #0,1,1 Current State: 40:[61, 29], Operations: ['54-18=36', '36-7=29'] Exploring Operation: 61*29=1769, Resulting Numbers: [1769] 1769,40 unequal: No Solution Exploring Operation: 61+29=90, Resulting Numbers: [90] 90,40 unequal: No Solution Exploring Operation: 61-29=32, Resulting Numbers: [32] 32,40 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 18, 45, 52, 8 ]
17
[ "45-18=27", "52-8=44", "44-27=17" ]
Current State: 17:[18, 45, 52, 8], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [52, 8, 27] Generated Node #2: [52, 8, 27] from Operation: 45-18=27 Current State: 17:[52, 8, 27], Operations: ['45-18=27'] Exploring Operation: 52-8=44, Resulting Numbers: [27, 44] Generated Node #3: [27, 44] from Operation: 52-8=44 Current State: 17:[27, 44], Operations: ['45-18=27', '52-8=44'] Exploring Operation: 44-27=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[18, 45, 52, 8], Operations: [] Exploring Operation: 52-45=7, Resulting Numbers: [18, 8, 7] Generated Node #0,0: 17:[18, 8, 7] Operation: 52-45=7 Exploring Operation: 45-18=27, Resulting Numbers: [52, 8, 27] Generated Node #0,1: 17:[52, 8, 27] Operation: 45-18=27 Moving to Node #0,0 Current State: 17:[18, 8, 7], Operations: ['52-45=7'] Exploring Operation: 18-7=11, Resulting Numbers: [8, 11] Generated Node #0,0,0: 17:[8, 11] Operation: 18-7=11 Exploring Operation: 8+7=15, Resulting Numbers: [18, 15] Generated Node #0,0,1: 17:[18, 15] Operation: 8+7=15 Moving to Node #0,1 Current State: 17:[52, 8, 27], Operations: ['45-18=27'] Exploring Operation: 52-8=44, Resulting Numbers: [27, 44] Generated Node #0,1,0: 17:[27, 44] Operation: 52-8=44 Exploring Operation: 52-27=25, Resulting Numbers: [8, 25] Generated Node #0,1,1: 17:[8, 25] Operation: 52-27=25 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 17:[8, 25], Operations: ['45-18=27', '52-27=25'] Exploring Operation: 25-8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[18, 45, 52, 8], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [52, 8, 27] Generated Node #0,1: 17:[52, 8, 27] Operation: 45-18=27 Moving to Node #0,1 Current State: 17:[52, 8, 27], Operations: ['45-18=27'] Exploring Operation: 52-27=25, Resulting Numbers: [8, 25] Generated Node #0,1,1: 17:[8, 25] Operation: 52-27=25 Moving to Node #0,1,1 Current State: 17:[8, 25], Operations: ['45-18=27', '52-27=25'] Exploring Operation: 25-8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 35, 39, 7, 29 ]
35
[ "39-29=10", "7*10=70", "70-35=35" ]
Current State: 35:[35, 39, 7, 29], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [35, 7, 10] Generated Node #2: [35, 7, 10] from Operation: 39-29=10 Current State: 35:[35, 7, 10], Operations: ['39-29=10'] Exploring Operation: 7*10=70, Resulting Numbers: [35, 70] Generated Node #3: [35, 70] from Operation: 7*10=70 Current State: 35:[35, 70], Operations: ['39-29=10', '7*10=70'] Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[35, 39, 7, 29], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [39, 7, 6] Generated Node #0,0: 35:[39, 7, 6] Operation: 35-29=6 Exploring Operation: 39-29=10, Resulting Numbers: [35, 7, 10] Generated Node #0,1: 35:[35, 7, 10] Operation: 39-29=10 Exploring Operation: 7+29=36, Resulting Numbers: [35, 39, 36] Generated Node #0,2: 35:[35, 39, 36] Operation: 7+29=36 Moving to Node #0,1 Current State: 35:[35, 7, 10], Operations: ['39-29=10'] Exploring Operation: 35/7=5, Resulting Numbers: [10, 5] Generated Node #0,1,0: 35:[10, 5] Operation: 35/7=5 Exploring Operation: 10-7=3, Resulting Numbers: [35, 3] Generated Node #0,1,1: 35:[35, 3] Operation: 10-7=3 Exploring Operation: 35+7=42, Resulting Numbers: [10, 42] Generated Node #0,1,2: 35:[10, 42] Operation: 35+7=42 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 35:[35, 3], Operations: ['39-29=10', '10-7=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,35 unequal: No Solution Exploring Operation: 35*3=105, Resulting Numbers: [105] 105,35 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,35 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 #0,1,0 Current State: 35:[10, 5], Operations: ['39-29=10', '35/7=5'] Exploring Operation: 10/5=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 10-5=5, Resulting Numbers: [5] 5,35 unequal: No Solution Exploring Operation: 10+5=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 #0,1,2 Current State: 35:[10, 42], Operations: ['39-29=10', '35+7=42'] Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,35 unequal: No Solution Exploring Operation: 10+42=52, Resulting Numbers: [52] 52,35 unequal: No Solution Exploring Operation: 10*42=420, Resulting Numbers: [420] 420,35 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: 35:[39, 7, 6], Operations: ['35-29=6'] Exploring Operation: 39-6=33, Resulting Numbers: [7, 33] Generated Node #0,0,0: 35:[7, 33] Operation: 39-6=33 Exploring Operation: 7-6=1, Resulting Numbers: [39, 1] Generated Node #0,0,1: 35:[39, 1] Operation: 7-6=1 Exploring Operation: 39-7=32, Resulting Numbers: [6, 32] Generated Node #0,0,2: 35:[6, 32] Operation: 39-7=32 Moving to Node #0,2 Current State: 35:[35, 39, 36], Operations: ['7+29=36'] Exploring Operation: 39-36=3, Resulting Numbers: [35, 3] Generated Node #0,2,0: 35:[35, 3] Operation: 39-36=3 Exploring Operation: 39-35=4, Resulting Numbers: [36, 4] Generated Node #0,2,1: 35:[36, 4] Operation: 39-35=4 Exploring Operation: 36-35=1, Resulting Numbers: [39, 1] Generated Node #0,2,2: 35:[39, 1] Operation: 36-35=1 Moving to Node #0,0,0 Current State: 35:[7, 33], Operations: ['35-29=6', '39-6=33'] Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 7*33=231, Resulting Numbers: [231] 231,35 unequal: No Solution Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,35 unequal: No Solution Moving to Node #0,2,0 Current State: 35:[35, 3], Operations: ['7+29=36', '39-36=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,35 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,35 unequal: No Solution Exploring Operation: 35*3=105, Resulting Numbers: [105] 105,35 unequal: No Solution Moving to Node #0,2,1 Current State: 35:[36, 4], Operations: ['7+29=36', '39-35=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,35 unequal: No Solution Exploring Operation: 36/4=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,0,2 Current State: 35:[6, 32], Operations: ['35-29=6', '39-7=32'] Exploring Operation: 6*32=192, Resulting Numbers: [192] 192,35 unequal: No Solution Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,35 unequal: No Solution Exploring Operation: 6+32=38, Resulting Numbers: [38] 38,35 unequal: No Solution Moving to Node #0,2,2 Current State: 35:[39, 1], Operations: ['7+29=36', '36-35=1'] Exploring Operation: 39/1=39, Resulting Numbers: [39] 39,35 unequal: No Solution Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,35 unequal: No Solution Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[39, 1], Operations: ['35-29=6', '7-6=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,35 unequal: No Solution Exploring Operation: 39/1=39, Resulting Numbers: [39] 39,35 unequal: No Solution Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,35 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 25, 56, 19, 28 ]
46
[ "25+19=44", "56/28=2", "44+2=46" ]
Current State: 46:[25, 56, 19, 28], Operations: [] Exploring Operation: 25+19=44, Resulting Numbers: [56, 28, 44] Generated Node #2: [56, 28, 44] from Operation: 25+19=44 Current State: 46:[56, 28, 44], Operations: ['25+19=44'] Exploring Operation: 56/28=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 56/28=2 Current State: 46:[44, 2], Operations: ['25+19=44', '56/28=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[25, 56, 19, 28], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [25, 19, 2] Generated Node #0,0: 46:[25, 19, 2] Operation: 56/28=2 Exploring Operation: 19+28=47, Resulting Numbers: [25, 56, 47] Generated Node #0,1: 46:[25, 56, 47] Operation: 19+28=47 Exploring Operation: 56-28=28, Resulting Numbers: [25, 19, 28] Generated Node #0,2: 46:[25, 19, 28] Operation: 56-28=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 46:[25, 19, 2], Operations: ['56/28=2'] Exploring Operation: 25-19=6, Resulting Numbers: [2, 6] Generated Node #0,0,0: 46:[2, 6] Operation: 25-19=6 Exploring Operation: 25-2=23, Resulting Numbers: [19, 23] Generated Node #0,0,1: 46:[19, 23] Operation: 25-2=23 Exploring Operation: 25+19=44, Resulting Numbers: [2, 44] Generated Node #0,0,2: 46:[2, 44] Operation: 25+19=44 Moving to Node #0,0,2 Current State: 46:[2, 44], Operations: ['56/28=2', '25+19=44'] Exploring Operation: 2+44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[25, 56, 19, 28], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [25, 19, 2] Generated Node #0,0: 46:[25, 19, 2] Operation: 56/28=2 Moving to Node #0,0 Current State: 46:[25, 19, 2], Operations: ['56/28=2'] Exploring Operation: 25+19=44, Resulting Numbers: [2, 44] Generated Node #0,0,2: 46:[2, 44] Operation: 25+19=44 Moving to Node #0,0,2 Current State: 46:[2, 44], Operations: ['56/28=2', '25+19=44'] Exploring Operation: 2+44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 2, 20, 37, 23 ]
29
[ "2*23=46", "37-20=17", "46-17=29" ]
Current State: 29:[2, 20, 37, 23], Operations: [] Exploring Operation: 2*23=46, Resulting Numbers: [20, 37, 46] Generated Node #2: [20, 37, 46] from Operation: 2*23=46 Current State: 29:[20, 37, 46], Operations: ['2*23=46'] Exploring Operation: 37-20=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 37-20=17 Current State: 29:[46, 17], Operations: ['2*23=46', '37-20=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[2, 20, 37, 23], Operations: [] Exploring Operation: 37-2=35, Resulting Numbers: [20, 23, 35] Generated Node #0,0: 29:[20, 23, 35] Operation: 37-2=35 Exploring Operation: 2+20=22, Resulting Numbers: [37, 23, 22] Generated Node #0,1: 29:[37, 23, 22] Operation: 2+20=22 Exploring Operation: 2+23=25, Resulting Numbers: [20, 37, 25] Generated Node #0,2: 29:[20, 37, 25] Operation: 2+23=25 Exploring Operation: 2*20=40, Resulting Numbers: [37, 23, 40] Generated Node #0,3: 29:[37, 23, 40] Operation: 2*20=40 Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[20, 23, 35], Operations: ['37-2=35'] Exploring Operation: 20+23=43, Resulting Numbers: [35, 43] Generated Node #0,0,0: 29:[35, 43] Operation: 20+23=43 Exploring Operation: 35-20=15, Resulting Numbers: [23, 15] Generated Node #0,0,1: 29:[23, 15] Operation: 35-20=15 Exploring Operation: 23-20=3, Resulting Numbers: [35, 3] Generated Node #0,0,2: 29:[35, 3] Operation: 23-20=3 Exploring Operation: 35-23=12, Resulting Numbers: [20, 12] Generated Node #0,0,3: 29:[20, 12] Operation: 35-23=12 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 29:[35, 43], Operations: ['37-2=35', '20+23=43'] Exploring Operation: 43-35=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 35*43=1505, Resulting Numbers: [1505] 1505,29 unequal: No Solution Exploring Operation: 35+43=78, Resulting Numbers: [78] 78,29 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: 29:[23, 15], Operations: ['37-2=35', '35-20=15'] Exploring Operation: 23-15=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 23*15=345, Resulting Numbers: [345] 345,29 unequal: No Solution Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,29 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: 29:[20, 12], Operations: ['37-2=35', '35-23=12'] Exploring Operation: 20-12=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 20*12=240, Resulting Numbers: [240] 240,29 unequal: No Solution Exploring Operation: 20+12=32, Resulting Numbers: [32] 32,29 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: 29:[35, 3], Operations: ['37-2=35', '23-20=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,29 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,29 unequal: No Solution Exploring Operation: 35*3=105, Resulting Numbers: [105] 105,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 29:[37, 23, 22], Operations: ['2+20=22'] Exploring Operation: 37+22=59, Resulting Numbers: [23, 59] Generated Node #0,1,0: 29:[23, 59] Operation: 37+22=59 Exploring Operation: 37-22=15, Resulting Numbers: [23, 15] Generated Node #0,1,1: 29:[23, 15] Operation: 37-22=15 Exploring Operation: 37-23=14, Resulting Numbers: [22, 14] Generated Node #0,1,2: 29:[22, 14] Operation: 37-23=14 Exploring Operation: 23+22=45, Resulting Numbers: [37, 45] Generated Node #0,1,3: 29:[37, 45] Operation: 23+22=45 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 29:[23, 15], Operations: ['2+20=22', '37-22=15'] Exploring Operation: 23-15=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,29 unequal: No Solution Exploring Operation: 23*15=345, Resulting Numbers: [345] 345,29 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: 29:[22, 14], Operations: ['2+20=22', '37-23=14'] Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,29 unequal: No Solution Exploring Operation: 22*14=308, Resulting Numbers: [308] 308,29 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,29 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: 29:[37, 45], Operations: ['2+20=22', '23+22=45'] Exploring Operation: 45-37=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 37*45=1665, Resulting Numbers: [1665] 1665,29 unequal: No Solution Exploring Operation: 37+45=82, Resulting Numbers: [82] 82,29 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: 29:[23, 59], Operations: ['2+20=22', '37+22=59'] Exploring Operation: 23*59=1357, Resulting Numbers: [1357] 1357,29 unequal: No Solution Exploring Operation: 23+59=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 59-23=36, Resulting Numbers: [36] 36,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 29:[20, 37, 25], Operations: ['2+23=25'] Exploring Operation: 20+25=45, Resulting Numbers: [37, 45] Generated Node #0,2,0: 29:[37, 45] Operation: 20+25=45 Exploring Operation: 37-20=17, Resulting Numbers: [25, 17] Generated Node #0,2,1: 29:[25, 17] Operation: 37-20=17 Exploring Operation: 20+37=57, Resulting Numbers: [25, 57] Generated Node #0,2,2: 29:[25, 57] Operation: 20+37=57 Exploring Operation: 37-25=12, Resulting Numbers: [20, 12] Generated Node #0,2,3: 29:[20, 12] Operation: 37-25=12 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 29:[25, 17], Operations: ['2+23=25', '37-20=17'] Exploring Operation: 25+17=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 25-17=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 25*17=425, Resulting Numbers: [425] 425,29 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: 29:[37, 45], Operations: ['2+23=25', '20+25=45'] Exploring Operation: 37*45=1665, Resulting Numbers: [1665] 1665,29 unequal: No Solution Exploring Operation: 45-37=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 37+45=82, Resulting Numbers: [82] 82,29 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: 29:[20, 12], Operations: ['2+23=25', '37-25=12'] Exploring Operation: 20+12=32, Resulting Numbers: [32] 32,29 unequal: No Solution Exploring Operation: 20-12=8, Resulting Numbers: [8] 8,29 unequal: No Solution Exploring Operation: 20*12=240, Resulting Numbers: [240] 240,29 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: 29:[25, 57], Operations: ['2+23=25', '20+37=57'] Exploring Operation: 25+57=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 57-25=32, Resulting Numbers: [32] 32,29 unequal: No Solution Exploring Operation: 25*57=1425, Resulting Numbers: [1425] 1425,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 29:[37, 23, 40], Operations: ['2*20=40'] Exploring Operation: 40-37=3, Resulting Numbers: [23, 3] Generated Node #0,3,0: 29:[23, 3] Operation: 40-37=3 Exploring Operation: 37+23=60, Resulting Numbers: [40, 60] Generated Node #0,3,1: 29:[40, 60] Operation: 37+23=60 Exploring Operation: 40-23=17, Resulting Numbers: [37, 17] Generated Node #0,3,2: 29:[37, 17] Operation: 40-23=17 Exploring Operation: 37-23=14, Resulting Numbers: [40, 14] Generated Node #0,3,3: 29:[40, 14] Operation: 37-23=14 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 29:[37, 17], Operations: ['2*20=40', '40-23=17'] Exploring Operation: 37+17=54, Resulting Numbers: [54] 54,29 unequal: No Solution Exploring Operation: 37*17=629, Resulting Numbers: [629] 629,29 unequal: No Solution Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,29 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: 29:[40, 14], Operations: ['2*20=40', '37-23=14'] Exploring Operation: 40*14=560, Resulting Numbers: [560] 560,29 unequal: No Solution Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,29 unequal: No Solution Exploring Operation: 40+14=54, Resulting Numbers: [54] 54,29 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: 29:[23, 3], Operations: ['2*20=40', '40-37=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,29 unequal: No Solution Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,29 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,29 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: 29:[40, 60], Operations: ['2*20=40', '37+23=60'] Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,29 unequal: No Solution Exploring Operation: 40+60=100, Resulting Numbers: [100] 100,29 unequal: No Solution Exploring Operation: 40*60=2400, Resulting Numbers: [2400] 2400,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 73, 79, 57, 38 ]
13
[ "79-73=6", "57-38=19", "19-6=13" ]
Current State: 13:[73, 79, 57, 38], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [57, 38, 6] Generated Node #2: [57, 38, 6] from Operation: 79-73=6 Current State: 13:[57, 38, 6], Operations: ['79-73=6'] Exploring Operation: 57-38=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 57-38=19 Current State: 13:[6, 19], Operations: ['79-73=6', '57-38=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[73, 79, 57, 38], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [57, 38, 6] Generated Node #0,0: 13:[57, 38, 6] Operation: 79-73=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 13:[57, 38, 6], Operations: ['79-73=6'] Exploring Operation: 57-38=19, Resulting Numbers: [6, 19] Generated Node #0,0,0: 13:[6, 19] Operation: 57-38=19 Moving to Node #0,0,0 Current State: 13:[6, 19], Operations: ['79-73=6', '57-38=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Moving to Node #0 Current State: 13:[73, 79, 57, 38], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [57, 38, 6] Generated Node #0,0: 13:[57, 38, 6] Operation: 79-73=6 Moving to Node #0,0 Current State: 13:[57, 38, 6], Operations: ['79-73=6'] Exploring Operation: 57-38=19, Resulting Numbers: [6, 19] Generated Node #0,0,0: 13:[6, 19] Operation: 57-38=19 Moving to Node #0,0,0 Current State: 13:[6, 19], Operations: ['79-73=6', '57-38=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 3, 88, 61, 66 ]
90
[ "88-3=85", "66-61=5", "85+5=90" ]
Current State: 90:[3, 88, 61, 66], Operations: [] Exploring Operation: 88-3=85, Resulting Numbers: [61, 66, 85] Generated Node #2: [61, 66, 85] from Operation: 88-3=85 Current State: 90:[61, 66, 85], Operations: ['88-3=85'] Exploring Operation: 66-61=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 66-61=5 Current State: 90:[85, 5], Operations: ['88-3=85', '66-61=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[3, 88, 61, 66], Operations: [] Exploring Operation: 66/3=22, Resulting Numbers: [88, 61, 22] Generated Node #0,0: 90:[88, 61, 22] Operation: 66/3=22 Exploring Operation: 88-66=22, Resulting Numbers: [3, 61, 22] Generated Node #0,1: 90:[3, 61, 22] Operation: 88-66=22 Exploring Operation: 66-61=5, Resulting Numbers: [3, 88, 5] Generated Node #0,2: 90:[3, 88, 5] Operation: 66-61=5 Exploring Operation: 61-3=58, Resulting Numbers: [88, 66, 58] Generated Node #0,3: 90:[88, 66, 58] Operation: 61-3=58 Exploring Operation: 88-61=27, Resulting Numbers: [3, 66, 27] Generated Node #0,4: 90:[3, 66, 27] Operation: 88-61=27 Moving to Node #0,2 Current State: 90:[3, 88, 5], Operations: ['66-61=5'] Exploring Operation: 3+88=91, Resulting Numbers: [5, 91] Generated Node #0,2,0: 90:[5, 91] Operation: 3+88=91 Exploring Operation: 88+5=93, Resulting Numbers: [3, 93] Generated Node #0,2,1: 90:[3, 93] Operation: 88+5=93 Exploring Operation: 5-3=2, Resulting Numbers: [88, 2] Generated Node #0,2,2: 90:[88, 2] Operation: 5-3=2 Exploring Operation: 3+5=8, Resulting Numbers: [88, 8] Generated Node #0,2,3: 90:[88, 8] Operation: 3+5=8 Exploring Operation: 3*5=15, Resulting Numbers: [88, 15] Generated Node #0,2,4: 90:[88, 15] Operation: 3*5=15 Moving to Node #0,1 Current State: 90:[3, 61, 22], Operations: ['88-66=22'] Exploring Operation: 22-3=19, Resulting Numbers: [61, 19] Generated Node #0,1,0: 90:[61, 19] Operation: 22-3=19 Exploring Operation: 61+22=83, Resulting Numbers: [3, 83] Generated Node #0,1,1: 90:[3, 83] Operation: 61+22=83 Exploring Operation: 61-22=39, Resulting Numbers: [3, 39] Generated Node #0,1,2: 90:[3, 39] Operation: 61-22=39 Exploring Operation: 3+22=25, Resulting Numbers: [61, 25] Generated Node #0,1,3: 90:[61, 25] Operation: 3+22=25 Exploring Operation: 61-3=58, Resulting Numbers: [22, 58] Generated Node #0,1,4: 90:[22, 58] Operation: 61-3=58 Moving to Node #0,0 Current State: 90:[88, 61, 22], Operations: ['66/3=22'] Exploring Operation: 88+22=110, Resulting Numbers: [61, 110] Generated Node #0,0,0: 90:[61, 110] Operation: 88+22=110 Exploring Operation: 61+22=83, Resulting Numbers: [88, 83] Generated Node #0,0,1: 90:[88, 83] Operation: 61+22=83 Exploring Operation: 88/22=4, Resulting Numbers: [61, 4] Generated Node #0,0,2: 90:[61, 4] Operation: 88/22=4 Exploring Operation: 88-61=27, Resulting Numbers: [22, 27] Generated Node #0,0,3: 90:[22, 27] Operation: 88-61=27 Exploring Operation: 61-22=39, Resulting Numbers: [88, 39] Generated Node #0,0,4: 90:[88, 39] Operation: 61-22=39 Moving to Node #0,4 Current State: 90:[3, 66, 27], Operations: ['88-61=27'] Exploring Operation: 66-3=63, Resulting Numbers: [27, 63] Generated Node #0,4,0: 90:[27, 63] Operation: 66-3=63 Exploring Operation: 3+27=30, Resulting Numbers: [66, 30] Generated Node #0,4,1: 90:[66, 30] Operation: 3+27=30 Exploring Operation: 66/3=22, Resulting Numbers: [27, 22] Generated Node #0,4,2: 90:[27, 22] Operation: 66/3=22 Exploring Operation: 66-27=39, Resulting Numbers: [3, 39] Generated Node #0,4,3: 90:[3, 39] Operation: 66-27=39 Exploring Operation: 66+27=93, Resulting Numbers: [3, 93] Generated Node #0,4,4: 90:[3, 93] Operation: 66+27=93 Moving to Node #0,3 Current State: 90:[88, 66, 58], Operations: ['61-3=58'] Exploring Operation: 88-58=30, Resulting Numbers: [66, 30] Generated Node #0,3,0: 90:[66, 30] Operation: 88-58=30 Exploring Operation: 66-58=8, Resulting Numbers: [88, 8] Generated Node #0,3,1: 90:[88, 8] Operation: 66-58=8 Exploring Operation: 88+66=154, Resulting Numbers: [58, 154] Generated Node #0,3,2: 90:[58, 154] Operation: 88+66=154 Exploring Operation: 66+58=124, Resulting Numbers: [88, 124] Generated Node #0,3,3: 90:[88, 124] Operation: 66+58=124 Exploring Operation: 88-66=22, Resulting Numbers: [58, 22] Generated Node #0,3,4: 90:[58, 22] Operation: 88-66=22 Moving to Node #0,2,0 Current State: 90:[5, 91], Operations: ['66-61=5', '3+88=91'] Exploring Operation: 5+91=96, Resulting Numbers: [96] 96,90 unequal: No Solution Exploring Operation: 5*91=455, Resulting Numbers: [455] 455,90 unequal: No Solution Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,90 unequal: No Solution Moving to Node #0,2,4 Current State: 90:[88, 15], Operations: ['66-61=5', '3*5=15'] Exploring Operation: 88*15=1320, Resulting Numbers: [1320] 1320,90 unequal: No Solution Exploring Operation: 88+15=103, Resulting Numbers: [103] 103,90 unequal: No Solution Exploring Operation: 88-15=73, Resulting Numbers: [73] 73,90 unequal: No Solution Moving to Node #0,2,2 Current State: 90:[88, 2], Operations: ['66-61=5', '5-3=2'] Exploring Operation: 88*2=176, Resulting Numbers: [176] 176,90 unequal: No Solution Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,90 unequal: No Solution Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[3, 88, 61, 66], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [3, 88, 5] Generated Node #0,2: 90:[3, 88, 5] Operation: 66-61=5 Moving to Node #0,2 Current State: 90:[3, 88, 5], Operations: ['66-61=5'] Exploring Operation: 5-3=2, Resulting Numbers: [88, 2] Generated Node #0,2,2: 90:[88, 2] Operation: 5-3=2 Moving to Node #0,2,2 Current State: 90:[88, 2], Operations: ['66-61=5', '5-3=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
0.962674
hs_5
sum_heuristic
[ 15, 55, 76, 49 ]
85
[ "55-15=40", "76+49=125", "125-40=85" ]
Current State: 85:[15, 55, 76, 49], Operations: [] Exploring Operation: 55-15=40, Resulting Numbers: [76, 49, 40] Generated Node #2: [76, 49, 40] from Operation: 55-15=40 Current State: 85:[76, 49, 40], Operations: ['55-15=40'] Exploring Operation: 76+49=125, Resulting Numbers: [40, 125] Generated Node #3: [40, 125] from Operation: 76+49=125 Current State: 85:[40, 125], Operations: ['55-15=40', '76+49=125'] Exploring Operation: 125-40=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[15, 55, 76, 49], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [15, 76, 6] Generated Node #0,0: 85:[15, 76, 6] Operation: 55-49=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[15, 76, 6], Operations: ['55-49=6'] Exploring Operation: 76+6=82, Resulting Numbers: [15, 82] Generated Node #0,0,0: 85:[15, 82] Operation: 76+6=82 Moving to Node #0,0,0 Current State: 85:[15, 82], Operations: ['55-49=6', '76+6=82'] Exploring Operation: 15+82=97, Resulting Numbers: [97] 97,85 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
[ 39, 2, 63, 54 ]
91
[ "39*2=78", "63*78=4914", "4914/54=91" ]
