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
[ 46, 60, 63, 93 ]
29
[ "46*60=2760", "2760-63=2697", "2697/93=29" ]
Current State: 29:[46, 60, 63, 93], Operations: [] Exploring Operation: 46*60=2760, Resulting Numbers: [63, 93, 2760] Generated Node #2: [63, 93, 2760] from Operation: 46*60=2760 Current State: 29:[63, 93, 2760], Operations: ['46*60=2760'] Exploring Operation: 2760-63=2697, Resulting Numbers: [93, 2697] Generated Node #3: [93, 2697] from Operation: 2760-63=2697 Current State: 29:[93, 2697], Operations: ['46*60=2760', '2760-63=2697'] Exploring Operation: 2697/93=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[46, 60, 63, 93], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [60, 63, 47] Generated Node #0,0: 29:[60, 63, 47] Operation: 93-46=47 Exploring Operation: 93-63=30, Resulting Numbers: [46, 60, 30] Generated Node #0,1: 29:[46, 60, 30] Operation: 93-63=30 Exploring Operation: 93-60=33, Resulting Numbers: [46, 63, 33] Generated Node #0,2: 29:[46, 63, 33] Operation: 93-60=33 Moving to Node #0,1 Current State: 29:[46, 60, 30], Operations: ['93-63=30'] Exploring Operation: 60-30=30, Resulting Numbers: [46, 30] Generated Node #0,1,0: 29:[46, 30] Operation: 60-30=30 Exploring Operation: 46-30=16, Resulting Numbers: [60, 16] Generated Node #0,1,1: 29:[60, 16] Operation: 46-30=16 Exploring Operation: 60-46=14, Resulting Numbers: [30, 14] Generated Node #0,1,2: 29:[30, 14] Operation: 60-46=14 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 29:[30, 14], Operations: ['93-63=30', '60-46=14'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,29 unequal: No Solution Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,29 unequal: No Solution Exploring Operation: 30*14=420, Resulting Numbers: [420] 420,29 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:[46, 30], Operations: ['93-63=30', '60-30=30'] Exploring Operation: 46*30=1380, Resulting Numbers: [1380] 1380,29 unequal: No Solution Exploring Operation: 46-30=16, Resulting Numbers: [16] 16,29 unequal: No Solution Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,29 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 #0,1,1 Current State: 29:[60, 16], Operations: ['93-63=30', '46-30=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,29 unequal: No Solution Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,29 unequal: No Solution Exploring Operation: 60*16=960, Resulting Numbers: [960] 960,29 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: 29:[46, 63, 33], Operations: ['93-60=33'] Exploring Operation: 46-33=13, Resulting Numbers: [63, 13] Generated Node #0,2,0: 29:[63, 13] Operation: 46-33=13 Exploring Operation: 63-46=17, Resulting Numbers: [33, 17] Generated Node #0,2,1: 29:[33, 17] Operation: 63-46=17 Exploring Operation: 63-33=30, Resulting Numbers: [46, 30] Generated Node #0,2,2: 29:[46, 30] Operation: 63-33=30 Moving to Node #0,0 Current State: 29:[60, 63, 47], Operations: ['93-46=47'] Exploring Operation: 63-47=16, Resulting Numbers: [60, 16] Generated Node #0,0,0: 29:[60, 16] Operation: 63-47=16 Exploring Operation: 63-60=3, Resulting Numbers: [47, 3] Generated Node #0,0,1: 29:[47, 3] Operation: 63-60=3 Exploring Operation: 60-47=13, Resulting Numbers: [63, 13] Generated Node #0,0,2: 29:[63, 13] Operation: 60-47=13 Moving to Node #0,2,1 Current State: 29:[33, 17], Operations: ['93-60=33', '63-46=17'] Exploring Operation: 33+17=50, Resulting Numbers: [50] 50,29 unequal: No Solution Exploring Operation: 33-17=16, Resulting Numbers: [16] 16,29 unequal: No Solution Exploring Operation: 33*17=561, Resulting Numbers: [561] 561,29 unequal: No Solution Moving to Node #0,2,2 Current State: 29:[46, 30], Operations: ['93-60=33', '63-33=30'] Exploring Operation: 46*30=1380, Resulting Numbers: [1380] 1380,29 unequal: No Solution Exploring Operation: 46-30=16, Resulting Numbers: [16] 16,29 unequal: No Solution Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,29 unequal: No Solution Moving to Node #0,0,1 Current State: 29:[47, 3], Operations: ['93-46=47', '63-60=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,29 unequal: No Solution Exploring Operation: 47*3=141, Resulting Numbers: [141] 141,29 unequal: No Solution Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,0,0 Current State: 29:[60, 16], Operations: ['93-46=47', '63-47=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,29 unequal: No Solution Exploring Operation: 60*16=960, Resulting Numbers: [960] 960,29 unequal: No Solution Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,29 unequal: No Solution Moving to Node #0,0,2 Current State: 29:[63, 13], Operations: ['93-46=47', '60-47=13'] Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,29 unequal: No Solution Exploring Operation: 63*13=819, Resulting Numbers: [819] 819,29 unequal: No Solution Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,29 unequal: No Solution Moving to Node #0,2,0 Current State: 29:[63, 13], Operations: ['93-60=33', '46-33=13'] Exploring Operation: 63*13=819, Resulting Numbers: [819] 819,29 unequal: No Solution Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,29 unequal: No Solution Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,29 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 13, 13, 5, 92 ]
82
[ "13*13=169", "92-5=87", "169-87=82" ]
Current State: 82:[13, 13, 5, 92], Operations: [] Exploring Operation: 13*13=169, Resulting Numbers: [5, 92, 169] Generated Node #2: [5, 92, 169] from Operation: 13*13=169 Current State: 82:[5, 92, 169], Operations: ['13*13=169'] Exploring Operation: 92-5=87, Resulting Numbers: [169, 87] Generated Node #3: [169, 87] from Operation: 92-5=87 Current State: 82:[169, 87], Operations: ['13*13=169', '92-5=87'] Exploring Operation: 169-87=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[13, 13, 5, 92], Operations: [] Exploring Operation: 92-13=79, Resulting Numbers: [13, 5, 79] Generated Node #0,0: 82:[13, 5, 79] Operation: 92-13=79 Exploring Operation: 13-13=0, Resulting Numbers: [5, 92, 0] Generated Node #0,1: 82:[5, 92, 0] Operation: 13-13=0 Exploring Operation: 13/13=1, Resulting Numbers: [5, 92, 1] Generated Node #0,2: 82:[5, 92, 1] Operation: 13/13=1 Moving to Node #0,2 Current State: 82:[5, 92, 1], Operations: ['13/13=1'] Exploring Operation: 92-5=87, Resulting Numbers: [1, 87] Generated Node #0,2,0: 82:[1, 87] Operation: 92-5=87 Exploring Operation: 92-1=91, Resulting Numbers: [5, 91] Generated Node #0,2,1: 82:[5, 91] Operation: 92-1=91 Exploring Operation: 5-1=4, Resulting Numbers: [92, 4] Generated Node #0,2,2: 82:[92, 4] Operation: 5-1=4 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 82:[1, 87], Operations: ['13/13=1', '92-5=87'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,82 unequal: No Solution Exploring Operation: 1*87=87, Resulting Numbers: [87] 87,82 unequal: No Solution Exploring Operation: 87/1=87, Resulting Numbers: [87] 87,82 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 #0,2,1 Current State: 82:[5, 91], Operations: ['13/13=1', '92-1=91'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,82 unequal: No Solution Exploring Operation: 5*91=455, Resulting Numbers: [455] 455,82 unequal: No Solution Exploring Operation: 5+91=96, Resulting Numbers: [96] 96,82 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 #0,2,2 Current State: 82:[92, 4], Operations: ['13/13=1', '5-1=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,82 unequal: No Solution Exploring Operation: 92+4=96, Resulting Numbers: [96] 96,82 unequal: No Solution Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,82 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: 82:[5, 92, 0], Operations: ['13-13=0'] Exploring Operation: 92*0=0, Resulting Numbers: [5, 0] Generated Node #0,1,0: 82:[5, 0] Operation: 92*0=0 Exploring Operation: 5*0=0, Resulting Numbers: [92, 0] Generated Node #0,1,1: 82:[92, 0] Operation: 5*0=0 Exploring Operation: 92-5=87, Resulting Numbers: [0, 87] Generated Node #0,1,2: 82:[0, 87] Operation: 92-5=87 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 82:[5, 0], Operations: ['13-13=0', '92*0=0'] Exploring Operation: 5+0=5, Resulting Numbers: [5] 5,82 unequal: No Solution Exploring Operation: 5-0=5, Resulting Numbers: [5] 5,82 unequal: No Solution Exploring Operation: 5*0=0, Resulting Numbers: [0] 0,82 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 #0,1,2 Current State: 82:[0, 87], Operations: ['13-13=0', '92-5=87'] Exploring Operation: 87-0=87, Resulting Numbers: [87] 87,82 unequal: No Solution Exploring Operation: 0*87=0, Resulting Numbers: [0] 0,82 unequal: No Solution Exploring Operation: 0+87=87, Resulting Numbers: [87] 87,82 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 #0,1,1 Current State: 82:[92, 0], Operations: ['13-13=0', '5*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,82 unequal: No Solution Exploring Operation: 92-0=92, Resulting Numbers: [92] 92,82 unequal: No Solution Exploring Operation: 92*0=0, Resulting Numbers: [0] 0,82 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:[13, 5, 79], Operations: ['92-13=79'] Exploring Operation: 5+79=84, Resulting Numbers: [13, 84] Generated Node #0,0,0: 82:[13, 84] Operation: 5+79=84 Exploring Operation: 13-5=8, Resulting Numbers: [79, 8] Generated Node #0,0,1: 82:[79, 8] Operation: 13-5=8 Exploring Operation: 13+79=92, Resulting Numbers: [5, 92] Generated Node #0,0,2: 82:[5, 92] Operation: 13+79=92 Moving to Node #0,0,1 Current State: 82:[79, 8], Operations: ['92-13=79', '13-5=8'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,82 unequal: No Solution Exploring Operation: 79+8=87, Resulting Numbers: [87] 87,82 unequal: No Solution Exploring Operation: 79*8=632, Resulting Numbers: [632] 632,82 unequal: No Solution Moving to Node #0,0,0 Current State: 82:[13, 84], Operations: ['92-13=79', '5+79=84'] Exploring Operation: 13*84=1092, Resulting Numbers: [1092] 1092,82 unequal: No Solution Exploring Operation: 13+84=97, Resulting Numbers: [97] 97,82 unequal: No Solution Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,82 unequal: No Solution Moving to Node #0,0,2 Current State: 82:[5, 92], Operations: ['92-13=79', '13+79=92'] Exploring Operation: 5*92=460, Resulting Numbers: [460] 460,82 unequal: No Solution Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,82 unequal: No Solution Exploring Operation: 5+92=97, Resulting Numbers: [97] 97,82 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 60, 60, 7, 10 ]
71
[ "60/60=1", "7*10=70", "1+70=71" ]
Current State: 71:[60, 60, 7, 10], Operations: [] Exploring Operation: 60/60=1, Resulting Numbers: [7, 10, 1] Generated Node #2: [7, 10, 1] from Operation: 60/60=1 Current State: 71:[7, 10, 1], Operations: ['60/60=1'] Exploring Operation: 7*10=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 7*10=70 Current State: 71:[1, 70], Operations: ['60/60=1', '7*10=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[60, 60, 7, 10], Operations: [] Exploring Operation: 60+7=67, Resulting Numbers: [60, 10, 67] Generated Node #0,0: 71:[60, 10, 67] Operation: 60+7=67 Exploring Operation: 7*10=70, Resulting Numbers: [60, 60, 70] Generated Node #0,1: 71:[60, 60, 70] Operation: 7*10=70 Exploring Operation: 60+10=70, Resulting Numbers: [60, 7, 70] Generated Node #0,2: 71:[60, 7, 70] Operation: 60+10=70 Start Sub Search at level 1: Moving to Node #0,1 Current State: 71:[60, 60, 70], Operations: ['7*10=70'] Exploring Operation: 60+70=130, Resulting Numbers: [60, 130] Generated Node #0,1,0: 71:[60, 130] Operation: 60+70=130 Exploring Operation: 60+60=120, Resulting Numbers: [70, 120] Generated Node #0,1,1: 71:[70, 120] Operation: 60+60=120 Exploring Operation: 60+70=130, Resulting Numbers: [60, 130] Generated Node #0,1,2: 71:[60, 130] Operation: 60+70=130 Moving to Node #0,1,1 Current State: 71:[70, 120], Operations: ['7*10=70', '60+60=120'] Exploring Operation: 120-70=50, Resulting Numbers: [50] 50,71 unequal: No Solution Exploring Operation: 70*120=8400, Resulting Numbers: [8400] 8400,71 unequal: No Solution Exploring Operation: 70+120=190, Resulting Numbers: [190] 190,71 unequal: No Solution Moving to Node #0,1,0 Current State: 71:[60, 130], Operations: ['7*10=70', '60+70=130'] Exploring Operation: 60*130=7800, Resulting Numbers: [7800] 7800,71 unequal: No Solution Exploring Operation: 60+130=190, Resulting Numbers: [190] 190,71 unequal: No Solution Exploring Operation: 130-60=70, Resulting Numbers: [70] 70,71 unequal: No Solution Moving to Node #0,1,2 Current State: 71:[60, 130], Operations: ['7*10=70', '60+70=130'] Exploring Operation: 130-60=70, Resulting Numbers: [70] 70,71 unequal: No Solution Exploring Operation: 60+130=190, Resulting Numbers: [190] 190,71 unequal: No Solution Exploring Operation: 60*130=7800, Resulting Numbers: [7800] 7800,71 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 Current State: 71:[60, 10, 67], Operations: ['60+7=67'] Exploring Operation: 10+67=77, Resulting Numbers: [60, 77] Generated Node #0,0,0: 71:[60, 77] Operation: 10+67=77 Exploring Operation: 60+10=70, Resulting Numbers: [67, 70] Generated Node #0,0,1: 71:[67, 70] Operation: 60+10=70 Exploring Operation: 60-10=50, Resulting Numbers: [67, 50] Generated Node #0,0,2: 71:[67, 50] Operation: 60-10=50 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 71:[67, 70], Operations: ['60+7=67', '60+10=70'] Exploring Operation: 67+70=137, Resulting Numbers: [137] 137,71 unequal: No Solution Exploring Operation: 70-67=3, Resulting Numbers: [3] 3,71 unequal: No Solution Exploring Operation: 67*70=4690, Resulting Numbers: [4690] 4690,71 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: 71:[60, 77], Operations: ['60+7=67', '10+67=77'] Exploring Operation: 60+77=137, Resulting Numbers: [137] 137,71 unequal: No Solution Exploring Operation: 60*77=4620, Resulting Numbers: [4620] 4620,71 unequal: No Solution Exploring Operation: 77-60=17, Resulting Numbers: [17] 17,71 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: 71:[67, 50], Operations: ['60+7=67', '60-10=50'] Exploring Operation: 67+50=117, Resulting Numbers: [117] 117,71 unequal: No Solution Exploring Operation: 67*50=3350, Resulting Numbers: [3350] 3350,71 unequal: No Solution Exploring Operation: 67-50=17, Resulting Numbers: [17] 17,71 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: 71:[60, 7, 70], Operations: ['60+10=70'] Exploring Operation: 60+7=67, Resulting Numbers: [70, 67] Generated Node #0,2,0: 71:[70, 67] Operation: 60+7=67 Exploring Operation: 7+70=77, Resulting Numbers: [60, 77] Generated Node #0,2,1: 71:[60, 77] Operation: 7+70=77 Exploring Operation: 60-7=53, Resulting Numbers: [70, 53] Generated Node #0,2,2: 71:[70, 53] Operation: 60-7=53 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 71:[70, 67], Operations: ['60+10=70', '60+7=67'] Exploring Operation: 70*67=4690, Resulting Numbers: [4690] 4690,71 unequal: No Solution Exploring Operation: 70+67=137, Resulting Numbers: [137] 137,71 unequal: No Solution Exploring Operation: 70-67=3, Resulting Numbers: [3] 3,71 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: 71:[60, 77], Operations: ['60+10=70', '7+70=77'] Exploring Operation: 60*77=4620, Resulting Numbers: [4620] 4620,71 unequal: No Solution Exploring Operation: 60+77=137, Resulting Numbers: [137] 137,71 unequal: No Solution Exploring Operation: 77-60=17, Resulting Numbers: [17] 17,71 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: 71:[70, 53], Operations: ['60+10=70', '60-7=53'] Exploring Operation: 70-53=17, Resulting Numbers: [17] 17,71 unequal: No Solution Exploring Operation: 70*53=3710, Resulting Numbers: [3710] 3710,71 unequal: No Solution Exploring Operation: 70+53=123, Resulting Numbers: [123] 123,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 92, 85, 58, 47 ]
98
[ "92-85=7", "58+47=105", "105-7=98" ]
Current State: 98:[92, 85, 58, 47], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [58, 47, 7] Generated Node #2: [58, 47, 7] from Operation: 92-85=7 Current State: 98:[58, 47, 7], Operations: ['92-85=7'] Exploring Operation: 58+47=105, Resulting Numbers: [7, 105] Generated Node #3: [7, 105] from Operation: 58+47=105 Current State: 98:[7, 105], Operations: ['92-85=7', '58+47=105'] Exploring Operation: 105-7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[92, 85, 58, 47], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [58, 47, 7] Generated Node #0,0: 98:[58, 47, 7] Operation: 92-85=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 98:[58, 47, 7], Operations: ['92-85=7'] Exploring Operation: 58-47=11, Resulting Numbers: [7, 11] Generated Node #0,0,0: 98:[7, 11] Operation: 58-47=11 Moving to Node #0,0,0 Current State: 98:[7, 11], Operations: ['92-85=7', '58-47=11'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,98 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
[ 42, 82, 18, 75 ]
53
[ "82-42=40", "18+75=93", "93-40=53" ]
Current State: 53:[42, 82, 18, 75], Operations: [] Exploring Operation: 82-42=40, Resulting Numbers: [18, 75, 40] Generated Node #2: [18, 75, 40] from Operation: 82-42=40 Current State: 53:[18, 75, 40], Operations: ['82-42=40'] Exploring Operation: 18+75=93, Resulting Numbers: [40, 93] Generated Node #3: [40, 93] from Operation: 18+75=93 Current State: 53:[40, 93], Operations: ['82-42=40', '18+75=93'] Exploring Operation: 93-40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[42, 82, 18, 75], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [82, 75, 24] Generated Node #0,0: 53:[82, 75, 24] Operation: 42-18=24 Exploring Operation: 42+18=60, Resulting Numbers: [82, 75, 60] Generated Node #0,1: 53:[82, 75, 60] Operation: 42+18=60 Exploring Operation: 82-18=64, Resulting Numbers: [42, 75, 64] Generated Node #0,2: 53:[42, 75, 64] Operation: 82-18=64 Exploring Operation: 75-18=57, Resulting Numbers: [42, 82, 57] Generated Node #0,3: 53:[42, 82, 57] Operation: 75-18=57 Exploring Operation: 82-42=40, Resulting Numbers: [18, 75, 40] Generated Node #0,4: 53:[18, 75, 40] Operation: 82-42=40 Start Sub Search at level 1: Moving to Node #0,2 Current State: 53:[42, 75, 64], Operations: ['82-18=64'] Exploring Operation: 75-64=11, Resulting Numbers: [42, 11] Generated Node #0,2,0: 53:[42, 11] Operation: 75-64=11 Exploring Operation: 42+64=106, Resulting Numbers: [75, 106] Generated Node #0,2,1: 53:[75, 106] Operation: 42+64=106 Exploring Operation: 42+75=117, Resulting Numbers: [64, 117] Generated Node #0,2,2: 53:[64, 117] Operation: 42+75=117 Exploring Operation: 75-42=33, Resulting Numbers: [64, 33] Generated Node #0,2,3: 53:[64, 33] Operation: 75-42=33 Exploring Operation: 64-42=22, Resulting Numbers: [75, 22] Generated Node #0,2,4: 53:[75, 22] Operation: 64-42=22 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 53:[64, 33], Operations: ['82-18=64', '75-42=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,53 unequal: No Solution Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,53 unequal: No Solution Exploring Operation: 64*33=2112, Resulting Numbers: [2112] 2112,53 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: 53:[42, 11], Operations: ['82-18=64', '75-64=11'] Exploring Operation: 42*11=462, Resulting Numbers: [462] 462,53 unequal: No Solution Exploring Operation: 42+11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Moving to Node #0 Current State: 53:[42, 82, 18, 75], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [42, 75, 64] Generated Node #0,2: 53:[42, 75, 64] Operation: 82-18=64 Moving to Node #0,2 Current State: 53:[42, 75, 64], Operations: ['82-18=64'] Exploring Operation: 75-64=11, Resulting Numbers: [42, 11] Generated Node #0,2,0: 53:[42, 11] Operation: 75-64=11 Moving to Node #0,2,0 Current State: 53:[42, 11], Operations: ['82-18=64', '75-64=11'] Exploring Operation: 42+11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.983507
hs_5
sum_heuristic
[ 42, 28, 34, 12 ]
92
[ "42+28=70", "34-12=22", "70+22=92" ]
Current State: 92:[42, 28, 34, 12], Operations: [] Exploring Operation: 42+28=70, Resulting Numbers: [34, 12, 70] Generated Node #2: [34, 12, 70] from Operation: 42+28=70 Current State: 92:[34, 12, 70], Operations: ['42+28=70'] Exploring Operation: 34-12=22, Resulting Numbers: [70, 22] Generated Node #3: [70, 22] from Operation: 34-12=22 Current State: 92:[70, 22], Operations: ['42+28=70', '34-12=22'] Exploring Operation: 70+22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[42, 28, 34, 12], Operations: [] Exploring Operation: 34+12=46, Resulting Numbers: [42, 28, 46] Generated Node #0,0: 92:[42, 28, 46] Operation: 34+12=46 Exploring Operation: 28+12=40, Resulting Numbers: [42, 34, 40] Generated Node #0,1: 92:[42, 34, 40] Operation: 28+12=40 Exploring Operation: 34-12=22, Resulting Numbers: [42, 28, 22] Generated Node #0,2: 92:[42, 28, 22] Operation: 34-12=22 Exploring Operation: 42-34=8, Resulting Numbers: [28, 12, 8] Generated Node #0,3: 92:[28, 12, 8] Operation: 42-34=8 Exploring Operation: 34-28=6, Resulting Numbers: [42, 12, 6] Generated Node #0,4: 92:[42, 12, 6] Operation: 34-28=6 Moving to Node #0,0 Current State: 92:[42, 28, 46], Operations: ['34+12=46'] Exploring Operation: 42+46=88, Resulting Numbers: [28, 88] Generated Node #0,0,0: 92:[28, 88] Operation: 42+46=88 Exploring Operation: 46-28=18, Resulting Numbers: [42, 18] Generated Node #0,0,1: 92:[42, 18] Operation: 46-28=18 Exploring Operation: 42-28=14, Resulting Numbers: [46, 14] Generated Node #0,0,2: 92:[46, 14] Operation: 42-28=14 Exploring Operation: 46-42=4, Resulting Numbers: [28, 4] Generated Node #0,0,3: 92:[28, 4] Operation: 46-42=4 Exploring Operation: 42+28=70, Resulting Numbers: [46, 70] Generated Node #0,0,4: 92:[46, 70] Operation: 42+28=70 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 92:[28, 4], Operations: ['34+12=46', '46-42=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,92 unequal: No Solution Exploring Operation: 28*4=112, Resulting Numbers: [112] 112,92 unequal: No Solution Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,92 unequal: No Solution Exploring Operation: 28/4=7, Resulting Numbers: [7] 7,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 92:[28, 88], Operations: ['34+12=46', '42+46=88'] Exploring Operation: 28+88=116, Resulting Numbers: [116] 116,92 unequal: No Solution Exploring Operation: 88-28=60, Resulting Numbers: [60] 60,92 unequal: No Solution Exploring Operation: 28*88=2464, Resulting Numbers: [2464] 2464,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 92:[42, 18], Operations: ['34+12=46', '46-28=18'] Exploring Operation: 42-18=24, Resulting Numbers: [24] 24,92 unequal: No Solution Exploring Operation: 42*18=756, Resulting Numbers: [756] 756,92 unequal: No Solution Exploring Operation: 42+18=60, Resulting Numbers: [60] 60,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 92:[46, 14], Operations: ['34+12=46', '42-28=14'] Exploring Operation: 46*14=644, Resulting Numbers: [644] 644,92 unequal: No Solution Exploring Operation: 46+14=60, Resulting Numbers: [60] 60,92 unequal: No Solution Exploring Operation: 46-14=32, Resulting Numbers: [32] 32,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 92:[46, 70], Operations: ['34+12=46', '42+28=70'] Exploring Operation: 46+70=116, Resulting Numbers: [116] 116,92 unequal: No Solution Exploring Operation: 70-46=24, Resulting Numbers: [24] 24,92 unequal: No Solution Exploring Operation: 46*70=3220, Resulting Numbers: [3220] 3220,92 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: 92:[42, 28, 22], Operations: ['34-12=22'] Exploring Operation: 42+28=70, Resulting Numbers: [22, 70] Generated Node #0,2,0: 92:[22, 70] Operation: 42+28=70 Exploring Operation: 28+22=50, Resulting Numbers: [42, 50] Generated Node #0,2,1: 92:[42, 50] Operation: 28+22=50 Exploring Operation: 42-28=14, Resulting Numbers: [22, 14] Generated Node #0,2,2: 92:[22, 14] Operation: 42-28=14 Exploring Operation: 28-22=6, Resulting Numbers: [42, 6] Generated Node #0,2,3: 92:[42, 6] Operation: 28-22=6 Exploring Operation: 42-22=20, Resulting Numbers: [28, 20] Generated Node #0,2,4: 92:[28, 20] Operation: 42-22=20 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 92:[42, 6], Operations: ['34-12=22', '28-22=6'] Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,92 unequal: No Solution Exploring Operation: 42*6=252, Resulting Numbers: [252] 252,92 unequal: No Solution Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,92 unequal: No Solution Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 92:[42, 50], Operations: ['34-12=22', '28+22=50'] Exploring Operation: 50-42=8, Resulting Numbers: [8] 8,92 unequal: No Solution Exploring Operation: 42*50=2100, Resulting Numbers: [2100] 2100,92 unequal: No Solution Exploring Operation: 42+50=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[42, 28, 34, 12], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [42, 28, 22] Generated Node #0,2: 92:[42, 28, 22] Operation: 34-12=22 Moving to Node #0,2 Current State: 92:[42, 28, 22], Operations: ['34-12=22'] Exploring Operation: 28+22=50, Resulting Numbers: [42, 50] Generated Node #0,2,1: 92:[42, 50] Operation: 28+22=50 Moving to Node #0,2,1 Current State: 92:[42, 50], Operations: ['34-12=22', '28+22=50'] Exploring Operation: 42+50=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Exit Sub Search at level 1
0.963542
hs_5
mult_heuristic
[ 4, 98, 33, 6 ]
59
[ "98+6=104", "104/4=26", "33+26=59" ]
Current State: 59:[4, 98, 33, 6], Operations: [] Exploring Operation: 98+6=104, Resulting Numbers: [4, 33, 104] Generated Node #2: [4, 33, 104] from Operation: 98+6=104 Current State: 59:[4, 33, 104], Operations: ['98+6=104'] Exploring Operation: 104/4=26, Resulting Numbers: [33, 26] Generated Node #3: [33, 26] from Operation: 104/4=26 Current State: 59:[33, 26], Operations: ['98+6=104', '104/4=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[4, 98, 33, 6], Operations: [] Exploring Operation: 4+33=37, Resulting Numbers: [98, 6, 37] Generated Node #0,0: 59:[98, 6, 37] Operation: 4+33=37 Exploring Operation: 4*6=24, Resulting Numbers: [98, 33, 24] Generated Node #0,1: 59:[98, 33, 24] Operation: 4*6=24 Exploring Operation: 98-4=94, Resulting Numbers: [33, 6, 94] Generated Node #0,2: 59:[33, 6, 94] Operation: 98-4=94 Exploring Operation: 4+6=10, Resulting Numbers: [98, 33, 10] Generated Node #0,3: 59:[98, 33, 10] Operation: 4+6=10 Moving to Node #0,1 Current State: 59:[98, 33, 24], Operations: ['4*6=24'] Exploring Operation: 98-24=74, Resulting Numbers: [33, 74] Generated Node #0,1,0: 59:[33, 74] Operation: 98-24=74 Exploring Operation: 33+24=57, Resulting Numbers: [98, 57] Generated Node #0,1,1: 59:[98, 57] Operation: 33+24=57 Exploring Operation: 98+24=122, Resulting Numbers: [33, 122] Generated Node #0,1,2: 59:[33, 122] Operation: 98+24=122 Exploring Operation: 98-33=65, Resulting Numbers: [24, 65] Generated Node #0,1,3: 59:[24, 65] Operation: 98-33=65 Moving to Node #0,2 Current State: 59:[33, 6, 94], Operations: ['98-4=94'] Exploring Operation: 33-6=27, Resulting Numbers: [94, 27] Generated Node #0,2,0: 59:[94, 27] Operation: 33-6=27 Exploring Operation: 94-33=61, Resulting Numbers: [6, 61] Generated Node #0,2,1: 59:[6, 61] Operation: 94-33=61 Exploring Operation: 94-6=88, Resulting Numbers: [33, 88] Generated Node #0,2,2: 59:[33, 88] Operation: 94-6=88 Exploring Operation: 33+6=39, Resulting Numbers: [94, 39] Generated Node #0,2,3: 59:[94, 39] Operation: 33+6=39 Moving to Node #0,0 Current State: 59:[98, 6, 37], Operations: ['4+33=37'] Exploring Operation: 98-6=92, Resulting Numbers: [37, 92] Generated Node #0,0,0: 59:[37, 92] Operation: 98-6=92 Exploring Operation: 98+6=104, Resulting Numbers: [37, 104] Generated Node #0,0,1: 59:[37, 104] Operation: 98+6=104 Exploring Operation: 98-37=61, Resulting Numbers: [6, 61] Generated Node #0,0,2: 59:[6, 61] Operation: 98-37=61 Exploring Operation: 6+37=43, Resulting Numbers: [98, 43] Generated Node #0,0,3: 59:[98, 43] Operation: 6+37=43 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 59:[37, 92], Operations: ['4+33=37', '98-6=92'] Exploring Operation: 37+92=129, Resulting Numbers: [129] 129,59 unequal: No Solution Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 37*92=3404, Resulting Numbers: [3404] 3404,59 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:[6, 61], Operations: ['4+33=37', '98-37=61'] Exploring Operation: 6+61=67, Resulting Numbers: [67] 67,59 unequal: No Solution Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 6*61=366, Resulting Numbers: [366] 366,59 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:[98, 43], Operations: ['4+33=37', '6+37=43'] Exploring Operation: 98-43=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 98+43=141, Resulting Numbers: [141] 141,59 unequal: No Solution Exploring Operation: 98*43=4214, Resulting Numbers: [4214] 4214,59 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 #0,0,1 Current State: 59:[37, 104], Operations: ['4+33=37', '98+6=104'] Exploring Operation: 104-37=67, Resulting Numbers: [67] 67,59 unequal: No Solution Exploring Operation: 37+104=141, Resulting Numbers: [141] 141,59 unequal: No Solution Exploring Operation: 37*104=3848, Resulting Numbers: [3848] 3848,59 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: 59:[98, 33, 10], Operations: ['4+6=10'] Exploring Operation: 33+10=43, Resulting Numbers: [98, 43] Generated Node #0,3,0: 59:[98, 43] Operation: 33+10=43 Exploring Operation: 98+10=108, Resulting Numbers: [33, 108] Generated Node #0,3,1: 59:[33, 108] Operation: 98+10=108 Exploring Operation: 98-33=65, Resulting Numbers: [10, 65] Generated Node #0,3,2: 59:[10, 65] Operation: 98-33=65 Exploring Operation: 98-10=88, Resulting Numbers: [33, 88] Generated Node #0,3,3: 59:[33, 88] Operation: 98-10=88 Moving to Node #0,1,0 Current State: 59:[33, 74], Operations: ['4*6=24', '98-24=74'] Exploring Operation: 33+74=107, Resulting Numbers: [107] 107,59 unequal: No Solution Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,59 unequal: No Solution Exploring Operation: 33*74=2442, Resulting Numbers: [2442] 2442,59 unequal: No Solution Moving to Node #0,1,3 Current State: 59:[24, 65], Operations: ['4*6=24', '98-33=65'] Exploring Operation: 65-24=41, Resulting Numbers: [41] 41,59 unequal: No Solution Exploring Operation: 24*65=1560, Resulting Numbers: [1560] 1560,59 unequal: No Solution Exploring Operation: 24+65=89, Resulting Numbers: [89] 89,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[98, 57], Operations: ['4*6=24', '33+24=57'] Exploring Operation: 98*57=5586, Resulting Numbers: [5586] 5586,59 unequal: No Solution Exploring Operation: 98-57=41, Resulting Numbers: [41] 41,59 unequal: No Solution Exploring Operation: 98+57=155, Resulting Numbers: [155] 155,59 unequal: No Solution Moving to Node #0,2,3 Current State: 59:[94, 39], Operations: ['98-4=94', '33+6=39'] Exploring Operation: 94*39=3666, Resulting Numbers: [3666] 3666,59 unequal: No Solution Exploring Operation: 94+39=133, Resulting Numbers: [133] 133,59 unequal: No Solution Exploring Operation: 94-39=55, Resulting Numbers: [55] 55,59 unequal: No Solution Moving to Node #0,2,2 Current State: 59:[33, 88], Operations: ['98-4=94', '94-6=88'] Exploring Operation: 33+88=121, Resulting Numbers: [121] 121,59 unequal: No Solution Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 33*88=2904, Resulting Numbers: [2904] 2904,59 unequal: No Solution Moving to Node #0,3,3 Current State: 59:[33, 88], Operations: ['4+6=10', '98-10=88'] Exploring Operation: 33+88=121, Resulting Numbers: [121] 121,59 unequal: No Solution Exploring Operation: 33*88=2904, Resulting Numbers: [2904] 2904,59 unequal: No Solution Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,59 unequal: No Solution Moving to Node #0,2,1 Current State: 59:[6, 61], Operations: ['98-4=94', '94-33=61'] Exploring Operation: 6+61=67, Resulting Numbers: [67] 67,59 unequal: No Solution Exploring Operation: 6*61=366, Resulting Numbers: [366] 366,59 unequal: No Solution Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,59 unequal: No Solution Moving to Node #0,3,2 Current State: 59:[10, 65], Operations: ['4+6=10', '98-33=65'] Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,59 unequal: No Solution Exploring Operation: 10*65=650, Resulting Numbers: [650] 650,59 unequal: No Solution Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,59 unequal: No Solution Moving to Node #0,3,0 Current State: 59:[98, 43], Operations: ['4+6=10', '33+10=43'] Exploring Operation: 98+43=141, Resulting Numbers: [141] 141,59 unequal: No Solution Exploring Operation: 98-43=55, Resulting Numbers: [55] 55,59 unequal: No Solution Exploring Operation: 98*43=4214, Resulting Numbers: [4214] 4214,59 unequal: No Solution Moving to Node #0,2,0 Current State: 59:[94, 27], Operations: ['98-4=94', '33-6=27'] Exploring Operation: 94+27=121, Resulting Numbers: [121] 121,59 unequal: No Solution Exploring Operation: 94-27=67, Resulting Numbers: [67] 67,59 unequal: No Solution Exploring Operation: 94*27=2538, Resulting Numbers: [2538] 2538,59 unequal: No Solution Moving to Node #0,3,1 Current State: 59:[33, 108], Operations: ['4+6=10', '98+10=108'] Exploring Operation: 33*108=3564, Resulting Numbers: [3564] 3564,59 unequal: No Solution Exploring Operation: 108-33=75, Resulting Numbers: [75] 75,59 unequal: No Solution Exploring Operation: 33+108=141, Resulting Numbers: [141] 141,59 unequal: No Solution Moving to Node #0,1,2 Current State: 59:[33, 122], Operations: ['4*6=24', '98+24=122'] Exploring Operation: 122-33=89, Resulting Numbers: [89] 89,59 unequal: No Solution Exploring Operation: 33+122=155, Resulting Numbers: [155] 155,59 unequal: No Solution Exploring Operation: 33*122=4026, Resulting Numbers: [4026] 4026,59 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 38, 33, 45, 7 ]
57
[ "38-33=5", "45+7=52", "5+52=57" ]
Current State: 57:[38, 33, 45, 7], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [45, 7, 5] Generated Node #2: [45, 7, 5] from Operation: 38-33=5 Current State: 57:[45, 7, 5], Operations: ['38-33=5'] Exploring Operation: 45+7=52, Resulting Numbers: [5, 52] Generated Node #3: [5, 52] from Operation: 45+7=52 Current State: 57:[5, 52], Operations: ['38-33=5', '45+7=52'] Exploring Operation: 5+52=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[38, 33, 45, 7], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [45, 7, 5] Generated Node #0,0: 57:[45, 7, 5] Operation: 38-33=5 Exploring Operation: 45-38=7, Resulting Numbers: [33, 7, 7] Generated Node #0,1: 57:[33, 7, 7] Operation: 45-38=7 Moving to Node #0,0 Current State: 57:[45, 7, 5], Operations: ['38-33=5'] Exploring Operation: 45+7=52, Resulting Numbers: [5, 52] Generated Node #0,0,0: 57:[5, 52] Operation: 45+7=52 Exploring Operation: 45/5=9, Resulting Numbers: [7, 9] Generated Node #0,0,1: 57:[7, 9] Operation: 45/5=9 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 57:[5, 52], Operations: ['38-33=5', '45+7=52'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,57 unequal: No Solution Exploring Operation: 5+52=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[38, 33, 45, 7], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [45, 7, 5] Generated Node #0,0: 57:[45, 7, 5] Operation: 38-33=5 Moving to Node #0,0 Current State: 57:[45, 7, 5], Operations: ['38-33=5'] Exploring Operation: 45+7=52, Resulting Numbers: [5, 52] Generated Node #0,0,0: 57:[5, 52] Operation: 45+7=52 Moving to Node #0,0,0 Current State: 57:[5, 52], Operations: ['38-33=5', '45+7=52'] Exploring Operation: 5+52=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 83, 60, 40, 57 ]
41
[ "83+40=123", "60-57=3", "123/3=41" ]
Current State: 41:[83, 60, 40, 57], Operations: [] Exploring Operation: 83+40=123, Resulting Numbers: [60, 57, 123] Generated Node #2: [60, 57, 123] from Operation: 83+40=123 Current State: 41:[60, 57, 123], Operations: ['83+40=123'] Exploring Operation: 60-57=3, Resulting Numbers: [123, 3] Generated Node #3: [123, 3] from Operation: 60-57=3 Current State: 41:[123, 3], Operations: ['83+40=123', '60-57=3'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[83, 60, 40, 57], Operations: [] Exploring Operation: 83-60=23, Resulting Numbers: [40, 57, 23] Generated Node #0,0: 41:[40, 57, 23] Operation: 83-60=23 Exploring Operation: 83-57=26, Resulting Numbers: [60, 40, 26] Generated Node #0,1: 41:[60, 40, 26] Operation: 83-57=26 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[40, 57, 23], Operations: ['83-60=23'] Exploring Operation: 57-23=34, Resulting Numbers: [40, 34] Generated Node #0,0,0: 41:[40, 34] Operation: 57-23=34 Exploring Operation: 40+23=63, Resulting Numbers: [57, 63] Generated Node #0,0,1: 41:[57, 63] Operation: 40+23=63 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[40, 34], Operations: ['83-60=23', '57-23=34'] Exploring Operation: 40+34=74, Resulting Numbers: [74] 74,41 unequal: No Solution Exploring Operation: 40-34=6, Resulting Numbers: [6] 6,41 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 #0,0,1 Current State: 41:[57, 63], Operations: ['83-60=23', '40+23=63'] Exploring Operation: 63-57=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 57+63=120, Resulting Numbers: [120] 120,41 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 #0,1 Current State: 41:[60, 40, 26], Operations: ['83-57=26'] Exploring Operation: 60-40=20, Resulting Numbers: [26, 20] Generated Node #0,1,0: 41:[26, 20] Operation: 60-40=20 Exploring Operation: 60-26=34, Resulting Numbers: [40, 34] Generated Node #0,1,1: 41:[40, 34] Operation: 60-26=34 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 41:[40, 34], Operations: ['83-57=26', '60-26=34'] Exploring Operation: 40-34=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 40+34=74, Resulting Numbers: [74] 74,41 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 #0,1,0 Current State: 41:[26, 20], Operations: ['83-57=26', '60-40=20'] Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,41 unequal: No Solution Exploring Operation: 26-20=6, Resulting Numbers: [6] 6,41 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_2
sum_heuristic
[ 26, 56, 65, 63 ]
15
[ "56-26=30", "65-63=2", "30/2=15" ]
Current State: 15:[26, 56, 65, 63], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [65, 63, 30] Generated Node #2: [65, 63, 30] from Operation: 56-26=30 Current State: 15:[65, 63, 30], Operations: ['56-26=30'] Exploring Operation: 65-63=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 65-63=2 Current State: 15:[30, 2], Operations: ['56-26=30', '65-63=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[26, 56, 65, 63], Operations: [] Exploring Operation: 63-56=7, Resulting Numbers: [26, 65, 7] Generated Node #0,0: 15:[26, 65, 7] Operation: 63-56=7 Exploring Operation: 65-63=2, Resulting Numbers: [26, 56, 2] Generated Node #0,1: 15:[26, 56, 2] Operation: 65-63=2 Exploring Operation: 65-56=9, Resulting Numbers: [26, 63, 9] Generated Node #0,2: 15:[26, 63, 9] Operation: 65-56=9 Moving to Node #0,1 Current State: 15:[26, 56, 2], Operations: ['65-63=2'] Exploring Operation: 56/2=28, Resulting Numbers: [26, 28] Generated Node #0,1,0: 15:[26, 28] Operation: 56/2=28 Exploring Operation: 56-26=30, Resulting Numbers: [2, 30] Generated Node #0,1,1: 15:[2, 30] Operation: 56-26=30 Exploring Operation: 26/2=13, Resulting Numbers: [56, 13] Generated Node #0,1,2: 15:[56, 13] Operation: 26/2=13 Moving to Node #0,0 Current State: 15:[26, 65, 7], Operations: ['63-56=7'] Exploring Operation: 65-26=39, Resulting Numbers: [7, 39] Generated Node #0,0,0: 15:[7, 39] Operation: 65-26=39 Exploring Operation: 26-7=19, Resulting Numbers: [65, 19] Generated Node #0,0,1: 15:[65, 19] Operation: 26-7=19 Exploring Operation: 65-7=58, Resulting Numbers: [26, 58] Generated Node #0,0,2: 15:[26, 58] Operation: 65-7=58 Moving to Node #0,2 Current State: 15:[26, 63, 9], Operations: ['65-56=9'] Exploring Operation: 26-9=17, Resulting Numbers: [63, 17] Generated Node #0,2,0: 15:[63, 17] Operation: 26-9=17 Exploring Operation: 63/9=7, Resulting Numbers: [26, 7] Generated Node #0,2,1: 15:[26, 7] Operation: 63/9=7 Exploring Operation: 63-26=37, Resulting Numbers: [9, 37] Generated Node #0,2,2: 15:[9, 37] Operation: 63-26=37 Moving to Node #0,2,1 Current State: 15:[26, 7], Operations: ['65-56=9', '63/9=7'] Exploring Operation: 26*7=182, Resulting Numbers: [182] 182,15 unequal: No Solution Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,15 unequal: No Solution Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,15 unequal: No Solution Moving to Node #0,1,1 Current State: 15:[2, 30], Operations: ['65-63=2', '56-26=30'] Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,15 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[26, 56, 65, 63], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [26, 56, 2] Generated Node #0,1: 15:[26, 56, 2] Operation: 65-63=2 Moving to Node #0,1 Current State: 15:[26, 56, 2], Operations: ['65-63=2'] Exploring Operation: 56-26=30, Resulting Numbers: [2, 30] Generated Node #0,1,1: 15:[2, 30] Operation: 56-26=30 Moving to Node #0,1,1 Current State: 15:[2, 30], Operations: ['65-63=2', '56-26=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
0.981771
hs_3
sum_heuristic
[ 87, 77, 27, 70 ]
34
[ "87-77=10", "70/10=7", "27+7=34" ]
Current State: 34:[87, 77, 27, 70], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [27, 70, 10] Generated Node #2: [27, 70, 10] from Operation: 87-77=10 Current State: 34:[27, 70, 10], Operations: ['87-77=10'] Exploring Operation: 70/10=7, Resulting Numbers: [27, 7] Generated Node #3: [27, 7] from Operation: 70/10=7 Current State: 34:[27, 7], Operations: ['87-77=10', '70/10=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[87, 77, 27, 70], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [77, 27, 17] Generated Node #0,0: 34:[77, 27, 17] Operation: 87-70=17 Exploring Operation: 87-77=10, Resulting Numbers: [27, 70, 10] Generated Node #0,1: 34:[27, 70, 10] Operation: 87-77=10 Moving to Node #0,0 Current State: 34:[77, 27, 17], Operations: ['87-70=17'] Exploring Operation: 77-17=60, Resulting Numbers: [27, 60] Generated Node #0,0,0: 34:[27, 60] Operation: 77-17=60 Exploring Operation: 77-27=50, Resulting Numbers: [17, 50] Generated Node #0,0,1: 34:[17, 50] Operation: 77-27=50 Moving to Node #0,1 Current State: 34:[27, 70, 10], Operations: ['87-77=10'] Exploring Operation: 70-27=43, Resulting Numbers: [10, 43] Generated Node #0,1,0: 34:[10, 43] Operation: 70-27=43 Exploring Operation: 70/10=7, Resulting Numbers: [27, 7] Generated Node #0,1,1: 34:[27, 7] Operation: 70/10=7 Moving to Node #0,1,1 Current State: 34:[27, 7], Operations: ['87-77=10', '70/10=7'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,34 unequal: No Solution Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[87, 77, 27, 70], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [27, 70, 10] Generated Node #0,1: 34:[27, 70, 10] Operation: 87-77=10 Moving to Node #0,1 Current State: 34:[27, 70, 10], Operations: ['87-77=10'] Exploring Operation: 70/10=7, Resulting Numbers: [27, 7] Generated Node #0,1,1: 34:[27, 7] Operation: 70/10=7 Moving to Node #0,1,1 Current State: 34:[27, 7], Operations: ['87-77=10', '70/10=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
0.989583
hs_2
mult_heuristic
[ 38, 4, 97, 13 ]
15
[ "38+97=135", "13-4=9", "135/9=15" ]
Current State: 15:[38, 4, 97, 13], Operations: [] Exploring Operation: 38+97=135, Resulting Numbers: [4, 13, 135] Generated Node #2: [4, 13, 135] from Operation: 38+97=135 Current State: 15:[4, 13, 135], Operations: ['38+97=135'] Exploring Operation: 13-4=9, Resulting Numbers: [135, 9] Generated Node #3: [135, 9] from Operation: 13-4=9 Current State: 15:[135, 9], Operations: ['38+97=135', '13-4=9'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[38, 4, 97, 13], Operations: [] Exploring Operation: 38-13=25, Resulting Numbers: [4, 97, 25] Generated Node #0,0: 15:[4, 97, 25] Operation: 38-13=25 Exploring Operation: 97-13=84, Resulting Numbers: [38, 4, 84] Generated Node #0,1: 15:[38, 4, 84] Operation: 97-13=84 Exploring Operation: 38-4=34, Resulting Numbers: [97, 13, 34] Generated Node #0,2: 15:[97, 13, 34] Operation: 38-4=34 Exploring Operation: 97-38=59, Resulting Numbers: [4, 13, 59] Generated Node #0,3: 15:[4, 13, 59] Operation: 97-38=59 Moving to Node #0,3 Current State: 15:[4, 13, 59], Operations: ['97-38=59'] Exploring Operation: 59-13=46, Resulting Numbers: [4, 46] Generated Node #0,3,0: 15:[4, 46] Operation: 59-13=46 Exploring Operation: 4+13=17, Resulting Numbers: [59, 17] Generated Node #0,3,1: 15:[59, 17] Operation: 4+13=17 Exploring Operation: 13-4=9, Resulting Numbers: [59, 9] Generated Node #0,3,2: 15:[59, 9] Operation: 13-4=9 Exploring Operation: 59-4=55, Resulting Numbers: [13, 55] Generated Node #0,3,3: 15:[13, 55] Operation: 59-4=55 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 15:[4, 46], Operations: ['97-38=59', '59-13=46'] Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,15 unequal: No Solution Exploring Operation: 4*46=184, Resulting Numbers: [184] 184,15 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 15:[13, 55], Operations: ['97-38=59', '59-4=55'] Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,15 unequal: No Solution Exploring Operation: 13*55=715, Resulting Numbers: [715] 715,15 unequal: No Solution Exploring Operation: 13+55=68, Resulting Numbers: [68] 68,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 15:[59, 17], Operations: ['97-38=59', '4+13=17'] Exploring Operation: 59-17=42, Resulting Numbers: [42] 42,15 unequal: No Solution Exploring Operation: 59+17=76, Resulting Numbers: [76] 76,15 unequal: No Solution Exploring Operation: 59*17=1003, Resulting Numbers: [1003] 1003,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 15:[59, 9], Operations: ['97-38=59', '13-4=9'] Exploring Operation: 59*9=531, Resulting Numbers: [531] 531,15 unequal: No Solution Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,15 unequal: No Solution Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,15 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: 15:[38, 4, 84], Operations: ['97-13=84'] Exploring Operation: 38-4=34, Resulting Numbers: [84, 34] Generated Node #0,1,0: 15:[84, 34] Operation: 38-4=34 Exploring Operation: 84/4=21, Resulting Numbers: [38, 21] Generated Node #0,1,1: 15:[38, 21] Operation: 84/4=21 Exploring Operation: 84-4=80, Resulting Numbers: [38, 80] Generated Node #0,1,2: 15:[38, 80] Operation: 84-4=80 Exploring Operation: 84-38=46, Resulting Numbers: [4, 46] Generated Node #0,1,3: 15:[4, 46] Operation: 84-38=46 Moving to Node #0,0 Current State: 15:[4, 97, 25], Operations: ['38-13=25'] Exploring Operation: 4+97=101, Resulting Numbers: [25, 101] Generated Node #0,0,0: 15:[25, 101] Operation: 4+97=101 Exploring Operation: 97-4=93, Resulting Numbers: [25, 93] Generated Node #0,0,1: 15:[25, 93] Operation: 97-4=93 Exploring Operation: 25-4=21, Resulting Numbers: [97, 21] Generated Node #0,0,2: 15:[97, 21] Operation: 25-4=21 Exploring Operation: 97-25=72, Resulting Numbers: [4, 72] Generated Node #0,0,3: 15:[4, 72] Operation: 97-25=72 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 15:[4, 72], Operations: ['38-13=25', '97-25=72'] Exploring Operation: 4*72=288, Resulting Numbers: [288] 288,15 unequal: No Solution Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,15 unequal: No Solution Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,15 unequal: No Solution Exploring Operation: 4+72=76, Resulting Numbers: [76] 76,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 15:[25, 93], Operations: ['38-13=25', '97-4=93'] Exploring Operation: 25+93=118, Resulting Numbers: [118] 118,15 unequal: No Solution Exploring Operation: 93-25=68, Resulting Numbers: [68] 68,15 unequal: No Solution Exploring Operation: 25*93=2325, Resulting Numbers: [2325] 2325,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 15:[97, 21], Operations: ['38-13=25', '25-4=21'] Exploring Operation: 97*21=2037, Resulting Numbers: [2037] 2037,15 unequal: No Solution Exploring Operation: 97+21=118, Resulting Numbers: [118] 118,15 unequal: No Solution Exploring Operation: 97-21=76, Resulting Numbers: [76] 76,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 15:[25, 101], Operations: ['38-13=25', '4+97=101'] Exploring Operation: 101-25=76, Resulting Numbers: [76] 76,15 unequal: No Solution Exploring Operation: 25+101=126, Resulting Numbers: [126] 126,15 unequal: No Solution Exploring Operation: 25*101=2525, Resulting Numbers: [2525] 2525,15 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: 15:[97, 13, 34], Operations: ['38-4=34'] Exploring Operation: 97-34=63, Resulting Numbers: [13, 63] Generated Node #0,2,0: 15:[13, 63] Operation: 97-34=63 Exploring Operation: 97-13=84, Resulting Numbers: [34, 84] Generated Node #0,2,1: 15:[34, 84] Operation: 97-13=84 Exploring Operation: 34-13=21, Resulting Numbers: [97, 21] Generated Node #0,2,2: 15:[97, 21] Operation: 34-13=21 Exploring Operation: 97+13=110, Resulting Numbers: [34, 110] Generated Node #0,2,3: 15:[34, 110] Operation: 97+13=110 Moving to Node #0,1,1 Current State: 15:[38, 21], Operations: ['97-13=84', '84/4=21'] Exploring Operation: 38+21=59, Resulting Numbers: [59] 59,15 unequal: No Solution Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,15 unequal: No Solution Exploring Operation: 38*21=798, Resulting Numbers: [798] 798,15 unequal: No Solution Moving to Node #0,1,3 Current State: 15:[4, 46], Operations: ['97-13=84', '84-38=46'] Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,15 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,15 unequal: No Solution Exploring Operation: 4*46=184, Resulting Numbers: [184] 184,15 unequal: No Solution Moving to Node #0,2,0 Current State: 15:[13, 63], Operations: ['38-4=34', '97-34=63'] Exploring Operation: 13+63=76, Resulting Numbers: [76] 76,15 unequal: No Solution Exploring Operation: 13*63=819, Resulting Numbers: [819] 819,15 unequal: No Solution Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,15 unequal: No Solution Moving to Node #0,1,0 Current State: 15:[84, 34], Operations: ['97-13=84', '38-4=34'] Exploring Operation: 84-34=50, Resulting Numbers: [50] 50,15 unequal: No Solution Exploring Operation: 84*34=2856, Resulting Numbers: [2856] 2856,15 unequal: No Solution Exploring Operation: 84+34=118, Resulting Numbers: [118] 118,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[34, 84], Operations: ['38-4=34', '97-13=84'] Exploring Operation: 34+84=118, Resulting Numbers: [118] 118,15 unequal: No Solution Exploring Operation: 84-34=50, Resulting Numbers: [50] 50,15 unequal: No Solution Exploring Operation: 34*84=2856, Resulting Numbers: [2856] 2856,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[38, 80], Operations: ['97-13=84', '84-4=80'] Exploring Operation: 38*80=3040, Resulting Numbers: [3040] 3040,15 unequal: No Solution Exploring Operation: 38+80=118, Resulting Numbers: [118] 118,15 unequal: No Solution Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,15 unequal: No Solution Moving to Node #0,2,2 Current State: 15:[97, 21], Operations: ['38-4=34', '34-13=21'] Exploring Operation: 97-21=76, Resulting Numbers: [76] 76,15 unequal: No Solution Exploring Operation: 97*21=2037, Resulting Numbers: [2037] 2037,15 unequal: No Solution Exploring Operation: 97+21=118, Resulting Numbers: [118] 118,15 unequal: No Solution Moving to Node #0,2,3 Current State: 15:[34, 110], Operations: ['38-4=34', '97+13=110'] Exploring Operation: 34+110=144, Resulting Numbers: [144] 144,15 unequal: No Solution Exploring Operation: 110-34=76, Resulting Numbers: [76] 76,15 unequal: No Solution Exploring Operation: 34*110=3740, Resulting Numbers: [3740] 3740,15 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 88, 43, 46, 12 ]
52
[ "46-43=3", "12*3=36", "88-36=52" ]
