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
[ 60, 27, 59, 41 ]
40
[ "59-41=18", "60*18=1080", "1080/27=40" ]
Current State: 40:[60, 27, 59, 41], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [60, 27, 18] Generated Node #2: [60, 27, 18] from Operation: 59-41=18 Current State: 40:[60, 27, 18], Operations: ['59-41=18'] Exploring Operation: 60*18=1080, Resulting Numbers: [27, 1080] Generated Node #3: [27, 1080] from Operation: 60*18=1080 Current State: 40:[27, 1080], Operations: ['59-41=18', '60*18=1080'] Exploring Operation: 1080/27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[60, 27, 59, 41], Operations: [] Exploring Operation: 60-59=1, Resulting Numbers: [27, 41, 1] Generated Node #0,0: 40:[27, 41, 1] Operation: 60-59=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 40:[27, 41, 1], Operations: ['60-59=1'] Exploring Operation: 41-27=14, Resulting Numbers: [1, 14] Generated Node #0,0,0: 40:[1, 14] Operation: 41-27=14 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 40:[1, 14], Operations: ['60-59=1', '41-27=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 98, 46, 30, 56 ]
58
[ "98+46=144", "30+56=86", "144-86=58" ]
Current State: 58:[98, 46, 30, 56], Operations: [] Exploring Operation: 98+46=144, Resulting Numbers: [30, 56, 144] Generated Node #2: [30, 56, 144] from Operation: 98+46=144 Current State: 58:[30, 56, 144], Operations: ['98+46=144'] Exploring Operation: 30+56=86, Resulting Numbers: [144, 86] Generated Node #3: [144, 86] from Operation: 30+56=86 Current State: 58:[144, 86], Operations: ['98+46=144', '30+56=86'] Exploring Operation: 144-86=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[98, 46, 30, 56], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [98, 30, 10] Generated Node #0,0: 58:[98, 30, 10] Operation: 56-46=10 Exploring Operation: 98-30=68, Resulting Numbers: [46, 56, 68] Generated Node #0,1: 58:[46, 56, 68] Operation: 98-30=68 Exploring Operation: 98-56=42, Resulting Numbers: [46, 30, 42] Generated Node #0,2: 58:[46, 30, 42] Operation: 98-56=42 Exploring Operation: 98-46=52, Resulting Numbers: [30, 56, 52] Generated Node #0,3: 58:[30, 56, 52] Operation: 98-46=52 Moving to Node #0,3 Current State: 58:[30, 56, 52], Operations: ['98-46=52'] Exploring Operation: 56-52=4, Resulting Numbers: [30, 4] Generated Node #0,3,0: 58:[30, 4] Operation: 56-52=4 Exploring Operation: 30+52=82, Resulting Numbers: [56, 82] Generated Node #0,3,1: 58:[56, 82] Operation: 30+52=82 Exploring Operation: 56-30=26, Resulting Numbers: [52, 26] Generated Node #0,3,2: 58:[52, 26] Operation: 56-30=26 Exploring Operation: 52-30=22, Resulting Numbers: [56, 22] Generated Node #0,3,3: 58:[56, 22] Operation: 52-30=22 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 58:[30, 4], Operations: ['98-46=52', '56-52=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,58 unequal: No Solution Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,58 unequal: No Solution Exploring Operation: 30*4=120, Resulting Numbers: [120] 120,58 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:[52, 26], Operations: ['98-46=52', '56-30=26'] Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,58 unequal: No Solution Exploring Operation: 52+26=78, Resulting Numbers: [78] 78,58 unequal: No Solution Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,58 unequal: No Solution Exploring Operation: 52*26=1352, Resulting Numbers: [1352] 1352,58 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:[56, 22], Operations: ['98-46=52', '52-30=22'] Exploring Operation: 56*22=1232, Resulting Numbers: [1232] 1232,58 unequal: No Solution Exploring Operation: 56+22=78, Resulting Numbers: [78] 78,58 unequal: No Solution Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,58 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 #0,3,1 Current State: 58:[56, 82], Operations: ['98-46=52', '30+52=82'] Exploring Operation: 82-56=26, Resulting Numbers: [26] 26,58 unequal: No Solution Exploring Operation: 56*82=4592, Resulting Numbers: [4592] 4592,58 unequal: No Solution Exploring Operation: 56+82=138, Resulting Numbers: [138] 138,58 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:[46, 56, 68], Operations: ['98-30=68'] Exploring Operation: 56-46=10, Resulting Numbers: [68, 10] Generated Node #0,1,0: 58:[68, 10] Operation: 56-46=10 Exploring Operation: 46+56=102, Resulting Numbers: [68, 102] Generated Node #0,1,1: 58:[68, 102] Operation: 46+56=102 Exploring Operation: 68-56=12, Resulting Numbers: [46, 12] Generated Node #0,1,2: 58:[46, 12] Operation: 68-56=12 Exploring Operation: 68-46=22, Resulting Numbers: [56, 22] Generated Node #0,1,3: 58:[56, 22] Operation: 68-46=22 Moving to Node #0,2 Current State: 58:[46, 30, 42], Operations: ['98-56=42'] Exploring Operation: 42-30=12, Resulting Numbers: [46, 12] Generated Node #0,2,0: 58:[46, 12] Operation: 42-30=12 Exploring Operation: 30+42=72, Resulting Numbers: [46, 72] Generated Node #0,2,1: 58:[46, 72] Operation: 30+42=72 Exploring Operation: 46-30=16, Resulting Numbers: [42, 16] Generated Node #0,2,2: 58:[42, 16] Operation: 46-30=16 Exploring Operation: 46-42=4, Resulting Numbers: [30, 4] Generated Node #0,2,3: 58:[30, 4] Operation: 46-42=4 Moving to Node #0,0 Current State: 58:[98, 30, 10], Operations: ['56-46=10'] Exploring Operation: 98-30=68, Resulting Numbers: [10, 68] Generated Node #0,0,0: 58:[10, 68] Operation: 98-30=68 Exploring Operation: 30/10=3, Resulting Numbers: [98, 3] Generated Node #0,0,1: 58:[98, 3] Operation: 30/10=3 Exploring Operation: 98-10=88, Resulting Numbers: [30, 88] Generated Node #0,0,2: 58:[30, 88] Operation: 98-10=88 Exploring Operation: 30-10=20, Resulting Numbers: [98, 20] Generated Node #0,0,3: 58:[98, 20] Operation: 30-10=20 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 58:[10, 68], Operations: ['56-46=10', '98-30=68'] Exploring Operation: 10*68=680, Resulting Numbers: [680] 680,58 unequal: No Solution Exploring Operation: 10+68=78, Resulting Numbers: [78] 78,58 unequal: No Solution Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[98, 46, 30, 56], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [98, 30, 10] Generated Node #0,0: 58:[98, 30, 10] Operation: 56-46=10 Moving to Node #0,0 Current State: 58:[98, 30, 10], Operations: ['56-46=10'] Exploring Operation: 98-30=68, Resulting Numbers: [10, 68] Generated Node #0,0,0: 58:[10, 68] Operation: 98-30=68 Moving to Node #0,0,0 Current State: 58:[10, 68], Operations: ['56-46=10', '98-30=68'] Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.965278
hs_4
mult_heuristic
[ 53, 5, 7, 40 ]
91
[ "53+5=58", "40-7=33", "58+33=91" ]
Current State: 91:[53, 5, 7, 40], Operations: [] Exploring Operation: 53+5=58, Resulting Numbers: [7, 40, 58] Generated Node #2: [7, 40, 58] from Operation: 53+5=58 Current State: 91:[7, 40, 58], Operations: ['53+5=58'] Exploring Operation: 40-7=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 40-7=33 Current State: 91:[58, 33], Operations: ['53+5=58', '40-7=33'] Exploring Operation: 58+33=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[53, 5, 7, 40], Operations: [] Exploring Operation: 53-40=13, Resulting Numbers: [5, 7, 13] Generated Node #0,0: 91:[5, 7, 13] Operation: 53-40=13 Exploring Operation: 53+40=93, Resulting Numbers: [5, 7, 93] Generated Node #0,1: 91:[5, 7, 93] Operation: 53+40=93 Exploring Operation: 40/5=8, Resulting Numbers: [53, 7, 8] Generated Node #0,2: 91:[53, 7, 8] Operation: 40/5=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[5, 7, 13], Operations: ['53-40=13'] Exploring Operation: 5+7=12, Resulting Numbers: [13, 12] Generated Node #0,0,0: 91:[13, 12] Operation: 5+7=12 Exploring Operation: 13-5=8, Resulting Numbers: [7, 8] Generated Node #0,0,1: 91:[7, 8] Operation: 13-5=8 Exploring Operation: 7*13=91, Resulting Numbers: [5, 91] Generated Node #0,0,2: 91:[5, 91] Operation: 7*13=91 Moving to Node #0,0,0 Current State: 91:[13, 12], Operations: ['53-40=13', '5+7=12'] Exploring Operation: 13+12=25, Resulting Numbers: [25] 25,91 unequal: No Solution Exploring Operation: 13-12=1, Resulting Numbers: [1] 1,91 unequal: No Solution Exploring Operation: 13*12=156, Resulting Numbers: [156] 156,91 unequal: No Solution Moving to Node #0,0,1 Current State: 91:[7, 8], Operations: ['53-40=13', '13-5=8'] Exploring Operation: 7*8=56, Resulting Numbers: [56] 56,91 unequal: No Solution Exploring Operation: 8-7=1, Resulting Numbers: [1] 1,91 unequal: No Solution Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,91 unequal: No Solution Moving to Node #0,0,2 Current State: 91:[5, 91], Operations: ['53-40=13', '7*13=91'] Exploring Operation: 5+91=96, Resulting Numbers: [96] 96,91 unequal: No Solution Exploring Operation: 5*91=455, Resulting Numbers: [455] 455,91 unequal: No Solution Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[5, 7, 93], Operations: ['53+40=93'] Exploring Operation: 93-5=88, Resulting Numbers: [7, 88] Generated Node #0,1,0: 91:[7, 88] Operation: 93-5=88 Exploring Operation: 5+7=12, Resulting Numbers: [93, 12] Generated Node #0,1,1: 91:[93, 12] Operation: 5+7=12 Exploring Operation: 7-5=2, Resulting Numbers: [93, 2] Generated Node #0,1,2: 91:[93, 2] Operation: 7-5=2 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 91:[7, 88], Operations: ['53+40=93', '93-5=88'] Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,91 unequal: No Solution Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,91 unequal: No Solution Exploring Operation: 7*88=616, Resulting Numbers: [616] 616,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 91:[93, 12], Operations: ['53+40=93', '5+7=12'] Exploring Operation: 93-12=81, Resulting Numbers: [81] 81,91 unequal: No Solution Exploring Operation: 93+12=105, Resulting Numbers: [105] 105,91 unequal: No Solution Exploring Operation: 93*12=1116, Resulting Numbers: [1116] 1116,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 91:[93, 2], Operations: ['53+40=93', '7-5=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[53, 5, 7, 40], Operations: [] Exploring Operation: 53+40=93, Resulting Numbers: [5, 7, 93] Generated Node #0,1: 91:[5, 7, 93] Operation: 53+40=93 Moving to Node #0,1 Current State: 91:[5, 7, 93], Operations: ['53+40=93'] Exploring Operation: 7-5=2, Resulting Numbers: [93, 2] Generated Node #0,1,2: 91:[93, 2] Operation: 7-5=2 Moving to Node #0,1,2 Current State: 91:[93, 2], Operations: ['53+40=93', '7-5=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.974826
hs_3
mult_heuristic
[ 40, 50, 38, 19 ]
44
[ "40-38=2", "50/2=25", "19+25=44" ]
Current State: 44:[40, 50, 38, 19], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [50, 19, 2] Generated Node #2: [50, 19, 2] from Operation: 40-38=2 Current State: 44:[50, 19, 2], Operations: ['40-38=2'] Exploring Operation: 50/2=25, Resulting Numbers: [19, 25] Generated Node #3: [19, 25] from Operation: 50/2=25 Current State: 44:[19, 25], Operations: ['40-38=2', '50/2=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[40, 50, 38, 19], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [50, 19, 2] Generated Node #0,0: 44:[50, 19, 2] Operation: 40-38=2 Exploring Operation: 50-40=10, Resulting Numbers: [38, 19, 10] Generated Node #0,1: 44:[38, 19, 10] Operation: 50-40=10 Exploring Operation: 50-38=12, Resulting Numbers: [40, 19, 12] Generated Node #0,2: 44:[40, 19, 12] Operation: 50-38=12 Start Sub Search at level 1: Moving to Node #0,2 Current State: 44:[40, 19, 12], Operations: ['50-38=12'] Exploring Operation: 40-19=21, Resulting Numbers: [12, 21] Generated Node #0,2,0: 44:[12, 21] Operation: 40-19=21 Exploring Operation: 19-12=7, Resulting Numbers: [40, 7] Generated Node #0,2,1: 44:[40, 7] Operation: 19-12=7 Exploring Operation: 40-12=28, Resulting Numbers: [19, 28] Generated Node #0,2,2: 44:[19, 28] Operation: 40-12=28 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 44:[12, 21], Operations: ['50-38=12', '40-19=21'] Exploring Operation: 12*21=252, Resulting Numbers: [252] 252,44 unequal: No Solution Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,44 unequal: No Solution Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,44 unequal: No Solution No 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: 44:[40, 7], Operations: ['50-38=12', '19-12=7'] Exploring Operation: 40*7=280, Resulting Numbers: [280] 280,44 unequal: No Solution Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,44 unequal: No Solution Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,44 unequal: No Solution No 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: 44:[19, 28], Operations: ['50-38=12', '40-12=28'] Exploring Operation: 28-19=9, Resulting Numbers: [9] 9,44 unequal: No Solution Exploring Operation: 19+28=47, Resulting Numbers: [47] 47,44 unequal: No Solution Exploring Operation: 19*28=532, Resulting Numbers: [532] 532,44 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: 44:[50, 19, 2], Operations: ['40-38=2'] Exploring Operation: 19+2=21, Resulting Numbers: [50, 21] Generated Node #0,0,0: 44:[50, 21] Operation: 19+2=21 Exploring Operation: 50/2=25, Resulting Numbers: [19, 25] Generated Node #0,0,1: 44:[19, 25] Operation: 50/2=25 Exploring Operation: 50-2=48, Resulting Numbers: [19, 48] Generated Node #0,0,2: 44:[19, 48] Operation: 50-2=48 Moving to Node #0,0,1 Current State: 44:[19, 25], Operations: ['40-38=2', '50/2=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[40, 50, 38, 19], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [50, 19, 2] Generated Node #0,0: 44:[50, 19, 2] Operation: 40-38=2 Moving to Node #0,0 Current State: 44:[50, 19, 2], Operations: ['40-38=2'] Exploring Operation: 50/2=25, Resulting Numbers: [19, 25] Generated Node #0,0,1: 44:[19, 25] Operation: 50/2=25 Moving to Node #0,0,1 Current State: 44:[19, 25], Operations: ['40-38=2', '50/2=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Exit Sub Search at level 1