Current State: 91:[39, 2, 63, 54], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [63, 54, 78] Generated Node #2: [63, 54, 78] from Operation: 39*2=78 Current State: 91:[63, 54, 78], Operations: ['39*2=78'] Exploring Operation: 63*78=4914, Resulting Numbers: [54, 4914] Generated Node #3: [54, 4914] from Operation: 63*78=4914 Current State: 91:[54, 4914], Operations: ['39*2=78', '63*78=4914'] Exploring Operation: 4914/54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[39, 2, 63, 54], Operations: [] Exploring Operation: 63-54=9, Resulting Numbers: [39, 2, 9] Generated Node #0,0: 91:[39, 2, 9] Operation: 63-54=9 Exploring Operation: 39+54=93, Resulting Numbers: [2, 63, 93] Generated Node #0,1: 91:[2, 63, 93] Operation: 39+54=93 Exploring Operation: 54-39=15, Resulting Numbers: [2, 63, 15] Generated Node #0,2: 91:[2, 63, 15] Operation: 54-39=15 Exploring Operation: 39+63=102, Resulting Numbers: [2, 54, 102] Generated Node #0,3: 91:[2, 54, 102] Operation: 39+63=102 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[39, 2, 9], Operations: ['63-54=9'] Exploring Operation: 9-2=7, Resulting Numbers: [39, 7] Generated Node #0,0,0: 91:[39, 7] Operation: 9-2=7 Exploring Operation: 39-2=37, Resulting Numbers: [9, 37] Generated Node #0,0,1: 91:[9, 37] Operation: 39-2=37 Exploring Operation: 39-9=30, Resulting Numbers: [2, 30] Generated Node #0,0,2: 91:[2, 30] Operation: 39-9=30 Exploring Operation: 39*2=78, Resulting Numbers: [9, 78] Generated Node #0,0,3: 91:[9, 78] Operation: 39*2=78 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 91:[9, 78], Operations: ['63-54=9', '39*2=78'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,91 unequal: No Solution Exploring Operation: 9+78=87, Resulting Numbers: [87] 87,91 unequal: No Solution Exploring Operation: 9*78=702, Resulting Numbers: [702] 702,91 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 #0,0,2 Current State: 91:[2, 30], Operations: ['63-54=9', '39-9=30'] Exploring Operation: 2*30=60, Resulting Numbers: [60] 60,91 unequal: No Solution Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,91 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,91 unequal: No Solution Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,91 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 #0,0,0 Current State: 91:[39, 7], Operations: ['63-54=9', '9-2=7'] Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,91 unequal: No Solution Exploring Operation: 39*7=273, Resulting Numbers: [273] 273,91 unequal: No Solution Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,91 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:[9, 37], Operations: ['63-54=9', '39-2=37'] Exploring Operation: 9*37=333, Resulting Numbers: [333] 333,91 unequal: No Solution Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,91 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,91 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 #0,1 Current State: 91:[2, 63, 93], Operations: ['39+54=93'] Exploring Operation: 2+63=65, Resulting Numbers: [93, 65] Generated Node #0,1,0: 91:[93, 65] Operation: 2+63=65 Exploring Operation: 93-63=30, Resulting Numbers: [2, 30] Generated Node #0,1,1: 91:[2, 30] Operation: 93-63=30 Exploring Operation: 93-2=91, Resulting Numbers: [63, 91] Generated Node #0,1,2: 91:[63, 91] Operation: 93-2=91 Exploring Operation: 63-2=61, Resulting Numbers: [93, 61] Generated Node #0,1,3: 91:[93, 61] Operation: 63-2=61 Moving to Node #0,1,1 Current State: 91:[2, 30], Operations: ['39+54=93', '93-63=30'] Exploring Operation: 2*30=60, Resulting Numbers: [60] 60,91 unequal: No Solution Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,91 unequal: No Solution Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,91 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,91 unequal: No Solution Moving to Node #0,1,2 Current State: 91:[63, 91], Operations: ['39+54=93', '93-2=91'] Exploring Operation: 63*91=5733, Resulting Numbers: [5733] 5733,91 unequal: No Solution Exploring Operation: 91-63=28, Resulting Numbers: [28] 28,91 unequal: No Solution Exploring Operation: 63+91=154, Resulting Numbers: [154] 154,91 unequal: No Solution Moving to Node #0,1,0 Current State: 91:[93, 65], Operations: ['39+54=93', '2+63=65'] Exploring Operation: 93+65=158, Resulting Numbers: [158] 158,91 unequal: No Solution Exploring Operation: 93-65=28, Resulting Numbers: [28] 28,91 unequal: No Solution Exploring Operation: 93*65=6045, Resulting Numbers: [6045] 6045,91 unequal: No Solution Moving to Node #0,1,3 Current State: 91:[93, 61], Operations: ['39+54=93', '63-2=61'] Exploring Operation: 93-61=32, Resulting Numbers: [32] 32,91 unequal: No Solution Exploring Operation: 93*61=5673, Resulting Numbers: [5673] 5673,91 unequal: No Solution Exploring Operation: 93+61=154, Resulting Numbers: [154] 154,91 unequal: No Solution No 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: 91:[2, 63, 15], Operations: ['54-39=15'] Exploring Operation: 15-2=13, Resulting Numbers: [63, 13] Generated Node #0,2,0: 91:[63, 13] Operation: 15-2=13 Exploring Operation: 63-2=61, Resulting Numbers: [15, 61] Generated Node #0,2,1: 91:[15, 61] Operation: 63-2=61 Exploring Operation: 63+15=78, Resulting Numbers: [2, 78] Generated Node #0,2,2: 91:[2, 78] Operation: 63+15=78 Exploring Operation: 2+63=65, Resulting Numbers: [15, 65] Generated Node #0,2,3: 91:[15, 65] Operation: 2+63=65 Moving to Node #0,2,2 Current State: 91:[2, 78], Operations: ['54-39=15', '63+15=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,91 unequal: No Solution Exploring Operation: 2*78=156, Resulting Numbers: [156] 156,91 unequal: No Solution Exploring Operation: 2+78=80, Resulting Numbers: [80] 80,91 unequal: No Solution Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,91 unequal: No Solution Moving to Node #0,2,3 Current State: 91:[15, 65], Operations: ['54-39=15', '2+63=65'] Exploring Operation: 15*65=975, Resulting Numbers: [975] 975,91 unequal: No Solution Exploring Operation: 65-15=50, Resulting Numbers: [50] 50,91 unequal: No Solution Exploring Operation: 15+65=80, Resulting Numbers: [80] 80,91 unequal: No Solution Moving to Node #0,2,0 Current State: 91:[63, 13], Operations: ['54-39=15', '15-2=13'] Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,91 unequal: No Solution Exploring Operation: 63*13=819, Resulting Numbers: [819] 819,91 unequal: No Solution Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,91 unequal: No Solution Moving to Node #0,2,1 Current State: 91:[15, 61], Operations: ['54-39=15', '63-2=61'] Exploring Operation: 61-15=46, Resulting Numbers: [46] 46,91 unequal: No Solution Exploring Operation: 15+61=76, Resulting Numbers: [76] 76,91 unequal: No Solution Exploring Operation: 15*61=915, Resulting Numbers: [915] 915,91 unequal: No Solution No 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: 91:[2, 54, 102], Operations: ['39+63=102'] Exploring Operation: 2+54=56, Resulting Numbers: [102, 56] Generated Node #0,3,0: 91:[102, 56] Operation: 2+54=56 Exploring Operation: 2*54=108, Resulting Numbers: [102, 108] Generated Node #0,3,1: 91:[102, 108] Operation: 2*54=108 Exploring Operation: 102-54=48, Resulting Numbers: [2, 48] Generated Node #0,3,2: 91:[2, 48] Operation: 102-54=48 Exploring Operation: 54/2=27, Resulting Numbers: [102, 27] Generated Node #0,3,3: 91:[102, 27] Operation: 54/2=27 Moving to Node #0,3,3 Current State: 91:[102, 27], Operations: ['39+63=102', '54/2=27'] Exploring Operation: 102*27=2754, Resulting Numbers: [2754] 2754,91 unequal: No Solution Exploring Operation: 102+27=129, Resulting Numbers: [129] 129,91 unequal: No Solution Exploring Operation: 102-27=75, Resulting Numbers: [75] 75,91 unequal: No Solution Moving to Node #0,3,1 Current State: 91:[102, 108], Operations: ['39+63=102', '2*54=108'] Exploring Operation: 102+108=210, Resulting Numbers: [210] 210,91 unequal: No Solution Exploring Operation: 102*108=11016, Resulting Numbers: [11016] 11016,91 unequal: No Solution Exploring Operation: 108-102=6, Resulting Numbers: [6] 6,91 unequal: No Solution Moving to Node #0,3,2 Current State: 91:[2, 48], Operations: ['39+63=102', '102-54=48'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,91 unequal: No Solution Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,91 unequal: No Solution Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,91 unequal: No Solution Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,91 unequal: No Solution Moving to Node #0,3,0 Current State: 91:[102, 56], Operations: ['39+63=102', '2+54=56'] Exploring Operation: 102-56=46, Resulting Numbers: [46] 46,91 unequal: No Solution Exploring Operation: 102*56=5712, Resulting Numbers: [5712] 5712,91 unequal: No Solution Exploring Operation: 102+56=158, Resulting Numbers: [158] 158,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 4, 40, 83, 28 ]
58
[ "83*28=2324", "2324-4=2320", "2320/40=58" ]
Current State: 58:[4, 40, 83, 28], Operations: [] Exploring Operation: 83*28=2324, Resulting Numbers: [4, 40, 2324] Generated Node #2: [4, 40, 2324] from Operation: 83*28=2324 Current State: 58:[4, 40, 2324], Operations: ['83*28=2324'] Exploring Operation: 2324-4=2320, Resulting Numbers: [40, 2320] Generated Node #3: [40, 2320] from Operation: 2324-4=2320 Current State: 58:[40, 2320], Operations: ['83*28=2324', '2324-4=2320'] Exploring Operation: 2320/40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[4, 40, 83, 28], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [83, 28, 36] Generated Node #0,0: 58:[83, 28, 36] Operation: 40-4=36 Exploring Operation: 83-40=43, Resulting Numbers: [4, 28, 43] Generated Node #0,1: 58:[4, 28, 43] Operation: 83-40=43 Exploring Operation: 83-28=55, Resulting Numbers: [4, 40, 55] Generated Node #0,2: 58:[4, 40, 55] Operation: 83-28=55 Start Sub Search at level 1: Moving to Node #0,2 Current State: 58:[4, 40, 55], Operations: ['83-28=55'] Exploring Operation: 4+55=59, Resulting Numbers: [40, 59] Generated Node #0,2,0: 58:[40, 59] Operation: 4+55=59 Exploring Operation: 40-4=36, Resulting Numbers: [55, 36] Generated Node #0,2,1: 58:[55, 36] Operation: 40-4=36 Exploring Operation: 40/4=10, Resulting Numbers: [55, 10] Generated Node #0,2,2: 58:[55, 10] Operation: 40/4=10 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 58:[55, 36], Operations: ['83-28=55', '40-4=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,58 unequal: No Solution Exploring Operation: 55-36=19, Resulting Numbers: [19] 19,58 unequal: No Solution Exploring Operation: 55*36=1980, Resulting Numbers: [1980] 1980,58 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:[55, 10], Operations: ['83-28=55', '40/4=10'] Exploring Operation: 55-10=45, Resulting Numbers: [45] 45,58 unequal: No Solution Exploring Operation: 55*10=550, Resulting Numbers: [550] 550,58 unequal: No Solution Exploring Operation: 55+10=65, Resulting Numbers: [65] 65,58 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:[40, 59], Operations: ['83-28=55', '4+55=59'] Exploring Operation: 59-40=19, Resulting Numbers: [19] 19,58 unequal: No Solution Exploring Operation: 40+59=99, Resulting Numbers: [99] 99,58 unequal: No Solution Exploring Operation: 40*59=2360, Resulting Numbers: [2360] 2360,58 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 #0,1 Current State: 58:[4, 28, 43], Operations: ['83-40=43'] Exploring Operation: 4+43=47, Resulting Numbers: [28, 47] Generated Node #0,1,0: 58:[28, 47] Operation: 4+43=47 Exploring Operation: 43-4=39, Resulting Numbers: [28, 39] Generated Node #0,1,1: 58:[28, 39] Operation: 43-4=39 Exploring Operation: 28+43=71, Resulting Numbers: [4, 71] Generated Node #0,1,2: 58:[4, 71] Operation: 28+43=71 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 58:[28, 39], Operations: ['83-40=43', '43-4=39'] Exploring Operation: 28*39=1092, Resulting Numbers: [1092] 1092,58 unequal: No Solution Exploring Operation: 28+39=67, Resulting Numbers: [67] 67,58 unequal: No Solution Exploring Operation: 39-28=11, Resulting Numbers: [11] 11,58 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:[28, 47], Operations: ['83-40=43', '4+43=47'] Exploring Operation: 47-28=19, Resulting Numbers: [19] 19,58 unequal: No Solution Exploring Operation: 28+47=75, Resulting Numbers: [75] 75,58 unequal: No Solution Exploring Operation: 28*47=1316, Resulting Numbers: [1316] 1316,58 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:[4, 71], Operations: ['83-40=43', '28+43=71'] Exploring Operation: 4*71=284, Resulting Numbers: [284] 284,58 unequal: No Solution Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,58 unequal: No Solution Exploring Operation: 4+71=75, Resulting Numbers: [75] 75,58 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:[83, 28, 36], Operations: ['40-4=36'] Exploring Operation: 83-28=55, Resulting Numbers: [36, 55] Generated Node #0,0,0: 58:[36, 55] Operation: 83-28=55 Exploring Operation: 83-36=47, Resulting Numbers: [28, 47] Generated Node #0,0,1: 58:[28, 47] Operation: 83-36=47 Exploring Operation: 28+36=64, Resulting Numbers: [83, 64] Generated Node #0,0,2: 58:[83, 64] Operation: 28+36=64 Moving to Node #0,0,0 Current State: 58:[36, 55], Operations: ['40-4=36', '83-28=55'] Exploring Operation: 55-36=19, Resulting Numbers: [19] 19,58 unequal: No Solution Exploring Operation: 36*55=1980, Resulting Numbers: [1980] 1980,58 unequal: No Solution Exploring Operation: 36+55=91, Resulting Numbers: [91] 91,58 unequal: No Solution Moving to Node #0,0,1 Current State: 58:[28, 47], Operations: ['40-4=36', '83-36=47'] Exploring Operation: 28*47=1316, Resulting Numbers: [1316] 1316,58 unequal: No Solution Exploring Operation: 28+47=75, Resulting Numbers: [75] 75,58 unequal: No Solution Exploring Operation: 47-28=19, Resulting Numbers: [19] 19,58 unequal: No Solution Moving to Node #0,0,2 Current State: 58:[83, 64], Operations: ['40-4=36', '28+36=64'] Exploring Operation: 83+64=147, Resulting Numbers: [147] 147,58 unequal: No Solution Exploring Operation: 83*64=5312, Resulting Numbers: [5312] 5312,58 unequal: No Solution Exploring Operation: 83-64=19, Resulting Numbers: [19] 19,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 65, 91, 3, 42 ]
66
[ "65+91=156", "42+156=198", "198/3=66" ]
Current State: 66:[65, 91, 3, 42], Operations: [] Exploring Operation: 65+91=156, Resulting Numbers: [3, 42, 156] Generated Node #2: [3, 42, 156] from Operation: 65+91=156 Current State: 66:[3, 42, 156], Operations: ['65+91=156'] Exploring Operation: 42+156=198, Resulting Numbers: [3, 198] Generated Node #3: [3, 198] from Operation: 42+156=198 Current State: 66:[3, 198], Operations: ['65+91=156', '42+156=198'] Exploring Operation: 198/3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[65, 91, 3, 42], Operations: [] Exploring Operation: 91-65=26, Resulting Numbers: [3, 42, 26] Generated Node #0,0: 66:[3, 42, 26] Operation: 91-65=26 Exploring Operation: 91-42=49, Resulting Numbers: [65, 3, 49] Generated Node #0,1: 66:[65, 3, 49] Operation: 91-42=49 Moving to Node #0,0 Current State: 66:[3, 42, 26], Operations: ['91-65=26'] Exploring Operation: 42+26=68, Resulting Numbers: [3, 68] Generated Node #0,0,0: 66:[3, 68] Operation: 42+26=68 Exploring Operation: 42-26=16, Resulting Numbers: [3, 16] Generated Node #0,0,1: 66:[3, 16] Operation: 42-26=16 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 66:[3, 68], Operations: ['91-65=26', '42+26=68'] Exploring Operation: 3+68=71, Resulting Numbers: [71] 71,66 unequal: No Solution Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 66:[3, 16], Operations: ['91-65=26', '42-26=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,66 unequal: No Solution Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,66 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: 66:[65, 3, 49], Operations: ['91-42=49'] Exploring Operation: 49-3=46, Resulting Numbers: [65, 46] Generated Node #0,1,0: 66:[65, 46] Operation: 49-3=46 Exploring Operation: 65-49=16, Resulting Numbers: [3, 16] Generated Node #0,1,1: 66:[3, 16] Operation: 65-49=16 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 66:[3, 16], Operations: ['91-42=49', '65-49=16'] Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,66 unequal: No Solution Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 66:[65, 46], Operations: ['91-42=49', '49-3=46'] Exploring Operation: 65-46=19, Resulting Numbers: [19] 19,66 unequal: No Solution Exploring Operation: 65+46=111, Resulting Numbers: [111] 111,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 4, 3, 84, 34 ]
24
[ "84/3=28", "34-28=6", "4*6=24" ]
Current State: 24:[4, 3, 84, 34], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [4, 34, 28] Generated Node #2: [4, 34, 28] from Operation: 84/3=28 Current State: 24:[4, 34, 28], Operations: ['84/3=28'] Exploring Operation: 34-28=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 34-28=6 Current State: 24:[4, 6], Operations: ['84/3=28', '34-28=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[4, 3, 84, 34], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [4, 34, 28] Generated Node #0,0: 24:[4, 34, 28] Operation: 84/3=28 Exploring Operation: 84/4=21, Resulting Numbers: [3, 34, 21] Generated Node #0,1: 24:[3, 34, 21] Operation: 84/4=21 Exploring Operation: 84-34=50, Resulting Numbers: [4, 3, 50] Generated Node #0,2: 24:[4, 3, 50] Operation: 84-34=50 Moving to Node #0,1 Current State: 24:[3, 34, 21], Operations: ['84/4=21'] Exploring Operation: 34-3=31, Resulting Numbers: [21, 31] Generated Node #0,1,0: 24:[21, 31] Operation: 34-3=31 Exploring Operation: 3+21=24, Resulting Numbers: [34, 24] Generated Node #0,1,1: 24:[34, 24] Operation: 3+21=24 Exploring Operation: 34-21=13, Resulting Numbers: [3, 13] Generated Node #0,1,2: 24:[3, 13] Operation: 34-21=13 Moving to Node #0,0 Current State: 24:[4, 34, 28], Operations: ['84/3=28'] Exploring Operation: 34-4=30, Resulting Numbers: [28, 30] Generated Node #0,0,0: 24:[28, 30] Operation: 34-4=30 Exploring Operation: 34-28=6, Resulting Numbers: [4, 6] Generated Node #0,0,1: 24:[4, 6] Operation: 34-28=6 Exploring Operation: 28-4=24, Resulting Numbers: [34, 24] Generated Node #0,0,2: 24:[34, 24] Operation: 28-4=24 Moving to Node #0,2 Current State: 24:[4, 3, 50], Operations: ['84-34=50'] Exploring Operation: 4*3=12, Resulting Numbers: [50, 12] Generated Node #0,2,0: 24:[50, 12] Operation: 4*3=12 Exploring Operation: 50-3=47, Resulting Numbers: [4, 47] Generated Node #0,2,1: 24:[4, 47] Operation: 50-3=47 Exploring Operation: 50-4=46, Resulting Numbers: [3, 46] Generated Node #0,2,2: 24:[3, 46] Operation: 50-4=46 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 24:[3, 46], Operations: ['84-34=50', '50-4=46'] Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,24 unequal: No Solution Exploring Operation: 3*46=138, Resulting Numbers: [138] 138,24 unequal: No Solution Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 24:[4, 47], Operations: ['84-34=50', '50-3=47'] Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,24 unequal: No Solution Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,24 unequal: No Solution Exploring Operation: 4*47=188, Resulting Numbers: [188] 188,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 24:[50, 12], Operations: ['84-34=50', '4*3=12'] Exploring Operation: 50*12=600, Resulting Numbers: [600] 600,24 unequal: No Solution Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,24 unequal: No Solution Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,24 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: 24:[4, 6], Operations: ['84/3=28', '34-28=6'] Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,24 unequal: No Solution Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[4, 3, 84, 34], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [4, 34, 28] Generated Node #0,0: 24:[4, 34, 28] Operation: 84/3=28 Moving to Node #0,0 Current State: 24:[4, 34, 28], Operations: ['84/3=28'] Exploring Operation: 34-28=6, Resulting Numbers: [4, 6] Generated Node #0,0,1: 24:[4, 6] Operation: 34-28=6 Moving to Node #0,0,1 Current State: 24:[4, 6], Operations: ['84/3=28', '34-28=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
0.976563
hs_3
mult_heuristic
[ 34, 68, 31, 3 ]
65
[ "34+68=102", "102/3=34", "31+34=65" ]
Current State: 65:[34, 68, 31, 3], Operations: [] Exploring Operation: 34+68=102, Resulting Numbers: [31, 3, 102] Generated Node #2: [31, 3, 102] from Operation: 34+68=102 Current State: 65:[31, 3, 102], Operations: ['34+68=102'] Exploring Operation: 102/3=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 102/3=34 Current State: 65:[31, 34], Operations: ['34+68=102', '102/3=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
Current State: 65:[34, 68, 31, 3], Operations: [] Exploring Operation: 34-3=31, Resulting Numbers: [68, 31, 31] Generated Node #0,0: 65:[68, 31, 31] Operation: 34-3=31 Exploring Operation: 68/34=2, Resulting Numbers: [31, 3, 2] Generated Node #0,1: 65:[31, 3, 2] Operation: 68/34=2 Exploring Operation: 34+31=65, Resulting Numbers: [68, 3, 65] Generated Node #0,2: 65:[68, 3, 65] Operation: 34+31=65 Exploring Operation: 34-31=3, Resulting Numbers: [68, 3, 3] Generated Node #0,3: 65:[68, 3, 3] Operation: 34-31=3 Moving to Node #0,2 Current State: 65:[68, 3, 65], Operations: ['34+31=65'] Exploring Operation: 3+65=68, Resulting Numbers: [68, 68] Generated Node #0,2,0: 65:[68, 68] Operation: 3+65=68 Exploring Operation: 68-65=3, Resulting Numbers: [3, 3] Generated Node #0,2,1: 65:[3, 3] Operation: 68-65=3 Exploring Operation: 68+3=71, Resulting Numbers: [65, 71] Generated Node #0,2,2: 65:[65, 71] Operation: 68+3=71 Exploring Operation: 68-3=65, Resulting Numbers: [65, 65] Generated Node #0,2,3: 65:[65, 65] Operation: 68-3=65 Moving to Node #0,3 Current State: 65:[68, 3, 3], Operations: ['34-31=3'] Exploring Operation: 68-3=65, Resulting Numbers: [3, 65] Generated Node #0,3,0: 65:[3, 65] Operation: 68-3=65 Exploring Operation: 3+3=6, Resulting Numbers: [68, 6] Generated Node #0,3,1: 65:[68, 6] Operation: 3+3=6 Exploring Operation: 3*3=9, Resulting Numbers: [68, 9] Generated Node #0,3,2: 65:[68, 9] Operation: 3*3=9 Exploring Operation: 68-3=65, Resulting Numbers: [3, 65] Generated Node #0,3,3: 65:[3, 65] Operation: 68-3=65 Moving to Node #0,1 Current State: 65:[31, 3, 2], Operations: ['68/34=2'] Exploring Operation: 31*2=62, Resulting Numbers: [3, 62] Generated Node #0,1,0: 65:[3, 62] Operation: 31*2=62 Exploring Operation: 3+2=5, Resulting Numbers: [31, 5] Generated Node #0,1,1: 65:[31, 5] Operation: 3+2=5 Exploring Operation: 31-3=28, Resulting Numbers: [2, 28] Generated Node #0,1,2: 65:[2, 28] Operation: 31-3=28 Exploring Operation: 31-2=29, Resulting Numbers: [3, 29] Generated Node #0,1,3: 65:[3, 29] Operation: 31-2=29 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 65:[3, 62], Operations: ['68/34=2', '31*2=62'] Exploring Operation: 3*62=186, Resulting Numbers: [186] 186,65 unequal: No Solution Exploring Operation: 3+62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Moving to Node #0 Current State: 65:[34, 68, 31, 3], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [31, 3, 2] Generated Node #0,1: 65:[31, 3, 2] Operation: 68/34=2 Moving to Node #0,1 Current State: 65:[31, 3, 2], Operations: ['68/34=2'] Exploring Operation: 31*2=62, Resulting Numbers: [3, 62] Generated Node #0,1,0: 65:[3, 62] Operation: 31*2=62 Moving to Node #0,1,0 Current State: 65:[3, 62], Operations: ['68/34=2', '31*2=62'] Exploring Operation: 3+62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_4
sum_heuristic
[ 37, 14, 90, 84 ]
52
[ "14*90=1260", "1260/84=15", "37+15=52" ]
Current State: 52:[37, 14, 90, 84], Operations: [] Exploring Operation: 14*90=1260, Resulting Numbers: [37, 84, 1260] Generated Node #2: [37, 84, 1260] from Operation: 14*90=1260 Current State: 52:[37, 84, 1260], Operations: ['14*90=1260'] Exploring Operation: 1260/84=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 1260/84=15 Current State: 52:[37, 15], Operations: ['14*90=1260', '1260/84=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[37, 14, 90, 84], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [37, 14, 6] Generated Node #0,0: 52:[37, 14, 6] Operation: 90-84=6 Exploring Operation: 90-14=76, Resulting Numbers: [37, 84, 76] Generated Node #0,1: 52:[37, 84, 76] Operation: 90-14=76 Exploring Operation: 84/14=6, Resulting Numbers: [37, 90, 6] Generated Node #0,2: 52:[37, 90, 6] Operation: 84/14=6 Exploring Operation: 84-37=47, Resulting Numbers: [14, 90, 47] Generated Node #0,3: 52:[14, 90, 47] Operation: 84-37=47 Exploring Operation: 90-37=53, Resulting Numbers: [14, 84, 53] Generated Node #0,4: 52:[14, 84, 53] Operation: 90-37=53 Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[37, 14, 6], Operations: ['90-84=6'] Exploring Operation: 14-6=8, Resulting Numbers: [37, 8] Generated Node #0,0,0: 52:[37, 8] Operation: 14-6=8 Exploring Operation: 37-14=23, Resulting Numbers: [6, 23] Generated Node #0,0,1: 52:[6, 23] Operation: 37-14=23 Exploring Operation: 37-6=31, Resulting Numbers: [14, 31] Generated Node #0,0,2: 52:[14, 31] Operation: 37-6=31 Exploring Operation: 37+14=51, Resulting Numbers: [6, 51] Generated Node #0,0,3: 52:[6, 51] Operation: 37+14=51 Exploring Operation: 37+6=43, Resulting Numbers: [14, 43] Generated Node #0,0,4: 52:[14, 43] Operation: 37+6=43 Moving to Node #0,0,3 Current State: 52:[6, 51], Operations: ['90-84=6', '37+14=51'] Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,52 unequal: No Solution Exploring Operation: 6*51=306, Resulting Numbers: [306] 306,52 unequal: No Solution Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,52 unequal: No Solution Moving to Node #0,0,1 Current State: 52:[6, 23], Operations: ['90-84=6', '37-14=23'] Exploring Operation: 6+23=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 6*23=138, Resulting Numbers: [138] 138,52 unequal: No Solution Moving to Node #0,0,2 Current State: 52:[14, 31], Operations: ['90-84=6', '37-6=31'] Exploring Operation: 14*31=434, Resulting Numbers: [434] 434,52 unequal: No Solution Exploring Operation: 14+31=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,52 unequal: No Solution Moving to Node #0,0,4 Current State: 52:[14, 43], Operations: ['90-84=6', '37+6=43'] Exploring Operation: 14*43=602, Resulting Numbers: [602] 602,52 unequal: No Solution Exploring Operation: 43-14=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 14+43=57, Resulting Numbers: [57] 57,52 unequal: No Solution Moving to Node #0,0,0 Current State: 52:[37, 8], Operations: ['90-84=6', '14-6=8'] Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 37*8=296, Resulting Numbers: [296] 296,52 unequal: No Solution Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,52 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 Current State: 52:[14, 84, 53], Operations: ['90-37=53'] Exploring Operation: 84-14=70, Resulting Numbers: [53, 70] Generated Node #0,4,0: 52:[53, 70] Operation: 84-14=70 Exploring Operation: 53-14=39, Resulting Numbers: [84, 39] Generated Node #0,4,1: 52:[84, 39] Operation: 53-14=39 Exploring Operation: 84/14=6, Resulting Numbers: [53, 6] Generated Node #0,4,2: 52:[53, 6] Operation: 84/14=6 Exploring Operation: 14+84=98, Resulting Numbers: [53, 98] Generated Node #0,4,3: 52:[53, 98] Operation: 14+84=98 Exploring Operation: 84-53=31, Resulting Numbers: [14, 31] Generated Node #0,4,4: 52:[14, 31] Operation: 84-53=31 Moving to Node #0,4,2 Current State: 52:[53, 6], Operations: ['90-37=53', '84/14=6'] Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,52 unequal: No Solution Exploring Operation: 53*6=318, Resulting Numbers: [318] 318,52 unequal: No Solution Exploring Operation: 53+6=59, Resulting Numbers: [59] 59,52 unequal: No Solution Moving to Node #0,4,4 Current State: 52:[14, 31], Operations: ['90-37=53', '84-53=31'] Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 14+31=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 14*31=434, Resulting Numbers: [434] 434,52 unequal: No Solution Moving to Node #0,4,0 Current State: 52:[53, 70], Operations: ['90-37=53', '84-14=70'] Exploring Operation: 70-53=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 53*70=3710, Resulting Numbers: [3710] 3710,52 unequal: No Solution