Current State: 52:[88, 43, 46, 12], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [88, 12, 3] Generated Node #2: [88, 12, 3] from Operation: 46-43=3 Current State: 52:[88, 12, 3], Operations: ['46-43=3'] Exploring Operation: 12*3=36, Resulting Numbers: [88, 36] Generated Node #3: [88, 36] from Operation: 12*3=36 Current State: 52:[88, 36], Operations: ['46-43=3', '12*3=36'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[88, 43, 46, 12], Operations: [] Exploring Operation: 88-43=45, Resulting Numbers: [46, 12, 45] Generated Node #0,0: 52:[46, 12, 45] Operation: 88-43=45 Exploring Operation: 88-12=76, Resulting Numbers: [43, 46, 76] Generated Node #0,1: 52:[43, 46, 76] Operation: 88-12=76 Exploring Operation: 46-43=3, Resulting Numbers: [88, 12, 3] Generated Node #0,2: 52:[88, 12, 3] Operation: 46-43=3 Exploring Operation: 43+12=55, Resulting Numbers: [88, 46, 55] Generated Node #0,3: 52:[88, 46, 55] Operation: 43+12=55 Exploring Operation: 88-46=42, Resulting Numbers: [43, 12, 42] Generated Node #0,4: 52:[43, 12, 42] Operation: 88-46=42 Moving to Node #0,0 Current State: 52:[46, 12, 45], Operations: ['88-43=45'] Exploring Operation: 45-12=33, Resulting Numbers: [46, 33] Generated Node #0,0,0: 52:[46, 33] Operation: 45-12=33 Exploring Operation: 46+12=58, Resulting Numbers: [45, 58] Generated Node #0,0,1: 52:[45, 58] Operation: 46+12=58 Exploring Operation: 46-45=1, Resulting Numbers: [12, 1] Generated Node #0,0,2: 52:[12, 1] Operation: 46-45=1 Exploring Operation: 12+45=57, Resulting Numbers: [46, 57] Generated Node #0,0,3: 52:[46, 57] Operation: 12+45=57 Exploring Operation: 46-12=34, Resulting Numbers: [45, 34] Generated Node #0,0,4: 52:[45, 34] Operation: 46-12=34 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 52:[12, 1], Operations: ['88-43=45', '46-45=1'] Exploring Operation: 12/1=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 12*1=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 12+1=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 52:[46, 57], Operations: ['88-43=45', '12+45=57'] Exploring Operation: 46*57=2622, Resulting Numbers: [2622] 2622,52 unequal: No Solution Exploring Operation: 46+57=103, Resulting Numbers: [103] 103,52 unequal: No Solution Exploring Operation: 57-46=11, Resulting Numbers: [11] 11,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[46, 33], Operations: ['88-43=45', '45-12=33'] Exploring Operation: 46*33=1518, Resulting Numbers: [1518] 1518,52 unequal: No Solution Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 52:[45, 58], Operations: ['88-43=45', '46+12=58'] Exploring Operation: 45*58=2610, Resulting Numbers: [2610] 2610,52 unequal: No Solution Exploring Operation: 58-45=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 45+58=103, Resulting Numbers: [103] 103,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 52:[45, 34], Operations: ['88-43=45', '46-12=34'] Exploring Operation: 45*34=1530, Resulting Numbers: [1530] 1530,52 unequal: No Solution Exploring Operation: 45+34=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 52:[43, 12, 42], Operations: ['88-46=42'] Exploring Operation: 12+42=54, Resulting Numbers: [43, 54] Generated Node #0,4,0: 52:[43, 54] Operation: 12+42=54 Exploring Operation: 43-42=1, Resulting Numbers: [12, 1] Generated Node #0,4,1: 52:[12, 1] Operation: 43-42=1 Exploring Operation: 42-12=30, Resulting Numbers: [43, 30] Generated Node #0,4,2: 52:[43, 30] Operation: 42-12=30 Exploring Operation: 43+12=55, Resulting Numbers: [42, 55] Generated Node #0,4,3: 52:[42, 55] Operation: 43+12=55 Exploring Operation: 43-12=31, Resulting Numbers: [42, 31] Generated Node #0,4,4: 52:[42, 31] Operation: 43-12=31 Moving to Node #0,2 Current State: 52:[88, 12, 3], Operations: ['46-43=3'] Exploring Operation: 12/3=4, Resulting Numbers: [88, 4] Generated Node #0,2,0: 52:[88, 4] Operation: 12/3=4 Exploring Operation: 88+3=91, Resulting Numbers: [12, 91] Generated Node #0,2,1: 52:[12, 91] Operation: 88+3=91 Exploring Operation: 88-12=76, Resulting Numbers: [3, 76] Generated Node #0,2,2: 52:[3, 76] Operation: 88-12=76 Exploring Operation: 88-3=85, Resulting Numbers: [12, 85] Generated Node #0,2,3: 52:[12, 85] Operation: 88-3=85 Exploring Operation: 12+3=15, Resulting Numbers: [88, 15] Generated Node #0,2,4: 52:[88, 15] Operation: 12+3=15 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 52:[3, 76], Operations: ['46-43=3', '88-12=76'] Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 3*76=228, Resulting Numbers: [228] 228,52 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 #0,2,3 Current State: 52:[12, 85], Operations: ['46-43=3', '88-3=85'] Exploring Operation: 12*85=1020, Resulting Numbers: [1020] 1020,52 unequal: No Solution Exploring Operation: 12+85=97, Resulting Numbers: [97] 97,52 unequal: No Solution Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,52 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 #0,2,0 Current State: 52:[88, 4], Operations: ['46-43=3', '12/3=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,52 unequal: No Solution Exploring Operation: 88+4=92, Resulting Numbers: [92] 92,52 unequal: No Solution Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,52 unequal: No Solution Exploring Operation: 88*4=352, Resulting Numbers: [352] 352,52 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 #0,2,4 Current State: 52:[88, 15], Operations: ['46-43=3', '12+3=15'] Exploring Operation: 88-15=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 88+15=103, Resulting Numbers: [103] 103,52 unequal: No Solution Exploring Operation: 88*15=1320, Resulting Numbers: [1320] 1320,52 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 #0,2,1 Current State: 52:[12, 91], Operations: ['46-43=3', '88+3=91'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 12+91=103, Resulting Numbers: [103] 103,52 unequal: No Solution Exploring Operation: 12*91=1092, Resulting Numbers: [1092] 1092,52 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: 52:[43, 46, 76], Operations: ['88-12=76'] Exploring Operation: 76-43=33, Resulting Numbers: [46, 33] Generated Node #0,1,0: 52:[46, 33] Operation: 76-43=33 Exploring Operation: 76-46=30, Resulting Numbers: [43, 30] Generated Node #0,1,1: 52:[43, 30] Operation: 76-46=30 Exploring Operation: 43+46=89, Resulting Numbers: [76, 89] Generated Node #0,1,2: 52:[76, 89] Operation: 43+46=89 Exploring Operation: 43+76=119, Resulting Numbers: [46, 119] Generated Node #0,1,3: 52:[46, 119] Operation: 43+76=119 Exploring Operation: 46-43=3, Resulting Numbers: [76, 3] Generated Node #0,1,4: 52:[76, 3] Operation: 46-43=3 Moving to Node #0,3 Current State: 52:[88, 46, 55], Operations: ['43+12=55'] Exploring Operation: 88-55=33, Resulting Numbers: [46, 33] Generated Node #0,3,0: 52:[46, 33] Operation: 88-55=33 Exploring Operation: 88+46=134, Resulting Numbers: [55, 134] Generated Node #0,3,1: 52:[55, 134] Operation: 88+46=134 Exploring Operation: 55-46=9, Resulting Numbers: [88, 9] Generated Node #0,3,2: 52:[88, 9] Operation: 55-46=9 Exploring Operation: 46+55=101, Resulting Numbers: [88, 101] Generated Node #0,3,3: 52:[88, 101] Operation: 46+55=101 Exploring Operation: 88-46=42, Resulting Numbers: [55, 42] Generated Node #0,3,4: 52:[55, 42] Operation: 88-46=42 Moving to Node #0,4,1 Current State: 52:[12, 1], Operations: ['88-46=42', '43-42=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 12/1=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 12+1=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 12*1=12, Resulting Numbers: [12] 12,52 unequal: No Solution Moving to Node #0,4,0 Current State: 52:[43, 54], Operations: ['88-46=42', '12+42=54'] Exploring Operation: 54-43=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 43*54=2322, Resulting Numbers: [2322] 2322,52 unequal: No Solution Exploring Operation: 43+54=97, Resulting Numbers: [97] 97,52 unequal: No Solution Moving to Node #0,4,2 Current State: 52:[43, 30], Operations: ['88-46=42', '42-12=30'] Exploring Operation: 43*30=1290, Resulting Numbers: [1290] 1290,52 unequal: No Solution Exploring Operation: 43-30=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,52 unequal: No Solution Moving to Node #0,1,1 Current State: 52:[43, 30], Operations: ['88-12=76', '76-46=30'] Exploring Operation: 43-30=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 43*30=1290, Resulting Numbers: [1290] 1290,52 unequal: No Solution Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,52 unequal: No Solution Moving to Node #0,1,0 Current State: 52:[46, 33], Operations: ['88-12=76', '76-43=33'] Exploring Operation: 46*33=1518, Resulting Numbers: [1518] 1518,52 unequal: No Solution Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[55, 42], Operations: ['43+12=55', '88-46=42'] Exploring Operation: 55-42=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 55*42=2310, Resulting Numbers: [2310] 2310,52 unequal: No Solution Exploring Operation: 55+42=97, Resulting Numbers: [97] 97,52 unequal: No Solution Moving to Node #0,3,0 Current State: 52:[46, 33], Operations: ['43+12=55', '88-55=33'] Exploring Operation: 46*33=1518, Resulting Numbers: [1518] 1518,52 unequal: No Solution Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,52 unequal: No Solution Moving to Node #0,4,3 Current State: 52:[42, 55], Operations: ['88-46=42', '43+12=55'] Exploring Operation: 55-42=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 42*55=2310, Resulting Numbers: [2310] 2310,52 unequal: No Solution Exploring Operation: 42+55=97, Resulting Numbers: [97] 97,52 unequal: No Solution Moving to Node #0,4,4 Current State: 52:[42, 31], Operations: ['88-46=42', '43-12=31'] Exploring Operation: 42+31=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 42-31=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 42*31=1302, Resulting Numbers: [1302] 1302,52 unequal: No Solution Moving to Node #0,1,4 Current State: 52:[76, 3], Operations: ['88-12=76', '46-43=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 76*3=228, Resulting Numbers: [228] 228,52 unequal: No Solution Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[88, 9], Operations: ['43+12=55', '55-46=9'] Exploring Operation: 88*9=792, Resulting Numbers: [792] 792,52 unequal: No Solution Exploring Operation: 88+9=97, Resulting Numbers: [97] 97,52 unequal: No Solution Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,52 unequal: No Solution Moving to Node #0,1,2 Current State: 52:[76, 89], Operations: ['88-12=76', '43+46=89'] Exploring Operation: 76+89=165, Resulting Numbers: [165] 165,52 unequal: No Solution Exploring Operation: 76*89=6764, Resulting Numbers: [6764] 6764,52 unequal: No Solution Exploring Operation: 89-76=13, Resulting Numbers: [13] 13,52 unequal: No Solution Moving to Node #0,1,3 Current State: 52:[46, 119], Operations: ['88-12=76', '43+76=119'] Exploring Operation: 119-46=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 46+119=165, Resulting Numbers: [165] 165,52 unequal: No Solution Exploring Operation: 46*119=5474, Resulting Numbers: [5474] 5474,52 unequal: No Solution Moving to Node #0,3,1 Current State: 52:[55, 134], Operations: ['43+12=55', '88+46=134'] Exploring Operation: 55*134=7370, Resulting Numbers: [7370] 7370,52 unequal: No Solution Exploring Operation: 134-55=79, Resulting Numbers: [79] 79,52 unequal: No Solution Exploring Operation: 55+134=189, Resulting Numbers: [189] 189,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[88, 101], Operations: ['43+12=55', '46+55=101'] Exploring Operation: 101-88=13, Resulting Numbers: [13] 13,52 unequal: No Solution Exploring Operation: 88+101=189, Resulting Numbers: [189] 189,52 unequal: No Solution Exploring Operation: 88*101=8888, Resulting Numbers: [8888] 8888,52 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 7, 26, 4, 2 ]
37
[ "26-4=22", "2*22=44", "44-7=37" ]
Current State: 37:[7, 26, 4, 2], Operations: [] Exploring Operation: 26-4=22, Resulting Numbers: [7, 2, 22] Generated Node #2: [7, 2, 22] from Operation: 26-4=22 Current State: 37:[7, 2, 22], Operations: ['26-4=22'] Exploring Operation: 2*22=44, Resulting Numbers: [7, 44] Generated Node #3: [7, 44] from Operation: 2*22=44 Current State: 37:[7, 44], Operations: ['26-4=22', '2*22=44'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[7, 26, 4, 2], Operations: [] Exploring Operation: 7*4=28, Resulting Numbers: [26, 2, 28] Generated Node #0,0: 37:[26, 2, 28] Operation: 7*4=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 37:[26, 2, 28], Operations: ['7*4=28'] Exploring Operation: 26+2=28, Resulting Numbers: [28, 28] Generated Node #0,0,0: 37:[28, 28] Operation: 26+2=28 Moving to Node #0,0,0 Current State: 37:[28, 28], Operations: ['7*4=28', '26+2=28'] Exploring Operation: 28+28=56, Resulting Numbers: [56] 56,37 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
[ 83, 54, 29, 17 ]
41
[ "83-54=29", "29-17=12", "29+12=41" ]
Current State: 41:[83, 54, 29, 17], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [29, 17, 29] Generated Node #2: [29, 17, 29] from Operation: 83-54=29 Current State: 41:[29, 17, 29], Operations: ['83-54=29'] Exploring Operation: 29-17=12, Resulting Numbers: [12] 12,41 equal: Goal Reached Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[83, 54, 29, 17], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [54, 17, 54] Generated Node #0,0: 41:[54, 17, 54] Operation: 83-29=54 Exploring Operation: 83-54=29, Resulting Numbers: [29, 17, 29] Generated Node #0,1: 41:[29, 17, 29] Operation: 83-54=29 Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[29, 17, 29], Operations: ['83-54=29'] Exploring Operation: 29+17=46, Resulting Numbers: [29, 46] Generated Node #0,1,0: 41:[29, 46] Operation: 29+17=46 Exploring Operation: 17+29=46, Resulting Numbers: [29, 46] Generated Node #0,1,1: 41:[29, 46] Operation: 17+29=46 Moving to Node #0,1,0 Current State: 41:[29, 46], Operations: ['83-54=29', '29+17=46'] Exploring Operation: 46-29=17, Resulting Numbers: [17] 17,41 unequal: No Solution Exploring Operation: 29+46=75, Resulting Numbers: [75] 75,41 unequal: No Solution Moving to Node #0,1,1 Current State: 41:[29, 46], Operations: ['83-54=29', '17+29=46'] Exploring Operation: 46-29=17, Resulting Numbers: [17] 17,41 unequal: No Solution Exploring Operation: 29+46=75, Resulting Numbers: [75] 75,41 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 #0,0 Current State: 41:[54, 17, 54], Operations: ['83-29=54'] Exploring Operation: 54-17=37, Resulting Numbers: [54, 37] Generated Node #0,0,0: 41:[54, 37] Operation: 54-17=37 Exploring Operation: 54-17=37, Resulting Numbers: [54, 37] Generated Node #0,0,1: 41:[54, 37] Operation: 54-17=37 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[54, 37], Operations: ['83-29=54', '54-17=37'] Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,41 unequal: No Solution Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,41 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 #0,0,1 Current State: 41:[54, 37], Operations: ['83-29=54', '54-17=37'] Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,41 unequal: No Solution Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,41 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_2
mult_heuristic
[ 56, 3, 10, 1 ]
92
[ "56-10=46", "3-1=2", "46*2=92" ]
Current State: 92:[56, 3, 10, 1], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [3, 1, 46] Generated Node #2: [3, 1, 46] from Operation: 56-10=46 Current State: 92:[3, 1, 46], Operations: ['56-10=46'] Exploring Operation: 3-1=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 3-1=2 Current State: 92:[46, 2], Operations: ['56-10=46', '3-1=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[56, 3, 10, 1], Operations: [] Exploring Operation: 56-1=55, Resulting Numbers: [3, 10, 55] Generated Node #0,0: 92:[3, 10, 55] Operation: 56-1=55 Exploring Operation: 10-3=7, Resulting Numbers: [56, 1, 7] Generated Node #0,1: 92:[56, 1, 7] Operation: 10-3=7 Exploring Operation: 56-10=46, Resulting Numbers: [3, 1, 46] Generated Node #0,2: 92:[3, 1, 46] Operation: 56-10=46 Exploring Operation: 56-3=53, Resulting Numbers: [10, 1, 53] Generated Node #0,3: 92:[10, 1, 53] Operation: 56-3=53 Moving to Node #0,2 Current State: 92:[3, 1, 46], Operations: ['56-10=46'] Exploring Operation: 3*1=3, Resulting Numbers: [46, 3] Generated Node #0,2,0: 92:[46, 3] Operation: 3*1=3 Exploring Operation: 3+1=4, Resulting Numbers: [46, 4] Generated Node #0,2,1: 92:[46, 4] Operation: 3+1=4 Exploring Operation: 3-1=2, Resulting Numbers: [46, 2] Generated Node #0,2,2: 92:[46, 2] Operation: 3-1=2 Exploring Operation: 3/1=3, Resulting Numbers: [46, 3] Generated Node #0,2,3: 92:[46, 3] Operation: 3/1=3 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 92:[46, 4], Operations: ['56-10=46', '3+1=4'] Exploring Operation: 46*4=184, Resulting Numbers: [184] 184,92 unequal: No Solution Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,92 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 92:[46, 2], Operations: ['56-10=46', '3-1=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,92 unequal: No Solution Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[56, 3, 10, 1], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [3, 1, 46] Generated Node #0,2: 92:[3, 1, 46] Operation: 56-10=46 Moving to Node #0,2 Current State: 92:[3, 1, 46], Operations: ['56-10=46'] Exploring Operation: 3-1=2, Resulting Numbers: [46, 2] Generated Node #0,2,2: 92:[46, 2] Operation: 3-1=2 Moving to Node #0,2,2 Current State: 92:[46, 2], Operations: ['56-10=46', '3-1=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
sum_heuristic
[ 73, 22, 46, 37 ]
60
[ "73-22=51", "46-37=9", "51+9=60" ]
Current State: 60:[73, 22, 46, 37], Operations: [] Exploring Operation: 73-22=51, Resulting Numbers: [46, 37, 51] Generated Node #2: [46, 37, 51] from Operation: 73-22=51 Current State: 60:[46, 37, 51], Operations: ['73-22=51'] Exploring Operation: 46-37=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 46-37=9 Current State: 60:[51, 9], Operations: ['73-22=51', '46-37=9'] Exploring Operation: 51+9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[73, 22, 46, 37], Operations: [] Exploring Operation: 73-46=27, Resulting Numbers: [22, 37, 27] Generated Node #0,0: 60:[22, 37, 27] Operation: 73-46=27 Exploring Operation: 46-37=9, Resulting Numbers: [73, 22, 9] Generated Node #0,1: 60:[73, 22, 9] Operation: 46-37=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[22, 37, 27], Operations: ['73-46=27'] Exploring Operation: 37-22=15, Resulting Numbers: [27, 15] Generated Node #0,0,0: 60:[27, 15] Operation: 37-22=15 Exploring Operation: 37-27=10, Resulting Numbers: [22, 10] Generated Node #0,0,1: 60:[22, 10] Operation: 37-27=10 Moving to Node #0,0,1 Current State: 60:[22, 10], Operations: ['73-46=27', '37-27=10'] Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,60 unequal: No Solution Exploring Operation: 22+10=32, Resulting Numbers: [32] 32,60 unequal: No Solution Moving to Node #0,0,0 Current State: 60:[27, 15], Operations: ['73-46=27', '37-22=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,60 unequal: No Solution Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,60 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:[73, 22, 9], Operations: ['46-37=9'] Exploring Operation: 73-22=51, Resulting Numbers: [9, 51] Generated Node #0,1,0: 60:[9, 51] Operation: 73-22=51 Exploring Operation: 73-9=64, Resulting Numbers: [22, 64] Generated Node #0,1,1: 60:[22, 64] Operation: 73-9=64 Moving to Node #0,1,1 Current State: 60:[22, 64], Operations: ['46-37=9', '73-9=64'] Exploring Operation: 64-22=42, Resulting Numbers: [42] 42,60 unequal: No Solution Exploring Operation: 22+64=86, Resulting Numbers: [86] 86,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[9, 51], Operations: ['46-37=9', '73-22=51'] Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,60 unequal: No Solution Exploring Operation: 9+51=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[73, 22, 46, 37], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [73, 22, 9] Generated Node #0,1: 60:[73, 22, 9] Operation: 46-37=9 Moving to Node #0,1 Current State: 60:[73, 22, 9], Operations: ['46-37=9'] Exploring Operation: 73-22=51, Resulting Numbers: [9, 51] Generated Node #0,1,0: 60:[9, 51] Operation: 73-22=51 Moving to Node #0,1,0 Current State: 60:[9, 51], Operations: ['46-37=9', '73-22=51'] Exploring Operation: 9+51=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_2
mult_heuristic
[ 64, 30, 58, 17 ]
78
[ "64-58=6", "30-17=13", "6*13=78" ]
Current State: 78:[64, 30, 58, 17], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [30, 17, 6] Generated Node #2: [30, 17, 6] from Operation: 64-58=6 Current State: 78:[30, 17, 6], Operations: ['64-58=6'] Exploring Operation: 30-17=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 30-17=13 Current State: 78:[6, 13], Operations: ['64-58=6', '30-17=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[64, 30, 58, 17], Operations: [] Exploring Operation: 58-17=41, Resulting Numbers: [64, 30, 41] Generated Node #0,0: 78:[64, 30, 41] Operation: 58-17=41 Exploring Operation: 64-58=6, Resulting Numbers: [30, 17, 6] Generated Node #0,1: 78:[30, 17, 6] Operation: 64-58=6 Exploring Operation: 58+17=75, Resulting Numbers: [64, 30, 75] Generated Node #0,2: 78:[64, 30, 75] Operation: 58+17=75 Exploring Operation: 64+17=81, Resulting Numbers: [30, 58, 81] Generated Node #0,3: 78:[30, 58, 81] Operation: 64+17=81 Exploring Operation: 58-30=28, Resulting Numbers: [64, 17, 28] Generated Node #0,4: 78:[64, 17, 28] Operation: 58-30=28 Start Sub Search at level 1: Moving to Node #0,1 Current State: 78:[30, 17, 6], Operations: ['64-58=6'] Exploring Operation: 30-17=13, Resulting Numbers: [6, 13] Generated Node #0,1,0: 78:[6, 13] Operation: 30-17=13 Exploring Operation: 30+6=36, Resulting Numbers: [17, 36] Generated Node #0,1,1: 78:[17, 36] Operation: 30+6=36 Exploring Operation: 17-6=11, Resulting Numbers: [30, 11] Generated Node #0,1,2: 78:[30, 11] Operation: 17-6=11 Exploring Operation: 30/6=5, Resulting Numbers: [17, 5] Generated Node #0,1,3: 78:[17, 5] Operation: 30/6=5 Exploring Operation: 30-6=24, Resulting Numbers: [17, 24] Generated Node #0,1,4: 78:[17, 24] Operation: 30-6=24 Moving to Node #0,1,0 Current State: 78:[6, 13], Operations: ['64-58=6', '30-17=13'] Exploring Operation: 6+13=19, Resulting Numbers: [19] 19,78 unequal: No Solution Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[64, 30, 58, 17], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [30, 17, 6] Generated Node #0,1: 78:[30, 17, 6] Operation: 64-58=6 Moving to Node #0,1 Current State: 78:[30, 17, 6], Operations: ['64-58=6'] Exploring Operation: 30-17=13, Resulting Numbers: [6, 13] Generated Node #0,1,0: 78:[6, 13] Operation: 30-17=13 Moving to Node #0,1,0 Current State: 78:[6, 13], Operations: ['64-58=6', '30-17=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 77, 3, 93, 38 ]
66
[ "93-77=16", "38-16=22", "3*22=66" ]
Current State: 66:[77, 3, 93, 38], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [3, 38, 16] Generated Node #2: [3, 38, 16] from Operation: 93-77=16 Current State: 66:[3, 38, 16], Operations: ['93-77=16'] Exploring Operation: 38-16=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 38-16=22 Current State: 66:[3, 22], Operations: ['93-77=16', '38-16=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[77, 3, 93, 38], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [77, 3, 55] Generated Node #0,0: 66:[77, 3, 55] Operation: 93-38=55 Exploring Operation: 93/3=31, Resulting Numbers: [77, 38, 31] Generated Node #0,1: 66:[77, 38, 31] Operation: 93/3=31 Exploring Operation: 93-77=16, Resulting Numbers: [3, 38, 16] Generated Node #0,2: 66:[3, 38, 16] Operation: 93-77=16 Exploring Operation: 77-38=39, Resulting Numbers: [3, 93, 39] Generated Node #0,3: 66:[3, 93, 39] Operation: 77-38=39 Moving to Node #0,2 Current State: 66:[3, 38, 16], Operations: ['93-77=16'] Exploring Operation: 16-3=13, Resulting Numbers: [38, 13] Generated Node #0,2,0: 66:[38, 13] Operation: 16-3=13 Exploring Operation: 3+16=19, Resulting Numbers: [38, 19] Generated Node #0,2,1: 66:[38, 19] Operation: 3+16=19 Exploring Operation: 38-3=35, Resulting Numbers: [16, 35] Generated Node #0,2,2: 66:[16, 35] Operation: 38-3=35 Exploring Operation: 38-16=22, Resulting Numbers: [3, 22] Generated Node #0,2,3: 66:[3, 22] Operation: 38-16=22 Moving to Node #0,1 Current State: 66:[77, 38, 31], Operations: ['93/3=31'] Exploring Operation: 38-31=7, Resulting Numbers: [77, 7] Generated Node #0,1,0: 66:[77, 7] Operation: 38-31=7 Exploring Operation: 77-38=39, Resulting Numbers: [31, 39] Generated Node #0,1,1: 66:[31, 39] Operation: 77-38=39 Exploring Operation: 38+31=69, Resulting Numbers: [77, 69] Generated Node #0,1,2: 66:[77, 69] Operation: 38+31=69 Exploring Operation: 77-31=46, Resulting Numbers: [38, 46] Generated Node #0,1,3: 66:[38, 46] Operation: 77-31=46 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 66:[31, 39], Operations: ['93/3=31', '77-38=39'] Exploring Operation: 39-31=8, Resulting Numbers: [8] 8,66 unequal: No Solution Exploring Operation: 31*39=1209, Resulting Numbers: [1209] 1209,66 unequal: No Solution Exploring Operation: 31+39=70, Resulting Numbers: [70] 70,66 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:[77, 7], Operations: ['93/3=31', '38-31=7'] Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,66 unequal: No Solution Exploring Operation: 77*7=539, Resulting Numbers: [539] 539,66 unequal: No Solution Exploring Operation: 77+7=84, Resulting Numbers: [84] 84,66 unequal: No Solution Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,66 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 #0,1,2 Current State: 66:[77, 69], Operations: ['93/3=31', '38+31=69'] Exploring Operation: 77-69=8, Resulting Numbers: [8] 8,66 unequal: No Solution Exploring Operation: 77+69=146, Resulting Numbers: [146] 146,66 unequal: No Solution Exploring Operation: 77*69=5313, Resulting Numbers: [5313] 5313,66 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 #0,1,3 Current State: 66:[38, 46], Operations: ['93/3=31', '77-31=46'] Exploring Operation: 38*46=1748, Resulting Numbers: [1748] 1748,66 unequal: No Solution Exploring Operation: 38+46=84, Resulting Numbers: [84] 84,66 unequal: No Solution Exploring Operation: 46-38=8, Resulting Numbers: [8] 8,66 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: 66:[77, 3, 55], Operations: ['93-38=55'] Exploring Operation: 3+55=58, Resulting Numbers: [77, 58] Generated Node #0,0,0: 66:[77, 58] Operation: 3+55=58 Exploring Operation: 77-3=74, Resulting Numbers: [55, 74] Generated Node #0,0,1: 66:[55, 74] Operation: 77-3=74 Exploring Operation: 77-55=22, Resulting Numbers: [3, 22] Generated Node #0,0,2: 66:[3, 22] Operation: 77-55=22 Exploring Operation: 77+3=80, Resulting Numbers: [55, 80] Generated Node #0,0,3: 66:[55, 80] Operation: 77+3=80 Moving to Node #0,3 Current State: 66:[3, 93, 39], Operations: ['77-38=39'] Exploring Operation: 93-39=54, Resulting Numbers: [3, 54] Generated Node #0,3,0: 66:[3, 54] Operation: 93-39=54 Exploring Operation: 39/3=13, Resulting Numbers: [93, 13] Generated Node #0,3,1: 66:[93, 13] Operation: 39/3=13 Exploring Operation: 93/3=31, Resulting Numbers: [39, 31] Generated Node #0,3,2: 66:[39, 31] Operation: 93/3=31 Exploring Operation: 93-3=90, Resulting Numbers: [39, 90] Generated Node #0,3,3: 66:[39, 90] Operation: 93-3=90 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 66:[39, 31], Operations: ['77-38=39', '93/3=31'] Exploring Operation: 39+31=70, Resulting Numbers: [70] 70,66 unequal: No Solution Exploring Operation: 39-31=8, Resulting Numbers: [8] 8,66 unequal: No Solution Exploring Operation: 39*31=1209, Resulting Numbers: [1209] 1209,66 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 #0,3,0 Current State: 66:[3, 54], Operations: ['77-38=39', '93-39=54'] Exploring Operation: 3*54=162, Resulting Numbers: [162] 162,66 unequal: No Solution Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,66 unequal: No Solution Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,66 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,66 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 #0,3,1 Current State: 66:[93, 13], Operations: ['77-38=39', '39/3=13'] Exploring Operation: 93+13=106, Resulting Numbers: [106] 106,66 unequal: No Solution Exploring Operation: 93-13=80, Resulting Numbers: [80] 80,66 unequal: No Solution Exploring Operation: 93*13=1209, Resulting Numbers: [1209] 1209,66 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 #0,3,3 Current State: 66:[39, 90], Operations: ['77-38=39', '93-3=90'] Exploring Operation: 90-39=51, Resulting Numbers: [51] 51,66 unequal: No Solution Exploring Operation: 39*90=3510, Resulting Numbers: [3510] 3510,66 unequal: No Solution Exploring Operation: 39+90=129, Resulting Numbers: [129] 129,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,3 Current State: 66:[3, 22], Operations: ['93-77=16', '38-16=22'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,66 unequal: No Solution Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[77, 3, 93, 38], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [3, 38, 16] Generated Node #0,2: 66:[3, 38, 16] Operation: 93-77=16 Moving to Node #0,2 Current State: 66:[3, 38, 16], Operations: ['93-77=16'] Exploring Operation: 38-16=22, Resulting Numbers: [3, 22] Generated Node #0,2,3: 66:[3, 22] Operation: 38-16=22 Moving to Node #0,2,3 Current State: 66:[3, 22], Operations: ['93-77=16', '38-16=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
0.954861
hs_4
mult_heuristic
[ 3, 73, 37, 50 ]
62
[ "73-37=36", "36/3=12", "50+12=62" ]
Current State: 62:[3, 73, 37, 50], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [3, 50, 36] Generated Node #2: [3, 50, 36] from Operation: 73-37=36 Current State: 62:[3, 50, 36], Operations: ['73-37=36'] Exploring Operation: 36/3=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 36/3=12 Current State: 62:[50, 12], Operations: ['73-37=36', '36/3=12'] Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[3, 73, 37, 50], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [3, 50, 36] Generated Node #0,0: 62:[3, 50, 36] Operation: 73-37=36 Exploring Operation: 73-50=23, Resulting Numbers: [3, 37, 23] Generated Node #0,1: 62:[3, 37, 23] Operation: 73-50=23 Start Sub Search at level 1: Moving to Node #0,1 Current State: 62:[3, 37, 23], Operations: ['73-50=23'] Exploring Operation: 37+23=60, Resulting Numbers: [3, 60] Generated Node #0,1,0: 62:[3, 60] Operation: 37+23=60 Exploring Operation: 37-3=34, Resulting Numbers: [23, 34] Generated Node #0,1,1: 62:[23, 34] Operation: 37-3=34 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 62:[3, 60], Operations: ['73-50=23', '37+23=60'] Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,62 unequal: No Solution Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,62 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: 62:[23, 34], Operations: ['73-50=23', '37-3=34'] Exploring Operation: 23+34=57, Resulting Numbers: [57] 57,62 unequal: No Solution Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,62 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: 62:[3, 50, 36], Operations: ['73-37=36'] Exploring Operation: 3+50=53, Resulting Numbers: [36, 53] Generated Node #0,0,0: 62:[36, 53] Operation: 3+50=53 Exploring Operation: 50-36=14, Resulting Numbers: [3, 14] Generated Node #0,0,1: 62:[3, 14] Operation: 50-36=14 Moving to Node #0,0,1 Current State: 62:[3, 14], Operations: ['73-37=36', '50-36=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,62 unequal: No Solution Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,62 unequal: No Solution Moving to Node #0,0,0 Current State: 62:[36, 53], Operations: ['73-37=36', '3+50=53'] Exploring Operation: 53-36=17, Resulting Numbers: [17] 17,62 unequal: No Solution Exploring Operation: 36+53=89, Resulting Numbers: [89] 89,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 27, 69, 39, 72 ]
24
[ "69-27=42", "42-39=3", "72/3=24" ]
Current State: 24:[27, 69, 39, 72], Operations: [] Exploring Operation: 69-27=42, Resulting Numbers: [39, 72, 42] Generated Node #2: [39, 72, 42] from Operation: 69-27=42 Current State: 24:[39, 72, 42], Operations: ['69-27=42'] Exploring Operation: 42-39=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 42-39=3 Current State: 24:[72, 3], Operations: ['69-27=42', '42-39=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[27, 69, 39, 72], Operations: [] Exploring Operation: 72-39=33, Resulting Numbers: [27, 69, 33] Generated Node #0,0: 24:[27, 69, 33] Operation: 72-39=33 Exploring Operation: 69-39=30, Resulting Numbers: [27, 72, 30] Generated Node #0,1: 24:[27, 72, 30] Operation: 69-39=30 Exploring Operation: 69-27=42, Resulting Numbers: [39, 72, 42] Generated Node #0,2: 24:[39, 72, 42] Operation: 69-27=42 Exploring Operation: 72-69=3, Resulting Numbers: [27, 39, 3] Generated Node #0,3: 24:[27, 39, 3] Operation: 72-69=3 Start Sub Search at level 1: Moving to Node #0,3 Current State: 24:[27, 39, 3], Operations: ['72-69=3'] Exploring Operation: 27-3=24, Resulting Numbers: [39, 24] Generated Node #0,3,0: 24:[39, 24] Operation: 27-3=24 Exploring Operation: 39-3=36, Resulting Numbers: [27, 36] Generated Node #0,3,1: 24:[27, 36] Operation: 39-3=36 Exploring Operation: 39/3=13, Resulting Numbers: [27, 13] Generated Node #0,3,2: 24:[27, 13] Operation: 39/3=13 Exploring Operation: 39-27=12, Resulting Numbers: [3, 12] Generated Node #0,3,3: 24:[3, 12] Operation: 39-27=12 Moving to Node #0,3,3 Current State: 24:[3, 12], Operations: ['72-69=3', '39-27=12'] Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,24 unequal: No Solution Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,24 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,24 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,24 unequal: No Solution Moving to Node #0,3,2 Current State: 24:[27, 13], Operations: ['72-69=3', '39/3=13'] Exploring Operation: 27*13=351, Resulting Numbers: [351] 351,24 unequal: No Solution Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,24 unequal: No Solution Exploring Operation: 27+13=40, Resulting Numbers: [40] 40,24 unequal: No Solution Moving to Node #0,3,1 Current State: 24:[27, 36], Operations: ['72-69=3', '39-3=36'] Exploring Operation: 36-27=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 27*36=972, Resulting Numbers: [972] 972,24 unequal: No Solution Exploring Operation: 27+36=63, Resulting Numbers: [63] 63,24 unequal: No Solution Moving to Node #0,3,0 Current State: 24:[39, 24], Operations: ['72-69=3', '27-3=24'] Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,24 unequal: No Solution Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,24 unequal: No Solution Exploring Operation: 39*24=936, Resulting Numbers: [936] 936,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[27, 69, 33], Operations: ['72-39=33'] Exploring Operation: 33-27=6, Resulting Numbers: [69, 6] Generated Node #0,0,0: 24:[69, 6] Operation: 33-27=6 Exploring Operation: 27+69=96, Resulting Numbers: [33, 96] Generated Node #0,0,1: 24:[33, 96] Operation: 27+69=96 Exploring Operation: 69-27=42, Resulting Numbers: [33, 42] Generated Node #0,0,2: 24:[33, 42] Operation: 69-27=42 Exploring Operation: 69-33=36, Resulting Numbers: [27, 36] Generated Node #0,0,3: 24:[27, 36] Operation: 69-33=36 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 24:[27, 36], Operations: ['72-39=33', '69-33=36'] Exploring Operation: 27+36=63, Resulting Numbers: [63] 63,24 unequal: No Solution Exploring Operation: 36-27=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 27*36=972, Resulting Numbers: [972] 972,24 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: 24:[33, 42], Operations: ['72-39=33', '69-27=42'] Exploring Operation: 33*42=1386, Resulting Numbers: [1386] 1386,24 unequal: No Solution Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,24 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: 24:[69, 6], Operations: ['72-39=33', '33-27=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,24 unequal: No Solution Exploring Operation: 69*6=414, Resulting Numbers: [414] 414,24 unequal: No Solution Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,24 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: 24:[33, 96], Operations: ['72-39=33', '27+69=96'] Exploring Operation: 33*96=3168, Resulting Numbers: [3168] 3168,24 unequal: No Solution Exploring Operation: 96-33=63, Resulting Numbers: [63] 63,24 unequal: No Solution Exploring Operation: 33+96=129, Resulting Numbers: [129] 129,24 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: 24:[27, 72, 30], Operations: ['69-39=30'] Exploring Operation: 72-30=42, Resulting Numbers: [27, 42] Generated Node #0,1,0: 24:[27, 42] Operation: 72-30=42 Exploring Operation: 27+72=99, Resulting Numbers: [30, 99] Generated Node #0,1,1: 24:[30, 99] Operation: 27+72=99 Exploring Operation: 72-27=45, Resulting Numbers: [30, 45] Generated Node #0,1,2: 24:[30, 45] Operation: 72-27=45 Exploring Operation: 30-27=3, Resulting Numbers: [72, 3] Generated Node #0,1,3: 24:[72, 3] Operation: 30-27=3 Moving to Node #0,1,0 Current State: 24:[27, 42], Operations: ['69-39=30', '72-30=42'] Exploring Operation: 27*42=1134, Resulting Numbers: [1134] 1134,24 unequal: No Solution Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,24 unequal: No Solution Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,24 unequal: No Solution Moving to Node #0,1,2 Current State: 24:[30, 45], Operations: ['69-39=30', '72-27=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,24 unequal: No Solution Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,24 unequal: No Solution Exploring Operation: 30*45=1350, Resulting Numbers: [1350] 1350,24 unequal: No Solution Moving to Node #0,1,3 Current State: 24:[72, 3], Operations: ['69-39=30', '30-27=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,24 unequal: No Solution Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[27, 69, 39, 72], Operations: [] Exploring Operation: 69-39=30, Resulting Numbers: [27, 72, 30] Generated Node #0,1: 24:[27, 72, 30] Operation: 69-39=30 Moving to Node #0,1 Current State: 24:[27, 72, 30], Operations: ['69-39=30'] Exploring Operation: 30-27=3, Resulting Numbers: [72, 3] Generated Node #0,1,3: 24:[72, 3] Operation: 30-27=3 Moving to Node #0,1,3 Current State: 24:[72, 3], Operations: ['69-39=30', '30-27=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1
0.953993
hs_4
mult_heuristic
[ 13, 10, 73, 78 ]
26
[ "13*10=130", "78-73=5", "130/5=26" ]
Current State: 26:[13, 10, 73, 78], Operations: [] Exploring Operation: 13*10=130, Resulting Numbers: [73, 78, 130] Generated Node #2: [73, 78, 130] from Operation: 13*10=130 Current State: 26:[73, 78, 130], Operations: ['13*10=130'] Exploring Operation: 78-73=5, Resulting Numbers: [130, 5] Generated Node #3: [130, 5] from Operation: 78-73=5 Current State: 26:[130, 5], Operations: ['13*10=130', '78-73=5'] Exploring Operation: 130/5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[13, 10, 73, 78], Operations: [] Exploring Operation: 78-13=65, Resulting Numbers: [10, 73, 65] Generated Node #0,0: 26:[10, 73, 65] Operation: 78-13=65 Exploring Operation: 73-13=60, Resulting Numbers: [10, 78, 60] Generated Node #0,1: 26:[10, 78, 60] Operation: 73-13=60 Exploring Operation: 78/13=6, Resulting Numbers: [10, 73, 6] Generated Node #0,2: 26:[10, 73, 6] Operation: 78/13=6 Exploring Operation: 78-73=5, Resulting Numbers: [13, 10, 5] Generated Node #0,3: 26:[13, 10, 5] Operation: 78-73=5 Moving to Node #0,3 Current State: 26:[13, 10, 5], Operations: ['78-73=5'] Exploring Operation: 13-10=3, Resulting Numbers: [5, 3] Generated Node #0,3,0: 26:[5, 3] Operation: 13-10=3 Exploring Operation: 10/5=2, Resulting Numbers: [13, 2] Generated Node #0,3,1: 26:[13, 2] Operation: 10/5=2 Exploring Operation: 10+5=15, Resulting Numbers: [13, 15] Generated Node #0,3,2: 26:[13, 15] Operation: 10+5=15 Exploring Operation: 10-5=5, Resulting Numbers: [13, 5] Generated Node #0,3,3: 26:[13, 5] Operation: 10-5=5 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 26:[13, 2], Operations: ['78-73=5', '10/5=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,26 unequal: No Solution Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Moving to Node #0 Current State: 26:[13, 10, 73, 78], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [13, 10, 5] Generated Node #0,3: 26:[13, 10, 5] Operation: 78-73=5 Moving to Node #0,3 Current State: 26:[13, 10, 5], Operations: ['78-73=5'] Exploring Operation: 10/5=2, Resulting Numbers: [13, 2] Generated Node #0,3,1: 26:[13, 2] Operation: 10/5=2 Moving to Node #0,3,1 Current State: 26:[13, 2], Operations: ['78-73=5', '10/5=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_4
sum_heuristic
[ 48, 10, 3, 44 ]
74
[ "48+10=58", "3*44=132", "132-58=74" ]
Current State: 74:[48, 10, 3, 44], Operations: [] Exploring Operation: 48+10=58, Resulting Numbers: [3, 44, 58] Generated Node #2: [3, 44, 58] from Operation: 48+10=58 Current State: 74:[3, 44, 58], Operations: ['48+10=58'] Exploring Operation: 3*44=132, Resulting Numbers: [58, 132] Generated Node #3: [58, 132] from Operation: 3*44=132 Current State: 74:[58, 132], Operations: ['48+10=58', '3*44=132'] Exploring Operation: 132-58=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[48, 10, 3, 44], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [10, 3, 4] Generated Node #0,0: 74:[10, 3, 4] Operation: 48-44=4 Exploring Operation: 48-10=38, Resulting Numbers: [3, 44, 38] Generated Node #0,1: 74:[3, 44, 38] Operation: 48-10=38 Exploring Operation: 44-10=34, Resulting Numbers: [48, 3, 34] Generated Node #0,2: 74:[48, 3, 34] Operation: 44-10=34 Exploring Operation: 48-3=45, Resulting Numbers: [10, 44, 45] Generated Node #0,3: 74:[10, 44, 45] Operation: 48-3=45 Start Sub Search at level 1: Moving to Node #0,1 Current State: 74:[3, 44, 38], Operations: ['48-10=38'] Exploring Operation: 38-3=35, Resulting Numbers: [44, 35] Generated Node #0,1,0: 74:[44, 35] Operation: 38-3=35 Exploring Operation: 44-3=41, Resulting Numbers: [38, 41] Generated Node #0,1,1: 74:[38, 41] Operation: 44-3=41 Exploring Operation: 44+38=82, Resulting Numbers: [3, 82] Generated Node #0,1,2: 74:[3, 82] Operation: 44+38=82 Exploring Operation: 44-38=6, Resulting Numbers: [3, 6] Generated Node #0,1,3: 74:[3, 6] Operation: 44-38=6 Moving to Node #0,1,1 Current State: 74:[38, 41], Operations: ['48-10=38', '44-3=41'] Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,74 unequal: No Solution Exploring Operation: 38*41=1558, Resulting Numbers: [1558] 1558,74 unequal: No Solution Exploring Operation: 38+41=79, Resulting Numbers: [79] 79,74 unequal: No Solution Moving to Node #0,1,3 Current State: 74:[3, 6], Operations: ['48-10=38', '44-38=6'] Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,74 unequal: No Solution Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,74 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,74 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,74 unequal: No Solution Moving to Node #0,1,2 Current State: 74:[3, 82], Operations: ['48-10=38', '44+38=82'] Exploring Operation: 3+82=85, Resulting Numbers: [85] 85,74 unequal: No Solution Exploring Operation: 3*82=246, Resulting Numbers: [246] 246,74 unequal: No Solution Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,74 unequal: No Solution Moving to Node #0,1,0 Current State: 74:[44, 35], Operations: ['48-10=38', '38-3=35'] Exploring Operation: 44+35=79, Resulting Numbers: [79] 79,74 unequal: No Solution Exploring Operation: 44*35=1540, Resulting Numbers: [1540] 1540,74 unequal: No Solution Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,74 unequal: No Solution No 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: 74:[10, 3, 4], Operations: ['48-44=4'] Exploring Operation: 10*3=30, Resulting Numbers: [4, 30] Generated Node #0,0,0: 74:[4, 30] Operation: 10*3=30 Exploring Operation: 10*4=40, Resulting Numbers: [3, 40] Generated Node #0,0,1: 74:[3, 40] Operation: 10*4=40 Exploring Operation: 10-3=7, Resulting Numbers: [4, 7] Generated Node #0,0,2: 74:[4, 7] Operation: 10-3=7 Exploring Operation: 10-4=6, Resulting Numbers: [3, 6] Generated Node #0,0,3: 74:[3, 6] Operation: 10-4=6 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 74:[3, 40], Operations: ['48-44=4', '10*4=40'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,74 unequal: No Solution Exploring Operation: 3*40=120, Resulting Numbers: [120] 120,74 unequal: No Solution Exploring Operation: 3+40=43, Resulting Numbers: [43] 43,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 74:[3, 6], Operations: ['48-44=4', '10-4=6'] Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,74 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,74 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,74 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 74:[4, 7], Operations: ['48-44=4', '10-3=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,74 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 74:[4, 30], Operations: ['48-44=4', '10*3=30'] Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,74 unequal: No Solution Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,74 unequal: No Solution Exploring Operation: 4*30=120, Resulting Numbers: [120] 120,74 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: 74:[48, 3, 34], Operations: ['44-10=34'] Exploring Operation: 48-3=45, Resulting Numbers: [34, 45] Generated Node #0,2,0: 74:[34, 45] Operation: 48-3=45 Exploring Operation: 48+34=82, Resulting Numbers: [3, 82] Generated Node #0,2,1: 74:[3, 82] Operation: 48+34=82 Exploring Operation: 3+34=37, Resulting Numbers: [48, 37] Generated Node #0,2,2: 74:[48, 37] Operation: 3+34=37 Exploring Operation: 48-34=14, Resulting Numbers: [3, 14] Generated Node #0,2,3: 74:[3, 14] Operation: 48-34=14 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 74:[3, 82], Operations: ['44-10=34', '48+34=82'] Exploring Operation: 3+82=85, Resulting Numbers: [85] 85,74 unequal: No Solution Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,74 unequal: No Solution Exploring Operation: 3*82=246, Resulting Numbers: [246] 246,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 74:[34, 45], Operations: ['44-10=34', '48-3=45'] Exploring Operation: 34*45=1530, Resulting Numbers: [1530] 1530,74 unequal: No Solution Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,74 unequal: No Solution Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 74:[48, 37], Operations: ['44-10=34', '3+34=37'] Exploring Operation: 48-37=11, Resulting Numbers: [11] 11,74 unequal: No Solution Exploring Operation: 48+37=85, Resulting Numbers: [85] 85,74 unequal: No Solution Exploring Operation: 48*37=1776, Resulting Numbers: [1776] 1776,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 74:[3, 14], Operations: ['44-10=34', '48-34=14'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,74 unequal: No Solution Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,74 unequal: No Solution Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,74 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: 74:[10, 44, 45], Operations: ['48-3=45'] Exploring Operation: 44+45=89, Resulting Numbers: [10, 89] Generated Node #0,3,0: 74:[10, 89] Operation: 44+45=89 Exploring Operation: 45-44=1, Resulting Numbers: [10, 1] Generated Node #0,3,1: 74:[10, 1] Operation: 45-44=1 Exploring Operation: 44-10=34, Resulting Numbers: [45, 34] Generated Node #0,3,2: 74:[45, 34] Operation: 44-10=34 Exploring Operation: 45-10=35, Resulting Numbers: [44, 35] Generated Node #0,3,3: 74:[44, 35] Operation: 45-10=35 Moving to Node #0,3,1 Current State: 74:[10, 1], Operations: ['48-3=45', '45-44=1'] Exploring Operation: 10-1=9, Resulting Numbers: [9] 9,74 unequal: No Solution Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,74 unequal: No Solution Exploring Operation: 10*1=10, Resulting Numbers: [10] 10,74 unequal: No Solution Exploring Operation: 10/1=10, Resulting Numbers: [10] 10,74 unequal: No Solution Moving to Node #0,3,3 Current State: 74:[44, 35], Operations: ['48-3=45', '45-10=35'] Exploring Operation: 44*35=1540, Resulting Numbers: [1540] 1540,74 unequal: No Solution Exploring Operation: 44+35=79, Resulting Numbers: [79] 79,74 unequal: No Solution Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,74 unequal: No Solution Moving to Node #0,3,2 Current State: 74:[45, 34], Operations: ['48-3=45', '44-10=34'] Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,74 unequal: No Solution Exploring Operation: 45*34=1530, Resulting Numbers: [1530] 1530,74 unequal: No Solution Exploring Operation: 45+34=79, Resulting Numbers: [79] 79,74 unequal: No Solution Moving to Node #0,3,0 Current State: 74:[10, 89], Operations: ['48-3=45', '44+45=89'] Exploring Operation: 89-10=79, Resulting Numbers: [79] 79,74 unequal: No Solution Exploring Operation: 10+89=99, Resulting Numbers: [99] 99,74 unequal: No Solution Exploring Operation: 10*89=890, Resulting Numbers: [890] 890,74 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
[ 82, 78, 1, 37 ]
41
[ "82-78=4", "1*37=37", "4+37=41" ]
Current State: 41:[82, 78, 1, 37], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [1, 37, 4] Generated Node #2: [1, 37, 4] from Operation: 82-78=4 Current State: 41:[1, 37, 4], Operations: ['82-78=4'] Exploring Operation: 1*37=37, Resulting Numbers: [4, 37] Generated Node #3: [4, 37] from Operation: 1*37=37 Current State: 41:[4, 37], Operations: ['82-78=4', '1*37=37'] Exploring Operation: 4+37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[82, 78, 1, 37], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [1, 37, 4] Generated Node #0,0: 41:[1, 37, 4] Operation: 82-78=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[1, 37, 4], Operations: ['82-78=4'] Exploring Operation: 1+37=38, Resulting Numbers: [4, 38] Generated Node #0,0,0: 41:[4, 38] Operation: 1+37=38 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[4, 38], Operations: ['82-78=4', '1+37=38'] Exploring Operation: 4+38=42, Resulting Numbers: [42] 42,41 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_1
sum_heuristic
[ 67, 35, 56, 5 ]
90
[ "67-56=11", "5*11=55", "35+55=90" ]
Current State: 90:[67, 35, 56, 5], Operations: [] Exploring Operation: 67-56=11, Resulting Numbers: [35, 5, 11] Generated Node #2: [35, 5, 11] from Operation: 67-56=11 Current State: 90:[35, 5, 11], Operations: ['67-56=11'] Exploring Operation: 5*11=55, Resulting Numbers: [35, 55] Generated Node #3: [35, 55] from Operation: 5*11=55 Current State: 90:[35, 55], Operations: ['67-56=11', '5*11=55'] Exploring Operation: 35+55=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[67, 35, 56, 5], Operations: [] Exploring Operation: 67-35=32, Resulting Numbers: [56, 5, 32] Generated Node #0,0: 90:[56, 5, 32] Operation: 67-35=32 Exploring Operation: 67-56=11, Resulting Numbers: [35, 5, 11] Generated Node #0,1: 90:[35, 5, 11] Operation: 67-56=11 Moving to Node #0,1 Current State: 90:[35, 5, 11], Operations: ['67-56=11'] Exploring Operation: 35-5=30, Resulting Numbers: [11, 30] Generated Node #0,1,0: 90:[11, 30] Operation: 35-5=30 Exploring Operation: 35+11=46, Resulting Numbers: [5, 46] Generated Node #0,1,1: 90:[5, 46] Operation: 35+11=46 Moving to Node #0,0 Current State: 90:[56, 5, 32], Operations: ['67-35=32'] Exploring Operation: 56-32=24, Resulting Numbers: [5, 24] Generated Node #0,0,0: 90:[5, 24] Operation: 56-32=24 Exploring Operation: 56+32=88, Resulting Numbers: [5, 88] Generated Node #0,0,1: 90:[5, 88] Operation: 56+32=88 Moving to Node #0,1,0 Current State: 90:[11, 30], Operations: ['67-56=11', '35-5=30'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,90 unequal: No Solution Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,90 unequal: No Solution Moving to Node #0,1,1 Current State: 90:[5, 46], Operations: ['67-56=11', '35+11=46'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,90 unequal: No Solution Exploring Operation: 5+46=51, Resulting Numbers: [51] 51,90 unequal: No Solution Moving to Node #0,0,1 Current State: 90:[5, 88], Operations: ['67-35=32', '56+32=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,90 unequal: No Solution Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,90 unequal: No Solution Moving to Node #0,0,0 Current State: 90:[5, 24], Operations: ['67-35=32', '56-32=24'] Exploring Operation: 5+24=29, Resulting Numbers: [29] 29,90 unequal: No Solution Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,90 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 28, 72, 28, 30 ]
46
[ "72-28=44", "30-28=2", "44+2=46" ]
Current State: 46:[28, 72, 28, 30], Operations: [] Exploring Operation: 72-28=44, Resulting Numbers: [30, 44] Generated Node #2: [30, 44] from Operation: 72-28=44 Current State: 46:[30, 44], Operations: ['72-28=44'] Exploring Operation: 30-28=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 30-28=2 Current State: 46:[44, 2], Operations: ['72-28=44', '30-28=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[28, 72, 28, 30], Operations: [] Exploring Operation: 72-28=44, Resulting Numbers: [28, 30, 44] Generated Node #0,0: 46:[28, 30, 44] Operation: 72-28=44 Exploring Operation: 72-30=42, Resulting Numbers: [28, 28, 42] Generated Node #0,1: 46:[28, 28, 42] Operation: 72-30=42 Exploring Operation: 30-28=2, Resulting Numbers: [72, 28, 2] Generated Node #0,2: 46:[72, 28, 2] Operation: 30-28=2 Exploring Operation: 72-28=44, Resulting Numbers: [28, 30, 44] Generated Node #0,3: 46:[28, 30, 44] Operation: 72-28=44 Moving to Node #0,0 Current State: 46:[28, 30, 44], Operations: ['72-28=44'] Exploring Operation: 44-30=14, Resulting Numbers: [28, 14] Generated Node #0,0,0: 46:[28, 14] Operation: 44-30=14 Exploring Operation: 44-28=16, Resulting Numbers: [30, 16] Generated Node #0,0,1: 46:[30, 16] Operation: 44-28=16 Exploring Operation: 30-28=2, Resulting Numbers: [44, 2] Generated Node #0,0,2: 46:[44, 2] Operation: 30-28=2 Exploring Operation: 28+30=58, Resulting Numbers: [44, 58] Generated Node #0,0,3: 46:[44, 58] Operation: 28+30=58 Moving to Node #0,3 Current State: 46:[28, 30, 44], Operations: ['72-28=44'] Exploring Operation: 44-30=14, Resulting Numbers: [28, 14] Generated Node #0,3,0: 46:[28, 14] Operation: 44-30=14 Exploring Operation: 28+30=58, Resulting Numbers: [44, 58] Generated Node #0,3,1: 46:[44, 58] Operation: 28+30=58 Exploring Operation: 44-28=16, Resulting Numbers: [30, 16] Generated Node #0,3,2: 46:[30, 16] Operation: 44-28=16 Exploring Operation: 30-28=2, Resulting Numbers: [44, 2] Generated Node #0,3,3: 46:[44, 2] Operation: 30-28=2 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 46:[44, 2], Operations: ['72-28=44', '30-28=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,46 unequal: No Solution Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,46 unequal: No Solution Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,46 unequal: No Solution Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[28, 72, 28, 30], Operations: [] Exploring Operation: 72-28=44, Resulting Numbers: [28, 30, 44] Generated Node #0,3: 46:[28, 30, 44] Operation: 72-28=44 Moving to Node #0,3 Current State: 46:[28, 30, 44], Operations: ['72-28=44'] Exploring Operation: 30-28=2, Resulting Numbers: [44, 2] Generated Node #0,3,3: 46:[44, 2] Operation: 30-28=2 Moving to Node #0,3,3 Current State: 46:[44, 2], Operations: ['72-28=44', '30-28=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.982639