0.980035
hs_3
mult_heuristic
[ 65, 18, 3, 97 ]
44
[ "65-18=47", "3*47=141", "141-97=44" ]
Current State: 44:[65, 18, 3, 97], Operations: [] Exploring Operation: 65-18=47, Resulting Numbers: [3, 97, 47] Generated Node #2: [3, 97, 47] from Operation: 65-18=47 Current State: 44:[3, 97, 47], Operations: ['65-18=47'] Exploring Operation: 3*47=141, Resulting Numbers: [97, 141] Generated Node #3: [97, 141] from Operation: 3*47=141 Current State: 44:[97, 141], Operations: ['65-18=47', '3*47=141'] Exploring Operation: 141-97=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[65, 18, 3, 97], Operations: [] Exploring Operation: 97-65=32, Resulting Numbers: [18, 3, 32] Generated Node #0,0: 44:[18, 3, 32] Operation: 97-65=32 Exploring Operation: 65-18=47, Resulting Numbers: [3, 97, 47] Generated Node #0,1: 44:[3, 97, 47] Operation: 65-18=47 Exploring Operation: 18+3=21, Resulting Numbers: [65, 97, 21] Generated Node #0,2: 44:[65, 97, 21] Operation: 18+3=21 Exploring Operation: 97-18=79, Resulting Numbers: [65, 3, 79] Generated Node #0,3: 44:[65, 3, 79] Operation: 97-18=79 Exploring Operation: 65-3=62, Resulting Numbers: [18, 97, 62] Generated Node #0,4: 44:[18, 97, 62] Operation: 65-3=62 Start Sub Search at level 1: Moving to Node #0,0 Current State: 44:[18, 3, 32], Operations: ['97-65=32'] Exploring Operation: 18+32=50, Resulting Numbers: [3, 50] Generated Node #0,0,0: 44:[3, 50] Operation: 18+32=50 Exploring Operation: 18+3=21, Resulting Numbers: [32, 21] Generated Node #0,0,1: 44:[32, 21] Operation: 18+3=21 Exploring Operation: 18/3=6, Resulting Numbers: [32, 6] Generated Node #0,0,2: 44:[32, 6] Operation: 18/3=6 Exploring Operation: 32-18=14, Resulting Numbers: [3, 14] Generated Node #0,0,3: 44:[3, 14] Operation: 32-18=14 Exploring Operation: 32-3=29, Resulting Numbers: [18, 29] Generated Node #0,0,4: 44:[18, 29] Operation: 32-3=29 Moving to Node #0,0,3 Current State: 44:[3, 14], Operations: ['97-65=32', '32-18=14'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,44 unequal: No Solution Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,44 unequal: No Solution Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,44 unequal: No Solution Moving to Node #0,0,0 Current State: 44:[3, 50], Operations: ['97-65=32', '18+32=50'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,44 unequal: No Solution Exploring Operation: 3*50=150, Resulting Numbers: [150] 150,44 unequal: No Solution Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,44 unequal: No Solution Moving to Node #0,0,1 Current State: 44:[32, 21], Operations: ['97-65=32', '18+3=21'] Exploring Operation: 32+21=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 32*21=672, Resulting Numbers: [672] 672,44 unequal: No Solution Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,44 unequal: No Solution Moving to Node #0,0,4 Current State: 44:[18, 29], Operations: ['97-65=32', '32-3=29'] Exploring Operation: 18+29=47, Resulting Numbers: [47] 47,44 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 18*29=522, Resulting Numbers: [522] 522,44 unequal: No Solution Moving to Node #0,0,2 Current State: 44:[32, 6], Operations: ['97-65=32', '18/3=6'] Exploring Operation: 32*6=192, Resulting Numbers: [192] 192,44 unequal: No Solution Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,44 unequal: No Solution Exploring Operation: 32+6=38, Resulting Numbers: [38] 38,44 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:[3, 97, 47], Operations: ['65-18=47'] Exploring Operation: 3+47=50, Resulting Numbers: [97, 50] Generated Node #0,1,0: 44:[97, 50] Operation: 3+47=50 Exploring Operation: 3+97=100, Resulting Numbers: [47, 100] Generated Node #0,1,1: 44:[47, 100] Operation: 3+97=100 Exploring Operation: 97-47=50, Resulting Numbers: [3, 50] Generated Node #0,1,2: 44:[3, 50] Operation: 97-47=50 Exploring Operation: 47-3=44, Resulting Numbers: [97, 44] Generated Node #0,1,3: 44:[97, 44] Operation: 47-3=44 Exploring Operation: 97-3=94, Resulting Numbers: [47, 94] Generated Node #0,1,4: 44:[47, 94] Operation: 97-3=94 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 44:[3, 50], Operations: ['65-18=47', '97-47=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,44 unequal: No Solution Exploring Operation: 3*50=150, Resulting Numbers: [150] 150,44 unequal: No Solution No 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: 44:[97, 44], Operations: ['65-18=47', '47-3=44'] Exploring Operation: 97-44=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 97+44=141, Resulting Numbers: [141] 141,44 unequal: No Solution Exploring Operation: 97*44=4268, Resulting Numbers: [4268] 4268,44 unequal: No Solution No 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: 44:[47, 94], Operations: ['65-18=47', '97-3=94'] Exploring Operation: 47*94=4418, Resulting Numbers: [4418] 4418,44 unequal: No Solution Exploring Operation: 94-47=47, Resulting Numbers: [47] 47,44 unequal: No Solution Exploring Operation: 94/47=2, Resulting Numbers: [2] 2,44 unequal: No Solution Exploring Operation: 47+94=141, Resulting Numbers: [141] 141,44 unequal: No Solution No 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: 44:[97, 50], Operations: ['65-18=47', '3+47=50'] Exploring Operation: 97-50=47, Resulting Numbers: [47] 47,44 unequal: No Solution Exploring Operation: 97*50=4850, Resulting Numbers: [4850] 4850,44 unequal: No Solution Exploring Operation: 97+50=147, Resulting Numbers: [147] 147,44 unequal: No Solution No 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: 44:[47, 100], Operations: ['65-18=47', '3+97=100'] Exploring Operation: 47+100=147, Resulting Numbers: [147] 147,44 unequal: No Solution Exploring Operation: 47*100=4700, Resulting Numbers: [4700] 4700,44 unequal: No Solution Exploring Operation: 100-47=53, Resulting Numbers: [53] 53,44 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: 44:[65, 3, 79], Operations: ['97-18=79'] Exploring Operation: 79-3=76, Resulting Numbers: [65, 76] Generated Node #0,3,0: 44:[65, 76] Operation: 79-3=76 Exploring Operation: 79-65=14, Resulting Numbers: [3, 14] Generated Node #0,3,1: 44:[3, 14] Operation: 79-65=14 Exploring Operation: 65+3=68, Resulting Numbers: [79, 68] Generated Node #0,3,2: 44:[79, 68] Operation: 65+3=68 Exploring Operation: 65-3=62, Resulting Numbers: [79, 62] Generated Node #0,3,3: 44:[79, 62] Operation: 65-3=62 Exploring Operation: 3+79=82, Resulting Numbers: [65, 82] Generated Node #0,3,4: 44:[65, 82] Operation: 3+79=82 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 44:[3, 14], Operations: ['97-18=79', '79-65=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,44 unequal: No Solution Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,44 unequal: No Solution No 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: 44:[65, 76], Operations: ['97-18=79', '79-3=76'] Exploring Operation: 65+76=141, Resulting Numbers: [141] 141,44 unequal: No Solution Exploring Operation: 76-65=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 65*76=4940, Resulting Numbers: [4940] 4940,44 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 44:[79, 62], Operations: ['97-18=79', '65-3=62'] Exploring Operation: 79*62=4898, Resulting Numbers: [4898] 4898,44 unequal: No Solution Exploring Operation: 79-62=17, Resulting Numbers: [17] 17,44 unequal: No Solution Exploring Operation: 79+62=141, Resulting Numbers: [141] 141,44 unequal: No Solution No 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: 44:[79, 68], Operations: ['97-18=79', '65+3=68'] Exploring Operation: 79*68=5372, Resulting Numbers: [5372] 5372,44 unequal: No Solution Exploring Operation: 79-68=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 79+68=147, Resulting Numbers: [147] 147,44 unequal: No Solution No 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: 44:[65, 82], Operations: ['97-18=79', '3+79=82'] Exploring Operation: 65+82=147, Resulting Numbers: [147] 147,44 unequal: No Solution Exploring Operation: 82-65=17, Resulting Numbers: [17] 17,44 unequal: No Solution Exploring Operation: 65*82=5330, Resulting Numbers: [5330] 5330,44 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: 44:[65, 97, 21], Operations: ['18+3=21'] Exploring Operation: 97+21=118, Resulting Numbers: [65, 118] Generated Node #0,2,0: 44:[65, 118] Operation: 97+21=118 Exploring Operation: 65-21=44, Resulting Numbers: [97, 44] Generated Node #0,2,1: 44:[97, 44] Operation: 65-21=44 Exploring Operation: 65+21=86, Resulting Numbers: [97, 86] Generated Node #0,2,2: 44:[97, 86] Operation: 65+21=86 Exploring Operation: 97-21=76, Resulting Numbers: [65, 76] Generated Node #0,2,3: 44:[65, 76] Operation: 97-21=76 Exploring Operation: 97-65=32, Resulting Numbers: [21, 32] Generated Node #0,2,4: 44:[21, 32] Operation: 97-65=32 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 44:[21, 32], Operations: ['18+3=21', '97-65=32'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 21*32=672, Resulting Numbers: [672] 672,44 unequal: No Solution Exploring Operation: 21+32=53, Resulting Numbers: [53] 53,44 unequal: No Solution No 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: 44:[97, 44], Operations: ['18+3=21', '65-21=44'] Exploring Operation: 97+44=141, Resulting Numbers: [141] 141,44 unequal: No Solution Exploring Operation: 97-44=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 97*44=4268, Resulting Numbers: [4268] 4268,44 unequal: No Solution No 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: 44:[65, 76], Operations: ['18+3=21', '97-21=76'] Exploring Operation: 76-65=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 65*76=4940, Resulting Numbers: [4940] 4940,44 unequal: No Solution Exploring Operation: 65+76=141, Resulting Numbers: [141] 141,44 unequal: No Solution No 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: 44:[65, 118], Operations: ['18+3=21', '97+21=118'] Exploring Operation: 65*118=7670, Resulting Numbers: [7670] 7670,44 unequal: No Solution Exploring Operation: 118-65=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 65+118=183, Resulting Numbers: [183] 183,44 unequal: No Solution No 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: 44:[97, 86], Operations: ['18+3=21', '65+21=86'] Exploring Operation: 97*86=8342, Resulting Numbers: [8342] 8342,44 unequal: No Solution Exploring Operation: 97+86=183, Resulting Numbers: [183] 183,44 unequal: No Solution Exploring Operation: 97-86=11, Resulting Numbers: [11] 11,44 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 44:[18, 97, 62], Operations: ['65-3=62'] Exploring Operation: 97-62=35, Resulting Numbers: [18, 35] Generated Node #0,4,0: 44:[18, 35] Operation: 97-62=35 Exploring Operation: 18+97=115, Resulting Numbers: [62, 115] Generated Node #0,4,1: 44:[62, 115] Operation: 18+97=115 Exploring Operation: 18+62=80, Resulting Numbers: [97, 80] Generated Node #0,4,2: 44:[97, 80] Operation: 18+62=80 Exploring Operation: 97-18=79, Resulting Numbers: [62, 79] Generated Node #0,4,3: 44:[62, 79] Operation: 97-18=79 Exploring Operation: 62-18=44, Resulting Numbers: [97, 44] Generated Node #0,4,4: 44:[97, 44] Operation: 62-18=44 Moving to Node #0,4,0 Current State: 44:[18, 35], Operations: ['65-3=62', '97-62=35'] Exploring Operation: 18*35=630, Resulting Numbers: [630] 630,44 unequal: No Solution Exploring Operation: 18+35=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,44 unequal: No Solution Moving to Node #0,4,4 Current State: 44:[97, 44], Operations: ['65-3=62', '62-18=44'] Exploring Operation: 97-44=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 97+44=141, Resulting Numbers: [141] 141,44 unequal: No Solution Exploring Operation: 97*44=4268, Resulting Numbers: [4268] 4268,44 unequal: No Solution Moving to Node #0,4,3 Current State: 44:[62, 79], Operations: ['65-3=62', '97-18=79'] Exploring Operation: 62*79=4898, Resulting Numbers: [4898] 4898,44 unequal: No Solution Exploring Operation: 62+79=141, Resulting Numbers: [141] 141,44 unequal: No Solution Exploring Operation: 79-62=17, Resulting Numbers: [17] 17,44 unequal: No Solution Moving to Node #0,4,1 Current State: 44:[62, 115], Operations: ['65-3=62', '18+97=115'] Exploring Operation: 62+115=177, Resulting Numbers: [177] 177,44 unequal: No Solution Exploring Operation: 115-62=53, Resulting Numbers: [53] 53,44 unequal: No Solution Exploring Operation: 62*115=7130, Resulting Numbers: [7130] 7130,44 unequal: No Solution Moving to Node #0,4,2 Current State: 44:[97, 80], Operations: ['65-3=62', '18+62=80'] Exploring Operation: 97+80=177, Resulting Numbers: [177] 177,44 unequal: No Solution Exploring Operation: 97*80=7760, Resulting Numbers: [7760] 7760,44 unequal: No Solution Exploring Operation: 97-80=17, Resulting Numbers: [17] 17,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 58, 78, 88, 23 ]
71
[ "58+78=136", "88-23=65", "136-65=71" ]