Exploring Operation: 53+70=123, Resulting Numbers: [123] 123,52 unequal: No Solution Moving to Node #0,4,1 Current State: 52:[84, 39], Operations: ['90-37=53', '53-14=39'] Exploring Operation: 84-39=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 84*39=3276, Resulting Numbers: [3276] 3276,52 unequal: No Solution Exploring Operation: 84+39=123, Resulting Numbers: [123] 123,52 unequal: No Solution Moving to Node #0,4,3 Current State: 52:[53, 98], Operations: ['90-37=53', '14+84=98'] Exploring Operation: 98-53=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 53*98=5194, Resulting Numbers: [5194] 5194,52 unequal: No Solution Exploring Operation: 53+98=151, Resulting Numbers: [151] 151,52 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 #0,3 Current State: 52:[14, 90, 47], Operations: ['84-37=47'] Exploring Operation: 90-14=76, Resulting Numbers: [47, 76] Generated Node #0,3,0: 52:[47, 76] Operation: 90-14=76 Exploring Operation: 90-47=43, Resulting Numbers: [14, 43] Generated Node #0,3,1: 52:[14, 43] Operation: 90-47=43 Exploring Operation: 14+90=104, Resulting Numbers: [47, 104] Generated Node #0,3,2: 52:[47, 104] Operation: 14+90=104 Exploring Operation: 47-14=33, Resulting Numbers: [90, 33] Generated Node #0,3,3: 52:[90, 33] Operation: 47-14=33 Exploring Operation: 14+47=61, Resulting Numbers: [90, 61] Generated Node #0,3,4: 52:[90, 61] Operation: 14+47=61 Moving to Node #0,3,1 Current State: 52:[14, 43], Operations: ['84-37=47', '90-47=43'] Exploring Operation: 14*43=602, Resulting Numbers: [602] 602,52 unequal: No Solution Exploring Operation: 14+43=57, Resulting Numbers: [57] 57,52 unequal: No Solution Exploring Operation: 43-14=29, Resulting Numbers: [29] 29,52 unequal: No Solution Moving to Node #0,3,0 Current State: 52:[47, 76], Operations: ['84-37=47', '90-14=76'] Exploring Operation: 76-47=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 47+76=123, Resulting Numbers: [123] 123,52 unequal: No Solution Exploring Operation: 47*76=3572, Resulting Numbers: [3572] 3572,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[90, 33], Operations: ['84-37=47', '47-14=33'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,52 unequal: No Solution Exploring Operation: 90*33=2970, Resulting Numbers: [2970] 2970,52 unequal: No Solution Exploring Operation: 90+33=123, Resulting Numbers: [123] 123,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[90, 61], Operations: ['84-37=47', '14+47=61'] Exploring Operation: 90*61=5490, Resulting Numbers: [5490] 5490,52 unequal: No Solution Exploring Operation: 90-61=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 90+61=151, Resulting Numbers: [151] 151,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[47, 104], Operations: ['84-37=47', '14+90=104'] Exploring Operation: 104-47=57, Resulting Numbers: [57] 57,52 unequal: No Solution Exploring Operation: 47+104=151, Resulting Numbers: [151] 151,52 unequal: No Solution Exploring Operation: 47*104=4888, Resulting Numbers: [4888] 4888,52 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 #0,2 Current State: 52:[37, 90, 6], Operations: ['84/14=6'] Exploring Operation: 90-37=53, Resulting Numbers: [6, 53] Generated Node #0,2,0: 52:[6, 53] Operation: 90-37=53 Exploring Operation: 37-6=31, Resulting Numbers: [90, 31] Generated Node #0,2,1: 52:[90, 31] Operation: 37-6=31 Exploring Operation: 37+6=43, Resulting Numbers: [90, 43] Generated Node #0,2,2: 52:[90, 43] Operation: 37+6=43 Exploring Operation: 90-6=84, Resulting Numbers: [37, 84] Generated Node #0,2,3: 52:[37, 84] Operation: 90-6=84 Exploring Operation: 90/6=15, Resulting Numbers: [37, 15] Generated Node #0,2,4: 52:[37, 15] Operation: 90/6=15 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 52:[6, 53], Operations: ['84/14=6', '90-37=53'] Exploring Operation: 6*53=318, Resulting Numbers: [318] 318,52 unequal: No Solution Exploring Operation: 6+53=59, Resulting Numbers: [59] 59,52 unequal: No Solution Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,52 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: 52:[37, 15], Operations: ['84/14=6', '90/6=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[37, 14, 90, 84], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [37, 90, 6] Generated Node #0,2: 52:[37, 90, 6] Operation: 84/14=6 Moving to Node #0,2 Current State: 52:[37, 90, 6], Operations: ['84/14=6'] Exploring Operation: 90/6=15, Resulting Numbers: [37, 15] Generated Node #0,2,4: 52:[37, 15] Operation: 90/6=15 Moving to Node #0,2,4 Current State: 52:[37, 15], Operations: ['84/14=6', '90/6=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.932292
hs_5
sum_heuristic
[ 61, 26, 50, 2 ]
17
[ "61-26=35", "50+2=52", "52-35=17" ]
Current State: 17:[61, 26, 50, 2], Operations: [] Exploring Operation: 61-26=35, Resulting Numbers: [50, 2, 35] Generated Node #2: [50, 2, 35] from Operation: 61-26=35 Current State: 17:[50, 2, 35], Operations: ['61-26=35'] Exploring Operation: 50+2=52, Resulting Numbers: [35, 52] Generated Node #3: [35, 52] from Operation: 50+2=52 Current State: 17:[35, 52], Operations: ['61-26=35', '50+2=52'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[61, 26, 50, 2], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [26, 2, 11] Generated Node #0,0: 17:[26, 2, 11] Operation: 61-50=11 Exploring Operation: 50/2=25, Resulting Numbers: [61, 26, 25] Generated Node #0,1: 17:[61, 26, 25] Operation: 50/2=25 Moving to Node #0,0 Current State: 17:[26, 2, 11], Operations: ['61-50=11'] Exploring Operation: 26/2=13, Resulting Numbers: [11, 13] Generated Node #0,0,0: 17:[11, 13] Operation: 26/2=13 Exploring Operation: 26-2=24, Resulting Numbers: [11, 24] Generated Node #0,0,1: 17:[11, 24] Operation: 26-2=24 Moving to Node #0,1 Current State: 17:[61, 26, 25], Operations: ['50/2=25'] Exploring Operation: 61-25=36, Resulting Numbers: [26, 36] Generated Node #0,1,0: 17:[26, 36] Operation: 61-25=36 Exploring Operation: 61-26=35, Resulting Numbers: [25, 35] Generated Node #0,1,1: 17:[25, 35] Operation: 61-26=35 Moving to Node #0,0,0 Current State: 17:[11, 13], Operations: ['61-50=11', '26/2=13'] Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,17 unequal: No Solution Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,17 unequal: No Solution Moving to Node #0,0,1 Current State: 17:[11, 24], Operations: ['61-50=11', '26-2=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,17 unequal: No Solution Exploring Operation: 11+24=35, Resulting Numbers: [35] 35,17 unequal: No Solution Moving to Node #0,1,1 Current State: 17:[25, 35], Operations: ['50/2=25', '61-26=35'] Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,17 unequal: No Solution Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,17 unequal: No Solution Moving to Node #0,1,0 Current State: 17:[26, 36], Operations: ['50/2=25', '61-25=36'] Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,17 unequal: No Solution Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,17 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 67, 6, 88, 90 ]
79
[ "90-88=2", "6*2=12", "67+12=79" ]
Current State: 79:[67, 6, 88, 90], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [67, 6, 2] Generated Node #2: [67, 6, 2] from Operation: 90-88=2 Current State: 79:[67, 6, 2], Operations: ['90-88=2'] Exploring Operation: 6*2=12, Resulting Numbers: [67, 12] Generated Node #3: [67, 12] from Operation: 6*2=12 Current State: 79:[67, 12], Operations: ['90-88=2', '6*2=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[67, 6, 88, 90], Operations: [] Exploring Operation: 67+6=73, Resulting Numbers: [88, 90, 73] Generated Node #0,0: 79:[88, 90, 73] Operation: 67+6=73 Exploring Operation: 88-6=82, Resulting Numbers: [67, 90, 82] Generated Node #0,1: 79:[67, 90, 82] Operation: 88-6=82 Exploring Operation: 90-6=84, Resulting Numbers: [67, 88, 84] Generated Node #0,2: 79:[67, 88, 84] Operation: 90-6=84 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[88, 90, 73], Operations: ['67+6=73'] Exploring Operation: 88-73=15, Resulting Numbers: [90, 15] Generated Node #0,0,0: 79:[90, 15] Operation: 88-73=15 Exploring Operation: 90-73=17, Resulting Numbers: [88, 17] Generated Node #0,0,1: 79:[88, 17] Operation: 90-73=17 Exploring Operation: 90-88=2, Resulting Numbers: [73, 2] Generated Node #0,0,2: 79:[73, 2] Operation: 90-88=2 Moving to Node #0,0,1 Current State: 79:[88, 17], Operations: ['67+6=73', '90-73=17'] Exploring Operation: 88*17=1496, Resulting Numbers: [1496] 1496,79 unequal: No Solution Exploring Operation: 88-17=71, Resulting Numbers: [71] 71,79 unequal: No Solution Exploring Operation: 88+17=105, Resulting Numbers: [105] 105,79 unequal: No Solution Moving to Node #0,0,0 Current State: 79:[90, 15], Operations: ['67+6=73', '88-73=15'] Exploring Operation: 90/15=6, Resulting Numbers: [6] 6,79 unequal: No Solution Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,79 unequal: No Solution Exploring Operation: 90+15=105, Resulting Numbers: [105] 105,79 unequal: No Solution Moving to Node #0,0,2 Current State: 79:[73, 2], Operations: ['67+6=73', '90-88=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,79 unequal: No Solution Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,79 unequal: No Solution Exploring Operation: 73*2=146, Resulting Numbers: [146] 146,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 79:[67, 90, 82], Operations: ['88-6=82'] Exploring Operation: 67+90=157, Resulting Numbers: [82, 157] Generated Node #0,1,0: 79:[82, 157] Operation: 67+90=157 Exploring Operation: 82-67=15, Resulting Numbers: [90, 15] Generated Node #0,1,1: 79:[90, 15] Operation: 82-67=15 Exploring Operation: 90-67=23, Resulting Numbers: [82, 23] Generated Node #0,1,2: 79:[82, 23] Operation: 90-67=23 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 79:[82, 23], Operations: ['88-6=82', '90-67=23'] Exploring Operation: 82*23=1886, Resulting Numbers: [1886] 1886,79 unequal: No Solution Exploring Operation: 82-23=59, Resulting Numbers: [59] 59,79 unequal: No Solution Exploring Operation: 82+23=105, Resulting Numbers: [105] 105,79 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 #0,1,1 Current State: 79:[90, 15], Operations: ['88-6=82', '82-67=15'] Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,79 unequal: No Solution Exploring Operation: 90/15=6, Resulting Numbers: [6] 6,79 unequal: No Solution Exploring Operation: 90+15=105, Resulting Numbers: [105] 105,79 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 #0,1,0 Current State: 79:[82, 157], Operations: ['88-6=82', '67+90=157'] Exploring Operation: 157-82=75, Resulting Numbers: [75] 75,79 unequal: No Solution Exploring Operation: 82*157=12874, Resulting Numbers: [12874] 12874,79 unequal: No Solution Exploring Operation: 82+157=239, Resulting Numbers: [239] 239,79 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: 79:[67, 88, 84], Operations: ['90-6=84'] Exploring Operation: 88-67=21, Resulting Numbers: [84, 21] Generated Node #0,2,0: 79:[84, 21] Operation: 88-67=21 Exploring Operation: 67+88=155, Resulting Numbers: [84, 155] Generated Node #0,2,1: 79:[84, 155] Operation: 67+88=155 Exploring Operation: 84-67=17, Resulting Numbers: [88, 17] Generated Node #0,2,2: 79:[88, 17] Operation: 84-67=17 Moving to Node #0,2,0 Current State: 79:[84, 21], Operations: ['90-6=84', '88-67=21'] Exploring Operation: 84-21=63, Resulting Numbers: [63] 63,79 unequal: No Solution Exploring Operation: 84+21=105, Resulting Numbers: [105] 105,79 unequal: No Solution Exploring Operation: 84/21=4, Resulting Numbers: [4] 4,79 unequal: No Solution Moving to Node #0,2,2 Current State: 79:[88, 17], Operations: ['90-6=84', '84-67=17'] Exploring Operation: 88+17=105, Resulting Numbers: [105] 105,79 unequal: No Solution Exploring Operation: 88-17=71, Resulting Numbers: [71] 71,79 unequal: No Solution Exploring Operation: 88*17=1496, Resulting Numbers: [1496] 1496,79 unequal: No Solution Moving to Node #0,2,1 Current State: 79:[84, 155], Operations: ['90-6=84', '67+88=155'] Exploring Operation: 84*155=13020, Resulting Numbers: [13020] 13020,79 unequal: No Solution Exploring Operation: 155-84=71, Resulting Numbers: [71] 71,79 unequal: No Solution Exploring Operation: 84+155=239, Resulting Numbers: [239] 239,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 27, 44, 54, 26 ]
99
[ "27+44=71", "54-26=28", "71+28=99" ]
Current State: 99:[27, 44, 54, 26], Operations: [] Exploring Operation: 27+44=71, Resulting Numbers: [54, 26, 71] Generated Node #2: [54, 26, 71] from Operation: 27+44=71 Current State: 99:[54, 26, 71], Operations: ['27+44=71'] Exploring Operation: 54-26=28, Resulting Numbers: [71, 28] Generated Node #3: [71, 28] from Operation: 54-26=28 Current State: 99:[71, 28], Operations: ['27+44=71', '54-26=28'] Exploring Operation: 71+28=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[27, 44, 54, 26], Operations: [] Exploring Operation: 44+54=98, Resulting Numbers: [27, 26, 98] Generated Node #0,0: 99:[27, 26, 98] Operation: 44+54=98 Moving to Node #0,0 Current State: 99:[27, 26, 98], Operations: ['44+54=98'] Exploring Operation: 27-26=1, Resulting Numbers: [98, 1] Generated Node #0,0,0: 99:[98, 1] Operation: 27-26=1 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 99:[98, 1], Operations: ['44+54=98', '27-26=1'] Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[27, 44, 54, 26], Operations: [] Exploring Operation: 44+54=98, Resulting Numbers: [27, 26, 98] Generated Node #0,0: 99:[27, 26, 98] Operation: 44+54=98 Moving to Node #0,0 Current State: 99:[27, 26, 98], Operations: ['44+54=98'] Exploring Operation: 27-26=1, Resulting Numbers: [98, 1] Generated Node #0,0,0: 99:[98, 1] Operation: 27-26=1 Moving to Node #0,0,0 Current State: 99:[98, 1], Operations: ['44+54=98', '27-26=1'] Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 69, 43, 87, 74 ]
39
[ "69-43=26", "87-74=13", "26+13=39" ]
Current State: 39:[69, 43, 87, 74], Operations: [] Exploring Operation: 69-43=26, Resulting Numbers: [87, 74, 26] Generated Node #2: [87, 74, 26] from Operation: 69-43=26 Current State: 39:[87, 74, 26], Operations: ['69-43=26'] Exploring Operation: 87-74=13, Resulting Numbers: [26, 13] Generated Node #3: [26, 13] from Operation: 87-74=13 Current State: 39:[26, 13], Operations: ['69-43=26', '87-74=13'] Exploring Operation: 26+13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[69, 43, 87, 74], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [43, 87, 5] Generated Node #0,0: 39:[43, 87, 5] Operation: 74-69=5 Exploring Operation: 87-69=18, Resulting Numbers: [43, 74, 18] Generated Node #0,1: 39:[43, 74, 18] Operation: 87-69=18 Exploring Operation: 87-74=13, Resulting Numbers: [69, 43, 13] Generated Node #0,2: 39:[69, 43, 13] Operation: 87-74=13 Start Sub Search at level 1: Moving to Node #0,2 Current State: 39:[69, 43, 13], Operations: ['87-74=13'] Exploring Operation: 43-13=30, Resulting Numbers: [69, 30] Generated Node #0,2,0: 39:[69, 30] Operation: 43-13=30 Exploring Operation: 69-43=26, Resulting Numbers: [13, 26] Generated Node #0,2,1: 39:[13, 26] Operation: 69-43=26 Exploring Operation: 69-13=56, Resulting Numbers: [43, 56] Generated Node #0,2,2: 39:[43, 56] Operation: 69-13=56 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 39:[13, 26], Operations: ['87-74=13', '69-43=26'] Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[69, 43, 87, 74], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [69, 43, 13] Generated Node #0,2: 39:[69, 43, 13] Operation: 87-74=13 Moving to Node #0,2 Current State: 39:[69, 43, 13], Operations: ['87-74=13'] Exploring Operation: 69-43=26, Resulting Numbers: [13, 26] Generated Node #0,2,1: 39:[13, 26] Operation: 69-43=26 Moving to Node #0,2,1 Current State: 39:[13, 26], Operations: ['87-74=13', '69-43=26'] Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 33, 55, 88, 25 ]
25
[ "33+55=88", "88+25=113", "113-88=25" ]
Current State: 25:[33, 55, 88, 25], Operations: [] Exploring Operation: 33+55=88, Resulting Numbers: [88, 25, 88] Generated Node #2: [88, 25, 88] from Operation: 33+55=88 Current State: 25:[88, 25, 88], Operations: ['33+55=88'] Exploring Operation: 88+25=113, Resulting Numbers: [113] 113,25 equal: Goal Reached Exploring Operation: 113-88=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[33, 55, 88, 25], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [33, 25, 33] Generated Node #0,0: 25:[33, 25, 33] Operation: 88-55=33 Exploring Operation: 88-33=55, Resulting Numbers: [55, 25, 55] Generated Node #0,1: 25:[55, 25, 55] Operation: 88-33=55 Moving to Node #0,0 Current State: 25:[33, 25, 33], Operations: ['88-55=33'] Exploring Operation: 33-33=0, Resulting Numbers: [25, 0] Generated Node #0,0,0: 25:[25, 0] Operation: 33-33=0 Exploring Operation: 33/33=1, Resulting Numbers: [25, 1] Generated Node #0,0,1: 25:[25, 1] Operation: 33/33=1 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 25:[25, 1], Operations: ['88-55=33', '33/33=1'] Exploring Operation: 25/1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[33, 55, 88, 25], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [33, 25, 33] Generated Node #0,0: 25:[33, 25, 33] Operation: 88-55=33 Moving to Node #0,0 Current State: 25:[33, 25, 33], Operations: ['88-55=33'] Exploring Operation: 33/33=1, Resulting Numbers: [25, 1] Generated Node #0,0,1: 25:[25, 1] Operation: 33/33=1 Moving to Node #0,0,1 Current State: 25:[25, 1], Operations: ['88-55=33', '33/33=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
[ 38, 33, 85, 47 ]
32
[ "85-38=47", "47/47=1", "33-1=32" ]
Current State: 32:[38, 33, 85, 47], Operations: [] Exploring Operation: 85-38=47, Resulting Numbers: [33, 47, 47] Generated Node #2: [33, 47, 47] from Operation: 85-38=47 Current State: 32:[33, 47, 47], Operations: ['85-38=47'] Exploring Operation: 47/47=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 47/47=1 Current State: 32:[33, 1], Operations: ['85-38=47', '47/47=1'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[38, 33, 85, 47], Operations: [] Exploring Operation: 85-38=47, Resulting Numbers: [33, 47, 47] Generated Node #0,0: 32:[33, 47, 47] Operation: 85-38=47 Exploring Operation: 85-33=52, Resulting Numbers: [38, 47, 52] Generated Node #0,1: 32:[38, 47, 52] Operation: 85-33=52 Exploring Operation: 85-47=38, Resulting Numbers: [38, 33, 38] Generated Node #0,2: 32:[38, 33, 38] Operation: 85-47=38 Exploring Operation: 47-38=9, Resulting Numbers: [33, 85, 9] Generated Node #0,3: 32:[33, 85, 9] Operation: 47-38=9 Start Sub Search at level 1: Moving to Node #0,2 Current State: 32:[38, 33, 38], Operations: ['85-47=38'] Exploring Operation: 38/38=1, Resulting Numbers: [33, 1] Generated Node #0,2,0: 32:[33, 1] Operation: 38/38=1 Exploring Operation: 38-33=5, Resulting Numbers: [38, 5] Generated Node #0,2,1: 32:[38, 5] Operation: 38-33=5 Exploring Operation: 38-33=5, Resulting Numbers: [38, 5] Generated Node #0,2,2: 32:[38, 5] Operation: 38-33=5 Exploring Operation: 38-38=0, Resulting Numbers: [33, 0] Generated Node #0,2,3: 32:[33, 0] Operation: 38-38=0 Moving to Node #0,2,0 Current State: 32:[33, 1], Operations: ['85-47=38', '38/38=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,32 unequal: No Solution Exploring Operation: 33/1=33, Resulting Numbers: [33] 33,32 unequal: No Solution Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Moving to Node #0 Current State: 32:[38, 33, 85, 47], Operations: [] Exploring Operation: 85-47=38, Resulting Numbers: [38, 33, 38] Generated Node #0,2: 32:[38, 33, 38] Operation: 85-47=38 Moving to Node #0,2 Current State: 32:[38, 33, 38], Operations: ['85-47=38'] Exploring Operation: 38/38=1, Resulting Numbers: [33, 1] Generated Node #0,2,0: 32:[33, 1] Operation: 38/38=1 Moving to Node #0,2,0 Current State: 32:[33, 1], Operations: ['85-47=38', '38/38=1'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 31, 58, 68, 2 ]
19
[ "31+58=89", "68+2=70", "89-70=19" ]
Current State: 19:[31, 58, 68, 2], Operations: [] Exploring Operation: 31+58=89, Resulting Numbers: [68, 2, 89] Generated Node #2: [68, 2, 89] from Operation: 31+58=89 Current State: 19:[68, 2, 89], Operations: ['31+58=89'] Exploring Operation: 68+2=70, Resulting Numbers: [89, 70] Generated Node #3: [89, 70] from Operation: 68+2=70 Current State: 19:[89, 70], Operations: ['31+58=89', '68+2=70'] Exploring Operation: 89-70=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[31, 58, 68, 2], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [31, 2, 10] Generated Node #0,0: 19:[31, 2, 10] Operation: 68-58=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 19:[31, 2, 10], Operations: ['68-58=10'] Exploring Operation: 2*10=20, Resulting Numbers: [31, 20] Generated Node #0,0,0: 19:[31, 20] Operation: 2*10=20 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 19:[31, 20], Operations: ['68-58=10', '2*10=20'] Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 36, 32, 16, 40 ]
12
[ "36+32=68", "16+40=56", "68-56=12" ]
Current State: 12:[36, 32, 16, 40], Operations: [] Exploring Operation: 36+32=68, Resulting Numbers: [16, 40, 68] Generated Node #2: [16, 40, 68] from Operation: 36+32=68 Current State: 12:[16, 40, 68], Operations: ['36+32=68'] Exploring Operation: 16+40=56, Resulting Numbers: [68, 56] Generated Node #3: [68, 56] from Operation: 16+40=56 Current State: 12:[68, 56], Operations: ['36+32=68', '16+40=56'] Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[36, 32, 16, 40], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [16, 40, 4] Generated Node #0,0: 12:[16, 40, 4] Operation: 36-32=4 Exploring Operation: 40-36=4, Resulting Numbers: [32, 16, 4] Generated Node #0,1: 12:[32, 16, 4] Operation: 40-36=4 Exploring Operation: 32/16=2, Resulting Numbers: [36, 40, 2] Generated Node #0,2: 12:[36, 40, 2] Operation: 32/16=2 Exploring Operation: 36-16=20, Resulting Numbers: [32, 40, 20] Generated Node #0,3: 12:[32, 40, 20] Operation: 36-16=20 Exploring Operation: 40-32=8, Resulting Numbers: [36, 16, 8] Generated Node #0,4: 12:[36, 16, 8] Operation: 40-32=8 Start Sub Search at level 1: Moving to Node #0,1 Current State: 12:[32, 16, 4], Operations: ['40-36=4'] Exploring Operation: 32/4=8, Resulting Numbers: [16, 8] Generated Node #0,1,0: 12:[16, 8] Operation: 32/4=8 Exploring Operation: 16-4=12, Resulting Numbers: [32, 12] Generated Node #0,1,1: 12:[32, 12] Operation: 16-4=12 Exploring Operation: 32-16=16, Resulting Numbers: [4, 16] Generated Node #0,1,2: 12:[4, 16] Operation: 32-16=16 Exploring Operation: 32/16=2, Resulting Numbers: [4, 2] Generated Node #0,1,3: 12:[4, 2] Operation: 32/16=2 Exploring Operation: 32-4=28, Resulting Numbers: [16, 28] Generated Node #0,1,4: 12:[16, 28] Operation: 32-4=28 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 12:[4, 2], Operations: ['40-36=4', '32/16=2'] Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 4+2=6, Resulting Numbers: [6] 6,12 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 4*2=8, Resulting Numbers: [8] 8,12 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: 12:[4, 16], Operations: ['40-36=4', '32-16=16'] Exploring Operation: 16/4=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[36, 32, 16, 40], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [32, 16, 4] Generated Node #0,1: 12:[32, 16, 4] Operation: 40-36=4 Moving to Node #0,1 Current State: 12:[32, 16, 4], Operations: ['40-36=4'] Exploring Operation: 32-16=16, Resulting Numbers: [4, 16] Generated Node #0,1,2: 12:[4, 16] Operation: 32-16=16 Moving to Node #0,1,2 Current State: 12:[4, 16], Operations: ['40-36=4', '32-16=16'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.982639
hs_5
sum_heuristic
[ 18, 3, 21, 67 ]
34
[ "18*3=54", "21+67=88", "88-54=34" ]
Current State: 34:[18, 3, 21, 67], Operations: [] Exploring Operation: 18*3=54, Resulting Numbers: [21, 67, 54] Generated Node #2: [21, 67, 54] from Operation: 18*3=54 Current State: 34:[21, 67, 54], Operations: ['18*3=54'] Exploring Operation: 21+67=88, Resulting Numbers: [54, 88] Generated Node #3: [54, 88] from Operation: 21+67=88 Current State: 34:[54, 88], Operations: ['18*3=54', '21+67=88'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[18, 3, 21, 67], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [18, 3, 46] Generated Node #0,0: 34:[18, 3, 46] Operation: 67-21=46 Exploring Operation: 67-18=49, Resulting Numbers: [3, 21, 49] Generated Node #0,1: 34:[3, 21, 49] Operation: 67-18=49 Moving to Node #0,0 Current State: 34:[18, 3, 46], Operations: ['67-21=46'] Exploring Operation: 46-18=28, Resulting Numbers: [3, 28] Generated Node #0,0,0: 34:[3, 28] Operation: 46-18=28 Exploring Operation: 46-3=43, Resulting Numbers: [18, 43] Generated Node #0,0,1: 34:[18, 43] Operation: 46-3=43 Moving to Node #0,1 Current State: 34:[3, 21, 49], Operations: ['67-18=49'] Exploring Operation: 49-21=28, Resulting Numbers: [3, 28] Generated Node #0,1,0: 34:[3, 28] Operation: 49-21=28 Exploring Operation: 21-3=18, Resulting Numbers: [49, 18] Generated Node #0,1,1: 34:[49, 18] Operation: 21-3=18 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 34:[3, 28], Operations: ['67-18=49', '49-21=28'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,34 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 #0,1,1 Current State: 34:[49, 18], Operations: ['67-18=49', '21-3=18'] Exploring Operation: 49+18=67, Resulting Numbers: [67] 67,34 unequal: No Solution Exploring Operation: 49-18=31, Resulting Numbers: [31] 31,34 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: 34:[3, 28], Operations: ['67-21=46', '46-18=28'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,34 unequal: No Solution Moving to Node #0,0,1 Current State: 34:[18, 43], Operations: ['67-21=46', '46-3=43'] Exploring Operation: 18+43=61, Resulting Numbers: [61] 61,34 unequal: No Solution Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,34 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 45, 6, 47, 23 ]
92
[ "45+6=51", "51-47=4", "23*4=92" ]
Current State: 92:[45, 6, 47, 23], Operations: [] Exploring Operation: 45+6=51, Resulting Numbers: [47, 23, 51] Generated Node #2: [47, 23, 51] from Operation: 45+6=51 Current State: 92:[47, 23, 51], Operations: ['45+6=51'] Exploring Operation: 51-47=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 51-47=4 Current State: 92:[23, 4], Operations: ['45+6=51', '51-47=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[45, 6, 47, 23], Operations: [] Exploring Operation: 45+47=92, Resulting Numbers: [6, 23, 92] Generated Node #0,0: 92:[6, 23, 92] Operation: 45+47=92 Start Sub Search at level 1: Moving to Node #0,0 Current State: 92:[6, 23, 92], Operations: ['45+47=92'] Exploring Operation: 92/23=4, Resulting Numbers: [6, 4] Generated Node #0,0,0: 92:[6, 4] Operation: 92/23=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 92:[6, 4], Operations: ['45+47=92', '92/23=4'] Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,92 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 No solution found.