hs_4
mult_heuristic
[ 27, 51, 2, 79 ]
50
[ "79-27=52", "51*2=102", "102-52=50" ]
Current State: 50:[27, 51, 2, 79], Operations: [] Exploring Operation: 79-27=52, Resulting Numbers: [51, 2, 52] Generated Node #2: [51, 2, 52] from Operation: 79-27=52 Current State: 50:[51, 2, 52], Operations: ['79-27=52'] Exploring Operation: 51*2=102, Resulting Numbers: [52, 102] Generated Node #3: [52, 102] from Operation: 51*2=102 Current State: 50:[52, 102], Operations: ['79-27=52', '51*2=102'] Exploring Operation: 102-52=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[27, 51, 2, 79], Operations: [] Exploring Operation: 79-27=52, Resulting Numbers: [51, 2, 52] Generated Node #0,0: 50:[51, 2, 52] Operation: 79-27=52 Exploring Operation: 79-51=28, Resulting Numbers: [27, 2, 28] Generated Node #0,1: 50:[27, 2, 28] Operation: 79-51=28 Exploring Operation: 51-27=24, Resulting Numbers: [2, 79, 24] Generated Node #0,2: 50:[2, 79, 24] Operation: 51-27=24 Moving to Node #0,0 Current State: 50:[51, 2, 52], Operations: ['79-27=52'] Exploring Operation: 52-2=50, Resulting Numbers: [51, 50] Generated Node #0,0,0: 50:[51, 50] Operation: 52-2=50 Exploring Operation: 52/2=26, Resulting Numbers: [51, 26] Generated Node #0,0,1: 50:[51, 26] Operation: 52/2=26 Exploring Operation: 52-51=1, Resulting Numbers: [2, 1] Generated Node #0,0,2: 50:[2, 1] Operation: 52-51=1 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 50:[51, 50], Operations: ['79-27=52', '52-2=50'] Exploring Operation: 51*50=2550, Resulting Numbers: [2550] 2550,50 unequal: No Solution Exploring Operation: 51-50=1, Resulting Numbers: [1] 1,50 unequal: No Solution Exploring Operation: 51+50=101, Resulting Numbers: [101] 101,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 50:[2, 1], Operations: ['79-27=52', '52-51=1'] Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,50 unequal: No Solution Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 50:[51, 26], Operations: ['79-27=52', '52/2=26'] Exploring Operation: 51*26=1326, Resulting Numbers: [1326] 1326,50 unequal: No Solution Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,50 unequal: No Solution Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,50 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: 50:[27, 2, 28], Operations: ['79-51=28'] Exploring Operation: 27-2=25, Resulting Numbers: [28, 25] Generated Node #0,1,0: 50:[28, 25] Operation: 27-2=25 Exploring Operation: 28-2=26, Resulting Numbers: [27, 26] Generated Node #0,1,1: 50:[27, 26] Operation: 28-2=26 Exploring Operation: 28-27=1, Resulting Numbers: [2, 1] Generated Node #0,1,2: 50:[2, 1] Operation: 28-27=1 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 50:[2, 1], Operations: ['79-51=28', '28-27=1'] Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,50 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 50:[28, 25], Operations: ['79-51=28', '27-2=25'] Exploring Operation: 28-25=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 28*25=700, Resulting Numbers: [700] 700,50 unequal: No Solution Exploring Operation: 28+25=53, Resulting Numbers: [53] 53,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 50:[27, 26], Operations: ['79-51=28', '28-2=26'] Exploring Operation: 27-26=1, Resulting Numbers: [1] 1,50 unequal: No Solution Exploring Operation: 27*26=702, Resulting Numbers: [702] 702,50 unequal: No Solution Exploring Operation: 27+26=53, Resulting Numbers: [53] 53,50 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: 50:[2, 79, 24], Operations: ['51-27=24'] Exploring Operation: 79-24=55, Resulting Numbers: [2, 55] Generated Node #0,2,0: 50:[2, 55] Operation: 79-24=55 Exploring Operation: 79-2=77, Resulting Numbers: [24, 77] Generated Node #0,2,1: 50:[24, 77] Operation: 79-2=77 Exploring Operation: 2+24=26, Resulting Numbers: [79, 26] Generated Node #0,2,2: 50:[79, 26] Operation: 2+24=26 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 50:[2, 55], Operations: ['51-27=24', '79-24=55'] Exploring Operation: 2+55=57, Resulting Numbers: [57] 57,50 unequal: No Solution Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,50 unequal: No Solution Exploring Operation: 2*55=110, Resulting Numbers: [110] 110,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 50:[24, 77], Operations: ['51-27=24', '79-2=77'] Exploring Operation: 24*77=1848, Resulting Numbers: [1848] 1848,50 unequal: No Solution Exploring Operation: 24+77=101, Resulting Numbers: [101] 101,50 unequal: No Solution Exploring Operation: 77-24=53, Resulting Numbers: [53] 53,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 50:[79, 26], Operations: ['51-27=24', '2+24=26'] Exploring Operation: 79+26=105, Resulting Numbers: [105] 105,50 unequal: No Solution Exploring Operation: 79*26=2054, Resulting Numbers: [2054] 2054,50 unequal: No Solution Exploring Operation: 79-26=53, Resulting Numbers: [53] 53,50 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 1, 19, 31, 31 ]
19
[ "1+19=20", "31/31=1", "20-1=19" ]
Current State: 19:[1, 19, 31, 31], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [31, 31, 20] Generated Node #2: [31, 31, 20] from Operation: 1+19=20 Current State: 19:[31, 31, 20], Operations: ['1+19=20'] Exploring Operation: 31/31=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 31/31=1 Current State: 19:[20, 1], Operations: ['1+19=20', '31/31=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[1, 19, 31, 31], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [19, 31, 30] Generated Node #0,0: 19:[19, 31, 30] Operation: 31-1=30 Exploring Operation: 31-1=30, Resulting Numbers: [19, 31, 30] Generated Node #0,1: 19:[19, 31, 30] Operation: 31-1=30 Exploring Operation: 1*19=19, Resulting Numbers: [31, 31, 19] Generated Node #0,2: 19:[31, 31, 19] Operation: 1*19=19 Exploring Operation: 19/1=19, Resulting Numbers: [31, 31, 19] Generated Node #0,3: 19:[31, 31, 19] Operation: 19/1=19 Moving to Node #0,0 Current State: 19:[19, 31, 30], Operations: ['31-1=30'] Exploring Operation: 31-30=1, Resulting Numbers: [19, 1] Generated Node #0,0,0: 19:[19, 1] Operation: 31-30=1 Exploring Operation: 31-19=12, Resulting Numbers: [30, 12] Generated Node #0,0,1: 19:[30, 12] Operation: 31-19=12 Exploring Operation: 19+31=50, Resulting Numbers: [30, 50] Generated Node #0,0,2: 19:[30, 50] Operation: 19+31=50 Exploring Operation: 30-19=11, Resulting Numbers: [31, 11] Generated Node #0,0,3: 19:[31, 11] Operation: 30-19=11 Moving to Node #0,1 Current State: 19:[19, 31, 30], Operations: ['31-1=30'] Exploring Operation: 30-19=11, Resulting Numbers: [31, 11] Generated Node #0,1,0: 19:[31, 11] Operation: 30-19=11 Exploring Operation: 19+31=50, Resulting Numbers: [30, 50] Generated Node #0,1,1: 19:[30, 50] Operation: 19+31=50 Exploring Operation: 31-19=12, Resulting Numbers: [30, 12] Generated Node #0,1,2: 19:[30, 12] Operation: 31-19=12 Exploring Operation: 31-30=1, Resulting Numbers: [19, 1] Generated Node #0,1,3: 19:[19, 1] Operation: 31-30=1 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 19:[30, 12], Operations: ['31-1=30', '31-19=12'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,19 unequal: No Solution Exploring Operation: 30+12=42, Resulting Numbers: [42] 42,19 unequal: No Solution Exploring Operation: 30*12=360, Resulting Numbers: [360] 360,19 unequal: No Solution No 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: 19:[19, 1], Operations: ['31-1=30', '31-30=1'] Exploring Operation: 19/1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[1, 19, 31, 31], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [19, 31, 30] Generated Node #0,1: 19:[19, 31, 30] Operation: 31-1=30 Moving to Node #0,1 Current State: 19:[19, 31, 30], Operations: ['31-1=30'] Exploring Operation: 31-30=1, Resulting Numbers: [19, 1] Generated Node #0,1,3: 19:[19, 1] Operation: 31-30=1 Moving to Node #0,1,3 Current State: 19:[19, 1], Operations: ['31-1=30', '31-30=1'] Exploring Operation: 19/1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Exit Sub Search at level 1
0.982639
hs_4
mult_heuristic
[ 34, 72, 41, 29 ]
36
[ "34+72=106", "41+29=70", "106-70=36" ]
Current State: 36:[34, 72, 41, 29], Operations: [] Exploring Operation: 34+72=106, Resulting Numbers: [41, 29, 106] Generated Node #2: [41, 29, 106] from Operation: 34+72=106 Current State: 36:[41, 29, 106], Operations: ['34+72=106'] Exploring Operation: 41+29=70, Resulting Numbers: [106, 70] Generated Node #3: [106, 70] from Operation: 41+29=70 Current State: 36:[106, 70], Operations: ['34+72=106', '41+29=70'] Exploring Operation: 106-70=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[34, 72, 41, 29], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [72, 41, 5] Generated Node #0,0: 36:[72, 41, 5] Operation: 34-29=5 Exploring Operation: 72-41=31, Resulting Numbers: [34, 29, 31] Generated Node #0,1: 36:[34, 29, 31] Operation: 72-41=31 Exploring Operation: 72-34=38, Resulting Numbers: [41, 29, 38] Generated Node #0,2: 36:[41, 29, 38] Operation: 72-34=38 Exploring Operation: 41-29=12, Resulting Numbers: [34, 72, 12] Generated Node #0,3: 36:[34, 72, 12] Operation: 41-29=12 Exploring Operation: 72-29=43, Resulting Numbers: [34, 41, 43] Generated Node #0,4: 36:[34, 41, 43] Operation: 72-29=43 Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[34, 29, 31], Operations: ['72-41=31'] Exploring Operation: 31-29=2, Resulting Numbers: [34, 2] Generated Node #0,1,0: 36:[34, 2] Operation: 31-29=2 Exploring Operation: 29+31=60, Resulting Numbers: [34, 60] Generated Node #0,1,1: 36:[34, 60] Operation: 29+31=60 Exploring Operation: 34+29=63, Resulting Numbers: [31, 63] Generated Node #0,1,2: 36:[31, 63] Operation: 34+29=63 Exploring Operation: 34-29=5, Resulting Numbers: [31, 5] Generated Node #0,1,3: 36:[31, 5] Operation: 34-29=5 Exploring Operation: 34-31=3, Resulting Numbers: [29, 3] Generated Node #0,1,4: 36:[29, 3] Operation: 34-31=3 Moving to Node #0,1,0 Current State: 36:[34, 2], Operations: ['72-41=31', '31-29=2'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,36 unequal: No Solution Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,36 unequal: No Solution Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[34, 72, 41, 29], Operations: [] Exploring Operation: 72-41=31, Resulting Numbers: [34, 29, 31] Generated Node #0,1: 36:[34, 29, 31] Operation: 72-41=31 Moving to Node #0,1 Current State: 36:[34, 29, 31], Operations: ['72-41=31'] Exploring Operation: 31-29=2, Resulting Numbers: [34, 2] Generated Node #0,1,0: 36:[34, 2] Operation: 31-29=2 Moving to Node #0,1,0 Current State: 36:[34, 2], Operations: ['72-41=31', '31-29=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
sum_heuristic
[ 6, 2, 45, 86 ]
45
[ "6-2=4", "86-45=41", "4+41=45" ]
Current State: 45:[6, 2, 45, 86], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [45, 86, 4] Generated Node #2: [45, 86, 4] from Operation: 6-2=4 Current State: 45:[45, 86, 4], Operations: ['6-2=4'] Exploring Operation: 86-45=41, Resulting Numbers: [4, 41] Generated Node #3: [4, 41] from Operation: 86-45=41 Current State: 45:[4, 41], Operations: ['6-2=4', '86-45=41'] Exploring Operation: 4+41=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[6, 2, 45, 86], Operations: [] Exploring Operation: 86-45=41, Resulting Numbers: [6, 2, 41] Generated Node #0,0: 45:[6, 2, 41] Operation: 86-45=41 Exploring Operation: 86-2=84, Resulting Numbers: [6, 45, 84] Generated Node #0,1: 45:[6, 45, 84] Operation: 86-2=84 Exploring Operation: 86/2=43, Resulting Numbers: [6, 45, 43] Generated Node #0,2: 45:[6, 45, 43] Operation: 86/2=43 Exploring Operation: 86-6=80, Resulting Numbers: [2, 45, 80] Generated Node #0,3: 45:[2, 45, 80] Operation: 86-6=80 Moving to Node #0,2 Current State: 45:[6, 45, 43], Operations: ['86/2=43'] Exploring Operation: 6+43=49, Resulting Numbers: [45, 49] Generated Node #0,2,0: 45:[45, 49] Operation: 6+43=49 Exploring Operation: 45-43=2, Resulting Numbers: [6, 2] Generated Node #0,2,1: 45:[6, 2] Operation: 45-43=2 Exploring Operation: 45-6=39, Resulting Numbers: [43, 39] Generated Node #0,2,2: 45:[43, 39] Operation: 45-6=39 Exploring Operation: 6+45=51, Resulting Numbers: [43, 51] Generated Node #0,2,3: 45:[43, 51] Operation: 6+45=51 Moving to Node #0,0 Current State: 45:[6, 2, 41], Operations: ['86-45=41'] Exploring Operation: 6+2=8, Resulting Numbers: [41, 8] Generated Node #0,0,0: 45:[41, 8] Operation: 6+2=8 Exploring Operation: 6/2=3, Resulting Numbers: [41, 3] Generated Node #0,0,1: 45:[41, 3] Operation: 6/2=3 Exploring Operation: 2+41=43, Resulting Numbers: [6, 43] Generated Node #0,0,2: 45:[6, 43] Operation: 2+41=43 Exploring Operation: 6+41=47, Resulting Numbers: [2, 47] Generated Node #0,0,3: 45:[2, 47] Operation: 6+41=47 Moving to Node #0,3 Current State: 45:[2, 45, 80], Operations: ['86-6=80'] Exploring Operation: 2+45=47, Resulting Numbers: [80, 47] Generated Node #0,3,0: 45:[80, 47] Operation: 2+45=47 Exploring Operation: 80-2=78, Resulting Numbers: [45, 78] Generated Node #0,3,1: 45:[45, 78] Operation: 80-2=78 Exploring Operation: 80/2=40, Resulting Numbers: [45, 40] Generated Node #0,3,2: 45:[45, 40] Operation: 80/2=40 Exploring Operation: 80-45=35, Resulting Numbers: [2, 35] Generated Node #0,3,3: 45:[2, 35] Operation: 80-45=35 Moving to Node #0,1 Current State: 45:[6, 45, 84], Operations: ['86-2=84'] Exploring Operation: 84-45=39, Resulting Numbers: [6, 39] Generated Node #0,1,0: 45:[6, 39] Operation: 84-45=39 Exploring Operation: 6+45=51, Resulting Numbers: [84, 51] Generated Node #0,1,1: 45:[84, 51] Operation: 6+45=51 Exploring Operation: 84/6=14, Resulting Numbers: [45, 14] Generated Node #0,1,2: 45:[45, 14] Operation: 84/6=14 Exploring Operation: 84-6=78, Resulting Numbers: [45, 78] Generated Node #0,1,3: 45:[45, 78] Operation: 84-6=78 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 45:[45, 14], Operations: ['86-2=84', '84/6=14'] Exploring Operation: 45+14=59, Resulting Numbers: [59] 59,45 unequal: No Solution Exploring Operation: 45*14=630, Resulting Numbers: [630] 630,45 unequal: No Solution Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 45:[6, 39], Operations: ['86-2=84', '84-45=39'] Exploring Operation: 6+39=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[6, 2, 45, 86], Operations: [] Exploring Operation: 86-2=84, Resulting Numbers: [6, 45, 84] Generated Node #0,1: 45:[6, 45, 84] Operation: 86-2=84 Moving to Node #0,1 Current State: 45:[6, 45, 84], Operations: ['86-2=84'] Exploring Operation: 84-45=39, Resulting Numbers: [6, 39] Generated Node #0,1,0: 45:[6, 39] Operation: 84-45=39 Moving to Node #0,1,0 Current State: 45:[6, 39], Operations: ['86-2=84', '84-45=39'] Exploring Operation: 6+39=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Exit Sub Search at level 1
0.975694
hs_4
mult_heuristic
[ 18, 68, 34, 42 ]
66
[ "68/34=2", "42*2=84", "84-18=66" ]
Current State: 66:[18, 68, 34, 42], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [18, 42, 2] Generated Node #2: [18, 42, 2] from Operation: 68/34=2 Current State: 66:[18, 42, 2], Operations: ['68/34=2'] Exploring Operation: 42*2=84, Resulting Numbers: [18, 84] Generated Node #3: [18, 84] from Operation: 42*2=84 Current State: 66:[18, 84], Operations: ['68/34=2', '42*2=84'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[18, 68, 34, 42], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [18, 34, 26] Generated Node #0,0: 66:[18, 34, 26] Operation: 68-42=26 Exploring Operation: 42-34=8, Resulting Numbers: [18, 68, 8] Generated Node #0,1: 66:[18, 68, 8] Operation: 42-34=8 Exploring Operation: 18+42=60, Resulting Numbers: [68, 34, 60] Generated Node #0,2: 66:[68, 34, 60] Operation: 18+42=60 Exploring Operation: 42-18=24, Resulting Numbers: [68, 34, 24] Generated Node #0,3: 66:[68, 34, 24] Operation: 42-18=24 Moving to Node #0,3 Current State: 66:[68, 34, 24], Operations: ['42-18=24'] Exploring Operation: 68-34=34, Resulting Numbers: [24, 34] Generated Node #0,3,0: 66:[24, 34] Operation: 68-34=34 Exploring Operation: 34-24=10, Resulting Numbers: [68, 10] Generated Node #0,3,1: 66:[68, 10] Operation: 34-24=10 Exploring Operation: 68/34=2, Resulting Numbers: [24, 2] Generated Node #0,3,2: 66:[24, 2] Operation: 68/34=2 Exploring Operation: 34+24=58, Resulting Numbers: [68, 58] Generated Node #0,3,3: 66:[68, 58] Operation: 34+24=58 Moving to Node #0,1 Current State: 66:[18, 68, 8], Operations: ['42-34=8'] Exploring Operation: 18-8=10, Resulting Numbers: [68, 10] Generated Node #0,1,0: 66:[68, 10] Operation: 18-8=10 Exploring Operation: 68-8=60, Resulting Numbers: [18, 60] Generated Node #0,1,1: 66:[18, 60] Operation: 68-8=60 Exploring Operation: 18+8=26, Resulting Numbers: [68, 26] Generated Node #0,1,2: 66:[68, 26] Operation: 18+8=26 Exploring Operation: 68+8=76, Resulting Numbers: [18, 76] Generated Node #0,1,3: 66:[18, 76] Operation: 68+8=76 Moving to Node #0,2 Current State: 66:[68, 34, 60], Operations: ['18+42=60'] Exploring Operation: 68-60=8, Resulting Numbers: [34, 8] Generated Node #0,2,0: 66:[34, 8] Operation: 68-60=8 Exploring Operation: 68/34=2, Resulting Numbers: [60, 2] Generated Node #0,2,1: 66:[60, 2] Operation: 68/34=2 Exploring Operation: 68-34=34, Resulting Numbers: [60, 34] Generated Node #0,2,2: 66:[60, 34] Operation: 68-34=34 Exploring Operation: 60-34=26, Resulting Numbers: [68, 26] Generated Node #0,2,3: 66:[68, 26] Operation: 60-34=26 Moving to Node #0,0 Current State: 66:[18, 34, 26], Operations: ['68-42=26'] Exploring Operation: 34-26=8, Resulting Numbers: [18, 8] Generated Node #0,0,0: 66:[18, 8] Operation: 34-26=8 Exploring Operation: 34-18=16, Resulting Numbers: [26, 16] Generated Node #0,0,1: 66:[26, 16] Operation: 34-18=16 Exploring Operation: 34+26=60, Resulting Numbers: [18, 60] Generated Node #0,0,2: 66:[18, 60] Operation: 34+26=60 Exploring Operation: 26-18=8, Resulting Numbers: [34, 8] Generated Node #0,0,3: 66:[34, 8] Operation: 26-18=8 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 66:[34, 8], Operations: ['68-42=26', '26-18=8'] Exploring Operation: 34-8=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 34*8=272, Resulting Numbers: [272] 272,66 unequal: No Solution Exploring Operation: 34+8=42, Resulting Numbers: [42] 42,66 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 #0,0,0 Current State: 66:[18, 8], Operations: ['68-42=26', '34-26=8'] Exploring Operation: 18+8=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,66 unequal: No Solution Exploring Operation: 18*8=144, Resulting Numbers: [144] 144,66 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:[26, 16], Operations: ['68-42=26', '34-18=16'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,66 unequal: No Solution Exploring Operation: 26+16=42, Resulting Numbers: [42] 42,66 unequal: No Solution Exploring Operation: 26*16=416, Resulting Numbers: [416] 416,66 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 #0,0,2 Current State: 66:[18, 60], Operations: ['68-42=26', '34+26=60'] Exploring Operation: 18*60=1080, Resulting Numbers: [1080] 1080,66 unequal: No Solution Exploring Operation: 60-18=42, Resulting Numbers: [42] 42,66 unequal: No Solution Exploring Operation: 18+60=78, Resulting Numbers: [78] 78,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,2 Current State: 66:[24, 2], Operations: ['42-18=24', '68/34=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,66 unequal: No Solution Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,66 unequal: No Solution Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[68, 10], Operations: ['42-18=24', '34-24=10'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,66 unequal: No Solution Exploring Operation: 68+10=78, Resulting Numbers: [78] 78,66 unequal: No Solution Exploring Operation: 68*10=680, Resulting Numbers: [680] 680,66 unequal: No Solution Moving to Node #0,3,0 Current State: 66:[24, 34], Operations: ['42-18=24', '68-34=34'] Exploring Operation: 24*34=816, Resulting Numbers: [816] 816,66 unequal: No Solution Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,66 unequal: No Solution Exploring Operation: 24+34=58, Resulting Numbers: [58] 58,66 unequal: No Solution Moving to Node #0,1,0 Current State: 66:[68, 10], Operations: ['42-34=8', '18-8=10'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,66 unequal: No Solution Exploring Operation: 68+10=78, Resulting Numbers: [78] 78,66 unequal: No Solution Exploring Operation: 68*10=680, Resulting Numbers: [680] 680,66 unequal: No Solution Moving to Node #0,2,0 Current State: 66:[34, 8], Operations: ['18+42=60', '68-60=8'] Exploring Operation: 34-8=26, Resulting Numbers: [26] 26,66 unequal: No Solution Exploring Operation: 34+8=42, Resulting Numbers: [42] 42,66 unequal: No Solution Exploring Operation: 34*8=272, Resulting Numbers: [272] 272,66 unequal: No Solution Moving to Node #0,1,2 Current State: 66:[68, 26], Operations: ['42-34=8', '18+8=26'] Exploring Operation: 68-26=42, Resulting Numbers: [42] 42,66 unequal: No Solution Exploring Operation: 68*26=1768, Resulting Numbers: [1768] 1768,66 unequal: No Solution Exploring Operation: 68+26=94, Resulting Numbers: [94] 94,66 unequal: No Solution Moving to Node #0,2,1 Current State: 66:[60, 2], Operations: ['18+42=60', '68/34=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,66 unequal: No Solution Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,66 unequal: No Solution Exploring Operation: 60*2=120, Resulting Numbers: [120] 120,66 unequal: No Solution Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,66 unequal: No Solution Moving to Node #0,2,3 Current State: 66:[68, 26], Operations: ['18+42=60', '60-34=26'] Exploring Operation: 68*26=1768, Resulting Numbers: [1768] 1768,66 unequal: No Solution Exploring Operation: 68-26=42, Resulting Numbers: [42] 42,66 unequal: No Solution Exploring Operation: 68+26=94, Resulting Numbers: [94] 94,66 unequal: No Solution Moving to Node #0,2,2 Current State: 66:[60, 34], Operations: ['18+42=60', '68-34=34'] Exploring Operation: 60*34=2040, Resulting Numbers: [2040] 2040,66 unequal: No Solution Exploring Operation: 60+34=94, Resulting Numbers: [94] 94,66 unequal: No Solution Exploring Operation: 60-34=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,3,3 Current State: 66:[68, 58], Operations: ['42-18=24', '34+24=58'] Exploring Operation: 68+58=126, Resulting Numbers: [126] 126,66 unequal: No Solution Exploring Operation: 68*58=3944, Resulting Numbers: [3944] 3944,66 unequal: No Solution Exploring Operation: 68-58=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,1,1 Current State: 66:[18, 60], Operations: ['42-34=8', '68-8=60'] Exploring Operation: 18+60=78, Resulting Numbers: [78] 78,66 unequal: No Solution Exploring Operation: 18*60=1080, Resulting Numbers: [1080] 1080,66 unequal: No Solution Exploring Operation: 60-18=42, Resulting Numbers: [42] 42,66 unequal: No Solution Moving to Node #0,1,3 Current State: 66:[18, 76], Operations: ['42-34=8', '68+8=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,66 unequal: No Solution Exploring Operation: 18*76=1368, Resulting Numbers: [1368] 1368,66 unequal: No Solution Exploring Operation: 76-18=58, Resulting Numbers: [58] 58,66 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 74, 69, 34, 50 ]
79
[ "74-69=5", "34+50=84", "84-5=79" ]
Current State: 79:[74, 69, 34, 50], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [34, 50, 5] Generated Node #2: [34, 50, 5] from Operation: 74-69=5 Current State: 79:[34, 50, 5], Operations: ['74-69=5'] Exploring Operation: 34+50=84, Resulting Numbers: [5, 84] Generated Node #3: [5, 84] from Operation: 34+50=84 Current State: 79:[5, 84], Operations: ['74-69=5', '34+50=84'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[74, 69, 34, 50], Operations: [] Exploring Operation: 34+50=84, Resulting Numbers: [74, 69, 84] Generated Node #0,0: 79:[74, 69, 84] Operation: 34+50=84 Exploring Operation: 69+34=103, Resulting Numbers: [74, 50, 103] Generated Node #0,1: 79:[74, 50, 103] Operation: 69+34=103 Moving to Node #0,0 Current State: 79:[74, 69, 84], Operations: ['34+50=84'] Exploring Operation: 74+69=143, Resulting Numbers: [84, 143] Generated Node #0,0,0: 79:[84, 143] Operation: 74+69=143 Exploring Operation: 84-69=15, Resulting Numbers: [74, 15] Generated Node #0,0,1: 79:[74, 15] Operation: 84-69=15 Moving to Node #0,1 Current State: 79:[74, 50, 103], Operations: ['69+34=103'] Exploring Operation: 74+50=124, Resulting Numbers: [103, 124] Generated Node #0,1,0: 79:[103, 124] Operation: 74+50=124 Exploring Operation: 103-50=53, Resulting Numbers: [74, 53] Generated Node #0,1,1: 79:[74, 53] Operation: 103-50=53 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 79:[74, 53], Operations: ['69+34=103', '103-50=53'] Exploring Operation: 74+53=127, Resulting Numbers: [127] 127,79 unequal: No Solution Exploring Operation: 74-53=21, Resulting Numbers: [21] 21,79 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 #0,1,0 Current State: 79:[103, 124], Operations: ['69+34=103', '74+50=124'] Exploring Operation: 103+124=227, Resulting Numbers: [227] 227,79 unequal: No Solution Exploring Operation: 124-103=21, Resulting Numbers: [21] 21,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 79:[84, 143], Operations: ['34+50=84', '74+69=143'] Exploring Operation: 143-84=59, Resulting Numbers: [59] 59,79 unequal: No Solution Exploring Operation: 84+143=227, Resulting Numbers: [227] 227,79 unequal: No Solution Moving to Node #0,0,1 Current State: 79:[74, 15], Operations: ['34+50=84', '84-69=15'] Exploring Operation: 74+15=89, Resulting Numbers: [89] 89,79 unequal: No Solution Exploring Operation: 74-15=59, Resulting Numbers: [59] 59,79 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 90, 37, 40, 60 ]
33
[ "90-37=53", "60-40=20", "53-20=33" ]
Current State: 33:[90, 37, 40, 60], Operations: [] Exploring Operation: 90-37=53, Resulting Numbers: [40, 60, 53] Generated Node #2: [40, 60, 53] from Operation: 90-37=53 Current State: 33:[40, 60, 53], Operations: ['90-37=53'] Exploring Operation: 60-40=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 60-40=20 Current State: 33:[53, 20], Operations: ['90-37=53', '60-40=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[90, 37, 40, 60], Operations: [] Exploring Operation: 90-40=50, Resulting Numbers: [37, 60, 50] Generated Node #0,0: 33:[37, 60, 50] Operation: 90-40=50 Exploring Operation: 90-37=53, Resulting Numbers: [40, 60, 53] Generated Node #0,1: 33:[40, 60, 53] Operation: 90-37=53 Exploring Operation: 60-40=20, Resulting Numbers: [90, 37, 20] Generated Node #0,2: 33:[90, 37, 20] Operation: 60-40=20 Exploring Operation: 90-60=30, Resulting Numbers: [37, 40, 30] Generated Node #0,3: 33:[37, 40, 30] Operation: 90-60=30 Start Sub Search at level 1: Moving to Node #0,3 Current State: 33:[37, 40, 30], Operations: ['90-60=30'] Exploring Operation: 40-37=3, Resulting Numbers: [30, 3] Generated Node #0,3,0: 33:[30, 3] Operation: 40-37=3 Exploring Operation: 37-30=7, Resulting Numbers: [40, 7] Generated Node #0,3,1: 33:[40, 7] Operation: 37-30=7 Exploring Operation: 40-30=10, Resulting Numbers: [37, 10] Generated Node #0,3,2: 33:[37, 10] Operation: 40-30=10 Exploring Operation: 37+30=67, Resulting Numbers: [40, 67] Generated Node #0,3,3: 33:[40, 67] Operation: 37+30=67 Moving to Node #0,3,0 Current State: 33:[30, 3], Operations: ['90-60=30', '40-37=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[90, 37, 40, 60], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [37, 40, 30] Generated Node #0,3: 33:[37, 40, 30] Operation: 90-60=30 Moving to Node #0,3 Current State: 33:[37, 40, 30], Operations: ['90-60=30'] Exploring Operation: 40-37=3, Resulting Numbers: [30, 3] Generated Node #0,3,0: 33:[30, 3] Operation: 40-37=3 Moving to Node #0,3,0 Current State: 33:[30, 3], Operations: ['90-60=30', '40-37=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 62, 68, 79, 41 ]
44
[ "68-62=6", "79-41=38", "6+38=44" ]
Current State: 44:[62, 68, 79, 41], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [79, 41, 6] Generated Node #2: [79, 41, 6] from Operation: 68-62=6 Current State: 44:[79, 41, 6], Operations: ['68-62=6'] Exploring Operation: 79-41=38, Resulting Numbers: [6, 38] Generated Node #3: [6, 38] from Operation: 79-41=38 Current State: 44:[6, 38], Operations: ['68-62=6', '79-41=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[62, 68, 79, 41], Operations: [] Exploring Operation: 79-41=38, Resulting Numbers: [62, 68, 38] Generated Node #0,0: 44:[62, 68, 38] Operation: 79-41=38 Exploring Operation: 79-62=17, Resulting Numbers: [68, 41, 17] Generated Node #0,1: 44:[68, 41, 17] Operation: 79-62=17 Exploring Operation: 68-62=6, Resulting Numbers: [79, 41, 6] Generated Node #0,2: 44:[79, 41, 6] Operation: 68-62=6 Exploring Operation: 79-68=11, Resulting Numbers: [62, 41, 11] Generated Node #0,3: 44:[62, 41, 11] Operation: 79-68=11 Exploring Operation: 68-41=27, Resulting Numbers: [62, 79, 27] Generated Node #0,4: 44:[62, 79, 27] Operation: 68-41=27 Moving to Node #0,3 Current State: 44:[62, 41, 11], Operations: ['79-68=11'] Exploring Operation: 62-41=21, Resulting Numbers: [11, 21] Generated Node #0,3,0: 44:[11, 21] Operation: 62-41=21 Exploring Operation: 62+11=73, Resulting Numbers: [41, 73] Generated Node #0,3,1: 44:[41, 73] Operation: 62+11=73 Exploring Operation: 62-11=51, Resulting Numbers: [41, 51] Generated Node #0,3,2: 44:[41, 51] Operation: 62-11=51 Exploring Operation: 41-11=30, Resulting Numbers: [62, 30] Generated Node #0,3,3: 44:[62, 30] Operation: 41-11=30 Exploring Operation: 41+11=52, Resulting Numbers: [62, 52] Generated Node #0,3,4: 44:[62, 52] Operation: 41+11=52 Moving to Node #0,1 Current State: 44:[68, 41, 17], Operations: ['79-62=17'] Exploring Operation: 68-41=27, Resulting Numbers: [17, 27] Generated Node #0,1,0: 44:[17, 27] Operation: 68-41=27 Exploring Operation: 41-17=24, Resulting Numbers: [68, 24] Generated Node #0,1,1: 44:[68, 24] Operation: 41-17=24 Exploring Operation: 68-17=51, Resulting Numbers: [41, 51] Generated Node #0,1,2: 44:[41, 51] Operation: 68-17=51 Exploring Operation: 68/17=4, Resulting Numbers: [41, 4] Generated Node #0,1,3: 44:[41, 4] Operation: 68/17=4 Exploring Operation: 41+17=58, Resulting Numbers: [68, 58] Generated Node #0,1,4: 44:[68, 58] Operation: 41+17=58 Moving to Node #0,2 Current State: 44:[79, 41, 6], Operations: ['68-62=6'] Exploring Operation: 79-6=73, Resulting Numbers: [41, 73] Generated Node #0,2,0: 44:[41, 73] Operation: 79-6=73 Exploring Operation: 79-41=38, Resulting Numbers: [6, 38] Generated Node #0,2,1: 44:[6, 38] Operation: 79-41=38 Exploring Operation: 41-6=35, Resulting Numbers: [79, 35] Generated Node #0,2,2: 44:[79, 35] Operation: 41-6=35 Exploring Operation: 41+6=47, Resulting Numbers: [79, 47] Generated Node #0,2,3: 44:[79, 47] Operation: 41+6=47 Exploring Operation: 79+6=85, Resulting Numbers: [41, 85] Generated Node #0,2,4: 44:[41, 85] Operation: 79+6=85 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 44:[6, 38], Operations: ['68-62=6', '79-41=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[62, 68, 79, 41], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [79, 41, 6] Generated Node #0,2: 44:[79, 41, 6] Operation: 68-62=6 Moving to Node #0,2 Current State: 44:[79, 41, 6], Operations: ['68-62=6'] Exploring Operation: 79-41=38, Resulting Numbers: [6, 38] Generated Node #0,2,1: 44:[6, 38] Operation: 79-41=38 Moving to Node #0,2,1 Current State: 44:[6, 38], Operations: ['68-62=6', '79-41=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Exit Sub Search at level 1
0.978299
hs_5
mult_heuristic
[ 58, 3, 99, 6 ]
74
[ "99-3=96", "96/6=16", "58+16=74" ]
Current State: 74:[58, 3, 99, 6], Operations: [] Exploring Operation: 99-3=96, Resulting Numbers: [58, 6, 96] Generated Node #2: [58, 6, 96] from Operation: 99-3=96 Current State: 74:[58, 6, 96], Operations: ['99-3=96'] Exploring Operation: 96/6=16, Resulting Numbers: [58, 16] Generated Node #3: [58, 16] from Operation: 96/6=16 Current State: 74:[58, 16], Operations: ['99-3=96', '96/6=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[58, 3, 99, 6], Operations: [] Exploring Operation: 99-58=41, Resulting Numbers: [3, 6, 41] Generated Node #0,0: 74:[3, 6, 41] Operation: 99-58=41 Exploring Operation: 58-6=52, Resulting Numbers: [3, 99, 52] Generated Node #0,1: 74:[3, 99, 52] Operation: 58-6=52 Exploring Operation: 58+6=64, Resulting Numbers: [3, 99, 64] Generated Node #0,2: 74:[3, 99, 64] Operation: 58+6=64 Exploring Operation: 99/3=33, Resulting Numbers: [58, 6, 33] Generated Node #0,3: 74:[58, 6, 33] Operation: 99/3=33 Exploring Operation: 99-6=93, Resulting Numbers: [58, 3, 93] Generated Node #0,4: 74:[58, 3, 93] Operation: 99-6=93 Moving to Node #0,0 Current State: 74:[3, 6, 41], Operations: ['99-58=41'] Exploring Operation: 6/3=2, Resulting Numbers: [41, 2] Generated Node #0,0,0: 74:[41, 2] Operation: 6/3=2 Exploring Operation: 3+6=9, Resulting Numbers: [41, 9] Generated Node #0,0,1: 74:[41, 9] Operation: 3+6=9 Exploring Operation: 41-6=35, Resulting Numbers: [3, 35] Generated Node #0,0,2: 74:[3, 35] Operation: 41-6=35 Exploring Operation: 6-3=3, Resulting Numbers: [41, 3] Generated Node #0,0,3: 74:[41, 3] Operation: 6-3=3 Exploring Operation: 41-3=38, Resulting Numbers: [6, 38] Generated Node #0,0,4: 74:[6, 38] Operation: 41-3=38 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 74:[3, 35], Operations: ['99-58=41', '41-6=35'] Exploring Operation: 3*35=105, Resulting Numbers: [105] 105,74 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,74 unequal: No Solution Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,74 unequal: No Solution No 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: 74:[41, 2], Operations: ['99-58=41', '6/3=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,74 unequal: No Solution Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,74 unequal: No Solution Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,74 unequal: No Solution No 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: 74:[41, 3], Operations: ['99-58=41', '6-3=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,74 unequal: No Solution Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 41*3=123, Resulting Numbers: [123] 123,74 unequal: No Solution No 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: 74:[6, 38], Operations: ['99-58=41', '41-3=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,74 unequal: No Solution Exploring Operation: 38-6=32, Resulting Numbers: [32] 32,74 unequal: No Solution Exploring Operation: 6*38=228, Resulting Numbers: [228] 228,74 unequal: No Solution No 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: 74:[41, 9], Operations: ['99-58=41', '3+6=9'] Exploring Operation: 41*9=369, Resulting Numbers: [369] 369,74 unequal: No Solution Exploring Operation: 41+9=50, Resulting Numbers: [50] 50,74 unequal: No Solution Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,74 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: 74:[58, 6, 33], Operations: ['99/3=33'] Exploring Operation: 58+6=64, Resulting Numbers: [33, 64] Generated Node #0,3,0: 74:[33, 64] Operation: 58+6=64 Exploring Operation: 58+33=91, Resulting Numbers: [6, 91] Generated Node #0,3,1: 74:[6, 91] Operation: 58+33=91 Exploring Operation: 58-6=52, Resulting Numbers: [33, 52] Generated Node #0,3,2: 74:[33, 52] Operation: 58-6=52 Exploring Operation: 6+33=39, Resulting Numbers: [58, 39] Generated Node #0,3,3: 74:[58, 39] Operation: 6+33=39 Exploring Operation: 58-33=25, Resulting Numbers: [6, 25] Generated Node #0,3,4: 74:[6, 25] Operation: 58-33=25 Moving to Node #0,2 Current State: 74:[3, 99, 64], Operations: ['58+6=64'] Exploring Operation: 99/3=33, Resulting Numbers: [64, 33] Generated Node #0,2,0: 74:[64, 33] Operation: 99/3=33 Exploring Operation: 3+64=67, Resulting Numbers: [99, 67] Generated Node #0,2,1: 74:[99, 67] Operation: 3+64=67 Exploring Operation: 99-3=96, Resulting Numbers: [64, 96] Generated Node #0,2,2: 74:[64, 96] Operation: 99-3=96 Exploring Operation: 3+99=102, Resulting Numbers: [64, 102] Generated Node #0,2,3: 74:[64, 102] Operation: 3+99=102 Exploring Operation: 99-64=35, Resulting Numbers: [3, 35] Generated Node #0,2,4: 74:[3, 35] Operation: 99-64=35 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 74:[3, 35], Operations: ['58+6=64', '99-64=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 3*35=105, Resulting Numbers: [105] 105,74 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,74 unequal: No Solution No 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: 74:[64, 33], Operations: ['58+6=64', '99/3=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,74 unequal: No Solution Exploring Operation: 64*33=2112, Resulting Numbers: [2112] 2112,74 unequal: No Solution Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,74 unequal: No Solution No 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: 74:[99, 67], Operations: ['58+6=64', '3+64=67'] Exploring Operation: 99+67=166, Resulting Numbers: [166] 166,74 unequal: No Solution Exploring Operation: 99-67=32, Resulting Numbers: [32] 32,74 unequal: No Solution Exploring Operation: 99*67=6633, Resulting Numbers: [6633] 6633,74 unequal: No Solution No 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: 74:[64, 96], Operations: ['58+6=64', '99-3=96'] Exploring Operation: 96-64=32, Resulting Numbers: [32] 32,74 unequal: No Solution Exploring Operation: 64*96=6144, Resulting Numbers: [6144] 6144,74 unequal: No Solution Exploring Operation: 64+96=160, Resulting Numbers: [160] 160,74 unequal: No Solution No 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: 74:[64, 102], Operations: ['58+6=64', '3+99=102'] Exploring Operation: 64+102=166, Resulting Numbers: [166] 166,74 unequal: No Solution Exploring Operation: 64*102=6528, Resulting Numbers: [6528] 6528,74 unequal: No Solution Exploring Operation: 102-64=38, Resulting Numbers: [38] 38,74 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: 74:[58, 3, 93], Operations: ['99-6=93'] Exploring Operation: 58+3=61, Resulting Numbers: [93, 61] Generated Node #0,4,0: 74:[93, 61] Operation: 58+3=61 Exploring Operation: 93-58=35, Resulting Numbers: [3, 35] Generated Node #0,4,1: 74:[3, 35] Operation: 93-58=35 Exploring Operation: 93-3=90, Resulting Numbers: [58, 90] Generated Node #0,4,2: 74:[58, 90] Operation: 93-3=90 Exploring Operation: 58-3=55, Resulting Numbers: [93, 55] Generated Node #0,4,3: 74:[93, 55] Operation: 58-3=55 Exploring Operation: 93/3=31, Resulting Numbers: [58, 31] Generated Node #0,4,4: 74:[58, 31] Operation: 93/3=31 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 74:[3, 35], Operations: ['99-6=93', '93-58=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 3*35=105, Resulting Numbers: [105] 105,74 unequal: No Solution Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,74 unequal: No Solution No 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: 74:[58, 31], Operations: ['99-6=93', '93/3=31'] Exploring Operation: 58*31=1798, Resulting Numbers: [1798] 1798,74 unequal: No Solution Exploring Operation: 58+31=89, Resulting Numbers: [89] 89,74 unequal: No Solution Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,74 unequal: No Solution No 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: 74:[93, 61], Operations: ['99-6=93', '58+3=61'] Exploring Operation: 93-61=32, Resulting Numbers: [32] 32,74 unequal: No Solution Exploring Operation: 93*61=5673, Resulting Numbers: [5673] 5673,74 unequal: No Solution Exploring Operation: 93+61=154, Resulting Numbers: [154] 154,74 unequal: No Solution No 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: 74:[58, 90], Operations: ['99-6=93', '93-3=90'] Exploring Operation: 90-58=32, Resulting Numbers: [32] 32,74 unequal: No Solution Exploring Operation: 58+90=148, Resulting Numbers: [148] 148,74 unequal: No Solution Exploring Operation: 58*90=5220, Resulting Numbers: [5220] 5220,74 unequal: No Solution No 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: 74:[93, 55], Operations: ['99-6=93', '58-3=55'] Exploring Operation: 93-55=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 93*55=5115, Resulting Numbers: [5115] 5115,74 unequal: No Solution Exploring Operation: 93+55=148, Resulting Numbers: [148] 148,74 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: 74:[3, 99, 52], Operations: ['58-6=52'] Exploring Operation: 99-52=47, Resulting Numbers: [3, 47] Generated Node #0,1,0: 74:[3, 47] Operation: 99-52=47 Exploring Operation: 3+99=102, Resulting Numbers: [52, 102] Generated Node #0,1,1: 74:[52, 102] Operation: 3+99=102 Exploring Operation: 99-3=96, Resulting Numbers: [52, 96] Generated Node #0,1,2: 74:[52, 96] Operation: 99-3=96 Exploring Operation: 99/3=33, Resulting Numbers: [52, 33] Generated Node #0,1,3: 74:[52, 33] Operation: 99/3=33 Exploring Operation: 52-3=49, Resulting Numbers: [99, 49] Generated Node #0,1,4: 74:[99, 49] Operation: 52-3=49 Moving to Node #0,1,0 Current State: 74:[3, 47], Operations: ['58-6=52', '99-52=47'] Exploring Operation: 3+47=50, Resulting Numbers: [50] 50,74 unequal: No Solution Exploring Operation: 3*47=141, Resulting Numbers: [141] 141,74 unequal: No Solution Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,74 unequal: No Solution Moving to Node #0,3,0 Current State: 74:[33, 64], Operations: ['99/3=33', '58+6=64'] Exploring Operation: 33+64=97, Resulting Numbers: [97] 97,74 unequal: No Solution Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,74 unequal: No Solution Exploring Operation: 33*64=2112, Resulting Numbers: [2112] 2112,74 unequal: No Solution Moving to Node #0,3,4 Current State: 74:[6, 25], Operations: ['99/3=33', '58-33=25'] Exploring Operation: 6*25=150, Resulting Numbers: [150] 150,74 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,74 unequal: No Solution Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,74 unequal: No Solution Moving to Node #0,3,3 Current State: 74:[58, 39], Operations: ['99/3=33', '6+33=39'] Exploring Operation: 58-39=19, Resulting Numbers: [19] 19,74 unequal: No Solution Exploring Operation: 58+39=97, Resulting Numbers: [97] 97,74 unequal: No Solution Exploring Operation: 58*39=2262, Resulting Numbers: [2262] 2262,74 unequal: No Solution Moving to Node #0,1,3 Current State: 74:[52, 33], Operations: ['58-6=52', '99/3=33'] Exploring Operation: 52*33=1716, Resulting Numbers: [1716] 1716,74 unequal: No Solution Exploring Operation: 52+33=85, Resulting Numbers: [85] 85,74 unequal: No Solution Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,3,2 Current State: 74:[33, 52], Operations: ['99/3=33', '58-6=52'] Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,74 unequal: No Solution Exploring Operation: 33*52=1716, Resulting Numbers: [1716] 1716,74 unequal: No Solution Exploring Operation: 33+52=85, Resulting Numbers: [85] 85,74 unequal: No Solution Moving to Node #0,3,1 Current State: 74:[6, 91], Operations: ['99/3=33', '58+33=91'] Exploring Operation: 6+91=97, Resulting Numbers: [97] 97,74 unequal: No Solution Exploring Operation: 91-6=85, Resulting Numbers: [85] 85,74 unequal: No Solution Exploring Operation: 6*91=546, Resulting Numbers: [546] 546,74 unequal: No Solution Moving to Node #0,1,4 Current State: 74:[99, 49], Operations: ['58-6=52', '52-3=49'] Exploring Operation: 99+49=148, Resulting Numbers: [148] 148,74 unequal: No Solution Exploring Operation: 99*49=4851, Resulting Numbers: [4851] 4851,74 unequal: No Solution Exploring Operation: 99-49=50, Resulting Numbers: [50] 50,74 unequal: No Solution Moving to Node #0,1,2 Current State: 74:[52, 96], Operations: ['58-6=52', '99-3=96'] Exploring Operation: 52+96=148, Resulting Numbers: [148] 148,74 unequal: No Solution Exploring Operation: 52*96=4992, Resulting Numbers: [4992] 4992,74 unequal: No Solution Exploring Operation: 96-52=44, Resulting Numbers: [44] 44,74 unequal: No Solution Moving to Node #0,1,1 Current State: 74:[52, 102], Operations: ['58-6=52', '3+99=102'] Exploring Operation: 52*102=5304, Resulting Numbers: [5304] 5304,74 unequal: No Solution Exploring Operation: 102-52=50, Resulting Numbers: [50] 50,74 unequal: No Solution Exploring Operation: 52+102=154, Resulting Numbers: [154] 154,74 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 68, 10, 4, 64 ]
23
[ "68+64=132", "132/4=33", "33-10=23" ]
Current State: 23:[68, 10, 4, 64], Operations: [] Exploring Operation: 68+64=132, Resulting Numbers: [10, 4, 132] Generated Node #2: [10, 4, 132] from Operation: 68+64=132 Current State: 23:[10, 4, 132], Operations: ['68+64=132'] Exploring Operation: 132/4=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 132/4=33 Current State: 23:[10, 33], Operations: ['68+64=132', '132/4=33'] Exploring Operation: 33-10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
Current State: 23:[68, 10, 4, 64], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [10, 64, 17] Generated Node #0,0: 23:[10, 64, 17] Operation: 68/4=17 Exploring Operation: 68-10=58, Resulting Numbers: [4, 64, 58] Generated Node #0,1: 23:[4, 64, 58] Operation: 68-10=58 Exploring Operation: 64/4=16, Resulting Numbers: [68, 10, 16] Generated Node #0,2: 23:[68, 10, 16] Operation: 64/4=16 Exploring Operation: 68-64=4, Resulting Numbers: [10, 4, 4] Generated Node #0,3: 23:[10, 4, 4] Operation: 68-64=4 Start Sub Search at level 1: Moving to Node #0,3 Current State: 23:[10, 4, 4], Operations: ['68-64=4'] Exploring Operation: 4+4=8, Resulting Numbers: [10, 8] Generated Node #0,3,0: 23:[10, 8] Operation: 4+4=8 Exploring Operation: 10+4=14, Resulting Numbers: [4, 14] Generated Node #0,3,1: 23:[4, 14] Operation: 10+4=14 Exploring Operation: 10+4=14, Resulting Numbers: [4, 14] Generated Node #0,3,2: 23:[4, 14] Operation: 10+4=14 Exploring Operation: 4*4=16, Resulting Numbers: [10, 16] Generated Node #0,3,3: 23:[10, 16] Operation: 4*4=16 Moving to Node #0,3,3 Current State: 23:[10, 16], Operations: ['68-64=4', '4*4=16'] Exploring Operation: 10*16=160, Resulting Numbers: [160] 160,23 unequal: No Solution Exploring Operation: 16-10=6, Resulting Numbers: [6] 6,23 unequal: No Solution Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,23 unequal: No Solution Moving to Node #0,3,1 Current State: 23:[4, 14], Operations: ['68-64=4', '10+4=14'] Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,23 unequal: No Solution Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,23 unequal: No Solution Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,23 unequal: No Solution Moving to Node #0,3,0 Current State: 23:[10, 8], Operations: ['68-64=4', '4+4=8'] Exploring Operation: 10+8=18, Resulting Numbers: [18] 18,23 unequal: No Solution Exploring Operation: 10-8=2, Resulting Numbers: [2] 2,23 unequal: No Solution Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,23 unequal: No Solution Moving to Node #0,3,2 Current State: 23:[4, 14], Operations: ['68-64=4', '10+4=14'] Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,23 unequal: No Solution Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,23 unequal: No Solution Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 23:[10, 64, 17], Operations: ['68/4=17'] Exploring Operation: 10+17=27, Resulting Numbers: [64, 27] Generated Node #0,0,0: 23:[64, 27] Operation: 10+17=27 Exploring Operation: 64-17=47, Resulting Numbers: [10, 47] Generated Node #0,0,1: 23:[10, 47] Operation: 64-17=47 Exploring Operation: 10+64=74, Resulting Numbers: [17, 74] Generated Node #0,0,2: 23:[17, 74] Operation: 10+64=74 Exploring Operation: 64-10=54, Resulting Numbers: [17, 54] Generated Node #0,0,3: 23:[17, 54] Operation: 64-10=54 Moving to Node #0,0,1 Current State: 23:[10, 47], Operations: ['68/4=17', '64-17=47'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,23 unequal: No Solution Exploring Operation: 10+47=57, Resulting Numbers: [57] 57,23 unequal: No Solution Exploring Operation: 10*47=470, Resulting Numbers: [470] 470,23 unequal: No Solution Moving to Node #0,0,3 Current State: 23:[17, 54], Operations: ['68/4=17', '64-10=54'] Exploring Operation: 17*54=918, Resulting Numbers: [918] 918,23 unequal: No Solution Exploring Operation: 17+54=71, Resulting Numbers: [71] 71,23 unequal: No Solution Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,23 unequal: No Solution Moving to Node #0,0,0 Current State: 23:[64, 27], Operations: ['68/4=17', '10+17=27'] Exploring Operation: 64-27=37, Resulting Numbers: [37] 37,23 unequal: No Solution Exploring Operation: 64*27=1728, Resulting Numbers: [1728] 1728,23 unequal: No Solution Exploring Operation: 64+27=91, Resulting Numbers: [91] 91,23 unequal: No Solution Moving to Node #0,0,2 Current State: 23:[17, 74], Operations: ['68/4=17', '10+64=74'] Exploring Operation: 74-17=57, Resulting Numbers: [57] 57,23 unequal: No Solution Exploring Operation: 17+74=91, Resulting Numbers: [91] 91,23 unequal: No Solution Exploring Operation: 17*74=1258, Resulting Numbers: [1258] 1258,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 23:[68, 10, 16], Operations: ['64/4=16'] Exploring Operation: 68-10=58, Resulting Numbers: [16, 58] Generated Node #0,2,0: 23:[16, 58] Operation: 68-10=58 Exploring Operation: 68+10=78, Resulting Numbers: [16, 78] Generated Node #0,2,1: 23:[16, 78] Operation: 68+10=78 Exploring Operation: 10+16=26, Resulting Numbers: [68, 26] Generated Node #0,2,2: 23:[68, 26] Operation: 10+16=26 Exploring Operation: 68-16=52, Resulting Numbers: [10, 52] Generated Node #0,2,3: 23:[10, 52] Operation: 68-16=52 Moving to Node #0,2,0 Current State: 23:[16, 58], Operations: ['64/4=16', '68-10=58'] Exploring Operation: 16*58=928, Resulting Numbers: [928] 928,23 unequal: No Solution Exploring Operation: 16+58=74, Resulting Numbers: [74] 74,23 unequal: No Solution Exploring Operation: 58-16=42, Resulting Numbers: [42] 42,23 unequal: No Solution Moving to Node #0,2,3 Current State: 23:[10, 52], Operations: ['64/4=16', '68-16=52'] Exploring Operation: 10*52=520, Resulting Numbers: [520] 520,23 unequal: No Solution Exploring Operation: 10+52=62, Resulting Numbers: [62] 62,23 unequal: No Solution Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,23 unequal: No Solution Moving to Node #0,2,2 Current State: 23:[68, 26], Operations: ['64/4=16', '10+16=26'] Exploring Operation: 68*26=1768, Resulting Numbers: [1768] 1768,23 unequal: No Solution Exploring Operation: 68-26=42, Resulting Numbers: [42] 42,23 unequal: No Solution Exploring Operation: 68+26=94, Resulting Numbers: [94] 94,23 unequal: No Solution Moving to Node #0,2,1 Current State: 23:[16, 78], Operations: ['64/4=16', '68+10=78'] Exploring Operation: 16+78=94, Resulting Numbers: [94] 94,23 unequal: No Solution Exploring Operation: 78-16=62, Resulting Numbers: [62] 62,23 unequal: No Solution Exploring Operation: 16*78=1248, Resulting Numbers: [1248] 1248,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 23:[4, 64, 58], Operations: ['68-10=58'] Exploring Operation: 64-58=6, Resulting Numbers: [4, 6] Generated Node #0,1,0: 23:[4, 6] Operation: 64-58=6 Exploring Operation: 58-4=54, Resulting Numbers: [64, 54] Generated Node #0,1,1: 23:[64, 54] Operation: 58-4=54 Exploring Operation: 64-4=60, Resulting Numbers: [58, 60] Generated Node #0,1,2: 23:[58, 60] Operation: 64-4=60 Exploring Operation: 64/4=16, Resulting Numbers: [58, 16] Generated Node #0,1,3: 23:[58, 16] Operation: 64/4=16 Moving to Node #0,1,0 Current State: 23:[4, 6], Operations: ['68-10=58', '64-58=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,23 unequal: No Solution Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,23 unequal: No Solution Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,23 unequal: No Solution Moving to Node #0,1,3 Current State: 23:[58, 16], Operations: ['68-10=58', '64/4=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,23 unequal: No Solution Exploring Operation: 58*16=928, Resulting Numbers: [928] 928,23 unequal: No Solution Exploring Operation: 58-16=42, Resulting Numbers: [42] 42,23 unequal: No Solution Moving to Node #0,1,2 Current State: 23:[58, 60], Operations: ['68-10=58', '64-4=60'] Exploring Operation: 60-58=2, Resulting Numbers: [2] 2,23 unequal: No Solution Exploring Operation: 58+60=118, Resulting Numbers: [118] 118,23 unequal: No Solution Exploring Operation: 58*60=3480, Resulting Numbers: [3480] 3480,23 unequal: No Solution Moving to Node #0,1,1 Current State: 23:[64, 54], Operations: ['68-10=58', '58-4=54'] Exploring Operation: 64-54=10, Resulting Numbers: [10] 10,23 unequal: No Solution Exploring Operation: 64*54=3456, Resulting Numbers: [3456] 3456,23 unequal: No Solution Exploring Operation: 64+54=118, Resulting Numbers: [118] 118,23 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