Current State: 71:[58, 78, 88, 23], Operations: [] Exploring Operation: 58+78=136, Resulting Numbers: [88, 23, 136] Generated Node #2: [88, 23, 136] from Operation: 58+78=136 Current State: 71:[88, 23, 136], Operations: ['58+78=136'] Exploring Operation: 88-23=65, Resulting Numbers: [136, 65] Generated Node #3: [136, 65] from Operation: 88-23=65 Current State: 71:[136, 65], Operations: ['58+78=136', '88-23=65'] Exploring Operation: 136-65=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[58, 78, 88, 23], Operations: [] Exploring Operation: 58-23=35, Resulting Numbers: [78, 88, 35] Generated Node #0,0: 71:[78, 88, 35] Operation: 58-23=35 Exploring Operation: 58+23=81, Resulting Numbers: [78, 88, 81] Generated Node #0,1: 71:[78, 88, 81] Operation: 58+23=81 Exploring Operation: 78-23=55, Resulting Numbers: [58, 88, 55] Generated Node #0,2: 71:[58, 88, 55] Operation: 78-23=55 Exploring Operation: 88-23=65, Resulting Numbers: [58, 78, 65] Generated Node #0,3: 71:[58, 78, 65] Operation: 88-23=65 Moving to Node #0,3 Current State: 71:[58, 78, 65], Operations: ['88-23=65'] Exploring Operation: 58+65=123, Resulting Numbers: [78, 123] Generated Node #0,3,0: 71:[78, 123] Operation: 58+65=123 Exploring Operation: 65-58=7, Resulting Numbers: [78, 7] Generated Node #0,3,1: 71:[78, 7] Operation: 65-58=7 Exploring Operation: 78-58=20, Resulting Numbers: [65, 20] Generated Node #0,3,2: 71:[65, 20] Operation: 78-58=20 Exploring Operation: 58+78=136, Resulting Numbers: [65, 136] Generated Node #0,3,3: 71:[65, 136] Operation: 58+78=136 Moving to Node #0,1 Current State: 71:[78, 88, 81], Operations: ['58+23=81'] Exploring Operation: 88-78=10, Resulting Numbers: [81, 10] Generated Node #0,1,0: 71:[81, 10] Operation: 88-78=10 Exploring Operation: 88-81=7, Resulting Numbers: [78, 7] Generated Node #0,1,1: 71:[78, 7] Operation: 88-81=7 Exploring Operation: 81-78=3, Resulting Numbers: [88, 3] Generated Node #0,1,2: 71:[88, 3] Operation: 81-78=3 Exploring Operation: 78+88=166, Resulting Numbers: [81, 166] Generated Node #0,1,3: 71:[81, 166] Operation: 78+88=166 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 71:[81, 10], Operations: ['58+23=81', '88-78=10'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Moving to Node #0 Current State: 71:[58, 78, 88, 23], Operations: [] Exploring Operation: 58+23=81, Resulting Numbers: [78, 88, 81] Generated Node #0,1: 71:[78, 88, 81] Operation: 58+23=81 Moving to Node #0,1 Current State: 71:[78, 88, 81], Operations: ['58+23=81'] Exploring Operation: 88-78=10, Resulting Numbers: [81, 10] Generated Node #0,1,0: 71:[81, 10] Operation: 88-78=10 Moving to Node #0,1,0 Current State: 71:[81, 10], Operations: ['58+23=81', '88-78=10'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
sum_heuristic
[ 78, 74, 84, 96 ]
90
[ "84-78=6", "96/6=16", "74+16=90" ]
Current State: 90:[78, 74, 84, 96], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [74, 96, 6] Generated Node #2: [74, 96, 6] from Operation: 84-78=6 Current State: 90:[74, 96, 6], Operations: ['84-78=6'] Exploring Operation: 96/6=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 96/6=16 Current State: 90:[74, 16], Operations: ['84-78=6', '96/6=16'] Exploring Operation: 74+16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[78, 74, 84, 96], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [84, 96, 4] Generated Node #0,0: 90:[84, 96, 4] Operation: 78-74=4 Exploring Operation: 84-74=10, Resulting Numbers: [78, 96, 10] Generated Node #0,1: 90:[78, 96, 10] Operation: 84-74=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 90:[84, 96, 4], Operations: ['78-74=4'] Exploring Operation: 84+4=88, Resulting Numbers: [96, 88] Generated Node #0,0,0: 90:[96, 88] Operation: 84+4=88 Exploring Operation: 96-84=12, Resulting Numbers: [4, 12] Generated Node #0,0,1: 90:[4, 12] Operation: 96-84=12 Moving to Node #0,0,1 Current State: 90:[4, 12], Operations: ['78-74=4', '96-84=12'] Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,90 unequal: No Solution Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,90 unequal: No Solution Moving to Node #0,0,0 Current State: 90:[96, 88], Operations: ['78-74=4', '84+4=88'] Exploring Operation: 96+88=184, Resulting Numbers: [184] 184,90 unequal: No Solution Exploring Operation: 96-88=8, Resulting Numbers: [8] 8,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 90:[78, 96, 10], Operations: ['84-74=10'] Exploring Operation: 96-78=18, Resulting Numbers: [10, 18] Generated Node #0,1,0: 90:[10, 18] Operation: 96-78=18 Exploring Operation: 78+10=88, Resulting Numbers: [96, 88] Generated Node #0,1,1: 90:[96, 88] Operation: 78+10=88 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 90:[10, 18], Operations: ['84-74=10', '96-78=18'] Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,90 unequal: No Solution Exploring Operation: 10+18=28, Resulting Numbers: [28] 28,90 unequal: No Solution No 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: 90:[96, 88], Operations: ['84-74=10', '78+10=88'] Exploring Operation: 96+88=184, Resulting Numbers: [184] 184,90 unequal: No Solution Exploring Operation: 96-88=8, Resulting Numbers: [8] 8,90 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
[ 4, 3, 17, 55 ]
39
[ "4-3=1", "55-17=38", "1+38=39" ]
Current State: 39:[4, 3, 17, 55], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [17, 55, 1] Generated Node #2: [17, 55, 1] from Operation: 4-3=1 Current State: 39:[17, 55, 1], Operations: ['4-3=1'] Exploring Operation: 55-17=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 55-17=38 Current State: 39:[1, 38], Operations: ['4-3=1', '55-17=38'] Exploring Operation: 1+38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[4, 3, 17, 55], Operations: [] Exploring Operation: 55-17=38, Resulting Numbers: [4, 3, 38] Generated Node #0,0: 39:[4, 3, 38] Operation: 55-17=38 Moving to Node #0,0 Current State: 39:[4, 3, 38], Operations: ['55-17=38'] Exploring Operation: 4*3=12, Resulting Numbers: [38, 12] Generated Node #0,0,0: 39:[38, 12] Operation: 4*3=12 Moving to Node #0,0,0 Current State: 39:[38, 12], Operations: ['55-17=38', '4*3=12'] Exploring Operation: 38+12=50, Resulting Numbers: [50] 50,39 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 90, 40, 98, 99 ]
94
[ "98-90=8", "40/8=5", "99-5=94" ]
Current State: 94:[90, 40, 98, 99], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [40, 99, 8] Generated Node #2: [40, 99, 8] from Operation: 98-90=8 Current State: 94:[40, 99, 8], Operations: ['98-90=8'] Exploring Operation: 40/8=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 40/8=5 Current State: 94:[99, 5], Operations: ['98-90=8', '40/8=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[90, 40, 98, 99], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [90, 40, 1] Generated Node #0,0: 94:[90, 40, 1] Operation: 99-98=1 Exploring Operation: 90-40=50, Resulting Numbers: [98, 99, 50] Generated Node #0,1: 94:[98, 99, 50] Operation: 90-40=50 Exploring Operation: 98-90=8, Resulting Numbers: [40, 99, 8] Generated Node #0,2: 94:[40, 99, 8] Operation: 98-90=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[90, 40, 1], Operations: ['99-98=1'] Exploring Operation: 90+1=91, Resulting Numbers: [40, 91] Generated Node #0,0,0: 94:[40, 91] Operation: 90+1=91 Exploring Operation: 90-40=50, Resulting Numbers: [1, 50] Generated Node #0,0,1: 94:[1, 50] Operation: 90-40=50 Exploring Operation: 40+1=41, Resulting Numbers: [90, 41] Generated Node #0,0,2: 94:[90, 41] Operation: 40+1=41 Moving to Node #0,0,1 Current State: 94:[1, 50], Operations: ['99-98=1', '90-40=50'] Exploring Operation: 1*50=50, Resulting Numbers: [50] 50,94 unequal: No Solution Exploring Operation: 50/1=50, Resulting Numbers: [50] 50,94 unequal: No Solution Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,94 unequal: No Solution Moving to Node #0,0,0 Current State: 94:[40, 91], Operations: ['99-98=1', '90+1=91'] Exploring Operation: 40+91=131, Resulting Numbers: [131] 131,94 unequal: No Solution Exploring Operation: 91-40=51, Resulting Numbers: [51] 51,94 unequal: No Solution Exploring Operation: 40*91=3640, Resulting Numbers: [3640] 3640,94 unequal: No Solution Moving to Node #0,0,2 Current State: 94:[90, 41], Operations: ['99-98=1', '40+1=41'] Exploring Operation: 90+41=131, Resulting Numbers: [131] 131,94 unequal: No Solution Exploring Operation: 90*41=3690, Resulting Numbers: [3690] 3690,94 unequal: No Solution Exploring Operation: 90-41=49, Resulting Numbers: [49] 49,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 94:[98, 99, 50], Operations: ['90-40=50'] Exploring Operation: 99-98=1, Resulting Numbers: [50, 1] Generated Node #0,1,0: 94:[50, 1] Operation: 99-98=1 Exploring Operation: 98-50=48, Resulting Numbers: [99, 48] Generated Node #0,1,1: 94:[99, 48] Operation: 98-50=48 Exploring Operation: 99-50=49, Resulting Numbers: [98, 49] Generated Node #0,1,2: 94:[98, 49] Operation: 99-50=49 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 94:[50, 1], Operations: ['90-40=50', '99-98=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,94 unequal: No Solution Exploring Operation: 50/1=50, Resulting Numbers: [50] 50,94 unequal: No Solution Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 94:[99, 48], Operations: ['90-40=50', '98-50=48'] Exploring Operation: 99+48=147, Resulting Numbers: [147] 147,94 unequal: No Solution Exploring Operation: 99*48=4752, Resulting Numbers: [4752] 4752,94 unequal: No Solution Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 94:[98, 49], Operations: ['90-40=50', '99-50=49'] Exploring Operation: 98/49=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 98+49=147, Resulting Numbers: [147] 147,94 unequal: No Solution Exploring Operation: 98-49=49, Resulting Numbers: [49] 49,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 94:[40, 99, 8], Operations: ['98-90=8'] Exploring Operation: 99-8=91, Resulting Numbers: [40, 91] Generated Node #0,2,0: 94:[40, 91] Operation: 99-8=91 Exploring Operation: 40/8=5, Resulting Numbers: [99, 5] Generated Node #0,2,1: 94:[99, 5] Operation: 40/8=5 Exploring Operation: 40+8=48, Resulting Numbers: [99, 48] Generated Node #0,2,2: 94:[99, 48] Operation: 40+8=48 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 94:[99, 48], Operations: ['98-90=8', '40+8=48'] Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,94 unequal: No Solution Exploring Operation: 99+48=147, Resulting Numbers: [147] 147,94 unequal: No Solution Exploring Operation: 99*48=4752, Resulting Numbers: [4752] 4752,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 94:[99, 5], Operations: ['98-90=8', '40/8=5'] Exploring Operation: 99+5=104, Resulting Numbers: [104] 104,94 unequal: No Solution Exploring Operation: 99*5=495, Resulting Numbers: [495] 495,94 unequal: No Solution Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[90, 40, 98, 99], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [40, 99, 8] Generated Node #0,2: 94:[40, 99, 8] Operation: 98-90=8 Moving to Node #0,2 Current State: 94:[40, 99, 8], Operations: ['98-90=8'] Exploring Operation: 40/8=5, Resulting Numbers: [99, 5] Generated Node #0,2,1: 94:[99, 5] Operation: 40/8=5 Moving to Node #0,2,1 Current State: 94:[99, 5], Operations: ['98-90=8', '40/8=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.965278
hs_3
sum_heuristic
[ 4, 84, 98, 28 ]
49
[ "84/4=21", "98-28=70", "70-21=49" ]
Current State: 49:[4, 84, 98, 28], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [98, 28, 21] Generated Node #2: [98, 28, 21] from Operation: 84/4=21 Current State: 49:[98, 28, 21], Operations: ['84/4=21'] Exploring Operation: 98-28=70, Resulting Numbers: [21, 70] Generated Node #3: [21, 70] from Operation: 98-28=70 Current State: 49:[21, 70], Operations: ['84/4=21', '98-28=70'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[4, 84, 98, 28], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [4, 98, 56] Generated Node #0,0: 49:[4, 98, 56] Operation: 84-28=56 Exploring Operation: 98-84=14, Resulting Numbers: [4, 28, 14] Generated Node #0,1: 49:[4, 28, 14] Operation: 98-84=14 Exploring Operation: 84/28=3, Resulting Numbers: [4, 98, 3] Generated Node #0,2: 49:[4, 98, 3] Operation: 84/28=3 Exploring Operation: 98-28=70, Resulting Numbers: [4, 84, 70] Generated Node #0,3: 49:[4, 84, 70] Operation: 98-28=70 Start Sub Search at level 1: Moving to Node #0,1 Current State: 49:[4, 28, 14], Operations: ['98-84=14'] Exploring Operation: 28-14=14, Resulting Numbers: [4, 14] Generated Node #0,1,0: 49:[4, 14] Operation: 28-14=14 Exploring Operation: 28/14=2, Resulting Numbers: [4, 2] Generated Node #0,1,1: 49:[4, 2] Operation: 28/14=2 Exploring Operation: 28/4=7, Resulting Numbers: [14, 7] Generated Node #0,1,2: 49:[14, 7] Operation: 28/4=7 Exploring Operation: 28+14=42, Resulting Numbers: [4, 42] Generated Node #0,1,3: 49:[4, 42] Operation: 28+14=42 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 49:[14, 7], Operations: ['98-84=14', '28/4=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,49 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,49 unequal: No Solution Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,49 unequal: No Solution Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,49 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:[4, 2], Operations: ['98-84=14', '28/14=2'] Exploring Operation: 4+2=6, Resulting Numbers: [6] 6,49 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,49 unequal: No Solution Exploring Operation: 4*2=8, Resulting Numbers: [8] 8,49 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,49 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 #0,1,0 Current State: 49:[4, 14], Operations: ['98-84=14', '28-14=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,49 unequal: No Solution Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,49 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 #0,1,3 Current State: 49:[4, 42], Operations: ['98-84=14', '28+14=42'] Exploring Operation: 4*42=168, Resulting Numbers: [168] 168,49 unequal: No Solution Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,49 unequal: No Solution Exploring Operation: 4+42=46, Resulting Numbers: [46] 46,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 49:[4, 98, 3], Operations: ['84/28=3'] Exploring Operation: 98-4=94, Resulting Numbers: [3, 94] Generated Node #0,2,0: 49:[3, 94] Operation: 98-4=94 Exploring Operation: 98-3=95, Resulting Numbers: [4, 95] Generated