0
hs_1
sum_heuristic
[ 36, 64, 4, 48 ]
80
[ "64-36=28", "4+48=52", "28+52=80" ]
Current State: 80:[36, 64, 4, 48], Operations: [] Exploring Operation: 64-36=28, Resulting Numbers: [4, 48, 28] Generated Node #2: [4, 48, 28] from Operation: 64-36=28 Current State: 80:[4, 48, 28], Operations: ['64-36=28'] Exploring Operation: 4+48=52, Resulting Numbers: [28, 52] Generated Node #3: [28, 52] from Operation: 4+48=52 Current State: 80:[28, 52], Operations: ['64-36=28', '4+48=52'] Exploring Operation: 28+52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[36, 64, 4, 48], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [36, 4, 16] Generated Node #0,0: 80:[36, 4, 16] Operation: 64-48=16 Exploring Operation: 64/4=16, Resulting Numbers: [36, 48, 16] Generated Node #0,1: 80:[36, 48, 16] Operation: 64/4=16 Exploring Operation: 64-36=28, Resulting Numbers: [4, 48, 28] Generated Node #0,2: 80:[4, 48, 28] Operation: 64-36=28 Exploring Operation: 48-36=12, Resulting Numbers: [64, 4, 12] Generated Node #0,3: 80:[64, 4, 12] Operation: 48-36=12 Moving to Node #0,0 Current State: 80:[36, 4, 16], Operations: ['64-48=16'] Exploring Operation: 36-16=20, Resulting Numbers: [4, 20] Generated Node #0,0,0: 80:[4, 20] Operation: 36-16=20 Exploring Operation: 36+4=40, Resulting Numbers: [16, 40] Generated Node #0,0,1: 80:[16, 40] Operation: 36+4=40 Exploring Operation: 36/4=9, Resulting Numbers: [16, 9] Generated Node #0,0,2: 80:[16, 9] Operation: 36/4=9 Exploring Operation: 4+16=20, Resulting Numbers: [36, 20] Generated Node #0,0,3: 80:[36, 20] Operation: 4+16=20 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 80:[4, 20], Operations: ['64-48=16', '36-16=20'] Exploring Operation: 20/4=5, Resulting Numbers: [5] 5,80 unequal: No Solution Exploring Operation: 4+20=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[36, 64, 4, 48], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [36, 4, 16] Generated Node #0,0: 80:[36, 4, 16] Operation: 64-48=16 Moving to Node #0,0 Current State: 80:[36, 4, 16], Operations: ['64-48=16'] Exploring Operation: 36-16=20, Resulting Numbers: [4, 20] Generated Node #0,0,0: 80:[4, 20] Operation: 36-16=20 Moving to Node #0,0,0 Current State: 80:[4, 20], Operations: ['64-48=16', '36-16=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 2, 25, 18, 38 ]
83
[ "2+25=27", "18+38=56", "27+56=83" ]
Current State: 83:[2, 25, 18, 38], Operations: [] Exploring Operation: 2+25=27, Resulting Numbers: [18, 38, 27] Generated Node #2: [18, 38, 27] from Operation: 2+25=27 Current State: 83:[18, 38, 27], Operations: ['2+25=27'] Exploring Operation: 18+38=56, Resulting Numbers: [27, 56] Generated Node #3: [27, 56] from Operation: 18+38=56 Current State: 83:[27, 56], Operations: ['2+25=27', '18+38=56'] Exploring Operation: 27+56=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[2, 25, 18, 38], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [25, 18, 76] Generated Node #0,0: 83:[25, 18, 76] Operation: 2*38=76 Moving to Node #0,0 Current State: 83:[25, 18, 76], Operations: ['2*38=76'] Exploring Operation: 25+18=43, Resulting Numbers: [76, 43] Generated Node #0,0,0: 83:[76, 43] Operation: 25+18=43 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 83:[76, 43], Operations: ['2*38=76', '25+18=43'] Exploring Operation: 76+43=119, Resulting Numbers: [119] 119,83 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
[ 81, 45, 12, 45 ]
68
[ "81-12=69", "45/45=1", "69-1=68" ]
Current State: 68:[81, 45, 12, 45], Operations: [] Exploring Operation: 81-12=69, Resulting Numbers: [45, 45, 69] Generated Node #2: [45, 45, 69] from Operation: 81-12=69 Current State: 68:[45, 45, 69], Operations: ['81-12=69'] Exploring Operation: 45/45=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 45/45=1 Current State: 68:[69, 1], Operations: ['81-12=69', '45/45=1'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[81, 45, 12, 45], Operations: [] Exploring Operation: 81-45=36, Resulting Numbers: [12, 45, 36] Generated Node #0,0: 68:[12, 45, 36] Operation: 81-45=36 Moving to Node #0,0 Current State: 68:[12, 45, 36], Operations: ['81-45=36'] Exploring Operation: 45-12=33, Resulting Numbers: [36, 33] Generated Node #0,0,0: 68:[36, 33] Operation: 45-12=33 Moving to Node #0,0,0 Current State: 68:[36, 33], Operations: ['81-45=36', '45-12=33'] Exploring Operation: 36+33=69, Resulting Numbers: [69] 69,68 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 73, 98, 93, 10 ]
78
[ "98-73=25", "93+10=103", "103-25=78" ]
Current State: 78:[73, 98, 93, 10], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [93, 10, 25] Generated Node #2: [93, 10, 25] from Operation: 98-73=25 Current State: 78:[93, 10, 25], Operations: ['98-73=25'] Exploring Operation: 93+10=103, Resulting Numbers: [25, 103] Generated Node #3: [25, 103] from Operation: 93+10=103 Current State: 78:[25, 103], Operations: ['98-73=25', '93+10=103'] Exploring Operation: 103-25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[73, 98, 93, 10], Operations: [] Exploring Operation: 93-73=20, Resulting Numbers: [98, 10, 20] Generated Node #0,0: 78:[98, 10, 20] Operation: 93-73=20 Exploring Operation: 93-10=83, Resulting Numbers: [73, 98, 83] Generated Node #0,1: 78:[73, 98, 83] Operation: 93-10=83 Exploring Operation: 98-73=25, Resulting Numbers: [93, 10, 25] Generated Node #0,2: 78:[93, 10, 25] Operation: 98-73=25 Exploring Operation: 98-10=88, Resulting Numbers: [73, 93, 88] Generated Node #0,3: 78:[73, 93, 88] Operation: 98-10=88 Exploring Operation: 98-93=5, Resulting Numbers: [73, 10, 5] Generated Node #0,4: 78:[73, 10, 5] Operation: 98-93=5 Moving to Node #0,4 Current State: 78:[73, 10, 5], Operations: ['98-93=5'] Exploring Operation: 10+5=15, Resulting Numbers: [73, 15] Generated Node #0,4,0: 78:[73, 15] Operation: 10+5=15 Exploring Operation: 10/5=2, Resulting Numbers: [73, 2] Generated Node #0,4,1: 78:[73, 2] Operation: 10/5=2 Exploring Operation: 73+10=83, Resulting Numbers: [5, 83] Generated Node #0,4,2: 78:[5, 83] Operation: 73+10=83 Exploring Operation: 73+5=78, Resulting Numbers: [10, 78] Generated Node #0,4,3: 78:[10, 78] Operation: 73+5=78 Exploring Operation: 10-5=5, Resulting Numbers: [73, 5] Generated Node #0,4,4: 78:[73, 5] Operation: 10-5=5 Moving to Node #0,2 Current State: 78:[93, 10, 25], Operations: ['98-73=25'] Exploring Operation: 93-10=83, Resulting Numbers: [25, 83] Generated Node #0,2,0: 78:[25, 83] Operation: 93-10=83 Exploring Operation: 25-10=15, Resulting Numbers: [93, 15] Generated Node #0,2,1: 78:[93, 15] Operation: 25-10=15 Exploring Operation: 10+25=35, Resulting Numbers: [93, 35] Generated Node #0,2,2: 78:[93, 35] Operation: 10+25=35 Exploring Operation: 93+10=103, Resulting Numbers: [25, 103] Generated Node #0,2,3: 78:[25, 103] Operation: 93+10=103 Exploring Operation: 93-25=68, Resulting Numbers: [10, 68] Generated Node #0,2,4: 78:[10, 68] Operation: 93-25=68 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 78:[25, 83], Operations: ['98-73=25', '93-10=83'] Exploring Operation: 25+83=108, Resulting Numbers: [108] 108,78 unequal: No Solution Exploring Operation: 25*83=2075, Resulting Numbers: [2075] 2075,78 unequal: No Solution Exploring Operation: 83-25=58, Resulting Numbers: [58] 58,78 unequal: No Solution No 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: 78:[10, 68], Operations: ['98-73=25', '93-25=68'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,78 unequal: No Solution Exploring Operation: 10+68=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[73, 98, 93, 10], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [93, 10, 25] Generated Node #0,2: 78:[93, 10, 25] Operation: 98-73=25 Moving to Node #0,2 Current State: 78:[93, 10, 25], Operations: ['98-73=25'] Exploring Operation: 93-25=68, Resulting Numbers: [10, 68] Generated Node #0,2,4: 78:[10, 68] Operation: 93-25=68 Moving to Node #0,2,4 Current State: 78:[10, 68], Operations: ['98-73=25', '93-25=68'] Exploring Operation: 10+68=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_5
sum_heuristic
[ 56, 43, 94, 77 ]
82
[ "56+43=99", "94-77=17", "99-17=82" ]
Current State: 82:[56, 43, 94, 77], Operations: [] Exploring Operation: 56+43=99, Resulting Numbers: [94, 77, 99] Generated Node #2: [94, 77, 99] from Operation: 56+43=99 Current State: 82:[94, 77, 99], Operations: ['56+43=99'] Exploring Operation: 94-77=17, Resulting Numbers: [99, 17] Generated Node #3: [99, 17] from Operation: 94-77=17 Current State: 82:[99, 17], Operations: ['56+43=99', '94-77=17'] Exploring Operation: 99-17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[56, 43, 94, 77], Operations: [] Exploring Operation: 56-43=13, Resulting Numbers: [94, 77, 13] Generated Node #0,0: 82:[94, 77, 13] Operation: 56-43=13 Exploring Operation: 94-56=38, Resulting Numbers: [43, 77, 38] Generated Node #0,1: 82:[43, 77, 38] Operation: 94-56=38 Exploring Operation: 94-43=51, Resulting Numbers: [56, 77, 51] Generated Node #0,2: 82:[56, 77, 51] Operation: 94-43=51 Exploring Operation: 94-77=17, Resulting Numbers: [56, 43, 17] Generated Node #0,3: 82:[56, 43, 17] Operation: 94-77=17 Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[43, 77, 38], Operations: ['94-56=38'] Exploring Operation: 43+38=81, Resulting Numbers: [77, 81] Generated Node #0,1,0: 82:[77, 81] Operation: 43+38=81 Exploring Operation: 43-38=5, Resulting Numbers: [77, 5] Generated Node #0,1,1: 82:[77, 5] Operation: 43-38=5 Exploring Operation: 77-38=39, Resulting Numbers: [43, 39] Generated Node #0,1,2: 82:[43, 39] Operation: 77-38=39 Exploring Operation: 77-43=34, Resulting Numbers: [38, 34] Generated Node #0,1,3: 82:[38, 34] Operation: 77-43=34 Moving to Node #0,1,2 Current State: 82:[43, 39], Operations: ['94-56=38', '77-38=39'] Exploring Operation: 43-39=4, Resulting Numbers: [4] 4,82 unequal: No Solution Exploring Operation: 43*39=1677, Resulting Numbers: [1677] 1677,82 unequal: No Solution Exploring Operation: 43+39=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[56, 43, 94, 77], Operations: [] Exploring Operation: 94-56=38, Resulting Numbers: [43, 77, 38] Generated Node #0,1: 82:[43, 77, 38] Operation: 94-56=38 Moving to Node #0,1 Current State: 82:[43, 77, 38], Operations: ['94-56=38'] Exploring Operation: 77-38=39, Resulting Numbers: [43, 39] Generated Node #0,1,2: 82:[43, 39] Operation: 77-38=39 Moving to Node #0,1,2 Current State: 82:[43, 39], Operations: ['94-56=38', '77-38=39'] Exploring Operation: 43+39=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
sum_heuristic
[ 65, 29, 5, 68 ]
52
[ "65/5=13", "68-29=39", "13+39=52" ]
Current State: 52:[65, 29, 5, 68], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [29, 68, 13] Generated Node #2: [29, 68, 13] from Operation: 65/5=13 Current State: 52:[29, 68, 13], Operations: ['65/5=13'] Exploring Operation: 68-29=39, Resulting Numbers: [13, 39] Generated Node #3: [13, 39] from Operation: 68-29=39 Current State: 52:[13, 39], Operations: ['65/5=13', '68-29=39'] Exploring Operation: 13+39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[65, 29, 5, 68], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [29, 5, 3] Generated Node #0,0: 52:[29, 5, 3] Operation: 68-65=3 Exploring Operation: 65/5=13, Resulting Numbers: [29, 68, 13] Generated Node #0,1: 52:[29, 68, 13] Operation: 65/5=13 Moving to Node #0,0 Current State: 52:[29, 5, 3], Operations: ['68-65=3'] Exploring Operation: 29-5=24, Resulting Numbers: [3, 24] Generated Node #0,0,0: 52:[3, 24] Operation: 29-5=24 Exploring Operation: 29-3=26, Resulting Numbers: [5, 26] Generated Node #0,0,1: 52:[5, 26] Operation: 29-3=26 Moving to Node #0,1 Current State: 52:[29, 68, 13], Operations: ['65/5=13'] Exploring Operation: 68-29=39, Resulting Numbers: [13, 39] Generated Node #0,1,0: 52:[13, 39] Operation: 68-29=39 Exploring Operation: 68-13=55, Resulting Numbers: [29, 55] Generated Node #0,1,1: 52:[29, 55] Operation: 68-13=55 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 52:[29, 55], Operations: ['65/5=13', '68-13=55'] Exploring Operation: 55-29=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 29+55=84, Resulting Numbers: [84] 84,52 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:[13, 39], Operations: ['65/5=13', '68-29=39'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 13+39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[65, 29, 5, 68], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [29, 68, 13] Generated Node #0,1: 52:[29, 68, 13] Operation: 65/5=13 Moving to Node #0,1 Current State: 52:[29, 68, 13], Operations: ['65/5=13'] Exploring Operation: 68-29=39, Resulting Numbers: [13, 39] Generated Node #0,1,0: 52:[13, 39] Operation: 68-29=39 Moving to Node #0,1,0 Current State: 52:[13, 39], Operations: ['65/5=13', '68-29=39'] Exploring Operation: 13+39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_2
mult_heuristic
[ 34, 3, 36, 35 ]
67
[ "36-34=2", "35*2=70", "70-3=67" ]
Current State: 67:[34, 3, 36, 35], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [3, 35, 2] Generated Node #2: [3, 35, 2] from Operation: 36-34=2 Current State: 67:[3, 35, 2], Operations: ['36-34=2'] Exploring Operation: 35*2=70, Resulting Numbers: [3, 70] Generated Node #3: [3, 70] from Operation: 35*2=70 Current State: 67:[3, 70], Operations: ['36-34=2', '35*2=70'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
Current State: 67:[34, 3, 36, 35], Operations: [] Exploring Operation: 34+3=37, Resulting Numbers: [36, 35, 37] Generated Node #0,0: 67:[36, 35, 37] Operation: 34+3=37 Moving to Node #0,0 Current State: 67:[36, 35, 37], Operations: ['34+3=37'] Exploring Operation: 36+35=71, Resulting Numbers: [37, 71] Generated Node #0,0,0: 67:[37, 71] Operation: 36+35=71 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 67:[37, 71], Operations: ['34+3=37', '36+35=71'] Exploring Operation: 71-37=34, Resulting Numbers: [34] 34,67 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, 14, 54, 12 ]
36
[ "64+14=78", "54-12=42", "78-42=36" ]
Current State: 36:[64, 14, 54, 12], Operations: [] Exploring Operation: 64+14=78, Resulting Numbers: [54, 12, 78] Generated Node #2: [54, 12, 78] from Operation: 64+14=78 Current State: 36:[54, 12, 78], Operations: ['64+14=78'] Exploring Operation: 54-12=42, Resulting Numbers: [78, 42] Generated Node #3: [78, 42] from Operation: 54-12=42 Current State: 36:[78, 42], Operations: ['64+14=78', '54-12=42'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[64, 14, 54, 12], Operations: [] Exploring Operation: 54-14=40, Resulting Numbers: [64, 12, 40] Generated Node #0,0: 36:[64, 12, 40] Operation: 54-14=40 Exploring Operation: 64-12=52, Resulting Numbers: [14, 54, 52] Generated Node #0,1: 36:[14, 54, 52] Operation: 64-12=52 Exploring Operation: 54-12=42, Resulting Numbers: [64, 14, 42] Generated Node #0,2: 36:[64, 14, 42] Operation: 54-12=42 Exploring Operation: 64-14=50, Resulting Numbers: [54, 12, 50] Generated Node #0,3: 36:[54, 12, 50] Operation: 64-14=50 Exploring Operation: 64-54=10, Resulting Numbers: [14, 12, 10] Generated Node #0,4: 36:[14, 12, 10] Operation: 64-54=10 Moving to Node #0,4 Current State: 36:[14, 12, 10], Operations: ['64-54=10'] Exploring Operation: 14-12=2, Resulting Numbers: [10, 2] Generated Node #0,4,0: 36:[10, 2] Operation: 14-12=2 Exploring Operation: 12+10=22, Resulting Numbers: [14, 22] Generated Node #0,4,1: 36:[14, 22] Operation: 12+10=22 Exploring Operation: 14+10=24, Resulting Numbers: [12, 24] Generated Node #0,4,2: 36:[12, 24] Operation: 14+10=24 Exploring Operation: 14-10=4, Resulting Numbers: [12, 4] Generated Node #0,4,3: 36:[12, 4] Operation: 14-10=4 Exploring Operation: 12-10=2, Resulting Numbers: [14, 2] Generated Node #0,4,4: 36:[14, 2] Operation: 12-10=2 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 36:[12, 4], Operations: ['64-54=10', '14-10=4'] Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,36 unequal: No Solution Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,36 unequal: No Solution Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,36 unequal: No Solution Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,36 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 #0,4,0 Current State: 36:[10, 2], Operations: ['64-54=10', '14-12=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,36 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,36 unequal: No Solution Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,36 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 #0,4,4 Current State: 36:[14, 2], Operations: ['64-54=10', '12-10=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,36 unequal: No Solution Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,36 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,36 unequal: No Solution Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,36 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 #0,4,1 Current State: 36:[14, 22], Operations: ['64-54=10', '12+10=22'] Exploring Operation: 14*22=308, Resulting Numbers: [308] 308,36 unequal: No Solution Exploring Operation: 14+22=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[64, 14, 54, 12], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [14, 12, 10] Generated Node #0,4: 36:[14, 12, 10] Operation: 64-54=10 Moving to Node #0,4 Current State: 36:[14, 12, 10], Operations: ['64-54=10'] Exploring Operation: 12+10=22, Resulting Numbers: [14, 22] Generated Node #0,4,1: 36:[14, 22] Operation: 12+10=22 Moving to Node #0,4,1 Current State: 36:[14, 22], Operations: ['64-54=10', '12+10=22'] Exploring Operation: 14+22=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.975694
hs_5
mult_heuristic
[ 72, 43, 73, 79 ]
23
[ "72-43=29", "79-73=6", "29-6=23" ]
Current State: 23:[72, 43, 73, 79], Operations: [] Exploring Operation: 72-43=29, Resulting Numbers: [73, 79, 29] Generated Node #2: [73, 79, 29] from Operation: 72-43=29 Current State: 23:[73, 79, 29], Operations: ['72-43=29'] Exploring Operation: 79-73=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 79-73=6 Current State: 23:[29, 6], Operations: ['72-43=29', '79-73=6'] Exploring Operation: 29-6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
Current State: 23:[72, 43, 73, 79], Operations: [] Exploring Operation: 73-72=1, Resulting Numbers: [43, 79, 1] Generated Node #0,0: 23:[43, 79, 1] Operation: 73-72=1 Exploring Operation: 79-72=7, Resulting Numbers: [43, 73, 7] Generated Node #0,1: 23:[43, 73, 7] Operation: 79-72=7 Exploring Operation: 79-73=6, Resulting Numbers: [72, 43, 6] Generated Node #0,2: 23:[72, 43, 6] Operation: 79-73=6 Exploring Operation: 73-43=30, Resulting Numbers: [72, 79, 30] Generated Node #0,3: 23:[72, 79, 30] Operation: 73-43=30 Exploring Operation: 72-43=29, Resulting Numbers: [73, 79, 29] Generated Node #0,4: 23:[73, 79, 29] Operation: 72-43=29 Start Sub Search at level 1: Moving to Node #0,1 Current State: 23:[43, 73, 7], Operations: ['79-72=7'] Exploring Operation: 73-7=66, Resulting Numbers: [43, 66] Generated Node #0,1,0: 23:[43, 66] Operation: 73-7=66 Exploring Operation: 43-7=36, Resulting Numbers: [73, 36] Generated Node #0,1,1: 23:[73, 36] Operation: 43-7=36 Exploring Operation: 43+7=50, Resulting Numbers: [73, 50] Generated Node #0,1,2: 23:[73, 50] Operation: 43+7=50 Exploring Operation: 73+7=80, Resulting Numbers: [43, 80] Generated Node #0,1,3: 23:[43, 80] Operation: 73+7=80 Exploring Operation: 73-43=30, Resulting Numbers: [7, 30] Generated Node #0,1,4: 23:[7, 30] Operation: 73-43=30 Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 23:[7, 30], Operations: ['79-72=7', '73-43=30'] Exploring Operation: 30-7=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[72, 43, 73, 79], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [43, 73, 7] Generated Node #0,1: 23:[43, 73, 7] Operation: 79-72=7 Moving to Node #0,1 Current State: 23:[43, 73, 7], Operations: ['79-72=7'] Exploring Operation: 73-43=30, Resulting Numbers: [7, 30] Generated Node #0,1,4: 23:[7, 30] Operation: 73-43=30 Moving to Node #0,1,4 Current State: 23:[7, 30], Operations: ['79-72=7', '73-43=30'] Exploring Operation: 30-7=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 17, 65, 42, 22 ]
17
[ "65-42=23", "23-22=1", "17*1=17" ]
Current State: 17:[17, 65, 42, 22], Operations: [] Exploring Operation: 65-42=23, Resulting Numbers: [17, 22, 23] Generated Node #2: [17, 22, 23] from Operation: 65-42=23 Current State: 17:[17, 22, 23], Operations: ['65-42=23'] Exploring Operation: 23-22=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 23-22=1 Current State: 17:[17, 1], Operations: ['65-42=23', '23-22=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[17, 65, 42, 22], Operations: [] Exploring Operation: 65-22=43, Resulting Numbers: [17, 42, 43] Generated Node #0,0: 17:[17, 42, 43] Operation: 65-22=43 Exploring Operation: 65-42=23, Resulting Numbers: [17, 22, 23] Generated Node #0,1: 17:[17, 22, 23] Operation: 65-42=23 Exploring Operation: 42-22=20, Resulting Numbers: [17, 65, 20] Generated Node #0,2: 17:[17, 65, 20] Operation: 42-22=20 Exploring Operation: 65-17=48, Resulting Numbers: [42, 22, 48] Generated Node #0,3: 17:[42, 22, 48] Operation: 65-17=48 Moving to Node #0,1 Current State: 17:[17, 22, 23], Operations: ['65-42=23'] Exploring Operation: 23-22=1, Resulting Numbers: [17, 1] Generated Node #0,1,0: 17:[17, 1] Operation: 23-22=1 Exploring Operation: 22-17=5, Resulting Numbers: [23, 5] Generated Node #0,1,1: 17:[23, 5] Operation: 22-17=5 Exploring Operation: 17+22=39, Resulting Numbers: [23, 39] Generated Node #0,1,2: 17:[23, 39] Operation: 17+22=39 Exploring Operation: 23-17=6, Resulting Numbers: [22, 6] Generated Node #0,1,3: 17:[22, 6] Operation: 23-17=6 Moving to Node #0,2 Current State: 17:[17, 65, 20], Operations: ['42-22=20'] Exploring Operation: 65-20=45, Resulting Numbers: [17, 45] Generated Node #0,2,0: 17:[17, 45] Operation: 65-20=45 Exploring Operation: 20-17=3, Resulting Numbers: [65, 3] Generated Node #0,2,1: 17:[65, 3] Operation: 20-17=3 Exploring Operation: 65-17=48, Resulting Numbers: [20, 48] Generated Node #0,2,2: 17:[20, 48] Operation: 65-17=48 Exploring Operation: 17+65=82, Resulting Numbers: [20, 82] Generated Node #0,2,3: 17:[20, 82] Operation: 17+65=82 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 17:[17, 45], Operations: ['42-22=20', '65-20=45'] Exploring Operation: 17*45=765, Resulting Numbers: [765] 765,17 unequal: No Solution Exploring Operation: 17+45=62, Resulting Numbers: [62] 62,17 unequal: No Solution Exploring Operation: 45-17=28, Resulting Numbers: [28] 28,17 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 #0,2,2 Current State: 17:[20, 48], Operations: ['42-22=20', '65-17=48'] Exploring Operation: 20+48=68, Resulting Numbers: [68] 68,17 unequal: No Solution Exploring Operation: 20*48=960, Resulting Numbers: [960] 960,17 unequal: No Solution Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,17 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 #0,2,1 Current State: 17:[65, 3], Operations: ['42-22=20', '20-17=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,17 unequal: No Solution Exploring Operation: 65*3=195, Resulting Numbers: [195] 195,17 unequal: No Solution Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,17 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 #0,2,3 Current State: 17:[20, 82], Operations: ['42-22=20', '17+65=82'] Exploring Operation: 82-20=62, Resulting Numbers: [62] 62,17 unequal: No Solution Exploring Operation: 20*82=1640, Resulting Numbers: [1640] 1640,17 unequal: No Solution Exploring Operation: 20+82=102, Resulting Numbers: [102] 102,17 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: 17:[17, 42, 43], Operations: ['65-22=43'] Exploring Operation: 43-17=26, Resulting Numbers: [42, 26] Generated Node #0,0,0: 17:[42, 26] Operation: 43-17=26 Exploring Operation: 17+42=59, Resulting Numbers: [43, 59] Generated Node #0,0,1: 17:[43, 59] Operation: 17+42=59 Exploring Operation: 42-17=25, Resulting Numbers: [43, 25] Generated Node #0,0,2: 17:[43, 25] Operation: 42-17=25 Exploring Operation: 43-42=1, Resulting Numbers: [17, 1] Generated Node #0,0,3: 17:[17, 1] Operation: 43-42=1 Moving to Node #0,3 Current State: 17:[42, 22, 48], Operations: ['65-17=48'] Exploring Operation: 48-22=26, Resulting Numbers: [42, 26] Generated Node #0,3,0: 17:[42, 26] Operation: 48-22=26 Exploring Operation: 42-22=20, Resulting Numbers: [48, 20] Generated Node #0,3,1: 17:[48, 20] Operation: 42-22=20 Exploring Operation: 48-42=6, Resulting Numbers: [22, 6] Generated Node #0,3,2: 17:[22, 6] Operation: 48-42=6 Exploring Operation: 42+22=64, Resulting Numbers: [48, 64] Generated Node #0,3,3: 17:[48, 64] Operation: 42+22=64 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 17:[22, 6], Operations: ['65-17=48', '48-42=6'] Exploring Operation: 22*6=132, Resulting Numbers: [132] 132,17 unequal: No Solution Exploring Operation: 22+6=28, Resulting Numbers: [28] 28,17 unequal: No Solution Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,17 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 #0,3,0 Current State: 17:[42, 26], Operations: ['65-17=48', '48-22=26'] Exploring Operation: 42*26=1092, Resulting Numbers: [1092] 1092,17 unequal: No Solution Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,17 unequal: No Solution Exploring Operation: 42+26=68, Resulting Numbers: [68] 68,17 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 #0,3,1 Current State: 17:[48, 20], Operations: ['65-17=48', '42-22=20'] Exploring Operation: 48*20=960, Resulting Numbers: [960] 960,17 unequal: No Solution Exploring Operation: 48+20=68, Resulting Numbers: [68] 68,17 unequal: No Solution Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,17 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 #0,3,3 Current State: 17:[48, 64], Operations: ['65-17=48', '42+22=64'] Exploring Operation: 64-48=16, Resulting Numbers: [16] 16,17 unequal: No Solution Exploring Operation: 48*64=3072, Resulting Numbers: [3072] 3072,17 unequal: No Solution Exploring Operation: 48+64=112, Resulting Numbers: [112] 112,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 17:[17, 1], Operations: ['65-42=23', '23-22=1'] Exploring Operation: 17/1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[17, 65, 42, 22], Operations: [] Exploring Operation: 65-42=23, Resulting Numbers: [17, 22, 23] Generated Node #0,1: 17:[17, 22, 23] Operation: 65-42=23 Moving to Node #0,1 Current State: 17:[17, 22, 23], Operations: ['65-42=23'] Exploring Operation: 23-22=1, Resulting Numbers: [17, 1] Generated Node #0,1,0: 17:[17, 1] Operation: 23-22=1 Moving to Node #0,1,0 Current State: 17:[17, 1], Operations: ['65-42=23', '23-22=1'] Exploring Operation: 17/1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