[ 50, 2, 46, 28 ]
60
[ "50-46=4", "2*28=56", "4+56=60" ]
Current State: 60:[50, 2, 46, 28], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [2, 28, 4] Generated Node #2: [2, 28, 4] from Operation: 50-46=4 Current State: 60:[2, 28, 4], Operations: ['50-46=4'] Exploring Operation: 2*28=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 2*28=56 Current State: 60:[4, 56], Operations: ['50-46=4', '2*28=56'] Exploring Operation: 4+56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[50, 2, 46, 28], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [2, 28, 4] Generated Node #0,0: 60:[2, 28, 4] Operation: 50-46=4 Moving to Node #0,0 Current State: 60:[2, 28, 4], Operations: ['50-46=4'] Exploring Operation: 2+28=30, Resulting Numbers: [4, 30] Generated Node #0,0,0: 60:[4, 30] Operation: 2+28=30 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 60:[4, 30], Operations: ['50-46=4', '2+28=30'] Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,60 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
[ 77, 90, 95, 45 ]
20
[ "95-77=18", "90/45=2", "18+2=20" ]
Current State: 20:[77, 90, 95, 45], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [90, 45, 18] Generated Node #2: [90, 45, 18] from Operation: 95-77=18 Current State: 20:[90, 45, 18], Operations: ['95-77=18'] Exploring Operation: 90/45=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 90/45=2 Current State: 20:[18, 2], Operations: ['95-77=18', '90/45=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
Current State: 20:[77, 90, 95, 45], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [77, 45, 5] Generated Node #0,0: 20:[77, 45, 5] Operation: 95-90=5 Exploring Operation: 77-45=32, Resulting Numbers: [90, 95, 32] Generated Node #0,1: 20:[90, 95, 32] Operation: 77-45=32 Exploring Operation: 95-77=18, Resulting Numbers: [90, 45, 18] Generated Node #0,2: 20:[90, 45, 18] Operation: 95-77=18 Exploring Operation: 90-77=13, Resulting Numbers: [95, 45, 13] Generated Node #0,3: 20:[95, 45, 13] Operation: 90-77=13 Exploring Operation: 90/45=2, Resulting Numbers: [77, 95, 2] Generated Node #0,4: 20:[77, 95, 2] Operation: 90/45=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 20:[77, 45, 5], Operations: ['95-90=5'] Exploring Operation: 77-5=72, Resulting Numbers: [45, 72] Generated Node #0,0,0: 20:[45, 72] Operation: 77-5=72 Exploring Operation: 77-45=32, Resulting Numbers: [5, 32] Generated Node #0,0,1: 20:[5, 32] Operation: 77-45=32 Exploring Operation: 45-5=40, Resulting Numbers: [77, 40] Generated Node #0,0,2: 20:[77, 40] Operation: 45-5=40 Exploring Operation: 77+5=82, Resulting Numbers: [45, 82] Generated Node #0,0,3: 20:[45, 82] Operation: 77+5=82 Exploring Operation: 45/5=9, Resulting Numbers: [77, 9] Generated Node #0,0,4: 20:[77, 9] Operation: 45/5=9 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 20:[5, 32], Operations: ['95-90=5', '77-45=32'] Exploring Operation: 5*32=160, Resulting Numbers: [160] 160,20 unequal: No Solution Exploring Operation: 5+32=37, Resulting Numbers: [37] 37,20 unequal: No Solution Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 20:[77, 9], Operations: ['95-90=5', '45/5=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,20 unequal: No Solution Exploring Operation: 77*9=693, Resulting Numbers: [693] 693,20 unequal: No Solution Exploring Operation: 77-9=68, Resulting Numbers: [68] 68,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 20:[45, 72], Operations: ['95-90=5', '77-5=72'] Exploring Operation: 45*72=3240, Resulting Numbers: [3240] 3240,20 unequal: No Solution Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,20 unequal: No Solution Exploring Operation: 45+72=117, Resulting Numbers: [117] 117,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 20:[77, 40], Operations: ['95-90=5', '45-5=40'] Exploring Operation: 77*40=3080, Resulting Numbers: [3080] 3080,20 unequal: No Solution Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,20 unequal: No Solution Exploring Operation: 77+40=117, Resulting Numbers: [117] 117,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 20:[45, 82], Operations: ['95-90=5', '77+5=82'] Exploring Operation: 45*82=3690, Resulting Numbers: [3690] 3690,20 unequal: No Solution Exploring Operation: 45+82=127, Resulting Numbers: [127] 127,20 unequal: No Solution Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 20:[90, 45, 18], Operations: ['95-77=18'] Exploring Operation: 90-18=72, Resulting Numbers: [45, 72] Generated Node #0,2,0: 20:[45, 72] Operation: 90-18=72 Exploring Operation: 45-18=27, Resulting Numbers: [90, 27] Generated Node #0,2,1: 20:[90, 27] Operation: 45-18=27 Exploring Operation: 90/18=5, Resulting Numbers: [45, 5] Generated Node #0,2,2: 20:[45, 5] Operation: 90/18=5 Exploring Operation: 90-45=45, Resulting Numbers: [18, 45] Generated Node #0,2,3: 20:[18, 45] Operation: 90-45=45 Exploring Operation: 90/45=2, Resulting Numbers: [18, 2] Generated Node #0,2,4: 20:[18, 2] Operation: 90/45=2 Moving to Node #0,2,4 Current State: 20:[18, 2], Operations: ['95-77=18', '90/45=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,20 unequal: No Solution Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,20 unequal: No Solution Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,20 unequal: No Solution Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Moving to Node #0 Current State: 20:[77, 90, 95, 45], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [90, 45, 18] Generated Node #0,2: 20:[90, 45, 18] Operation: 95-77=18 Moving to Node #0,2 Current State: 20:[90, 45, 18], Operations: ['95-77=18'] Exploring Operation: 90/45=2, Resulting Numbers: [18, 2] Generated Node #0,2,4: 20:[18, 2] Operation: 90/45=2 Moving to Node #0,2,4 Current State: 20:[18, 2], Operations: ['95-77=18', '90/45=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Exit Sub Search at level 1
0.967014
hs_5
sum_heuristic
[ 3, 41, 84, 31 ]
77
[ "41-3=38", "84+31=115", "115-38=77" ]
Current State: 77:[3, 41, 84, 31], Operations: [] Exploring Operation: 41-3=38, Resulting Numbers: [84, 31, 38] Generated Node #2: [84, 31, 38] from Operation: 41-3=38 Current State: 77:[84, 31, 38], Operations: ['41-3=38'] Exploring Operation: 84+31=115, Resulting Numbers: [38, 115] Generated Node #3: [38, 115] from Operation: 84+31=115 Current State: 77:[38, 115], Operations: ['41-3=38', '84+31=115'] Exploring Operation: 115-38=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[3, 41, 84, 31], Operations: [] Exploring Operation: 41+31=72, Resulting Numbers: [3, 84, 72] Generated Node #0,0: 77:[3, 84, 72] Operation: 41+31=72 Exploring Operation: 41-31=10, Resulting Numbers: [3, 84, 10] Generated Node #0,1: 77:[3, 84, 10] Operation: 41-31=10 Exploring Operation: 3*31=93, Resulting Numbers: [41, 84, 93] Generated Node #0,2: 77:[41, 84, 93] Operation: 3*31=93 Exploring Operation: 41-3=38, Resulting Numbers: [84, 31, 38] Generated Node #0,3: 77:[84, 31, 38] Operation: 41-3=38 Moving to Node #0,1 Current State: 77:[3, 84, 10], Operations: ['41-31=10'] Exploring Operation: 10-3=7, Resulting Numbers: [84, 7] Generated Node #0,1,0: 77:[84, 7] Operation: 10-3=7 Exploring Operation: 84-3=81, Resulting Numbers: [10, 81] Generated Node #0,1,1: 77:[10, 81] Operation: 84-3=81 Exploring Operation: 3+10=13, Resulting Numbers: [84, 13] Generated Node #0,1,2: 77:[84, 13] Operation: 3+10=13 Exploring Operation: 84-10=74, Resulting Numbers: [3, 74] Generated Node #0,1,3: 77:[3, 74] Operation: 84-10=74 Moving to Node #0,0 Current State: 77:[3, 84, 72], Operations: ['41+31=72'] Exploring Operation: 3+84=87, Resulting Numbers: [72, 87] Generated Node #0,0,0: 77:[72, 87] Operation: 3+84=87 Exploring Operation: 84-3=81, Resulting Numbers: [72, 81] Generated Node #0,0,1: 77:[72, 81] Operation: 84-3=81 Exploring Operation: 3+72=75, Resulting Numbers: [84, 75] Generated Node #0,0,2: 77:[84, 75] Operation: 3+72=75 Exploring Operation: 84-72=12, Resulting Numbers: [3, 12] Generated Node #0,0,3: 77:[3, 12] Operation: 84-72=12 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 77:[3, 12], Operations: ['41+31=72', '84-72=12'] Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,77 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,77 unequal: No Solution Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,77 unequal: No Solution Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,77 unequal: No Solution No 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: 77:[72, 81], Operations: ['41+31=72', '84-3=81'] Exploring Operation: 72*81=5832, Resulting Numbers: [5832] 5832,77 unequal: No Solution Exploring Operation: 72+81=153, Resulting Numbers: [153] 153,77 unequal: No Solution Exploring Operation: 81-72=9, Resulting Numbers: [9] 9,77 unequal: No Solution No 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: 77:[84, 75], Operations: ['41+31=72', '3+72=75'] Exploring Operation: 84+75=159, Resulting Numbers: [159] 159,77 unequal: No Solution Exploring Operation: 84-75=9, Resulting Numbers: [9] 9,77 unequal: No Solution Exploring Operation: 84*75=6300, Resulting Numbers: [6300] 6300,77 unequal: No Solution No 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: 77:[72, 87], Operations: ['41+31=72', '3+84=87'] Exploring Operation: 72*87=6264, Resulting Numbers: [6264] 6264,77 unequal: No Solution Exploring Operation: 87-72=15, Resulting Numbers: [15] 15,77 unequal: No Solution Exploring Operation: 72+87=159, Resulting Numbers: [159] 159,77 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: 77:[41, 84, 93], Operations: ['3*31=93'] Exploring Operation: 93-41=52, Resulting Numbers: [84, 52] Generated Node #0,2,0: 77:[84, 52] Operation: 93-41=52 Exploring Operation: 93-84=9, Resulting Numbers: [41, 9] Generated Node #0,2,1: 77:[41, 9] Operation: 93-84=9 Exploring Operation: 41+84=125, Resulting Numbers: [93, 125] Generated Node #0,2,2: 77:[93, 125] Operation: 41+84=125 Exploring Operation: 84-41=43, Resulting Numbers: [93, 43] Generated Node #0,2,3: 77:[93, 43] Operation: 84-41=43 Moving to Node #0,3 Current State: 77:[84, 31, 38], Operations: ['41-3=38'] Exploring Operation: 38-31=7, Resulting Numbers: [84, 7] Generated Node #0,3,0: 77:[84, 7] Operation: 38-31=7 Exploring Operation: 84-38=46, Resulting Numbers: [31, 46] Generated Node #0,3,1: 77:[31, 46] Operation: 84-38=46 Exploring Operation: 84-31=53, Resulting Numbers: [38, 53] Generated Node #0,3,2: 77:[38, 53] Operation: 84-31=53 Exploring Operation: 31+38=69, Resulting Numbers: [84, 69] Generated Node #0,3,3: 77:[84, 69] Operation: 31+38=69 Moving to Node #0,1,1 Current State: 77:[10, 81], Operations: ['41-31=10', '84-3=81'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,77 unequal: No Solution Exploring Operation: 10+81=91, Resulting Numbers: [91] 91,77 unequal: No Solution Exploring Operation: 10*81=810, Resulting Numbers: [810] 810,77 unequal: No Solution Moving to Node #0,1,3 Current State: 77:[3, 74], Operations: ['41-31=10', '84-10=74'] Exploring Operation: 3*74=222, Resulting Numbers: [222] 222,77 unequal: No Solution Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,77 unequal: No Solution Exploring Operation: 3+74=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[3, 41, 84, 31], Operations: [] Exploring Operation: 41-31=10, Resulting Numbers: [3, 84, 10] Generated Node #0,1: 77:[3, 84, 10] Operation: 41-31=10 Moving to Node #0,1 Current State: 77:[3, 84, 10], Operations: ['41-31=10'] Exploring Operation: 84-10=74, Resulting Numbers: [3, 74] Generated Node #0,1,3: 77:[3, 74] Operation: 84-10=74 Moving to Node #0,1,3 Current State: 77:[3, 74], Operations: ['41-31=10', '84-10=74'] Exploring Operation: 3+74=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
0.962674
hs_4
sum_heuristic
[ 66, 36, 63, 9 ]
24
[ "66-36=30", "63-9=54", "54-30=24" ]
Current State: 24:[66, 36, 63, 9], Operations: [] Exploring Operation: 66-36=30, Resulting Numbers: [63, 9, 30] Generated Node #2: [63, 9, 30] from Operation: 66-36=30 Current State: 24:[63, 9, 30], Operations: ['66-36=30'] Exploring Operation: 63-9=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 63-9=54 Current State: 24:[30, 54], Operations: ['66-36=30', '63-9=54'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[66, 36, 63, 9], Operations: [] Exploring Operation: 63-36=27, Resulting Numbers: [66, 9, 27] Generated Node #0,0: 24:[66, 9, 27] Operation: 63-36=27 Exploring Operation: 63/9=7, Resulting Numbers: [66, 36, 7] Generated Node #0,1: 24:[66, 36, 7] Operation: 63/9=7 Exploring Operation: 66-63=3, Resulting Numbers: [36, 9, 3] Generated Node #0,2: 24:[36, 9, 3] Operation: 66-63=3 Exploring Operation: 36/9=4, Resulting Numbers: [66, 63, 4] Generated Node #0,3: 24:[66, 63, 4] Operation: 36/9=4 Exploring Operation: 66-36=30, Resulting Numbers: [63, 9, 30] Generated Node #0,4: 24:[63, 9, 30] Operation: 66-36=30 Start Sub Search at level 1: Moving to Node #0,2 Current State: 24:[36, 9, 3], Operations: ['66-63=3'] Exploring Operation: 36-9=27, Resulting Numbers: [3, 27] Generated Node #0,2,0: 24:[3, 27] Operation: 36-9=27 Exploring Operation: 36/9=4, Resulting Numbers: [3, 4] Generated Node #0,2,1: 24:[3, 4] Operation: 36/9=4 Exploring Operation: 36/3=12, Resulting Numbers: [9, 12] Generated Node #0,2,2: 24:[9, 12] Operation: 36/3=12 Exploring Operation: 9+3=12, Resulting Numbers: [36, 12] Generated Node #0,2,3: 24:[36, 12] Operation: 9+3=12 Exploring Operation: 36-3=33, Resulting Numbers: [9, 33] Generated Node #0,2,4: 24:[9, 33] Operation: 36-3=33 Moving to Node #0,2,1 Current State: 24:[3, 4], Operations: ['66-63=3', '36/9=4'] Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,24 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,24 unequal: No Solution Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,24 unequal: No Solution Moving to Node #0,2,2 Current State: 24:[9, 12], Operations: ['66-63=3', '36/3=12'] Exploring Operation: 9*12=108, Resulting Numbers: [108] 108,24 unequal: No Solution Exploring Operation: 9+12=21, Resulting Numbers: [21] 21,24 unequal: No Solution Exploring Operation: 12-9=3, Resulting Numbers: [3] 3,24 unequal: No Solution Moving to Node #0,2,0 Current State: 24:[3, 27], Operations: ['66-63=3', '36-9=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,24 unequal: No Solution Exploring Operation: 3+27=30, Resulting Numbers: [30] 30,24 unequal: No Solution Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,24 unequal: No Solution Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[66, 36, 63, 9], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [36, 9, 3] Generated Node #0,2: 24:[36, 9, 3] Operation: 66-63=3 Moving to Node #0,2 Current State: 24:[36, 9, 3], Operations: ['66-63=3'] Exploring Operation: 36-9=27, Resulting Numbers: [3, 27] Generated Node #0,2,0: 24:[3, 27] Operation: 36-9=27 Moving to Node #0,2,0 Current State: 24:[3, 27], Operations: ['66-63=3', '36-9=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_5
sum_heuristic
[ 2, 1, 19, 81 ]
43
[ "2*1=2", "19*2=38", "81-38=43" ]
Current State: 43:[2, 1, 19, 81], Operations: [] Exploring Operation: 2*1=2, Resulting Numbers: [19, 81, 2] Generated Node #2: [19, 81, 2] from Operation: 2*1=2 Current State: 43:[19, 81, 2], Operations: ['2*1=2'] Exploring Operation: 19*2=38, Resulting Numbers: [81, 38] Generated Node #3: [81, 38] from Operation: 19*2=38 Current State: 43:[81, 38], Operations: ['2*1=2', '19*2=38'] Exploring Operation: 81-38=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[2, 1, 19, 81], Operations: [] Exploring Operation: 2*19=38, Resulting Numbers: [1, 81, 38] Generated Node #0,0: 43:[1, 81, 38] Operation: 2*19=38 Exploring Operation: 2+1=3, Resulting Numbers: [19, 81, 3] Generated Node #0,1: 43:[19, 81, 3] Operation: 2+1=3 Exploring Operation: 2+19=21, Resulting Numbers: [1, 81, 21] Generated Node #0,2: 43:[1, 81, 21] Operation: 2+19=21 Exploring Operation: 81-2=79, Resulting Numbers: [1, 19, 79] Generated Node #0,3: 43:[1, 19, 79] Operation: 81-2=79 Moving to Node #0,0 Current State: 43:[1, 81, 38], Operations: ['2*19=38'] Exploring Operation: 1+38=39, Resulting Numbers: [81, 39] Generated Node #0,0,0: 43:[81, 39] Operation: 1+38=39 Exploring Operation: 81-1=80, Resulting Numbers: [38, 80] Generated Node #0,0,1: 43:[38, 80] Operation: 81-1=80 Exploring Operation: 1*81=81, Resulting Numbers: [38, 81] Generated Node #0,0,2: 43:[38, 81] Operation: 1*81=81 Exploring Operation: 81-38=43, Resulting Numbers: [1, 43] Generated Node #0,0,3: 43:[1, 43] Operation: 81-38=43 Moving to Node #0,2 Current State: 43:[1, 81, 21], Operations: ['2+19=21'] Exploring Operation: 1*81=81, Resulting Numbers: [21, 81] Generated Node #0,2,0: 43:[21, 81] Operation: 1*81=81 Exploring Operation: 81-21=60, Resulting Numbers: [1, 60] Generated Node #0,2,1: 43:[1, 60] Operation: 81-21=60 Exploring Operation: 1+21=22, Resulting Numbers: [81, 22] Generated Node #0,2,2: 43:[81, 22] Operation: 1+21=22 Exploring Operation: 81-1=80, Resulting Numbers: [21, 80] Generated Node #0,2,3: 43:[21, 80] Operation: 81-1=80 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 43:[1, 60], Operations: ['2+19=21', '81-21=60'] Exploring Operation: 1+60=61, Resulting Numbers: [61] 61,43 unequal: No Solution Exploring Operation: 60/1=60, Resulting Numbers: [60] 60,43 unequal: No Solution Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,43 unequal: No Solution Exploring Operation: 1*60=60, Resulting Numbers: [60] 60,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 43:[81, 22], Operations: ['2+19=21', '1+21=22'] Exploring Operation: 81-22=59, Resulting Numbers: [59] 59,43 unequal: No Solution Exploring Operation: 81*22=1782, Resulting Numbers: [1782] 1782,43 unequal: No Solution Exploring Operation: 81+22=103, Resulting Numbers: [103] 103,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 43:[21, 80], Operations: ['2+19=21', '81-1=80'] Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,43 unequal: No Solution Exploring Operation: 21+80=101, Resulting Numbers: [101] 101,43 unequal: No Solution Exploring Operation: 21*80=1680, Resulting Numbers: [1680] 1680,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 43:[21, 81], Operations: ['2+19=21', '1*81=81'] Exploring Operation: 21*81=1701, Resulting Numbers: [1701] 1701,43 unequal: No Solution Exploring Operation: 21+81=102, Resulting Numbers: [102] 102,43 unequal: No Solution Exploring Operation: 81-21=60, Resulting Numbers: [60] 60,43 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: 43:[19, 81, 3], Operations: ['2+1=3'] Exploring Operation: 19+3=22, Resulting Numbers: [81, 22] Generated Node #0,1,0: 43:[81, 22] Operation: 19+3=22 Exploring Operation: 81/3=27, Resulting Numbers: [19, 27] Generated Node #0,1,1: 43:[19, 27] Operation: 81/3=27 Exploring Operation: 81-19=62, Resulting Numbers: [3, 62] Generated Node #0,1,2: 43:[3, 62] Operation: 81-19=62 Exploring Operation: 19*3=57, Resulting Numbers: [81, 57] Generated Node #0,1,3: 43:[81, 57] Operation: 19*3=57 Moving to Node #0,3 Current State: 43:[1, 19, 79], Operations: ['81-2=79'] Exploring Operation: 79-1=78, Resulting Numbers: [19, 78] Generated Node #0,3,0: 43:[19, 78] Operation: 79-1=78 Exploring Operation: 1*19=19, Resulting Numbers: [79, 19] Generated Node #0,3,1: 43:[79, 19] Operation: 1*19=19 Exploring Operation: 1+19=20, Resulting Numbers: [79, 20] Generated Node #0,3,2: 43:[79, 20] Operation: 1+19=20 Exploring Operation: 79-19=60, Resulting Numbers: [1, 60] Generated Node #0,3,3: 43:[1, 60] Operation: 79-19=60 Moving to Node #0,1,1 Current State: 43:[19, 27], Operations: ['2+1=3', '81/3=27'] Exploring Operation: 19*27=513, Resulting Numbers: [513] 513,43 unequal: No Solution Exploring Operation: 27-19=8, Resulting Numbers: [8] 8,43 unequal: No Solution Exploring Operation: 19+27=46, Resulting Numbers: [46] 46,43 unequal: No Solution Moving to Node #0,0,3 Current State: 43:[1, 43], Operations: ['2*19=38', '81-38=43'] Exploring Operation: 1+43=44, Resulting Numbers: [44] 44,43 unequal: No Solution Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,43 unequal: No Solution Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[2, 1, 19, 81], Operations: [] Exploring Operation: 2*19=38, Resulting Numbers: [1, 81, 38] Generated Node #0,0: 43:[1, 81, 38] Operation: 2*19=38 Moving to Node #0,0 Current State: 43:[1, 81, 38], Operations: ['2*19=38'] Exploring Operation: 81-38=43, Resulting Numbers: [1, 43] Generated Node #0,0,3: 43:[1, 43] Operation: 81-38=43 Moving to Node #0,0,3 Current State: 43:[1, 43], Operations: ['2*19=38', '81-38=43'] Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
0.962674
hs_4
mult_heuristic
[ 2, 2, 22, 23 ]
11
[ "2+22=24", "24/2=12", "23-12=11" ]
Current State: 11:[2, 2, 22, 23], Operations: [] Exploring Operation: 2+22=24, Resulting Numbers: [23, 24] Generated Node #2: [23, 24] from Operation: 2+22=24 Current State: 11:[23, 24], Operations: ['2+22=24'] Exploring Operation: 24/2=12, Resulting Numbers: [23, 12] Generated Node #3: [23, 12] from Operation: 24/2=12 Current State: 11:[23, 12], Operations: ['2+22=24', '24/2=12'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[2, 2, 22, 23], Operations: [] Exploring Operation: 2+2=4, Resulting Numbers: [22, 23, 4] Generated Node #0,0: 11:[22, 23, 4] Operation: 2+2=4 Exploring Operation: 22/2=11, Resulting Numbers: [2, 23, 11] Generated Node #0,1: 11:[2, 23, 11] Operation: 22/2=11 Exploring Operation: 22/2=11, Resulting Numbers: [2, 23, 11] Generated Node #0,2: 11:[2, 23, 11] Operation: 22/2=11 Exploring Operation: 23-22=1, Resulting Numbers: [2, 2, 1] Generated Node #0,3: 11:[2, 2, 1] Operation: 23-22=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 11:[2, 23, 11], Operations: ['22/2=11'] Exploring Operation: 2+23=25, Resulting Numbers: [11, 25] Generated Node #0,1,0: 11:[11, 25] Operation: 2+23=25 Exploring Operation: 23-11=12, Resulting Numbers: [2, 12] Generated Node #0,1,1: 11:[2, 12] Operation: 23-11=12 Exploring Operation: 23-2=21, Resulting Numbers: [11, 21] Generated Node #0,1,2: 11:[11, 21] Operation: 23-2=21 Exploring Operation: 2+11=13, Resulting Numbers: [23, 13] Generated Node #0,1,3: 11:[23, 13] Operation: 2+11=13 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 11:[2, 12], Operations: ['22/2=11', '23-11=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,11 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,11 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,11 unequal: No Solution Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,11 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: 11:[11, 21], Operations: ['22/2=11', '23-2=21'] Exploring Operation: 11+21=32, Resulting Numbers: [32] 32,11 unequal: No Solution Exploring Operation: 11*21=231, Resulting Numbers: [231] 231,11 unequal: No Solution Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,11 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: 11:[11, 25], Operations: ['22/2=11', '2+23=25'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,11 unequal: No Solution Exploring Operation: 11*25=275, Resulting Numbers: [275] 275,11 unequal: No Solution Exploring Operation: 11+25=36, Resulting Numbers: [36] 36,11 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: 11:[23, 13], Operations: ['22/2=11', '2+11=13'] Exploring Operation: 23-13=10, Resulting Numbers: [10] 10,11 unequal: No Solution Exploring Operation: 23*13=299, Resulting Numbers: [299] 299,11 unequal: No Solution Exploring Operation: 23+13=36, Resulting Numbers: [36] 36,11 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: 11:[2, 23, 11], Operations: ['22/2=11'] Exploring Operation: 23-11=12, Resulting Numbers: [2, 12] Generated Node #0,2,0: 11:[2, 12] Operation: 23-11=12 Exploring Operation: 2+11=13, Resulting Numbers: [23, 13] Generated Node #0,2,1: 11:[23, 13] Operation: 2+11=13 Exploring Operation: 2+23=25, Resulting Numbers: [11, 25] Generated Node #0,2,2: 11:[11, 25] Operation: 2+23=25 Exploring Operation: 23-2=21, Resulting Numbers: [11, 21] Generated Node #0,2,3: 11:[11, 21] Operation: 23-2=21 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 11:[2, 12], Operations: ['22/2=11', '23-11=12'] Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,11 unequal: No Solution Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,11 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,11 unequal: No Solution Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,11 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: 11:[11, 21], Operations: ['22/2=11', '23-2=21'] Exploring Operation: 11+21=32, Resulting Numbers: [32] 32,11 unequal: No Solution Exploring Operation: 11*21=231, Resulting Numbers: [231] 231,11 unequal: No Solution Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,11 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: 11:[23, 13], Operations: ['22/2=11', '2+11=13'] Exploring Operation: 23+13=36, Resulting Numbers: [36] 36,11 unequal: No Solution Exploring Operation: 23-13=10, Resulting Numbers: [10] 10,11 unequal: No Solution Exploring Operation: 23*13=299, Resulting Numbers: [299] 299,11 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: 11:[11, 25], Operations: ['22/2=11', '2+23=25'] Exploring Operation: 11+25=36, Resulting Numbers: [36] 36,11 unequal: No Solution Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,11 unequal: No Solution Exploring Operation: 11*25=275, Resulting Numbers: [275] 275,11 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: 11:[2, 2, 1], Operations: ['23-22=1'] Exploring Operation: 2+2=4, Resulting Numbers: [1, 4] Generated Node #0,3,0: 11:[1, 4] Operation: 2+2=4 Exploring Operation: 2*2=4, Resulting Numbers: [1, 4] Generated Node #0,3,1: 11:[1, 4] Operation: 2*2=4 Exploring Operation: 2+1=3, Resulting Numbers: [2, 3] Generated Node #0,3,2: 11:[2, 3] Operation: 2+1=3 Exploring Operation: 2+1=3, Resulting Numbers: [2, 3] Generated Node #0,3,3: 11:[2, 3] Operation: 2+1=3 Moving to Node #0,3,0 Current State: 11:[1, 4], Operations: ['23-22=1', '2+2=4'] Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,11 unequal: No Solution Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,11 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 1*4=4, Resulting Numbers: [4] 4,11 unequal: No Solution Moving to Node #0,3,2 Current State: 11:[2, 3], Operations: ['23-22=1', '2+1=3'] Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,11 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,11 unequal: No Solution Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,11 unequal: No Solution Moving to Node #0,3,1 Current State: 11:[1, 4], Operations: ['23-22=1', '2*2=4'] Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,11 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 1*4=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,11 unequal: No Solution Moving to Node #0,3,3 Current State: 11:[2, 3], Operations: ['23-22=1', '2+1=3'] Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,11 unequal: No Solution Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,11 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,11 unequal: No Solution No 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: 11:[22, 23, 4], Operations: ['2+2=4'] Exploring Operation: 23-4=19, Resulting Numbers: [22, 19] Generated Node #0,0,0: 11:[22, 19] Operation: 23-4=19 Exploring Operation: 23-22=1, Resulting Numbers: [4, 1] Generated Node #0,0,1: 11:[4, 1] Operation: 23-22=1 Exploring Operation: 22-4=18, Resulting Numbers: [23, 18] Generated Node #0,0,2: 11:[23, 18] Operation: 22-4=18 Exploring Operation: 22+4=26, Resulting Numbers: [23, 26] Generated Node #0,0,3: 11:[23, 26] Operation: 22+4=26 Moving to Node #0,0,1 Current State: 11:[4, 1], Operations: ['2+2=4', '23-22=1'] Exploring Operation: 4*1=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,11 unequal: No Solution Exploring Operation: 4+1=5, Resulting Numbers: [5] 5,11 unequal: No Solution Moving to Node #0,0,2 Current State: 11:[23, 18], Operations: ['2+2=4', '22-4=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,11 unequal: No Solution Exploring Operation: 23-18=5, Resulting Numbers: [5] 5,11 unequal: No Solution Exploring Operation: 23*18=414, Resulting Numbers: [414] 414,11 unequal: No Solution Moving to Node #0,0,0 Current State: 11:[22, 19], Operations: ['2+2=4', '23-4=19'] Exploring Operation: 22*19=418, Resulting Numbers: [418] 418,11 unequal: No Solution Exploring Operation: 22+19=41, Resulting Numbers: [41] 41,11 unequal: No Solution Exploring Operation: 22-19=3, Resulting Numbers: [3] 3,11 unequal: No Solution Moving to Node #0,0,3 Current State: 11:[23, 26], Operations: ['2+2=4', '22+4=26'] Exploring Operation: 23*26=598, Resulting Numbers: [598] 598,11 unequal: No Solution Exploring Operation: 23+26=49, Resulting Numbers: [49] 49,11 unequal: No Solution Exploring Operation: 26-23=3, Resulting Numbers: [3] 3,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 2, 23, 17, 33 ]
44
[ "2*17=34", "33-23=10", "34+10=44" ]
Current State: 44:[2, 23, 17, 33], Operations: [] Exploring Operation: 2*17=34, Resulting Numbers: [23, 33, 34] Generated Node #2: [23, 33, 34] from Operation: 2*17=34 Current State: 44:[23, 33, 34], Operations: ['2*17=34'] Exploring Operation: 33-23=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 33-23=10 Current State: 44:[34, 10], Operations: ['2*17=34', '33-23=10'] Exploring Operation: 34+10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[2, 23, 17, 33], Operations: [] Exploring Operation: 33-23=10, Resulting Numbers: [2, 17, 10] Generated Node #0,0: 44:[2, 17, 10] Operation: 33-23=10 Exploring Operation: 33-17=16, Resulting Numbers: [2, 23, 16] Generated Node #0,1: 44:[2, 23, 16] Operation: 33-17=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 44:[2, 17, 10], Operations: ['33-23=10'] Exploring Operation: 2+17=19, Resulting Numbers: [10, 19] Generated Node #0,0,0: 44:[10, 19] Operation: 2+17=19 Exploring Operation: 17-10=7, Resulting Numbers: [2, 7] Generated Node #0,0,1: 44:[2, 7] Operation: 17-10=7 Moving to Node #0,0,1 Current State: 44:[2, 7], Operations: ['33-23=10', '17-10=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,44 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,44 unequal: No Solution Moving to Node #0,0,0 Current State: 44:[10, 19], Operations: ['33-23=10', '2+17=19'] Exploring Operation: 10+19=29, Resulting Numbers: [29] 29,44 unequal: No Solution Exploring Operation: 19-10=9, Resulting Numbers: [9] 9,44 unequal: No Solution No 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: 44:[2, 23, 16], Operations: ['33-17=16'] Exploring Operation: 16-2=14, Resulting Numbers: [23, 14] Generated Node #0,1,0: 44:[23, 14] Operation: 16-2=14 Exploring Operation: 23-16=7, Resulting Numbers: [2, 7] Generated Node #0,1,1: 44:[2, 7] Operation: 23-16=7 Moving to Node #0,1,1 Current State: 44:[2, 7], Operations: ['33-17=16', '23-16=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,44 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,44 unequal: No Solution Moving to Node #0,1,0 Current State: 44:[23, 14], Operations: ['33-17=16', '16-2=14'] Exploring Operation: 23+14=37, Resulting Numbers: [37] 37,44 unequal: No Solution Exploring Operation: 23-14=9, Resulting Numbers: [9] 9,44 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, 81, 24, 4 ]
58
[ "4/4=1", "81-24=57", "1+57=58" ]
Current State: 58:[4, 81, 24, 4], Operations: [] Exploring Operation: 4/4=1, Resulting Numbers: [81, 24, 1] Generated Node #2: [81, 24, 1] from Operation: 4/4=1 Current State: 58:[81, 24, 1], Operations: ['4/4=1'] Exploring Operation: 81-24=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 81-24=57 Current State: 58:[1, 57], Operations: ['4/4=1', '81-24=57'] Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[4, 81, 24, 4], Operations: [] Exploring Operation: 81-4=77, Resulting Numbers: [24, 4, 77] Generated Node #0,0: 58:[24, 4, 77] Operation: 81-4=77 Exploring Operation: 81-24=57, Resulting Numbers: [4, 4, 57] Generated Node #0,1: 58:[4, 4, 57] Operation: 81-24=57 Start Sub Search at level 1: Moving to Node #0,1 Current State: 58:[4, 4, 57], Operations: ['81-24=57'] Exploring Operation: 4/4=1, Resulting Numbers: [57, 1] Generated Node #0,1,0: 58:[57, 1] Operation: 4/4=1 Exploring Operation: 4-4=0, Resulting Numbers: [57, 0] Generated Node #0,1,1: 58:[57, 0] Operation: 4-4=0 Moving to Node #0,1,0 Current State: 58:[57, 1], Operations: ['81-24=57', '4/4=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[4, 81, 24, 4], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [4, 4, 57] Generated Node #0,1: 58:[4, 4, 57] Operation: 81-24=57 Moving to Node #0,1 Current State: 58:[4, 4, 57], Operations: ['81-24=57'] Exploring Operation: 4/4=1, Resulting Numbers: [57, 1] Generated Node #0,1,0: 58:[57, 1] Operation: 4/4=1 Moving to Node #0,1,0 Current State: 58:[57, 1], Operations: ['81-24=57', '4/4=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 31, 61, 33, 8 ]
11
[ "61-31=30", "33+8=41", "41-30=11" ]
Current State: 11:[31, 61, 33, 8], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [33, 8, 30] Generated Node #2: [33, 8, 30] from Operation: 61-31=30 Current State: 11:[33, 8, 30], Operations: ['61-31=30'] Exploring Operation: 33+8=41, Resulting Numbers: [30, 41] Generated Node #3: [30, 41] from Operation: 33+8=41 Current State: 11:[30, 41], Operations: ['61-31=30', '33+8=41'] Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[31, 61, 33, 8], Operations: [] Exploring Operation: 61-33=28, Resulting Numbers: [31, 8, 28] Generated Node #0,0: 11:[31, 8, 28] Operation: 61-33=28 Moving to Node #0,0 Current State: 11:[31, 8, 28], Operations: ['61-33=28'] Exploring Operation: 31-28=3, Resulting Numbers: [8, 3] Generated Node #0,0,0: 11:[8, 3] Operation: 31-28=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 11:[8, 3], Operations: ['61-33=28', '31-28=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[31, 61, 33, 8], Operations: [] Exploring Operation: 61-33=28, Resulting Numbers: [31, 8, 28] Generated Node #0,0: 11:[31, 8, 28] Operation: 61-33=28 Moving to Node #0,0 Current State: 11:[31, 8, 28], Operations: ['61-33=28'] Exploring Operation: 31-28=3, Resulting Numbers: [8, 3] Generated Node #0,0,0: 11:[8, 3] Operation: 31-28=3 Moving to Node #0,0,0 Current State: 11:[8, 3], Operations: ['61-33=28', '31-28=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 45, 63, 82, 79 ]
36
[ "45+63=108", "82-79=3", "108/3=36" ]
Current State: 36:[45, 63, 82, 79], Operations: [] Exploring Operation: 45+63=108, Resulting Numbers: [82, 79, 108] Generated Node #2: [82, 79, 108] from Operation: 45+63=108 Current State: 36:[82, 79, 108], Operations: ['45+63=108'] Exploring Operation: 82-79=3, Resulting Numbers: [108, 3] Generated Node #3: [108, 3] from Operation: 82-79=3 Current State: 36:[108, 3], Operations: ['45+63=108', '82-79=3'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[45, 63, 82, 79], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [45, 63, 3] Generated Node #0,0: 36:[45, 63, 3] Operation: 82-79=3 Moving to Node #0,0 Current State: 36:[45, 63, 3], Operations: ['82-79=3'] Exploring Operation: 63-45=18, Resulting Numbers: [3, 18] Generated Node #0,0,0: 36:[3, 18] Operation: 63-45=18 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 36:[3, 18], Operations: ['82-79=3', '63-45=18'] Exploring Operation: 18/3=6, Resulting Numbers: [6] 6,36 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
[ 79, 31, 61, 59 ]
50
[ "79-31=48", "61-59=2", "48+2=50" ]
Current State: 50:[79, 31, 61, 59], Operations: [] Exploring Operation: 79-31=48, Resulting Numbers: [61, 59, 48] Generated Node #2: [61, 59, 48] from Operation: 79-31=48 Current State: 50:[61, 59, 48], Operations: ['79-31=48'] Exploring Operation: 61-59=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 61-59=2 Current State: 50:[48, 2], Operations: ['79-31=48', '61-59=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[79, 31, 61, 59], Operations: [] Exploring Operation: 79-31=48, Resulting Numbers: [61, 59, 48] Generated Node #0,0: 50:[61, 59, 48] Operation: 79-31=48 Moving to Node #0,0 Current State: 50:[61, 59, 48], Operations: ['79-31=48'] Exploring Operation: 61-59=2, Resulting Numbers: [48, 2] Generated Node #0,0,0: 50:[48, 2] Operation: 61-59=2 Moving to Node #0,0,0 Current State: 50:[48, 2], Operations: ['79-31=48', '61-59=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[79, 31, 61, 59], Operations: [] Exploring Operation: 79-31=48, Resulting Numbers: [61, 59, 48] Generated Node #0,0: 50:[61, 59, 48] Operation: 79-31=48 Moving to Node #0,0 Current State: 50:[61, 59, 48], Operations: ['79-31=48'] Exploring Operation: 61-59=2, Resulting Numbers: [48, 2] Generated Node #0,0,0: 50:[48, 2] Operation: 61-59=2 Moving to Node #0,0,0 Current State: 50:[48, 2], Operations: ['79-31=48', '61-59=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 45, 56, 90, 37 ]
97
[ "45-37=8", "56/8=7", "90+7=97" ]
Current State: 97:[45, 56, 90, 37], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [56, 90, 8] Generated Node #2: [56, 90, 8] from Operation: 45-37=8 Current State: 97:[56, 90, 8], Operations: ['45-37=8'] Exploring Operation: 56/8=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 56/8=7 Current State: 97:[90, 7], Operations: ['45-37=8', '56/8=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[45, 56, 90, 37], Operations: [] Exploring Operation: 56+37=93, Resulting Numbers: [45, 90, 93] Generated Node #0,0: 97:[45, 90, 93] Operation: 56+37=93 Exploring Operation: 45+37=82, Resulting Numbers: [56, 90, 82] Generated Node #0,1: 97:[56, 90, 82] Operation: 45+37=82 Moving to Node #0,0 Current State: 97:[45, 90, 93], Operations: ['56+37=93'] Exploring Operation: 45+90=135, Resulting Numbers: [93, 135] Generated Node #0,0,0: 97:[93, 135] Operation: 45+90=135 Exploring Operation: 45+93=138, Resulting Numbers: [90, 138] Generated Node #0,0,1: 97:[90, 138] Operation: 45+93=138 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 97:[93, 135], Operations: ['56+37=93', '45+90=135'] Exploring Operation: 135-93=42, Resulting Numbers: [42] 42,97 unequal: No Solution Exploring Operation: 93+135=228, Resulting Numbers: [228] 228,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 97:[90, 138], Operations: ['56+37=93', '45+93=138'] Exploring Operation: 138-90=48, Resulting Numbers: [48] 48,97 unequal: No Solution Exploring Operation: 90+138=228, Resulting Numbers: [228] 228,97 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: 97:[56, 90, 82], Operations: ['45+37=82'] Exploring Operation: 56+90=146, Resulting Numbers: [82, 146] Generated Node #0,1,0: 97:[82, 146] Operation: 56+90=146 Exploring Operation: 56+82=138, Resulting Numbers: [90, 138] Generated Node #0,1,1: 97:[90, 138] Operation: 56+82=138 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 97:[90, 138], Operations: ['45+37=82', '56+82=138'] Exploring Operation: 90+138=228, Resulting Numbers: [228] 228,97 unequal: No Solution Exploring Operation: 138-90=48, Resulting Numbers: [48] 48,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 97:[82, 146], Operations: ['45+37=82', '56+90=146'] Exploring Operation: 82+146=228, Resulting Numbers: [228] 228,97 unequal: No Solution Exploring Operation: 146-82=64, Resulting Numbers: [64] 64,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 63, 68, 90, 16 ]
57
[ "63+68=131", "90-16=74", "131-74=57" ]
Current State: 57:[63, 68, 90, 16], Operations: [] Exploring Operation: 63+68=131, Resulting Numbers: [90, 16, 131] Generated Node #2: [90, 16, 131] from Operation: 63+68=131 Current State: 57:[90, 16, 131], Operations: ['63+68=131'] Exploring Operation: 90-16=74, Resulting Numbers: [131, 74] Generated Node #3: [131, 74] from Operation: 90-16=74 Current State: 57:[131, 74], Operations: ['63+68=131', '90-16=74'] Exploring Operation: 131-74=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[63, 68, 90, 16], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [63, 16, 22] Generated Node #0,0: 57:[63, 16, 22] Operation: 90-68=22 Moving to Node #0,0 Current State: 57:[63, 16, 22], Operations: ['90-68=22'] Exploring Operation: 22-16=6, Resulting Numbers: [63, 6] Generated Node #0,0,0: 57:[63, 6] Operation: 22-16=6 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 57:[63, 6], Operations: ['90-68=22', '22-16=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[63, 68, 90, 16], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [63, 16, 22] Generated Node #0,0: 57:[63, 16, 22] Operation: 90-68=22 Moving to Node #0,0 Current State: 57:[63, 16, 22], Operations: ['90-68=22'] Exploring Operation: 22-16=6, Resulting Numbers: [63, 6] Generated Node #0,0,0: 57:[63, 6] Operation: 22-16=6 Moving to Node #0,0,0 Current State: 57:[63, 6], Operations: ['90-68=22', '22-16=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 5, 16, 54, 18 ]
93
[ "5+16=21", "54+18=72", "21+72=93" ]
Current State: 93:[5, 16, 54, 18], Operations: [] Exploring Operation: 5+16=21, Resulting Numbers: [54, 18, 21] Generated Node #2: [54, 18, 21] from Operation: 5+16=21 Current State: 93:[54, 18, 21], Operations: ['5+16=21'] Exploring Operation: 54+18=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 54+18=72 Current State: 93:[21, 72], Operations: ['5+16=21', '54+18=72'] Exploring Operation: 21+72=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[5, 16, 54, 18], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [5, 54, 2] Generated Node #0,0: 93:[5, 54, 2] Operation: 18-16=2 Exploring Operation: 54-18=36, Resulting Numbers: [5, 16, 36] Generated Node #0,1: 93:[5, 16, 36] Operation: 54-18=36 Exploring Operation: 54-16=38, Resulting Numbers: [5, 18, 38] Generated Node #0,2: 93:[5, 18, 38] Operation: 54-16=38 Exploring Operation: 54/18=3, Resulting Numbers: [5, 16, 3] Generated Node #0,3: 93:[5, 16, 3] Operation: 54/18=3 Moving to Node #0,3 Current State: 93:[5, 16, 3], Operations: ['54/18=3'] Exploring Operation: 16-5=11, Resulting Numbers: [3, 11] Generated Node #0,3,0: 93:[3, 11] Operation: 16-5=11 Exploring Operation: 5+16=21, Resulting Numbers: [3, 21] Generated Node #0,3,1: 93:[3, 21] Operation: 5+16=21 Exploring Operation: 16-3=13, Resulting Numbers: [5, 13] Generated Node #0,3,2: 93:[5, 13] Operation: 16-3=13 Exploring Operation: 5*16=80, Resulting Numbers: [3, 80] Generated Node #0,3,3: 93:[3, 80] Operation: 5*16=80 Moving to Node #0,1 Current State: 93:[5, 16, 36], Operations: ['54-18=36'] Exploring Operation: 36-5=31, Resulting Numbers: [16, 31] Generated Node #0,1,0: 93:[16, 31] Operation: 36-5=31 Exploring Operation: 5+16=21, Resulting Numbers: [36, 21] Generated Node #0,1,1: 93:[36, 21] Operation: 5+16=21 Exploring Operation: 36-16=20, Resulting Numbers: [5, 20] Generated Node #0,1,2: 93:[5, 20] Operation: 36-16=20 Exploring Operation: 16-5=11, Resulting Numbers: [36, 11] Generated Node #0,1,3: 93:[36, 11] Operation: 16-5=11 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 93:[16, 31], Operations: ['54-18=36', '36-5=31'] Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,93 unequal: No Solution Exploring Operation: 16+31=47, Resulting Numbers: [47] 47,93 unequal: No Solution Exploring Operation: 16*31=496, Resulting Numbers: [496] 496,93 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 #0,1,2 Current State: 93:[5, 20], Operations: ['54-18=36', '36-16=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,93 unequal: No Solution Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,93 unequal: No Solution Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,93 unequal: No Solution Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,93 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 #0,1,3 Current State: 93:[36, 11], Operations: ['54-18=36', '16-5=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,93 unequal: No Solution Exploring Operation: 36*11=396, Resulting Numbers: [396] 396,93 unequal: No Solution Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,93 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 #0,1,1 Current State: 93:[36, 21], Operations: ['54-18=36', '5+16=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,93 unequal: No Solution Exploring Operation: 36-21=15, Resulting Numbers: [15] 15,93 unequal: No Solution Exploring Operation: 36*21=756, Resulting Numbers: [756] 756,93 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: 93:[5, 18, 38], Operations: ['54-16=38'] Exploring Operation: 38-18=20, Resulting Numbers: [5, 20] Generated Node #0,2,0: 93:[5, 20] Operation: 38-18=20 Exploring Operation: 5*18=90, Resulting Numbers: [38, 90] Generated Node #0,2,1: 93:[38, 90] Operation: 5*18=90 Exploring Operation: 38-5=33, Resulting Numbers: [18, 33] Generated Node #0,2,2: 93:[18, 33] Operation: 38-5=33 Exploring Operation: 5+18=23, Resulting Numbers: [38, 23] Generated Node #0,2,3: 93:[38, 23] Operation: 5+18=23 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 93:[38, 90], Operations: ['54-16=38', '5*18=90'] Exploring Operation: 38*90=3420, Resulting Numbers: [3420] 3420,93 unequal: No Solution Exploring Operation: 38+90=128, Resulting Numbers: [128] 128,93 unequal: No Solution Exploring Operation: 90-38=52, Resulting Numbers: [52] 52,93 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 #0,2,0 Current State: 93:[5, 20], Operations: ['54-16=38', '38-18=20'] Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,93 unequal: No Solution Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,93 unequal: No Solution Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,93 unequal: No Solution Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,93 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 #0,2,2 Current State: 93:[18, 33], Operations: ['54-16=38', '38-5=33'] Exploring Operation: 18+33=51, Resulting Numbers: [51] 51,93 unequal: No Solution Exploring Operation: 33-18=15, Resulting Numbers: [15] 15,93 unequal: No Solution Exploring Operation: 18*33=594, Resulting Numbers: [594] 594,93 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 #0,2,3 Current State: 93:[38, 23], Operations: ['54-16=38', '5+18=23'] Exploring Operation: 38-23=15, Resulting Numbers: [15] 15,93 unequal: No Solution Exploring Operation: 38*23=874, Resulting Numbers: [874] 874,93 unequal: No Solution Exploring Operation: 38+23=61, Resulting Numbers: [61] 61,93 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: 93:[5, 54, 2], Operations: ['18-16=2'] Exploring Operation: 54/2=27, Resulting Numbers: [5, 27] Generated Node #0,0,0: 93:[5, 27] Operation: 54/2=27 Exploring Operation: 5-2=3, Resulting Numbers: [54, 3] Generated Node #0,0,1: 93:[54, 3] Operation: 5-2=3 Exploring Operation: 54-5=49, Resulting Numbers: [2, 49] Generated Node #0,0,2: 93:[2, 49] Operation: 54-5=49 Exploring Operation: 54*2=108, Resulting Numbers: [5, 108] Generated Node #0,0,3: 93:[5, 108] Operation: 54*2=108 Moving to Node #0,0,0 Current State: 93:[5, 27], Operations: ['18-16=2', '54/2=27'] Exploring Operation: 5+27=32, Resulting Numbers: [32] 32,93 unequal: No Solution Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,93 unequal: No Solution Exploring Operation: 5*27=135, Resulting Numbers: [135] 135,93 unequal: No Solution Moving to Node #0,3,0 Current State: 93:[3, 11], Operations: ['54/18=3', '16-5=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,93 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,93 unequal: No Solution Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,93 unequal: No Solution Moving to Node #0,3,1 Current State: 93:[3, 21], Operations: ['54/18=3', '5+16=21'] Exploring Operation: 21/3=7, Resulting Numbers: [7] 7,93 unequal: No Solution Exploring Operation: 3+21=24, Resulting Numbers: [24] 24,93 unequal: No Solution Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,93 unequal: No Solution Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,93 unequal: No Solution Moving to Node #0,3,2 Current State: 93:[5, 13], Operations: ['54/18=3', '16-3=13'] Exploring Operation: 5+13=18, Resulting Numbers: [18] 18,93 unequal: No Solution Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,93 unequal: No Solution Exploring Operation: 13-5=8, Resulting Numbers: [8] 8,93 unequal: No Solution Moving to Node #0,3,3 Current State: 93:[3, 80], Operations: ['54/18=3', '5*16=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,93 unequal: No Solution Exploring Operation: 3*80=240, Resulting Numbers: [240] 240,93 unequal: No Solution Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,93 unequal: No Solution Moving to Node #0,0,3 Current State: 93:[5, 108], Operations: ['18-16=2', '54*2=108'] Exploring Operation: 108-5=103, Resulting Numbers: [103] 103,93 unequal: No Solution Exploring Operation: 5*108=540, Resulting Numbers: [540] 540,93 unequal: No Solution Exploring Operation: 5+108=113, Resulting Numbers: [113] 113,93 unequal: No Solution Moving to Node #0,0,2 Current State: 93:[2, 49], Operations: ['18-16=2', '54-5=49'] Exploring Operation: 2+49=51, Resulting Numbers: [51] 51,93 unequal: No Solution Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,93 unequal: No Solution Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,93 unequal: No Solution Moving to Node #0,0,1 Current State: 93:[54, 3], Operations: ['18-16=2', '5-2=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,93 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,93 unequal: No Solution Exploring Operation: 54*3=162, Resulting Numbers: [162] 162,93 unequal: No Solution Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,93 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 45, 2, 33, 3 ]
96
[ "45-2=43", "3*43=129", "129-33=96" ]
Current State: 96:[45, 2, 33, 3], Operations: [] Exploring Operation: 45-2=43, Resulting Numbers: [33, 3, 43] Generated Node #2: [33, 3, 43] from Operation: 45-2=43 Current State: 96:[33, 3, 43], Operations: ['45-2=43'] Exploring Operation: 3*43=129, Resulting Numbers: [33, 129] Generated Node #3: [33, 129] from Operation: 3*43=129 Current State: 96:[33, 129], Operations: ['45-2=43', '3*43=129'] Exploring Operation: 129-33=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[45, 2, 33, 3], Operations: [] Exploring Operation: 45+3=48, Resulting Numbers: [2, 33, 48] Generated Node #0,0: 96:[2, 33, 48] Operation: 45+3=48 Exploring Operation: 45+2=47, Resulting Numbers: [33, 3, 47] Generated Node #0,1: 96:[33, 3, 47] Operation: 45+2=47 Exploring Operation: 45-33=12, Resulting Numbers: [2, 3, 12] Generated Node #0,2: 96:[2, 3, 12] Operation: 45-33=12 Exploring Operation: 33-2=31, Resulting Numbers: [45, 3, 31] Generated Node #0,3: 96:[45, 3, 31] Operation: 33-2=31 Exploring Operation: 45/3=15, Resulting Numbers: [2, 33, 15] Generated Node #0,4: 96:[2, 33, 15] Operation: 45/3=15 Moving to Node #0,2 Current State: 96:[2, 3, 12], Operations: ['45-33=12'] Exploring Operation: 2*12=24, Resulting Numbers: [3, 24] Generated Node #0,2,0: 96:[3, 24] Operation: 2*12=24 Exploring Operation: 2+3=5, Resulting Numbers: [12, 5] Generated Node #0,2,1: 96:[12, 5] Operation: 2+3=5 Exploring Operation: 12/3=4, Resulting Numbers: [2, 4] Generated Node #0,2,2: 96:[2, 4] Operation: 12/3=4 Exploring Operation: 12/2=6, Resulting Numbers: [3, 6] Generated Node #0,2,3: 96:[3, 6] Operation: 12/2=6 Exploring Operation: 2*3=6, Resulting Numbers: [12, 6] Generated Node #0,2,4: 96:[12, 6] Operation: 2*3=6 Moving to Node #0,0 Current State: 96:[2, 33, 48], Operations: ['45+3=48'] Exploring Operation: 33-2=31, Resulting Numbers: [48, 31] Generated Node #0,0,0: 96:[48, 31] Operation: 33-2=31 Exploring Operation: 48/2=24, Resulting Numbers: [33, 24] Generated Node #0,0,1: 96:[33, 24] Operation: 48/2=24 Exploring Operation: 2+33=35, Resulting Numbers: [48, 35] Generated Node #0,0,2: 96:[48, 35] Operation: 2+33=35 Exploring Operation: 48-33=15, Resulting Numbers: [2, 15] Generated Node #0,0,3: 96:[2, 15] Operation: 48-33=15 Exploring Operation: 2*48=96, Resulting Numbers: [33, 96] Generated Node #0,0,4: 96:[33, 96] Operation: 2*48=96 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 96:[48, 31], Operations: ['45+3=48', '33-2=31'] Exploring Operation: 48*31=1488, Resulting Numbers: [1488] 1488,96 unequal: No Solution Exploring Operation: 48+31=79, Resulting Numbers: [79] 79,96 unequal: No Solution Exploring Operation: 48-31=17, Resulting Numbers: [17] 17,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 96:[33, 24], Operations: ['45+3=48', '48/2=24'] Exploring Operation: 33-24=9, Resulting Numbers: [9] 9,96 unequal: No Solution Exploring Operation: 33*24=792, Resulting Numbers: [792] 792,96 unequal: No Solution Exploring Operation: 33+24=57, Resulting Numbers: [57] 57,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 96:[2, 15], Operations: ['45+3=48', '48-33=15'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,96 unequal: No Solution Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 96:[33, 96], Operations: ['45+3=48', '2*48=96'] Exploring Operation: 33+96=129, Resulting Numbers: [129] 129,96 unequal: No Solution Exploring Operation: 33*96=3168, Resulting Numbers: [3168] 3168,96 unequal: No Solution Exploring Operation: 96-33=63, Resulting Numbers: [63] 63,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 96:[48, 35], Operations: ['45+3=48', '2+33=35'] Exploring Operation: 48-35=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 48*35=1680, Resulting Numbers: [1680] 1680,96 unequal: No Solution Exploring Operation: 48+35=83, Resulting Numbers: [83] 83,96 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: 96:[33, 3, 47], Operations: ['45+2=47'] Exploring Operation: 47-33=14, Resulting Numbers: [3, 14] Generated Node #0,1,0: 96:[3, 14] Operation: 47-33=14 Exploring Operation: 33/3=11, Resulting Numbers: [47, 11] Generated Node #0,1,1: 96:[47, 11] Operation: 33/3=11 Exploring Operation: 33-3=30, Resulting Numbers: [47, 30] Generated Node #0,1,2: 96:[47, 30] Operation: 33-3=30 Exploring Operation: 3+47=50, Resulting Numbers: [33, 50] Generated Node #0,1,3: 96:[33, 50] Operation: 3+47=50 Exploring Operation: 33*3=99, Resulting Numbers: [47, 99] Generated Node #0,1,4: 96:[47, 99] Operation: 33*3=99 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 96:[3, 14], Operations: ['45+2=47', '47-33=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,96 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 96:[47, 11], Operations: ['45+2=47', '33/3=11'] Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,96 unequal: No Solution Exploring Operation: 47+11=58, Resulting Numbers: [58] 58,96 unequal: No Solution Exploring Operation: 47*11=517, Resulting Numbers: [517] 517,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 96:[47, 30], Operations: ['45+2=47', '33-3=30'] Exploring Operation: 47+30=77, Resulting Numbers: [77] 77,96 unequal: No Solution Exploring Operation: 47-30=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 47*30=1410, Resulting Numbers: [1410] 1410,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 96:[33, 50], Operations: ['45+2=47', '3+47=50'] Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 33+50=83, Resulting Numbers: [83] 83,96 unequal: No Solution Exploring Operation: 33*50=1650, Resulting Numbers: [1650] 1650,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 96:[47, 99], Operations: ['45+2=47', '33*3=99'] Exploring Operation: 47+99=146, Resulting Numbers: [146] 146,96 unequal: No Solution Exploring Operation: 47*99=4653, Resulting Numbers: [4653] 4653,96 unequal: No Solution Exploring Operation: 99-47=52, Resulting Numbers: [52] 52,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 96:[2, 33, 15], Operations: ['45/3=15'] Exploring Operation: 15-2=13, Resulting Numbers: [33, 13] Generated Node #0,4,0: 96:[33, 13] Operation: 15-2=13 Exploring Operation: 33-2=31, Resulting Numbers: [15, 31] Generated Node #0,4,1: 96:[15, 31] Operation: 33-2=31 Exploring Operation: 33-15=18, Resulting Numbers: [2, 18] Generated Node #0,4,2: 96:[2, 18] Operation: 33-15=18 Exploring Operation: 33+15=48, Resulting Numbers: [2, 48] Generated Node #0,4,3: 96:[2, 48] Operation: 33+15=48 Exploring Operation: 2+15=17, Resulting Numbers: [33, 17] Generated Node #0,4,4: 96:[33, 17] Operation: 2+15=17 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 96:[2, 48], Operations: ['45/3=15', '33+15=48'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,96 unequal: No Solution Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[45, 2, 33, 3], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [2, 33, 15] Generated Node #0,4: 96:[2, 33, 15] Operation: 45/3=15 Moving to Node #0,4 Current State: 96:[2, 33, 15], Operations: ['45/3=15'] Exploring Operation: 33+15=48, Resulting Numbers: [2, 48] Generated Node #0,4,3: 96:[2, 48] Operation: 33+15=48 Moving to Node #0,4,3 Current State: 96:[2, 48], Operations: ['45/3=15', '33+15=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 1