Node #0,2,1: 49:[4, 95] Operation: 98-3=95 Exploring Operation: 4*3=12, Resulting Numbers: [98, 12] Generated Node #0,2,2: 49:[98, 12] Operation: 4*3=12 Exploring Operation: 4+3=7, Resulting Numbers: [98, 7] Generated Node #0,2,3: 49:[98, 7] Operation: 4+3=7 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 49:[3, 94], Operations: ['84/28=3', '98-4=94'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,49 unequal: No Solution Exploring Operation: 3*94=282, Resulting Numbers: [282] 282,49 unequal: No Solution Exploring Operation: 3+94=97, Resulting Numbers: [97] 97,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 49:[4, 95], Operations: ['84/28=3', '98-3=95'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,49 unequal: No Solution Exploring Operation: 4+95=99, Resulting Numbers: [99] 99,49 unequal: No Solution Exploring Operation: 4*95=380, Resulting Numbers: [380] 380,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 49:[98, 7], Operations: ['84/28=3', '4+3=7'] Exploring Operation: 98+7=105, Resulting Numbers: [105] 105,49 unequal: No Solution Exploring Operation: 98*7=686, Resulting Numbers: [686] 686,49 unequal: No Solution Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,49 unequal: No Solution Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 49:[98, 12], Operations: ['84/28=3', '4*3=12'] Exploring Operation: 98+12=110, Resulting Numbers: [110] 110,49 unequal: No Solution Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,49 unequal: No Solution Exploring Operation: 98*12=1176, Resulting Numbers: [1176] 1176,49 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 49:[4, 98, 56], Operations: ['84-28=56'] Exploring Operation: 56/4=14, Resulting Numbers: [98, 14] Generated Node #0,0,0: 49:[98, 14] Operation: 56/4=14 Exploring Operation: 98-4=94, Resulting Numbers: [56, 94] Generated Node #0,0,1: 49:[56, 94] Operation: 98-4=94 Exploring Operation: 56-4=52, Resulting Numbers: [98, 52] Generated Node #0,0,2: 49:[98, 52] Operation: 56-4=52 Exploring Operation: 98-56=42, Resulting Numbers: [4, 42] Generated Node #0,0,3: 49:[4, 42] Operation: 98-56=42 Moving to Node #0,0,3 Current State: 49:[4, 42], Operations: ['84-28=56', '98-56=42'] Exploring Operation: 4+42=46, Resulting Numbers: [46] 46,49 unequal: No Solution Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,49 unequal: No Solution Exploring Operation: 4*42=168, Resulting Numbers: [168] 168,49 unequal: No Solution Moving to Node #0,0,2 Current State: 49:[98, 52], Operations: ['84-28=56', '56-4=52'] Exploring Operation: 98-52=46, Resulting Numbers: [46] 46,49 unequal: No Solution Exploring Operation: 98*52=5096, Resulting Numbers: [5096] 5096,49 unequal: No Solution Exploring Operation: 98+52=150, Resulting Numbers: [150] 150,49 unequal: No Solution Moving to Node #0,0,1 Current State: 49:[56, 94], Operations: ['84-28=56', '98-4=94'] Exploring Operation: 56+94=150, Resulting Numbers: [150] 150,49 unequal: No Solution Exploring Operation: 94-56=38, Resulting Numbers: [38] 38,49 unequal: No Solution Exploring Operation: 56*94=5264, Resulting Numbers: [5264] 5264,49 unequal: No Solution Moving to Node #0,0,0 Current State: 49:[98, 14], Operations: ['84-28=56', '56/4=14'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,49 unequal: No Solution Exploring Operation: 98/14=7, Resulting Numbers: [7] 7,49 unequal: No Solution Exploring Operation: 98+14=112, Resulting Numbers: [112] 112,49 unequal: No Solution Exploring Operation: 98*14=1372, Resulting Numbers: [1372] 1372,49 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 #0,3 Current State: 49:[4, 84, 70], Operations: ['98-28=70'] Exploring Operation: 84-4=80, Resulting Numbers: [70, 80] Generated Node #0,3,0: 49:[70, 80] Operation: 84-4=80 Exploring Operation: 84-70=14, Resulting Numbers: [4, 14] Generated Node #0,3,1: 49:[4, 14] Operation: 84-70=14 Exploring Operation: 84/4=21, Resulting Numbers: [70, 21] Generated Node #0,3,2: 49:[70, 21] Operation: 84/4=21 Exploring Operation: 70-4=66, Resulting Numbers: [84, 66] Generated Node #0,3,3: 49:[84, 66] Operation: 70-4=66 Moving to Node #0,3,1 Current State: 49:[4, 14], Operations: ['98-28=70', '84-70=14'] Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,49 unequal: No Solution Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,49 unequal: No Solution Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,49 unequal: No Solution Moving to Node #0,3,2 Current State: 49:[70, 21], Operations: ['98-28=70', '84/4=21'] Exploring Operation: 70*21=1470, Resulting Numbers: [1470] 1470,49 unequal: No Solution Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[4, 84, 98, 28], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [4, 84, 70] Generated Node #0,3: 49:[4, 84, 70] Operation: 98-28=70 Moving to Node #0,3 Current State: 49:[4, 84, 70], Operations: ['98-28=70'] Exploring Operation: 84/4=21, Resulting Numbers: [70, 21] Generated Node #0,3,2: 49:[70, 21] Operation: 84/4=21 Moving to Node #0,3,2 Current State: 49:[70, 21], Operations: ['98-28=70', '84/4=21'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 1
0.940104
hs_4
sum_heuristic
[ 4, 23, 51, 52 ]
15
[ "52/4=13", "51-23=28", "28-13=15" ]
Current State: 15:[4, 23, 51, 52], Operations: [] Exploring Operation: 52/4=13, Resulting Numbers: [23, 51, 13] Generated Node #2: [23, 51, 13] from Operation: 52/4=13 Current State: 15:[23, 51, 13], Operations: ['52/4=13'] Exploring Operation: 51-23=28, Resulting Numbers: [13, 28] Generated Node #3: [13, 28] from Operation: 51-23=28 Current State: 15:[13, 28], Operations: ['52/4=13', '51-23=28'] Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[4, 23, 51, 52], Operations: [] Exploring Operation: 52-51=1, Resulting Numbers: [4, 23, 1] Generated Node #0,0: 15:[4, 23, 1] Operation: 52-51=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 15:[4, 23, 1], Operations: ['52-51=1'] Exploring Operation: 23-4=19, Resulting Numbers: [1, 19] Generated Node #0,0,0: 15:[1, 19] Operation: 23-4=19 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 15:[1, 19], Operations: ['52-51=1', '23-4=19'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,15 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
[ 31, 1, 6, 45 ]
50
[ "31-1=30", "30/6=5", "45+5=50" ]
Current State: 50:[31, 1, 6, 45], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [6, 45, 30] Generated Node #2: [6, 45, 30] from Operation: 31-1=30 Current State: 50:[6, 45, 30], Operations: ['31-1=30'] Exploring Operation: 30/6=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 30/6=5 Current State: 50:[45, 5], Operations: ['31-1=30', '30/6=5'] Exploring Operation: 45+5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[31, 1, 6, 45], Operations: [] Exploring Operation: 31-6=25, Resulting Numbers: [1, 45, 25] Generated Node #0,0: 50:[1, 45, 25] Operation: 31-6=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[1, 45, 25], Operations: ['31-6=25'] Exploring Operation: 1+45=46, Resulting Numbers: [25, 46] Generated Node #0,0,0: 50:[25, 46] Operation: 1+45=46 Moving to Node #0,0,0 Current State: 50:[25, 46], Operations: ['31-6=25', '1+45=46'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,50 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
[ 17, 83, 99, 85 ]
86
[ "17+83=100", "99-85=14", "100-14=86" ]
Current State: 86:[17, 83, 99, 85], Operations: [] Exploring Operation: 17+83=100, Resulting Numbers: [99, 85, 100] Generated Node #2: [99, 85, 100] from Operation: 17+83=100 Current State: 86:[99, 85, 100], Operations: ['17+83=100'] Exploring Operation: 99-85=14, Resulting Numbers: [100, 14] Generated Node #3: [100, 14] from Operation: 99-85=14 Current State: 86:[100, 14], Operations: ['17+83=100', '99-85=14'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[17, 83, 99, 85], Operations: [] Exploring Operation: 99-17=82, Resulting Numbers: [83, 85, 82] Generated Node #0,0: 86:[83, 85, 82] Operation: 99-17=82 Exploring Operation: 85/17=5, Resulting Numbers: [83, 99, 5] Generated Node #0,1: 86:[83, 99, 5] Operation: 85/17=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 86:[83, 85, 82], Operations: ['99-17=82'] Exploring Operation: 83-82=1, Resulting Numbers: [85, 1] Generated Node #0,0,0: 86:[85, 1] Operation: 83-82=1 Exploring Operation: 85-83=2, Resulting Numbers: [82, 2] Generated Node #0,0,1: 86:[82, 2] Operation: 85-83=2 Moving to Node #0,0,0 Current State: 86:[85, 1], Operations: ['99-17=82', '83-82=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[17, 83, 99, 85], Operations: [] Exploring Operation: 99-17=82, Resulting Numbers: [83, 85, 82] Generated Node #0,0: 86:[83, 85, 82] Operation: 99-17=82 Moving to Node #0,0 Current State: 86:[83, 85, 82], Operations: ['99-17=82'] Exploring Operation: 83-82=1, Resulting Numbers: [85, 1] Generated Node #0,0,0: 86:[85, 1] Operation: 83-82=1 Moving to Node #0,0,0 Current State: 86:[85, 1], Operations: ['99-17=82', '83-82=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 39, 92, 91, 93 ]
37
[ "91+93=184", "184/92=2", "39-2=37" ]
Current State: 37:[39, 92, 91, 93], Operations: [] Exploring Operation: 91+93=184, Resulting Numbers: [39, 92, 184] Generated Node #2: [39, 92, 184] from Operation: 91+93=184 Current State: 37:[39, 92, 184], Operations: ['91+93=184'] Exploring Operation: 184/92=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 184/92=2 Current State: 37:[39, 2], Operations: ['91+93=184', '184/92=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[39, 92, 91, 93], Operations: [] Exploring Operation: 92-39=53, Resulting Numbers: [91, 93, 53] Generated Node #0,0: 37:[91, 93, 53] Operation: 92-39=53 Exploring Operation: 92-91=1, Resulting Numbers: [39, 93, 1] Generated Node #0,1: 37:[39, 93, 1] Operation: 92-91=1 Exploring Operation: 93-91=2, Resulting Numbers: [39, 92, 2] Generated Node #0,2: 37:[39, 92, 2] Operation: 93-91=2 Exploring Operation: 93-92=1, Resulting Numbers: [39, 91, 1] Generated Node #0,3: 37:[39, 91, 1] Operation: 93-92=1 Moving to Node #0,2 Current State: 37:[39, 92, 2], Operations: ['93-91=2'] Exploring Operation: 92-2=90, Resulting Numbers: [39, 90] Generated Node #0,2,0: 37:[39, 90] Operation: 92-2=90 Exploring Operation: 92/2=46, Resulting Numbers: [39, 46] Generated Node #0,2,1: 37:[39, 46] Operation: 92/2=46 Exploring Operation: 39-2=37, Resulting Numbers: [92, 37] Generated Node #0,2,2: 37:[92, 37] Operation: 39-2=37 Exploring Operation: 92-39=53, Resulting Numbers: [2, 53] Generated Node #0,2,3: 37:[2, 53] Operation: 92-39=53 Moving to Node #0,3 Current State: 37:[39, 91, 1], Operations: ['93-92=1'] Exploring Operation: 91-1=90, Resulting Numbers: [39, 90] Generated Node #0,3,0: 37:[39, 90] Operation: 91-1=90 Exploring Operation: 91-39=52, Resulting Numbers: [1, 52] Generated Node #0,3,1: 37:[1, 52] Operation: 91-39=52 Exploring Operation: 39*1=39, Resulting Numbers: [91, 39] Generated Node #0,3,2: 37:[91, 39] Operation: 39*1=39 Exploring Operation: 39-1=38, Resulting Numbers: [91, 38] Generated Node #0,3,3: 37:[91, 38] Operation: 39-1=38 Moving to Node #0,1 Current State: 37:[39, 93, 1], Operations: ['92-91=1'] Exploring Operation: 39*1=39, Resulting Numbers: [93, 39] Generated Node #0,1,0: 37:[93, 39] Operation: 39*1=39 Exploring Operation: 93-39=54, Resulting Numbers: [1, 54] Generated Node #0,1,1: 37:[1, 54] Operation: 93-39=54 Exploring Operation: 39-1=38, Resulting Numbers: [93, 38] Generated Node #0,1,2: 37:[93, 38] Operation: 39-1=38 Exploring Operation: 93-1=92, Resulting Numbers: [39, 92] Generated Node #0,1,3: 37:[39, 92] Operation: 93-1=92 Moving to Node #0,0 Current State: 37:[91, 93, 53], Operations: ['92-39=53'] Exploring Operation: 93-53=40, Resulting Numbers: [91, 40] Generated Node #0,0,0: 37:[91, 40] Operation: 93-53=40 Exploring Operation: 91-53=38, Resulting Numbers: [93, 38] Generated Node #0,0,1: 37:[93, 38] Operation: 91-53=38 Exploring Operation: 93-91=2, Resulting Numbers: [53, 2] Generated Node #0,0,2: 37:[53, 2] Operation: 93-91=2 Exploring Operation: 91+93=184, Resulting Numbers: [53, 184] Generated Node #0,0,3: 37:[53, 184] Operation: 91+93=184 Moving to Node #0,2,1 Current State: 37:[39, 46], Operations: ['93-91=2', '92/2=46'] Exploring Operation: 46-39=7, Resulting Numbers: [7] 7,37 unequal: No Solution Exploring Operation: 39+46=85, Resulting Numbers: [85] 85,37 unequal: No Solution Exploring Operation: 39*46=1794, Resulting Numbers: [1794] 1794,37 unequal: No Solution Moving to Node #0,0,2 Current State: 37:[53, 2], Operations: ['92-39=53', '93-91=2'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,37 unequal: No Solution Exploring Operation: 53*2=106, Resulting Numbers: [106] 106,37 unequal: No Solution Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,37 unequal: No Solution Moving to Node #0,2,3 Current State: 37:[2, 53], Operations: ['93-91=2', '92-39=53'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,37 unequal: No Solution Exploring Operation: 2+53=55, Resulting Numbers: [55] 55,37 unequal: No Solution Exploring Operation: 2*53=106, Resulting Numbers: [106] 106,37 unequal: No Solution Moving to Node #0,3,1 Current State: 37:[1, 52], Operations: ['93-92=1', '91-39=52'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,37 unequal: No Solution Exploring Operation: 52/1=52, Resulting Numbers: [52] 52,37 unequal: No Solution Exploring Operation: 1+52=53, Resulting Numbers: [53] 53,37 unequal: No Solution Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,37 unequal: No Solution Moving to Node #0,1,1 Current State: 37:[1, 54], Operations: ['92-91=1', '93-39=54'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,37 unequal: No Solution Exploring Operation: 1*54=54, Resulting Numbers: [54] 54,37 unequal: No