0.957465
hs_4
sum_heuristic
[ 28, 37, 24, 88 ]
59
[ "28-24=4", "88/4=22", "37+22=59" ]
Current State: 59:[28, 37, 24, 88], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [37, 88, 4] Generated Node #2: [37, 88, 4] from Operation: 28-24=4 Current State: 59:[37, 88, 4], Operations: ['28-24=4'] Exploring Operation: 88/4=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 88/4=22 Current State: 59:[37, 22], Operations: ['28-24=4', '88/4=22'] Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[28, 37, 24, 88], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [28, 37, 64] Generated Node #0,0: 59:[28, 37, 64] Operation: 88-24=64 Exploring Operation: 88-28=60, Resulting Numbers: [37, 24, 60] Generated Node #0,1: 59:[37, 24, 60] Operation: 88-28=60 Exploring Operation: 37+24=61, Resulting Numbers: [28, 88, 61] Generated Node #0,2: 59:[28, 88, 61] Operation: 37+24=61 Exploring Operation: 28+24=52, Resulting Numbers: [37, 88, 52] Generated Node #0,3: 59:[37, 88, 52] Operation: 28+24=52 Moving to Node #0,0 Current State: 59:[28, 37, 64], Operations: ['88-24=64'] Exploring Operation: 37-28=9, Resulting Numbers: [64, 9] Generated Node #0,0,0: 59:[64, 9] Operation: 37-28=9 Exploring Operation: 28+64=92, Resulting Numbers: [37, 92] Generated Node #0,0,1: 59:[37, 92] Operation: 28+64=92 Exploring Operation: 64-28=36, Resulting Numbers: [37, 36] Generated Node #0,0,2: 59:[37, 36] Operation: 64-28=36 Exploring Operation: 28+37=65, Resulting Numbers: [64, 65] Generated Node #0,0,3: 59:[64, 65] Operation: 28+37=65 Moving to Node #0,3 Current State: 59:[37, 88, 52], Operations: ['28+24=52'] Exploring Operation: 37+52=89, Resulting Numbers: [88, 89] Generated Node #0,3,0: 59:[88, 89] Operation: 37+52=89 Exploring Operation: 88-37=51, Resulting Numbers: [52, 51] Generated Node #0,3,1: 59:[52, 51] Operation: 88-37=51 Exploring Operation: 37+88=125, Resulting Numbers: [52, 125] Generated Node #0,3,2: 59:[52, 125] Operation: 37+88=125 Exploring Operation: 88-52=36, Resulting Numbers: [37, 36] Generated Node #0,3,3: 59:[37, 36] Operation: 88-52=36 Moving to Node #0,1 Current State: 59:[37, 24, 60], Operations: ['88-28=60'] Exploring Operation: 24+60=84, Resulting Numbers: [37, 84] Generated Node #0,1,0: 59:[37, 84] Operation: 24+60=84 Exploring Operation: 37-24=13, Resulting Numbers: [60, 13] Generated Node #0,1,1: 59:[60, 13] Operation: 37-24=13 Exploring Operation: 37+24=61, Resulting Numbers: [60, 61] Generated Node #0,1,2: 59:[60, 61] Operation: 37+24=61 Exploring Operation: 60-24=36, Resulting Numbers: [37, 36] Generated Node #0,1,3: 59:[37, 36] Operation: 60-24=36 Moving to Node #0,2 Current State: 59:[28, 88, 61], Operations: ['37+24=61'] Exploring Operation: 28+61=89, Resulting Numbers: [88, 89] Generated Node #0,2,0: 59:[88, 89] Operation: 28+61=89 Exploring Operation: 88-28=60, Resulting Numbers: [61, 60] Generated Node #0,2,1: 59:[61, 60] Operation: 88-28=60 Exploring Operation: 28+88=116, Resulting Numbers: [61, 116] Generated Node #0,2,2: 59:[61, 116] Operation: 28+88=116 Exploring Operation: 61-28=33, Resulting Numbers: [88, 33] Generated Node #0,2,3: 59:[88, 33] Operation: 61-28=33 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 59:[61, 60], Operations: ['37+24=61', '88-28=60'] Exploring Operation: 61-60=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 61*60=3660, Resulting Numbers: [3660] 3660,59 unequal: No Solution Exploring Operation: 61+60=121, Resulting Numbers: [121] 121,59 unequal: No Solution No 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: 59:[88, 33], Operations: ['37+24=61', '61-28=33'] Exploring Operation: 88+33=121, Resulting Numbers: [121] 121,59 unequal: No Solution Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 88*33=2904, Resulting Numbers: [2904] 2904,59 unequal: No Solution No 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: 59:[88, 89], Operations: ['37+24=61', '28+61=89'] Exploring Operation: 88*89=7832, Resulting Numbers: [7832] 7832,59 unequal: No Solution Exploring Operation: 89-88=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 88+89=177, Resulting Numbers: [177] 177,59 unequal: No Solution No 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: 59:[61, 116], Operations: ['37+24=61', '28+88=116'] Exploring Operation: 116-61=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 61+116=177, Resulting Numbers: [177] 177,59 unequal: No Solution Exploring Operation: 61*116=7076, Resulting Numbers: [7076] 7076,59 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: 59:[60, 61], Operations: ['88-28=60', '37+24=61'] Exploring Operation: 60*61=3660, Resulting Numbers: [3660] 3660,59 unequal: No Solution Exploring Operation: 60+61=121, Resulting Numbers: [121] 121,59 unequal: No Solution Exploring Operation: 61-60=1, Resulting Numbers: [1] 1,59 unequal: No Solution Moving to Node #0,0,3 Current State: 59:[64, 65], Operations: ['88-24=64', '28+37=65'] Exploring Operation: 64+65=129, Resulting Numbers: [129] 129,59 unequal: No Solution Exploring Operation: 65-64=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 64*65=4160, Resulting Numbers: [4160] 4160,59 unequal: No Solution Moving to Node #0,3,1 Current State: 59:[52, 51], Operations: ['28+24=52', '88-37=51'] Exploring Operation: 52+51=103, Resulting Numbers: [103] 103,59 unequal: No Solution Exploring Operation: 52*51=2652, Resulting Numbers: [2652] 2652,59 unequal: No Solution Exploring Operation: 52-51=1, Resulting Numbers: [1] 1,59 unequal: No Solution Moving to Node #0,3,3 Current State: 59:[37, 36], Operations: ['28+24=52', '88-52=36'] Exploring Operation: 37+36=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 37*36=1332, Resulting Numbers: [1332] 1332,59 unequal: No Solution Exploring Operation: 37-36=1, Resulting Numbers: [1] 1,59 unequal: No Solution Moving to Node #0,0,2 Current State: 59:[37, 36], Operations: ['88-24=64', '64-28=36'] Exploring Operation: 37-36=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 37+36=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 37*36=1332, Resulting Numbers: [1332] 1332,59 unequal: No Solution Moving to Node #0,1,3 Current State: 59:[37, 36], Operations: ['88-28=60', '60-24=36'] Exploring Operation: 37+36=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 37-36=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 37*36=1332, Resulting Numbers: [1332] 1332,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[60, 13], Operations: ['88-28=60', '37-24=13'] Exploring Operation: 60+13=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 60*13=780, Resulting Numbers: [780] 780,59 unequal: No Solution Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,59 unequal: No Solution Moving to Node #0,1,0 Current State: 59:[37, 84], Operations: ['88-28=60', '24+60=84'] Exploring Operation: 37+84=121, Resulting Numbers: [121] 121,59 unequal: No Solution Exploring Operation: 37*84=3108, Resulting Numbers: [3108] 3108,59 unequal: No Solution Exploring Operation: 84-37=47, Resulting Numbers: [47] 47,59 unequal: No Solution Moving to Node #0,0,0 Current State: 59:[64, 9], Operations: ['88-24=64', '37-28=9'] Exploring Operation: 64*9=576, Resulting Numbers: [576] 576,59 unequal: No Solution Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,59 unequal: No Solution Moving to Node #0,0,1 Current State: 59:[37, 92], Operations: ['88-24=64', '28+64=92'] Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 37+92=129, Resulting Numbers: [129] 129,59 unequal: No Solution Exploring Operation: 37*92=3404, Resulting Numbers: [3404] 3404,59 unequal: No Solution Moving to Node #0,3,0 Current State: 59:[88, 89], Operations: ['28+24=52', '37+52=89'] Exploring Operation: 88+89=177, Resulting Numbers: [177] 177,59 unequal: No Solution Exploring Operation: 88*89=7832, Resulting Numbers: [7832] 7832,59 unequal: No Solution Exploring Operation: 89-88=1, Resulting Numbers: [1] 1,59 unequal: No Solution Moving to Node #0,3,2 Current State: 59:[52, 125], Operations: ['28+24=52', '37+88=125'] Exploring Operation: 52*125=6500, Resulting Numbers: [6500] 6500,59 unequal: No Solution Exploring Operation: 125-52=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 52+125=177, Resulting Numbers: [177] 177,59 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 45, 88, 8, 38 ]
94
[ "45+38=83", "88/8=11", "83+11=94" ]
Current State: 94:[45, 88, 8, 38], Operations: [] Exploring Operation: 45+38=83, Resulting Numbers: [88, 8, 83] Generated Node #2: [88, 8, 83] from Operation: 45+38=83 Current State: 94:[88, 8, 83], Operations: ['45+38=83'] Exploring Operation: 88/8=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 88/8=11 Current State: 94:[83, 11], Operations: ['45+38=83', '88/8=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[45, 88, 8, 38], Operations: [] Exploring Operation: 88+8=96, Resulting Numbers: [45, 38, 96] Generated Node #0,0: 94:[45, 38, 96] Operation: 88+8=96 Exploring Operation: 88-38=50, Resulting Numbers: [45, 8, 50] Generated Node #0,1: 94:[45, 8, 50] Operation: 88-38=50 Exploring Operation: 8+38=46, Resulting Numbers: [45, 88, 46] Generated Node #0,2: 94:[45, 88, 46] Operation: 8+38=46 Start Sub Search at level 1: Moving to Node #0,2 Current State: 94:[45, 88, 46], Operations: ['8+38=46'] Exploring Operation: 46-45=1, Resulting Numbers: [88, 1] Generated Node #0,2,0: 94:[88, 1] Operation: 46-45=1 Exploring Operation: 88-46=42, Resulting Numbers: [45, 42] Generated Node #0,2,1: 94:[45, 42] Operation: 88-46=42 Exploring Operation: 88-45=43, Resulting Numbers: [46, 43] Generated Node #0,2,2: 94:[46, 43] Operation: 88-45=43 Moving to Node #0,2,2 Current State: 94:[46, 43], Operations: ['8+38=46', '88-45=43'] Exploring Operation: 46-43=3, Resulting Numbers: [3] 3,94 unequal: No Solution Exploring Operation: 46*43=1978, Resulting Numbers: [1978] 1978,94 unequal: No Solution Exploring Operation: 46+43=89, Resulting Numbers: [89] 89,94 unequal: No Solution Moving to Node #0,2,0 Current State: 94:[88, 1], Operations: ['8+38=46', '46-45=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,94 unequal: No Solution Exploring Operation: 88/1=88, Resulting Numbers: [88] 88,94 unequal: No Solution Exploring Operation: 88+1=89, Resulting Numbers: [89] 89,94 unequal: No Solution Moving to Node #0,2,1 Current State: 94:[45, 42], Operations: ['8+38=46', '88-46=42'] Exploring Operation: 45*42=1890, Resulting Numbers: [1890] 1890,94 unequal: No Solution Exploring Operation: 45-42=3, Resulting Numbers: [3] 3,94 unequal: No Solution Exploring Operation: 45+42=87, Resulting Numbers: [87] 87,94 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:[45, 8, 50], Operations: ['88-38=50'] Exploring Operation: 50-8=42, Resulting Numbers: [45, 42] Generated Node #0,1,0: 94:[45, 42] Operation: 50-8=42 Exploring Operation: 45+50=95, Resulting Numbers: [8, 95] Generated Node #0,1,1: 94:[8, 95] Operation: 45+50=95 Exploring Operation: 45+8=53, Resulting Numbers: [50, 53] Generated Node #0,1,2: 94:[50, 53] Operation: 45+8=53 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 94:[45, 42], Operations: ['88-38=50', '50-8=42'] Exploring Operation: 45+42=87, Resulting Numbers: [87] 87,94 unequal: No Solution Exploring Operation: 45*42=1890, Resulting Numbers: [1890] 1890,94 unequal: No Solution Exploring Operation: 45-42=3, Resulting Numbers: [3] 3,94 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 #0,1,1 Current State: 94:[8, 95], Operations: ['88-38=50', '45+50=95'] Exploring Operation: 8+95=103, Resulting Numbers: [103] 103,94 unequal: No Solution Exploring Operation: 8*95=760, Resulting Numbers: [760] 760,94 unequal: No Solution Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,94 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 #0,1,2 Current State: 94:[50, 53], Operations: ['88-38=50', '45+8=53'] Exploring Operation: 53-50=3, Resulting Numbers: [3] 3,94 unequal: No Solution Exploring Operation: 50+53=103, Resulting Numbers: [103] 103,94 unequal: No Solution Exploring Operation: 50*53=2650, Resulting Numbers: [2650] 2650,94 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 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[45, 38, 96], Operations: ['88+8=96'] Exploring Operation: 96-45=51, Resulting Numbers: [38, 51] Generated Node #0,0,0: 94:[38, 51] Operation: 96-45=51 Exploring Operation: 45-38=7, Resulting Numbers: [96, 7] Generated Node #0,0,1: 94:[96, 7] Operation: 45-38=7 Exploring Operation: 45+38=83, Resulting Numbers: [96, 83] Generated Node #0,0,2: 94:[96, 83] Operation: 45+38=83 Moving to Node #0,0,1 Current State: 94:[96, 7], Operations: ['88+8=96', '45-38=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,94 unequal: No Solution Exploring Operation: 96*7=672, Resulting Numbers: [672] 672,94 unequal: No Solution Exploring Operation: 96+7=103, Resulting Numbers: [103] 103,94 unequal: No Solution Moving to Node #0,0,0 Current State: 94:[38, 51], Operations: ['88+8=96', '96-45=51'] Exploring Operation: 51-38=13, Resulting Numbers: [13] 13,94 unequal: No Solution Exploring Operation: 38+51=89, Resulting Numbers: [89] 89,94 unequal: No Solution Exploring Operation: 38*51=1938, Resulting Numbers: [1938] 1938,94 unequal: No Solution Moving to Node #0,0,2 Current State: 94:[96, 83], Operations: ['88+8=96', '45+38=83'] Exploring Operation: 96-83=13, Resulting Numbers: [13] 13,94 unequal: No Solution Exploring Operation: 96*83=7968, Resulting Numbers: [7968] 7968,94 unequal: No Solution Exploring Operation: 96+83=179, Resulting Numbers: [179] 179,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 13, 23, 7, 6 ]
35
[ "13+23=36", "7-6=1", "36-1=35" ]
Current State: 35:[13, 23, 7, 6], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [7, 6, 36] Generated Node #2: [7, 6, 36] from Operation: 13+23=36 Current State: 35:[7, 6, 36], Operations: ['13+23=36'] Exploring Operation: 7-6=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 7-6=1 Current State: 35:[36, 1], Operations: ['13+23=36', '7-6=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[13, 23, 7, 6], Operations: [] Exploring Operation: 23-13=10, Resulting Numbers: [7, 6, 10] Generated Node #0,0: 35:[7, 6, 10] Operation: 23-13=10 Exploring Operation: 13+23=36, Resulting Numbers: [7, 6, 36] Generated Node #0,1: 35:[7, 6, 36] Operation: 13+23=36 Exploring Operation: 13-6=7, Resulting Numbers: [23, 7, 7] Generated Node #0,2: 35:[23, 7, 7] Operation: 13-6=7 Moving to Node #0,1 Current State: 35:[7, 6, 36], Operations: ['13+23=36'] Exploring Operation: 36/6=6, Resulting Numbers: [7, 6] Generated Node #0,1,0: 35:[7, 6] Operation: 36/6=6 Exploring Operation: 7-6=1, Resulting Numbers: [36, 1] Generated Node #0,1,1: 35:[36, 1] Operation: 7-6=1 Exploring Operation: 36-6=30, Resulting Numbers: [7, 30] Generated Node #0,1,2: 35:[7, 30] Operation: 36-6=30 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 35:[7, 6], Operations: ['13+23=36', '36/6=6'] Exploring Operation: 7*6=42, Resulting Numbers: [42] 42,35 unequal: No Solution Exploring Operation: 7+6=13, Resulting Numbers: [13] 13,35 unequal: No Solution Exploring Operation: 7-6=1, Resulting Numbers: [1] 1,35 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 #0,1,1 Current State: 35:[36, 1], Operations: ['13+23=36', '7-6=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[13, 23, 7, 6], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [7, 6, 36] Generated Node #0,1: 35:[7, 6, 36] Operation: 13+23=36 Moving to Node #0,1 Current State: 35:[7, 6, 36], Operations: ['13+23=36'] Exploring Operation: 7-6=1, Resulting Numbers: [36, 1] Generated Node #0,1,1: 35:[36, 1] Operation: 7-6=1 Moving to Node #0,1,1 Current State: 35:[36, 1], Operations: ['13+23=36', '7-6=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_3
sum_heuristic
[ 70, 80, 70, 28 ]
80
[ "70-70=0", "28*0=0", "80+0=80" ]
Current State: 80:[70, 80, 70, 28], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [80, 28, 0] Generated Node #2: [80, 28, 0] from Operation: 70-70=0 Current State: 80:[80, 28, 0], Operations: ['70-70=0'] Exploring Operation: 28*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 28*0=0 Current State: 80:[80, 0], Operations: ['70-70=0', '28*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[70, 80, 70, 28], Operations: [] Exploring Operation: 70-28=42, Resulting Numbers: [80, 70, 42] Generated Node #0,0: 80:[80, 70, 42] Operation: 70-28=42 Exploring Operation: 70/70=1, Resulting Numbers: [80, 28, 1] Generated Node #0,1: 80:[80, 28, 1] Operation: 70/70=1 Exploring Operation: 70-70=0, Resulting Numbers: [80, 28, 0] Generated Node #0,2: 80:[80, 28, 0] Operation: 70-70=0 Exploring Operation: 70-28=42, Resulting Numbers: [70, 80, 42] Generated Node #0,3: 80:[70, 80, 42] Operation: 70-28=42 Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[80, 28, 1], Operations: ['70/70=1'] Exploring Operation: 28-1=27, Resulting Numbers: [80, 27] Generated Node #0,1,0: 80:[80, 27] Operation: 28-1=27 Exploring Operation: 80*1=80, Resulting Numbers: [28, 80] Generated Node #0,1,1: 80:[28, 80] Operation: 80*1=80 Exploring Operation: 80/1=80, Resulting Numbers: [28, 80] Generated Node #0,1,2: 80:[28, 80] Operation: 80/1=80 Exploring Operation: 28*1=28, Resulting Numbers: [80, 28] Generated Node #0,1,3: 80:[80, 28] Operation: 28*1=28 Moving to Node #0,1,0 Current State: 80:[80, 27], Operations: ['70/70=1', '28-1=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 80+27=107, Resulting Numbers: [107] 107,80 unequal: No Solution Exploring Operation: 80*27=2160, Resulting Numbers: [2160] 2160,80 unequal: No Solution Moving to Node #0,1,2 Current State: 80:[28, 80], Operations: ['70/70=1', '80/1=80'] Exploring Operation: 80-28=52, Resulting Numbers: [52] 52,80 unequal: No Solution Exploring Operation: 28*80=2240, Resulting Numbers: [2240] 2240,80 unequal: No Solution Exploring Operation: 28+80=108, Resulting Numbers: [108] 108,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[28, 80], Operations: ['70/70=1', '80*1=80'] Exploring Operation: 80-28=52, Resulting Numbers: [52] 52,80 unequal: No Solution Exploring Operation: 28*80=2240, Resulting Numbers: [2240] 2240,80 unequal: No Solution Exploring Operation: 28+80=108, Resulting Numbers: [108] 108,80 unequal: No Solution Moving to Node #0,1,3 Current State: 80:[80, 28], Operations: ['70/70=1', '28*1=28'] Exploring Operation: 80-28=52, Resulting Numbers: [52] 52,80 unequal: No Solution Exploring Operation: 80*28=2240, Resulting Numbers: [2240] 2240,80 unequal: No Solution Exploring Operation: 80+28=108, Resulting Numbers: [108] 108,80 unequal: No Solution No 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: 80:[80, 28, 0], Operations: ['70-70=0'] Exploring Operation: 28*0=0, Resulting Numbers: [80, 0] Generated Node #0,2,0: 80:[80, 0] Operation: 28*0=0 Exploring Operation: 80+0=80, Resulting Numbers: [28, 80] Generated Node #0,2,1: 80:[28, 80] Operation: 80+0=80 Exploring Operation: 80-0=80, Resulting Numbers: [28, 80] Generated Node #0,2,2: 80:[28, 80] Operation: 80-0=80 Exploring Operation: 28+0=28, Resulting Numbers: [80, 28] Generated Node #0,2,3: 80:[80, 28] Operation: 28+0=28 Moving to Node #0,2,0 Current State: 80:[80, 0], Operations: ['70-70=0', '28*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[70, 80, 70, 28], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [80, 28, 0] Generated Node #0,2: 80:[80, 28, 0] Operation: 70-70=0 Moving to Node #0,2 Current State: 80:[80, 28, 0], Operations: ['70-70=0'] Exploring Operation: 28*0=0, Resulting Numbers: [80, 0] Generated Node #0,2,0: 80:[80, 0] Operation: 28*0=0 Moving to Node #0,2,0 Current State: 80:[80, 0], Operations: ['70-70=0', '28*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.974826
hs_4
sum_heuristic
[ 16, 1, 10, 63 ]
36
[ "16+1=17", "63-10=53", "53-17=36" ]
Current State: 36:[16, 1, 10, 63], Operations: [] Exploring Operation: 16+1=17, Resulting Numbers: [10, 63, 17] Generated Node #2: [10, 63, 17] from Operation: 16+1=17 Current State: 36:[10, 63, 17], Operations: ['16+1=17'] Exploring Operation: 63-10=53, Resulting Numbers: [17, 53] Generated Node #3: [17, 53] from Operation: 63-10=53 Current State: 36:[17, 53], Operations: ['16+1=17', '63-10=53'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[16, 1, 10, 63], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [1, 10, 47] Generated Node #0,0: 36:[1, 10, 47] Operation: 63-16=47 Exploring Operation: 63-10=53, Resulting Numbers: [16, 1, 53] Generated Node #0,1: 36:[16, 1, 53] Operation: 63-10=53 Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[1, 10, 47], Operations: ['63-16=47'] Exploring Operation: 47-10=37, Resulting Numbers: [1, 37] Generated Node #0,0,0: 36:[1, 37] Operation: 47-10=37 Exploring Operation: 10-1=9, Resulting Numbers: [47, 9] Generated Node #0,0,1: 36:[47, 9] Operation: 10-1=9 Moving to Node #0,0,0 Current State: 36:[1, 37], Operations: ['63-16=47', '47-10=37'] Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[16, 1, 10, 63], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [1, 10, 47] Generated Node #0,0: 36:[1, 10, 47] Operation: 63-16=47 Moving to Node #0,0 Current State: 36:[1, 10, 47], Operations: ['63-16=47'] Exploring Operation: 47-10=37, Resulting Numbers: [1, 37] Generated Node #0,0,0: 36:[1, 37] Operation: 47-10=37 Moving to Node #0,0,0 Current State: 36:[1, 37], Operations: ['63-16=47', '47-10=37'] Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 79, 6, 32, 7 ]
48
[ "79-6=73", "32-7=25", "73-25=48" ]
Current State: 48:[79, 6, 32, 7], Operations: [] Exploring Operation: 79-6=73, Resulting Numbers: [32, 7, 73] Generated Node #2: [32, 7, 73] from Operation: 79-6=73 Current State: 48:[32, 7, 73], Operations: ['79-6=73'] Exploring Operation: 32-7=25, Resulting Numbers: [73, 25] Generated Node #3: [73, 25] from Operation: 32-7=25 Current State: 48:[73, 25], Operations: ['79-6=73', '32-7=25'] Exploring Operation: 73-25=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[79, 6, 32, 7], Operations: [] Exploring Operation: 79-7=72, Resulting Numbers: [6, 32, 72] Generated Node #0,0: 48:[6, 32, 72] Operation: 79-7=72 Exploring Operation: 32-7=25, Resulting Numbers: [79, 6, 25] Generated Node #0,1: 48:[79, 6, 25] Operation: 32-7=25 Exploring Operation: 79-32=47, Resulting Numbers: [6, 7, 47] Generated Node #0,2: 48:[6, 7, 47] Operation: 79-32=47 Start Sub Search at level 1: Moving to Node #0,2 Current State: 48:[6, 7, 47], Operations: ['79-32=47'] Exploring Operation: 6+47=53, Resulting Numbers: [7, 53] Generated Node #0,2,0: 48:[7, 53] Operation: 6+47=53 Exploring Operation: 7-6=1, Resulting Numbers: [47, 1] Generated Node #0,2,1: 48:[47, 1] Operation: 7-6=1 Exploring Operation: 6+7=13, Resulting Numbers: [47, 13] Generated Node #0,2,2: 48:[47, 13] Operation: 6+7=13 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 48:[47, 1], Operations: ['79-32=47', '7-6=1'] Exploring Operation: 47/1=47, Resulting Numbers: [47] 47,48 unequal: No Solution Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[79, 6, 32, 7], Operations: [] Exploring Operation: 79-32=47, Resulting Numbers: [6, 7, 47] Generated Node #0,2: 48:[6, 7, 47] Operation: 79-32=47 Moving to Node #0,2 Current State: 48:[6, 7, 47], Operations: ['79-32=47'] Exploring Operation: 7-6=1, Resulting Numbers: [47, 1] Generated Node #0,2,1: 48:[47, 1] Operation: 7-6=1 Moving to Node #0,2,1 Current State: 48:[47, 1], Operations: ['79-32=47', '7-6=1'] Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_3
sum_heuristic
[ 96, 91, 30, 47 ]
12
[ "96-91=5", "47-30=17", "17-5=12" ]