0.947049
hs_5
sum_heuristic
[ 49, 58, 70, 20 ]
35
[ "49-20=29", "58/29=2", "70/2=35" ]
Current State: 35:[49, 58, 70, 20], Operations: [] Exploring Operation: 49-20=29, Resulting Numbers: [58, 70, 29] Generated Node #2: [58, 70, 29] from Operation: 49-20=29 Current State: 35:[58, 70, 29], Operations: ['49-20=29'] Exploring Operation: 58/29=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 58/29=2 Current State: 35:[70, 2], Operations: ['49-20=29', '58/29=2'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[49, 58, 70, 20], Operations: [] Exploring Operation: 70-20=50, Resulting Numbers: [49, 58, 50] Generated Node #0,0: 35:[49, 58, 50] Operation: 70-20=50 Exploring Operation: 58-20=38, Resulting Numbers: [49, 70, 38] Generated Node #0,1: 35:[49, 70, 38] Operation: 58-20=38 Exploring Operation: 58-49=9, Resulting Numbers: [70, 20, 9] Generated Node #0,2: 35:[70, 20, 9] Operation: 58-49=9 Exploring Operation: 70-49=21, Resulting Numbers: [58, 20, 21] Generated Node #0,3: 35:[58, 20, 21] Operation: 70-49=21 Exploring Operation: 70-58=12, Resulting Numbers: [49, 20, 12] Generated Node #0,4: 35:[49, 20, 12] Operation: 70-58=12 Start Sub Search at level 1: Moving to Node #0,4 Current State: 35:[49, 20, 12], Operations: ['70-58=12'] Exploring Operation: 20-12=8, Resulting Numbers: [49, 8] Generated Node #0,4,0: 35:[49, 8] Operation: 20-12=8 Exploring Operation: 20+12=32, Resulting Numbers: [49, 32] Generated Node #0,4,1: 35:[49, 32] Operation: 20+12=32 Exploring Operation: 49-12=37, Resulting Numbers: [20, 37] Generated Node #0,4,2: 35:[20, 37] Operation: 49-12=37 Exploring Operation: 49-20=29, Resulting Numbers: [12, 29] Generated Node #0,4,3: 35:[12, 29] Operation: 49-20=29 Exploring Operation: 49+20=69, Resulting Numbers: [12, 69] Generated Node #0,4,4: 35:[12, 69] Operation: 49+20=69 Moving to Node #0,4,3 Current State: 35:[12, 29], Operations: ['70-58=12', '49-20=29'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 12+29=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 12*29=348, Resulting Numbers: [348] 348,35 unequal: No Solution Moving to Node #0,4,2 Current State: 35:[20, 37], Operations: ['70-58=12', '49-12=37'] Exploring Operation: 20+37=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 20*37=740, Resulting Numbers: [740] 740,35 unequal: No Solution Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,35 unequal: No Solution Moving to Node #0,4,0 Current State: 35:[49, 8], Operations: ['70-58=12', '20-12=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 49*8=392, Resulting Numbers: [392] 392,35 unequal: No Solution Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,35 unequal: No Solution Moving to Node #0,4,1 Current State: 35:[49, 32], Operations: ['70-58=12', '20+12=32'] Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 49*32=1568, Resulting Numbers: [1568] 1568,35 unequal: No Solution Moving to Node #0,4,4 Current State: 35:[12, 69], Operations: ['70-58=12', '49+20=69'] Exploring Operation: 12*69=828, Resulting Numbers: [828] 828,35 unequal: No Solution Exploring Operation: 12+69=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[70, 20, 9], Operations: ['58-49=9'] Exploring Operation: 70-9=61, Resulting Numbers: [20, 61] Generated Node #0,2,0: 35:[20, 61] Operation: 70-9=61 Exploring Operation: 70-20=50, Resulting Numbers: [9, 50] Generated Node #0,2,1: 35:[9, 50] Operation: 70-20=50 Exploring Operation: 20-9=11, Resulting Numbers: [70, 11] Generated Node #0,2,2: 35:[70, 11] Operation: 20-9=11 Exploring Operation: 70+20=90, Resulting Numbers: [9, 90] Generated Node #0,2,3: 35:[9, 90] Operation: 70+20=90 Exploring Operation: 20+9=29, Resulting Numbers: [70, 29] Generated Node #0,2,4: 35:[70, 29] Operation: 20+9=29 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 35:[9, 50], Operations: ['58-49=9', '70-20=50'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 9+50=59, Resulting Numbers: [59] 59,35 unequal: No Solution Exploring Operation: 9*50=450, Resulting Numbers: [450] 450,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 35:[20, 61], Operations: ['58-49=9', '70-9=61'] Exploring Operation: 20*61=1220, Resulting Numbers: [1220] 1220,35 unequal: No Solution Exploring Operation: 61-20=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 20+61=81, Resulting Numbers: [81] 81,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[70, 11], Operations: ['58-49=9', '20-9=11'] Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,35 unequal: No Solution Exploring Operation: 70*11=770, Resulting Numbers: [770] 770,35 unequal: No Solution Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 35:[70, 29], Operations: ['58-49=9', '20+9=29'] Exploring Operation: 70*29=2030, Resulting Numbers: [2030] 2030,35 unequal: No Solution Exploring Operation: 70-29=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 70+29=99, Resulting Numbers: [99] 99,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 35:[9, 90], Operations: ['58-49=9', '70+20=90'] Exploring Operation: 9*90=810, Resulting Numbers: [810] 810,35 unequal: No Solution Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 9+90=99, Resulting Numbers: [99] 99,35 unequal: No Solution Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 35:[58, 20, 21], Operations: ['70-49=21'] Exploring Operation: 20+21=41, Resulting Numbers: [58, 41] Generated Node #0,3,0: 35:[58, 41] Operation: 20+21=41 Exploring Operation: 58+20=78, Resulting Numbers: [21, 78] Generated Node #0,3,1: 35:[21, 78] Operation: 58+20=78 Exploring Operation: 21-20=1, Resulting Numbers: [58, 1] Generated Node #0,3,2: 35:[58, 1] Operation: 21-20=1 Exploring Operation: 58-21=37, Resulting Numbers: [20, 37] Generated Node #0,3,3: 35:[20, 37] Operation: 58-21=37 Exploring Operation: 58-20=38, Resulting Numbers: [21, 38] Generated Node #0,3,4: 35:[21, 38] Operation: 58-20=38 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 35:[20, 37], Operations: ['70-49=21', '58-21=37'] Exploring Operation: 20+37=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 20*37=740, Resulting Numbers: [740] 740,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 35:[21, 38], Operations: ['70-49=21', '58-20=38'] Exploring Operation: 21+38=59, Resulting Numbers: [59] 59,35 unequal: No Solution Exploring Operation: 21*38=798, Resulting Numbers: [798] 798,35 unequal: No Solution Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 35:[58, 1], Operations: ['70-49=21', '21-20=1'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 58/1=58, Resulting Numbers: [58] 58,35 unequal: No Solution Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,35 unequal: No Solution Exploring Operation: 58+1=59, Resulting Numbers: [59] 59,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 35:[58, 41], Operations: ['70-49=21', '20+21=41'] Exploring Operation: 58+41=99, Resulting Numbers: [99] 99,35 unequal: No Solution Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 58*41=2378, Resulting Numbers: [2378] 2378,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 35:[21, 78], Operations: ['70-49=21', '58+20=78'] Exploring Operation: 78-21=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 21*78=1638, Resulting Numbers: [1638] 1638,35 unequal: No Solution Exploring Operation: 21+78=99, Resulting Numbers: [99] 99,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 35:[49, 58, 50], Operations: ['70-20=50'] Exploring Operation: 58-50=8, Resulting Numbers: [49, 8] Generated Node #0,0,0: 35:[49, 8] Operation: 58-50=8 Exploring Operation: 50-49=1, Resulting Numbers: [58, 1] Generated Node #0,0,1: 35:[58, 1] Operation: 50-49=1 Exploring Operation: 58-49=9, Resulting Numbers: [50, 9] Generated Node #0,0,2: 35:[50, 9] Operation: 58-49=9 Exploring Operation: 49+50=99, Resulting Numbers: [58, 99] Generated Node #0,0,3: 35:[58, 99] Operation: 49+50=99 Exploring Operation: 49+58=107, Resulting Numbers: [50, 107] Generated Node #0,0,4: 35:[50, 107] Operation: 49+58=107 Moving to Node #0,0,0 Current State: 35:[49, 8], Operations: ['70-20=50', '58-50=8'] Exploring Operation: 49*8=392, Resulting Numbers: [392] 392,35 unequal: No Solution Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,35 unequal: No Solution Moving to Node #0,0,2 Current State: 35:[50, 9], Operations: ['70-20=50', '58-49=9'] Exploring Operation: 50*9=450, Resulting Numbers: [450] 450,35 unequal: No Solution Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[58, 1], Operations: ['70-20=50', '50-49=1'] Exploring Operation: 58/1=58, Resulting Numbers: [58] 58,35 unequal: No Solution Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,35 unequal: No Solution Exploring Operation: 58+1=59, Resulting Numbers: [59] 59,35 unequal: No Solution Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[58, 99], Operations: ['70-20=50', '49+50=99'] Exploring Operation: 99-58=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 58+99=157, Resulting Numbers: [157] 157,35 unequal: No Solution Exploring Operation: 58*99=5742, Resulting Numbers: [5742] 5742,35 unequal: No Solution Moving to Node #0,0,4 Current State: 35:[50, 107], Operations: ['70-20=50', '49+58=107'] Exploring Operation: 50+107=157, Resulting Numbers: [157] 157,35 unequal: No Solution Exploring Operation: 50*107=5350, Resulting Numbers: [5350] 5350,35 unequal: No Solution Exploring Operation: 107-50=57, Resulting Numbers: [57] 57,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 35:[49, 70, 38], Operations: ['58-20=38'] Exploring Operation: 49+38=87, Resulting Numbers: [70, 87] Generated Node #0,1,0: 35:[70, 87] Operation: 49+38=87 Exploring Operation: 49+70=119, Resulting Numbers: [38, 119] Generated Node #0,1,1: 35:[38, 119] Operation: 49+70=119 Exploring Operation: 70-38=32, Resulting Numbers: [49, 32] Generated Node #0,1,2: 35:[49, 32] Operation: 70-38=32 Exploring Operation: 70-49=21, Resulting Numbers: [38, 21] Generated Node #0,1,3: 35:[38, 21] Operation: 70-49=21 Exploring Operation: 49-38=11, Resulting Numbers: [70, 11] Generated Node #0,1,4: 35:[70, 11] Operation: 49-38=11 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 35:[49, 32], Operations: ['58-20=38', '70-38=32'] Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 49*32=1568, Resulting Numbers: [1568] 1568,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 35:[38, 21], Operations: ['58-20=38', '70-49=21'] Exploring Operation: 38+21=59, Resulting Numbers: [59] 59,35 unequal: No Solution Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 38*21=798, Resulting Numbers: [798] 798,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 35:[70, 11], Operations: ['58-20=38', '49-38=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 70*11=770, Resulting Numbers: [770] 770,35 unequal: No Solution Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 35:[70, 87], Operations: ['58-20=38', '49+38=87'] Exploring Operation: 87-70=17, Resulting Numbers: [17] 17,35 unequal: No Solution Exploring Operation: 70+87=157, Resulting Numbers: [157] 157,35 unequal: No Solution Exploring Operation: 70*87=6090, Resulting Numbers: [6090] 6090,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 35:[38, 119], Operations: ['58-20=38', '49+70=119'] Exploring Operation: 119-38=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 38*119=4522, Resulting Numbers: [4522] 4522,35 unequal: No Solution Exploring Operation: 38+119=157, Resulting Numbers: [157] 157,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 7, 54, 15, 16 ]
46
[ "54-7=47", "16-15=1", "47-1=46" ]
Current State: 46:[7, 54, 15, 16], Operations: [] Exploring Operation: 54-7=47, Resulting Numbers: [15, 16, 47] Generated Node #2: [15, 16, 47] from Operation: 54-7=47 Current State: 46:[15, 16, 47], Operations: ['54-7=47'] Exploring Operation: 16-15=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 16-15=1 Current State: 46:[47, 1], Operations: ['54-7=47', '16-15=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[7, 54, 15, 16], Operations: [] Exploring Operation: 7+15=22, Resulting Numbers: [54, 16, 22] Generated Node #0,0: 46:[54, 16, 22] Operation: 7+15=22 Exploring Operation: 16-15=1, Resulting Numbers: [7, 54, 1] Generated Node #0,1: 46:[7, 54, 1] Operation: 16-15=1 Exploring Operation: 7+16=23, Resulting Numbers: [54, 15, 23] Generated Node #0,2: 46:[54, 15, 23] Operation: 7+16=23 Exploring Operation: 54-7=47, Resulting Numbers: [15, 16, 47] Generated Node #0,3: 46:[15, 16, 47] Operation: 54-7=47 Start Sub Search at level 1: Moving to Node #0,1 Current State: 46:[7, 54, 1], Operations: ['16-15=1'] Exploring Operation: 7*1=7, Resulting Numbers: [54, 7] Generated Node #0,1,0: 46:[54, 7] Operation: 7*1=7 Exploring Operation: 54-7=47, Resulting Numbers: [1, 47] Generated Node #0,1,1: 46:[1, 47] Operation: 54-7=47 Exploring Operation: 54-1=53, Resulting Numbers: [7, 53] Generated Node #0,1,2: 46:[7, 53] Operation: 54-1=53 Exploring Operation: 7-1=6, Resulting Numbers: [54, 6] Generated Node #0,1,3: 46:[54, 6] Operation: 7-1=6 Moving to Node #0,1,1 Current State: 46:[1, 47], Operations: ['16-15=1', '54-7=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[7, 54, 15, 16], Operations: [] Exploring Operation: 16-15=1, Resulting Numbers: [7, 54, 1] Generated Node #0,1: 46:[7, 54, 1] Operation: 16-15=1 Moving to Node #0,1 Current State: 46:[7, 54, 1], Operations: ['16-15=1'] Exploring Operation: 54-7=47, Resulting Numbers: [1, 47] Generated Node #0,1,1: 46:[1, 47] Operation: 54-7=47 Moving to Node #0,1,1 Current State: 46:[1, 47], Operations: ['16-15=1', '54-7=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 2, 55, 60, 7 ]
58
[ "2*60=120", "55+7=62", "120-62=58" ]
Current State: 58:[2, 55, 60, 7], Operations: [] Exploring Operation: 2*60=120, Resulting Numbers: [55, 7, 120] Generated Node #2: [55, 7, 120] from Operation: 2*60=120 Current State: 58:[55, 7, 120], Operations: ['2*60=120'] Exploring Operation: 55+7=62, Resulting Numbers: [120, 62] Generated Node #3: [120, 62] from Operation: 55+7=62 Current State: 58:[120, 62], Operations: ['2*60=120', '55+7=62'] Exploring Operation: 120-62=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[2, 55, 60, 7], Operations: [] Exploring Operation: 55+7=62, Resulting Numbers: [2, 60, 62] Generated Node #0,0: 58:[2, 60, 62] Operation: 55+7=62 Moving to Node #0,0 Current State: 58:[2, 60, 62], Operations: ['55+7=62'] Exploring Operation: 62-60=2, Resulting Numbers: [2, 2] Generated Node #0,0,0: 58:[2, 2] Operation: 62-60=2 Moving to Node #0,0,0 Current State: 58:[2, 2], Operations: ['55+7=62', '62-60=2'] Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,58 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 76, 57, 17, 73 ]
77
[ "76+57=133", "73-17=56", "133-56=77" ]
Current State: 77:[76, 57, 17, 73], Operations: [] Exploring Operation: 76+57=133, Resulting Numbers: [17, 73, 133] Generated Node #2: [17, 73, 133] from Operation: 76+57=133 Current State: 77:[17, 73, 133], Operations: ['76+57=133'] Exploring Operation: 73-17=56, Resulting Numbers: [133, 56] Generated Node #3: [133, 56] from Operation: 73-17=56 Current State: 77:[133, 56], Operations: ['76+57=133', '73-17=56'] Exploring Operation: 133-56=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[76, 57, 17, 73], Operations: [] Exploring Operation: 57+17=74, Resulting Numbers: [76, 73, 74] Generated Node #0,0: 77:[76, 73, 74] Operation: 57+17=74 Exploring Operation: 73-57=16, Resulting Numbers: [76, 17, 16] Generated Node #0,1: 77:[76, 17, 16] Operation: 73-57=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[76, 73, 74], Operations: ['57+17=74'] Exploring Operation: 76-73=3, Resulting Numbers: [74, 3] Generated Node #0,0,0: 77:[74, 3] Operation: 76-73=3 Exploring Operation: 74-73=1, Resulting Numbers: [76, 1] Generated Node #0,0,1: 77:[76, 1] Operation: 74-73=1 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 77:[74, 3], Operations: ['57+17=74', '76-73=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[76, 57, 17, 73], Operations: [] Exploring Operation: 57+17=74, Resulting Numbers: [76, 73, 74] Generated Node #0,0: 77:[76, 73, 74] Operation: 57+17=74 Moving to Node #0,0 Current State: 77:[76, 73, 74], Operations: ['57+17=74'] Exploring Operation: 76-73=3, Resulting Numbers: [74, 3] Generated Node #0,0,0: 77:[74, 3] Operation: 76-73=3 Moving to Node #0,0,0 Current State: 77:[74, 3], Operations: ['57+17=74', '76-73=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 67, 82, 6, 76 ]
14
[ "82-67=15", "6*15=90", "90-76=14" ]
Current State: 14:[67, 82, 6, 76], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [6, 76, 15] Generated Node #2: [6, 76, 15] from Operation: 82-67=15 Current State: 14:[6, 76, 15], Operations: ['82-67=15'] Exploring Operation: 6*15=90, Resulting Numbers: [76, 90] Generated Node #3: [76, 90] from Operation: 6*15=90 Current State: 14:[76, 90], Operations: ['82-67=15', '6*15=90'] Exploring Operation: 90-76=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[67, 82, 6, 76], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [67, 6, 6] Generated Node #0,0: 14:[67, 6, 6] Operation: 82-76=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[67, 6, 6], Operations: ['82-76=6'] Exploring Operation: 67-6=61, Resulting Numbers: [6, 61] Generated Node #0,0,0: 14:[6, 61] Operation: 67-6=61 Moving to Node #0,0,0 Current State: 14:[6, 61], Operations: ['82-76=6', '67-6=61'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,14 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
[ 2, 54, 36, 2 ]
71
[ "36-2=34", "34/2=17", "54+17=71" ]
Current State: 71:[2, 54, 36, 2], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [54, 34] Generated Node #2: [54, 34] from Operation: 36-2=34 Current State: 71:[54, 34], Operations: ['36-2=34'] Exploring Operation: 34/2=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 34/2=17 Current State: 71:[54, 17], Operations: ['36-2=34', '34/2=17'] Exploring Operation: 54+17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[2, 54, 36, 2], Operations: [] Exploring Operation: 36*2=72, Resulting Numbers: [2, 54, 72] Generated Node #0,0: 71:[2, 54, 72] Operation: 36*2=72 Exploring Operation: 2*36=72, Resulting Numbers: [54, 2, 72] Generated Node #0,1: 71:[54, 2, 72] Operation: 2*36=72 Moving to Node #0,0 Current State: 71:[2, 54, 72], Operations: ['36*2=72'] Exploring Operation: 72-2=70, Resulting Numbers: [54, 70] Generated Node #0,0,0: 71:[54, 70] Operation: 72-2=70 Exploring Operation: 2+54=56, Resulting Numbers: [72, 56] Generated Node #0,0,1: 71:[72, 56] Operation: 2+54=56 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 71:[72, 56], Operations: ['36*2=72', '2+54=56'] Exploring Operation: 72+56=128, Resulting Numbers: [128] 128,71 unequal: No Solution Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,71 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:[54, 70], Operations: ['36*2=72', '72-2=70'] Exploring Operation: 70-54=16, Resulting Numbers: [16] 16,71 unequal: No Solution Exploring Operation: 54+70=124, Resulting Numbers: [124] 124,71 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:[54, 2, 72], Operations: ['2*36=72'] Exploring Operation: 54+2=56, Resulting Numbers: [72, 56] Generated Node #0,1,0: 71:[72, 56] Operation: 54+2=56 Exploring Operation: 72-2=70, Resulting Numbers: [54, 70] Generated Node #0,1,1: 71:[54, 70] Operation: 72-2=70 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 71:[72, 56], Operations: ['2*36=72', '54+2=56'] Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,71 unequal: No Solution Exploring Operation: 72+56=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 #0,1,1 Current State: 71:[54, 70], Operations: ['2*36=72', '72-2=70'] Exploring Operation: 70-54=16, Resulting Numbers: [16] 16,71 unequal: No Solution Exploring Operation: 54+70=124, Resulting Numbers: [124] 124,71 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
[ 19, 33, 2, 60 ]
32
[ "33-19=14", "2*14=28", "60-28=32" ]
Current State: 32:[19, 33, 2, 60], Operations: [] Exploring Operation: 33-19=14, Resulting Numbers: [2, 60, 14] Generated Node #2: [2, 60, 14] from Operation: 33-19=14 Current State: 32:[2, 60, 14], Operations: ['33-19=14'] Exploring Operation: 2*14=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 2*14=28 Current State: 32:[60, 28], Operations: ['33-19=14', '2*14=28'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[19, 33, 2, 60], Operations: [] Exploring Operation: 60-33=27, Resulting Numbers: [19, 2, 27] Generated Node #0,0: 32:[19, 2, 27] Operation: 60-33=27 Exploring Operation: 33-19=14, Resulting Numbers: [2, 60, 14] Generated Node #0,1: 32:[2, 60, 14] Operation: 33-19=14 Exploring Operation: 19-2=17, Resulting Numbers: [33, 60, 17] Generated Node #0,2: 32:[33, 60, 17] Operation: 19-2=17 Exploring Operation: 60/2=30, Resulting Numbers: [19, 33, 30] Generated Node #0,3: 32:[19, 33, 30] Operation: 60/2=30 Exploring Operation: 60-19=41, Resulting Numbers: [33, 2, 41] Generated Node #0,4: 32:[33, 2, 41] Operation: 60-19=41 Moving to Node #0,3 Current State: 32:[19, 33, 30], Operations: ['60/2=30'] Exploring Operation: 19+33=52, Resulting Numbers: [30, 52] Generated Node #0,3,0: 32:[30, 52] Operation: 19+33=52 Exploring Operation: 33-30=3, Resulting Numbers: [19, 3] Generated Node #0,3,1: 32:[19, 3] Operation: 33-30=3 Exploring Operation: 19+30=49, Resulting Numbers: [33, 49] Generated Node #0,3,2: 32:[33, 49] Operation: 19+30=49 Exploring Operation: 33-19=14, Resulting Numbers: [30, 14] Generated Node #0,3,3: 32:[30, 14] Operation: 33-19=14 Exploring Operation: 30-19=11, Resulting Numbers: [33, 11] Generated Node #0,3,4: 32:[33, 11] Operation: 30-19=11 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 32:[19, 3], Operations: ['60/2=30', '33-30=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,32 unequal: No Solution Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,32 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,32 unequal: No Solution No 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: 32:[30, 14], Operations: ['60/2=30', '33-19=14'] Exploring Operation: 30*14=420, Resulting Numbers: [420] 420,32 unequal: No Solution Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,32 unequal: No Solution Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,32 unequal: No Solution No 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: 32:[33, 11], Operations: ['60/2=30', '30-19=11'] Exploring Operation: 33*11=363, Resulting Numbers: [363] 363,32 unequal: No Solution Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,32 unequal: No Solution Exploring Operation: 33+11=44, Resulting Numbers: [44] 44,32 unequal: No Solution Exploring Operation: 33/11=3, Resulting Numbers: [3] 3,32 unequal: No Solution No 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: 32:[33, 49], Operations: ['60/2=30', '19+30=49'] Exploring Operation: 49-33=16, Resulting Numbers: [16] 16,32 unequal: No Solution Exploring Operation: 33+49=82, Resulting Numbers: [82] 82,32 unequal: No Solution Exploring Operation: 33*49=1617, Resulting Numbers: [1617] 1617,32 unequal: No Solution No 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: 32:[30, 52], Operations: ['60/2=30', '19+33=52'] Exploring Operation: 30*52=1560, Resulting Numbers: [1560] 1560,32 unequal: No Solution Exploring Operation: 52-30=22, Resulting Numbers: [22] 22,32 unequal: No Solution Exploring Operation: 30+52=82, Resulting Numbers: [82] 82,32 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: 32:[19, 2, 27], Operations: ['60-33=27'] Exploring Operation: 27-19=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 32:[2, 8] Operation: 27-19=8 Exploring Operation: 27-2=25, Resulting Numbers: [19, 25] Generated Node #0,0,1: 32:[19, 25] Operation: 27-2=25 Exploring Operation: 2+27=29, Resulting Numbers: [19, 29] Generated Node #0,0,2: 32:[19, 29] Operation: 2+27=29 Exploring Operation: 19-2=17, Resulting Numbers: [27, 17] Generated Node #0,0,3: 32:[27, 17] Operation: 19-2=17 Exploring Operation: 19+2=21, Resulting Numbers: [27, 21] Generated Node #0,0,4: 32:[27, 21] Operation: 19+2=21 Moving to Node #0,4 Current State: 32:[33, 2, 41], Operations: ['60-19=41'] Exploring Operation: 33-2=31, Resulting Numbers: [41, 31] Generated Node #0,4,0: 32:[41, 31] Operation: 33-2=31 Exploring Operation: 33+2=35, Resulting Numbers: [41, 35] Generated Node #0,4,1: 32:[41, 35] Operation: 33+2=35 Exploring Operation: 41-33=8, Resulting Numbers: [2, 8] Generated Node #0,4,2: 32:[2, 8] Operation: 41-33=8 Exploring Operation: 2+41=43, Resulting Numbers: [33, 43] Generated Node #0,4,3: 32:[33, 43] Operation: 2+41=43 Exploring Operation: 41-2=39, Resulting Numbers: [33, 39] Generated Node #0,4,4: 32:[33, 39] Operation: 41-2=39 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 32:[2, 8], Operations: ['60-19=41', '41-33=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,32 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,32 unequal: No Solution Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,32 unequal: No Solution No 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: 32:[33, 39], Operations: ['60-19=41', '41-2=39'] Exploring Operation: 33*39=1287, Resulting Numbers: [1287] 1287,32 unequal: No Solution Exploring Operation: 33+39=72, Resulting Numbers: [72] 72,32 unequal: No Solution Exploring Operation: 39-33=6, Resulting Numbers: [6] 6,32 unequal: No Solution No 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: 32:[41, 31], Operations: ['60-19=41', '33-2=31'] Exploring Operation: 41+31=72, Resulting Numbers: [72] 72,32 unequal: No Solution Exploring Operation: 41-31=10, Resulting Numbers: [10] 10,32 unequal: No Solution Exploring Operation: 41*31=1271, Resulting Numbers: [1271] 1271,32 unequal: No Solution No 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: 32:[41, 35], Operations: ['60-19=41', '33+2=35'] Exploring Operation: 41*35=1435, Resulting Numbers: [1435] 1435,32 unequal: No Solution Exploring Operation: 41-35=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 41+35=76, Resulting Numbers: [76] 76,32 unequal: No Solution No 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: 32:[33, 43], Operations: ['60-19=41', '2+41=43'] Exploring Operation: 33*43=1419, Resulting Numbers: [1419] 1419,32 unequal: No Solution Exploring Operation: 33+43=76, Resulting Numbers: [76] 76,32 unequal: No Solution Exploring Operation: 43-33=10, Resulting Numbers: [10] 10,32 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: 32:[2, 60, 14], Operations: ['33-19=14'] Exploring Operation: 2+14=16, Resulting Numbers: [60, 16] Generated Node #0,1,0: 32:[60, 16] Operation: 2+14=16 Exploring Operation: 14/2=7, Resulting Numbers: [60, 7] Generated Node #0,1,1: 32:[60, 7] Operation: 14/2=7 Exploring Operation: 60-14=46, Resulting Numbers: [2, 46] Generated Node #0,1,2: 32:[2, 46] Operation: 60-14=46 Exploring Operation: 60-2=58, Resulting Numbers: [14, 58] Generated Node #0,1,3: 32:[14, 58] Operation: 60-2=58 Exploring Operation: 60/2=30, Resulting Numbers: [14, 30] Generated Node #0,1,4: 32:[14, 30] Operation: 60/2=30 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 32:[14, 30], Operations: ['33-19=14', '60/2=30'] Exploring Operation: 14*30=420, Resulting Numbers: [420] 420,32 unequal: No Solution Exploring Operation: 14+30=44, Resulting Numbers: [44] 44,32 unequal: No Solution Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,32 unequal: No Solution No 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: 32:[2, 46], Operations: ['33-19=14', '60-14=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,32 unequal: No Solution Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,32 unequal: No Solution Exploring Operation: 2+46=48, Resulting Numbers: [48] 48,32 unequal: No Solution Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,32 unequal: No Solution No 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: 32:[60, 16], Operations: ['33-19=14', '2+14=16'] Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,32 unequal: No Solution Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,32 unequal: No Solution Exploring Operation: 60*16=960, Resulting Numbers: [960] 960,32 unequal: No Solution No 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: 32:[14, 58], Operations: ['33-19=14', '60-2=58'] Exploring Operation: 14*58=812, Resulting Numbers: [812] 812,32 unequal: No Solution Exploring Operation: 14+58=72, Resulting Numbers: [72] 72,32 unequal: No Solution Exploring Operation: 58-14=44, Resulting Numbers: [44] 44,32 unequal: No Solution No 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: 32:[60, 7], Operations: ['33-19=14', '14/2=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,32 unequal: No Solution Exploring Operation: 60*7=420, Resulting Numbers: [420] 420,32 unequal: No Solution Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,32 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: 32:[33, 60, 17], Operations: ['19-2=17'] Exploring Operation: 60+17=77, Resulting Numbers: [33, 77] Generated Node #0,2,0: 32:[33, 77] Operation: 60+17=77 Exploring Operation: 60-33=27, Resulting Numbers: [17, 27] Generated Node #0,2,1: 32:[17, 27] Operation: 60-33=27 Exploring Operation: 33-17=16, Resulting Numbers: [60, 16] Generated Node #0,2,2: 32:[60, 16] Operation: 33-17=16 Exploring Operation: 60-17=43, Resulting Numbers: [33, 43] Generated Node #0,2,3: 32:[33, 43] Operation: 60-17=43 Exploring Operation: 33+17=50, Resulting Numbers: [60, 50] Generated Node #0,2,4: 32:[60, 50] Operation: 33+17=50 Moving to Node #0,0,0 Current State: 32:[2, 8], Operations: ['60-33=27', '27-19=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,32 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,32 unequal: No Solution Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,32 unequal: No Solution Moving to Node #0,0,3 Current State: 32:[27, 17], Operations: ['60-33=27', '19-2=17'] Exploring Operation: 27*17=459, Resulting Numbers: [459] 459,32 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,32 unequal: No Solution Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,32 unequal: No Solution Moving to Node #0,2,1 Current State: 32:[17, 27], Operations: ['19-2=17', '60-33=27'] Exploring Operation: 17*27=459, Resulting Numbers: [459] 459,32 unequal: No Solution Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,32 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,32 unequal: No Solution Moving to Node #0,0,2 Current State: 32:[19, 29], Operations: ['60-33=27', '2+27=29'] Exploring Operation: 19+29=48, Resulting Numbers: [48] 48,32 unequal: No Solution Exploring Operation: 19*29=551, Resulting Numbers: [551] 551,32 unequal: No Solution Exploring Operation: 29-19=10, Resulting Numbers: [10] 10,32 unequal: No Solution Moving to Node #0,0,4 Current State: 32:[27, 21], Operations: ['60-33=27', '19+2=21'] Exploring Operation: 27-21=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 27*21=567, Resulting Numbers: [567] 567,32 unequal: No Solution Exploring Operation: 27+21=48, Resulting Numbers: [48] 48,32 unequal: No Solution Moving to Node #0,0,1 Current State: 32:[19, 25], Operations: ['60-33=27', '27-2=25'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,32 unequal: No Solution Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,32 unequal: No Solution Exploring Operation: 19*25=475, Resulting Numbers: [475] 475,32 unequal: No Solution Moving to Node #0,2,3 Current State: 32:[33, 43], Operations: ['19-2=17', '60-17=43'] Exploring Operation: 33+43=76, Resulting Numbers: [76] 76,32 unequal: No Solution Exploring Operation: 43-33=10, Resulting Numbers: [10] 10,32 unequal: No Solution Exploring Operation: 33*43=1419, Resulting Numbers: [1419] 1419,32 unequal: No Solution Moving to Node #0,2,2 Current State: 32:[60, 16], Operations: ['19-2=17', '33-17=16'] Exploring Operation: 60*16=960, Resulting Numbers: [960] 960,32 unequal: No Solution Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,32 unequal: No Solution Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,32 unequal: No Solution Moving to Node #0,2,0 Current State: 32:[33, 77], Operations: ['19-2=17', '60+17=77'] Exploring Operation: 77-33=44, Resulting Numbers: [44] 44,32 unequal: No Solution Exploring Operation: 33*77=2541, Resulting Numbers: [2541] 2541,32 unequal: No Solution Exploring Operation: 33+77=110, Resulting Numbers: [110] 110,32 unequal: No Solution Moving to Node #0,2,4 Current State: 32:[60, 50], Operations: ['19-2=17', '33+17=50'] Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,32 unequal: No Solution Exploring Operation: 60*50=3000, Resulting Numbers: [3000] 3000,32 unequal: No Solution Exploring Operation: 60+50=110, Resulting Numbers: [110] 110,32 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 4, 25, 68, 47 ]
86
[ "4+25=29", "68+47=115", "115-29=86" ]
Current State: 86:[4, 25, 68, 47], Operations: [] Exploring Operation: 4+25=29, Resulting Numbers: [68, 47, 29] Generated Node #2: [68, 47, 29] from Operation: 4+25=29 Current State: 86:[68, 47, 29], Operations: ['4+25=29'] Exploring Operation: 68+47=115, Resulting Numbers: [29, 115] Generated Node #3: [29, 115] from Operation: 68+47=115 Current State: 86:[29, 115], Operations: ['4+25=29', '68+47=115'] Exploring Operation: 115-29=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[4, 25, 68, 47], Operations: [] Exploring Operation: 68-25=43, Resulting Numbers: [4, 47, 43] Generated Node #0,0: 86:[4, 47, 43] Operation: 68-25=43 Exploring Operation: 25+68=93, Resulting Numbers: [4, 47, 93] Generated Node #0,1: 86:[4, 47, 93] Operation: 25+68=93 Exploring Operation: 25+47=72, Resulting Numbers: [4, 68, 72] Generated Node #0,2: 86:[4, 68, 72] Operation: 25+47=72 Start Sub Search at level 1: Moving to Node #0,0 Current State: 86:[4, 47, 43], Operations: ['68-25=43'] Exploring Operation: 47-43=4, Resulting Numbers: [4, 4] Generated Node #0,0,0: 86:[4, 4] Operation: 47-43=4 Exploring Operation: 47-4=43, Resulting Numbers: [43, 43] Generated Node #0,0,1: 86:[43, 43] Operation: 47-4=43 Exploring Operation: 47+43=90, Resulting Numbers: [4, 90] Generated Node #0,0,2: 86:[4, 90] Operation: 47+43=90 Moving to Node #0,0,1 Current State: 86:[43, 43], Operations: ['68-25=43', '47-4=43'] Exploring Operation: 43/43=1, Resulting Numbers: [1] 1,86 unequal: No Solution Exploring Operation: 43+43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[4, 25, 68, 47], Operations: [] Exploring Operation: 68-25=43, Resulting Numbers: [4, 47, 43] Generated Node #0,0: 86:[4, 47, 43] Operation: 68-25=43 Moving to Node #0,0 Current State: 86:[4, 47, 43], Operations: ['68-25=43'] Exploring Operation: 47-4=43, Resulting Numbers: [43, 43] Generated Node #0,0,1: 86:[43, 43] Operation: 47-4=43 Moving to Node #0,0,1 Current State: 86:[43, 43], Operations: ['68-25=43', '47-4=43'] Exploring Operation: 43+43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_3
sum_heuristic
[ 40, 24, 43, 30 ]
18
[ "43-40=3", "24+30=54", "54/3=18" ]
Current State: 18:[40, 24, 43, 30], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [24, 30, 3] Generated Node #2: [24, 30, 3] from Operation: 43-40=3 Current State: 18:[24, 30, 3], Operations: ['43-40=3'] Exploring Operation: 24+30=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 24+30=54 Current State: 18:[3, 54], Operations: ['43-40=3', '24+30=54'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[40, 24, 43, 30], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [40, 24, 13] Generated Node #0,0: 18:[40, 24, 13] Operation: 43-30=13 Exploring Operation: 43-40=3, Resulting Numbers: [24, 30, 3] Generated Node #0,1: 18:[24, 30, 3] Operation: 43-40=3 Exploring Operation: 40-30=10, Resulting Numbers: [24, 43, 10] Generated Node #0,2: 18:[24, 43, 10] Operation: 40-30=10 Start Sub Search at level 1: Moving to Node #0,1 Current State: 18:[24, 30, 3], Operations: ['43-40=3'] Exploring Operation: 24/3=8, Resulting Numbers: [30, 8] Generated Node #0,1,0: 18:[30, 8] Operation: 24/3=8 Exploring Operation: 30-24=6, Resulting Numbers: [3, 6] Generated Node #0,1,1: 18:[3, 6] Operation: 30-24=6 Exploring Operation: 30/3=10, Resulting Numbers: [24, 10] Generated Node #0,1,2: 18:[24, 10] Operation: 30/3=10 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 18:[3, 6], Operations: ['43-40=3', '30-24=6'] Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,18 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,18 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[40, 24, 43, 30], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [24, 30, 3] Generated Node #0,1: 18:[24, 30, 3] Operation: 43-40=3 Moving to Node #0,1 Current State: 18:[24, 30, 3], Operations: ['43-40=3'] Exploring Operation: 30-24=6, Resulting Numbers: [3, 6] Generated Node #0,1,1: 18:[3, 6] Operation: 30-24=6 Moving to Node #0,1,1 Current State: 18:[3, 6], Operations: ['43-40=3', '30-24=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 50, 1, 78, 90 ]
38
[ "50*1=50", "90-78=12", "50-12=38" ]
Current State: 38:[50, 1, 78, 90], Operations: [] Exploring Operation: 50*1=50, Resulting Numbers: [78, 90, 50] Generated Node #2: [78, 90, 50] from Operation: 50*1=50 Current State: 38:[78, 90, 50], Operations: ['50*1=50'] Exploring Operation: 90-78=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 90-78=12 Current State: 38:[50, 12], Operations: ['50*1=50', '90-78=12'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[50, 1, 78, 90], Operations: [] Exploring Operation: 90-50=40, Resulting Numbers: [1, 78, 40] Generated Node #0,0: 38:[1, 78, 40] Operation: 90-50=40 Exploring Operation: 90-78=12, Resulting Numbers: [50, 1, 12] Generated Node #0,1: 38:[50, 1, 12] Operation: 90-78=12 Moving to Node #0,1 Current State: 38:[50, 1, 12], Operations: ['90-78=12'] Exploring Operation: 50-1=49, Resulting Numbers: [12, 49] Generated Node #0,1,0: 38:[12, 49] Operation: 50-1=49 Exploring Operation: 50-12=38, Resulting Numbers: [1, 38] Generated Node #0,1,1: 38:[1, 38] Operation: 50-12=38 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 38:[1, 38], Operations: ['90-78=12', '50-12=38'] Exploring Operation: 38/1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[50, 1, 78, 90], Operations: [] Exploring Operation: 90-78=12, Resulting Numbers: [50, 1, 12] Generated Node #0,1: 38:[50, 1, 12] Operation: 90-78=12 Moving to Node #0,1 Current State: 38:[50, 1, 12], Operations: ['90-78=12'] Exploring Operation: 50-12=38, Resulting Numbers: [1, 38] Generated Node #0,1,1: 38:[1, 38] Operation: 50-12=38 Moving to Node #0,1,1 Current State: 38:[1, 38], Operations: ['90-78=12', '50-12=38'] Exploring Operation: 38/1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 47, 31, 46, 87 ]
90
[ "47+46=93", "93/31=3", "87+3=90" ]
Current State: 90:[47, 31, 46, 87], Operations: [] Exploring Operation: 47+46=93, Resulting Numbers: [31, 87, 93] Generated Node #2: [31, 87, 93] from Operation: 47+46=93 Current State: 90:[31, 87, 93], Operations: ['47+46=93'] Exploring Operation: 93/31=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 93/31=3 Current State: 90:[87, 3], Operations: ['47+46=93', '93/31=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[47, 31, 46, 87], Operations: [] Exploring Operation: 47-31=16, Resulting Numbers: [46, 87, 16] Generated Node #0,0: 90:[46, 87, 16] Operation: 47-31=16 Moving to Node #0,0 Current State: 90:[46, 87, 16], Operations: ['47-31=16'] Exploring Operation: 46-16=30, Resulting Numbers: [87, 30] Generated Node #0,0,0: 90:[87, 30] Operation: 46-16=30 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 90:[87, 30], Operations: ['47-31=16', '46-16=30'] Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,90 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
[ 11, 60, 9, 74 ]
55
[ "60+9=69", "74-69=5", "11*5=55" ]
Current State: 55:[11, 60, 9, 74], Operations: [] Exploring Operation: 60+9=69, Resulting Numbers: [11, 74, 69] Generated Node #2: [11, 74, 69] from Operation: 60+9=69 Current State: 55:[11, 74, 69], Operations: ['60+9=69'] Exploring Operation: 74-69=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 74-69=5 Current State: 55:[11, 5], Operations: ['60+9=69', '74-69=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[11, 60, 9, 74], Operations: [] Exploring Operation: 60-9=51, Resulting Numbers: [11, 74, 51] Generated Node #0,0: 55:[11, 74, 51] Operation: 60-9=51 Exploring Operation: 74-9=65, Resulting Numbers: [11, 60, 65] Generated Node #0,1: 55:[11, 60, 65] Operation: 74-9=65 Exploring Operation: 74-11=63, Resulting Numbers: [60, 9, 63] Generated Node #0,2: 55:[60, 9, 63] Operation: 74-11=63 Exploring Operation: 74-60=14, Resulting Numbers: [11, 9, 14] Generated Node #0,3: 55:[11, 9, 14] Operation: 74-60=14 Start Sub Search at level 1: Moving to Node #0,3 Current State: 55:[11, 9, 14], Operations: ['74-60=14'] Exploring Operation: 11-9=2, Resulting Numbers: [14, 2] Generated Node #0,3,0: 55:[14, 2] Operation: 11-9=2 Exploring Operation: 14-9=5, Resulting Numbers: [11, 5] Generated Node #0,3,1: 55:[11, 5] Operation: 14-9=5 Exploring Operation: 14-11=3, Resulting Numbers: [9, 3] Generated Node #0,3,2: 55:[9, 3] Operation: 14-11=3 Exploring Operation: 11+9=20, Resulting Numbers: [14, 20] Generated Node #0,3,3: 55:[14, 20] Operation: 11+9=20 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 55:[11, 5], Operations: ['74-60=14', '14-9=5'] Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,55 unequal: No Solution Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[11, 60, 9, 74], Operations: [] Exploring Operation: 74-60=14, Resulting Numbers: [11, 9, 14] Generated Node #0,3: 55:[11, 9, 14] Operation: 74-60=14 Moving to Node #0,3 Current State: 55:[11, 9, 14], Operations: ['74-60=14'] Exploring Operation: 14-9=5, Resulting Numbers: [11, 5] Generated Node #0,3,1: 55:[11, 5] Operation: 14-9=5 Moving to Node #0,3,1 Current State: 55:[11, 5], Operations: ['74-60=14', '14-9=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_4
mult_heuristic
[ 71, 13, 15, 2 ]
62
[ "13*15=195", "195-71=124", "124/2=62" ]
Current State: 62:[71, 13, 15, 2], Operations: [] Exploring Operation: 13*15=195, Resulting Numbers: [71, 2, 195] Generated Node #2: [71, 2, 195] from Operation: 13*15=195 Current State: 62:[71, 2, 195], Operations: ['13*15=195'] Exploring Operation: 195-71=124, Resulting Numbers: [2, 124] Generated Node #3: [2, 124] from Operation: 195-71=124 Current State: 62:[2, 124], Operations: ['13*15=195', '195-71=124'] Exploring Operation: 124/2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[71, 13, 15, 2], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [71, 2, 2] Generated Node #0,0: 62:[71, 2, 2] Operation: 15-13=2 Exploring Operation: 71-13=58, Resulting Numbers: [15, 2, 58] Generated Node #0,1: 62:[15, 2, 58] Operation: 71-13=58 Exploring Operation: 13+15=28, Resulting Numbers: [71, 2, 28] Generated Node #0,2: 62:[71, 2, 28] Operation: 13+15=28 Moving to Node #0,0 Current State: 62:[71, 2, 2], Operations: ['15-13=2'] Exploring Operation: 71-2=69, Resulting Numbers: [2, 69] Generated Node #0,0,0: 62:[2, 69] Operation: 71-2=69 Exploring Operation: 2/2=1, Resulting Numbers: [71, 1] Generated Node #0,0,1: 62:[71, 1] Operation: 2/2=1 Exploring Operation: 71-2=69, Resulting Numbers: [2, 69] Generated Node #0,0,2: 62:[2, 69] Operation: 71-2=69 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 62:[2, 69], Operations: ['15-13=2', '71-2=69'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,62 unequal: No Solution Exploring Operation: 2+69=71, Resulting Numbers: [71] 71,62 unequal: No Solution Exploring Operation: 2*69=138, Resulting Numbers: [138] 138,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 62:[2, 69], Operations: ['15-13=2', '71-2=69'] Exploring Operation: 2*69=138, Resulting Numbers: [138] 138,62 unequal: No Solution Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,62 unequal: No Solution Exploring Operation: 2+69=71, Resulting Numbers: [71] 71,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 62:[71, 1], Operations: ['15-13=2', '2/2=1'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,62 unequal: No Solution Exploring Operation: 71/1=71, Resulting Numbers: [71] 71,62 unequal: No Solution Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,62 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: 62:[71, 2, 28], Operations: ['13+15=28'] Exploring Operation: 71-2=69, Resulting Numbers: [28, 69] Generated Node #0,2,0: 62:[28, 69] Operation: 71-2=69 Exploring Operation: 2+28=30, Resulting Numbers: [71, 30] Generated Node #0,2,1: 62:[71, 30] Operation: 2+28=30 Exploring Operation: 71-28=43, Resulting Numbers: [2, 43] Generated Node #0,2,2: 62:[2, 43] Operation: 71-28=43 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 62:[28, 69], Operations: ['13+15=28', '71-2=69'] Exploring Operation: 28*69=1932, Resulting Numbers: [1932] 1932,62 unequal: No Solution Exploring Operation: 28+69=97, Resulting Numbers: [97] 97,62 unequal: No Solution Exploring Operation: 69-28=41, Resulting Numbers: [41] 41,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 62:[71, 30], Operations: ['13+15=28', '2+28=30'] Exploring Operation: 71*30=2130, Resulting Numbers: [2130] 2130,62 unequal: No Solution Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,62 unequal: No Solution Exploring Operation: 71+30=101, Resulting Numbers: [101] 101,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 62:[2, 43], Operations: ['13+15=28', '71-28=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,62 unequal: No Solution Exploring Operation: 2+43=45, Resulting Numbers: [45] 45,62 unequal: No Solution Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 62:[15, 2, 58], Operations: ['71-13=58'] Exploring Operation: 15+58=73, Resulting Numbers: [2, 73] Generated Node #0,1,0: 62:[2, 73] Operation: 15+58=73 Exploring Operation: 15*2=30, Resulting Numbers: [58, 30] Generated Node #0,1,1: 62:[58, 30] Operation: 15*2=30 Exploring Operation: 58-15=43, Resulting Numbers: [2, 43] Generated Node #0,1,2: 62:[2, 43] Operation: 58-15=43 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 62:[58, 30], Operations: ['71-13=58', '15*2=30'] Exploring Operation: 58*30=1740, Resulting Numbers: [1740] 1740,62 unequal: No Solution Exploring Operation: 58+30=88, Resulting Numbers: [88] 88,62 unequal: No Solution Exploring Operation: 58-30=28, Resulting Numbers: [28] 28,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 62:[2, 73], Operations: ['71-13=58', '15+58=73'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,62 unequal: No Solution Exploring Operation: 2+73=75, Resulting Numbers: [75] 75,62 unequal: No Solution Exploring Operation: 2*73=146, Resulting Numbers: [146] 146,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 62:[2, 43], Operations: ['71-13=58', '58-15=43'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,62 unequal: No Solution Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,62 unequal: No Solution Exploring Operation: 2+43=45, Resulting Numbers: [45] 45,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 74, 93, 19, 38 ]
76
[ "93-74=19", "19+38=57", "19+57=76" ]
Current State: 76:[74, 93, 19, 38], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [19, 38, 19] Generated Node #2: [19, 38, 19] from Operation: 93-74=19 Current State: 76:[19, 38, 19], Operations: ['93-74=19'] Exploring Operation: 19+38=57, Resulting Numbers: [57] 57,76 equal: Goal Reached Exploring Operation: 19+57=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[74, 93, 19, 38], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [93, 19, 36] Generated Node #0,0: 76:[93, 19, 36] Operation: 74-38=36 Exploring Operation: 93-74=19, Resulting Numbers: [19, 38, 19] Generated Node #0,1: 76:[19, 38, 19] Operation: 93-74=19 Exploring Operation: 93-38=55, Resulting Numbers: [74, 19, 55] Generated Node #0,2: 76:[74, 19, 55] Operation: 93-38=55 Exploring Operation: 38-19=19, Resulting Numbers: [74, 93, 19] Generated Node #0,3: 76:[74, 93, 19] Operation: 38-19=19 Exploring Operation: 93-19=74, Resulting Numbers: [74, 38, 74] Generated Node #0,4: 76:[74, 38, 74] Operation: 93-19=74 Start Sub Search at level 1: Moving to Node #0,1 Current State: 76:[19, 38, 19], Operations: ['93-74=19'] Exploring Operation: 38-19=19, Resulting Numbers: [19, 19] Generated Node #0,1,0: 76:[19, 19] Operation: 38-19=19 Exploring Operation: 38/19=2, Resulting Numbers: [19, 2] Generated Node #0,1,1: 76:[19, 2] Operation: 38/19=2 Exploring Operation: 38/19=2, Resulting Numbers: [19, 2] Generated Node #0,1,2: 76:[19, 2] Operation: 38/19=2 Exploring Operation: 38-19=19, Resulting Numbers: [19, 19] Generated Node #0,1,3: 76:[19, 19] Operation: 38-19=19 Exploring Operation: 19+19=38, Resulting Numbers: [38, 38] Generated Node #0,1,4: 76:[38, 38] Operation: 19+19=38 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 76:[19, 19], Operations: ['93-74=19', '38-19=19'] Exploring Operation: 19/19=1, Resulting Numbers: [1] 1,76 unequal: No Solution Exploring Operation: 19*19=361, Resulting Numbers: [361] 361,76 unequal: No Solution Exploring Operation: 19+19=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 19-19=0, Resulting Numbers: [0] 0,76 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: 76:[19, 2], Operations: ['93-74=19', '38/19=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,76 unequal: No Solution Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,76 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: 76:[19, 2], Operations: ['93-74=19', '38/19=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,76 unequal: No Solution Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,76 unequal: No Solution Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,76 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: 76:[19, 19], Operations: ['93-74=19', '38-19=19'] Exploring Operation: 19-19=0, Resulting Numbers: [0] 0,76 unequal: No Solution Exploring Operation: 19/19=1, Resulting Numbers: [1] 1,76 unequal: No Solution Exploring Operation: 19*19=361, Resulting Numbers: [361] 361,76 unequal: No Solution Exploring Operation: 19+19=38, Resulting Numbers: [38] 38,76 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: 76:[38, 38], Operations: ['93-74=19', '19+19=38'] Exploring Operation: 38-38=0, Resulting Numbers: [0] 0,76 unequal: No Solution Exploring Operation: 38+38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached Moving to Node #0 Current State: 76:[74, 93, 19, 38], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [19, 38, 19] Generated Node #0,1: 76:[19, 38, 19] Operation: 93-74=19 Moving to Node #0,1 Current State: 76:[19, 38, 19], Operations: ['93-74=19'] Exploring Operation: 19+19=38, Resulting Numbers: [38, 38] Generated Node #0,1,4: 76:[38, 38] Operation: 19+19=38 Moving to Node #0,1,4 Current State: 76:[38, 38], Operations: ['93-74=19', '19+19=38'] Exploring Operation: 38+38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.973958