Solution Exploring Operation: 1+54=55, Resulting Numbers: [55] 55,37 unequal: No Solution Exploring Operation: 54/1=54, Resulting Numbers: [54] 54,37 unequal: No Solution Moving to Node #0,3,3 Current State: 37:[91, 38], Operations: ['93-92=1', '39-1=38'] Exploring Operation: 91-38=53, Resulting Numbers: [53] 53,37 unequal: No Solution Exploring Operation: 91*38=3458, Resulting Numbers: [3458] 3458,37 unequal: No Solution Exploring Operation: 91+38=129, Resulting Numbers: [129] 129,37 unequal: No Solution Moving to Node #0,2,0 Current State: 37:[39, 90], Operations: ['93-91=2', '92-2=90'] Exploring Operation: 90-39=51, Resulting Numbers: [51] 51,37 unequal: No Solution Exploring Operation: 39*90=3510, Resulting Numbers: [3510] 3510,37 unequal: No Solution Exploring Operation: 39+90=129, Resulting Numbers: [129] 129,37 unequal: No Solution Moving to Node #0,2,2 Current State: 37:[92, 37], Operations: ['93-91=2', '39-2=37'] Exploring Operation: 92*37=3404, Resulting Numbers: [3404] 3404,37 unequal: No Solution Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,37 unequal: No Solution Exploring Operation: 92+37=129, Resulting Numbers: [129] 129,37 unequal: No Solution Moving to Node #0,3,0 Current State: 37:[39, 90], Operations: ['93-92=1', '91-1=90'] Exploring Operation: 39+90=129, Resulting Numbers: [129] 129,37 unequal: No Solution Exploring Operation: 39*90=3510, Resulting Numbers: [3510] 3510,37 unequal: No Solution Exploring Operation: 90-39=51, Resulting Numbers: [51] 51,37 unequal: No Solution Moving to Node #0,3,2 Current State: 37:[91, 39], Operations: ['93-92=1', '39*1=39'] Exploring Operation: 91-39=52, Resulting Numbers: [52] 52,37 unequal: No Solution Exploring Operation: 91+39=130, Resulting Numbers: [130] 130,37 unequal: No Solution Exploring Operation: 91*39=3549, Resulting Numbers: [3549] 3549,37 unequal: No Solution Moving to Node #0,0,1 Current State: 37:[93, 38], Operations: ['92-39=53', '91-53=38'] Exploring Operation: 93-38=55, Resulting Numbers: [55] 55,37 unequal: No Solution Exploring Operation: 93+38=131, Resulting Numbers: [131] 131,37 unequal: No Solution Exploring Operation: 93*38=3534, Resulting Numbers: [3534] 3534,37 unequal: No Solution Moving to Node #0,1,3 Current State: 37:[39, 92], Operations: ['92-91=1', '93-1=92'] Exploring Operation: 39*92=3588, Resulting Numbers: [3588] 3588,37 unequal: No Solution Exploring Operation: 92-39=53, Resulting Numbers: [53] 53,37 unequal: No Solution Exploring Operation: 39+92=131, Resulting Numbers: [131] 131,37 unequal: No Solution Moving to Node #0,0,0 Current State: 37:[91, 40], Operations: ['92-39=53', '93-53=40'] Exploring Operation: 91*40=3640, Resulting Numbers: [3640] 3640,37 unequal: No Solution Exploring Operation: 91+40=131, Resulting Numbers: [131] 131,37 unequal: No Solution Exploring Operation: 91-40=51, Resulting Numbers: [51] 51,37 unequal: No Solution Moving to Node #0,1,2 Current State: 37:[93, 38], Operations: ['92-91=1', '39-1=38'] Exploring Operation: 93-38=55, Resulting Numbers: [55] 55,37 unequal: No Solution Exploring Operation: 93+38=131, Resulting Numbers: [131] 131,37 unequal: No Solution Exploring Operation: 93*38=3534, Resulting Numbers: [3534] 3534,37 unequal: No Solution Moving to Node #0,1,0 Current State: 37:[93, 39], Operations: ['92-91=1', '39*1=39'] Exploring Operation: 93+39=132, Resulting Numbers: [132] 132,37 unequal: No Solution Exploring Operation: 93*39=3627, Resulting Numbers: [3627] 3627,37 unequal: No Solution Exploring Operation: 93-39=54, Resulting Numbers: [54] 54,37 unequal: No Solution Moving to Node #0,0,3 Current State: 37:[53, 184], Operations: ['92-39=53', '91+93=184'] Exploring Operation: 53+184=237, Resulting Numbers: [237] 237,37 unequal: No Solution Exploring Operation: 53*184=9752, Resulting Numbers: [9752] 9752,37 unequal: No Solution Exploring Operation: 184-53=131, Resulting Numbers: [131] 131,37 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 60, 87, 39, 93 ]
93
[ "60+87=147", "93-39=54", "147-54=93" ]
Current State: 93:[60, 87, 39, 93], Operations: [] Exploring Operation: 60+87=147, Resulting Numbers: [39, 93, 147] Generated Node #2: [39, 93, 147] from Operation: 60+87=147 Current State: 93:[39, 93, 147], Operations: ['60+87=147'] Exploring Operation: 93-39=54, Resulting Numbers: [147, 54] Generated Node #3: [147, 54] from Operation: 93-39=54 Current State: 93:[147, 54], Operations: ['60+87=147', '93-39=54'] Exploring Operation: 147-54=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[60, 87, 39, 93], Operations: [] Exploring Operation: 60-39=21, Resulting Numbers: [87, 93, 21] Generated Node #0,0: 93:[87, 93, 21] Operation: 60-39=21 Exploring Operation: 60+39=99, Resulting Numbers: [87, 93, 99] Generated Node #0,1: 93:[87, 93, 99] Operation: 60+39=99 Exploring Operation: 93-60=33, Resulting Numbers: [87, 39, 33] Generated Node #0,2: 93:[87, 39, 33] Operation: 93-60=33 Exploring Operation: 87-60=27, Resulting Numbers: [39, 93, 27] Generated Node #0,3: 93:[39, 93, 27] Operation: 87-60=27 Moving to Node #0,1 Current State: 93:[87, 93, 99], Operations: ['60+39=99'] Exploring Operation: 99-93=6, Resulting Numbers: [87, 6] Generated Node #0,1,0: 93:[87, 6] Operation: 99-93=6 Exploring Operation: 87+93=180, Resulting Numbers: [99, 180] Generated Node #0,1,1: 93:[99, 180] Operation: 87+93=180 Exploring Operation: 99-87=12, Resulting Numbers: [93, 12] Generated Node #0,1,2: 93:[93, 12] Operation: 99-87=12 Exploring Operation: 93-87=6, Resulting Numbers: [99, 6] Generated Node #0,1,3: 93:[99, 6] Operation: 93-87=6 Moving to Node #0,3 Current State: 93:[39, 93, 27], Operations: ['87-60=27'] Exploring Operation: 39+27=66, Resulting Numbers: [93, 66] Generated Node #0,3,0: 93:[93, 66] Operation: 39+27=66 Exploring Operation: 93-39=54, Resulting Numbers: [27, 54] Generated Node #0,3,1: 93:[27, 54] Operation: 93-39=54 Exploring Operation: 39-27=12, Resulting Numbers: [93, 12] Generated Node #0,3,2: 93:[93, 12] Operation: 39-27=12 Exploring Operation: 93+27=120, Resulting Numbers: [39, 120] Generated Node #0,3,3: 93:[39, 120] Operation: 93+27=120 Moving to Node #0,2 Current State: 93:[87, 39, 33], Operations: ['93-60=33'] Exploring Operation: 39+33=72, Resulting Numbers: [87, 72] Generated Node #0,2,0: 93:[87, 72] Operation: 39+33=72 Exploring Operation: 39-33=6, Resulting Numbers: [87, 6] Generated Node #0,2,1: 93:[87, 6] Operation: 39-33=6 Exploring Operation: 87-39=48, Resulting Numbers: [33, 48] Generated Node #0,2,2: 93:[33, 48] Operation: 87-39=48 Exploring Operation: 87-33=54, Resulting Numbers: [39, 54] Generated Node #0,2,3: 93:[39, 54] Operation: 87-33=54 Moving to Node #0,0 Current State: 93:[87, 93, 21], Operations: ['60-39=21'] Exploring Operation: 93+21=114, Resulting Numbers: [87, 114] Generated Node #0,0,0: 93:[87, 114] Operation: 93+21=114 Exploring Operation: 93-87=6, Resulting Numbers: [21, 6] Generated Node #0,0,1: 93:[21, 6] Operation: 93-87=6 Exploring Operation: 87-21=66, Resulting Numbers: [93, 66] Generated Node #0,0,2: 93:[93, 66] Operation: 87-21=66 Exploring Operation: 87+21=108, Resulting Numbers: [93, 108] Generated Node #0,0,3: 93:[93, 108] Operation: 87+21=108 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 93:[21, 6], Operations: ['60-39=21', '93-87=6'] Exploring Operation: 21*6=126, Resulting Numbers: [126] 126,93 unequal: No Solution Exploring Operation: 21+6=27, Resulting Numbers: [27] 27,93 unequal: No Solution Exploring Operation: 21-6=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 #0,0,3 Current State: 93:[93, 108], Operations: ['60-39=21', '87+21=108'] Exploring Operation: 93*108=10044, Resulting Numbers: [10044] 10044,93 unequal: No Solution Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,93 unequal: No Solution Exploring Operation: 93+108=201, Resulting Numbers: [201] 201,93 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 #0,0,0 Current State: 93:[87, 114], Operations: ['60-39=21', '93+21=114'] Exploring Operation: 87*114=9918, Resulting Numbers: [9918] 9918,93 unequal: No Solution Exploring Operation: 114-87=27, Resulting Numbers: [27] 27,93 unequal: No Solution Exploring Operation: 87+114=201, Resulting Numbers: [201] 201,93 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 #0,0,2 Current State: 93:[93, 66], Operations: ['60-39=21', '87-21=66'] Exploring Operation: 93+66=159, Resulting Numbers: [159] 159,93 unequal: No Solution Exploring Operation: 93-66=27, Resulting Numbers: [27] 27,93 unequal: No Solution Exploring Operation: 93*66=6138, Resulting Numbers: [6138] 6138,93 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: 93:[87, 6], Operations: ['60+39=99', '99-93=6'] Exploring Operation: 87*6=522, Resulting Numbers: [522] 522,93 unequal: No Solution Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[60, 87, 39, 93], Operations: [] Exploring Operation: 60+39=99, Resulting Numbers: [87, 93, 99] Generated Node #0,1: 93:[87, 93, 99] Operation: 60+39=99 Moving to Node #0,1 Current State: 93:[87, 93, 99], Operations: ['60+39=99'] Exploring Operation: 99-93=6, Resulting Numbers: [87, 6] Generated Node #0,1,0: 93:[87, 6] Operation: 99-93=6 Moving to Node #0,1,0 Current State: 93:[87, 6], Operations: ['60+39=99', '99-93=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
0.967014
hs_4
mult_heuristic
[ 13, 29, 30, 31 ]
41
[ "13+29=42", "31-30=1", "42-1=41" ]
Current State: 41:[13, 29, 30, 31], Operations: [] Exploring Operation: 13+29=42, Resulting Numbers: [30, 31, 42] Generated Node #2: [30, 31, 42] from Operation: 13+29=42 Current State: 41:[30, 31, 42], Operations: ['13+29=42'] Exploring Operation: 31-30=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 31-30=1 Current State: 41:[42, 1], Operations: ['13+29=42', '31-30=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[13, 29, 30, 31], Operations: [] Exploring Operation: 13+29=42, Resulting Numbers: [30, 31, 42] Generated Node #0,0: 41:[30, 31, 42] Operation: 13+29=42 Exploring Operation: 13+30=43, Resulting Numbers: [29, 31, 43] Generated Node #0,1: 41:[29, 31, 43] Operation: 13+30=43 Moving to Node #0,0 Current State: 41:[30, 31, 42], Operations: ['13+29=42'] Exploring Operation: 42-30=12, Resulting Numbers: [31, 12] Generated Node #0,0,0: 41:[31, 12] Operation: 42-30=12 Exploring Operation: 30+31=61, Resulting Numbers: [42, 61] Generated Node #0,0,1: 41:[42, 61] Operation: 30+31=61 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 41:[42, 61], Operations: ['13+29=42', '30+31=61'] Exploring Operation: 42+61=103, Resulting Numbers: [103] 103,41 unequal: No Solution Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 41:[31, 12], Operations: ['13+29=42', '42-30=12'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,41 unequal: No Solution Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 41:[29, 31, 43], Operations: ['13+30=43'] Exploring Operation: 29+31=60, Resulting Numbers: [43, 60] Generated Node #0,1,0: 41:[43, 60] Operation: 29+31=60 Exploring Operation: 43-29=14, Resulting Numbers: [31, 14] Generated Node #0,1,1: 41:[31, 14] Operation: 43-29=14 Moving to Node #0,1,0 Current State: 41:[43, 60], Operations: ['13+30=43', '29+31=60'] Exploring Operation: 43+60=103, Resulting Numbers: [103] 103,41 unequal: No Solution Exploring Operation: 60-43=17, Resulting Numbers: [17] 17,41 unequal: No Solution Moving to Node #0,1,1 Current State: 41:[31, 14], Operations: ['13+30=43', '43-29=14'] Exploring Operation: 31+14=45, Resulting Numbers: [45] 45,41 unequal: No Solution Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,41 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 1, 53, 64, 30 ]
18
[ "53-1=52", "64-30=34", "52-34=18" ]
Current State: 18:[1, 53, 64, 30], Operations: [] Exploring Operation: 53-1=52, Resulting Numbers: [64, 30, 52] Generated Node #2: [64, 30, 52] from Operation: 53-1=52 Current State: 18:[64, 30, 52], Operations: ['53-1=52'] Exploring Operation: 64-30=34, Resulting Numbers: [52, 34] Generated Node #3: [52, 34] from Operation: 64-30=34 Current State: 18:[52, 34], Operations: ['53-1=52', '64-30=34'] Exploring Operation: 52-34=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[1, 53, 64, 30], Operations: [] Exploring Operation: 53-30=23, Resulting Numbers: [1, 64, 23] Generated Node #0,0: 18:[1, 64, 23] Operation: 53-30=23 Exploring Operation: 64-30=34, Resulting Numbers: [1, 53, 34] Generated Node #0,1: 18:[1, 53, 34] Operation: 64-30=34 Exploring Operation: 64-53=11, Resulting Numbers: [1, 30, 11] Generated Node #0,2: 18:[1, 30, 11] Operation: 64-53=11 Start Sub Search at level 1: Moving to Node #0,2 Current State: 18:[1, 30, 11], Operations: ['64-53=11'] Exploring Operation: 30-11=19, Resulting Numbers: [1, 19] Generated Node #0,2,0: 18:[1, 19] Operation: 30-11=19 Exploring Operation: 30-1=29, Resulting Numbers: [11, 29] Generated Node #0,2,1: 18:[11, 29] Operation: 30-1=29 Exploring Operation: 11-1=10, Resulting Numbers: [30, 10] Generated Node #0,2,2: 18:[30, 10] Operation: 11-1=10 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 18:[1, 19], Operations: ['64-53=11', '30-11=19'] Exploring Operation: 1*19=19, Resulting Numbers: [19] 19,18 unequal: No Solution Exploring Operation: 19/1=19, Resulting Numbers: [19] 19,18 unequal: No Solution Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[1, 53, 64, 30], Operations: [] Exploring Operation: 64-53=11, Resulting Numbers: [1, 30, 11] Generated Node #0,2: 18:[1, 30, 11] Operation: 64-53=11 Moving to Node #0,2 Current State: 18:[1, 30, 11], Operations: ['64-53=11'] Exploring Operation: 30-11=19, Resulting Numbers: [1, 19] Generated Node #0,2,0: 18:[1, 19] Operation: 30-11=19 Moving to Node #0,2,0 Current State: 18:[1, 19], Operations: ['64-53=11', '30-11=19'] Exploring Operation: 19-1=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