Current State: 12:[96, 91, 30, 47], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [30, 47, 5] Generated Node #2: [30, 47, 5] from Operation: 96-91=5 Current State: 12:[30, 47, 5], Operations: ['96-91=5'] Exploring Operation: 47-30=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 47-30=17 Current State: 12:[5, 17], Operations: ['96-91=5', '47-30=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[96, 91, 30, 47], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [30, 47, 5] Generated Node #0,0: 12:[30, 47, 5] Operation: 96-91=5 Moving to Node #0,0 Current State: 12:[30, 47, 5], Operations: ['96-91=5'] Exploring Operation: 47-30=17, Resulting Numbers: [5, 17] Generated Node #0,0,0: 12:[5, 17] Operation: 47-30=17 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 12:[5, 17], Operations: ['96-91=5', '47-30=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[96, 91, 30, 47], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [30, 47, 5] Generated Node #0,0: 12:[30, 47, 5] Operation: 96-91=5 Moving to Node #0,0 Current State: 12:[30, 47, 5], Operations: ['96-91=5'] Exploring Operation: 47-30=17, Resulting Numbers: [5, 17] Generated Node #0,0,0: 12:[5, 17] Operation: 47-30=17 Moving to Node #0,0,0 Current State: 12:[5, 17], Operations: ['96-91=5', '47-30=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 3, 49, 66, 6 ]
75
[ "3*49=147", "66+6=72", "147-72=75" ]
Current State: 75:[3, 49, 66, 6], Operations: [] Exploring Operation: 3*49=147, Resulting Numbers: [66, 6, 147] Generated Node #2: [66, 6, 147] from Operation: 3*49=147 Current State: 75:[66, 6, 147], Operations: ['3*49=147'] Exploring Operation: 66+6=72, Resulting Numbers: [147, 72] Generated Node #3: [147, 72] from Operation: 66+6=72 Current State: 75:[147, 72], Operations: ['3*49=147', '66+6=72'] Exploring Operation: 147-72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[3, 49, 66, 6], Operations: [] Exploring Operation: 66-49=17, Resulting Numbers: [3, 6, 17] Generated Node #0,0: 75:[3, 6, 17] Operation: 66-49=17 Exploring Operation: 66+6=72, Resulting Numbers: [3, 49, 72] Generated Node #0,1: 75:[3, 49, 72] Operation: 66+6=72 Exploring Operation: 49-6=43, Resulting Numbers: [3, 66, 43] Generated Node #0,2: 75:[3, 66, 43] Operation: 49-6=43 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[3, 6, 17], Operations: ['66-49=17'] Exploring Operation: 17-3=14, Resulting Numbers: [6, 14] Generated Node #0,0,0: 75:[6, 14] Operation: 17-3=14 Exploring Operation: 6-3=3, Resulting Numbers: [17, 3] Generated Node #0,0,1: 75:[17, 3] Operation: 6-3=3 Exploring Operation: 6+17=23, Resulting Numbers: [3, 23] Generated Node #0,0,2: 75:[3, 23] Operation: 6+17=23 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[6, 14], Operations: ['66-49=17', '17-3=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,75 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,75 unequal: No Solution Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,75 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: 75:[17, 3], Operations: ['66-49=17', '6-3=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,75 unequal: No Solution Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,75 unequal: No Solution Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,75 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: 75:[3, 23], Operations: ['66-49=17', '6+17=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,75 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,75 unequal: No Solution Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,75 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: 75:[3, 49, 72], Operations: ['66+6=72'] Exploring Operation: 72-49=23, Resulting Numbers: [3, 23] Generated Node #0,1,0: 75:[3, 23] Operation: 72-49=23 Exploring Operation: 49-3=46, Resulting Numbers: [72, 46] Generated Node #0,1,1: 75:[72, 46] Operation: 49-3=46 Exploring Operation: 3+72=75, Resulting Numbers: [49, 75] Generated Node #0,1,2: 75:[49, 75] Operation: 3+72=75 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 75:[3, 23], Operations: ['66+6=72', '72-49=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,75 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,75 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,75 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: 75:[72, 46], Operations: ['66+6=72', '49-3=46'] Exploring Operation: 72*46=3312, Resulting Numbers: [3312] 3312,75 unequal: No Solution Exploring Operation: 72-46=26, Resulting Numbers: [26] 26,75 unequal: No Solution Exploring Operation: 72+46=118, Resulting Numbers: [118] 118,75 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: 75:[49, 75], Operations: ['66+6=72', '3+72=75'] Exploring Operation: 75-49=26, Resulting Numbers: [26] 26,75 unequal: No Solution Exploring Operation: 49+75=124, Resulting Numbers: [124] 124,75 unequal: No Solution Exploring Operation: 49*75=3675, Resulting Numbers: [3675] 3675,75 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: 75:[3, 66, 43], Operations: ['49-6=43'] Exploring Operation: 3+66=69, Resulting Numbers: [43, 69] Generated Node #0,2,0: 75:[43, 69] Operation: 3+66=69 Exploring Operation: 66-43=23, Resulting Numbers: [3, 23] Generated Node #0,2,1: 75:[3, 23] Operation: 66-43=23 Exploring Operation: 66/3=22, Resulting Numbers: [43, 22] Generated Node #0,2,2: 75:[43, 22] Operation: 66/3=22 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 75:[3, 23], Operations: ['49-6=43', '66-43=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,75 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,75 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,75 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: 75:[43, 22], Operations: ['49-6=43', '66/3=22'] Exploring Operation: 43-22=21, Resulting Numbers: [21] 21,75 unequal: No Solution Exploring Operation: 43+22=65, Resulting Numbers: [65] 65,75 unequal: No Solution Exploring Operation: 43*22=946, Resulting Numbers: [946] 946,75 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: 75:[43, 69], Operations: ['49-6=43', '3+66=69'] Exploring Operation: 43+69=112, Resulting Numbers: [112] 112,75 unequal: No Solution Exploring Operation: 43*69=2967, Resulting Numbers: [2967] 2967,75 unequal: No Solution Exploring Operation: 69-43=26, Resulting Numbers: [26] 26,75 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
[ 13, 66, 33, 49 ]
60
[ "13+49=62", "66/33=2", "62-2=60" ]
Current State: 60:[13, 66, 33, 49], Operations: [] Exploring Operation: 13+49=62, Resulting Numbers: [66, 33, 62] Generated Node #2: [66, 33, 62] from Operation: 13+49=62 Current State: 60:[66, 33, 62], Operations: ['13+49=62'] Exploring Operation: 66/33=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 66/33=2 Current State: 60:[62, 2], Operations: ['13+49=62', '66/33=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[13, 66, 33, 49], Operations: [] Exploring Operation: 66-49=17, Resulting Numbers: [13, 33, 17] Generated Node #0,0: 60:[13, 33, 17] Operation: 66-49=17 Exploring Operation: 49-33=16, Resulting Numbers: [13, 66, 16] Generated Node #0,1: 60:[13, 66, 16] Operation: 49-33=16 Exploring Operation: 13+49=62, Resulting Numbers: [66, 33, 62] Generated Node #0,2: 60:[66, 33, 62] Operation: 13+49=62 Exploring Operation: 66/33=2, Resulting Numbers: [13, 49, 2] Generated Node #0,3: 60:[13, 49, 2] Operation: 66/33=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[13, 33, 17], Operations: ['66-49=17'] Exploring Operation: 17-13=4, Resulting Numbers: [33, 4] Generated Node #0,0,0: 60:[33, 4] Operation: 17-13=4 Exploring Operation: 33-17=16, Resulting Numbers: [13, 16] Generated Node #0,0,1: 60:[13, 16] Operation: 33-17=16 Exploring Operation: 13+17=30, Resulting Numbers: [33, 30] Generated Node #0,0,2: 60:[33, 30] Operation: 13+17=30 Exploring Operation: 33-13=20, Resulting Numbers: [17, 20] Generated Node #0,0,3: 60:[17, 20] Operation: 33-13=20 Moving to Node #0,0,1 Current State: 60:[13, 16], Operations: ['66-49=17', '33-17=16'] Exploring Operation: 13*16=208, Resulting Numbers: [208] 208,60 unequal: No Solution Exploring Operation: 13+16=29, Resulting Numbers: [29] 29,60 unequal: No Solution Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,60 unequal: No Solution Moving to Node #0,0,3 Current State: 60:[17, 20], Operations: ['66-49=17', '33-13=20'] Exploring Operation: 17*20=340, Resulting Numbers: [340] 340,60 unequal: No Solution Exploring Operation: 17+20=37, Resulting Numbers: [37] 37,60 unequal: No Solution Exploring Operation: 20-17=3, Resulting Numbers: [3] 3,60 unequal: No Solution Moving to Node #0,0,2 Current State: 60:[33, 30], Operations: ['66-49=17', '13+17=30'] Exploring Operation: 33-30=3, Resulting Numbers: [3] 3,60 unequal: No Solution Exploring Operation: 33*30=990, Resulting Numbers: [990] 990,60 unequal: No Solution Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,60 unequal: No Solution Moving to Node #0,0,0 Current State: 60:[33, 4], Operations: ['66-49=17', '17-13=4'] Exploring Operation: 33*4=132, Resulting Numbers: [132] 132,60 unequal: No Solution Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,60 unequal: No Solution Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,60 unequal: No Solution No 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: 60:[13, 66, 16], Operations: ['49-33=16'] Exploring Operation: 13+16=29, Resulting Numbers: [66, 29] Generated Node #0,1,0: 60:[66, 29] Operation: 13+16=29 Exploring Operation: 66-16=50, Resulting Numbers: [13, 50] Generated Node #0,1,1: 60:[13, 50] Operation: 66-16=50 Exploring Operation: 66-13=53, Resulting Numbers: [16, 53] Generated Node #0,1,2: 60:[16, 53] Operation: 66-13=53 Exploring Operation: 16-13=3, Resulting Numbers: [66, 3] Generated Node #0,1,3: 60:[66, 3] Operation: 16-13=3 Moving to Node #0,1,3 Current State: 60:[66, 3], Operations: ['49-33=16', '16-13=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,60 unequal: No Solution Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,60 unequal: No Solution Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,60 unequal: No Solution Exploring Operation: 66*3=198, Resulting Numbers: [198] 198,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[66, 29], Operations: ['49-33=16', '13+16=29'] Exploring Operation: 66-29=37, Resulting Numbers: [37] 37,60 unequal: No Solution Exploring Operation: 66*29=1914, Resulting Numbers: [1914] 1914,60 unequal: No Solution Exploring Operation: 66+29=95, Resulting Numbers: [95] 95,60 unequal: No Solution Moving to Node #0,1,2 Current State: 60:[16, 53], Operations: ['49-33=16', '66-13=53'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,60 unequal: No Solution Exploring Operation: 16*53=848, Resulting Numbers: [848] 848,60 unequal: No Solution Exploring Operation: 16+53=69, Resulting Numbers: [69] 69,60 unequal: No Solution Moving to Node #0,1,1 Current State: 60:[13, 50], Operations: ['49-33=16', '66-16=50'] Exploring Operation: 13*50=650, Resulting Numbers: [650] 650,60 unequal: No Solution Exploring Operation: 13+50=63, Resulting Numbers: [63] 63,60 unequal: No Solution Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,60 unequal: No Solution No 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: 60:[66, 33, 62], Operations: ['13+49=62'] Exploring Operation: 66-62=4, Resulting Numbers: [33, 4] Generated Node #0,2,0: 60:[33, 4] Operation: 66-62=4 Exploring Operation: 62-33=29, Resulting Numbers: [66, 29] Generated Node #0,2,1: 60:[66, 29] Operation: 62-33=29 Exploring Operation: 66-33=33, Resulting Numbers: [62, 33] Generated Node #0,2,2: 60:[62, 33] Operation: 66-33=33 Exploring Operation: 66/33=2, Resulting Numbers: [62, 2] Generated Node #0,2,3: 60:[62, 2] Operation: 66/33=2 Moving to Node #0,2,3 Current State: 60:[62, 2], Operations: ['13+49=62', '66/33=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[13, 66, 33, 49], Operations: [] Exploring Operation: 13+49=62, Resulting Numbers: [66, 33, 62] Generated Node #0,2: 60:[66, 33, 62] Operation: 13+49=62 Moving to Node #0,2 Current State: 60:[66, 33, 62], Operations: ['13+49=62'] Exploring Operation: 66/33=2, Resulting Numbers: [62, 2] Generated Node #0,2,3: 60:[62, 2] Operation: 66/33=2 Moving to Node #0,2,3 Current State: 60:[62, 2], Operations: ['13+49=62', '66/33=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 1
0.960069
hs_4
mult_heuristic
[ 82, 33, 88, 56 ]
95
[ "82-33=49", "88+56=144", "144-49=95" ]
Current State: 95:[82, 33, 88, 56], Operations: [] Exploring Operation: 82-33=49, Resulting Numbers: [88, 56, 49] Generated Node #2: [88, 56, 49] from Operation: 82-33=49 Current State: 95:[88, 56, 49], Operations: ['82-33=49'] Exploring Operation: 88+56=144, Resulting Numbers: [49, 144] Generated Node #3: [49, 144] from Operation: 88+56=144 Current State: 95:[49, 144], Operations: ['82-33=49', '88+56=144'] Exploring Operation: 144-49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[82, 33, 88, 56], Operations: [] Exploring Operation: 56-33=23, Resulting Numbers: [82, 88, 23] Generated Node #0,0: 95:[82, 88, 23] Operation: 56-33=23 Exploring Operation: 33+56=89, Resulting Numbers: [82, 88, 89] Generated Node #0,1: 95:[82, 88, 89] Operation: 33+56=89 Moving to Node #0,0 Current State: 95:[82, 88, 23], Operations: ['56-33=23'] Exploring Operation: 82+23=105, Resulting Numbers: [88, 105] Generated Node #0,0,0: 95:[88, 105] Operation: 82+23=105 Exploring Operation: 88-82=6, Resulting Numbers: [23, 6] Generated Node #0,0,1: 95:[23, 6] Operation: 88-82=6 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 95:[23, 6], Operations: ['56-33=23', '88-82=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,95 unequal: No Solution Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 95:[88, 105], Operations: ['56-33=23', '82+23=105'] Exploring Operation: 105-88=17, Resulting Numbers: [17] 17,95 unequal: No Solution Exploring Operation: 88+105=193, Resulting Numbers: [193] 193,95 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: 95:[82, 88, 89], Operations: ['33+56=89'] Exploring Operation: 88-82=6, Resulting Numbers: [89, 6] Generated Node #0,1,0: 95:[89, 6] Operation: 88-82=6 Exploring Operation: 89-82=7, Resulting Numbers: [88, 7] Generated Node #0,1,1: 95:[88, 7] Operation: 89-82=7 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 95:[89, 6], Operations: ['33+56=89', '88-82=6'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,95 unequal: No Solution Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[82, 33, 88, 56], Operations: [] Exploring Operation: 33+56=89, Resulting Numbers: [82, 88, 89] Generated Node #0,1: 95:[82, 88, 89] Operation: 33+56=89 Moving to Node #0,1 Current State: 95:[82, 88, 89], Operations: ['33+56=89'] Exploring Operation: 88-82=6, Resulting Numbers: [89, 6] Generated Node #0,1,0: 95:[89, 6] Operation: 88-82=6 Moving to Node #0,1,0 Current State: 95:[89, 6], Operations: ['33+56=89', '88-82=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_2
mult_heuristic
[ 34, 55, 43, 42 ]
41
[ "55-34=21", "42/21=2", "43-2=41" ]
Current State: 41:[34, 55, 43, 42], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [43, 42, 21] Generated Node #2: [43, 42, 21] from Operation: 55-34=21 Current State: 41:[43, 42, 21], Operations: ['55-34=21'] Exploring Operation: 42/21=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 42/21=2 Current State: 41:[43, 2], Operations: ['55-34=21', '42/21=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[34, 55, 43, 42], Operations: [] Exploring Operation: 55-43=12, Resulting Numbers: [34, 42, 12] Generated Node #0,0: 41:[34, 42, 12] Operation: 55-43=12 Exploring Operation: 55-34=21, Resulting Numbers: [43, 42, 21] Generated Node #0,1: 41:[43, 42, 21] Operation: 55-34=21 Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[43, 42, 21], Operations: ['55-34=21'] Exploring Operation: 43-21=22, Resulting Numbers: [42, 22] Generated Node #0,1,0: 41:[42, 22] Operation: 43-21=22 Exploring Operation: 42-21=21, Resulting Numbers: [43, 21] Generated Node #0,1,1: 41:[43, 21] Operation: 42-21=21 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 41:[42, 22], Operations: ['55-34=21', '43-21=22'] Exploring Operation: 42+22=64, Resulting Numbers: [64] 64,41 unequal: No Solution Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,41 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: 41:[43, 21], Operations: ['55-34=21', '42-21=21'] Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,41 unequal: No Solution Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,41 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: 41:[34, 42, 12], Operations: ['55-43=12'] Exploring Operation: 42-12=30, Resulting Numbers: [34, 30] Generated Node #0,0,0: 41:[34, 30] Operation: 42-12=30 Exploring Operation: 34+12=46, Resulting Numbers: [42, 46] Generated Node #0,0,1: 41:[42, 46] Operation: 34+12=46 Moving to Node #0,0,1 Current State: 41:[42, 46], Operations: ['55-43=12', '34+12=46'] Exploring Operation: 42+46=88, Resulting Numbers: [88] 88,41 unequal: No Solution Exploring Operation: 46-42=4, Resulting Numbers: [4] 4,41 unequal: No Solution Moving to Node #0,0,0 Current State: 41:[34, 30], Operations: ['55-43=12', '42-12=30'] Exploring Operation: 34+30=64, Resulting Numbers: [64] 64,41 unequal: No Solution Exploring Operation: 34-30=4, Resulting Numbers: [4] 4,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 2, 55, 21, 40 ]
28
[ "55-21=34", "2*34=68", "68-40=28" ]
Current State: 28:[2, 55, 21, 40], Operations: [] Exploring Operation: 55-21=34, Resulting Numbers: [2, 40, 34] Generated Node #2: [2, 40, 34] from Operation: 55-21=34 Current State: 28:[2, 40, 34], Operations: ['55-21=34'] Exploring Operation: 2*34=68, Resulting Numbers: [40, 68] Generated Node #3: [40, 68] from Operation: 2*34=68 Current State: 28:[40, 68], Operations: ['55-21=34', '2*34=68'] Exploring Operation: 68-40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[2, 55, 21, 40], Operations: [] Exploring Operation: 55-40=15, Resulting Numbers: [2, 21, 15] Generated Node #0,0: 28:[2, 21, 15] Operation: 55-40=15 Moving to Node #0,0 Current State: 28:[2, 21, 15], Operations: ['55-40=15'] Exploring Operation: 21-15=6, Resulting Numbers: [2, 6] Generated Node #0,0,0: 28:[2, 6] Operation: 21-15=6 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 28:[2, 6], Operations: ['55-40=15', '21-15=6'] Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 13, 39, 43, 2 ]
54
[ "43-13=30", "30/2=15", "39+15=54" ]
Current State: 54:[13, 39, 43, 2], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [39, 2, 30] Generated Node #2: [39, 2, 30] from Operation: 43-13=30 Current State: 54:[39, 2, 30], Operations: ['43-13=30'] Exploring Operation: 30/2=15, Resulting Numbers: [39, 15] Generated Node #3: [39, 15] from Operation: 30/2=15 Current State: 54:[39, 15], Operations: ['43-13=30', '30/2=15'] Exploring Operation: 39+15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[13, 39, 43, 2], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [13, 2, 4] Generated Node #0,0: 54:[13, 2, 4] Operation: 43-39=4 Moving to Node #0,0 Current State: 54:[13, 2, 4], Operations: ['43-39=4'] Exploring Operation: 13-4=9, Resulting Numbers: [2, 9] Generated Node #0,0,0: 54:[2, 9] Operation: 13-4=9 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 54:[2, 9], Operations: ['43-39=4', '13-4=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,54 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
[ 62, 35, 3, 61 ]
86
[ "62+35=97", "3*61=183", "183-97=86" ]
Current State: 86:[62, 35, 3, 61], Operations: [] Exploring Operation: 62+35=97, Resulting Numbers: [3, 61, 97] Generated Node #2: [3, 61, 97] from Operation: 62+35=97 Current State: 86:[3, 61, 97], Operations: ['62+35=97'] Exploring Operation: 3*61=183, Resulting Numbers: [97, 183] Generated Node #3: [97, 183] from Operation: 3*61=183 Current State: 86:[97, 183], Operations: ['62+35=97', '3*61=183'] Exploring Operation: 183-97=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[62, 35, 3, 61], Operations: [] Exploring Operation: 62+35=97, Resulting Numbers: [3, 61, 97] Generated Node #0,0: 86:[3, 61, 97] Operation: 62+35=97 Exploring Operation: 35+61=96, Resulting Numbers: [62, 3, 96] Generated Node #0,1: 86:[62, 3, 96] Operation: 35+61=96 Exploring Operation: 62-61=1, Resulting Numbers: [35, 3, 1] Generated Node #0,2: 86:[35, 3, 1] Operation: 62-61=1 Moving to Node #0,2 Current State: 86:[35, 3, 1], Operations: ['62-61=1'] Exploring Operation: 35+3=38, Resulting Numbers: [1, 38] Generated Node #0,2,0: 86:[1, 38] Operation: 35+3=38 Exploring Operation: 35+1=36, Resulting Numbers: [3, 36] Generated Node #0,2,1: 86:[3, 36] Operation: 35+1=36 Exploring Operation: 3-1=2, Resulting Numbers: [35, 2] Generated Node #0,2,2: 86:[35, 2] Operation: 3-1=2 Moving to Node #0,0 Current State: 86:[3, 61, 97], Operations: ['62+35=97'] Exploring Operation: 61-3=58, Resulting Numbers: [97, 58] Generated Node #0,0,0: 86:[97, 58] Operation: 61-3=58 Exploring Operation: 97-61=36, Resulting Numbers: [3, 36] Generated Node #0,0,1: 86:[3, 36] Operation: 97-61=36 Exploring Operation: 97-3=94, Resulting Numbers: [61, 94] Generated Node #0,0,2: 86:[61, 94] Operation: 97-3=94 Moving to Node #0,1 Current State: 86:[62, 3, 96], Operations: ['35+61=96'] Exploring Operation: 62-3=59, Resulting Numbers: [96, 59] Generated Node #0,1,0: 86:[96, 59] Operation: 62-3=59 Exploring Operation: 96-3=93, Resulting Numbers: [62, 93] Generated Node #0,1,1: 86:[62, 93] Operation: 96-3=93 Exploring Operation: 96-62=34, Resulting Numbers: [3, 34] Generated Node #0,1,2: 86:[3, 34] Operation: 96-62=34 Moving to Node #0,2,0 Current State: 86:[1, 38], Operations: ['62-61=1', '35+3=38'] Exploring Operation: 1*38=38, Resulting Numbers: [38] 38,86 unequal: No Solution Exploring Operation: 38/1=38, Resulting Numbers: [38] 38,86 unequal: No Solution Exploring Operation: 1+38=39, Resulting Numbers: [39] 39,86 unequal: No Solution Moving to Node #0,2,2 Current State: 86:[35, 2], Operations: ['62-61=1', '3-1=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,86 unequal: No Solution Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,86 unequal: No Solution Moving to Node #0,2,1 Current State: 86:[3, 36], Operations: ['62-61=1', '35+1=36'] Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,86 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,86 unequal: No Solution Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,86 unequal: No Solution Moving to Node #0,0,1 Current State: 86:[3, 36], Operations: ['62+35=97', '97-61=36'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,86 unequal: No Solution Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,86 unequal: No Solution Moving to Node #0,1,2 Current State: 86:[3, 34], Operations: ['35+61=96', '96-62=34'] Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,86 unequal: No Solution Exploring Operation: 3*34=102, Resulting Numbers: [102] 102,86 unequal: No Solution Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,86 unequal: No Solution Moving to Node #0,0,2 Current State: 86:[61, 94], Operations: ['62+35=97', '97-3=94'] Exploring Operation: 61+94=155, Resulting Numbers: [155] 155,86 unequal: No Solution Exploring Operation: 94-61=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 61*94=5734, Resulting Numbers: [5734] 5734,86 unequal: No Solution Moving to Node #0,1,1 Current State: 86:[62, 93], Operations: ['35+61=96', '96-3=93'] Exploring Operation: 93-62=31, Resulting Numbers: [31] 31,86 unequal: No Solution Exploring Operation: 62*93=5766, Resulting Numbers: [5766] 5766,86 unequal: No Solution Exploring Operation: 62+93=155, Resulting Numbers: [155] 155,86 unequal: No Solution Moving to Node #0,0,0 Current State: 86:[97, 58], Operations: ['62+35=97', '61-3=58'] Exploring Operation: 97*58=5626, Resulting Numbers: [5626] 5626,86 unequal: No Solution Exploring Operation: 97-58=39, Resulting Numbers: [39] 39,86 unequal: No Solution Exploring Operation: 97+58=155, Resulting Numbers: [155] 155,86 unequal: No Solution Moving to Node #0,1,0 Current State: 86:[96, 59], Operations: ['35+61=96', '62-3=59'] Exploring Operation: 96+59=155, Resulting Numbers: [155] 155,86 unequal: No Solution Exploring Operation: 96-59=37, Resulting Numbers: [37] 37,86 unequal: No Solution Exploring Operation: 96*59=5664, Resulting Numbers: [5664] 5664,86 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 97, 83, 61, 69 ]
50
[ "97+83=180", "61+69=130", "180-130=50" ]
Current State: 50:[97, 83, 61, 69], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [61, 69, 180] Generated Node #2: [61, 69, 180] from Operation: 97+83=180 Current State: 50:[61, 69, 180], Operations: ['97+83=180'] Exploring Operation: 61+69=130, Resulting Numbers: [180, 130] Generated Node #3: [180, 130] from Operation: 61+69=130 Current State: 50:[180, 130], Operations: ['97+83=180', '61+69=130'] Exploring Operation: 180-130=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[97, 83, 61, 69], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [61, 69, 14] Generated Node #0,0: 50:[61, 69, 14] Operation: 97-83=14 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[61, 69, 14], Operations: ['97-83=14'] Exploring Operation: 69-61=8, Resulting Numbers: [14, 8] Generated Node #0,0,0: 50:[14, 8] Operation: 69-61=8 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 50:[14, 8], Operations: ['97-83=14', '69-61=8'] Exploring Operation: 14-8=6, Resulting Numbers: [6] 6,50 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 No solution found.