hs_5
mult_heuristic
[ 38, 71, 62, 5 ]
49
[ "62-38=24", "5*24=120", "120-71=49" ]
Current State: 49:[38, 71, 62, 5], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [71, 5, 24] Generated Node #2: [71, 5, 24] from Operation: 62-38=24 Current State: 49:[71, 5, 24], Operations: ['62-38=24'] Exploring Operation: 5*24=120, Resulting Numbers: [71, 120] Generated Node #3: [71, 120] from Operation: 5*24=120 Current State: 49:[71, 120], Operations: ['62-38=24', '5*24=120'] Exploring Operation: 120-71=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[38, 71, 62, 5], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [38, 5, 9] Generated Node #0,0: 49:[38, 5, 9] Operation: 71-62=9 Exploring Operation: 71-38=33, Resulting Numbers: [62, 5, 33] Generated Node #0,1: 49:[62, 5, 33] Operation: 71-38=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 49:[38, 5, 9], Operations: ['71-62=9'] Exploring Operation: 38+9=47, Resulting Numbers: [5, 47] Generated Node #0,0,0: 49:[5, 47] Operation: 38+9=47 Exploring Operation: 38+5=43, Resulting Numbers: [9, 43] Generated Node #0,0,1: 49:[9, 43] Operation: 38+5=43 Moving to Node #0,0,0 Current State: 49:[5, 47], Operations: ['71-62=9', '38+9=47'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,49 unequal: No Solution Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,49 unequal: No Solution Moving to Node #0,0,1 Current State: 49:[9, 43], Operations: ['71-62=9', '38+5=43'] Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,49 unequal: No Solution Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,49 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 Current State: 49:[62, 5, 33], Operations: ['71-38=33'] Exploring Operation: 62-33=29, Resulting Numbers: [5, 29] Generated Node #0,1,0: 49:[5, 29] Operation: 62-33=29 Exploring Operation: 62-5=57, Resulting Numbers: [33, 57] Generated Node #0,1,1: 49:[33, 57] Operation: 62-5=57 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 49:[5, 29], Operations: ['71-38=33', '62-33=29'] Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,49 unequal: No Solution Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 49:[33, 57], Operations: ['71-38=33', '62-5=57'] Exploring Operation: 33+57=90, Resulting Numbers: [90] 90,49 unequal: No Solution Exploring Operation: 57-33=24, Resulting Numbers: [24] 24,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 73, 86, 91, 25 ]
21
[ "73*25=1825", "86+1825=1911", "1911/91=21" ]
Current State: 21:[73, 86, 91, 25], Operations: [] Exploring Operation: 73*25=1825, Resulting Numbers: [86, 91, 1825] Generated Node #2: [86, 91, 1825] from Operation: 73*25=1825 Current State: 21:[86, 91, 1825], Operations: ['73*25=1825'] Exploring Operation: 86+1825=1911, Resulting Numbers: [91, 1911] Generated Node #3: [91, 1911] from Operation: 86+1825=1911 Current State: 21:[91, 1911], Operations: ['73*25=1825', '86+1825=1911'] Exploring Operation: 1911/91=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[73, 86, 91, 25], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [73, 25, 5] Generated Node #0,0: 21:[73, 25, 5] Operation: 91-86=5 Exploring Operation: 91-73=18, Resulting Numbers: [86, 25, 18] Generated Node #0,1: 21:[86, 25, 18] Operation: 91-73=18 Moving to Node #0,0 Current State: 21:[73, 25, 5], Operations: ['91-86=5'] Exploring Operation: 73-5=68, Resulting Numbers: [25, 68] Generated Node #0,0,0: 21:[25, 68] Operation: 73-5=68 Exploring Operation: 73-25=48, Resulting Numbers: [5, 48] Generated Node #0,0,1: 21:[5, 48] Operation: 73-25=48 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 21:[5, 48], Operations: ['91-86=5', '73-25=48'] Exploring Operation: 5+48=53, Resulting Numbers: [53] 53,21 unequal: No Solution Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,21 unequal: No Solution No 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: 21:[25, 68], Operations: ['91-86=5', '73-5=68'] Exploring Operation: 25+68=93, Resulting Numbers: [93] 93,21 unequal: No Solution Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,21 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: 21:[86, 25, 18], Operations: ['91-73=18'] Exploring Operation: 86-25=61, Resulting Numbers: [18, 61] Generated Node #0,1,0: 21:[18, 61] Operation: 86-25=61 Exploring Operation: 86-18=68, Resulting Numbers: [25, 68] Generated Node #0,1,1: 21:[25, 68] Operation: 86-18=68 Moving to Node #0,1,0 Current State: 21:[18, 61], Operations: ['91-73=18', '86-25=61'] Exploring Operation: 18+61=79, Resulting Numbers: [79] 79,21 unequal: No Solution Exploring Operation: 61-18=43, Resulting Numbers: [43] 43,21 unequal: No Solution Moving to Node #0,1,1 Current State: 21:[25, 68], Operations: ['91-73=18', '86-18=68'] Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,21 unequal: No Solution Exploring Operation: 25+68=93, Resulting Numbers: [93] 93,21 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 55, 84, 6, 26 ]
58
[ "84-6=78", "78/26=3", "55+3=58" ]
Current State: 58:[55, 84, 6, 26], Operations: [] Exploring Operation: 84-6=78, Resulting Numbers: [55, 26, 78] Generated Node #2: [55, 26, 78] from Operation: 84-6=78 Current State: 58:[55, 26, 78], Operations: ['84-6=78'] Exploring Operation: 78/26=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 78/26=3 Current State: 58:[55, 3], Operations: ['84-6=78', '78/26=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[55, 84, 6, 26], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [6, 26, 29] Generated Node #0,0: 58:[6, 26, 29] Operation: 84-55=29 Exploring Operation: 84-26=58, Resulting Numbers: [55, 6, 58] Generated Node #0,1: 58:[55, 6, 58] Operation: 84-26=58 Exploring Operation: 84-6=78, Resulting Numbers: [55, 26, 78] Generated Node #0,2: 58:[55, 26, 78] Operation: 84-6=78 Exploring Operation: 84/6=14, Resulting Numbers: [55, 26, 14] Generated Node #0,3: 58:[55, 26, 14] Operation: 84/6=14 Moving to Node #0,0 Current State: 58:[6, 26, 29], Operations: ['84-55=29'] Exploring Operation: 6+26=32, Resulting Numbers: [29, 32] Generated Node #0,0,0: 58:[29, 32] Operation: 6+26=32 Exploring Operation: 29-26=3, Resulting Numbers: [6, 3] Generated Node #0,0,1: 58:[6, 3] Operation: 29-26=3 Exploring Operation: 26+29=55, Resulting Numbers: [6, 55] Generated Node #0,0,2: 58:[6, 55] Operation: 26+29=55 Exploring Operation: 26-6=20, Resulting Numbers: [29, 20] Generated Node #0,0,3: 58:[29, 20] Operation: 26-6=20 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 58:[29, 32], Operations: ['84-55=29', '6+26=32'] Exploring Operation: 32-29=3, Resulting Numbers: [3] 3,58 unequal: No Solution Exploring Operation: 29*32=928, Resulting Numbers: [928] 928,58 unequal: No Solution Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 58:[6, 3], Operations: ['84-55=29', '29-26=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,58 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,58 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,58 unequal: No Solution Exploring Operation: 6+3=9, Resulting Numbers: [9] 9,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 58:[6, 55], Operations: ['84-55=29', '26+29=55'] Exploring Operation: 6+55=61, Resulting Numbers: [61] 61,58 unequal: No Solution Exploring Operation: 6*55=330, Resulting Numbers: [330] 330,58 unequal: No Solution Exploring Operation: 55-6=49, Resulting Numbers: [49] 49,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 58:[29, 20], Operations: ['84-55=29', '26-6=20'] Exploring Operation: 29*20=580, Resulting Numbers: [580] 580,58 unequal: No Solution Exploring Operation: 29+20=49, Resulting Numbers: [49] 49,58 unequal: No Solution Exploring Operation: 29-20=9, Resulting Numbers: [9] 9,58 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: 58:[55, 6, 58], Operations: ['84-26=58'] Exploring Operation: 55+6=61, Resulting Numbers: [58, 61] Generated Node #0,1,0: 58:[58, 61] Operation: 55+6=61 Exploring Operation: 58-55=3, Resulting Numbers: [6, 3] Generated Node #0,1,1: 58:[6, 3] Operation: 58-55=3 Exploring Operation: 55-6=49, Resulting Numbers: [58, 49] Generated Node #0,1,2: 58:[58, 49] Operation: 55-6=49 Exploring Operation: 6+58=64, Resulting Numbers: [55, 64] Generated Node #0,1,3: 58:[55, 64] Operation: 6+58=64 Moving to Node #0,3 Current State: 58:[55, 26, 14], Operations: ['84/6=14'] Exploring Operation: 55+14=69, Resulting Numbers: [26, 69] Generated Node #0,3,0: 58:[26, 69] Operation: 55+14=69 Exploring Operation: 55-26=29, Resulting Numbers: [14, 29] Generated Node #0,3,1: 58:[14, 29] Operation: 55-26=29 Exploring Operation: 26-14=12, Resulting Numbers: [55, 12] Generated Node #0,3,2: 58:[55, 12] Operation: 26-14=12 Exploring Operation: 26+14=40, Resulting Numbers: [55, 40] Generated Node #0,3,3: 58:[55, 40] Operation: 26+14=40 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 58:[14, 29], Operations: ['84/6=14', '55-26=29'] Exploring Operation: 14*29=406, Resulting Numbers: [406] 406,58 unequal: No Solution Exploring Operation: 14+29=43, Resulting Numbers: [43] 43,58 unequal: No Solution Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 58:[55, 12], Operations: ['84/6=14', '26-14=12'] Exploring Operation: 55-12=43, Resulting Numbers: [43] 43,58 unequal: No Solution Exploring Operation: 55+12=67, Resulting Numbers: [67] 67,58 unequal: No Solution Exploring Operation: 55*12=660, Resulting Numbers: [660] 660,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 58:[26, 69], Operations: ['84/6=14', '55+14=69'] Exploring Operation: 26*69=1794, Resulting Numbers: [1794] 1794,58 unequal: No Solution Exploring Operation: 69-26=43, Resulting Numbers: [43] 43,58 unequal: No Solution Exploring Operation: 26+69=95, Resulting Numbers: [95] 95,58 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 58:[55, 40], Operations: ['84/6=14', '26+14=40'] Exploring Operation: 55-40=15, Resulting Numbers: [15] 15,58 unequal: No Solution Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,58 unequal: No Solution Exploring Operation: 55*40=2200, Resulting Numbers: [2200] 2200,58 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: 58:[55, 26, 78], Operations: ['84-6=78'] Exploring Operation: 78-26=52, Resulting Numbers: [55, 52] Generated Node #0,2,0: 58:[55, 52] Operation: 78-26=52 Exploring Operation: 78-55=23, Resulting Numbers: [26, 23] Generated Node #0,2,1: 58:[26, 23] Operation: 78-55=23 Exploring Operation: 78/26=3, Resulting Numbers: [55, 3] Generated Node #0,2,2: 58:[55, 3] Operation: 78/26=3 Exploring Operation: 55-26=29, Resulting Numbers: [78, 29] Generated Node #0,2,3: 58:[78, 29] Operation: 55-26=29 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 58:[55, 3], Operations: ['84-6=78', '78/26=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,58 unequal: No Solution Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[55, 84, 6, 26], Operations: [] Exploring Operation: 84-6=78, Resulting Numbers: [55, 26, 78] Generated Node #0,2: 58:[55, 26, 78] Operation: 84-6=78 Moving to Node #0,2 Current State: 58:[55, 26, 78], Operations: ['84-6=78'] Exploring Operation: 78/26=3, Resulting Numbers: [55, 3] Generated Node #0,2,2: 58:[55, 3] Operation: 78/26=3 Moving to Node #0,2,2 Current State: 58:[55, 3], Operations: ['84-6=78', '78/26=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.955729
hs_4
mult_heuristic
[ 53, 42, 79, 64 ]
77
[ "42+64=106", "106/53=2", "79-2=77" ]
Current State: 77:[53, 42, 79, 64], Operations: [] Exploring Operation: 42+64=106, Resulting Numbers: [53, 79, 106] Generated Node #2: [53, 79, 106] from Operation: 42+64=106 Current State: 77:[53, 79, 106], Operations: ['42+64=106'] Exploring Operation: 106/53=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 106/53=2 Current State: 77:[79, 2], Operations: ['42+64=106', '106/53=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[53, 42, 79, 64], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [79, 64, 11] Generated Node #0,0: 77:[79, 64, 11] Operation: 53-42=11 Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[79, 64, 11], Operations: ['53-42=11'] Exploring Operation: 79-64=15, Resulting Numbers: [11, 15] Generated Node #0,0,0: 77:[11, 15] Operation: 79-64=15 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 77:[11, 15], Operations: ['53-42=11', '79-64=15'] Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,77 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
[ 17, 28, 38, 29 ]
78
[ "28-17=11", "38+29=67", "11+67=78" ]
Current State: 78:[17, 28, 38, 29], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [38, 29, 11] Generated Node #2: [38, 29, 11] from Operation: 28-17=11 Current State: 78:[38, 29, 11], Operations: ['28-17=11'] Exploring Operation: 38+29=67, Resulting Numbers: [11, 67] Generated Node #3: [11, 67] from Operation: 38+29=67 Current State: 78:[11, 67], Operations: ['28-17=11', '38+29=67'] Exploring Operation: 11+67=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[17, 28, 38, 29], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [28, 38, 12] Generated Node #0,0: 78:[28, 38, 12] Operation: 29-17=12 Moving to Node #0,0 Current State: 78:[28, 38, 12], Operations: ['29-17=12'] Exploring Operation: 28+12=40, Resulting Numbers: [38, 40] Generated Node #0,0,0: 78:[38, 40] Operation: 28+12=40 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 78:[38, 40], Operations: ['29-17=12', '28+12=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[17, 28, 38, 29], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [28, 38, 12] Generated Node #0,0: 78:[28, 38, 12] Operation: 29-17=12 Moving to Node #0,0 Current State: 78:[28, 38, 12], Operations: ['29-17=12'] Exploring Operation: 28+12=40, Resulting Numbers: [38, 40] Generated Node #0,0,0: 78:[38, 40] Operation: 28+12=40 Moving to Node #0,0,0 Current State: 78:[38, 40], Operations: ['29-17=12', '28+12=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 69, 36, 57, 27 ]
35
[ "69*36=2484", "2484/27=92", "92-57=35" ]
Current State: 35:[69, 36, 57, 27], Operations: [] Exploring Operation: 69*36=2484, Resulting Numbers: [57, 27, 2484] Generated Node #2: [57, 27, 2484] from Operation: 69*36=2484 Current State: 35:[57, 27, 2484], Operations: ['69*36=2484'] Exploring Operation: 2484/27=92, Resulting Numbers: [57, 92] Generated Node #3: [57, 92] from Operation: 2484/27=92 Current State: 35:[57, 92], Operations: ['69*36=2484', '2484/27=92'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[69, 36, 57, 27], Operations: [] Exploring Operation: 69-27=42, Resulting Numbers: [36, 57, 42] Generated Node #0,0: 35:[36, 57, 42] Operation: 69-27=42 Exploring Operation: 57-36=21, Resulting Numbers: [69, 27, 21] Generated Node #0,1: 35:[69, 27, 21] Operation: 57-36=21 Exploring Operation: 57-27=30, Resulting Numbers: [69, 36, 30] Generated Node #0,2: 35:[69, 36, 30] Operation: 57-27=30 Exploring Operation: 69-36=33, Resulting Numbers: [57, 27, 33] Generated Node #0,3: 35:[57, 27, 33] Operation: 69-36=33 Exploring Operation: 69-57=12, Resulting Numbers: [36, 27, 12] Generated Node #0,4: 35:[36, 27, 12] Operation: 69-57=12 Moving to Node #0,4 Current State: 35:[36, 27, 12], Operations: ['69-57=12'] Exploring Operation: 36-27=9, Resulting Numbers: [12, 9] Generated Node #0,4,0: 35:[12, 9] Operation: 36-27=9 Exploring Operation: 36/12=3, Resulting Numbers: [27, 3] Generated Node #0,4,1: 35:[27, 3] Operation: 36/12=3 Exploring Operation: 36-12=24, Resulting Numbers: [27, 24] Generated Node #0,4,2: 35:[27, 24] Operation: 36-12=24 Exploring Operation: 27+12=39, Resulting Numbers: [36, 39] Generated Node #0,4,3: 35:[36, 39] Operation: 27+12=39 Exploring Operation: 27-12=15, Resulting Numbers: [36, 15] Generated Node #0,4,4: 35:[36, 15] Operation: 27-12=15 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 35:[36, 39], Operations: ['69-57=12', '27+12=39'] Exploring Operation: 36*39=1404, Resulting Numbers: [1404] 1404,35 unequal: No Solution Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,35 unequal: No Solution Exploring Operation: 39-36=3, Resulting Numbers: [3] 3,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 35:[12, 9], Operations: ['69-57=12', '36-27=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 12-9=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 12*9=108, Resulting Numbers: [108] 108,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 35:[36, 15], Operations: ['69-57=12', '27-12=15'] Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 36+15=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 36*15=540, Resulting Numbers: [540] 540,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 35:[27, 3], Operations: ['69-57=12', '36/12=3'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,35 unequal: No Solution Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,35 unequal: No Solution Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 35:[27, 24], Operations: ['69-57=12', '36-12=24'] Exploring Operation: 27*24=648, Resulting Numbers: [648] 648,35 unequal: No Solution Exploring Operation: 27+24=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,35 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:[36, 57, 42], Operations: ['69-27=42'] Exploring Operation: 36+42=78, Resulting Numbers: [57, 78] Generated Node #0,0,0: 35:[57, 78] Operation: 36+42=78 Exploring Operation: 36+57=93, Resulting Numbers: [42, 93] Generated Node #0,0,1: 35:[42, 93] Operation: 36+57=93 Exploring Operation: 57-42=15, Resulting Numbers: [36, 15] Generated Node #0,0,2: 35:[36, 15] Operation: 57-42=15 Exploring Operation: 57-36=21, Resulting Numbers: [42, 21] Generated Node #0,0,3: 35:[42, 21] Operation: 57-36=21 Exploring Operation: 42-36=6, Resulting Numbers: [57, 6] Generated Node #0,0,4: 35:[57, 6] Operation: 42-36=6 Moving to Node #0,3 Current State: 35:[57, 27, 33], Operations: ['69-36=33'] Exploring Operation: 57-27=30, Resulting Numbers: [33, 30] Generated Node #0,3,0: 35:[33, 30] Operation: 57-27=30 Exploring Operation: 33-27=6, Resulting Numbers: [57, 6] Generated Node #0,3,1: 35:[57, 6] Operation: 33-27=6 Exploring Operation: 57-33=24, Resulting Numbers: [27, 24] Generated Node #0,3,2: 35:[27, 24] Operation: 57-33=24 Exploring Operation: 27+33=60, Resulting Numbers: [57, 60] Generated Node #0,3,3: 35:[57, 60] Operation: 27+33=60 Exploring Operation: 57+27=84, Resulting Numbers: [33, 84] Generated Node #0,3,4: 35:[33, 84] Operation: 57+27=84 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 35:[33, 30], Operations: ['69-36=33', '57-27=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 33-30=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 33*30=990, Resulting Numbers: [990] 990,35 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 #0,3,2 Current State: 35:[27, 24], Operations: ['69-36=33', '57-33=24'] Exploring Operation: 27*24=648, Resulting Numbers: [648] 648,35 unequal: No Solution Exploring Operation: 27+24=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,35 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 #0,3,1 Current State: 35:[57, 6], Operations: ['69-36=33', '33-27=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 57*6=342, Resulting Numbers: [342] 342,35 unequal: No Solution Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,35 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 #0,3,3 Current State: 35:[57, 60], Operations: ['69-36=33', '27+33=60'] Exploring Operation: 57*60=3420, Resulting Numbers: [3420] 3420,35 unequal: No Solution Exploring Operation: 60-57=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 57+60=117, Resulting Numbers: [117] 117,35 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 #0,3,4 Current State: 35:[33, 84], Operations: ['69-36=33', '57+27=84'] Exploring Operation: 33*84=2772, Resulting Numbers: [2772] 2772,35 unequal: No Solution Exploring Operation: 33+84=117, Resulting Numbers: [117] 117,35 unequal: No Solution Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,35 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: 35:[69, 36, 30], Operations: ['57-27=30'] Exploring Operation: 36+30=66, Resulting Numbers: [69, 66] Generated Node #0,2,0: 35:[69, 66] Operation: 36+30=66 Exploring Operation: 36-30=6, Resulting Numbers: [69, 6] Generated Node #0,2,1: 35:[69, 6] Operation: 36-30=6 Exploring Operation: 69+30=99, Resulting Numbers: [36, 99] Generated Node #0,2,2: 35:[36, 99] Operation: 69+30=99 Exploring Operation: 69-36=33, Resulting Numbers: [30, 33] Generated Node #0,2,3: 35:[30, 33] Operation: 69-36=33 Exploring Operation: 69-30=39, Resulting Numbers: [36, 39] Generated Node #0,2,4: 35:[36, 39] Operation: 69-30=39 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 35:[36, 39], Operations: ['57-27=30', '69-30=39'] Exploring Operation: 39-36=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,35 unequal: No Solution Exploring Operation: 36*39=1404, Resulting Numbers: [1404] 1404,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 35:[30, 33], Operations: ['57-27=30', '69-36=33'] Exploring Operation: 30*33=990, Resulting Numbers: [990] 990,35 unequal: No Solution Exploring Operation: 33-30=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 30+33=63, Resulting Numbers: [63] 63,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 35:[69, 6], Operations: ['57-27=30', '36-30=6'] Exploring Operation: 69*6=414, Resulting Numbers: [414] 414,35 unequal: No Solution Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,35 unequal: No Solution Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 35:[69, 66], Operations: ['57-27=30', '36+30=66'] Exploring Operation: 69+66=135, Resulting Numbers: [135] 135,35 unequal: No Solution Exploring Operation: 69*66=4554, Resulting Numbers: [4554] 4554,35 unequal: No Solution Exploring Operation: 69-66=3, Resulting Numbers: [3] 3,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 35:[36, 99], Operations: ['57-27=30', '69+30=99'] Exploring Operation: 99-36=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 36+99=135, Resulting Numbers: [135] 135,35 unequal: No Solution Exploring Operation: 36*99=3564, Resulting Numbers: [3564] 3564,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 35:[69, 27, 21], Operations: ['57-36=21'] Exploring Operation: 27+21=48, Resulting Numbers: [69, 48] Generated Node #0,1,0: 35:[69, 48] Operation: 27+21=48 Exploring Operation: 27-21=6, Resulting Numbers: [69, 6] Generated Node #0,1,1: 35:[69, 6] Operation: 27-21=6 Exploring Operation: 69-27=42, Resulting Numbers: [21, 42] Generated Node #0,1,2: 35:[21, 42] Operation: 69-27=42 Exploring Operation: 69-21=48, Resulting Numbers: [27, 48] Generated Node #0,1,3: 35:[27, 48] Operation: 69-21=48 Exploring Operation: 69+21=90, Resulting Numbers: [27, 90] Generated Node #0,1,4: 35:[27, 90] Operation: 69+21=90 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 35:[21, 42], Operations: ['57-36=21', '69-27=42'] Exploring Operation: 42/21=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 21+42=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 21*42=882, Resulting Numbers: [882] 882,35 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 #0,1,3 Current State: 35:[27, 48], Operations: ['57-36=21', '69-21=48'] Exploring Operation: 27+48=75, Resulting Numbers: [75] 75,35 unequal: No Solution Exploring Operation: 27*48=1296, Resulting Numbers: [1296] 1296,35 unequal: No Solution Exploring Operation: 48-27=21, Resulting Numbers: [21] 21,35 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:[69, 6], Operations: ['57-36=21', '27-21=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,35 unequal: No Solution Exploring Operation: 69*6=414, Resulting Numbers: [414] 414,35 unequal: No Solution Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,35 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:[69, 48], Operations: ['57-36=21', '27+21=48'] Exploring Operation: 69+48=117, Resulting Numbers: [117] 117,35 unequal: No Solution Exploring Operation: 69*48=3312, Resulting Numbers: [3312] 3312,35 unequal: No Solution Exploring Operation: 69-48=21, Resulting Numbers: [21] 21,35 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 #0,1,4 Current State: 35:[27, 90], Operations: ['57-36=21', '69+21=90'] Exploring Operation: 27+90=117, Resulting Numbers: [117] 117,35 unequal: No Solution Exploring Operation: 27*90=2430, Resulting Numbers: [2430] 2430,35 unequal: No Solution Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,2 Current State: 35:[36, 15], Operations: ['69-27=42', '57-42=15'] Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 36*15=540, Resulting Numbers: [540] 540,35 unequal: No Solution Exploring Operation: 36+15=51, Resulting Numbers: [51] 51,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[42, 21], Operations: ['69-27=42', '57-36=21'] Exploring Operation: 42*21=882, Resulting Numbers: [882] 882,35 unequal: No Solution Exploring Operation: 42+21=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 42/21=2, Resulting Numbers: [2] 2,35 unequal: No Solution Moving to Node #0,0,4 Current State: 35:[57, 6], Operations: ['69-27=42', '42-36=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,35 unequal: No Solution Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 57*6=342, Resulting Numbers: [342] 342,35 unequal: No Solution Moving to Node #0,0,0 Current State: 35:[57, 78], Operations: ['69-27=42', '36+42=78'] Exploring Operation: 78-57=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 57*78=4446, Resulting Numbers: [4446] 4446,35 unequal: No Solution Exploring Operation: 57+78=135, Resulting Numbers: [135] 135,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[42, 93], Operations: ['69-27=42', '36+57=93'] Exploring Operation: 42+93=135, Resulting Numbers: [135] 135,35 unequal: No Solution Exploring Operation: 93-42=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 42*93=3906, Resulting Numbers: [3906] 3906,35 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 10, 73, 14, 5 ]
54
[ "73-10=63", "14-5=9", "63-9=54" ]
Current State: 54:[10, 73, 14, 5], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [14, 5, 63] Generated Node #2: [14, 5, 63] from Operation: 73-10=63 Current State: 54:[14, 5, 63], Operations: ['73-10=63'] Exploring Operation: 14-5=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 14-5=9 Current State: 54:[63, 9], Operations: ['73-10=63', '14-5=9'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[10, 73, 14, 5], Operations: [] Exploring Operation: 73-14=59, Resulting Numbers: [10, 5, 59] Generated Node #0,0: 54:[10, 5, 59] Operation: 73-14=59 Exploring Operation: 73-10=63, Resulting Numbers: [14, 5, 63] Generated Node #0,1: 54:[14, 5, 63] Operation: 73-10=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 54:[10, 5, 59], Operations: ['73-14=59'] Exploring Operation: 10/5=2, Resulting Numbers: [59, 2] Generated Node #0,0,0: 54:[59, 2] Operation: 10/5=2 Exploring Operation: 59-5=54, Resulting Numbers: [10, 54] Generated Node #0,0,1: 54:[10, 54] Operation: 59-5=54 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 54:[10, 54], Operations: ['73-14=59', '59-5=54'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,54 unequal: No Solution Exploring Operation: 10+54=64, Resulting Numbers: [64] 64,54 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 54:[59, 2], Operations: ['73-14=59', '10/5=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,54 unequal: No Solution Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,54 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 54:[14, 5, 63], Operations: ['73-10=63'] Exploring Operation: 63-5=58, Resulting Numbers: [14, 58] Generated Node #0,1,0: 54:[14, 58] Operation: 63-5=58 Exploring Operation: 63-14=49, Resulting Numbers: [5, 49] Generated Node #0,1,1: 54:[5, 49] Operation: 63-14=49 Moving to Node #0,1,1 Current State: 54:[5, 49], Operations: ['73-10=63', '63-14=49'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,54 unequal: No Solution Exploring Operation: 5+49=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[10, 73, 14, 5], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [14, 5, 63] Generated Node #0,1: 54:[14, 5, 63] Operation: 73-10=63 Moving to Node #0,1 Current State: 54:[14, 5, 63], Operations: ['73-10=63'] Exploring Operation: 63-14=49, Resulting Numbers: [5, 49] Generated Node #0,1,1: 54:[5, 49] Operation: 63-14=49 Moving to Node #0,1,1 Current State: 54:[5, 49], Operations: ['73-10=63', '63-14=49'] Exploring Operation: 5+49=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_2
mult_heuristic
[ 80, 50, 47, 61 ]
47
[ "80+61=141", "50-47=3", "141/3=47" ]
Current State: 47:[80, 50, 47, 61], Operations: [] Exploring Operation: 80+61=141, Resulting Numbers: [50, 47, 141] Generated Node #2: [50, 47, 141] from Operation: 80+61=141 Current State: 47:[50, 47, 141], Operations: ['80+61=141'] Exploring Operation: 50-47=3, Resulting Numbers: [141, 3] Generated Node #3: [141, 3] from Operation: 50-47=3 Current State: 47:[141, 3], Operations: ['80+61=141', '50-47=3'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[80, 50, 47, 61], Operations: [] Exploring Operation: 80-47=33, Resulting Numbers: [50, 61, 33] Generated Node #0,0: 47:[50, 61, 33] Operation: 80-47=33 Exploring Operation: 80-50=30, Resulting Numbers: [47, 61, 30] Generated Node #0,1: 47:[47, 61, 30] Operation: 80-50=30 Exploring Operation: 80-61=19, Resulting Numbers: [50, 47, 19] Generated Node #0,2: 47:[50, 47, 19] Operation: 80-61=19 Moving to Node #0,0 Current State: 47:[50, 61, 33], Operations: ['80-47=33'] Exploring Operation: 50-33=17, Resulting Numbers: [61, 17] Generated Node #0,0,0: 47:[61, 17] Operation: 50-33=17 Exploring Operation: 61-33=28, Resulting Numbers: [50, 28] Generated Node #0,0,1: 47:[50, 28] Operation: 61-33=28 Exploring Operation: 61-50=11, Resulting Numbers: [33, 11] Generated Node #0,0,2: 47:[33, 11] Operation: 61-50=11 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 47:[50, 28], Operations: ['80-47=33', '61-33=28'] Exploring Operation: 50+28=78, Resulting Numbers: [78] 78,47 unequal: No Solution Exploring Operation: 50-28=22, Resulting Numbers: [22] 22,47 unequal: No Solution Exploring Operation: 50*28=1400, Resulting Numbers: [1400] 1400,47 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 #0,0,0 Current State: 47:[61, 17], Operations: ['80-47=33', '50-33=17'] Exploring Operation: 61+17=78, Resulting Numbers: [78] 78,47 unequal: No Solution Exploring Operation: 61*17=1037, Resulting Numbers: [1037] 1037,47 unequal: No Solution Exploring Operation: 61-17=44, Resulting Numbers: [44] 44,47 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 #0,0,2 Current State: 47:[33, 11], Operations: ['80-47=33', '61-50=11'] Exploring Operation: 33/11=3, Resulting Numbers: [3] 3,47 unequal: No Solution Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,47 unequal: No Solution Exploring Operation: 33+11=44, Resulting Numbers: [44] 44,47 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:[47, 61, 30], Operations: ['80-50=30'] Exploring Operation: 47-30=17, Resulting Numbers: [61, 17] Generated Node #0,1,0: 47:[61, 17] Operation: 47-30=17 Exploring Operation: 61-30=31, Resulting Numbers: [47, 31] Generated Node #0,1,1: 47:[47, 31] Operation: 61-30=31 Exploring Operation: 47+30=77, Resulting Numbers: [61, 77] Generated Node #0,1,2: 47:[61, 77] Operation: 47+30=77 Moving to Node #0,2 Current State: 47:[50, 47, 19], Operations: ['80-61=19'] Exploring Operation: 47+19=66, Resulting Numbers: [50, 66] Generated Node #0,2,0: 47:[50, 66] Operation: 47+19=66 Exploring Operation: 50+19=69, Resulting Numbers: [47, 69] Generated Node #0,2,1: 47:[47, 69] Operation: 50+19=69 Exploring Operation: 50-19=31, Resulting Numbers: [47, 31] Generated Node #0,2,2: 47:[47, 31] Operation: 50-19=31 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 47:[47, 31], Operations: ['80-61=19', '50-19=31'] Exploring Operation: 47*31=1457, Resulting Numbers: [1457] 1457,47 unequal: No Solution Exploring Operation: 47+31=78, Resulting Numbers: [78] 78,47 unequal: No Solution Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,47 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 #0,2,0 Current State: 47:[50, 66], Operations: ['80-61=19', '47+19=66'] Exploring Operation: 50+66=116, Resulting Numbers: [116] 116,47 unequal: No Solution Exploring Operation: 50*66=3300, Resulting Numbers: [3300] 3300,47 unequal: No Solution Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,47 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:[47, 69], Operations: ['80-61=19', '50+19=69'] Exploring Operation: 69-47=22, Resulting Numbers: [22] 22,47 unequal: No Solution Exploring Operation: 47*69=3243, Resulting Numbers: [3243] 3243,47 unequal: No Solution Exploring Operation: 47+69=116, Resulting Numbers: [116] 116,47 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: 47:[47, 31], Operations: ['80-50=30', '61-30=31'] Exploring Operation: 47+31=78, Resulting Numbers: [78] 78,47 unequal: No Solution Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,47 unequal: No Solution Exploring Operation: 47*31=1457, Resulting Numbers: [1457] 1457,47 unequal: No Solution Moving to Node #0,1,0 Current State: 47:[61, 17], Operations: ['80-50=30', '47-30=17'] Exploring Operation: 61*17=1037, Resulting Numbers: [1037] 1037,47 unequal: No Solution Exploring Operation: 61-17=44, Resulting Numbers: [44] 44,47 unequal: No Solution Exploring Operation: 61+17=78, Resulting Numbers: [78] 78,47 unequal: No Solution Moving to Node #0,1,2 Current State: 47:[61, 77], Operations: ['80-50=30', '47+30=77'] Exploring Operation: 77-61=16, Resulting Numbers: [16] 16,47 unequal: No Solution Exploring Operation: 61*77=4697, Resulting Numbers: [4697] 4697,47 unequal: No Solution Exploring Operation: 61+77=138, Resulting Numbers: [138] 138,47 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 80, 21, 19, 23 ]
18
[ "80-23=57", "57/19=3", "21-3=18" ]
Current State: 18:[80, 21, 19, 23], Operations: [] Exploring Operation: 80-23=57, Resulting Numbers: [21, 19, 57] Generated Node #2: [21, 19, 57] from Operation: 80-23=57 Current State: 18:[21, 19, 57], Operations: ['80-23=57'] Exploring Operation: 57/19=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 57/19=3 Current State: 18:[21, 3], Operations: ['80-23=57', '57/19=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[80, 21, 19, 23], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [80, 21, 4] Generated Node #0,0: 18:[80, 21, 4] Operation: 23-19=4 Exploring Operation: 80-19=61, Resulting Numbers: [21, 23, 61] Generated Node #0,1: 18:[21, 23, 61] Operation: 80-19=61 Exploring Operation: 23-21=2, Resulting Numbers: [80, 19, 2] Generated Node #0,2: 18:[80, 19, 2] Operation: 23-21=2 Exploring Operation: 80-21=59, Resulting Numbers: [19, 23, 59] Generated Node #0,3: 18:[19, 23, 59] Operation: 80-21=59 Exploring Operation: 80-23=57, Resulting Numbers: [21, 19, 57] Generated Node #0,4: 18:[21, 19, 57] Operation: 80-23=57 Start Sub Search at level 1: Moving to Node #0,4 Current State: 18:[21, 19, 57], Operations: ['80-23=57'] Exploring Operation: 21-19=2, Resulting Numbers: [57, 2] Generated Node #0,4,0: 18:[57, 2] Operation: 21-19=2 Exploring Operation: 21+19=40, Resulting Numbers: [57, 40] Generated Node #0,4,1: 18:[57, 40] Operation: 21+19=40 Exploring Operation: 57-21=36, Resulting Numbers: [19, 36] Generated Node #0,4,2: 18:[19, 36] Operation: 57-21=36 Exploring Operation: 57/19=3, Resulting Numbers: [21, 3] Generated Node #0,4,3: 18:[21, 3] Operation: 57/19=3 Exploring Operation: 57-19=38, Resulting Numbers: [21, 38] Generated Node #0,4,4: 18:[21, 38] Operation: 57-19=38 Moving to Node #0,4,3 Current State: 18:[21, 3], Operations: ['80-23=57', '57/19=3'] Exploring Operation: 21/3=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,18 unequal: No Solution Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[80, 21, 19, 23], Operations: [] Exploring Operation: 80-23=57, Resulting Numbers: [21, 19, 57] Generated Node #0,4: 18:[21, 19, 57] Operation: 80-23=57 Moving to Node #0,4 Current State: 18:[21, 19, 57], Operations: ['80-23=57'] Exploring Operation: 57/19=3, Resulting Numbers: [21, 3] Generated Node #0,4,3: 18:[21, 3] Operation: 57/19=3 Moving to Node #0,4,3 Current State: 18:[21, 3], Operations: ['80-23=57', '57/19=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 27, 15, 67, 21 ]
46
[ "27+15=42", "67+21=88", "88-42=46" ]
Current State: 46:[27, 15, 67, 21], Operations: [] Exploring Operation: 27+15=42, Resulting Numbers: [67, 21, 42] Generated Node #2: [67, 21, 42] from Operation: 27+15=42 Current State: 46:[67, 21, 42], Operations: ['27+15=42'] Exploring Operation: 67+21=88, Resulting Numbers: [42, 88] Generated Node #3: [42, 88] from Operation: 67+21=88 Current State: 46:[42, 88], Operations: ['27+15=42', '67+21=88'] Exploring Operation: 88-42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[27, 15, 67, 21], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [27, 21, 52] Generated Node #0,0: 46:[27, 21, 52] Operation: 67-15=52 Exploring Operation: 67-21=46, Resulting Numbers: [27, 15, 46] Generated Node #0,1: 46:[27, 15, 46] Operation: 67-21=46 Start Sub Search at level 1: Moving to Node #0,0 Current State: 46:[27, 21, 52], Operations: ['67-15=52'] Exploring Operation: 52-27=25, Resulting Numbers: [21, 25] Generated Node #0,0,0: 46:[21, 25] Operation: 52-27=25 Exploring Operation: 27+21=48, Resulting Numbers: [52, 48] Generated Node #0,0,1: 46:[52, 48] Operation: 27+21=48 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 46:[21, 25], Operations: ['67-15=52', '52-27=25'] Exploring Operation: 21+25=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[27, 15, 67, 21], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [27, 21, 52] Generated Node #0,0: 46:[27, 21, 52] Operation: 67-15=52 Moving to Node #0,0 Current State: 46:[27, 21, 52], Operations: ['67-15=52'] Exploring Operation: 52-27=25, Resulting Numbers: [21, 25] Generated Node #0,0,0: 46:[21, 25] Operation: 52-27=25 Moving to Node #0,0,0 Current State: 46:[21, 25], Operations: ['67-15=52', '52-27=25'] Exploring Operation: 21+25=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 26, 58, 32, 22 ]
30
[ "26+58=84", "32+22=54", "84-54=30" ]
Current State: 30:[26, 58, 32, 22], Operations: [] Exploring Operation: 26+58=84, Resulting Numbers: [32, 22, 84] Generated Node #2: [32, 22, 84] from Operation: 26+58=84 Current State: 30:[32, 22, 84], Operations: ['26+58=84'] Exploring Operation: 32+22=54, Resulting Numbers: [84, 54] Generated Node #3: [84, 54] from Operation: 32+22=54 Current State: 30:[84, 54], Operations: ['26+58=84', '32+22=54'] Exploring Operation: 84-54=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[26, 58, 32, 22], Operations: [] Exploring Operation: 58-22=36, Resulting Numbers: [26, 32, 36] Generated Node #0,0: 30:[26, 32, 36] Operation: 58-22=36 Exploring Operation: 58-26=32, Resulting Numbers: [32, 22, 32] Generated Node #0,1: 30:[32, 22, 32] Operation: 58-26=32 Moving to Node #0,1 Current State: 30:[32, 22, 32], Operations: ['58-26=32'] Exploring Operation: 32-22=10, Resulting Numbers: [32, 10] Generated Node #0,1,0: 30:[32, 10] Operation: 32-22=10 Exploring Operation: 32-22=10, Resulting Numbers: [32, 10] Generated Node #0,1,1: 30:[32, 10] Operation: 32-22=10 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 30:[32, 10], Operations: ['58-26=32', '32-22=10'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,30 unequal: No Solution Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,30 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 #0,1,1 Current State: 30:[32, 10], Operations: ['58-26=32', '32-22=10'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,30 unequal: No Solution Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,30 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: 30:[26, 32, 36], Operations: ['58-22=36'] Exploring Operation: 36-32=4, Resulting Numbers: [26, 4] Generated Node #0,0,0: 30:[26, 4] Operation: 36-32=4 Exploring Operation: 36-26=10, Resulting Numbers: [32, 10] Generated Node #0,0,1: 30:[32, 10] Operation: 36-26=10 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 30:[32, 10], Operations: ['58-22=36', '36-26=10'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,30 unequal: No Solution Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,30 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 #0,0,0 Current State: 30:[26, 4], Operations: ['58-22=36', '36-32=4'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,30 unequal: No Solution Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[26, 58, 32, 22], Operations: [] Exploring Operation: 58-22=36, Resulting Numbers: [26, 32, 36] Generated Node #0,0: 30:[26, 32, 36] Operation: 58-22=36 Moving to Node #0,0 Current State: 30:[26, 32, 36], Operations: ['58-22=36'] Exploring Operation: 36-32=4, Resulting Numbers: [26, 4] Generated Node #0,0,0: 30:[26, 4] Operation: 36-32=4 Moving to Node #0,0,0 Current State: 30:[26, 4], Operations: ['58-22=36', '36-32=4'] Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_2
sum_heuristic
[ 2, 44, 21, 15 ]
36
[ "44-2=42", "21-15=6", "42-6=36" ]
Current State: 36:[2, 44, 21, 15], Operations: [] Exploring Operation: 44-2=42, Resulting Numbers: [21, 15, 42] Generated Node #2: [21, 15, 42] from Operation: 44-2=42 Current State: 36:[21, 15, 42], Operations: ['44-2=42'] Exploring Operation: 21-15=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 21-15=6 Current State: 36:[42, 6], Operations: ['44-2=42', '21-15=6'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[2, 44, 21, 15], Operations: [] Exploring Operation: 21+15=36, Resulting Numbers: [2, 44, 36] Generated Node #0,0: 36:[2, 44, 36] Operation: 21+15=36 Exploring Operation: 44-21=23, Resulting Numbers: [2, 15, 23] Generated Node #0,1: 36:[2, 15, 23] Operation: 44-21=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[2, 44, 36], Operations: ['21+15=36'] Exploring Operation: 44-36=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 36:[2, 8] Operation: 44-36=8 Exploring Operation: 44/2=22, Resulting Numbers: [36, 22] Generated Node #0,0,1: 36:[36, 22] Operation: 44/2=22 Moving to Node #0,0,0 Current State: 36:[2, 8], Operations: ['21+15=36', '44-36=8'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,36 unequal: No Solution Moving to Node #0,0,1 Current State: 36:[36, 22], Operations: ['21+15=36', '44/2=22'] Exploring Operation: 36-22=14, Resulting Numbers: [14] 14,36 unequal: No Solution Exploring Operation: 36+22=58, Resulting Numbers: [58] 58,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[2, 15, 23], Operations: ['44-21=23'] Exploring Operation: 15+23=38, Resulting Numbers: [2, 38] Generated Node #0,1,0: 36:[2, 38] Operation: 15+23=38 Exploring Operation: 23-15=8, Resulting Numbers: [2, 8] Generated Node #0,1,1: 36:[2, 8] Operation: 23-15=8 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 36:[2, 8], Operations: ['44-21=23', '23-15=8'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,36 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,36 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: 36:[2, 38], Operations: ['44-21=23', '15+23=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,36 unequal: No Solution Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[2, 44, 21, 15], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [2, 15, 23] Generated Node #0,1: 36:[2, 15, 23] Operation: 44-21=23 Moving to Node #0,1 Current State: 36:[2, 15, 23], Operations: ['44-21=23'] Exploring Operation: 15+23=38, Resulting Numbers: [2, 38] Generated Node #0,1,0: 36:[2, 38] Operation: 15+23=38 Moving to Node #0,1,0 Current State: 36:[2, 38], Operations: ['44-21=23', '15+23=38'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.984375
hs_2
mult_heuristic
[ 68, 18, 24, 78 ]
55
[ "24-18=6", "78/6=13", "68-13=55" ]
Current State: 55:[68, 18, 24, 78], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [68, 78, 6] Generated Node #2: [68, 78, 6] from Operation: 24-18=6 Current State: 55:[68, 78, 6], Operations: ['24-18=6'] Exploring Operation: 78/6=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 78/6=13 Current State: 55:[68, 13], Operations: ['24-18=6', '78/6=13'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[68, 18, 24, 78], Operations: [] Exploring Operation: 78-24=54, Resulting Numbers: [68, 18, 54] Generated Node #0,0: 55:[68, 18, 54] Operation: 78-24=54 Exploring Operation: 78-18=60, Resulting Numbers: [68, 24, 60] Generated Node #0,1: 55:[68, 24, 60] Operation: 78-18=60 Exploring Operation: 78-68=10, Resulting Numbers: [18, 24, 10] Generated Node #0,2: 55:[18, 24, 10] Operation: 78-68=10 Exploring Operation: 24-18=6, Resulting Numbers: [68, 78, 6] Generated Node #0,3: 55:[68, 78, 6] Operation: 24-18=6 Moving to Node #0,0 Current State: 55:[68, 18, 54], Operations: ['78-24=54'] Exploring Operation: 54/18=3, Resulting Numbers: [68, 3] Generated Node #0,0,0: 55:[68, 3] Operation: 54/18=3 Exploring Operation: 68-54=14, Resulting Numbers: [18, 14] Generated Node #0,0,1: 55:[18, 14] Operation: 68-54=14 Exploring Operation: 18+54=72, Resulting Numbers: [68, 72] Generated Node #0,0,2: 55:[68, 72] Operation: 18+54=72 Exploring Operation: 68-18=50, Resulting Numbers: [54, 50] Generated Node #0,0,3: 55:[54, 50] Operation: 68-18=50 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 55:[54, 50], Operations: ['78-24=54', '68-18=50'] Exploring Operation: 54+50=104, Resulting Numbers: [104] 104,55 unequal: No Solution Exploring Operation: 54*50=2700, Resulting Numbers: [2700] 2700,55 unequal: No Solution Exploring Operation: 54-50=4, Resulting Numbers: [4] 4,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 55:[18, 14], Operations: ['78-24=54', '68-54=14'] Exploring Operation: 18-14=4, Resulting Numbers: [4] 4,55 unequal: No Solution Exploring Operation: 18*14=252, Resulting Numbers: [252] 252,55 unequal: No Solution Exploring Operation: 18+14=32, Resulting Numbers: [32] 32,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 55:[68, 3], Operations: ['78-24=54', '54/18=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,55 unequal: No Solution Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,55 unequal: No Solution Exploring Operation: 68*3=204, Resulting Numbers: [204] 204,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 55:[68, 72], Operations: ['78-24=54', '18+54=72'] Exploring Operation: 72-68=4, Resulting Numbers: [4] 4,55 unequal: No Solution Exploring Operation: 68+72=140, Resulting Numbers: [140] 140,55 unequal: No Solution Exploring Operation: 68*72=4896, Resulting Numbers: [4896] 4896,55 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: 55:[18, 24, 10], Operations: ['78-68=10'] Exploring Operation: 18-10=8, Resulting Numbers: [24, 8] Generated Node #0,2,0: 55:[24, 8] Operation: 18-10=8 Exploring Operation: 24-18=6, Resulting Numbers: [10, 6] Generated Node #0,2,1: 55:[10, 6] Operation: 24-18=6 Exploring Operation: 24-10=14, Resulting Numbers: [18, 14] Generated Node #0,2,2: 55:[18, 14] Operation: 24-10=14 Exploring Operation: 18+24=42, Resulting Numbers: [10, 42] Generated Node #0,2,3: 55:[10, 42] Operation: 18+24=42 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 55:[10, 6], Operations: ['78-68=10', '24-18=6'] Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,55 unequal: No Solution Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,55 unequal: No Solution Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 55:[18, 14], Operations: ['78-68=10', '24-10=14'] Exploring Operation: 18*14=252, Resulting Numbers: [252] 252,55 unequal: No Solution Exploring Operation: 18-14=4, Resulting Numbers: [4] 4,55 unequal: No Solution Exploring Operation: 18+14=32, Resulting Numbers: [32] 32,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 55:[10, 42], Operations: ['78-68=10', '18+24=42'] Exploring Operation: 10+42=52, Resulting Numbers: [52] 52,55 unequal: No Solution Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,55 unequal: No Solution Exploring Operation: 10*42=420, Resulting Numbers: [420] 420,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 55:[24, 8], Operations: ['78-68=10', '18-10=8'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,55 unequal: No Solution Exploring Operation: 24*8=192, Resulting Numbers: [192] 192,55 unequal: No Solution Exploring Operation: 24+8=32, Resulting Numbers: [32] 32,55 unequal: No Solution Exploring Operation: 24/8=3, Resulting Numbers: [3] 3,55 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: 55:[68, 24, 60], Operations: ['78-18=60'] Exploring Operation: 68-60=8, Resulting Numbers: [24, 8] Generated Node #0,1,0: 55:[24, 8] Operation: 68-60=8 Exploring Operation: 68-24=44, Resulting Numbers: [60, 44] Generated Node #0,1,1: 55:[60, 44] Operation: 68-24=44 Exploring Operation: 68+24=92, Resulting Numbers: [60, 92] Generated Node #0,1,2: 55:[60, 92] Operation: 68+24=92 Exploring Operation: 60-24=36, Resulting Numbers: [68, 36] Generated Node #0,1,3: 55:[68, 36] Operation: 60-24=36 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 55:[24, 8], Operations: ['78-18=60', '68-60=8'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,55 unequal: No Solution Exploring Operation: 24+8=32, Resulting Numbers: [32] 32,55 unequal: No Solution Exploring Operation: 24/8=3, Resulting Numbers: [3] 3,55 unequal: No Solution Exploring Operation: 24*8=192, Resulting Numbers: [192] 192,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 55:[60, 44], Operations: ['78-18=60', '68-24=44'] Exploring Operation: 60+44=104, Resulting Numbers: [104] 104,55 unequal: No Solution Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,55 unequal: No Solution Exploring Operation: 60*44=2640, Resulting Numbers: [2640] 2640,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 55:[68, 36], Operations: ['78-18=60', '60-24=36'] Exploring Operation: 68-36=32, Resulting Numbers: [32] 32,55 unequal: No Solution Exploring Operation: 68+36=104, Resulting Numbers: [104] 104,55 unequal: No Solution Exploring Operation: 68*36=2448, Resulting Numbers: [2448] 2448,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 55:[60, 92], Operations: ['78-18=60', '68+24=92'] Exploring Operation: 60*92=5520, Resulting Numbers: [5520] 5520,55 unequal: No Solution Exploring Operation: 92-60=32, Resulting Numbers: [32] 32,55 unequal: No Solution Exploring Operation: 60+92=152, Resulting Numbers: [152] 152,55 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: 55:[68, 78, 6], Operations: ['24-18=6'] Exploring Operation: 78-68=10, Resulting Numbers: [6, 10] Generated Node #0,3,0: 55:[6, 10] Operation: 78-68=10 Exploring Operation: 68-6=62, Resulting Numbers: [78, 62] Generated Node #0,3,1: 55:[78, 62] Operation: 68-6=62 Exploring Operation: 78-6=72, Resulting Numbers: [68, 72] Generated Node #0,3,2: 55:[68, 72] Operation: 78-6=72 Exploring Operation: 78/6=13, Resulting Numbers: [68, 13] Generated Node #0,3,3: 55:[68, 13] Operation: 78/6=13 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 55:[6, 10], Operations: ['24-18=6', '78-68=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,55 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,55 unequal: No Solution Exploring Operation: 6+10=16, Resulting Numbers: [16] 16,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 55:[68, 13], Operations: ['24-18=6', '78/6=13'] Exploring Operation: 68+13=81, Resulting Numbers: [81] 81,55 unequal: No Solution Exploring Operation: 68*13=884, Resulting Numbers: [884] 884,55 unequal: No Solution Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[68, 18, 24, 78], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [68, 78, 6] Generated Node #0,3: 55:[68, 78, 6] Operation: 24-18=6 Moving to Node #0,3 Current State: 55:[68, 78, 6], Operations: ['24-18=6'] Exploring Operation: 78/6=13, Resulting Numbers: [68, 13] Generated Node #0,3,3: 55:[68, 13] Operation: 78/6=13 Moving to Node #0,3,3 Current State: 55:[68, 13], Operations: ['24-18=6', '78/6=13'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Exit Sub Search at level 1
0.940972
hs_4
sum_heuristic
[ 8, 44, 62, 8 ]
80
[ "8+44=52", "62-52=10", "8*10=80" ]