sum_heuristic
[ 77, 13, 56, 35 ]
69
[ "77+13=90", "56-35=21", "90-21=69" ]
Current State: 69:[77, 13, 56, 35], Operations: [] Exploring Operation: 77+13=90, Resulting Numbers: [56, 35, 90] Generated Node #2: [56, 35, 90] from Operation: 77+13=90 Current State: 69:[56, 35, 90], Operations: ['77+13=90'] Exploring Operation: 56-35=21, Resulting Numbers: [90, 21] Generated Node #3: [90, 21] from Operation: 56-35=21 Current State: 69:[90, 21], Operations: ['77+13=90', '56-35=21'] Exploring Operation: 90-21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[77, 13, 56, 35], Operations: [] Exploring Operation: 13+56=69, Resulting Numbers: [77, 35, 69] Generated Node #0,0: 69:[77, 35, 69] Operation: 13+56=69 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[77, 35, 69], Operations: ['13+56=69'] Exploring Operation: 77-69=8, Resulting Numbers: [35, 8] Generated Node #0,0,0: 69:[35, 8] Operation: 77-69=8 Moving to Node #0,0,0 Current State: 69:[35, 8], Operations: ['13+56=69', '77-69=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 58, 29, 3, 68 ]
42
[ "58-29=29", "3+68=71", "71-29=42" ]
Current State: 42:[58, 29, 3, 68], Operations: [] Exploring Operation: 58-29=29, Resulting Numbers: [3, 68, 29] Generated Node #2: [3, 68, 29] from Operation: 58-29=29 Current State: 42:[3, 68, 29], Operations: ['58-29=29'] Exploring Operation: 3+68=71, Resulting Numbers: [29, 71] Generated Node #3: [29, 71] from Operation: 3+68=71 Current State: 42:[29, 71], Operations: ['58-29=29', '3+68=71'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[58, 29, 3, 68], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [3, 68, 2] Generated Node #0,0: 42:[3, 68, 2] Operation: 58/29=2 Exploring Operation: 68-29=39, Resulting Numbers: [58, 3, 39] Generated Node #0,1: 42:[58, 3, 39] Operation: 68-29=39 Exploring Operation: 58-29=29, Resulting Numbers: [3, 68, 29] Generated Node #0,2: 42:[3, 68, 29] Operation: 58-29=29 Exploring Operation: 68-58=10, Resulting Numbers: [29, 3, 10] Generated Node #0,3: 42:[29, 3, 10] Operation: 68-58=10 Exploring Operation: 58-3=55, Resulting Numbers: [29, 68, 55] Generated Node #0,4: 42:[29, 68, 55] Operation: 58-3=55 Start Sub Search at level 1: Moving to Node #0,3 Current State: 42:[29, 3, 10], Operations: ['68-58=10'] Exploring Operation: 29-3=26, Resulting Numbers: [10, 26] Generated Node #0,3,0: 42:[10, 26] Operation: 29-3=26 Exploring Operation: 10-3=7, Resulting Numbers: [29, 7] Generated Node #0,3,1: 42:[29, 7] Operation: 10-3=7 Exploring Operation: 29-10=19, Resulting Numbers: [3, 19] Generated Node #0,3,2: 42:[3, 19] Operation: 29-10=19 Exploring Operation: 29+10=39, Resulting Numbers: [3, 39] Generated Node #0,3,3: 42:[3, 39] Operation: 29+10=39 Exploring Operation: 3+10=13, Resulting Numbers: [29, 13] Generated Node #0,3,4: 42:[29, 13] Operation: 3+10=13 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 42:[3, 19], Operations: ['68-58=10', '29-10=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,42 unequal: No Solution Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,42 unequal: No Solution Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 42:[3, 39], Operations: ['68-58=10', '29+10=39'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,42 unequal: No Solution Exploring Operation: 3+39=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[58, 29, 3, 68], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [29, 3, 10] Generated Node #0,3: 42:[29, 3, 10] Operation: 68-58=10 Moving to Node #0,3 Current State: 42:[29, 3, 10], Operations: ['68-58=10'] Exploring Operation: 29+10=39, Resulting Numbers: [3, 39] Generated Node #0,3,3: 42:[3, 39] Operation: 29+10=39 Moving to Node #0,3,3 Current State: 42:[3, 39], Operations: ['68-58=10', '29+10=39'] Exploring Operation: 3+39=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.983507
hs_5
mult_heuristic
[ 43, 20, 9, 21 ]
27
[ "43+20=63", "9*63=567", "567/21=27" ]
Current State: 27:[43, 20, 9, 21], Operations: [] Exploring Operation: 43+20=63, Resulting Numbers: [9, 21, 63] Generated Node #2: [9, 21, 63] from Operation: 43+20=63 Current State: 27:[9, 21, 63], Operations: ['43+20=63'] Exploring Operation: 9*63=567, Resulting Numbers: [21, 567] Generated Node #3: [21, 567] from Operation: 9*63=567 Current State: 27:[21, 567], Operations: ['43+20=63', '9*63=567'] Exploring Operation: 567/21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[43, 20, 9, 21], Operations: [] Exploring Operation: 43-21=22, Resulting Numbers: [20, 9, 22] Generated Node #0,0: 27:[20, 9, 22] Operation: 43-21=22 Exploring Operation: 43-9=34, Resulting Numbers: [20, 21, 34] Generated Node #0,1: 27:[20, 21, 34] Operation: 43-9=34 Exploring Operation: 21-20=1, Resulting Numbers: [43, 9, 1] Generated Node #0,2: 27:[43, 9, 1] Operation: 21-20=1 Exploring Operation: 43-20=23, Resulting Numbers: [9, 21, 23] Generated Node #0,3: 27:[9, 21, 23] Operation: 43-20=23 Moving to Node #0,3 Current State: 27:[9, 21, 23], Operations: ['43-20=23'] Exploring Operation: 21-9=12, Resulting Numbers: [23, 12] Generated Node #0,3,0: 27:[23, 12] Operation: 21-9=12 Exploring Operation: 23-21=2, Resulting Numbers: [9, 2] Generated Node #0,3,1: 27:[9, 2] Operation: 23-21=2 Exploring Operation: 9+23=32, Resulting Numbers: [21, 32] Generated Node #0,3,2: 27:[21, 32] Operation: 9+23=32 Exploring Operation: 9+21=30, Resulting Numbers: [23, 30] Generated Node #0,3,3: 27:[23, 30] Operation: 9+21=30 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 27:[9, 2], Operations: ['43-20=23', '23-21=2'] Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,27 unequal: No Solution Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,27 unequal: No Solution Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 27:[23, 12], Operations: ['43-20=23', '21-9=12'] Exploring Operation: 23*12=276, Resulting Numbers: [276] 276,27 unequal: No Solution Exploring Operation: 23+12=35, Resulting Numbers: [35] 35,27 unequal: No Solution Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 27:[23, 30], Operations: ['43-20=23', '9+21=30'] Exploring Operation: 30-23=7, Resulting Numbers: [7] 7,27 unequal: No Solution Exploring Operation: 23+30=53, Resulting Numbers: [53] 53,27 unequal: No Solution Exploring Operation: 23*30=690, Resulting Numbers: [690] 690,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 27:[21, 32], Operations: ['43-20=23', '9+23=32'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,27 unequal: No Solution Exploring Operation: 21+32=53, Resulting Numbers: [53] 53,27 unequal: No Solution Exploring Operation: 21*32=672, Resulting Numbers: [672] 672,27 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: 27:[20, 9, 22], Operations: ['43-21=22'] Exploring Operation: 9+22=31, Resulting Numbers: [20, 31] Generated Node #0,0,0: 27:[20, 31] Operation: 9+22=31 Exploring Operation: 20-9=11, Resulting Numbers: [22, 11] Generated Node #0,0,1: 27:[22, 11] Operation: 20-9=11 Exploring Operation: 22-20=2, Resulting Numbers: [9, 2] Generated Node #0,0,2: 27:[9, 2] Operation: 22-20=2 Exploring Operation: 20+9=29, Resulting Numbers: [22, 29] Generated Node #0,0,3: 27:[22, 29] Operation: 20+9=29 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 27:[9, 2], Operations: ['43-21=22', '22-20=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,27 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,27 unequal: No Solution Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 27:[22, 11], Operations: ['43-21=22', '20-9=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 22/11=2, Resulting Numbers: [2] 2,27 unequal: No Solution Exploring Operation: 22*11=242, Resulting Numbers: [242] 242,27 unequal: No Solution Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 27:[22, 29], Operations: ['43-21=22', '20+9=29'] Exploring Operation: 29-22=7, Resulting Numbers: [7] 7,27 unequal: No Solution Exploring Operation: 22*29=638, Resulting Numbers: [638] 638,27 unequal: No Solution Exploring Operation: 22+29=51, Resulting Numbers: [51] 51,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 27:[20, 31], Operations: ['43-21=22', '9+22=31'] Exploring Operation: 20*31=620, Resulting Numbers: [620] 620,27 unequal: No Solution Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,27 unequal: No Solution Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 27:[43, 9, 1], Operations: ['21-20=1'] Exploring Operation: 43-1=42, Resulting Numbers: [9, 42] Generated Node #0,2,0: 27:[9, 42] Operation: 43-1=42 Exploring Operation: 43*1=43, Resulting Numbers: [9, 43] Generated Node #0,2,1: 27:[9, 43] Operation: 43*1=43 Exploring Operation: 43/1=43, Resulting Numbers: [9, 43] Generated Node #0,2,2: 27:[9, 43] Operation: 43/1=43 Exploring Operation: 43-9=34, Resulting Numbers: [1, 34] Generated Node #0,2,3: 27:[1, 34] Operation: 43-9=34 Moving to Node #0,1 Current State: 27:[20, 21, 34], Operations: ['43-9=34'] Exploring Operation: 34-21=13, Resulting Numbers: [20, 13] Generated Node #0,1,0: 27:[20, 13] Operation: 34-21=13 Exploring Operation: 34-20=14, Resulting Numbers: [21, 14] Generated Node #0,1,1: 27:[21, 14] Operation: 34-20=14 Exploring Operation: 20+21=41, Resulting Numbers: [34, 41] Generated Node #0,1,2: 27:[34, 41] Operation: 20+21=41 Exploring Operation: 21-20=1, Resulting Numbers: [34, 1] Generated Node #0,1,3: 27:[34, 1] Operation: 21-20=1 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 27:[34, 1], Operations: ['43-9=34', '21-20=1'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,27 unequal: No Solution Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,27 unequal: No Solution Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,27 unequal: No Solution Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 27:[20, 13], Operations: ['43-9=34', '34-21=13'] Exploring Operation: 20-13=7, Resulting Numbers: [7] 7,27 unequal: No Solution Exploring Operation: 20+13=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 20*13=260, Resulting Numbers: [260] 260,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 27:[21, 14], Operations: ['43-9=34', '34-20=14'] Exploring Operation: 21+14=35, Resulting Numbers: [35] 35,27 unequal: No Solution Exploring Operation: 21*14=294, Resulting Numbers: [294] 294,27 unequal: No Solution Exploring Operation: 21-14=7, Resulting Numbers: [7] 7,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 27:[34, 41], Operations: ['43-9=34', '20+21=41'] Exploring Operation: 34+41=75, Resulting Numbers: [75] 75,27 unequal: No Solution Exploring Operation: 34*41=1394, Resulting Numbers: [1394] 1394,27 unequal: No Solution Exploring Operation: 41-34=7, Resulting Numbers: [7] 7,27 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: 27:[1, 34], Operations: ['21-20=1', '43-9=34'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,27 unequal: No Solution Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,27 unequal: No Solution Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,27 unequal: No Solution Moving to Node #0,2,0 Current State: 27:[9, 42], Operations: ['21-20=1', '43-1=42'] Exploring Operation: 9+42=51, Resulting Numbers: [51] 51,27 unequal: No Solution Exploring Operation: 42-9=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 9*42=378, Resulting Numbers: [378] 378,27 unequal: No Solution Moving to Node #0,2,2 Current State: 27:[9, 43], Operations: ['21-20=1', '43/1=43'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,27 unequal: No Solution Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,27 unequal: No Solution Exploring Operation: 9*43=387, Resulting Numbers: [387] 387,27 unequal: No Solution Moving to Node #0,2,1 Current State: 27:[9, 43], Operations: ['21-20=1', '43*1=43'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,27 unequal: No Solution Exploring Operation: 9*43=387, Resulting Numbers: [387] 387,27 unequal: No Solution Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,27 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 60, 61, 63, 9 ]
72
[ "61-60=1", "63+9=72", "1*72=72" ]
Current State: 72:[60, 61, 63, 9], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [63, 9, 1] Generated Node #2: [63, 9, 1] from Operation: 61-60=1 Current State: 72:[63, 9, 1], Operations: ['61-60=1'] Exploring Operation: 63+9=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 63+9=72 Current State: 72:[1, 72], Operations: ['61-60=1', '63+9=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[60, 61, 63, 9], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [63, 9, 1] Generated Node #0,0: 72:[63, 9, 1] Operation: 61-60=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[63, 9, 1], Operations: ['61-60=1'] Exploring Operation: 63+9=72, Resulting Numbers: [1, 72] Generated Node #0,0,0: 72:[1, 72] Operation: 63+9=72 Moving to Node #0,0,0 Current State: 72:[1, 72], Operations: ['61-60=1', '63+9=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[60, 61, 63, 9], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [63, 9, 1] Generated Node #0,0: 72:[63, 9, 1] Operation: 61-60=1 Moving to Node #0,0 Current State: 72:[63, 9, 1], Operations: ['61-60=1'] Exploring Operation: 63+9=72, Resulting Numbers: [1, 72] Generated Node #0,0,0: 72:[1, 72] Operation: 63+9=72 Moving to Node #0,0,0 Current State: 72:[1, 72], Operations: ['61-60=1', '63+9=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 84, 55, 87, 80 ]
83
[ "84-55=29", "87/29=3", "80+3=83" ]