0
hs_1
sum_heuristic
[ 61, 4, 81, 49 ]
27
[ "61-49=12", "4*81=324", "324/12=27" ]
Current State: 27:[61, 4, 81, 49], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [4, 81, 12] Generated Node #2: [4, 81, 12] from Operation: 61-49=12 Current State: 27:[4, 81, 12], Operations: ['61-49=12'] Exploring Operation: 4*81=324, Resulting Numbers: [12, 324] Generated Node #3: [12, 324] from Operation: 4*81=324 Current State: 27:[12, 324], Operations: ['61-49=12', '4*81=324'] Exploring Operation: 324/12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[61, 4, 81, 49], Operations: [] Exploring Operation: 81-61=20, Resulting Numbers: [4, 49, 20] Generated Node #0,0: 27:[4, 49, 20] Operation: 81-61=20 Exploring Operation: 61-49=12, Resulting Numbers: [4, 81, 12] Generated Node #0,1: 27:[4, 81, 12] Operation: 61-49=12 Exploring Operation: 81-49=32, Resulting Numbers: [61, 4, 32] Generated Node #0,2: 27:[61, 4, 32] Operation: 81-49=32 Exploring Operation: 61-4=57, Resulting Numbers: [81, 49, 57] Generated Node #0,3: 27:[81, 49, 57] Operation: 61-4=57 Exploring Operation: 81-4=77, Resulting Numbers: [61, 49, 77] Generated Node #0,4: 27:[61, 49, 77] Operation: 81-4=77 Moving to Node #0,0 Current State: 27:[4, 49, 20], Operations: ['81-61=20'] Exploring Operation: 49-20=29, Resulting Numbers: [4, 29] Generated Node #0,0,0: 27:[4, 29] Operation: 49-20=29 Exploring Operation: 49-4=45, Resulting Numbers: [20, 45] Generated Node #0,0,1: 27:[20, 45] Operation: 49-4=45 Exploring Operation: 4+20=24, Resulting Numbers: [49, 24] Generated Node #0,0,2: 27:[49, 24] Operation: 4+20=24 Exploring Operation: 20-4=16, Resulting Numbers: [49, 16] Generated Node #0,0,3: 27:[49, 16] Operation: 20-4=16 Exploring Operation: 20/4=5, Resulting Numbers: [49, 5] Generated Node #0,0,4: 27:[49, 5] Operation: 20/4=5 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 27:[4, 29], Operations: ['81-61=20', '49-20=29'] Exploring Operation: 4+29=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 4*29=116, Resulting Numbers: [116] 116,27 unequal: No Solution Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 27:[49, 5], Operations: ['81-61=20', '20/4=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,27 unequal: No Solution Exploring Operation: 49*5=245, Resulting Numbers: [245] 245,27 unequal: No Solution Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 27:[20, 45], Operations: ['81-61=20', '49-4=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,27 unequal: No Solution Exploring Operation: 45-20=25, Resulting Numbers: [25] 25,27 unequal: No Solution Exploring Operation: 20*45=900, Resulting Numbers: [900] 900,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 27:[49, 24], Operations: ['81-61=20', '4+20=24'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,27 unequal: No Solution Exploring Operation: 49*24=1176, Resulting Numbers: [1176] 1176,27 unequal: No Solution Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 27:[49, 16], Operations: ['81-61=20', '20-4=16'] Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,27 unequal: No Solution Exploring Operation: 49*16=784, Resulting Numbers: [784] 784,27 unequal: No Solution Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,27 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: 27:[61, 4, 32], Operations: ['81-49=32'] Exploring Operation: 32/4=8, Resulting Numbers: [61, 8] Generated Node #0,2,0: 27:[61, 8] Operation: 32/4=8 Exploring Operation: 32-4=28, Resulting Numbers: [61, 28] Generated Node #0,2,1: 27:[61, 28] Operation: 32-4=28 Exploring Operation: 61-4=57, Resulting Numbers: [32, 57] Generated Node #0,2,2: 27:[32, 57] Operation: 61-4=57 Exploring Operation: 61-32=29, Resulting Numbers: [4, 29] Generated Node #0,2,3: 27:[4, 29] Operation: 61-32=29 Exploring Operation: 61+4=65, Resulting Numbers: [32, 65] Generated Node #0,2,4: 27:[32, 65] Operation: 61+4=65 Moving to Node #0,1 Current State: 27:[4, 81, 12], Operations: ['61-49=12'] Exploring Operation: 81-4=77, Resulting Numbers: [12, 77] Generated Node #0,1,0: 27:[12, 77] Operation: 81-4=77 Exploring Operation: 12-4=8, Resulting Numbers: [81, 8] Generated Node #0,1,1: 27:[81, 8] Operation: 12-4=8 Exploring Operation: 81-12=69, Resulting Numbers: [4, 69] Generated Node #0,1,2: 27:[4, 69] Operation: 81-12=69 Exploring Operation: 12/4=3, Resulting Numbers: [81, 3] Generated Node #0,1,3: 27:[81, 3] Operation: 12/4=3 Exploring Operation: 4+81=85, Resulting Numbers: [12, 85] Generated Node #0,1,4: 27:[12, 85] Operation: 4+81=85 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 27:[4, 69], Operations: ['61-49=12', '81-12=69'] Exploring Operation: 4*69=276, Resulting Numbers: [276] 276,27 unequal: No Solution Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,27 unequal: No Solution Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 27:[12, 77], Operations: ['61-49=12', '81-4=77'] Exploring Operation: 12*77=924, Resulting Numbers: [924] 924,27 unequal: No Solution Exploring Operation: 12+77=89, Resulting Numbers: [89] 89,27 unequal: No Solution Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 27:[81, 3], Operations: ['61-49=12', '12/4=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[61, 4, 81, 49], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [4, 81, 12] Generated Node #0,1: 27:[4, 81, 12] Operation: 61-49=12 Moving to Node #0,1 Current State: 27:[4, 81, 12], Operations: ['61-49=12'] Exploring Operation: 12/4=3, Resulting Numbers: [81, 3] Generated Node #0,1,3: 27:[81, 3] Operation: 12/4=3 Moving to Node #0,1,3 Current State: 27:[81, 3], Operations: ['61-49=12', '12/4=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.960069
hs_5
mult_heuristic
[ 68, 70, 12, 36 ]
22
[ "70-68=2", "36-12=24", "24-2=22" ]
Current State: 22:[68, 70, 12, 36], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [12, 36, 2] Generated Node #2: [12, 36, 2] from Operation: 70-68=2 Current State: 22:[12, 36, 2], Operations: ['70-68=2'] Exploring Operation: 36-12=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 36-12=24 Current State: 22:[2, 24], Operations: ['70-68=2', '36-12=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[68, 70, 12, 36], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [12, 36, 2] Generated Node #0,0: 22:[12, 36, 2] Operation: 70-68=2 Exploring Operation: 70-36=34, Resulting Numbers: [68, 12, 34] Generated Node #0,1: 22:[68, 12, 34] Operation: 70-36=34 Exploring Operation: 68-36=32, Resulting Numbers: [70, 12, 32] Generated Node #0,2: 22:[70, 12, 32] Operation: 68-36=32 Moving to Node #0,0 Current State: 22:[12, 36, 2], Operations: ['70-68=2'] Exploring Operation: 36/12=3, Resulting Numbers: [2, 3] Generated Node #0,0,0: 22:[2, 3] Operation: 36/12=3 Exploring Operation: 36/2=18, Resulting Numbers: [12, 18] Generated Node #0,0,1: 22:[12, 18] Operation: 36/2=18 Exploring Operation: 36-12=24, Resulting Numbers: [2, 24] Generated Node #0,0,2: 22:[2, 24] Operation: 36-12=24 Moving to Node #0,1 Current State: 22:[68, 12, 34], Operations: ['70-36=34'] Exploring Operation: 68-12=56, Resulting Numbers: [34, 56] Generated Node #0,1,0: 22:[34, 56] Operation: 68-12=56 Exploring Operation: 68/34=2, Resulting Numbers: [12, 2] Generated Node #0,1,1: 22:[12, 2] Operation: 68/34=2 Exploring Operation: 68-34=34, Resulting Numbers: [12, 34] Generated Node #0,1,2: 22:[12, 34] Operation: 68-34=34 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 22:[12, 2], Operations: ['70-36=34', '68/34=2'] Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,22 unequal: No Solution Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,22 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,22 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 22:[12, 34], Operations: ['70-36=34', '68-34=34'] Exploring Operation: 34-12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[68, 70, 12, 36], Operations: [] Exploring Operation: 70-36=34, Resulting Numbers: [68, 12, 34] Generated Node #0,1: 22:[68, 12, 34] Operation: 70-36=34 Moving to Node #0,1 Current State: 22:[68, 12, 34], Operations: ['70-36=34'] Exploring Operation: 68-34=34, Resulting Numbers: [12, 34] Generated Node #0,1,2: 22:[12, 34] Operation: 68-34=34 Moving to Node #0,1,2 Current State: 22:[12, 34], Operations: ['70-36=34', '68-34=34'] Exploring Operation: 34-12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_3
mult_heuristic
[ 44, 42, 89, 71 ]
36
[ "44-42=2", "89-71=18", "2*18=36" ]
Current State: 36:[44, 42, 89, 71], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [89, 71, 2] Generated Node #2: [89, 71, 2] from Operation: 44-42=2 Current State: 36:[89, 71, 2], Operations: ['44-42=2'] Exploring Operation: 89-71=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 89-71=18 Current State: 36:[2, 18], Operations: ['44-42=2', '89-71=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[44, 42, 89, 71], Operations: [] Exploring Operation: 71-42=29, Resulting Numbers: [44, 89, 29] Generated Node #0,0: 36:[44, 89, 29] Operation: 71-42=29 Exploring Operation: 89-44=45, Resulting Numbers: [42, 71, 45] Generated Node #0,1: 36:[42, 71, 45] Operation: 89-44=45 Exploring Operation: 71-44=27, Resulting Numbers: [42, 89, 27] Generated Node #0,2: 36:[42, 89, 27] Operation: 71-44=27 Exploring Operation: 89-71=18, Resulting Numbers: [44, 42, 18] Generated Node #0,3: 36:[44, 42, 18] Operation: 89-71=18 Exploring Operation: 89-42=47, Resulting Numbers: [44, 71, 47] Generated Node #0,4: 36:[44, 71, 47] Operation: 89-42=47 Start Sub Search at level 1: Moving to Node #0,3 Current State: 36:[44, 42, 18], Operations: ['89-71=18'] Exploring Operation: 42-18=24, Resulting Numbers: [44, 24] Generated Node #0,3,0: 36:[44, 24] Operation: 42-18=24 Exploring Operation: 44+18=62, Resulting Numbers: [42, 62] Generated Node #0,3,1: 36:[42, 62] Operation: 44+18=62 Exploring Operation: 42+18=60, Resulting Numbers: [44, 60] Generated Node #0,3,2: 36:[44, 60] Operation: 42+18=60 Exploring Operation: 44-42=2, Resulting Numbers: [18, 2] Generated Node #0,3,3: 36:[18, 2] Operation: 44-42=2 Exploring Operation: 44-18=26, Resulting Numbers: [42, 26] Generated Node #0,3,4: 36:[42, 26] Operation: 44-18=26 Moving to Node #0,3,3 Current State: 36:[18, 2], Operations: ['89-71=18', '44-42=2'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,36 unequal: No Solution Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,36 unequal: No Solution Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[44, 42, 89, 71], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [44, 42, 18] Generated Node #0,3: 36:[44, 42, 18] Operation: 89-71=18 Moving to Node #0,3 Current State: 36:[44, 42, 18], Operations: ['89-71=18'] Exploring Operation: 44-42=2, Resulting Numbers: [18, 2] Generated Node #0,3,3: 36:[18, 2] Operation: 44-42=2 Moving to Node #0,3,3 Current State: 36:[18, 2], Operations: ['89-71=18', '44-42=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 1, 59, 2, 38 ]
49
[ "1+59=60", "38+60=98", "98/2=49" ]
Current State: 49:[1, 59, 2, 38], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [2, 38, 60] Generated Node #2: [2, 38, 60] from Operation: 1+59=60 Current State: 49:[2, 38, 60], Operations: ['1+59=60'] Exploring Operation: 38+60=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 38+60=98 Current State: 49:[2, 98], Operations: ['1+59=60', '38+60=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[1, 59, 2, 38], Operations: [] Exploring Operation: 1+38=39, Resulting Numbers: [59, 2, 39] Generated Node #0,0: 49:[59, 2, 39] Operation: 1+38=39 Exploring Operation: 1+2=3, Resulting Numbers: [59, 38, 3] Generated Node #0,1: 49:[59, 38, 3] Operation: 1+2=3 Exploring Operation: 59-1=58, Resulting Numbers: [2, 38, 58] Generated Node #0,2: 49:[2, 38, 58] Operation: 59-1=58 Exploring Operation: 59-2=57, Resulting Numbers: [1, 38, 57] Generated Node #0,3: 49:[1, 38, 57] Operation: 59-2=57 Moving to Node #0,0 Current State: 49:[59, 2, 39], Operations: ['1+38=39'] Exploring Operation: 59-39=20, Resulting Numbers: [2, 20] Generated Node #0,0,0: 49:[2, 20] Operation: 59-39=20 Exploring Operation: 59-2=57, Resulting Numbers: [39, 57] Generated Node #0,0,1: 49:[39, 57] Operation: 59-2=57 Exploring Operation: 59+2=61, Resulting Numbers: [39, 61] Generated Node #0,0,2: 49:[39, 61] Operation: 59+2=61 Exploring Operation: 2+39=41, Resulting Numbers: [59, 41] Generated Node #0,0,3: 49:[59, 41] Operation: 2+39=41 Moving to Node #0,2 Current State: 49:[2, 38, 58], Operations: ['59-1=58'] Exploring Operation: 2+38=40, Resulting Numbers: [58, 40] Generated Node #0,2,0: 49:[58, 40] Operation: 2+38=40 Exploring Operation: 38/2=19, Resulting Numbers: [58, 19] Generated Node #0,2,1: 49:[58, 19] Operation: 38/2=19 Exploring Operation: 58-2=56, Resulting Numbers: [38, 56] Generated Node #0,2,2: 49:[38, 56] Operation: 58-2=56 Exploring Operation: 58-38=20, Resulting Numbers: [2, 20] Generated Node #0,2,3: 49:[2, 20] Operation: 58-38=20 Moving to Node #0,1 Current State: 49:[59, 38, 3], Operations: ['1+2=3'] Exploring Operation: 59+3=62, Resulting Numbers: [38, 62] Generated Node #0,1,0: 49:[38, 62] Operation: 59+3=62 Exploring Operation: 38+3=41, Resulting Numbers: [59, 41] Generated Node #0,1,1: 49:[59, 41] Operation: 38+3=41 Exploring Operation: 59-3=56, Resulting Numbers: [38, 56] Generated Node #0,1,2: 49:[38, 56] Operation: 59-3=56 Exploring Operation: 59-38=21, Resulting Numbers: [3, 21] Generated Node #0,1,3: 49:[3, 21] Operation: 59-38=21 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 49:[59, 41], Operations: ['1+2=3', '38+3=41'] Exploring Operation: 59*41=2419, Resulting Numbers: [2419] 2419,49 unequal: No Solution Exploring Operation: 59+41=100, Resulting Numbers: [100] 100,49 unequal: No Solution Exploring Operation: 59-41=18, Resulting Numbers: [18] 18,49 unequal: No Solution No 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: 49:[38, 56], Operations: ['1+2=3', '59-3=56'] Exploring Operation: 38+56=94, Resulting Numbers: [94] 94,49 unequal: No Solution Exploring Operation: 38*56=2128, Resulting Numbers: [2128] 2128,49 unequal: No Solution Exploring Operation: 56-38=18, Resulting Numbers: [18] 18,49 unequal: No Solution No 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: 49:[3, 21], Operations: ['1+2=3', '59-38=21'] Exploring Operation: 3+21=24, Resulting Numbers: [24] 24,49 unequal: No Solution Exploring Operation: 21/3=7, Resulting Numbers: [7] 7,49 unequal: No Solution Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,49 unequal: No Solution Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,49 unequal: No Solution No 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: 49:[38, 62], Operations: ['1+2=3', '59+3=62'] Exploring Operation: 38*62=2356, Resulting Numbers: [2356] 2356,49 unequal: No Solution Exploring Operation: 38+62=100, Resulting Numbers: [100] 100,49 unequal: No Solution Exploring Operation: 62-38=24, Resulting Numbers: [24] 24,49 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: 49:[1, 38, 57], Operations: ['59-2=57'] Exploring Operation: 57-38=19, Resulting Numbers: [1, 19] Generated Node #0,3,0: 49:[1, 19] Operation: 57-38=19 Exploring Operation: 1+38=39, Resulting Numbers: [57, 39] Generated Node #0,3,1: 49:[57, 39] Operation: 1+38=39 Exploring Operation: 57-1=56, Resulting Numbers: [38, 56] Generated Node #0,3,2: 49:[38, 56] Operation: 57-1=56 Exploring Operation: 1*38=38, Resulting Numbers: [57, 38] Generated Node #0,3,3: 49:[57, 38] Operation: 1*38=38 Moving to Node #0,0,0 Current State: 49:[2, 20], Operations: ['1+38=39', '59-39=20'] Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,49 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,49 unequal: No Solution Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,49 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,49 unequal: No Solution Moving to Node #0,0,3 Current State: 49:[59, 41], Operations: ['1+38=39', '2+39=41'] Exploring Operation: 59*41=2419, Resulting Numbers: [2419] 2419,49 unequal: No Solution Exploring Operation: 59+41=100, Resulting Numbers: [100] 100,49 unequal: No Solution Exploring Operation: 59-41=18, Resulting Numbers: [18] 18,49 unequal: No Solution Moving to Node #0,2,3 Current State: 49:[2, 20], Operations: ['59-1=58', '58-38=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,49 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,49 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,49 unequal: No Solution Moving to Node #0,2,2 Current State: 49:[38, 56], Operations: ['59-1=58', '58-2=56'] Exploring Operation: 38*56=2128, Resulting Numbers: [2128] 2128,49 unequal: No Solution Exploring Operation: 56-38=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 38+56=94, Resulting Numbers: [94] 94,49 unequal: No Solution Moving to Node #0,3,2 Current State: 49:[38, 56], Operations: ['59-2=57', '57-1=56'] Exploring Operation: 38+56=94, Resulting Numbers: [94] 94,49 unequal: No Solution Exploring Operation: 56-38=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 38*56=2128, Resulting Numbers: [2128] 2128,49 unequal: No Solution Moving to Node #0,3,1 Current State: 49:[57, 39], Operations: ['59-2=57', '1+38=39'] Exploring Operation: 57*39=2223, Resulting Numbers: [2223] 2223,49 unequal: No Solution Exploring Operation: 57+39=96, Resulting Numbers: [96] 96,49 unequal: No Solution Exploring Operation: 57-39=18, Resulting Numbers: [18] 18,49 unequal: No Solution Moving to Node #0,0,1 Current State: 49:[39, 57], Operations: ['1+38=39', '59-2=57'] Exploring Operation: 39*57=2223, Resulting Numbers: [2223] 2223,49 unequal: No Solution Exploring Operation: 39+57=96, Resulting Numbers: [96] 96,49 unequal: No Solution Exploring Operation: 57-39=18, Resulting Numbers: [18] 18,49 unequal: No Solution Moving to Node #0,2,0 Current State: 49:[58, 40], Operations: ['59-1=58', '2+38=40'] Exploring Operation: 58+40=98, Resulting Numbers: [98] 98,49 unequal: No Solution Exploring Operation: 58-40=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 58*40=2320, Resulting Numbers: [2320] 2320,49 unequal: No Solution Moving to Node #0,3,0 Current State: 49:[1, 19], Operations: ['59-2=57', '57-38=19'] Exploring Operation: 19/1=19, Resulting Numbers: [19] 19,49 unequal: No Solution Exploring Operation: 1+19=20, Resulting Numbers: [20] 20,49 unequal: No Solution Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 1*19=19, Resulting Numbers: [19] 19,49 unequal: No Solution Moving to Node #0,3,3 Current State: 49:[57, 38], Operations: ['59-2=57', '1*38=38'] Exploring Operation: 57*38=2166, Resulting Numbers: [2166] 2166,49 unequal: No Solution Exploring Operation: 57-38=19, Resulting Numbers: [19] 19,49 unequal: No Solution Exploring Operation: 57+38=95, Resulting Numbers: [95] 95,49 unequal: No Solution Moving to Node #0,2,1 Current State: 49:[58, 19], Operations: ['59-1=58', '38/2=19'] Exploring Operation: 58+19=77, Resulting Numbers: [77] 77,49 unequal: No Solution Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,49 unequal: No Solution Exploring Operation: 58*19=1102, Resulting Numbers: [1102] 1102,49 unequal: No Solution Moving to Node #0,0,2 Current State: 49:[39, 61], Operations: ['1+38=39', '59+2=61'] Exploring Operation: 39*61=2379, Resulting Numbers: [2379] 2379,49 unequal: No Solution Exploring Operation: 39+61=100, Resulting Numbers: [100] 100,49 unequal: No Solution Exploring Operation: 61-39=22, Resulting Numbers: [22] 22,49 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 30, 24, 1, 26 ]
100
[ "30-26=4", "24+1=25", "4*25=100" ]
Current State: 100:[30, 24, 1, 26], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [24, 1, 4] Generated Node #2: [24, 1, 4] from Operation: 30-26=4 Current State: 100:[24, 1, 4], Operations: ['30-26=4'] Exploring Operation: 24+1=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 24+1=25 Current State: 100:[4, 25], Operations: ['30-26=4', '24+1=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[30, 24, 1, 26], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [24, 1, 4] Generated Node #0,0: 100:[24, 1, 4] Operation: 30-26=4 Exploring Operation: 30-24=6, Resulting Numbers: [1, 26, 6] Generated Node #0,1: 100:[1, 26, 6] Operation: 30-24=6 Moving to Node #0,0 Current State: 100:[24, 1, 4], Operations: ['30-26=4'] Exploring Operation: 24+1=25, Resulting Numbers: [4, 25] Generated Node #0,0,0: 100:[4, 25] Operation: 24+1=25 Exploring Operation: 24*1=24, Resulting Numbers: [4, 24] Generated Node #0,0,1: 100:[4, 24] Operation: 24*1=24 Moving to Node #0,1 Current State: 100:[1, 26, 6], Operations: ['30-24=6'] Exploring Operation: 6-1=5, Resulting Numbers: [26, 5] Generated Node #0,1,0: 100:[26, 5] Operation: 6-1=5 Exploring Operation: 26-1=25, Resulting Numbers: [6, 25] Generated Node #0,1,1: 100:[6, 25] Operation: 26-1=25 Moving to Node #0,0,0 Current State: 100:[4, 25], Operations: ['30-26=4', '24+1=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[30, 24, 1, 26], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [24, 1, 4] Generated Node #0,0: 100:[24, 1, 4] Operation: 30-26=4 Moving to Node #0,0 Current State: 100:[24, 1, 4], Operations: ['30-26=4'] Exploring Operation: 24+1=25, Resulting Numbers: [4, 25] Generated Node #0,0,0: 100:[4, 25] Operation: 24+1=25 Moving to Node #0,0,0 Current State: 100:[4, 25], Operations: ['30-26=4', '24+1=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
0.990451
hs_2
mult_heuristic
[ 53, 35, 84, 8 ]
94
[ "53-35=18", "84-8=76", "18+76=94" ]
Current State: 94:[53, 35, 84, 8], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [84, 8, 18] Generated Node #2: [84, 8, 18] from Operation: 53-35=18 Current State: 94:[84, 8, 18], Operations: ['53-35=18'] Exploring Operation: 84-8=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 84-8=76 Current State: 94:[18, 76], Operations: ['53-35=18', '84-8=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[53, 35, 84, 8], Operations: [] Exploring Operation: 35+8=43, Resulting Numbers: [53, 84, 43] Generated Node #0,0: 94:[53, 84, 43] Operation: 35+8=43 Exploring Operation: 84-35=49, Resulting Numbers: [53, 8, 49] Generated Node #0,1: 94:[53, 8, 49] Operation: 84-35=49 Start Sub Search at level 1: Moving to Node #0,1 Current State: 94:[53, 8, 49], Operations: ['84-35=49'] Exploring Operation: 53-49=4, Resulting Numbers: [8, 4] Generated Node #0,1,0: 94:[8, 4] Operation: 53-49=4 Exploring Operation: 53-8=45, Resulting Numbers: [49, 45] Generated Node #0,1,1: 94:[49, 45] Operation: 53-8=45 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 94:[49, 45], Operations: ['84-35=49', '53-8=45'] Exploring Operation: 49+45=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[53, 35, 84, 8], Operations: [] Exploring Operation: 84-35=49, Resulting Numbers: [53, 8, 49] Generated Node #0,1: 94:[53, 8, 49] Operation: 84-35=49 Moving to Node #0,1 Current State: 94:[53, 8, 49], Operations: ['84-35=49'] Exploring Operation: 53-8=45, Resulting Numbers: [49, 45] Generated Node #0,1,1: 94:[49, 45] Operation: 53-8=45 Moving to Node #0,1,1 Current State: 94:[49, 45], Operations: ['84-35=49', '53-8=45'] Exploring Operation: 49+45=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 94, 57, 60, 61 ]
99
[ "94-61=33", "60-57=3", "33*3=99" ]
Current State: 99:[94, 57, 60, 61], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [57, 60, 33] Generated Node #2: [57, 60, 33] from Operation: 94-61=33 Current State: 99:[57, 60, 33], Operations: ['94-61=33'] Exploring Operation: 60-57=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 60-57=3 Current State: 99:[33, 3], Operations: ['94-61=33', '60-57=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[94, 57, 60, 61], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [94, 61, 3] Generated Node #0,0: 99:[94, 61, 3] Operation: 60-57=3 Exploring Operation: 94-61=33, Resulting Numbers: [57, 60, 33] Generated Node #0,1: 99:[57, 60, 33] Operation: 94-61=33 Exploring Operation: 61-57=4, Resulting Numbers: [94, 60, 4] Generated Node #0,2: 99:[94, 60, 4] Operation: 61-57=4 Exploring Operation: 61-60=1, Resulting Numbers: [94, 57, 1] Generated Node #0,3: 99:[94, 57, 1] Operation: 61-60=1 Start Sub Search at level 1: Moving to Node #0,3 Current State: 99:[94, 57, 1], Operations: ['61-60=1'] Exploring Operation: 94*1=94, Resulting Numbers: [57, 94] Generated Node #0,3,0: 99:[57, 94] Operation: 94*1=94 Exploring Operation: 94+1=95, Resulting Numbers: [57, 95] Generated Node #0,3,1: 99:[57, 95] Operation: 94+1=95 Exploring Operation: 94-57=37, Resulting Numbers: [1, 37] Generated Node #0,3,2: 99:[1, 37] Operation: 94-57=37 Exploring Operation: 57-1=56, Resulting Numbers: [94, 56] Generated Node #0,3,3: 99:[94, 56] Operation: 57-1=56 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 99:[1, 37], Operations: ['61-60=1', '94-57=37'] Exploring Operation: 37/1=37, Resulting Numbers: [37] 37,99 unequal: No Solution Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 1*37=37, Resulting Numbers: [37] 37,99 unequal: No Solution Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,99 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 #0,3,1 Current State: 99:[57, 95], Operations: ['61-60=1', '94+1=95'] Exploring Operation: 57*95=5415, Resulting Numbers: [5415] 5415,99 unequal: No Solution Exploring Operation: 57+95=152, Resulting Numbers: [152] 152,99 unequal: No Solution Exploring Operation: 95-57=38, Resulting Numbers: [38] 38,99 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 #0,3,3 Current State: 99:[94, 56], Operations: ['61-60=1', '57-1=56'] Exploring Operation: 94*56=5264, Resulting Numbers: [5264] 5264,99 unequal: No Solution Exploring Operation: 94+56=150, Resulting Numbers: [150] 150,99 unequal: No Solution Exploring Operation: 94-56=38, Resulting Numbers: [38] 38,99 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 #0,3,0 Current State: 99:[57, 94], Operations: ['61-60=1', '94*1=94'] Exploring Operation: 57*94=5358, Resulting Numbers: [5358] 5358,99 unequal: No Solution Exploring Operation: 57+94=151, Resulting Numbers: [151] 151,99 unequal: No Solution Exploring Operation: 94-57=37, Resulting Numbers: [37] 37,99 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: 99:[94, 61, 3], Operations: ['60-57=3'] Exploring Operation: 94+3=97, Resulting Numbers: [61, 97] Generated Node #0,0,0: 99:[61, 97] Operation: 94+3=97 Exploring Operation: 94-61=33, Resulting Numbers: [3, 33] Generated Node #0,0,1: 99:[3, 33] Operation: 94-61=33 Exploring Operation: 94-3=91, Resulting Numbers: [61, 91] Generated Node #0,0,2: 99:[61, 91] Operation: 94-3=91 Exploring Operation: 61-3=58, Resulting Numbers: [94, 58] Generated Node #0,0,3: 99:[94, 58] Operation: 61-3=58 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 99:[3, 33], Operations: ['60-57=3', '94-61=33'] Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,99 unequal: No Solution Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[94, 57, 60, 61], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [94, 61, 3] Generated Node #0,0: 99:[94, 61, 3] Operation: 60-57=3 Moving to Node #0,0 Current State: 99:[94, 61, 3], Operations: ['60-57=3'] Exploring Operation: 94-61=33, Resulting Numbers: [3, 33] Generated Node #0,0,1: 99:[3, 33] Operation: 94-61=33 Moving to Node #0,0,1 Current State: 99:[3, 33], Operations: ['60-57=3', '94-61=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.97309
hs_4
sum_heuristic
[ 80, 99, 49, 59 ]
29
[ "99-80=19", "59-49=10", "19+10=29" ]