Current State: 80:[8, 44, 62, 8], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [62, 52] Generated Node #2: [62, 52] from Operation: 8+44=52 Current State: 80:[62, 52], Operations: ['8+44=52'] Exploring Operation: 62-52=10, Resulting Numbers: [10] 10,80 equal: Goal Reached Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[8, 44, 62, 8], Operations: [] Exploring Operation: 62-44=18, Resulting Numbers: [8, 8, 18] Generated Node #0,0: 80:[8, 8, 18] Operation: 62-44=18 Moving to Node #0,0 Current State: 80:[8, 8, 18], Operations: ['62-44=18'] Exploring Operation: 18-8=10, Resulting Numbers: [8, 10] Generated Node #0,0,0: 80:[8, 10] Operation: 18-8=10 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 80:[8, 10], Operations: ['62-44=18', '18-8=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[8, 44, 62, 8], Operations: [] Exploring Operation: 62-44=18, Resulting Numbers: [8, 8, 18] Generated Node #0,0: 80:[8, 8, 18] Operation: 62-44=18 Moving to Node #0,0 Current State: 80:[8, 8, 18], Operations: ['62-44=18'] Exploring Operation: 18-8=10, Resulting Numbers: [8, 10] Generated Node #0,0,0: 80:[8, 10] Operation: 18-8=10 Moving to Node #0,0,0 Current State: 80:[8, 10], Operations: ['62-44=18', '18-8=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 7, 65, 28, 63 ]
28
[ "63/7=9", "65-28=37", "37-9=28" ]
Current State: 28:[7, 65, 28, 63], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [65, 28, 9] Generated Node #2: [65, 28, 9] from Operation: 63/7=9 Current State: 28:[65, 28, 9], Operations: ['63/7=9'] Exploring Operation: 65-28=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 65-28=37 Current State: 28:[9, 37], Operations: ['63/7=9', '65-28=37'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[7, 65, 28, 63], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [7, 28, 2] Generated Node #0,0: 28:[7, 28, 2] Operation: 65-63=2 Exploring Operation: 65-28=37, Resulting Numbers: [7, 63, 37] Generated Node #0,1: 28:[7, 63, 37] Operation: 65-28=37 Exploring Operation: 63/7=9, Resulting Numbers: [65, 28, 9] Generated Node #0,2: 28:[65, 28, 9] Operation: 63/7=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[7, 28, 2], Operations: ['65-63=2'] Exploring Operation: 28/2=14, Resulting Numbers: [7, 14] Generated Node #0,0,0: 28:[7, 14] Operation: 28/2=14 Exploring Operation: 7*2=14, Resulting Numbers: [28, 14] Generated Node #0,0,1: 28:[28, 14] Operation: 7*2=14 Exploring Operation: 28/7=4, Resulting Numbers: [2, 4] Generated Node #0,0,2: 28:[2, 4] Operation: 28/7=4 Moving to Node #0,0,0 Current State: 28:[7, 14], Operations: ['65-63=2', '28/2=14'] Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,28 unequal: No Solution Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,28 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,28 unequal: No Solution Moving to Node #0,0,1 Current State: 28:[28, 14], Operations: ['65-63=2', '7*2=14'] Exploring Operation: 28+14=42, Resulting Numbers: [42] 42,28 unequal: No Solution Exploring Operation: 28-14=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 28/14=2, Resulting Numbers: [2] 2,28 unequal: No Solution Moving to Node #0,0,2 Current State: 28:[2, 4], Operations: ['65-63=2', '28/7=4'] Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,28 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,28 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[65, 28, 9], Operations: ['63/7=9'] Exploring Operation: 65-9=56, Resulting Numbers: [28, 56] Generated Node #0,2,0: 28:[28, 56] Operation: 65-9=56 Exploring Operation: 28-9=19, Resulting Numbers: [65, 19] Generated Node #0,2,1: 28:[65, 19] Operation: 28-9=19 Exploring Operation: 65-28=37, Resulting Numbers: [9, 37] Generated Node #0,2,2: 28:[9, 37] Operation: 65-28=37 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 28:[9, 37], Operations: ['63/7=9', '65-28=37'] Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,28 unequal: No Solution Exploring Operation: 9*37=333, Resulting Numbers: [333] 333,28 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[7, 65, 28, 63], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [65, 28, 9] Generated Node #0,2: 28:[65, 28, 9] Operation: 63/7=9 Moving to Node #0,2 Current State: 28:[65, 28, 9], Operations: ['63/7=9'] Exploring Operation: 65-28=37, Resulting Numbers: [9, 37] Generated Node #0,2,2: 28:[9, 37] Operation: 65-28=37 Moving to Node #0,2,2 Current State: 28:[9, 37], Operations: ['63/7=9', '65-28=37'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.978299
hs_3
mult_heuristic
[ 4, 3, 80, 20 ]
100
[ "4-3=1", "80+20=100", "1*100=100" ]
Current State: 100:[4, 3, 80, 20], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [80, 20, 1] Generated Node #2: [80, 20, 1] from Operation: 4-3=1 Current State: 100:[80, 20, 1], Operations: ['4-3=1'] Exploring Operation: 80+20=100, Resulting Numbers: [1, 100] Generated Node #3: [1, 100] from Operation: 80+20=100 Current State: 100:[1, 100], Operations: ['4-3=1', '80+20=100'] Exploring Operation: 1*100=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[4, 3, 80, 20], Operations: [] Exploring Operation: 80+20=100, Resulting Numbers: [4, 3, 100] Generated Node #0,0: 100:[4, 3, 100] Operation: 80+20=100 Exploring Operation: 80/4=20, Resulting Numbers: [3, 20, 20] Generated Node #0,1: 100:[3, 20, 20] Operation: 80/4=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[4, 3, 100], Operations: ['80+20=100'] Exploring Operation: 100/4=25, Resulting Numbers: [3, 25] Generated Node #0,0,0: 100:[3, 25] Operation: 100/4=25 Exploring Operation: 4-3=1, Resulting Numbers: [100, 1] Generated Node #0,0,1: 100:[100, 1] Operation: 4-3=1 Moving to Node #0,0,0 Current State: 100:[3, 25], Operations: ['80+20=100', '100/4=25'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,100 unequal: No Solution Exploring Operation: 3+25=28, Resulting Numbers: [28] 28,100 unequal: No Solution Moving to Node #0,0,1 Current State: 100:[100, 1], Operations: ['80+20=100', '4-3=1'] Exploring Operation: 100/1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[4, 3, 80, 20], Operations: [] Exploring Operation: 80+20=100, Resulting Numbers: [4, 3, 100] Generated Node #0,0: 100:[4, 3, 100] Operation: 80+20=100 Moving to Node #0,0 Current State: 100:[4, 3, 100], Operations: ['80+20=100'] Exploring Operation: 4-3=1, Resulting Numbers: [100, 1] Generated Node #0,0,1: 100:[100, 1] Operation: 4-3=1 Moving to Node #0,0,1 Current State: 100:[100, 1], Operations: ['80+20=100', '4-3=1'] Exploring Operation: 100/1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
sum_heuristic
[ 56, 22, 59, 28 ]
35
[ "56/28=2", "59-22=37", "37-2=35" ]
Current State: 35:[56, 22, 59, 28], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [22, 59, 2] Generated Node #2: [22, 59, 2] from Operation: 56/28=2 Current State: 35:[22, 59, 2], Operations: ['56/28=2'] Exploring Operation: 59-22=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 59-22=37 Current State: 35:[2, 37], Operations: ['56/28=2', '59-22=37'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[56, 22, 59, 28], Operations: [] Exploring Operation: 59-28=31, Resulting Numbers: [56, 22, 31] Generated Node #0,0: 35:[56, 22, 31] Operation: 59-28=31 Exploring Operation: 59-56=3, Resulting Numbers: [22, 28, 3] Generated Node #0,1: 35:[22, 28, 3] Operation: 59-56=3 Exploring Operation: 56-22=34, Resulting Numbers: [59, 28, 34] Generated Node #0,2: 35:[59, 28, 34] Operation: 56-22=34 Exploring Operation: 59-22=37, Resulting Numbers: [56, 28, 37] Generated Node #0,3: 35:[56, 28, 37] Operation: 59-22=37 Moving to Node #0,1 Current State: 35:[22, 28, 3], Operations: ['59-56=3'] Exploring Operation: 22+3=25, Resulting Numbers: [28, 25] Generated Node #0,1,0: 35:[28, 25] Operation: 22+3=25 Exploring Operation: 22+28=50, Resulting Numbers: [3, 50] Generated Node #0,1,1: 35:[3, 50] Operation: 22+28=50 Exploring Operation: 28+3=31, Resulting Numbers: [22, 31] Generated Node #0,1,2: 35:[22, 31] Operation: 28+3=31 Exploring Operation: 28-22=6, Resulting Numbers: [3, 6] Generated Node #0,1,3: 35:[3, 6] Operation: 28-22=6 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 35:[3, 6], Operations: ['59-56=3', '28-22=6'] Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,35 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,35 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:[28, 25], Operations: ['59-56=3', '22+3=25'] Exploring Operation: 28-25=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 28*25=700, Resulting Numbers: [700] 700,35 unequal: No Solution Exploring Operation: 28+25=53, Resulting Numbers: [53] 53,35 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:[3, 50], Operations: ['59-56=3', '22+28=50'] Exploring Operation: 3*50=150, Resulting Numbers: [150] 150,35 unequal: No Solution Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,35 unequal: No Solution Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,35 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:[22, 31], Operations: ['59-56=3', '28+3=31'] Exploring Operation: 22*31=682, Resulting Numbers: [682] 682,35 unequal: No Solution Exploring Operation: 31-22=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 22+31=53, Resulting Numbers: [53] 53,35 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: 35:[56, 28, 37], Operations: ['59-22=37'] Exploring Operation: 56/28=2, Resulting Numbers: [37, 2] Generated Node #0,3,0: 35:[37, 2] Operation: 56/28=2 Exploring Operation: 56-28=28, Resulting Numbers: [37, 28] Generated Node #0,3,1: 35:[37, 28] Operation: 56-28=28 Exploring Operation: 37-28=9, Resulting Numbers: [56, 9] Generated Node #0,3,2: 35:[56, 9] Operation: 37-28=9 Exploring Operation: 56-37=19, Resulting Numbers: [28, 19] Generated Node #0,3,3: 35:[28, 19] Operation: 56-37=19 Moving to Node #0,2 Current State: 35:[59, 28, 34], Operations: ['56-22=34'] Exploring Operation: 59-34=25, Resulting Numbers: [28, 25] Generated Node #0,2,0: 35:[28, 25] Operation: 59-34=25 Exploring Operation: 34-28=6, Resulting Numbers: [59, 6] Generated Node #0,2,1: 35:[59, 6] Operation: 34-28=6 Exploring Operation: 28+34=62, Resulting Numbers: [59, 62] Generated Node #0,2,2: 35:[59, 62] Operation: 28+34=62 Exploring Operation: 59-28=31, Resulting Numbers: [34, 31] Generated Node #0,2,3: 35:[34, 31] Operation: 59-28=31 Moving to Node #0,0 Current State: 35:[56, 22, 31], Operations: ['59-28=31'] Exploring Operation: 22+31=53, Resulting Numbers: [56, 53] Generated Node #0,0,0: 35:[56, 53] Operation: 22+31=53 Exploring Operation: 56-22=34, Resulting Numbers: [31, 34] Generated Node #0,0,1: 35:[31, 34] Operation: 56-22=34 Exploring Operation: 31-22=9, Resulting Numbers: [56, 9] Generated Node #0,0,2: 35:[56, 9] Operation: 31-22=9 Exploring Operation: 56-31=25, Resulting Numbers: [22, 25] Generated Node #0,0,3: 35:[22, 25] Operation: 56-31=25 Moving to Node #0,3,0 Current State: 35:[37, 2], Operations: ['59-22=37', '56/28=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[56, 22, 59, 28], Operations: [] Exploring Operation: 59-22=37, Resulting Numbers: [56, 28, 37] Generated Node #0,3: 35:[56, 28, 37] Operation: 59-22=37 Moving to Node #0,3 Current State: 35:[56, 28, 37], Operations: ['59-22=37'] Exploring Operation: 56/28=2, Resulting Numbers: [37, 2] Generated Node #0,3,0: 35:[37, 2] Operation: 56/28=2 Moving to Node #0,3,0 Current State: 35:[37, 2], Operations: ['59-22=37', '56/28=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
0.967014
hs_4
mult_heuristic
[ 21, 52, 25, 24 ]
73
[ "21+52=73", "25-24=1", "73*1=73" ]
Current State: 73:[21, 52, 25, 24], Operations: [] Exploring Operation: 21+52=73, Resulting Numbers: [25, 24, 73] Generated Node #2: [25, 24, 73] from Operation: 21+52=73 Current State: 73:[25, 24, 73], Operations: ['21+52=73'] Exploring Operation: 25-24=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 25-24=1 Current State: 73:[73, 1], Operations: ['21+52=73', '25-24=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[21, 52, 25, 24], Operations: [] Exploring Operation: 25+24=49, Resulting Numbers: [21, 52, 49] Generated Node #0,0: 73:[21, 52, 49] Operation: 25+24=49 Exploring Operation: 21+25=46, Resulting Numbers: [52, 24, 46] Generated Node #0,1: 73:[52, 24, 46] Operation: 21+25=46 Exploring Operation: 52+24=76, Resulting Numbers: [21, 25, 76] Generated Node #0,2: 73:[21, 25, 76] Operation: 52+24=76 Exploring Operation: 21+24=45, Resulting Numbers: [52, 25, 45] Generated Node #0,3: 73:[52, 25, 45] Operation: 21+24=45 Exploring Operation: 21+52=73, Resulting Numbers: [25, 24, 73] Generated Node #0,4: 73:[25, 24, 73] Operation: 21+52=73 Moving to Node #0,0 Current State: 73:[21, 52, 49], Operations: ['25+24=49'] Exploring Operation: 49-21=28, Resulting Numbers: [52, 28] Generated Node #0,0,0: 73:[52, 28] Operation: 49-21=28 Exploring Operation: 52+49=101, Resulting Numbers: [21, 101] Generated Node #0,0,1: 73:[21, 101] Operation: 52+49=101 Exploring Operation: 21+49=70, Resulting Numbers: [52, 70] Generated Node #0,0,2: 73:[52, 70] Operation: 21+49=70 Exploring Operation: 52-21=31, Resulting Numbers: [49, 31] Generated Node #0,0,3: 73:[49, 31] Operation: 52-21=31 Exploring Operation: 21+52=73, Resulting Numbers: [49, 73] Generated Node #0,0,4: 73:[49, 73] Operation: 21+52=73 Moving to Node #0,3 Current State: 73:[52, 25, 45], Operations: ['21+24=45'] Exploring Operation: 52+25=77, Resulting Numbers: [45, 77] Generated Node #0,3,0: 73:[45, 77] Operation: 52+25=77 Exploring Operation: 52-25=27, Resulting Numbers: [45, 27] Generated Node #0,3,1: 73:[45, 27] Operation: 52-25=27 Exploring Operation: 45-25=20, Resulting Numbers: [52, 20] Generated Node #0,3,2: 73:[52, 20] Operation: 45-25=20 Exploring Operation: 52+45=97, Resulting Numbers: [25, 97] Generated Node #0,3,3: 73:[25, 97] Operation: 52+45=97 Exploring Operation: 25+45=70, Resulting Numbers: [52, 70] Generated Node #0,3,4: 73:[52, 70] Operation: 25+45=70 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 73:[52, 70], Operations: ['21+24=45', '25+45=70'] Exploring Operation: 52*70=3640, Resulting Numbers: [3640] 3640,73 unequal: No Solution Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,73 unequal: No Solution Exploring Operation: 52+70=122, Resulting Numbers: [122] 122,73 unequal: No Solution No 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: 73:[45, 77], Operations: ['21+24=45', '52+25=77'] Exploring Operation: 45*77=3465, Resulting Numbers: [3465] 3465,73 unequal: No Solution Exploring Operation: 45+77=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 77-45=32, Resulting Numbers: [32] 32,73 unequal: No Solution No 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: 73:[25, 97], Operations: ['21+24=45', '52+45=97'] Exploring Operation: 25*97=2425, Resulting Numbers: [2425] 2425,73 unequal: No Solution Exploring Operation: 25+97=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,73 unequal: No Solution No 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: 73:[45, 27], Operations: ['21+24=45', '52-25=27'] Exploring Operation: 45*27=1215, Resulting Numbers: [1215] 1215,73 unequal: No Solution Exploring Operation: 45+27=72, Resulting Numbers: [72] 72,73 unequal: No Solution Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,73 unequal: No Solution No 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: 73:[52, 20], Operations: ['21+24=45', '45-25=20'] Exploring Operation: 52*20=1040, Resulting Numbers: [1040] 1040,73 unequal: No Solution Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,73 unequal: No Solution Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,73 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: 73:[52, 24, 46], Operations: ['21+25=46'] Exploring Operation: 24+46=70, Resulting Numbers: [52, 70] Generated Node #0,1,0: 73:[52, 70] Operation: 24+46=70 Exploring Operation: 52-24=28, Resulting Numbers: [46, 28] Generated Node #0,1,1: 73:[46, 28] Operation: 52-24=28 Exploring Operation: 52+46=98, Resulting Numbers: [24, 98] Generated Node #0,1,2: 73:[24, 98] Operation: 52+46=98 Exploring Operation: 46-24=22, Resulting Numbers: [52, 22] Generated Node #0,1,3: 73:[52, 22] Operation: 46-24=22 Exploring Operation: 52+24=76, Resulting Numbers: [46, 76] Generated Node #0,1,4: 73:[46, 76] Operation: 52+24=76 Moving to Node #0,4 Current State: 73:[25, 24, 73], Operations: ['21+52=73'] Exploring Operation: 25+24=49, Resulting Numbers: [73, 49] Generated Node #0,4,0: 73:[73, 49] Operation: 25+24=49 Exploring Operation: 73-24=49, Resulting Numbers: [25, 49] Generated Node #0,4,1: 73:[25, 49] Operation: 73-24=49 Exploring Operation: 25-24=1, Resulting Numbers: [73, 1] Generated Node #0,4,2: 73:[73, 1] Operation: 25-24=1 Exploring Operation: 25+73=98, Resulting Numbers: [24, 98] Generated Node #0,4,3: 73:[24, 98] Operation: 25+73=98 Exploring Operation: 24+73=97, Resulting Numbers: [25, 97] Generated Node #0,4,4: 73:[25, 97] Operation: 24+73=97 Moving to Node #0,2 Current State: 73:[21, 25, 76], Operations: ['52+24=76'] Exploring Operation: 76-21=55, Resulting Numbers: [25, 55] Generated Node #0,2,0: 73:[25, 55] Operation: 76-21=55 Exploring Operation: 25-21=4, Resulting Numbers: [76, 4] Generated Node #0,2,1: 73:[76, 4] Operation: 25-21=4 Exploring Operation: 21+76=97, Resulting Numbers: [25, 97] Generated Node #0,2,2: 73:[25, 97] Operation: 21+76=97 Exploring Operation: 76-25=51, Resulting Numbers: [21, 51] Generated Node #0,2,3: 73:[21, 51] Operation: 76-25=51 Exploring Operation: 21+25=46, Resulting Numbers: [76, 46] Generated Node #0,2,4: 73:[76, 46] Operation: 21+25=46 Moving to Node #0,0,2 Current State: 73:[52, 70], Operations: ['25+24=49', '21+49=70'] Exploring Operation: 52+70=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 52*70=3640, Resulting Numbers: [3640] 3640,73 unequal: No Solution Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[52, 70], Operations: ['21+25=46', '24+46=70'] Exploring Operation: 52+70=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 70-52=18, Resulting Numbers: [18] 18,73 unequal: No Solution Exploring Operation: 52*70=3640, Resulting Numbers: [3640] 3640,73 unequal: No Solution Moving to Node #0,0,4 Current State: 73:[49, 73], Operations: ['25+24=49', '21+52=73'] Exploring Operation: 49*73=3577, Resulting Numbers: [3577] 3577,73 unequal: No Solution Exploring Operation: 49+73=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 73-49=24, Resulting Numbers: [24] 24,73 unequal: No Solution Moving to Node #0,4,0 Current State: 73:[73, 49], Operations: ['21+52=73', '25+24=49'] Exploring Operation: 73*49=3577, Resulting Numbers: [3577] 3577,73 unequal: No Solution Exploring Operation: 73+49=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 73-49=24, Resulting Numbers: [24] 24,73 unequal: No Solution Moving to Node #0,1,4 Current State: 73:[46, 76], Operations: ['21+25=46', '52+24=76'] Exploring Operation: 46*76=3496, Resulting Numbers: [3496] 3496,73 unequal: No Solution Exploring Operation: 46+76=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,73 unequal: No Solution Moving to Node #0,2,4 Current State: 73:[76, 46], Operations: ['52+24=76', '21+25=46'] Exploring Operation: 76+46=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,73 unequal: No Solution Exploring Operation: 76*46=3496, Resulting Numbers: [3496] 3496,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[52, 28], Operations: ['25+24=49', '49-21=28'] Exploring Operation: 52-28=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 52*28=1456, Resulting Numbers: [1456] 1456,73 unequal: No Solution Exploring Operation: 52+28=80, Resulting Numbers: [80] 80,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[49, 31], Operations: ['25+24=49', '52-21=31'] Exploring Operation: 49*31=1519, Resulting Numbers: [1519] 1519,73 unequal: No Solution Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,73 unequal: No Solution Exploring Operation: 49+31=80, Resulting Numbers: [80] 80,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[25, 55], Operations: ['52+24=76', '76-21=55'] Exploring Operation: 25*55=1375, Resulting Numbers: [1375] 1375,73 unequal: No Solution Exploring Operation: 55-25=30, Resulting Numbers: [30] 30,73 unequal: No Solution Exploring Operation: 25+55=80, Resulting Numbers: [80] 80,73 unequal: No Solution Moving to Node #0,4,4 Current State: 73:[25, 97], Operations: ['21+52=73', '24+73=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,73 unequal: No Solution Exploring Operation: 25+97=122, Resulting Numbers: [122] 122,73 unequal: No Solution Exploring Operation: 25*97=2425, Resulting Numbers: [2425] 2425,73 unequal: No Solution Moving to Node #0,4,2 Current State: 73:[73, 1], Operations: ['21+52=73', '25-24=1'] Exploring Operation: 73+1=74, Resulting Numbers: [74] 74,73 unequal: No Solution Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,73 unequal: No Solution Exploring Operation: 73/1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[21, 52, 25, 24], Operations: [] Exploring Operation: 21+52=73, Resulting Numbers: [25, 24, 73] Generated Node #0,4: 73:[25, 24, 73] Operation: 21+52=73 Moving to Node #0,4 Current State: 73:[25, 24, 73], Operations: ['21+52=73'] Exploring Operation: 25-24=1, Resulting Numbers: [73, 1] Generated Node #0,4,2: 73:[73, 1] Operation: 25-24=1 Moving to Node #0,4,2 Current State: 73:[73, 1], Operations: ['21+52=73', '25-24=1'] Exploring Operation: 73/1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
0.928819
hs_5
sum_heuristic
[ 96, 43, 74, 90 ]
37
[ "96-43=53", "90-74=16", "53-16=37" ]
Current State: 37:[96, 43, 74, 90], Operations: [] Exploring Operation: 96-43=53, Resulting Numbers: [74, 90, 53] Generated Node #2: [74, 90, 53] from Operation: 96-43=53 Current State: 37:[74, 90, 53], Operations: ['96-43=53'] Exploring Operation: 90-74=16, Resulting Numbers: [53, 16] Generated Node #3: [53, 16] from Operation: 90-74=16 Current State: 37:[53, 16], Operations: ['96-43=53', '90-74=16'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[96, 43, 74, 90], Operations: [] Exploring Operation: 96-74=22, Resulting Numbers: [43, 90, 22] Generated Node #0,0: 37:[43, 90, 22] Operation: 96-74=22 Exploring Operation: 96-90=6, Resulting Numbers: [43, 74, 6] Generated Node #0,1: 37:[43, 74, 6] Operation: 96-90=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 37:[43, 90, 22], Operations: ['96-74=22'] Exploring Operation: 90-43=47, Resulting Numbers: [22, 47] Generated Node #0,0,0: 37:[22, 47] Operation: 90-43=47 Exploring Operation: 90-22=68, Resulting Numbers: [43, 68] Generated Node #0,0,1: 37:[43, 68] Operation: 90-22=68 Moving to Node #0,0,0 Current State: 37:[22, 47], Operations: ['96-74=22', '90-43=47'] Exploring Operation: 22+47=69, Resulting Numbers: [69] 69,37 unequal: No Solution Exploring Operation: 47-22=25, Resulting Numbers: [25] 25,37 unequal: No Solution Moving to Node #0,0,1 Current State: 37:[43, 68], Operations: ['96-74=22', '90-22=68'] Exploring Operation: 43+68=111, Resulting Numbers: [111] 111,37 unequal: No Solution Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,37 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 37:[43, 74, 6], Operations: ['96-90=6'] Exploring Operation: 43-6=37, Resulting Numbers: [74, 37] Generated Node #0,1,0: 37:[74, 37] Operation: 43-6=37 Exploring Operation: 74-43=31, Resulting Numbers: [6, 31] Generated Node #0,1,1: 37:[6, 31] Operation: 74-43=31 Moving to Node #0,1,0 Current State: 37:[74, 37], Operations: ['96-90=6', '43-6=37'] Exploring Operation: 74-37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Moving to Node #0 Current State: 37:[96, 43, 74, 90], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [43, 74, 6] Generated Node #0,1: 37:[43, 74, 6] Operation: 96-90=6 Moving to Node #0,1 Current State: 37:[43, 74, 6], Operations: ['96-90=6'] Exploring Operation: 43-6=37, Resulting Numbers: [74, 37] Generated Node #0,1,0: 37:[74, 37] Operation: 43-6=37 Moving to Node #0,1,0 Current State: 37:[74, 37], Operations: ['96-90=6', '43-6=37'] Exploring Operation: 74-37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
mult_heuristic
[ 41, 2, 7, 27 ]
96
[ "41-27=14", "7*14=98", "98-2=96" ]
Current State: 96:[41, 2, 7, 27], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [2, 7, 14] Generated Node #2: [2, 7, 14] from Operation: 41-27=14 Current State: 96:[2, 7, 14], Operations: ['41-27=14'] Exploring Operation: 7*14=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 7*14=98 Current State: 96:[2, 98], Operations: ['41-27=14', '7*14=98'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[41, 2, 7, 27], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [2, 7, 14] Generated Node #0,0: 96:[2, 7, 14] Operation: 41-27=14 Exploring Operation: 41+7=48, Resulting Numbers: [2, 27, 48] Generated Node #0,1: 96:[2, 27, 48] Operation: 41+7=48 Moving to Node #0,0 Current State: 96:[2, 7, 14], Operations: ['41-27=14'] Exploring Operation: 2+14=16, Resulting Numbers: [7, 16] Generated Node #0,0,0: 96:[7, 16] Operation: 2+14=16 Exploring Operation: 14/7=2, Resulting Numbers: [2, 2] Generated Node #0,0,1: 96:[2, 2] Operation: 14/7=2 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 96:[2, 2], Operations: ['41-27=14', '14/7=2'] Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,96 unequal: No Solution Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 96:[7, 16], Operations: ['41-27=14', '2+14=16'] Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,96 unequal: No Solution Exploring Operation: 7+16=23, Resulting Numbers: [23] 23,96 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: 96:[2, 27, 48], Operations: ['41+7=48'] Exploring Operation: 2+27=29, Resulting Numbers: [48, 29] Generated Node #0,1,0: 96:[48, 29] Operation: 2+27=29 Exploring Operation: 27-2=25, Resulting Numbers: [48, 25] Generated Node #0,1,1: 96:[48, 25] Operation: 27-2=25 Moving to Node #0,1,1 Current State: 96:[48, 25], Operations: ['41+7=48', '27-2=25'] Exploring Operation: 48+25=73, Resulting Numbers: [73] 73,96 unequal: No Solution Exploring Operation: 48-25=23, Resulting Numbers: [23] 23,96 unequal: No Solution Moving to Node #0,1,0 Current State: 96:[48, 29], Operations: ['41+7=48', '2+27=29'] Exploring Operation: 48+29=77, Resulting Numbers: [77] 77,96 unequal: No Solution Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,96 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 98, 88, 98, 41 ]
48
[ "98/98=1", "88-41=47", "1+47=48" ]
Current State: 48:[98, 88, 98, 41], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [88, 41, 1] Generated Node #2: [88, 41, 1] from Operation: 98/98=1 Current State: 48:[88, 41, 1], Operations: ['98/98=1'] Exploring Operation: 88-41=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 88-41=47 Current State: 48:[1, 47], Operations: ['98/98=1', '88-41=47'] Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[98, 88, 98, 41], Operations: [] Exploring Operation: 98-41=57, Resulting Numbers: [88, 98, 57] Generated Node #0,0: 48:[88, 98, 57] Operation: 98-41=57 Exploring Operation: 98-88=10, Resulting Numbers: [98, 41, 10] Generated Node #0,1: 48:[98, 41, 10] Operation: 98-88=10 Exploring Operation: 98-88=10, Resulting Numbers: [98, 41, 10] Generated Node #0,2: 48:[98, 41, 10] Operation: 98-88=10 Exploring Operation: 98-98=0, Resulting Numbers: [88, 41, 0] Generated Node #0,3: 48:[88, 41, 0] Operation: 98-98=0 Exploring Operation: 98/98=1, Resulting Numbers: [88, 41, 1] Generated Node #0,4: 48:[88, 41, 1] Operation: 98/98=1 Moving to Node #0,4 Current State: 48:[88, 41, 1], Operations: ['98/98=1'] Exploring Operation: 41+1=42, Resulting Numbers: [88, 42] Generated Node #0,4,0: 48:[88, 42] Operation: 41+1=42 Exploring Operation: 88*1=88, Resulting Numbers: [41, 88] Generated Node #0,4,1: 48:[41, 88] Operation: 88*1=88 Exploring Operation: 88-1=87, Resulting Numbers: [41, 87] Generated Node #0,4,2: 48:[41, 87] Operation: 88-1=87 Exploring Operation: 88-41=47, Resulting Numbers: [1, 47] Generated Node #0,4,3: 48:[1, 47] Operation: 88-41=47 Exploring Operation: 88/1=88, Resulting Numbers: [41, 88] Generated Node #0,4,4: 48:[41, 88] Operation: 88/1=88 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 48:[1, 47], Operations: ['98/98=1', '88-41=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,48 unequal: No Solution Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,48 unequal: No Solution Exploring Operation: 47/1=47, Resulting Numbers: [47] 47,48 unequal: No Solution Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[98, 88, 98, 41], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [88, 41, 1] Generated Node #0,4: 48:[88, 41, 1] Operation: 98/98=1 Moving to Node #0,4 Current State: 48:[88, 41, 1], Operations: ['98/98=1'] Exploring Operation: 88-41=47, Resulting Numbers: [1, 47] Generated Node #0,4,3: 48:[1, 47] Operation: 88-41=47 Moving to Node #0,4,3 Current State: 48:[1, 47], Operations: ['98/98=1', '88-41=47'] Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_5
sum_heuristic
[ 3, 2, 68, 69 ]
47
[ "69/3=23", "2+68=70", "70-23=47" ]
Current State: 47:[3, 2, 68, 69], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [2, 68, 23] Generated Node #2: [2, 68, 23] from Operation: 69/3=23 Current State: 47:[2, 68, 23], Operations: ['69/3=23'] Exploring Operation: 2+68=70, Resulting Numbers: [23, 70] Generated Node #3: [23, 70] from Operation: 2+68=70 Current State: 47:[23, 70], Operations: ['69/3=23', '2+68=70'] Exploring Operation: 70-23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[3, 2, 68, 69], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [3, 69, 34] Generated Node #0,0: 47:[3, 69, 34] Operation: 68/2=34 Exploring Operation: 3*2=6, Resulting Numbers: [68, 69, 6] Generated Node #0,1: 47:[68, 69, 6] Operation: 3*2=6 Exploring Operation: 69-3=66, Resulting Numbers: [2, 68, 66] Generated Node #0,2: 47:[2, 68, 66] Operation: 69-3=66 Exploring Operation: 68-3=65, Resulting Numbers: [2, 69, 65] Generated Node #0,3: 47:[2, 69, 65] Operation: 68-3=65 Exploring Operation: 3+2=5, Resulting Numbers: [68, 69, 5] Generated Node #0,4: 47:[68, 69, 5] Operation: 3+2=5 Moving to Node #0,0 Current State: 47:[3, 69, 34], Operations: ['68/2=34'] Exploring Operation: 3+34=37, Resulting Numbers: [69, 37] Generated Node #0,0,0: 47:[69, 37] Operation: 3+34=37 Exploring Operation: 3+69=72, Resulting Numbers: [34, 72] Generated Node #0,0,1: 47:[34, 72] Operation: 3+69=72 Exploring Operation: 69-3=66, Resulting Numbers: [34, 66] Generated Node #0,0,2: 47:[34, 66] Operation: 69-3=66 Exploring Operation: 69/3=23, Resulting Numbers: [34, 23] Generated Node #0,0,3: 47:[34, 23] Operation: 69/3=23 Exploring Operation: 34-3=31, Resulting Numbers: [69, 31] Generated Node #0,0,4: 47:[69, 31] Operation: 34-3=31 Moving to Node #0,1 Current State: 47:[68, 69, 6], Operations: ['3*2=6'] Exploring Operation: 68-6=62, Resulting Numbers: [69, 62] Generated Node #0,1,0: 47:[69, 62] Operation: 68-6=62 Exploring Operation: 69-6=63, Resulting Numbers: [68, 63] Generated Node #0,1,1: 47:[68, 63] Operation: 69-6=63 Exploring Operation: 68+6=74, Resulting Numbers: [69, 74] Generated Node #0,1,2: 47:[69, 74] Operation: 68+6=74 Exploring Operation: 69+6=75, Resulting Numbers: [68, 75] Generated Node #0,1,3: 47:[68, 75] Operation: 69+6=75 Exploring Operation: 69-68=1, Resulting Numbers: [6, 1] Generated Node #0,1,4: 47:[6, 1] Operation: 69-68=1 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 47:[69, 62], Operations: ['3*2=6', '68-6=62'] Exploring Operation: 69*62=4278, Resulting Numbers: [4278] 4278,47 unequal: No Solution Exploring Operation: 69+62=131, Resulting Numbers: [131] 131,47 unequal: No Solution Exploring Operation: 69-62=7, Resulting Numbers: [7] 7,47 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 #0,1,1 Current State: 47:[68, 63], Operations: ['3*2=6', '69-6=63'] Exploring Operation: 68+63=131, Resulting Numbers: [131] 131,47 unequal: No Solution Exploring Operation: 68*63=4284, Resulting Numbers: [4284] 4284,47 unequal: No Solution Exploring Operation: 68-63=5, Resulting Numbers: [5] 5,47 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 #0,1,2 Current State: 47:[69, 74], Operations: ['3*2=6', '68+6=74'] Exploring Operation: 74-69=5, Resulting Numbers: [5] 5,47 unequal: No Solution Exploring Operation: 69*74=5106, Resulting Numbers: [5106] 5106,47 unequal: No Solution Exploring Operation: 69+74=143, Resulting Numbers: [143] 143,47 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 #0,1,3 Current State: 47:[68, 75], Operations: ['3*2=6', '69+6=75'] Exploring Operation: 68+75=143, Resulting Numbers: [143] 143,47 unequal: No Solution Exploring Operation: 68*75=5100, Resulting Numbers: [5100] 5100,47 unequal: No Solution Exploring Operation: 75-68=7, Resulting Numbers: [7] 7,47 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 #0,1,4 Current State: 47:[6, 1], Operations: ['3*2=6', '69-68=1'] Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,47 unequal: No Solution Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,47 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:[2, 68, 66], Operations: ['69-3=66'] Exploring Operation: 68-2=66, Resulting Numbers: [66, 66] Generated Node #0,2,0: 47:[66, 66] Operation: 68-2=66 Exploring Operation: 2+68=70, Resulting Numbers: [66, 70] Generated Node #0,2,1: 47:[66, 70] Operation: 2+68=70 Exploring Operation: 68/2=34, Resulting Numbers: [66, 34] Generated Node #0,2,2: 47:[66, 34] Operation: 68/2=34 Exploring Operation: 66/2=33, Resulting Numbers: [68, 33] Generated Node #0,2,3: 47:[68, 33] Operation: 66/2=33 Exploring Operation: 66-2=64, Resulting Numbers: [68, 64] Generated Node #0,2,4: 47:[68, 64] Operation: 66-2=64 Moving to Node #0,3 Current State: 47:[2, 69, 65], Operations: ['68-3=65'] Exploring Operation: 2+65=67, Resulting Numbers: [69, 67] Generated Node #0,3,0: 47:[69, 67] Operation: 2+65=67 Exploring Operation: 69-2=67, Resulting Numbers: [65, 67] Generated Node #0,3,1: 47:[65, 67] Operation: 69-2=67 Exploring Operation: 69-65=4, Resulting Numbers: [2, 4] Generated Node #0,3,2: 47:[2, 4] Operation: 69-65=4 Exploring Operation: 2+69=71, Resulting Numbers: [65, 71] Generated Node #0,3,3: 47:[65, 71] Operation: 2+69=71 Exploring Operation: 65-2=63, Resulting Numbers: [69, 63] Generated Node #0,3,4: 47:[69, 63] Operation: 65-2=63 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 47:[65, 67], Operations: ['68-3=65', '69-2=67'] Exploring Operation: 65*67=4355, Resulting Numbers: [4355] 4355,47 unequal: No Solution Exploring Operation: 67-65=2, Resulting Numbers: [2] 2,47 unequal: No Solution Exploring Operation: 65+67=132, Resulting Numbers: [132] 132,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 47:[69, 63], Operations: ['68-3=65', '65-2=63'] Exploring Operation: 69*63=4347, Resulting Numbers: [4347] 4347,47 unequal: No Solution Exploring Operation: 69+63=132, Resulting Numbers: [132] 132,47 unequal: No Solution Exploring Operation: 69-63=6, Resulting Numbers: [6] 6,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 47:[69, 67], Operations: ['68-3=65', '2+65=67'] Exploring Operation: 69+67=136, Resulting Numbers: [136] 136,47 unequal: No Solution Exploring Operation: 69-67=2, Resulting Numbers: [2] 2,47 unequal: No Solution Exploring Operation: 69*67=4623, Resulting Numbers: [4623] 4623,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 47:[65, 71], Operations: ['68-3=65', '2+69=71'] Exploring Operation: 71-65=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 65+71=136, Resulting Numbers: [136] 136,47 unequal: No Solution Exploring Operation: 65*71=4615, Resulting Numbers: [4615] 4615,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 47:[2, 4], Operations: ['68-3=65', '69-65=4'] Exploring Operation: 2*4=8, Resulting Numbers: [8] 8,47 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,47 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,47 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: 47:[68, 69, 5], Operations: ['3+2=5'] Exploring Operation: 69+5=74, Resulting Numbers: [68, 74] Generated Node #0,4,0: 47:[68, 74] Operation: 69+5=74 Exploring Operation: 69-5=64, Resulting Numbers: [68, 64] Generated Node #0,4,1: 47:[68, 64] Operation: 69-5=64 Exploring Operation: 68+5=73, Resulting Numbers: [69, 73] Generated Node #0,4,2: 47:[69, 73] Operation: 68+5=73 Exploring Operation: 69-68=1, Resulting Numbers: [5, 1] Generated Node #0,4,3: 47:[5, 1] Operation: 69-68=1 Exploring Operation: 68-5=63, Resulting Numbers: [69, 63] Generated Node #0,4,4: 47:[69, 63] Operation: 68-5=63 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 47:[68, 64], Operations: ['3+2=5', '69-5=64'] Exploring Operation: 68-64=4, Resulting Numbers: [4] 4,47 unequal: No Solution Exploring Operation: 68+64=132, Resulting Numbers: [132] 132,47 unequal: No Solution Exploring Operation: 68*64=4352, Resulting Numbers: [4352] 4352,47 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:[69, 63], Operations: ['3+2=5', '68-5=63'] Exploring Operation: 69-63=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 69*63=4347, Resulting Numbers: [4347] 4347,47 unequal: No Solution Exploring Operation: 69+63=132, Resulting Numbers: [132] 132,47 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 #0,4,0 Current State: 47:[68, 74], Operations: ['3+2=5', '69+5=74'] Exploring Operation: 68*74=5032, Resulting Numbers: [5032] 5032,47 unequal: No Solution Exploring Operation: 74-68=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 68+74=142, Resulting Numbers: [142] 142,47 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:[69, 73], Operations: ['3+2=5', '68+5=73'] Exploring Operation: 73-69=4, Resulting Numbers: [4] 4,47 unequal: No Solution Exploring Operation: 69*73=5037, Resulting Numbers: [5037] 5037,47 unequal: No Solution Exploring Operation: 69+73=142, Resulting Numbers: [142] 142,47 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:[5, 1], Operations: ['3+2=5', '69-68=1'] Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,47 unequal: No Solution Exploring Operation: 5*1=5, Resulting Numbers: [5] 5,47 unequal: No Solution Exploring Operation: 5+1=6, Resulting Numbers: [6] 6,47 unequal: No Solution Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,47 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: 47:[69, 37], Operations: ['68/2=34', '3+34=37'] Exploring Operation: 69+37=106, Resulting Numbers: [106] 106,47 unequal: No Solution Exploring Operation: 69*37=2553, Resulting Numbers: [2553] 2553,47 unequal: No Solution Exploring Operation: 69-37=32, Resulting Numbers: [32] 32,47 unequal: No Solution Moving to Node #0,2,2 Current State: 47:[66, 34], Operations: ['69-3=66', '68/2=34'] Exploring Operation: 66+34=100, Resulting Numbers: [100] 100,47 unequal: No Solution Exploring Operation: 66*34=2244, Resulting Numbers: [2244] 2244,47 unequal: No Solution Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,47 unequal: No Solution Moving to Node #0,0,2 Current State: 47:[34, 66], Operations: ['68/2=34', '69-3=66'] Exploring Operation: 34*66=2244, Resulting Numbers: [2244] 2244,47 unequal: No Solution Exploring Operation: 34+66=100, Resulting Numbers: [100] 100,47 unequal: No Solution Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,47 unequal: No Solution Moving to Node #0,2,3 Current State: 47:[68, 33], Operations: ['69-3=66', '66/2=33'] Exploring Operation: 68+33=101, Resulting Numbers: [101] 101,47 unequal: No Solution Exploring Operation: 68-33=35, Resulting Numbers: [35] 35,47 unequal: No Solution Exploring Operation: 68*33=2244, Resulting Numbers: [2244] 2244,47 unequal: No Solution Moving to Node #0,0,3 Current State: 47:[34, 23], Operations: ['68/2=34', '69/3=23'] Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,47 unequal: No Solution Exploring Operation: 34+23=57, Resulting Numbers: [57] 57,47 unequal: No Solution Exploring Operation: 34*23=782, Resulting Numbers: [782] 782,47 unequal: No Solution Moving to Node #0,2,0 Current State: 47:[66, 66], Operations: ['69-3=66', '68-2=66'] Exploring Operation: 66*66=4356, Resulting Numbers: [4356] 4356,47 unequal: No Solution Exploring Operation: 66/66=1, Resulting Numbers: [1] 1,47 unequal: No Solution Exploring Operation: 66-66=0, Resulting Numbers: [0] 0,47 unequal: No Solution Exploring Operation: 66+66=132, Resulting Numbers: [132] 132,47 unequal: No Solution Moving to Node #0,0,4 Current State: 47:[69, 31], Operations: ['68/2=34', '34-3=31'] Exploring Operation: 69*31=2139, Resulting Numbers: [2139] 2139,47 unequal: No Solution Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,47 unequal: No Solution Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,47 unequal: No Solution Moving to Node #0,0,1 Current State: 47:[34, 72], Operations: ['68/2=34', '3+69=72'] Exploring Operation: 72-34=38, Resulting Numbers: [38] 38,47 unequal: No Solution Exploring Operation: 34*72=2448, Resulting Numbers: [2448] 2448,47 unequal: No Solution Exploring Operation: 34+72=106, Resulting Numbers: [106] 106,47 unequal: No Solution Moving to Node #0,2,4 Current State: 47:[68, 64], Operations: ['69-3=66', '66-2=64'] Exploring Operation: 68-64=4, Resulting Numbers: [4] 4,47 unequal: No Solution Exploring Operation: 68+64=132, Resulting Numbers: [132] 132,47 unequal: No Solution Exploring Operation: 68*64=4352, Resulting Numbers: [4352] 4352,47 unequal: No Solution Moving to Node #0,2,1 Current State: 47:[66, 70], Operations: ['69-3=66', '2+68=70'] Exploring Operation: 66+70=136, Resulting Numbers: [136] 136,47 unequal: No Solution Exploring Operation: 70-66=4, Resulting Numbers: [4] 4,47 unequal: No Solution Exploring Operation: 66*70=4620, Resulting Numbers: [4620] 4620,47 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 71, 11, 24, 12 ]
46
[ "71+11=82", "24+12=36", "82-36=46" ]
Current State: 46:[71, 11, 24, 12], Operations: [] Exploring Operation: 71+11=82, Resulting Numbers: [24, 12, 82] Generated Node #2: [24, 12, 82] from Operation: 71+11=82 Current State: 46:[24, 12, 82], Operations: ['71+11=82'] Exploring Operation: 24+12=36, Resulting Numbers: [82, 36] Generated Node #3: [82, 36] from Operation: 24+12=36 Current State: 46:[82, 36], Operations: ['71+11=82', '24+12=36'] Exploring Operation: 82-36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[71, 11, 24, 12], Operations: [] Exploring Operation: 71-12=59, Resulting Numbers: [11, 24, 59] Generated Node #0,0: 46:[11, 24, 59] Operation: 71-12=59 Exploring Operation: 71-11=60, Resulting Numbers: [24, 12, 60] Generated Node #0,1: 46:[24, 12, 60] Operation: 71-11=60 Exploring Operation: 71-24=47, Resulting Numbers: [11, 12, 47] Generated Node #0,2: 46:[11, 12, 47] Operation: 71-24=47 Exploring Operation: 11+12=23, Resulting Numbers: [71, 24, 23] Generated Node #0,3: 46:[71, 24, 23] Operation: 11+12=23 Exploring Operation: 12-11=1, Resulting Numbers: [71, 24, 1] Generated Node #0,4: 46:[71, 24, 1] Operation: 12-11=1 Moving to Node #0,2 Current State: 46:[11, 12, 47], Operations: ['71-24=47'] Exploring Operation: 47-12=35, Resulting Numbers: [11, 35] Generated Node #0,2,0: 46:[11, 35] Operation: 47-12=35 Exploring Operation: 11+12=23, Resulting Numbers: [47, 23] Generated Node #0,2,1: 46:[47, 23] Operation: 11+12=23 Exploring Operation: 11+47=58, Resulting Numbers: [12, 58] Generated Node #0,2,2: 46:[12, 58] Operation: 11+47=58 Exploring Operation: 12-11=1, Resulting Numbers: [47, 1] Generated Node #0,2,3: 46:[47, 1] Operation: 12-11=1 Exploring Operation: 47-11=36, Resulting Numbers: [12, 36] Generated Node #0,2,4: 46:[12, 36] Operation: 47-11=36 Moving to Node #0,0 Current State: 46:[11, 24, 59], Operations: ['71-12=59'] Exploring Operation: 24-11=13, Resulting Numbers: [59, 13] Generated Node #0,0,0: 46:[59, 13] Operation: 24-11=13 Exploring Operation: 59-24=35, Resulting Numbers: [11, 35] Generated Node #0,0,1: 46:[11, 35] Operation: 59-24=35 Exploring Operation: 11+59=70, Resulting Numbers: [24, 70] Generated Node #0,0,2: 46:[24, 70] Operation: 11+59=70 Exploring Operation: 11+24=35, Resulting Numbers: [59, 35] Generated Node #0,0,3: 46:[59, 35] Operation: 11+24=35 Exploring Operation: 59-11=48, Resulting Numbers: [24, 48] Generated Node #0,0,4: 46:[24, 48] Operation: 59-11=48 Moving to Node #0,1 Current State: 46:[24, 12, 60], Operations: ['71-11=60'] Exploring Operation: 60-12=48, Resulting Numbers: [24, 48] Generated Node #0,1,0: 46:[24, 48] Operation: 60-12=48 Exploring Operation: 60/12=5, Resulting Numbers: [24, 5] Generated Node #0,1,1: 46:[24, 5] Operation: 60/12=5 Exploring Operation: 60-24=36, Resulting Numbers: [12, 36] Generated Node #0,1,2: 46:[12, 36] Operation: 60-24=36 Exploring Operation: 24+12=36, Resulting Numbers: [60, 36] Generated Node #0,1,3: 46:[60, 36] Operation: 24+12=36 Exploring Operation: 24/12=2, Resulting Numbers: [60, 2] Generated Node #0,1,4: 46:[60, 2] Operation: 24/12=2 Moving to Node #0,3 Current State: 46:[71, 24, 23], Operations: ['11+12=23'] Exploring Operation: 24-23=1, Resulting Numbers: [71, 1] Generated Node #0,3,0: 46:[71, 1] Operation: 24-23=1 Exploring Operation: 71-24=47, Resulting Numbers: [23, 47] Generated Node #0,3,1: 46:[23, 47] Operation: 71-24=47 Exploring Operation: 24+23=47, Resulting Numbers: [71, 47] Generated Node #0,3,2: 46:[71, 47] Operation: 24+23=47 Exploring Operation: 71-23=48, Resulting Numbers: [24, 48] Generated Node #0,3,3: 46:[24, 48] Operation: 71-23=48 Exploring Operation: 71+24=95, Resulting Numbers: [23, 95] Generated Node #0,3,4: 46:[23, 95] Operation: 71+24=95 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 46:[23, 47], Operations: ['11+12=23', '71-24=47'] Exploring Operation: 23*47=1081, Resulting Numbers: [1081] 1081,46 unequal: No Solution Exploring Operation: 47-23=24, Resulting Numbers: [24] 24,46 unequal: No Solution Exploring Operation: 23+47=70, Resulting Numbers: [70] 70,46 unequal: No Solution No 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: 46:[24, 48], Operations: ['11+12=23', '71-23=48'] Exploring Operation: 24+48=72, Resulting Numbers: [72] 72,46 unequal: No Solution Exploring Operation: 48-24=24, Resulting Numbers: [24] 24,46 unequal: No Solution Exploring Operation: 24*48=1152, Resulting Numbers: [1152] 1152,46 unequal: No Solution Exploring Operation: 48/24=2, Resulting Numbers: [2] 2,46 unequal: No Solution No 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: 46:[71, 1], Operations: ['11+12=23', '24-23=1'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,46 unequal: No Solution Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,46 unequal: No Solution Exploring Operation: 71/1=71, Resulting Numbers: [71] 71,46 unequal: No Solution Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,46 unequal: No Solution No 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: 46:[71, 47], Operations: ['11+12=23', '24+23=47'] Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,46 unequal: No Solution Exploring Operation: 71*47=3337, Resulting Numbers: [3337] 3337,46 unequal: No Solution Exploring Operation: 71+47=118, Resulting Numbers: [118] 118,46 unequal: No Solution No 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: 46:[23, 95], Operations: ['11+12=23', '71+24=95'] Exploring Operation: 95-23=72, Resulting Numbers: [72] 72,46 unequal: No Solution Exploring Operation: 23*95=2185, Resulting Numbers: [2185] 2185,46 unequal: No Solution Exploring Operation: 23+95=118, Resulting Numbers: [118] 118,46 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: 46:[71, 24, 1], Operations: ['12-11=1'] Exploring Operation: 71/1=71, Resulting Numbers: [24, 71] Generated Node #0,4,0: 46:[24, 71] Operation: 71/1=71 Exploring Operation: 71*1=71, Resulting Numbers: [24, 71] Generated Node #0,4,1: 46:[24, 71] Operation: 71*1=71 Exploring Operation: 24-1=23, Resulting Numbers: [71, 23] Generated Node #0,4,2: 46:[71, 23] Operation: 24-1=23 Exploring Operation: 71-1=70, Resulting Numbers: [24, 70] Generated Node #0,4,3: 46:[24, 70] Operation: 71-1=70 Exploring Operation: 71-24=47, Resulting Numbers: [1, 47] Generated Node #0,4,4: 46:[1, 47] Operation: 71-24=47 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 46:[1, 47], Operations: ['12-11=1', '71-24=47'] Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,46 unequal: No Solution Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[71, 11, 24, 12], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [71, 24, 1] Generated Node #0,4: 46:[71, 24, 1] Operation: 12-11=1 Moving to Node #0,4 Current State: 46:[71, 24, 1], Operations: ['12-11=1'] Exploring Operation: 71-24=47, Resulting Numbers: [1, 47] Generated Node #0,4,4: 46:[1, 47] Operation: 71-24=47 Moving to Node #0,4,4 Current State: 46:[1, 47], Operations: ['12-11=1', '71-24=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.953993
hs_5
mult_heuristic
[ 58, 35, 24, 17 ]
46
[ "35*24=840", "840-58=782", "782/17=46" ]
Current State: 46:[58, 35, 24, 17], Operations: [] Exploring Operation: 35*24=840, Resulting Numbers: [58, 17, 840] Generated Node #2: [58, 17, 840] from Operation: 35*24=840 Current State: 46:[58, 17, 840], Operations: ['35*24=840'] Exploring Operation: 840-58=782, Resulting Numbers: [17, 782] Generated Node #3: [17, 782] from Operation: 840-58=782 Current State: 46:[17, 782], Operations: ['35*24=840', '840-58=782'] Exploring Operation: 782/17=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[58, 35, 24, 17], Operations: [] Exploring Operation: 58-35=23, Resulting Numbers: [24, 17, 23] Generated Node #0,0: 46:[24, 17, 23] Operation: 58-35=23 Moving to Node #0,0 Current State: 46:[24, 17, 23], Operations: ['58-35=23'] Exploring Operation: 24+17=41, Resulting Numbers: [23, 41] Generated Node #0,0,0: 46:[23, 41] Operation: 24+17=41 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 46:[23, 41], Operations: ['58-35=23', '24+17=41'] Exploring Operation: 41-23=18, Resulting Numbers: [18] 18,46 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
[ 7, 16, 76, 1 ]
74
[ "7+1=8", "16/8=2", "76-2=74" ]
Current State: 74:[7, 16, 76, 1], Operations: [] Exploring Operation: 7+1=8, Resulting Numbers: [16, 76, 8] Generated Node #2: [16, 76, 8] from Operation: 7+1=8 Current State: 74:[16, 76, 8], Operations: ['7+1=8'] Exploring Operation: 16/8=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 16/8=2 Current State: 74:[76, 2], Operations: ['7+1=8', '16/8=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[7, 16, 76, 1], Operations: [] Exploring Operation: 7+16=23, Resulting Numbers: [76, 1, 23] Generated Node #0,0: 74:[76, 1, 23] Operation: 7+16=23 Exploring Operation: 16-7=9, Resulting Numbers: [76, 1, 9] Generated Node #0,1: 74:[76, 1, 9] Operation: 16-7=9 Start Sub Search at level 1: Moving to Node #0,1 Current State: 74:[76, 1, 9], Operations: ['16-7=9'] Exploring Operation: 76-1=75, Resulting Numbers: [9, 75] Generated Node #0,1,0: 74:[9, 75] Operation: 76-1=75 Exploring Operation: 76-9=67, Resulting Numbers: [1, 67] Generated Node #0,1,1: 74:[1, 67] Operation: 76-9=67 Moving to Node #0,1,0 Current State: 74:[9, 75], Operations: ['16-7=9', '76-1=75'] Exploring Operation: 9+75=84, Resulting Numbers: [84] 84,74 unequal: No Solution Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,74 unequal: No Solution Moving to Node #0,1,1 Current State: 74:[1, 67], Operations: ['16-7=9', '76-9=67'] Exploring Operation: 1*67=67, Resulting Numbers: [67] 67,74 unequal: No Solution Exploring Operation: 1+67=68, Resulting Numbers: [68] 68,74 unequal: No Solution No 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: 74:[76, 1, 23], Operations: ['7+16=23'] Exploring Operation: 76-1=75, Resulting Numbers: [23, 75] Generated Node #0,0,0: 74:[23, 75] Operation: 76-1=75 Exploring Operation: 1+23=24, Resulting Numbers: [76, 24] Generated Node #0,0,1: 74:[76, 24] Operation: 1+23=24 Moving to Node #0,0,0 Current State: 74:[23, 75], Operations: ['7+16=23', '76-1=75'] Exploring Operation: 23+75=98, Resulting Numbers: [98] 98,74 unequal: No Solution Exploring Operation: 75-23=52, Resulting Numbers: [52] 52,74 unequal: No Solution Moving to Node #0,0,1 Current State: 74:[76, 24], Operations: ['7+16=23', '1+23=24'] Exploring Operation: 76+24=100, Resulting Numbers: [100] 100,74 unequal: No Solution Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,74 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
[ 76, 96, 90, 2 ]
79
[ "96-90=6", "6/2=3", "76+3=79" ]
Current State: 79:[76, 96, 90, 2], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [76, 2, 6] Generated Node #2: [76, 2, 6] from Operation: 96-90=6 Current State: 79:[76, 2, 6], Operations: ['96-90=6'] Exploring Operation: 6/2=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 6/2=3 Current State: 79:[76, 3], Operations: ['96-90=6', '6/2=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[76, 96, 90, 2], Operations: [] Exploring Operation: 76+2=78, Resulting Numbers: [96, 90, 78] Generated Node #0,0: 79:[96, 90, 78] Operation: 76+2=78 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[96, 90, 78], Operations: ['76+2=78'] Exploring Operation: 96-78=18, Resulting Numbers: [90, 18] Generated Node #0,0,0: 79:[90, 18] Operation: 96-78=18 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 79:[90, 18], Operations: ['76+2=78', '96-78=18'] Exploring Operation: 90-18=72, Resulting Numbers: [72] 72,79 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 No solution found.