Current State: 83:[84, 55, 87, 80], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [87, 80, 29] Generated Node #2: [87, 80, 29] from Operation: 84-55=29 Current State: 83:[87, 80, 29], Operations: ['84-55=29'] Exploring Operation: 87/29=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 87/29=3 Current State: 83:[80, 3], Operations: ['84-55=29', '87/29=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[84, 55, 87, 80], Operations: [] Exploring Operation: 55+80=135, Resulting Numbers: [84, 87, 135] Generated Node #0,0: 83:[84, 87, 135] Operation: 55+80=135 Exploring Operation: 84+55=139, Resulting Numbers: [87, 80, 139] Generated Node #0,1: 83:[87, 80, 139] Operation: 84+55=139 Exploring Operation: 84-55=29, Resulting Numbers: [87, 80, 29] Generated Node #0,2: 83:[87, 80, 29] Operation: 84-55=29 Exploring Operation: 87-55=32, Resulting Numbers: [84, 80, 32] Generated Node #0,3: 83:[84, 80, 32] Operation: 87-55=32 Exploring Operation: 55+87=142, Resulting Numbers: [84, 80, 142] Generated Node #0,4: 83:[84, 80, 142] Operation: 55+87=142 Start Sub Search at level 1: Moving to Node #0,3 Current State: 83:[84, 80, 32], Operations: ['87-55=32'] Exploring Operation: 80+32=112, Resulting Numbers: [84, 112] Generated Node #0,3,0: 83:[84, 112] Operation: 80+32=112 Exploring Operation: 80-32=48, Resulting Numbers: [84, 48] Generated Node #0,3,1: 83:[84, 48] Operation: 80-32=48 Exploring Operation: 84-80=4, Resulting Numbers: [32, 4] Generated Node #0,3,2: 83:[32, 4] Operation: 84-80=4 Exploring Operation: 84+32=116, Resulting Numbers: [80, 116] Generated Node #0,3,3: 83:[80, 116] Operation: 84+32=116 Exploring Operation: 84-32=52, Resulting Numbers: [80, 52] Generated Node #0,3,4: 83:[80, 52] Operation: 84-32=52 Moving to Node #0,3,0 Current State: 83:[84, 112], Operations: ['87-55=32', '80+32=112'] Exploring Operation: 112-84=28, Resulting Numbers: [28] 28,83 unequal: No Solution Exploring Operation: 84*112=9408, Resulting Numbers: [9408] 9408,83 unequal: No Solution Exploring Operation: 84+112=196, Resulting Numbers: [196] 196,83 unequal: No Solution Moving to Node #0,3,4 Current State: 83:[80, 52], Operations: ['87-55=32', '84-32=52'] Exploring Operation: 80+52=132, Resulting Numbers: [132] 132,83 unequal: No Solution Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,83 unequal: No Solution Exploring Operation: 80*52=4160, Resulting Numbers: [4160] 4160,83 unequal: No Solution Moving to Node #0,3,1 Current State: 83:[84, 48], Operations: ['87-55=32', '80-32=48'] Exploring Operation: 84*48=4032, Resulting Numbers: [4032] 4032,83 unequal: No Solution Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 84+48=132, Resulting Numbers: [132] 132,83 unequal: No Solution Moving to Node #0,3,3 Current State: 83:[80, 116], Operations: ['87-55=32', '84+32=116'] Exploring Operation: 116-80=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 80+116=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 80*116=9280, Resulting Numbers: [9280] 9280,83 unequal: No Solution Moving to Node #0,3,2 Current State: 83:[32, 4], Operations: ['87-55=32', '84-80=4'] Exploring Operation: 32*4=128, Resulting Numbers: [128] 128,83 unequal: No Solution Exploring Operation: 32-4=28, Resulting Numbers: [28] 28,83 unequal: No Solution Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 32/4=8, Resulting Numbers: [8] 8,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[84, 87, 135], Operations: ['55+80=135'] Exploring Operation: 135-87=48, Resulting Numbers: [84, 48] Generated Node #0,0,0: 83:[84, 48] Operation: 135-87=48 Exploring Operation: 87-84=3, Resulting Numbers: [135, 3] Generated Node #0,0,1: 83:[135, 3] Operation: 87-84=3 Exploring Operation: 84+135=219, Resulting Numbers: [87, 219] Generated Node #0,0,2: 83:[87, 219] Operation: 84+135=219 Exploring Operation: 135-84=51, Resulting Numbers: [87, 51] Generated Node #0,0,3: 83:[87, 51] Operation: 135-84=51 Exploring Operation: 84+87=171, Resulting Numbers: [135, 171] Generated Node #0,0,4: 83:[135, 171] Operation: 84+87=171 Moving to Node #0,0,0 Current State: 83:[84, 48], Operations: ['55+80=135', '135-87=48'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 84*48=4032, Resulting Numbers: [4032] 4032,83 unequal: No Solution Exploring Operation: 84+48=132, Resulting Numbers: [132] 132,83 unequal: No Solution Moving to Node #0,0,3 Current State: 83:[87, 51], Operations: ['55+80=135', '135-84=51'] Exploring Operation: 87-51=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 87*51=4437, Resulting Numbers: [4437] 4437,83 unequal: No Solution Exploring Operation: 87+51=138, Resulting Numbers: [138] 138,83 unequal: No Solution Moving to Node #0,0,1 Current State: 83:[135, 3], Operations: ['55+80=135', '87-84=3'] Exploring Operation: 135/3=45, Resulting Numbers: [45] 45,83 unequal: No Solution Exploring Operation: 135*3=405, Resulting Numbers: [405] 405,83 unequal: No Solution Exploring Operation: 135+3=138, Resulting Numbers: [138] 138,83 unequal: No Solution Exploring Operation: 135-3=132, Resulting Numbers: [132] 132,83 unequal: No Solution Moving to Node #0,0,2 Current State: 83:[87, 219], Operations: ['55+80=135', '84+135=219'] Exploring Operation: 219-87=132, Resulting Numbers: [132] 132,83 unequal: No Solution Exploring Operation: 87*219=19053, Resulting Numbers: [19053] 19053,83 unequal: No Solution Exploring Operation: 87+219=306, Resulting Numbers: [306] 306,83 unequal: No Solution Moving to Node #0,0,4 Current State: 83:[135, 171], Operations: ['55+80=135', '84+87=171'] Exploring Operation: 135+171=306, Resulting Numbers: [306] 306,83 unequal: No Solution Exploring Operation: 135*171=23085, Resulting Numbers: [23085] 23085,83 unequal: No Solution Exploring Operation: 171-135=36, Resulting Numbers: [36] 36,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 83:[87, 80, 29], Operations: ['84-55=29'] Exploring Operation: 87/29=3, Resulting Numbers: [80, 3] Generated Node #0,2,0: 83:[80, 3] Operation: 87/29=3 Exploring Operation: 87-29=58, Resulting Numbers: [80, 58] Generated Node #0,2,1: 83:[80, 58] Operation: 87-29=58 Exploring Operation: 80-29=51, Resulting Numbers: [87, 51] Generated Node #0,2,2: 83:[87, 51] Operation: 80-29=51 Exploring Operation: 87+29=116, Resulting Numbers: [80, 116] Generated Node #0,2,3: 83:[80, 116] Operation: 87+29=116 Exploring Operation: 80+29=109, Resulting Numbers: [87, 109] Generated Node #0,2,4: 83:[87, 109] Operation: 80+29=109 Moving to Node #0,2,1 Current State: 83:[80, 58], Operations: ['84-55=29', '87-29=58'] Exploring Operation: 80+58=138, Resulting Numbers: [138] 138,83 unequal: No Solution Exploring Operation: 80-58=22, Resulting Numbers: [22] 22,83 unequal: No Solution Exploring Operation: 80*58=4640, Resulting Numbers: [4640] 4640,83 unequal: No Solution Moving to Node #0,2,4 Current State: 83:[87, 109], Operations: ['84-55=29', '80+29=109'] Exploring Operation: 87+109=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 87*109=9483, Resulting Numbers: [9483] 9483,83 unequal: No Solution Exploring Operation: 109-87=22, Resulting Numbers: [22] 22,83 unequal: No Solution Moving to Node #0,2,2 Current State: 83:[87, 51], Operations: ['84-55=29', '80-29=51'] Exploring Operation: 87+51=138, Resulting Numbers: [138] 138,83 unequal: No Solution Exploring Operation: 87-51=36, Resulting Numbers: [36] 36,83 unequal: No Solution Exploring Operation: 87*51=4437, Resulting Numbers: [4437] 4437,83 unequal: No Solution Moving to Node #0,2,3 Current State: 83:[80, 116], Operations: ['84-55=29', '87+29=116'] Exploring Operation: 80*116=9280, Resulting Numbers: [9280] 9280,83 unequal: No Solution Exploring Operation: 80+116=196, Resulting Numbers: [196] 196,83 unequal: No Solution Exploring Operation: 116-80=36, Resulting Numbers: [36] 36,83 unequal: No Solution Moving to Node #0,2,0 Current State: 83:[80, 3], Operations: ['84-55=29', '87/29=3'] Exploring Operation: 80*3=240, Resulting Numbers: [240] 240,83 unequal: No Solution Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Moving to Node #0 Current State: 83:[84, 55, 87, 80], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [87, 80, 29] Generated Node #0,2: 83:[87, 80, 29] Operation: 84-55=29 Moving to Node #0,2 Current State: 83:[87, 80, 29], Operations: ['84-55=29'] Exploring Operation: 87/29=3, Resulting Numbers: [80, 3] Generated Node #0,2,0: 83:[80, 3] Operation: 87/29=3 Moving to Node #0,2,0 Current State: 83:[80, 3], Operations: ['84-55=29', '87/29=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Exit Sub Search at level 1
0.938368
hs_5
mult_heuristic
[ 43, 96, 32, 25 ]
46
[ "96-43=53", "32-25=7", "53-7=46" ]
Current State: 46:[43, 96, 32, 25], Operations: [] Exploring Operation: 96-43=53, Resulting Numbers: [32, 25, 53] Generated Node #2: [32, 25, 53] from Operation: 96-43=53 Current State: 46:[32, 25, 53], Operations: ['96-43=53'] Exploring Operation: 32-25=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 32-25=7 Current State: 46:[53, 7], Operations: ['96-43=53', '32-25=7'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[43, 96, 32, 25], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [43, 25, 3] Generated Node #0,0: 46:[43, 25, 3] Operation: 96/32=3 Exploring Operation: 96-25=71, Resulting Numbers: [43, 32, 71] Generated Node #0,1: 46:[43, 32, 71] Operation: 96-25=71 Exploring Operation: 96-43=53, Resulting Numbers: [32, 25, 53] Generated Node #0,2: 46:[32, 25, 53] Operation: 96-43=53 Exploring Operation: 96-32=64, Resulting Numbers: [43, 25, 64] Generated Node #0,3: 46:[43, 25, 64] Operation: 96-32=64 Moving to Node #0,0 Current State: 46:[43, 25, 3], Operations: ['96/32=3'] Exploring Operation: 25-3=22, Resulting Numbers: [43, 22] Generated Node #0,0,0: 46:[43, 22] Operation: 25-3=22 Exploring Operation: 43+3=46, Resulting Numbers: [25, 46] Generated Node #0,0,1: 46:[25, 46] Operation: 43+3=46 Exploring Operation: 43-25=18, Resulting Numbers: [3, 18] Generated Node #0,0,2: 46:[3, 18] Operation: 43-25=18 Exploring Operation: 43-3=40, Resulting Numbers: [25, 40] Generated Node #0,0,3: 46:[25, 40] Operation: 43-3=40 Moving to Node #0,2 Current State: 46:[32, 25, 53], Operations: ['96-43=53'] Exploring Operation: 53-32=21, Resulting Numbers: [25, 21] Generated Node #0,2,0: 46:[25, 21] Operation: 53-32=21 Exploring Operation: 32-25=7, Resulting Numbers: [53, 7] Generated Node #0,2,1: 46:[53, 7] Operation: 32-25=7 Exploring Operation: 32+25=57, Resulting Numbers: [53, 57] Generated Node #0,2,2: 46:[53, 57] Operation: 32+25=57 Exploring Operation: 53-25=28, Resulting Numbers: [32, 28] Generated Node #0,2,3: 46:[32, 28] Operation: 53-25=28 Moving to Node #0,3 Current State: 46:[43, 25, 64], Operations: ['96-32=64'] Exploring Operation: 43-25=18, Resulting Numbers: [64, 18] Generated Node #0,3,0: 46:[64, 18] Operation: 43-25=18 Exploring Operation: 43+25=68, Resulting Numbers: [64, 68] Generated Node #0,3,1: 46:[64, 68] Operation: 43+25=68 Exploring Operation: 64-43=21, Resulting Numbers: [25, 21] Generated Node #0,3,2: 46:[25, 21] Operation: 64-43=21 Exploring Operation: 64-25=39, Resulting Numbers: [43, 39] Generated Node #0,3,3: 46:[43, 39] Operation: 64-25=39 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 46:[25, 21], Operations: ['96-32=64', '64-43=21'] Exploring Operation: 25*21=525, Resulting Numbers: [525] 525,46 unequal: No Solution Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[43, 96, 32, 25], Operations: [] Exploring Operation: 96-32=64, Resulting Numbers: [43, 25, 64] Generated Node #0,3: 46:[43, 25, 64] Operation: 96-32=64 Moving to Node #0,3 Current State: 46:[43, 25, 64], Operations: ['96-32=64'] Exploring Operation: 64-43=21, Resulting Numbers: [25, 21] Generated Node #0,3,2: 46:[25, 21] Operation: 64-43=21 Moving to Node #0,3,2 Current State: 46:[25, 21], Operations: ['96-32=64', '64-43=21'] Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_4
mult_heuristic
[ 16, 80, 29, 73 ]
52
[ "16+80=96", "73-29=44", "96-44=52" ]
Current State: 52:[16, 80, 29, 73], Operations: [] Exploring Operation: 16+80=96, Resulting Numbers: [29, 73, 96] Generated Node #2: [29, 73, 96] from Operation: 16+80=96 Current State: 52:[29, 73, 96], Operations: ['16+80=96'] Exploring Operation: 73-29=44, Resulting Numbers: [96, 44] Generated Node #3: [96, 44] from Operation: 73-29=44 Current State: 52:[96, 44], Operations: ['16+80=96', '73-29=44'] Exploring Operation: 96-44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[16, 80, 29, 73], Operations: [] Exploring Operation: 80/16=5, Resulting Numbers: [29, 73, 5] Generated Node #0,0: 52:[29, 73, 5] Operation: 80/16=5 Exploring Operation: 80-16=64, Resulting Numbers: [29, 73, 64] Generated Node #0,1: 52:[29, 73, 64] Operation: 80-16=64 Exploring Operation: 80-73=7, Resulting Numbers: [16, 29, 7] Generated Node #0,2: 52:[16, 29, 7] Operation: 80-73=7 Exploring Operation: 80-29=51, Resulting Numbers: [16, 73, 51] Generated Node #0,3: 52:[16, 73, 51] Operation: 80-29=51 Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[16, 29, 7], Operations: ['80-73=7'] Exploring Operation: 16-7=9, Resulting Numbers: [29, 9] Generated Node #0,2,0: 52:[29, 9] Operation: 16-7=9 Exploring Operation: 29-16=13, Resulting Numbers: [7, 13] Generated Node #0,2,1: 52:[7, 13] Operation: 29-16=13 Exploring Operation: 29-7=22, Resulting Numbers: [16, 22] Generated Node #0,2,2: 52:[16, 22] Operation: 29-7=22 Exploring Operation: 16+7=23, Resulting Numbers: [29, 23] Generated Node #0,2,3: 52:[29, 23] Operation: 16+7=23 Moving to Node #0,2,1 Current State: 52:[7, 13], Operations: ['80-73=7', '29-16=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,52 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 7+13=20, Resulting Numbers: [20] 20,52 unequal: No Solution Moving to Node #0,2,3 Current State: 52:[29, 23], Operations: ['80-73=7', '16+7=23'] Exploring Operation: 29-23=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 29+23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[16, 80, 29, 73], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [16, 29, 7] Generated Node #0,2: 52:[16, 29, 7] Operation: 80-73=7 Moving to Node #0,2 Current State: 52:[16, 29, 7], Operations: ['80-73=7'] Exploring Operation: 16+7=23, Resulting Numbers: [29, 23] Generated Node #0,2,3: 52:[29, 23] Operation: 16+7=23 Moving to Node #0,2,3 Current State: 52:[29, 23], Operations: ['80-73=7', '16+7=23'] Exploring Operation: 29+23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