Current State: 29:[80, 99, 49, 59], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [49, 59, 19] Generated Node #2: [49, 59, 19] from Operation: 99-80=19 Current State: 29:[49, 59, 19], Operations: ['99-80=19'] Exploring Operation: 59-49=10, Resulting Numbers: [19, 10] Generated Node #3: [19, 10] from Operation: 59-49=10 Current State: 29:[19, 10], Operations: ['99-80=19', '59-49=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[80, 99, 49, 59], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [49, 59, 19] Generated Node #0,0: 29:[49, 59, 19] Operation: 99-80=19 Exploring Operation: 99-59=40, Resulting Numbers: [80, 49, 40] Generated Node #0,1: 29:[80, 49, 40] Operation: 99-59=40 Moving to Node #0,0 Current State: 29:[49, 59, 19], Operations: ['99-80=19'] Exploring Operation: 49-19=30, Resulting Numbers: [59, 30] Generated Node #0,0,0: 29:[59, 30] Operation: 49-19=30 Exploring Operation: 59-49=10, Resulting Numbers: [19, 10] Generated Node #0,0,1: 29:[19, 10] Operation: 59-49=10 Moving to Node #0,1 Current State: 29:[80, 49, 40], Operations: ['99-59=40'] Exploring Operation: 80-40=40, Resulting Numbers: [49, 40] Generated Node #0,1,0: 29:[49, 40] Operation: 80-40=40 Exploring Operation: 80-49=31, Resulting Numbers: [40, 31] Generated Node #0,1,1: 29:[40, 31] Operation: 80-49=31 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 29:[40, 31], Operations: ['99-59=40', '80-49=31'] Exploring Operation: 40-31=9, Resulting Numbers: [9] 9,29 unequal: No Solution Exploring Operation: 40+31=71, Resulting Numbers: [71] 71,29 unequal: No Solution No 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: 29:[49, 40], Operations: ['99-59=40', '80-40=40'] Exploring Operation: 49+40=89, Resulting Numbers: [89] 89,29 unequal: No Solution Exploring Operation: 49-40=9, Resulting Numbers: [9] 9,29 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: 29:[19, 10], Operations: ['99-80=19', '59-49=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Moving to Node #0 Current State: 29:[80, 99, 49, 59], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [49, 59, 19] Generated Node #0,0: 29:[49, 59, 19] Operation: 99-80=19 Moving to Node #0,0 Current State: 29:[49, 59, 19], Operations: ['99-80=19'] Exploring Operation: 59-49=10, Resulting Numbers: [19, 10] Generated Node #0,0,1: 29:[19, 10] Operation: 59-49=10 Moving to Node #0,0,1 Current State: 29:[19, 10], Operations: ['99-80=19', '59-49=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
0.986979
hs_2
mult_heuristic
[ 31, 48, 40, 45 ]
74
[ "31+48=79", "45-40=5", "79-5=74" ]
Current State: 74:[31, 48, 40, 45], Operations: [] Exploring Operation: 31+48=79, Resulting Numbers: [40, 45, 79] Generated Node #2: [40, 45, 79] from Operation: 31+48=79 Current State: 74:[40, 45, 79], Operations: ['31+48=79'] Exploring Operation: 45-40=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 45-40=5 Current State: 74:[79, 5], Operations: ['31+48=79', '45-40=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[31, 48, 40, 45], Operations: [] Exploring Operation: 31+48=79, Resulting Numbers: [40, 45, 79] Generated Node #0,0: 74:[40, 45, 79] Operation: 31+48=79 Exploring Operation: 48-45=3, Resulting Numbers: [31, 40, 3] Generated Node #0,1: 74:[31, 40, 3] Operation: 48-45=3 Exploring Operation: 31+45=76, Resulting Numbers: [48, 40, 76] Generated Node #0,2: 74:[48, 40, 76] Operation: 31+45=76 Moving to Node #0,1 Current State: 74:[31, 40, 3], Operations: ['48-45=3'] Exploring Operation: 40-3=37, Resulting Numbers: [31, 37] Generated Node #0,1,0: 74:[31, 37] Operation: 40-3=37 Exploring Operation: 31+40=71, Resulting Numbers: [3, 71] Generated Node #0,1,1: 74:[3, 71] Operation: 31+40=71 Exploring Operation: 31+3=34, Resulting Numbers: [40, 34] Generated Node #0,1,2: 74:[40, 34] Operation: 31+3=34 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 74:[3, 71], Operations: ['48-45=3', '31+40=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[31, 48, 40, 45], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [31, 40, 3] Generated Node #0,1: 74:[31, 40, 3] Operation: 48-45=3 Moving to Node #0,1 Current State: 74:[31, 40, 3], Operations: ['48-45=3'] Exploring Operation: 31+40=71, Resulting Numbers: [3, 71] Generated Node #0,1,1: 74:[3, 71] Operation: 31+40=71 Moving to Node #0,1,1 Current State: 74:[3, 71], Operations: ['48-45=3', '31+40=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 8, 2, 40, 62 ]
68
[ "62-8=54", "2*54=108", "108-40=68" ]
Current State: 68:[8, 2, 40, 62], Operations: [] Exploring Operation: 62-8=54, Resulting Numbers: [2, 40, 54] Generated Node #2: [2, 40, 54] from Operation: 62-8=54 Current State: 68:[2, 40, 54], Operations: ['62-8=54'] Exploring Operation: 2*54=108, Resulting Numbers: [40, 108] Generated Node #3: [40, 108] from Operation: 2*54=108 Current State: 68:[40, 108], Operations: ['62-8=54', '2*54=108'] Exploring Operation: 108-40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[8, 2, 40, 62], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [2, 62, 5] Generated Node #0,0: 68:[2, 62, 5] Operation: 40/8=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 68:[2, 62, 5], Operations: ['40/8=5'] Exploring Operation: 62+5=67, Resulting Numbers: [2, 67] Generated Node #0,0,0: 68:[2, 67] Operation: 62+5=67 Moving to Node #0,0,0 Current State: 68:[2, 67], Operations: ['40/8=5', '62+5=67'] Exploring Operation: 2+67=69, Resulting Numbers: [69] 69,68 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
[ 76, 50, 63, 4 ]
32
[ "76/4=19", "63-50=13", "19+13=32" ]
Current State: 32:[76, 50, 63, 4], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [50, 63, 19] Generated Node #2: [50, 63, 19] from Operation: 76/4=19 Current State: 32:[50, 63, 19], Operations: ['76/4=19'] Exploring Operation: 63-50=13, Resulting Numbers: [19, 13] Generated Node #3: [19, 13] from Operation: 63-50=13 Current State: 32:[19, 13], Operations: ['76/4=19', '63-50=13'] Exploring Operation: 19+13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[76, 50, 63, 4], Operations: [] Exploring Operation: 76-4=72, Resulting Numbers: [50, 63, 72] Generated Node #0,0: 32:[50, 63, 72] Operation: 76-4=72 Exploring Operation: 76/4=19, Resulting Numbers: [50, 63, 19] Generated Node #0,1: 32:[50, 63, 19] Operation: 76/4=19 Exploring Operation: 76-63=13, Resulting Numbers: [50, 4, 13] Generated Node #0,2: 32:[50, 4, 13] Operation: 76-63=13 Exploring Operation: 76-50=26, Resulting Numbers: [63, 4, 26] Generated Node #0,3: 32:[63, 4, 26] Operation: 76-50=26 Exploring Operation: 63-50=13, Resulting Numbers: [76, 4, 13] Generated Node #0,4: 32:[76, 4, 13] Operation: 63-50=13 Moving to Node #0,2 Current State: 32:[50, 4, 13], Operations: ['76-63=13'] Exploring Operation: 50-4=46, Resulting Numbers: [13, 46] Generated Node #0,2,0: 32:[13, 46] Operation: 50-4=46 Exploring Operation: 50+4=54, Resulting Numbers: [13, 54] Generated Node #0,2,1: 32:[13, 54] Operation: 50+4=54 Exploring Operation: 13-4=9, Resulting Numbers: [50, 9] Generated Node #0,2,2: 32:[50, 9] Operation: 13-4=9 Exploring Operation: 50-13=37, Resulting Numbers: [4, 37] Generated Node #0,2,3: 32:[4, 37] Operation: 50-13=37 Exploring Operation: 4+13=17, Resulting Numbers: [50, 17] Generated Node #0,2,4: 32:[50, 17] Operation: 4+13=17 Moving to Node #0,3 Current State: 32:[63, 4, 26], Operations: ['76-50=26'] Exploring Operation: 4+26=30, Resulting Numbers: [63, 30] Generated Node #0,3,0: 32:[63, 30] Operation: 4+26=30 Exploring Operation: 26-4=22, Resulting Numbers: [63, 22] Generated Node #0,3,1: 32:[63, 22] Operation: 26-4=22 Exploring Operation: 63-4=59, Resulting Numbers: [26, 59] Generated Node #0,3,2: 32:[26, 59] Operation: 63-4=59 Exploring Operation: 63+4=67, Resulting Numbers: [26, 67] Generated Node #0,3,3: 32:[26, 67] Operation: 63+4=67 Exploring Operation: 63-26=37, Resulting Numbers: [4, 37] Generated Node #0,3,4: 32:[4, 37] Operation: 63-26=37 Moving to Node #0,4 Current State: 32:[76, 4, 13], Operations: ['63-50=13'] Exploring Operation: 76-13=63, Resulting Numbers: [4, 63] Generated Node #0,4,0: 32:[4, 63] Operation: 76-13=63 Exploring Operation: 13-4=9, Resulting Numbers: [76, 9] Generated Node #0,4,1: 32:[76, 9] Operation: 13-4=9 Exploring Operation: 4+13=17, Resulting Numbers: [76, 17] Generated Node #0,4,2: 32:[76, 17] Operation: 4+13=17 Exploring Operation: 76/4=19, Resulting Numbers: [13, 19] Generated Node #0,4,3: 32:[13, 19] Operation: 76/4=19 Exploring Operation: 76-4=72, Resulting Numbers: [13, 72] Generated Node #0,4,4: 32:[13, 72] Operation: 76-4=72 Moving to Node #0,1 Current State: 32:[50, 63, 19], Operations: ['76/4=19'] Exploring Operation: 63-19=44, Resulting Numbers: [50, 44] Generated Node #0,1,0: 32:[50, 44] Operation: 63-19=44 Exploring Operation: 50-19=31, Resulting Numbers: [63, 31] Generated Node #0,1,1: 32:[63, 31] Operation: 50-19=31 Exploring Operation: 63+19=82, Resulting Numbers: [50, 82] Generated Node #0,1,2: 32:[50, 82] Operation: 63+19=82 Exploring Operation: 63-50=13, Resulting Numbers: [19, 13] Generated Node #0,1,3: 32:[19, 13] Operation: 63-50=13 Exploring Operation: 50+19=69, Resulting Numbers: [63, 69] Generated Node #0,1,4: 32:[63, 69] Operation: 50+19=69 Moving to Node #0,0 Current State: 32:[50, 63, 72], Operations: ['76-4=72'] Exploring Operation: 63-50=13, Resulting Numbers: [72, 13] Generated Node #0,0,0: 32:[72, 13] Operation: 63-50=13 Exploring Operation: 72-50=22, Resulting Numbers: [63, 22] Generated Node #0,0,1: 32:[63, 22] Operation: 72-50=22 Exploring Operation: 50+63=113, Resulting Numbers: [72, 113] Generated Node #0,0,2: 32:[72, 113] Operation: 50+63=113 Exploring Operation: 72-63=9, Resulting Numbers: [50, 9] Generated Node #0,0,3: 32:[50, 9] Operation: 72-63=9 Exploring Operation: 50+72=122, Resulting Numbers: [63, 122] Generated Node #0,0,4: 32:[63, 122] Operation: 50+72=122 Moving to Node #0,2,3 Current State: 32:[4, 37], Operations: ['76-63=13', '50-13=37'] Exploring Operation: 4+37=41, Resulting Numbers: [41] 41,32 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,32 unequal: No Solution Exploring Operation: 4*37=148, Resulting Numbers: [148] 148,32 unequal: No Solution Moving to Node #0,3,4 Current State: 32:[4, 37], Operations: ['76-50=26', '63-26=37'] Exploring Operation: 4+37=41, Resulting Numbers: [41] 41,32 unequal: No Solution Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,32 unequal: No Solution Exploring Operation: 4*37=148, Resulting Numbers: [148] 148,32 unequal: No Solution Moving to Node #0,4,3 Current State: 32:[13, 19], Operations: ['63-50=13', '76/4=19'] Exploring Operation: 13*19=247, Resulting Numbers: [247] 247,32 unequal: No Solution Exploring Operation: 13+19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Moving to Node #0 Current State: 32:[76, 50, 63, 4], Operations: [] Exploring Operation: 63-50=13, Resulting Numbers: [76, 4, 13] Generated Node #0,4: 32:[76, 4, 13] Operation: 63-50=13 Moving to Node #0,4 Current State: 32:[76, 4, 13], Operations: ['63-50=13'] Exploring Operation: 76/4=19, Resulting Numbers: [13, 19] Generated Node #0,4,3: 32:[13, 19] Operation: 76/4=19 Moving to Node #0,4,3 Current State: 32:[13, 19], Operations: ['63-50=13', '76/4=19'] Exploring Operation: 13+19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
0.963542
hs_5
mult_heuristic
[ 4, 43, 3, 40 ]
93
[ "40-4=36", "43*3=129", "129-36=93" ]
Current State: 93:[4, 43, 3, 40], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [43, 3, 36] Generated Node #2: [43, 3, 36] from Operation: 40-4=36 Current State: 93:[43, 3, 36], Operations: ['40-4=36'] Exploring Operation: 43*3=129, Resulting Numbers: [36, 129] Generated Node #3: [36, 129] from Operation: 43*3=129 Current State: 93:[36, 129], Operations: ['40-4=36', '43*3=129'] Exploring Operation: 129-36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[4, 43, 3, 40], Operations: [] Exploring Operation: 43+40=83, Resulting Numbers: [4, 3, 83] Generated Node #0,0: 93:[4, 3, 83] Operation: 43+40=83 Exploring Operation: 43-40=3, Resulting Numbers: [4, 3, 3] Generated Node #0,1: 93:[4, 3, 3] Operation: 43-40=3 Start Sub Search at level 1: Moving to Node #0,1 Current State: 93:[4, 3, 3], Operations: ['43-40=3'] Exploring Operation: 4-3=1, Resulting Numbers: [3, 1] Generated Node #0,1,0: 93:[3, 1] Operation: 4-3=1 Exploring Operation: 4-3=1, Resulting Numbers: [3, 1] Generated Node #0,1,1: 93:[3, 1] Operation: 4-3=1 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 93:[3, 1], Operations: ['43-40=3', '4-3=1'] Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,93 unequal: No Solution Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,93 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: 93:[3, 1], Operations: ['43-40=3', '4-3=1'] Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,93 unequal: No Solution Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,93 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: 93:[4, 3, 83], Operations: ['43+40=83'] Exploring Operation: 3+83=86, Resulting Numbers: [4, 86] Generated Node #0,0,0: 93:[4, 86] Operation: 3+83=86 Exploring Operation: 4+83=87, Resulting Numbers: [3, 87] Generated Node #0,0,1: 93:[3, 87] Operation: 4+83=87 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 93:[3, 87], Operations: ['43+40=83', '4+83=87'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,93 unequal: No Solution Exploring Operation: 3+87=90, Resulting Numbers: [90] 90,93 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: 93:[4, 86], Operations: ['43+40=83', '3+83=86'] Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,93 unequal: No Solution Exploring Operation: 4+86=90, Resulting Numbers: [90] 90,93 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
[ 57, 8, 31, 23 ]
58
[ "31-8=23", "23/23=1", "57+1=58" ]
Current State: 58:[57, 8, 31, 23], Operations: [] Exploring Operation: 31-8=23, Resulting Numbers: [57, 23, 23] Generated Node #2: [57, 23, 23] from Operation: 31-8=23 Current State: 58:[57, 23, 23], Operations: ['31-8=23'] Exploring Operation: 23/23=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 23/23=1 Current State: 58:[57, 1], Operations: ['31-8=23', '23/23=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[57, 8, 31, 23], Operations: [] Exploring Operation: 31+23=54, Resulting Numbers: [57, 8, 54] Generated Node #0,0: 58:[57, 8, 54] Operation: 31+23=54 Exploring Operation: 8+23=31, Resulting Numbers: [57, 31, 31] Generated Node #0,1: 58:[57, 31, 31] Operation: 8+23=31 Moving to Node #0,1 Current State: 58:[57, 31, 31], Operations: ['8+23=31'] Exploring Operation: 31/31=1, Resulting Numbers: [57, 1] Generated Node #0,1,0: 58:[57, 1] Operation: 31/31=1 Exploring Operation: 31-31=0, Resulting Numbers: [57, 0] Generated Node #0,1,1: 58:[57, 0] Operation: 31-31=0 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 58:[57, 1], Operations: ['8+23=31', '31/31=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[57, 8, 31, 23], Operations: [] Exploring Operation: 8+23=31, Resulting Numbers: [57, 31, 31] Generated Node #0,1: 58:[57, 31, 31] Operation: 8+23=31 Moving to Node #0,1 Current State: 58:[57, 31, 31], Operations: ['8+23=31'] Exploring Operation: 31/31=1, Resulting Numbers: [57, 1] Generated Node #0,1,0: 58:[57, 1] Operation: 31/31=1 Moving to Node #0,1,0 Current State: 58:[57, 1], Operations: ['8+23=31', '31/31=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 64, 2, 1, 12 ]
74
[ "64-2=62", "1*12=12", "62+12=74" ]
Current State: 74:[64, 2, 1, 12], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [1, 12, 62] Generated Node #2: [1, 12, 62] from Operation: 64-2=62 Current State: 74:[1, 12, 62], Operations: ['64-2=62'] Exploring Operation: 1*12=12, Resulting Numbers: [62, 12] Generated Node #3: [62, 12] from Operation: 1*12=12 Current State: 74:[62, 12], Operations: ['64-2=62', '1*12=12'] Exploring Operation: 62+12=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[64, 2, 1, 12], Operations: [] Exploring Operation: 64/2=32, Resulting Numbers: [1, 12, 32] Generated Node #0,0: 74:[1, 12, 32] Operation: 64/2=32 Exploring Operation: 64+12=76, Resulting Numbers: [2, 1, 76] Generated Node #0,1: 74:[2, 1, 76] Operation: 64+12=76 Exploring Operation: 12/2=6, Resulting Numbers: [64, 1, 6] Generated Node #0,2: 74:[64, 1, 6] Operation: 12/2=6 Start Sub Search at level 1: Moving to Node #0,1 Current State: 74:[2, 1, 76], Operations: ['64+12=76'] Exploring Operation: 2*1=2, Resulting Numbers: [76, 2] Generated Node #0,1,0: 74:[76, 2] Operation: 2*1=2 Exploring Operation: 76-2=74, Resulting Numbers: [1, 74] Generated Node #0,1,1: 74:[1, 74] Operation: 76-2=74 Exploring Operation: 76-1=75, Resulting Numbers: [2, 75] Generated Node #0,1,2: 74:[2, 75] Operation: 76-1=75 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 74:[1, 74], Operations: ['64+12=76', '76-2=74'] Exploring Operation: 1*74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[64, 2, 1, 12], Operations: [] Exploring Operation: 64+12=76, Resulting Numbers: [2, 1, 76] Generated Node #0,1: 74:[2, 1, 76] Operation: 64+12=76 Moving to Node #0,1 Current State: 74:[2, 1, 76], Operations: ['64+12=76'] Exploring Operation: 76-2=74, Resulting Numbers: [1, 74] Generated Node #0,1,1: 74:[1, 74] Operation: 76-2=74 Moving to Node #0,1,1 Current State: 74:[1, 74], Operations: ['64+12=76', '76-2=74'] Exploring Operation: 1*74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 46, 1, 85, 49 ]
88
[ "46*1=46", "85+49=134", "134-46=88" ]
Current State: 88:[46, 1, 85, 49], Operations: [] Exploring Operation: 46*1=46, Resulting Numbers: [85, 49, 46] Generated Node #2: [85, 49, 46] from Operation: 46*1=46 Current State: 88:[85, 49, 46], Operations: ['46*1=46'] Exploring Operation: 85+49=134, Resulting Numbers: [46, 134] Generated Node #3: [46, 134] from Operation: 85+49=134 Current State: 88:[46, 134], Operations: ['46*1=46', '85+49=134'] Exploring Operation: 134-46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[46, 1, 85, 49], Operations: [] Exploring Operation: 1+85=86, Resulting Numbers: [46, 49, 86] Generated Node #0,0: 88:[46, 49, 86] Operation: 1+85=86 Exploring Operation: 46-1=45, Resulting Numbers: [85, 49, 45] Generated Node #0,1: 88:[85, 49, 45] Operation: 46-1=45 Exploring Operation: 49-46=3, Resulting Numbers: [1, 85, 3] Generated Node #0,2: 88:[1, 85, 3] Operation: 49-46=3 Moving to Node #0,2 Current State: 88:[1, 85, 3], Operations: ['49-46=3'] Exploring Operation: 1+3=4, Resulting Numbers: [85, 4] Generated Node #0,2,0: 88:[85, 4] Operation: 1+3=4 Exploring Operation: 85+3=88, Resulting Numbers: [1, 88] Generated Node #0,2,1: 88:[1, 88] Operation: 85+3=88 Exploring Operation: 1+85=86, Resulting Numbers: [3, 86] Generated Node #0,2,2: 88:[3, 86] Operation: 1+85=86 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 88:[1, 88], Operations: ['49-46=3', '85+3=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[46, 1, 85, 49], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [1, 85, 3] Generated Node #0,2: 88:[1, 85, 3] Operation: 49-46=3 Moving to Node #0,2 Current State: 88:[1, 85, 3], Operations: ['49-46=3'] Exploring Operation: 85+3=88, Resulting Numbers: [1, 88] Generated Node #0,2,1: 88:[1, 88] Operation: 85+3=88 Moving to Node #0,2,1 Current State: 88:[1, 88], Operations: ['49-46=3', '85+3=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 72, 80, 49, 32 ]
47
[ "72-32=40", "80/40=2", "49-2=47" ]
Current State: 47:[72, 80, 49, 32], Operations: [] Exploring Operation: 72-32=40, Resulting Numbers: [80, 49, 40] Generated Node #2: [80, 49, 40] from Operation: 72-32=40 Current State: 47:[80, 49, 40], Operations: ['72-32=40'] Exploring Operation: 80/40=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 80/40=2 Current State: 47:[49, 2], Operations: ['72-32=40', '80/40=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[72, 80, 49, 32], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [49, 32, 8] Generated Node #0,0: 47:[49, 32, 8] Operation: 80-72=8 Exploring Operation: 80-49=31, Resulting Numbers: [72, 32, 31] Generated Node #0,1: 47:[72, 32, 31] Operation: 80-49=31 Exploring Operation: 72-32=40, Resulting Numbers: [80, 49, 40] Generated Node #0,2: 47:[80, 49, 40] Operation: 72-32=40 Exploring Operation: 72-49=23, Resulting Numbers: [80, 32, 23] Generated Node #0,3: 47:[80, 32, 23] Operation: 72-49=23 Exploring Operation: 80-32=48, Resulting Numbers: [72, 49, 48] Generated Node #0,4: 47:[72, 49, 48] Operation: 80-32=48 Moving to Node #0,4 Current State: 47:[72, 49, 48], Operations: ['80-32=48'] Exploring Operation: 72-49=23, Resulting Numbers: [48, 23] Generated Node #0,4,0: 47:[48, 23] Operation: 72-49=23 Exploring Operation: 72-48=24, Resulting Numbers: [49, 24] Generated Node #0,4,1: 47:[49, 24] Operation: 72-48=24 Exploring Operation: 72+48=120, Resulting Numbers: [49, 120] Generated Node #0,4,2: 47:[49, 120] Operation: 72+48=120 Exploring Operation: 49-48=1, Resulting Numbers: [72, 1] Generated Node #0,4,3: 47:[72, 1] Operation: 49-48=1 Exploring Operation: 72+49=121, Resulting Numbers: [48, 121] Generated Node #0,4,4: 47:[48, 121] Operation: 72+49=121 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 47:[48, 23], Operations: ['80-32=48', '72-49=23'] Exploring Operation: 48+23=71, Resulting Numbers: [71] 71,47 unequal: No Solution Exploring Operation: 48*23=1104, Resulting Numbers: [1104] 1104,47 unequal: No Solution Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,47 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 #0,4,1 Current State: 47:[49, 24], Operations: ['80-32=48', '72-48=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,47 unequal: No Solution Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,47 unequal: No Solution Exploring Operation: 49*24=1176, Resulting Numbers: [1176] 1176,47 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 #0,4,3 Current State: 47:[72, 1], Operations: ['80-32=48', '49-48=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,47 unequal: No Solution Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,47 unequal: No Solution Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,47 unequal: No Solution Exploring Operation: 72/1=72, Resulting Numbers: [72] 72,47 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 #0,4,2 Current State: 47:[49, 120], Operations: ['80-32=48', '72+48=120'] Exploring Operation: 49*120=5880, Resulting Numbers: [5880] 5880,47 unequal: No Solution Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,47 unequal: No Solution Exploring Operation: 49+120=169, Resulting Numbers: [169] 169,47 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 #0,4,4 Current State: 47:[48, 121], Operations: ['80-32=48', '72+49=121'] Exploring Operation: 48+121=169, Resulting Numbers: [169] 169,47 unequal: No Solution Exploring Operation: 121-48=73, Resulting Numbers: [73] 73,47 unequal: No Solution Exploring Operation: 48*121=5808, Resulting Numbers: [5808] 5808,47 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:[80, 49, 40], Operations: ['72-32=40'] Exploring Operation: 49-40=9, Resulting Numbers: [80, 9] Generated Node #0,2,0: 47:[80, 9] Operation: 49-40=9 Exploring Operation: 80/40=2, Resulting Numbers: [49, 2] Generated Node #0,2,1: 47:[49, 2] Operation: 80/40=2 Exploring Operation: 80+40=120, Resulting Numbers: [49, 120] Generated Node #0,2,2: 47:[49, 120] Operation: 80+40=120 Exploring Operation: 80-40=40, Resulting Numbers: [49, 40] Generated Node #0,2,3: 47:[49, 40] Operation: 80-40=40 Exploring Operation: 80-49=31, Resulting Numbers: [40, 31] Generated Node #0,2,4: 47:[40, 31] Operation: 80-49=31 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 47:[49, 40], Operations: ['72-32=40', '80-40=40'] Exploring Operation: 49-40=9, Resulting Numbers: [9] 9,47 unequal: No Solution Exploring Operation: 49*40=1960, Resulting Numbers: [1960] 1960,47 unequal: No Solution Exploring Operation: 49+40=89, Resulting Numbers: [89] 89,47 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 #0,2,4 Current State: 47:[40, 31], Operations: ['72-32=40', '80-49=31'] Exploring Operation: 40*31=1240, Resulting Numbers: [1240] 1240,47 unequal: No Solution Exploring Operation: 40-31=9, Resulting Numbers: [9] 9,47 unequal: No Solution Exploring Operation: 40+31=71, Resulting Numbers: [71] 71,47 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 #0,2,1 Current State: 47:[49, 2], Operations: ['72-32=40', '80/40=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,47 unequal: No Solution Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached Moving to Node #0 Current State: 47:[72, 80, 49, 32], Operations: [] Exploring Operation: 72-32=40, Resulting Numbers: [80, 49, 40] Generated Node #0,2: 47:[80, 49, 40] Operation: 72-32=40 Moving to Node #0,2 Current State: 47:[80, 49, 40], Operations: ['72-32=40'] Exploring Operation: 80/40=2, Resulting Numbers: [49, 2] Generated Node #0,2,1: 47:[49, 2] Operation: 80/40=2 Moving to Node #0,2,1 Current State: 47:[49, 2], Operations: ['72-32=40', '80/40=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached Exit Sub Search at level 1
0.962674
hs_5
sum_heuristic
[ 55, 42, 13, 94 ]
93
[ "55-42=13", "13/13=1", "94-1=93" ]
Current State: 93:[55, 42, 13, 94], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [13, 94, 13] Generated Node #2: [13, 94, 13] from Operation: 55-42=13 Current State: 93:[13, 94, 13], Operations: ['55-42=13'] Exploring Operation: 13/13=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 13/13=1 Current State: 93:[94, 1], Operations: ['55-42=13', '13/13=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[55, 42, 13, 94], Operations: [] Exploring Operation: 55+42=97, Resulting Numbers: [13, 94, 97] Generated Node #0,0: 93:[13, 94, 97] Operation: 55+42=97 Exploring Operation: 55-42=13, Resulting Numbers: [13, 94, 13] Generated Node #0,1: 93:[13, 94, 13] Operation: 55-42=13 Start Sub Search at level 1: Moving to Node #0,0 Current State: 93:[13, 94, 97], Operations: ['55+42=97'] Exploring Operation: 97-13=84, Resulting Numbers: [94, 84] Generated Node #0,0,0: 93:[94, 84] Operation: 97-13=84 Exploring Operation: 97-94=3, Resulting Numbers: [13, 3] Generated Node #0,0,1: 93:[13, 3] Operation: 97-94=3 Moving to Node #0,0,0 Current State: 93:[94, 84], Operations: ['55+42=97', '97-13=84'] Exploring Operation: 94-84=10, Resulting Numbers: [10] 10,93 unequal: No Solution Exploring Operation: 94+84=178, Resulting Numbers: [178] 178,93 unequal: No Solution Moving to Node #0,0,1 Current State: 93:[13, 3], Operations: ['55+42=97', '97-94=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,93 unequal: No Solution Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,93 unequal: No Solution No 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: 93:[13, 94, 13], Operations: ['55-42=13'] Exploring Operation: 13-13=0, Resulting Numbers: [94, 0] Generated Node #0,1,0: 93:[94, 0] Operation: 13-13=0 Exploring Operation: 13/13=1, Resulting Numbers: [94, 1] Generated Node #0,1,1: 93:[94, 1] Operation: 13/13=1 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 93:[94, 1], Operations: ['55-42=13', '13/13=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,93 unequal: No Solution Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[55, 42, 13, 94], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [13, 94, 13] Generated Node #0,1: 93:[13, 94, 13] Operation: 55-42=13 Moving to Node #0,1 Current State: 93:[13, 94, 13], Operations: ['55-42=13'] Exploring Operation: 13/13=1, Resulting Numbers: [94, 1] Generated Node #0,1,1: 93:[94, 1] Operation: 13/13=1 Moving to Node #0,1,1 Current State: 93:[94, 1], Operations: ['55-42=13', '13/13=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_2
sum_heuristic