0
hs_1
sum_heuristic
[ 7, 76, 51, 87 ]
16
[ "76-51=25", "87+25=112", "112/7=16" ]
Current State: 16:[7, 76, 51, 87], Operations: [] Exploring Operation: 76-51=25, Resulting Numbers: [7, 87, 25] Generated Node #2: [7, 87, 25] from Operation: 76-51=25 Current State: 16:[7, 87, 25], Operations: ['76-51=25'] Exploring Operation: 87+25=112, Resulting Numbers: [7, 112] Generated Node #3: [7, 112] from Operation: 87+25=112 Current State: 16:[7, 112], Operations: ['76-51=25', '87+25=112'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
Current State: 16:[7, 76, 51, 87], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [7, 51, 11] Generated Node #0,0: 16:[7, 51, 11] Operation: 87-76=11 Exploring Operation: 76-51=25, Resulting Numbers: [7, 87, 25] Generated Node #0,1: 16:[7, 87, 25] Operation: 76-51=25 Moving to Node #0,0 Current State: 16:[7, 51, 11], Operations: ['87-76=11'] Exploring Operation: 51-7=44, Resulting Numbers: [11, 44] Generated Node #0,0,0: 16:[11, 44] Operation: 51-7=44 Exploring Operation: 51-11=40, Resulting Numbers: [7, 40] Generated Node #0,0,1: 16:[7, 40] Operation: 51-11=40 Moving to Node #0,1 Current State: 16:[7, 87, 25], Operations: ['76-51=25'] Exploring Operation: 87-7=80, Resulting Numbers: [25, 80] Generated Node #0,1,0: 16:[25, 80] Operation: 87-7=80 Exploring Operation: 87-25=62, Resulting Numbers: [7, 62] Generated Node #0,1,1: 16:[7, 62] Operation: 87-25=62 Moving to Node #0,0,1 Current State: 16:[7, 40], Operations: ['87-76=11', '51-11=40'] Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,16 unequal: No Solution Exploring Operation: 7+40=47, Resulting Numbers: [47] 47,16 unequal: No Solution Moving to Node #0,0,0 Current State: 16:[11, 44], Operations: ['87-76=11', '51-7=44'] Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,16 unequal: No Solution Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,16 unequal: No Solution Moving to Node #0,1,1 Current State: 16:[7, 62], Operations: ['76-51=25', '87-25=62'] Exploring Operation: 62-7=55, Resulting Numbers: [55] 55,16 unequal: No Solution Exploring Operation: 7+62=69, Resulting Numbers: [69] 69,16 unequal: No Solution Moving to Node #0,1,0 Current State: 16:[25, 80], Operations: ['76-51=25', '87-7=80'] Exploring Operation: 25+80=105, Resulting Numbers: [105] 105,16 unequal: No Solution Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,16 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 92, 63, 4, 86 ]
65
[ "92+63=155", "4+86=90", "155-90=65" ]
Current State: 65:[92, 63, 4, 86], Operations: [] Exploring Operation: 92+63=155, Resulting Numbers: [4, 86, 155] Generated Node #2: [4, 86, 155] from Operation: 92+63=155 Current State: 65:[4, 86, 155], Operations: ['92+63=155'] Exploring Operation: 4+86=90, Resulting Numbers: [155, 90] Generated Node #3: [155, 90] from Operation: 4+86=90 Current State: 65:[155, 90], Operations: ['92+63=155', '4+86=90'] Exploring Operation: 155-90=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
Current State: 65:[92, 63, 4, 86], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [63, 4, 6] Generated Node #0,0: 65:[63, 4, 6] Operation: 92-86=6 Exploring Operation: 92/4=23, Resulting Numbers: [63, 86, 23] Generated Node #0,1: 65:[63, 86, 23] Operation: 92/4=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 65:[63, 4, 6], Operations: ['92-86=6'] Exploring Operation: 63+6=69, Resulting Numbers: [4, 69] Generated Node #0,0,0: 65:[4, 69] Operation: 63+6=69 Exploring Operation: 63+4=67, Resulting Numbers: [6, 67] Generated Node #0,0,1: 65:[6, 67] Operation: 63+4=67 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 65:[6, 67], Operations: ['92-86=6', '63+4=67'] Exploring Operation: 6+67=73, Resulting Numbers: [73] 73,65 unequal: No Solution Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,65 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: 65:[4, 69], Operations: ['92-86=6', '63+6=69'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Moving to Node #0 Current State: 65:[92, 63, 4, 86], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [63, 4, 6] Generated Node #0,0: 65:[63, 4, 6] Operation: 92-86=6 Moving to Node #0,0 Current State: 65:[63, 4, 6], Operations: ['92-86=6'] Exploring Operation: 63+6=69, Resulting Numbers: [4, 69] Generated Node #0,0,0: 65:[4, 69] Operation: 63+6=69 Moving to Node #0,0,0 Current State: 65:[4, 69], Operations: ['92-86=6', '63+6=69'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_2
sum_heuristic
[ 5, 98, 45, 79 ]
72
[ "79-45=34", "5*34=170", "170-98=72" ]
Current State: 72:[5, 98, 45, 79], Operations: [] Exploring Operation: 79-45=34, Resulting Numbers: [5, 98, 34] Generated Node #2: [5, 98, 34] from Operation: 79-45=34 Current State: 72:[5, 98, 34], Operations: ['79-45=34'] Exploring Operation: 5*34=170, Resulting Numbers: [98, 170] Generated Node #3: [98, 170] from Operation: 5*34=170 Current State: 72:[98, 170], Operations: ['79-45=34', '5*34=170'] Exploring Operation: 170-98=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[5, 98, 45, 79], Operations: [] Exploring Operation: 98-45=53, Resulting Numbers: [5, 79, 53] Generated Node #0,0: 72:[5, 79, 53] Operation: 98-45=53 Exploring Operation: 45/5=9, Resulting Numbers: [98, 79, 9] Generated Node #0,1: 72:[98, 79, 9] Operation: 45/5=9 Exploring Operation: 98-79=19, Resulting Numbers: [5, 45, 19] Generated Node #0,2: 72:[5, 45, 19] Operation: 98-79=19 Exploring Operation: 79-45=34, Resulting Numbers: [5, 98, 34] Generated Node #0,3: 72:[5, 98, 34] Operation: 79-45=34 Start Sub Search at level 1: Moving to Node #0,2 Current State: 72:[5, 45, 19], Operations: ['98-79=19'] Exploring Operation: 45-19=26, Resulting Numbers: [5, 26] Generated Node #0,2,0: 72:[5, 26] Operation: 45-19=26 Exploring Operation: 5+19=24, Resulting Numbers: [45, 24] Generated Node #0,2,1: 72:[45, 24] Operation: 5+19=24 Exploring Operation: 45/5=9, Resulting Numbers: [19, 9] Generated Node #0,2,2: 72:[19, 9] Operation: 45/5=9 Exploring Operation: 45-5=40, Resulting Numbers: [19, 40] Generated Node #0,2,3: 72:[19, 40] Operation: 45-5=40 Moving to Node #0,2,2 Current State: 72:[19, 9], Operations: ['98-79=19', '45/5=9'] Exploring Operation: 19*9=171, Resulting Numbers: [171] 171,72 unequal: No Solution Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,72 unequal: No Solution Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,72 unequal: No Solution Moving to Node #0,2,0 Current State: 72:[5, 26], Operations: ['98-79=19', '45-19=26'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,72 unequal: No Solution Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,72 unequal: No Solution Exploring Operation: 5*26=130, Resulting Numbers: [130] 130,72 unequal: No Solution Moving to Node #0,2,3 Current State: 72:[19, 40], Operations: ['98-79=19', '45-5=40'] Exploring Operation: 19+40=59, Resulting Numbers: [59] 59,72 unequal: No Solution Exploring Operation: 40-19=21, Resulting Numbers: [21] 21,72 unequal: No Solution Exploring Operation: 19*40=760, Resulting Numbers: [760] 760,72 unequal: No Solution Moving to Node #0,2,1 Current State: 72:[45, 24], Operations: ['98-79=19', '5+19=24'] Exploring Operation: 45-24=21, Resulting Numbers: [21] 21,72 unequal: No Solution Exploring Operation: 45*24=1080, Resulting Numbers: [1080] 1080,72 unequal: No Solution Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[5, 79, 53], Operations: ['98-45=53'] Exploring Operation: 5+53=58, Resulting Numbers: [79, 58] Generated Node #0,0,0: 72:[79, 58] Operation: 5+53=58 Exploring Operation: 79-53=26, Resulting Numbers: [5, 26] Generated Node #0,0,1: 72:[5, 26] Operation: 79-53=26 Exploring Operation: 53-5=48, Resulting Numbers: [79, 48] Generated Node #0,0,2: 72:[79, 48] Operation: 53-5=48 Exploring Operation: 79-5=74, Resulting Numbers: [53, 74] Generated Node #0,0,3: 72:[53, 74] Operation: 79-5=74 Moving to Node #0,0,1 Current State: 72:[5, 26], Operations: ['98-45=53', '79-53=26'] Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,72 unequal: No Solution Exploring Operation: 5*26=130, Resulting Numbers: [130] 130,72 unequal: No Solution Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,72 unequal: No Solution Moving to Node #0,0,3 Current State: 72:[53, 74], Operations: ['98-45=53', '79-5=74'] Exploring Operation: 74-53=21, Resulting Numbers: [21] 21,72 unequal: No Solution Exploring Operation: 53+74=127, Resulting Numbers: [127] 127,72 unequal: No Solution Exploring Operation: 53*74=3922, Resulting Numbers: [3922] 3922,72 unequal: No Solution Moving to Node #0,0,2 Current State: 72:[79, 48], Operations: ['98-45=53', '53-5=48'] Exploring Operation: 79-48=31, Resulting Numbers: [31] 31,72 unequal: No Solution Exploring Operation: 79*48=3792, Resulting Numbers: [3792] 3792,72 unequal: No Solution Exploring Operation: 79+48=127, Resulting Numbers: [127] 127,72 unequal: No Solution Moving to Node #0,0,0 Current State: 72:[79, 58], Operations: ['98-45=53', '5+53=58'] Exploring Operation: 79+58=137, Resulting Numbers: [137] 137,72 unequal: No Solution Exploring Operation: 79-58=21, Resulting Numbers: [21] 21,72 unequal: No Solution Exploring Operation: 79*58=4582, Resulting Numbers: [4582] 4582,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 72:[5, 98, 34], Operations: ['79-45=34'] Exploring Operation: 5+34=39, Resulting Numbers: [98, 39] Generated Node #0,3,0: 72:[98, 39] Operation: 5+34=39 Exploring Operation: 98-5=93, Resulting Numbers: [34, 93] Generated Node #0,3,1: 72:[34, 93] Operation: 98-5=93 Exploring Operation: 34-5=29, Resulting Numbers: [98, 29] Generated Node #0,3,2: 72:[98, 29] Operation: 34-5=29 Exploring Operation: 98-34=64, Resulting Numbers: [5, 64] Generated Node #0,3,3: 72:[5, 64] Operation: 98-34=64 Moving to Node #0,3,3 Current State: 72:[5, 64], Operations: ['79-45=34', '98-34=64'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,72 unequal: No Solution Exploring Operation: 5+64=69, Resulting Numbers: [69] 69,72 unequal: No Solution Exploring Operation: 5*64=320, Resulting Numbers: [320] 320,72 unequal: No Solution Moving to Node #0,3,1 Current State: 72:[34, 93], Operations: ['79-45=34', '98-5=93'] Exploring Operation: 34+93=127, Resulting Numbers: [127] 127,72 unequal: No Solution Exploring Operation: 93-34=59, Resulting Numbers: [59] 59,72 unequal: No Solution Exploring Operation: 34*93=3162, Resulting Numbers: [3162] 3162,72 unequal: No Solution Moving to Node #0,3,0 Current State: 72:[98, 39], Operations: ['79-45=34', '5+34=39'] Exploring Operation: 98-39=59, Resulting Numbers: [59] 59,72 unequal: No Solution Exploring Operation: 98+39=137, Resulting Numbers: [137] 137,72 unequal: No Solution Exploring Operation: 98*39=3822, Resulting Numbers: [3822] 3822,72 unequal: No Solution Moving to Node #0,3,2 Current State: 72:[98, 29], Operations: ['79-45=34', '34-5=29'] Exploring Operation: 98+29=127, Resulting Numbers: [127] 127,72 unequal: No Solution Exploring Operation: 98-29=69, Resulting Numbers: [69] 69,72 unequal: No Solution Exploring Operation: 98*29=2842, Resulting Numbers: [2842] 2842,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 72:[98, 79, 9], Operations: ['45/5=9'] Exploring Operation: 98-9=89, Resulting Numbers: [79, 89] Generated Node #0,1,0: 72:[79, 89] Operation: 98-9=89 Exploring Operation: 98+9=107, Resulting Numbers: [79, 107] Generated Node #0,1,1: 72:[79, 107] Operation: 98+9=107 Exploring Operation: 79-9=70, Resulting Numbers: [98, 70] Generated Node #0,1,2: 72:[98, 70] Operation: 79-9=70 Exploring Operation: 98-79=19, Resulting Numbers: [9, 19] Generated Node #0,1,3: 72:[9, 19] Operation: 98-79=19 Moving to Node #0,1,3 Current State: 72:[9, 19], Operations: ['45/5=9', '98-79=19'] Exploring Operation: 9*19=171, Resulting Numbers: [171] 171,72 unequal: No Solution Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 9+19=28, Resulting Numbers: [28] 28,72 unequal: No Solution Moving to Node #0,1,0 Current State: 72:[79, 89], Operations: ['45/5=9', '98-9=89'] Exploring Operation: 79+89=168, Resulting Numbers: [168] 168,72 unequal: No Solution Exploring Operation: 89-79=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 79*89=7031, Resulting Numbers: [7031] 7031,72 unequal: No Solution Moving to Node #0,1,2 Current State: 72:[98, 70], Operations: ['45/5=9', '79-9=70'] Exploring Operation: 98*70=6860, Resulting Numbers: [6860] 6860,72 unequal: No Solution Exploring Operation: 98-70=28, Resulting Numbers: [28] 28,72 unequal: No Solution Exploring Operation: 98+70=168, Resulting Numbers: [168] 168,72 unequal: No Solution Moving to Node #0,1,1 Current State: 72:[79, 107], Operations: ['45/5=9', '98+9=107'] Exploring Operation: 79+107=186, Resulting Numbers: [186] 186,72 unequal: No Solution Exploring Operation: 79*107=8453, Resulting Numbers: [8453] 8453,72 unequal: No Solution Exploring Operation: 107-79=28, Resulting Numbers: [28] 28,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 22, 94, 1, 67 ]
49
[ "22+94=116", "1*67=67", "116-67=49" ]
Current State: 49:[22, 94, 1, 67], Operations: [] Exploring Operation: 22+94=116, Resulting Numbers: [1, 67, 116] Generated Node #2: [1, 67, 116] from Operation: 22+94=116 Current State: 49:[1, 67, 116], Operations: ['22+94=116'] Exploring Operation: 1*67=67, Resulting Numbers: [116, 67] Generated Node #3: [116, 67] from Operation: 1*67=67 Current State: 49:[116, 67], Operations: ['22+94=116', '1*67=67'] Exploring Operation: 116-67=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[22, 94, 1, 67], Operations: [] Exploring Operation: 94-22=72, Resulting Numbers: [1, 67, 72] Generated Node #0,0: 49:[1, 67, 72] Operation: 94-22=72 Exploring Operation: 67-22=45, Resulting Numbers: [94, 1, 45] Generated Node #0,1: 49:[94, 1, 45] Operation: 67-22=45 Exploring Operation: 94-67=27, Resulting Numbers: [22, 1, 27] Generated Node #0,2: 49:[22, 1, 27] Operation: 94-67=27 Moving to Node #0,2 Current State: 49:[22, 1, 27], Operations: ['94-67=27'] Exploring Operation: 27-22=5, Resulting Numbers: [1, 5] Generated Node #0,2,0: 49:[1, 5] Operation: 27-22=5 Exploring Operation: 22+27=49, Resulting Numbers: [1, 49] Generated Node #0,2,1: 49:[1, 49] Operation: 22+27=49 Exploring Operation: 22-1=21, Resulting Numbers: [27, 21] Generated Node #0,2,2: 49:[27, 21] Operation: 22-1=21 Moving to Node #0,0 Current State: 49:[1, 67, 72], Operations: ['94-22=72'] Exploring Operation: 72-1=71, Resulting Numbers: [67, 71] Generated Node #0,0,0: 49:[67, 71] Operation: 72-1=71 Exploring Operation: 72-67=5, Resulting Numbers: [1, 5] Generated Node #0,0,1: 49:[1, 5] Operation: 72-67=5 Exploring Operation: 67-1=66, Resulting Numbers: [72, 66] Generated Node #0,0,2: 49:[72, 66] Operation: 67-1=66 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 49:[1, 5], Operations: ['94-22=72', '72-67=5'] Exploring Operation: 1*5=5, Resulting Numbers: [5] 5,49 unequal: No Solution Exploring Operation: 1+5=6, Resulting Numbers: [6] 6,49 unequal: No Solution Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,49 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 #0,0,0 Current State: 49:[67, 71], Operations: ['94-22=72', '72-1=71'] Exploring Operation: 71-67=4, Resulting Numbers: [4] 4,49 unequal: No Solution Exploring Operation: 67*71=4757, Resulting Numbers: [4757] 4757,49 unequal: No Solution Exploring Operation: 67+71=138, Resulting Numbers: [138] 138,49 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 #0,0,2 Current State: 49:[72, 66], Operations: ['94-22=72', '67-1=66'] Exploring Operation: 72+66=138, Resulting Numbers: [138] 138,49 unequal: No Solution Exploring Operation: 72-66=6, Resulting Numbers: [6] 6,49 unequal: No Solution Exploring Operation: 72*66=4752, Resulting Numbers: [4752] 4752,49 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: 49:[94, 1, 45], Operations: ['67-22=45'] Exploring Operation: 94-45=49, Resulting Numbers: [1, 49] Generated Node #0,1,0: 49:[1, 49] Operation: 94-45=49 Exploring Operation: 1+45=46, Resulting Numbers: [94, 46] Generated Node #0,1,1: 49:[94, 46] Operation: 1+45=46 Exploring Operation: 94-1=93, Resulting Numbers: [45, 93] Generated Node #0,1,2: 49:[45, 93] Operation: 94-1=93 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 49:[1, 49], Operations: ['67-22=45', '94-45=49'] Exploring Operation: 49/1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[22, 94, 1, 67], Operations: [] Exploring Operation: 67-22=45, Resulting Numbers: [94, 1, 45] Generated Node #0,1: 49:[94, 1, 45] Operation: 67-22=45 Moving to Node #0,1 Current State: 49:[94, 1, 45], Operations: ['67-22=45'] Exploring Operation: 94-45=49, Resulting Numbers: [1, 49] Generated Node #0,1,0: 49:[1, 49] Operation: 94-45=49 Moving to Node #0,1,0 Current State: 49:[1, 49], Operations: ['67-22=45', '94-45=49'] Exploring Operation: 49/1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 1
0.977431
hs_3
sum_heuristic
[ 12, 29, 18, 2 ]
31
[ "12+18=30", "2*30=60", "60-29=31" ]
Current State: 31:[12, 29, 18, 2], Operations: [] Exploring Operation: 12+18=30, Resulting Numbers: [29, 2, 30] Generated Node #2: [29, 2, 30] from Operation: 12+18=30 Current State: 31:[29, 2, 30], Operations: ['12+18=30'] Exploring Operation: 2*30=60, Resulting Numbers: [29, 60] Generated Node #3: [29, 60] from Operation: 2*30=60 Current State: 31:[29, 60], Operations: ['12+18=30', '2*30=60'] Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[12, 29, 18, 2], Operations: [] Exploring Operation: 12*2=24, Resulting Numbers: [29, 18, 24] Generated Node #0,0: 31:[29, 18, 24] Operation: 12*2=24 Exploring Operation: 18*2=36, Resulting Numbers: [12, 29, 36] Generated Node #0,1: 31:[12, 29, 36] Operation: 18*2=36 Exploring Operation: 12+18=30, Resulting Numbers: [29, 2, 30] Generated Node #0,2: 31:[29, 2, 30] Operation: 12+18=30 Exploring Operation: 12+2=14, Resulting Numbers: [29, 18, 14] Generated Node #0,3: 31:[29, 18, 14] Operation: 12+2=14 Moving to Node #0,0 Current State: 31:[29, 18, 24], Operations: ['12*2=24'] Exploring Operation: 29+18=47, Resulting Numbers: [24, 47] Generated Node #0,0,0: 31:[24, 47] Operation: 29+18=47 Exploring Operation: 24-18=6, Resulting Numbers: [29, 6] Generated Node #0,0,1: 31:[29, 6] Operation: 24-18=6 Exploring Operation: 29-18=11, Resulting Numbers: [24, 11] Generated Node #0,0,2: 31:[24, 11] Operation: 29-18=11 Exploring Operation: 18+24=42, Resulting Numbers: [29, 42] Generated Node #0,0,3: 31:[29, 42] Operation: 18+24=42 Moving to Node #0,1 Current State: 31:[12, 29, 36], Operations: ['18*2=36'] Exploring Operation: 12+29=41, Resulting Numbers: [36, 41] Generated Node #0,1,0: 31:[36, 41] Operation: 12+29=41 Exploring Operation: 12+36=48, Resulting Numbers: [29, 48] Generated Node #0,1,1: 31:[29, 48] Operation: 12+36=48 Exploring Operation: 36-12=24, Resulting Numbers: [29, 24] Generated Node #0,1,2: 31:[29, 24] Operation: 36-12=24 Exploring Operation: 29-12=17, Resulting Numbers: [36, 17] Generated Node #0,1,3: 31:[36, 17] Operation: 29-12=17 Moving to Node #0,3 Current State: 31:[29, 18, 14], Operations: ['12+2=14'] Exploring Operation: 29+14=43, Resulting Numbers: [18, 43] Generated Node #0,3,0: 31:[18, 43] Operation: 29+14=43 Exploring Operation: 18+14=32, Resulting Numbers: [29, 32] Generated Node #0,3,1: 31:[29, 32] Operation: 18+14=32 Exploring Operation: 18-14=4, Resulting Numbers: [29, 4] Generated Node #0,3,2: 31:[29, 4] Operation: 18-14=4 Exploring Operation: 29-14=15, Resulting Numbers: [18, 15] Generated Node #0,3,3: 31:[18, 15] Operation: 29-14=15 Moving to Node #0,2 Current State: 31:[29, 2, 30], Operations: ['12+18=30'] Exploring Operation: 30-2=28, Resulting Numbers: [29, 28] Generated Node #0,2,0: 31:[29, 28] Operation: 30-2=28 Exploring Operation: 29+2=31, Resulting Numbers: [30, 31] Generated Node #0,2,1: 31:[30, 31] Operation: 29+2=31 Exploring Operation: 2+30=32, Resulting Numbers: [29, 32] Generated Node #0,2,2: 31:[29, 32] Operation: 2+30=32 Exploring Operation: 29-2=27, Resulting Numbers: [30, 27] Generated Node #0,2,3: 31:[30, 27] Operation: 29-2=27 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 31:[30, 31], Operations: ['12+18=30', '29+2=31'] Exploring Operation: 31-30=1, Resulting Numbers: [1] 1,31 unequal: No Solution Exploring Operation: 30+31=61, Resulting Numbers: [61] 61,31 unequal: No Solution Exploring Operation: 30*31=930, Resulting Numbers: [930] 930,31 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:[29, 32], Operations: ['12+18=30', '2+30=32'] Exploring Operation: 32-29=3, Resulting Numbers: [3] 3,31 unequal: No Solution Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,31 unequal: No Solution Exploring Operation: 29*32=928, Resulting Numbers: [928] 928,31 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 #0,2,0 Current State: 31:[29, 28], Operations: ['12+18=30', '30-2=28'] Exploring Operation: 29+28=57, Resulting Numbers: [57] 57,31 unequal: No Solution Exploring Operation: 29*28=812, Resulting Numbers: [812] 812,31 unequal: No Solution Exploring Operation: 29-28=1, Resulting Numbers: [1] 1,31 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 #0,2,3 Current State: 31:[30, 27], Operations: ['12+18=30', '29-2=27'] Exploring Operation: 30+27=57, Resulting Numbers: [57] 57,31 unequal: No Solution Exploring Operation: 30-27=3, Resulting Numbers: [3] 3,31 unequal: No Solution Exploring Operation: 30*27=810, Resulting Numbers: [810] 810,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,1 Current State: 31:[29, 32], Operations: ['12+2=14', '18+14=32'] Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,31 unequal: No Solution Exploring Operation: 29*32=928, Resulting Numbers: [928] 928,31 unequal: No Solution Exploring Operation: 32-29=3, Resulting Numbers: [3] 3,31 unequal: No Solution Moving to Node #0,1,2 Current State: 31:[29, 24], Operations: ['18*2=36', '36-12=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,31 unequal: No Solution Exploring Operation: 29*24=696, Resulting Numbers: [696] 696,31 unequal: No Solution Exploring Operation: 29-24=5, Resulting Numbers: [5] 5,31 unequal: No Solution Moving to Node #0,0,3 Current State: 31:[29, 42], Operations: ['12*2=24', '18+24=42'] Exploring Operation: 29+42=71, Resulting Numbers: [71] 71,31 unequal: No Solution Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,31 unequal: No Solution Exploring Operation: 29*42=1218, Resulting Numbers: [1218] 1218,31 unequal: No Solution Moving to Node #0,1,0 Current State: 31:[36, 41], Operations: ['18*2=36', '12+29=41'] Exploring Operation: 36*41=1476, Resulting Numbers: [1476] 1476,31 unequal: No Solution Exploring Operation: 41-36=5, Resulting Numbers: [5] 5,31 unequal: No Solution Exploring Operation: 36+41=77, Resulting Numbers: [77] 77,31 unequal: No Solution Moving to Node #0,1,1 Current State: 31:[29, 48], Operations: ['18*2=36', '12+36=48'] Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,31 unequal: No Solution Exploring Operation: 29*48=1392, Resulting Numbers: [1392] 1392,31 unequal: No Solution Exploring Operation: 29+48=77, Resulting Numbers: [77] 77,31 unequal: No Solution Moving to Node #0,1,3 Current State: 31:[36, 17], Operations: ['18*2=36', '29-12=17'] Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,31 unequal: No Solution Exploring Operation: 36*17=612, Resulting Numbers: [612] 612,31 unequal: No Solution Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,31 unequal: No Solution Moving to Node #0,0,0 Current State: 31:[24, 47], Operations: ['12*2=24', '29+18=47'] Exploring Operation: 24*47=1128, Resulting Numbers: [1128] 1128,31 unequal: No Solution Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,31 unequal: No Solution Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,31 unequal: No Solution Moving to Node #0,3,0 Current State: 31:[18, 43], Operations: ['12+2=14', '29+14=43'] Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,31 unequal: No Solution Exploring Operation: 18+43=61, Resulting Numbers: [61] 61,31 unequal: No Solution Exploring Operation: 18*43=774, Resulting Numbers: [774] 774,31 unequal: No Solution Moving to Node #0,0,1 Current State: 31:[29, 6], Operations: ['12*2=24', '24-18=6'] Exploring Operation: 29*6=174, Resulting Numbers: [174] 174,31 unequal: No Solution Exploring Operation: 29+6=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 29-6=23, Resulting Numbers: [23] 23,31 unequal: No Solution Moving to Node #0,0,2 Current State: 31:[24, 11], Operations: ['12*2=24', '29-18=11'] Exploring Operation: 24*11=264, Resulting Numbers: [264] 264,31 unequal: No Solution Exploring Operation: 24+11=35, Resulting Numbers: [35] 35,31 unequal: No Solution Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,31 unequal: No Solution Moving to Node #0,3,3 Current State: 31:[18, 15], Operations: ['12+2=14', '29-14=15'] Exploring Operation: 18-15=3, Resulting Numbers: [3] 3,31 unequal: No Solution Exploring Operation: 18+15=33, Resulting Numbers: [33] 33,31 unequal: No Solution Exploring Operation: 18*15=270, Resulting Numbers: [270] 270,31 unequal: No Solution Moving to Node #0,3,2 Current State: 31:[29, 4], Operations: ['12+2=14', '18-14=4'] Exploring Operation: 29+4=33, Resulting Numbers: [33] 33,31 unequal: No Solution Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,31 unequal: No Solution Exploring Operation: 29*4=116, Resulting Numbers: [116] 116,31 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 61, 32, 45, 29 ]
77
[ "61+32=93", "45-29=16", "93-16=77" ]
Current State: 77:[61, 32, 45, 29], Operations: [] Exploring Operation: 61+32=93, Resulting Numbers: [45, 29, 93] Generated Node #2: [45, 29, 93] from Operation: 61+32=93 Current State: 77:[45, 29, 93], Operations: ['61+32=93'] Exploring Operation: 45-29=16, Resulting Numbers: [93, 16] Generated Node #3: [93, 16] from Operation: 45-29=16 Current State: 77:[93, 16], Operations: ['61+32=93', '45-29=16'] Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[61, 32, 45, 29], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [61, 29, 13] Generated Node #0,0: 77:[61, 29, 13] Operation: 45-32=13 Exploring Operation: 45+29=74, Resulting Numbers: [61, 32, 74] Generated Node #0,1: 77:[61, 32, 74] Operation: 45+29=74 Exploring Operation: 32+45=77, Resulting Numbers: [61, 29, 77] Generated Node #0,2: 77:[61, 29, 77] Operation: 32+45=77 Exploring Operation: 45-29=16, Resulting Numbers: [61, 32, 16] Generated Node #0,3: 77:[61, 32, 16] Operation: 45-29=16 Moving to Node #0,2 Current State: 77:[61, 29, 77], Operations: ['32+45=77'] Exploring Operation: 29+77=106, Resulting Numbers: [61, 106] Generated Node #0,2,0: 77:[61, 106] Operation: 29+77=106 Exploring Operation: 61+29=90, Resulting Numbers: [77, 90] Generated Node #0,2,1: 77:[77, 90] Operation: 61+29=90 Exploring Operation: 77-61=16, Resulting Numbers: [29, 16] Generated Node #0,2,2: 77:[29, 16] Operation: 77-61=16 Exploring Operation: 61-29=32, Resulting Numbers: [77, 32] Generated Node #0,2,3: 77:[77, 32] Operation: 61-29=32 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 77:[77, 90], Operations: ['32+45=77', '61+29=90'] Exploring Operation: 77+90=167, Resulting Numbers: [167] 167,77 unequal: No Solution Exploring Operation: 90-77=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 77*90=6930, Resulting Numbers: [6930] 6930,77 unequal: No Solution No 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: 77:[77, 32], Operations: ['32+45=77', '61-29=32'] Exploring Operation: 77+32=109, Resulting Numbers: [109] 109,77 unequal: No Solution Exploring Operation: 77*32=2464, Resulting Numbers: [2464] 2464,77 unequal: No Solution Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,77 unequal: No Solution No 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: 77:[29, 16], Operations: ['32+45=77', '77-61=16'] Exploring Operation: 29*16=464, Resulting Numbers: [464] 464,77 unequal: No Solution Exploring Operation: 29+16=45, Resulting Numbers: [45] 45,77 unequal: No Solution Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,77 unequal: No Solution No 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: 77:[61, 106], Operations: ['32+45=77', '29+77=106'] Exploring Operation: 106-61=45, Resulting Numbers: [45] 45,77 unequal: No Solution Exploring Operation: 61+106=167, Resulting Numbers: [167] 167,77 unequal: No Solution Exploring Operation: 61*106=6466, Resulting Numbers: [6466] 6466,77 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: 77:[61, 29, 13], Operations: ['45-32=13'] Exploring Operation: 61+13=74, Resulting Numbers: [29, 74] Generated Node #0,0,0: 77:[29, 74] Operation: 61+13=74 Exploring Operation: 29-13=16, Resulting Numbers: [61, 16] Generated Node #0,0,1: 77:[61, 16] Operation: 29-13=16 Exploring Operation: 61-29=32, Resulting Numbers: [13, 32] Generated Node #0,0,2: 77:[13, 32] Operation: 61-29=32 Exploring Operation: 61+29=90, Resulting Numbers: [13, 90] Generated Node #0,0,3: 77:[13, 90] Operation: 61+29=90 Moving to Node #0,1 Current State: 77:[61, 32, 74], Operations: ['45+29=74'] Exploring Operation: 61+32=93, Resulting Numbers: [74, 93] Generated Node #0,1,0: 77:[74, 93] Operation: 61+32=93 Exploring Operation: 61-32=29, Resulting Numbers: [74, 29] Generated Node #0,1,1: 77:[74, 29] Operation: 61-32=29 Exploring Operation: 74-61=13, Resulting Numbers: [32, 13] Generated Node #0,1,2: 77:[32, 13] Operation: 74-61=13 Exploring Operation: 32+74=106, Resulting Numbers: [61, 106] Generated Node #0,1,3: 77:[61, 106] Operation: 32+74=106 Moving to Node #0,3 Current State: 77:[61, 32, 16], Operations: ['45-29=16'] Exploring Operation: 32-16=16, Resulting Numbers: [61, 16] Generated Node #0,3,0: 77:[61, 16] Operation: 32-16=16 Exploring Operation: 61+32=93, Resulting Numbers: [16, 93] Generated Node #0,3,1: 77:[16, 93] Operation: 61+32=93 Exploring Operation: 32/16=2, Resulting Numbers: [61, 2] Generated Node #0,3,2: 77:[61, 2] Operation: 32/16=2 Exploring Operation: 61+16=77, Resulting Numbers: [32, 77] Generated Node #0,3,3: 77:[32, 77] Operation: 61+16=77 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 77:[61, 16], Operations: ['45-29=16', '32-16=16'] Exploring Operation: 61-16=45, Resulting Numbers: [45] 45,77 unequal: No Solution Exploring Operation: 61+16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[61, 32, 45, 29], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [61, 32, 16] Generated Node #0,3: 77:[61, 32, 16] Operation: 45-29=16 Moving to Node #0,3 Current State: 77:[61, 32, 16], Operations: ['45-29=16'] Exploring Operation: 32-16=16, Resulting Numbers: [61, 16] Generated Node #0,3,0: 77:[61, 16] Operation: 32-16=16 Moving to Node #0,3,0 Current State: 77:[61, 16], Operations: ['45-29=16', '32-16=16'] Exploring Operation: 61+16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 1
0.967014
hs_4
sum_heuristic
[ 63, 41, 29, 4 ]
15
[ "41-29=12", "4*12=48", "63-48=15" ]
Current State: 15:[63, 41, 29, 4], Operations: [] Exploring Operation: 41-29=12, Resulting Numbers: [63, 4, 12] Generated Node #2: [63, 4, 12] from Operation: 41-29=12 Current State: 15:[63, 4, 12], Operations: ['41-29=12'] Exploring Operation: 4*12=48, Resulting Numbers: [63, 48] Generated Node #3: [63, 48] from Operation: 4*12=48 Current State: 15:[63, 48], Operations: ['41-29=12', '4*12=48'] Exploring Operation: 63-48=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[63, 41, 29, 4], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [63, 29, 37] Generated Node #0,0: 15:[63, 29, 37] Operation: 41-4=37 Exploring Operation: 63-4=59, Resulting Numbers: [41, 29, 59] Generated Node #0,1: 15:[41, 29, 59] Operation: 63-4=59 Exploring Operation: 41-29=12, Resulting Numbers: [63, 4, 12] Generated Node #0,2: 15:[63, 4, 12] Operation: 41-29=12 Exploring Operation: 63-41=22, Resulting Numbers: [29, 4, 22] Generated Node #0,3: 15:[29, 4, 22] Operation: 63-41=22 Exploring Operation: 63-29=34, Resulting Numbers: [41, 4, 34] Generated Node #0,4: 15:[41, 4, 34] Operation: 63-29=34 Moving to Node #0,3 Current State: 15:[29, 4, 22], Operations: ['63-41=22'] Exploring Operation: 22-4=18, Resulting Numbers: [29, 18] Generated Node #0,3,0: 15:[29, 18] Operation: 22-4=18 Exploring Operation: 4+22=26, Resulting Numbers: [29, 26] Generated Node #0,3,1: 15:[29, 26] Operation: 4+22=26 Exploring Operation: 29+4=33, Resulting Numbers: [22, 33] Generated Node #0,3,2: 15:[22, 33] Operation: 29+4=33 Exploring Operation: 29-4=25, Resulting Numbers: [22, 25] Generated Node #0,3,3: 15:[22, 25] Operation: 29-4=25 Exploring Operation: 29-22=7, Resulting Numbers: [4, 7] Generated Node #0,3,4: 15:[4, 7] Operation: 29-22=7 Moving to Node #0,4 Current State: 15:[41, 4, 34], Operations: ['63-29=34'] Exploring Operation: 34-4=30, Resulting Numbers: [41, 30] Generated Node #0,4,0: 15:[41, 30] Operation: 34-4=30 Exploring Operation: 41-4=37, Resulting Numbers: [34, 37] Generated Node #0,4,1: 15:[34, 37] Operation: 41-4=37 Exploring Operation: 41-34=7, Resulting Numbers: [4, 7] Generated Node #0,4,2: 15:[4, 7] Operation: 41-34=7 Exploring Operation: 4+34=38, Resulting Numbers: [41, 38] Generated Node #0,4,3: 15:[41, 38] Operation: 4+34=38 Exploring Operation: 41+4=45, Resulting Numbers: [34, 45] Generated Node #0,4,4: 15:[34, 45] Operation: 41+4=45 Moving to Node #0,2 Current State: 15:[63, 4, 12], Operations: ['41-29=12'] Exploring Operation: 12-4=8, Resulting Numbers: [63, 8] Generated Node #0,2,0: 15:[63, 8] Operation: 12-4=8 Exploring Operation: 63-4=59, Resulting Numbers: [12, 59] Generated Node #0,2,1: 15:[12, 59] Operation: 63-4=59 Exploring Operation: 12/4=3, Resulting Numbers: [63, 3] Generated Node #0,2,2: 15:[63, 3] Operation: 12/4=3 Exploring Operation: 63-12=51, Resulting Numbers: [4, 51] Generated Node #0,2,3: 15:[4, 51] Operation: 63-12=51 Exploring Operation: 4+12=16, Resulting Numbers: [63, 16] Generated Node #0,2,4: 15:[63, 16] Operation: 4+12=16 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 15:[4, 51], Operations: ['41-29=12', '63-12=51'] Exploring Operation: 4*51=204, Resulting Numbers: [204] 204,15 unequal: No Solution Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 4+51=55, Resulting Numbers: [55] 55,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 15:[12, 59], Operations: ['41-29=12', '63-4=59'] Exploring Operation: 12*59=708, Resulting Numbers: [708] 708,15 unequal: No Solution Exploring Operation: 12+59=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 59-12=47, Resulting Numbers: [47] 47,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 15:[63, 3], Operations: ['41-29=12', '12/4=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,15 unequal: No Solution Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,15 unequal: No Solution Exploring Operation: 63*3=189, Resulting Numbers: [189] 189,15 unequal: No Solution Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 15:[63, 16], Operations: ['41-29=12', '4+12=16'] Exploring Operation: 63+16=79, Resulting Numbers: [79] 79,15 unequal: No Solution Exploring Operation: 63*16=1008, Resulting Numbers: [1008] 1008,15 unequal: No Solution Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 15:[63, 8], Operations: ['41-29=12', '12-4=8'] Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,15 unequal: No Solution Exploring Operation: 63*8=504, Resulting Numbers: [504] 504,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 15:[63, 29, 37], Operations: ['41-4=37'] Exploring Operation: 63-29=34, Resulting Numbers: [37, 34] Generated Node #0,0,0: 15:[37, 34] Operation: 63-29=34 Exploring Operation: 37-29=8, Resulting Numbers: [63, 8] Generated Node #0,0,1: 15:[63, 8] Operation: 37-29=8 Exploring Operation: 63+37=100, Resulting Numbers: [29, 100] Generated Node #0,0,2: 15:[29, 100] Operation: 63+37=100 Exploring Operation: 63-37=26, Resulting Numbers: [29, 26] Generated Node #0,0,3: 15:[29, 26] Operation: 63-37=26 Exploring Operation: 63+29=92, Resulting Numbers: [37, 92] Generated Node #0,0,4: 15:[37, 92] Operation: 63+29=92 Moving to Node #0,1 Current State: 15:[41, 29, 59], Operations: ['63-4=59'] Exploring Operation: 59-41=18, Resulting Numbers: [29, 18] Generated Node #0,1,0: 15:[29, 18] Operation: 59-41=18 Exploring Operation: 41+29=70, Resulting Numbers: [59, 70] Generated Node #0,1,1: 15:[59, 70] Operation: 41+29=70 Exploring Operation: 59-29=30, Resulting Numbers: [41, 30] Generated Node #0,1,2: 15:[41, 30] Operation: 59-29=30 Exploring Operation: 41-29=12, Resulting Numbers: [59, 12] Generated Node #0,1,3: 15:[59, 12] Operation: 41-29=12 Exploring Operation: 41+59=100, Resulting Numbers: [29, 100] Generated Node #0,1,4: 15:[29, 100] Operation: 41+59=100 Moving to Node #0,3,4 Current State: 15:[4, 7], Operations: ['63-41=22', '29-22=7'] Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,15 unequal: No Solution Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,15 unequal: No Solution Moving to Node #0,4,2 Current State: 15:[4, 7], Operations: ['63-29=34', '41-34=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,15 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,15 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,15 unequal: No Solution Moving to Node #0,3,3 Current State: 15:[22, 25], Operations: ['63-41=22', '29-4=25'] Exploring Operation: 22*25=550, Resulting Numbers: [550] 550,15 unequal: No Solution Exploring Operation: 22+25=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 25-22=3, Resulting Numbers: [3] 3,15 unequal: No Solution Moving to Node #0,3,0 Current State: 15:[29, 18], Operations: ['63-41=22', '22-4=18'] Exploring Operation: 29*18=522, Resulting Numbers: [522] 522,15 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 29+18=47, Resulting Numbers: [47] 47,15 unequal: No Solution Moving to Node #0,1,0 Current State: 15:[29, 18], Operations: ['63-4=59', '59-41=18'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 29+18=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 29*18=522, Resulting Numbers: [522] 522,15 unequal: No Solution Moving to Node #0,3,2 Current State: 15:[22, 33], Operations: ['63-41=22', '29+4=33'] Exploring Operation: 22*33=726, Resulting Numbers: [726] 726,15 unequal: No Solution Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 22+33=55, Resulting Numbers: [55] 55,15 unequal: No Solution Moving to Node #0,0,3 Current State: 15:[29, 26], Operations: ['41-4=37', '63-37=26'] Exploring Operation: 29+26=55, Resulting Numbers: [55] 55,15 unequal: No Solution Exploring Operation: 29*26=754, Resulting Numbers: [754] 754,15 unequal: No Solution Exploring Operation: 29-26=3, Resulting Numbers: [3] 3,15 unequal: No Solution Moving to Node #0,3,1 Current State: 15:[29, 26], Operations: ['63-41=22', '4+22=26'] Exploring Operation: 29+26=55, Resulting Numbers: [55] 55,15 unequal: No Solution Exploring Operation: 29*26=754, Resulting Numbers: [754] 754,15 unequal: No Solution Exploring Operation: 29-26=3, Resulting Numbers: [3] 3,15 unequal: No Solution Moving to Node #0,4,0 Current State: 15:[41, 30], Operations: ['63-29=34', '34-4=30'] Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 41+30=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 41*30=1230, Resulting Numbers: [1230] 1230,15 unequal: No Solution Moving to Node #0,0,0 Current State: 15:[37, 34], Operations: ['41-4=37', '63-29=34'] Exploring Operation: 37+34=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 37-34=3, Resulting Numbers: [3] 3,15 unequal: No Solution Exploring Operation: 37*34=1258, Resulting Numbers: [1258] 1258,15 unequal: No Solution Moving to Node #0,4,1 Current State: 15:[34, 37], Operations: ['63-29=34', '41-4=37'] Exploring Operation: 34+37=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 34*37=1258, Resulting Numbers: [1258] 1258,15 unequal: No Solution Exploring Operation: 37-34=3, Resulting Numbers: [3] 3,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[41, 30], Operations: ['63-4=59', '59-29=30'] Exploring Operation: 41+30=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 41*30=1230, Resulting Numbers: [1230] 1230,15 unequal: No Solution Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,15 unequal: No Solution Moving to Node #0,1,3 Current State: 15:[59, 12], Operations: ['63-4=59', '41-29=12'] Exploring Operation: 59*12=708, Resulting Numbers: [708] 708,15 unequal: No Solution Exploring Operation: 59+12=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 59-12=47, Resulting Numbers: [47] 47,15 unequal: No Solution Moving to Node #0,4,3 Current State: 15:[41, 38], Operations: ['63-29=34', '4+34=38'] Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,15 unequal: No Solution Exploring Operation: 41+38=79, Resulting Numbers: [79] 79,15 unequal: No Solution Exploring Operation: 41*38=1558, Resulting Numbers: [1558] 1558,15 unequal: No Solution Moving to Node #0,4,4 Current State: 15:[34, 45], Operations: ['63-29=34', '41+4=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,15 unequal: No Solution Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 34*45=1530, Resulting Numbers: [1530] 1530,15 unequal: No Solution Moving to Node #0,0,1 Current State: 15:[63, 8], Operations: ['41-4=37', '37-29=8'] Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,15 unequal: No Solution Exploring Operation: 63*8=504, Resulting Numbers: [504] 504,15 unequal: No Solution Moving to Node #0,1,4 Current State: 15:[29, 100], Operations: ['63-4=59', '41+59=100'] Exploring Operation: 29*100=2900, Resulting Numbers: [2900] 2900,15 unequal: No Solution Exploring Operation: 29+100=129, Resulting Numbers: [129] 129,15 unequal: No Solution Exploring Operation: 100-29=71, Resulting Numbers: [71] 71,15 unequal: No Solution Moving to Node #0,0,4 Current State: 15:[37, 92], Operations: ['41-4=37', '63+29=92'] Exploring Operation: 37+92=129, Resulting Numbers: [129] 129,15 unequal: No Solution Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,15 unequal: No Solution Exploring Operation: 37*92=3404, Resulting Numbers: [3404] 3404,15 unequal: No Solution Moving to Node #0,0,2 Current State: 15:[29, 100], Operations: ['41-4=37', '63+37=100'] Exploring Operation: 100-29=71, Resulting Numbers: [71] 71,15 unequal: No Solution Exploring Operation: 29+100=129, Resulting Numbers: [129] 129,15 unequal: No Solution Exploring Operation: 29*100=2900, Resulting Numbers: [2900] 2900,15 unequal: No Solution Moving to Node #0,1,1 Current State: 15:[59, 70], Operations: ['63-4=59', '41+29=70'] Exploring Operation: 70-59=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 59+70=129, Resulting Numbers: [129] 129,15 unequal: No Solution Exploring Operation: 59*70=4130, Resulting Numbers: [4130] 4130,15 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 31, 57, 63, 28 ]
53
[ "31+57=88", "63-28=35", "88-35=53" ]
Current State: 53:[31, 57, 63, 28], Operations: [] Exploring Operation: 31+57=88, Resulting Numbers: [63, 28, 88] Generated Node #2: [63, 28, 88] from Operation: 31+57=88 Current State: 53:[63, 28, 88], Operations: ['31+57=88'] Exploring Operation: 63-28=35, Resulting Numbers: [88, 35] Generated Node #3: [88, 35] from Operation: 63-28=35 Current State: 53:[88, 35], Operations: ['31+57=88', '63-28=35'] Exploring Operation: 88-35=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[31, 57, 63, 28], Operations: [] Exploring Operation: 63-28=35, Resulting Numbers: [31, 57, 35] Generated Node #0,0: 53:[31, 57, 35] Operation: 63-28=35 Exploring Operation: 57-31=26, Resulting Numbers: [63, 28, 26] Generated Node #0,1: 53:[63, 28, 26] Operation: 57-31=26 Exploring Operation: 63-31=32, Resulting Numbers: [57, 28, 32] Generated Node #0,2: 53:[57, 28, 32] Operation: 63-31=32 Exploring Operation: 31+28=59, Resulting Numbers: [57, 63, 59] Generated Node #0,3: 53:[57, 63, 59] Operation: 31+28=59 Exploring Operation: 57-28=29, Resulting Numbers: [31, 63, 29] Generated Node #0,4: 53:[31, 63, 29] Operation: 57-28=29 Moving to Node #0,3 Current State: 53:[57, 63, 59], Operations: ['31+28=59'] Exploring Operation: 59-57=2, Resulting Numbers: [63, 2] Generated Node #0,3,0: 53:[63, 2] Operation: 59-57=2 Exploring Operation: 57+63=120, Resulting Numbers: [59, 120] Generated Node #0,3,1: 53:[59, 120] Operation: 57+63=120 Exploring Operation: 57+59=116, Resulting Numbers: [63, 116] Generated Node #0,3,2: 53:[63, 116] Operation: 57+59=116 Exploring Operation: 63-57=6, Resulting Numbers: [59, 6] Generated Node #0,3,3: 53:[59, 6] Operation: 63-57=6 Exploring Operation: 63-59=4, Resulting Numbers: [57, 4] Generated Node #0,3,4: 53:[57, 4] Operation: 63-59=4 Moving to Node #0,0 Current State: 53:[31, 57, 35], Operations: ['63-28=35'] Exploring Operation: 31+35=66, Resulting Numbers: [57, 66] Generated Node #0,0,0: 53:[57, 66] Operation: 31+35=66 Exploring Operation: 31+57=88, Resulting Numbers: [35, 88] Generated Node #0,0,1: 53:[35, 88] Operation: 31+57=88 Exploring Operation: 35-31=4, Resulting Numbers: [57, 4] Generated Node #0,0,2: 53:[57, 4] Operation: 35-31=4 Exploring Operation: 57-31=26, Resulting Numbers: [35, 26] Generated Node #0,0,3: 53:[35, 26] Operation: 57-31=26 Exploring Operation: 57-35=22, Resulting Numbers: [31, 22] Generated Node #0,0,4: 53:[31, 22] Operation: 57-35=22 Moving to Node #0,2 Current State: 53:[57, 28, 32], Operations: ['63-31=32'] Exploring Operation: 32-28=4, Resulting Numbers: [57, 4] Generated Node #0,2,0: 53:[57, 4] Operation: 32-28=4 Exploring Operation: 28+32=60, Resulting Numbers: [57, 60] Generated Node #0,2,1: 53:[57, 60] Operation: 28+32=60 Exploring Operation: 57-28=29, Resulting Numbers: [32, 29] Generated Node #0,2,2: 53:[32, 29] Operation: 57-28=29 Exploring Operation: 57-32=25, Resulting Numbers: [28, 25] Generated Node #0,2,3: 53:[28, 25] Operation: 57-32=25 Exploring Operation: 57+28=85, Resulting Numbers: [32, 85] Generated Node #0,2,4: 53:[32, 85] Operation: 57+28=85 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 53:[57, 60], Operations: ['63-31=32', '28+32=60'] Exploring Operation: 60-57=3, Resulting Numbers: [3] 3,53 unequal: No Solution Exploring Operation: 57*60=3420, Resulting Numbers: [3420] 3420,53 unequal: No Solution Exploring Operation: 57+60=117, Resulting Numbers: [117] 117,53 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:[32, 29], Operations: ['63-31=32', '57-28=29'] Exploring Operation: 32+29=61, Resulting Numbers: [61] 61,53 unequal: No Solution Exploring Operation: 32*29=928, Resulting Numbers: [928] 928,53 unequal: No Solution Exploring Operation: 32-29=3, Resulting Numbers: [3] 3,53 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:[57, 4], Operations: ['63-31=32', '32-28=4'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Moving to Node #0 Current State: 53:[31, 57, 63, 28], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [57, 28, 32] Generated Node #0,2: 53:[57, 28, 32] Operation: 63-31=32 Moving to Node #0,2 Current State: 53:[57, 28, 32], Operations: ['63-31=32'] Exploring Operation: 32-28=4, Resulting Numbers: [57, 4] Generated Node #0,2,0: 53:[57, 4] Operation: 32-28=4 Moving to Node #0,2,0 Current State: 53:[57, 4], Operations: ['63-31=32', '32-28=4'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_5
sum_heuristic
[ 18, 35, 9, 3 ]
26
[ "18+35=53", "9*3=27", "53-27=26" ]
Current State: 26:[18, 35, 9, 3], Operations: [] Exploring Operation: 18+35=53, Resulting Numbers: [9, 3, 53] Generated Node #2: [9, 3, 53] from Operation: 18+35=53 Current State: 26:[9, 3, 53], Operations: ['18+35=53'] Exploring Operation: 9*3=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 9*3=27 Current State: 26:[53, 27], Operations: ['18+35=53', '9*3=27'] Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[18, 35, 9, 3], Operations: [] Exploring Operation: 35-18=17, Resulting Numbers: [9, 3, 17] Generated Node #0,0: 26:[9, 3, 17] Operation: 35-18=17 Exploring Operation: 35-9=26, Resulting Numbers: [18, 3, 26] Generated Node #0,1: 26:[18, 3, 26] Operation: 35-9=26 Exploring Operation: 18/9=2, Resulting Numbers: [35, 3, 2] Generated Node #0,2: 26:[35, 3, 2] Operation: 18/9=2 Moving to Node #0,1 Current State: 26:[18, 3, 26], Operations: ['35-9=26'] Exploring Operation: 18-3=15, Resulting Numbers: [26, 15] Generated Node #0,1,0: 26:[26, 15] Operation: 18-3=15 Exploring Operation: 18/3=6, Resulting Numbers: [26, 6] Generated Node #0,1,1: 26:[26, 6] Operation: 18/3=6 Exploring Operation: 18+3=21, Resulting Numbers: [26, 21] Generated Node #0,1,2: 26:[26, 21] Operation: 18+3=21 Moving to Node #0,0 Current State: 26:[9, 3, 17], Operations: ['35-18=17'] Exploring Operation: 9*3=27, Resulting Numbers: [17, 27] Generated Node #0,0,0: 26:[17, 27] Operation: 9*3=27 Exploring Operation: 9+3=12, Resulting Numbers: [17, 12] Generated Node #0,0,1: 26:[17, 12] Operation: 9+3=12 Exploring Operation: 9+17=26, Resulting Numbers: [3, 26] Generated Node #0,0,2: 26:[3, 26] Operation: 9+17=26 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 26:[3, 26], Operations: ['35-18=17', '9+17=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,26 unequal: No Solution Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,26 unequal: No Solution Exploring Operation: 3+26=29, Resulting Numbers: [29] 29,26 unequal: No Solution No 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: 26:[17, 27], Operations: ['35-18=17', '9*3=27'] Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,26 unequal: No Solution Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,26 unequal: No Solution Exploring Operation: 17*27=459, Resulting Numbers: [459] 459,26 unequal: No Solution No 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: 26:[17, 12], Operations: ['35-18=17', '9+3=12'] Exploring Operation: 17*12=204, Resulting Numbers: [204] 204,26 unequal: No Solution Exploring Operation: 17-12=5, Resulting Numbers: [5] 5,26 unequal: No Solution Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,26 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: 26:[35, 3, 2], Operations: ['18/9=2'] Exploring Operation: 35-2=33, Resulting Numbers: [3, 33] Generated Node #0,2,0: 26:[3, 33] Operation: 35-2=33 Exploring Operation: 3-2=1, Resulting Numbers: [35, 1] Generated Node #0,2,1: 26:[35, 1] Operation: 3-2=1 Exploring Operation: 35-3=32, Resulting Numbers: [2, 32] Generated Node #0,2,2: 26:[2, 32] Operation: 35-3=32 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 26:[2, 32], Operations: ['18/9=2', '35-3=32'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,26 unequal: No Solution Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,26 unequal: No Solution No 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: 26:[3, 33], Operations: ['18/9=2', '35-2=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,26 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,26 unequal: No Solution Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,26 unequal: No Solution No 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: 26:[35, 1], Operations: ['18/9=2', '3-2=1'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,26 unequal: No Solution Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,26 unequal: No Solution Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,26 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: 26:[26, 15], Operations: ['35-9=26', '18-3=15'] Exploring Operation: 26-15=11, Resulting Numbers: [11] 11,26 unequal: No Solution Exploring Operation: 26*15=390, Resulting Numbers: [390] 390,26 unequal: No Solution Exploring Operation: 26+15=41, Resulting Numbers: [41] 41,26 unequal: No Solution Moving to Node #0,1,1 Current State: 26:[26, 6], Operations: ['35-9=26', '18/3=6'] Exploring Operation: 26*6=156, Resulting Numbers: [156] 156,26 unequal: No Solution Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,26 unequal: No Solution Exploring Operation: 26+6=32, Resulting Numbers: [32] 32,26 unequal: No Solution Moving to Node #0,1,2 Current State: 26:[26, 21], Operations: ['35-9=26', '18+3=21'] Exploring Operation: 26-21=5, Resulting Numbers: [5] 5,26 unequal: No Solution Exploring Operation: 26+21=47, Resulting Numbers: [47] 47,26 unequal: No Solution Exploring Operation: 26*21=546, Resulting Numbers: [546] 546,26 unequal: No Solution No solution found.
0
hs_3
sum_heuristic