sum_heuristic
[ 17, 20, 58, 30 ]
48
[ "20-17=3", "30/3=10", "58-10=48" ]
Current State: 48:[17, 20, 58, 30], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [58, 30, 3] Generated Node #2: [58, 30, 3] from Operation: 20-17=3 Current State: 48:[58, 30, 3], Operations: ['20-17=3'] Exploring Operation: 30/3=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 30/3=10 Current State: 48:[58, 10], Operations: ['20-17=3', '30/3=10'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[17, 20, 58, 30], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [17, 20, 28] Generated Node #0,0: 48:[17, 20, 28] Operation: 58-30=28 Exploring Operation: 30-20=10, Resulting Numbers: [17, 58, 10] Generated Node #0,1: 48:[17, 58, 10] Operation: 30-20=10 Exploring Operation: 17+30=47, Resulting Numbers: [20, 58, 47] Generated Node #0,2: 48:[20, 58, 47] Operation: 17+30=47 Exploring Operation: 20+30=50, Resulting Numbers: [17, 58, 50] Generated Node #0,3: 48:[17, 58, 50] Operation: 20+30=50 Exploring Operation: 30-17=13, Resulting Numbers: [20, 58, 13] Generated Node #0,4: 48:[20, 58, 13] Operation: 30-17=13 Moving to Node #0,0 Current State: 48:[17, 20, 28], Operations: ['58-30=28'] Exploring Operation: 17+28=45, Resulting Numbers: [20, 45] Generated Node #0,0,0: 48:[20, 45] Operation: 17+28=45 Exploring Operation: 28-20=8, Resulting Numbers: [17, 8] Generated Node #0,0,1: 48:[17, 8] Operation: 28-20=8 Exploring Operation: 20-17=3, Resulting Numbers: [28, 3] Generated Node #0,0,2: 48:[28, 3] Operation: 20-17=3 Exploring Operation: 20+28=48, Resulting Numbers: [17, 48] Generated Node #0,0,3: 48:[17, 48] Operation: 20+28=48 Exploring Operation: 28-17=11, Resulting Numbers: [20, 11] Generated Node #0,0,4: 48:[20, 11] Operation: 28-17=11 Moving to Node #0,3 Current State: 48:[17, 58, 50], Operations: ['20+30=50'] Exploring Operation: 50-17=33, Resulting Numbers: [58, 33] Generated Node #0,3,0: 48:[58, 33] Operation: 50-17=33 Exploring Operation: 17+58=75, Resulting Numbers: [50, 75] Generated Node #0,3,1: 48:[50, 75] Operation: 17+58=75 Exploring Operation: 58-50=8, Resulting Numbers: [17, 8] Generated Node #0,3,2: 48:[17, 8] Operation: 58-50=8 Exploring Operation: 17+50=67, Resulting Numbers: [58, 67] Generated Node #0,3,3: 48:[58, 67] Operation: 17+50=67 Exploring Operation: 58-17=41, Resulting Numbers: [50, 41] Generated Node #0,3,4: 48:[50, 41] Operation: 58-17=41 Moving to Node #0,1 Current State: 48:[17, 58, 10], Operations: ['30-20=10'] Exploring Operation: 17-10=7, Resulting Numbers: [58, 7] Generated Node #0,1,0: 48:[58, 7] Operation: 17-10=7 Exploring Operation: 58-17=41, Resulting Numbers: [10, 41] Generated Node #0,1,1: 48:[10, 41] Operation: 58-17=41 Exploring Operation: 58-10=48, Resulting Numbers: [17, 48] Generated Node #0,1,2: 48:[17, 48] Operation: 58-10=48 Exploring Operation: 17+10=27, Resulting Numbers: [58, 27] Generated Node #0,1,3: 48:[58, 27] Operation: 17+10=27 Exploring Operation: 58+10=68, Resulting Numbers: [17, 68] Generated Node #0,1,4: 48:[17, 68] Operation: 58+10=68 Moving to Node #0,2 Current State: 48:[20, 58, 47], Operations: ['17+30=47'] Exploring Operation: 20+47=67, Resulting Numbers: [58, 67] Generated Node #0,2,0: 48:[58, 67] Operation: 20+47=67 Exploring Operation: 58-20=38, Resulting Numbers: [47, 38] Generated Node #0,2,1: 48:[47, 38] Operation: 58-20=38 Exploring Operation: 58-47=11, Resulting Numbers: [20, 11] Generated Node #0,2,2: 48:[20, 11] Operation: 58-47=11 Exploring Operation: 20+58=78, Resulting Numbers: [47, 78] Generated Node #0,2,3: 48:[47, 78] Operation: 20+58=78 Exploring Operation: 47-20=27, Resulting Numbers: [58, 27] Generated Node #0,2,4: 48:[58, 27] Operation: 47-20=27 Moving to Node #0,4 Current State: 48:[20, 58, 13], Operations: ['30-17=13'] Exploring Operation: 20+13=33, Resulting Numbers: [58, 33] Generated Node #0,4,0: 48:[58, 33] Operation: 20+13=33 Exploring Operation: 58-20=38, Resulting Numbers: [13, 38] Generated Node #0,4,1: 48:[13, 38] Operation: 58-20=38 Exploring Operation: 20-13=7, Resulting Numbers: [58, 7] Generated Node #0,4,2: 48:[58, 7] Operation: 20-13=7 Exploring Operation: 58-13=45, Resulting Numbers: [20, 45] Generated Node #0,4,3: 48:[20, 45] Operation: 58-13=45 Exploring Operation: 58+13=71, Resulting Numbers: [20, 71] Generated Node #0,4,4: 48:[20, 71] Operation: 58+13=71 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 48:[20, 45], Operations: ['30-17=13', '58-13=45'] Exploring Operation: 20*45=900, Resulting Numbers: [900] 900,48 unequal: No Solution Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,48 unequal: No Solution Exploring Operation: 45-20=25, Resulting Numbers: [25] 25,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 48:[13, 38], Operations: ['30-17=13', '58-20=38'] Exploring Operation: 13+38=51, Resulting Numbers: [51] 51,48 unequal: No Solution Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 13*38=494, Resulting Numbers: [494] 494,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 48:[58, 7], Operations: ['30-17=13', '20-13=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,48 unequal: No Solution Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,48 unequal: No Solution Exploring Operation: 58*7=406, Resulting Numbers: [406] 406,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 48:[58, 33], Operations: ['30-17=13', '20+13=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 58+33=91, Resulting Numbers: [91] 91,48 unequal: No Solution Exploring Operation: 58*33=1914, Resulting Numbers: [1914] 1914,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 48:[20, 71], Operations: ['30-17=13', '58+13=71'] Exploring Operation: 20+71=91, Resulting Numbers: [91] 91,48 unequal: No Solution Exploring Operation: 71-20=51, Resulting Numbers: [51] 51,48 unequal: No Solution Exploring Operation: 20*71=1420, Resulting Numbers: [1420] 1420,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 48:[17, 8], Operations: ['58-30=28', '28-20=8'] Exploring Operation: 17-8=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 17*8=136, Resulting Numbers: [136] 136,48 unequal: No Solution Moving to Node #0,3,2 Current State: 48:[17, 8], Operations: ['20+30=50', '58-50=8'] Exploring Operation: 17*8=136, Resulting Numbers: [136] 136,48 unequal: No Solution Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 17-8=9, Resulting Numbers: [9] 9,48 unequal: No Solution Moving to Node #0,0,3 Current State: 48:[17, 48], Operations: ['58-30=28', '20+28=48'] Exploring Operation: 17*48=816, Resulting Numbers: [816] 816,48 unequal: No Solution Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,48 unequal: No Solution Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,48 unequal: No Solution Moving to Node #0,1,2 Current State: 48:[17, 48], Operations: ['30-20=10', '58-10=48'] Exploring Operation: 17*48=816, Resulting Numbers: [816] 816,48 unequal: No Solution Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,48 unequal: No Solution Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,48 unequal: No Solution Moving to Node #0,0,2 Current State: 48:[28, 3], Operations: ['58-30=28', '20-17=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,48 unequal: No Solution Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,48 unequal: No Solution Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,48 unequal: No Solution Moving to Node #0,0,4 Current State: 48:[20, 11], Operations: ['58-30=28', '28-17=11'] Exploring Operation: 20*11=220, Resulting Numbers: [220] 220,48 unequal: No Solution Exploring Operation: 20-11=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 20+11=31, Resulting Numbers: [31] 31,48 unequal: No Solution Moving to Node #0,2,2 Current State: 48:[20, 11], Operations: ['17+30=47', '58-47=11'] Exploring Operation: 20+11=31, Resulting Numbers: [31] 31,48 unequal: No Solution Exploring Operation: 20-11=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 20*11=220, Resulting Numbers: [220] 220,48 unequal: No Solution Moving to Node #0,0,0 Current State: 48:[20, 45], Operations: ['58-30=28', '17+28=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,48 unequal: No Solution Exploring Operation: 20*45=900, Resulting Numbers: [900] 900,48 unequal: No Solution Exploring Operation: 45-20=25, Resulting Numbers: [25] 25,48 unequal: No Solution Moving to Node #0,3,4 Current State: 48:[50, 41], Operations: ['20+30=50', '58-17=41'] Exploring Operation: 50-41=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 50+41=91, Resulting Numbers: [91] 91,48 unequal: No Solution Exploring Operation: 50*41=2050, Resulting Numbers: [2050] 2050,48 unequal: No Solution Moving to Node #0,1,1 Current State: 48:[10, 41], Operations: ['30-20=10', '58-17=41'] Exploring Operation: 10+41=51, Resulting Numbers: [51] 51,48 unequal: No Solution Exploring Operation: 10*41=410, Resulting Numbers: [410] 410,48 unequal: No Solution Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,48 unequal: No Solution Moving to Node #0,1,0 Current State: 48:[58, 7], Operations: ['30-20=10', '17-10=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,48 unequal: No Solution Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,48 unequal: No Solution Exploring Operation: 58*7=406, Resulting Numbers: [406] 406,48 unequal: No Solution Moving to Node #0,2,1 Current State: 48:[47, 38], Operations: ['17+30=47', '58-20=38'] Exploring Operation: 47+38=85, Resulting Numbers: [85] 85,48 unequal: No Solution Exploring Operation: 47-38=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 47*38=1786, Resulting Numbers: [1786] 1786,48 unequal: No Solution Moving to Node #0,1,3 Current State: 48:[58, 27], Operations: ['30-20=10', '17+10=27'] Exploring Operation: 58+27=85, Resulting Numbers: [85] 85,48 unequal: No Solution Exploring Operation: 58*27=1566, Resulting Numbers: [1566] 1566,48 unequal: No Solution Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,48 unequal: No Solution Moving to Node #0,2,4 Current State: 48:[58, 27], Operations: ['17+30=47', '47-20=27'] Exploring Operation: 58+27=85, Resulting Numbers: [85] 85,48 unequal: No Solution Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,48 unequal: No Solution Exploring Operation: 58*27=1566, Resulting Numbers: [1566] 1566,48 unequal: No Solution Moving to Node #0,3,0 Current State: 48:[58, 33], Operations: ['20+30=50', '50-17=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 58+33=91, Resulting Numbers: [91] 91,48 unequal: No Solution Exploring Operation: 58*33=1914, Resulting Numbers: [1914] 1914,48 unequal: No Solution Moving to Node #0,1,4 Current State: 48:[17, 68], Operations: ['30-20=10', '58+10=68'] Exploring Operation: 17*68=1156, Resulting Numbers: [1156] 1156,48 unequal: No Solution Exploring Operation: 17+68=85, Resulting Numbers: [85] 85,48 unequal: No Solution Exploring Operation: 68-17=51, Resulting Numbers: [51] 51,48 unequal: No Solution Exploring Operation: 68/17=4, Resulting Numbers: [4] 4,48 unequal: No Solution Moving to Node #0,2,0 Current State: 48:[58, 67], Operations: ['17+30=47', '20+47=67'] Exploring Operation: 58+67=125, Resulting Numbers: [125] 125,48 unequal: No Solution Exploring Operation: 67-58=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 58*67=3886, Resulting Numbers: [3886] 3886,48 unequal: No Solution Moving to Node #0,3,1 Current State: 48:[50, 75], Operations: ['20+30=50', '17+58=75'] Exploring Operation: 75-50=25, Resulting Numbers: [25] 25,48 unequal: No Solution Exploring Operation: 50+75=125, Resulting Numbers: [125] 125,48 unequal: No Solution Exploring Operation: 50*75=3750, Resulting Numbers: [3750] 3750,48 unequal: No Solution Moving to Node #0,3,3 Current State: 48:[58, 67], Operations: ['20+30=50', '17+50=67'] Exploring Operation: 58+67=125, Resulting Numbers: [125] 125,48 unequal: No Solution Exploring Operation: 67-58=9, Resulting Numbers: [9] 9,48 unequal: No Solution Exploring Operation: 58*67=3886, Resulting Numbers: [3886] 3886,48 unequal: No Solution Moving to Node #0,2,3 Current State: 48:[47, 78], Operations: ['17+30=47', '20+58=78'] Exploring Operation: 47*78=3666, Resulting Numbers: [3666] 3666,48 unequal: No Solution Exploring Operation: 78-47=31, Resulting Numbers: [31] 31,48 unequal: No Solution Exploring Operation: 47+78=125, Resulting Numbers: [125] 125,48 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 22, 68, 32, 3 ]
64
[ "22*3=66", "68-66=2", "32*2=64" ]
Current State: 64:[22, 68, 32, 3], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [68, 32, 66] Generated Node #2: [68, 32, 66] from Operation: 22*3=66 Current State: 64:[68, 32, 66], Operations: ['22*3=66'] Exploring Operation: 68-66=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 68-66=2 Current State: 64:[32, 2], Operations: ['22*3=66', '68-66=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[22, 68, 32, 3], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [68, 32, 66] Generated Node #0,0: 64:[68, 32, 66] Operation: 22*3=66 Exploring Operation: 32-22=10, Resulting Numbers: [68, 3, 10] Generated Node #0,1: 64:[68, 3, 10] Operation: 32-22=10 Moving to Node #0,0 Current State: 64:[68, 32, 66], Operations: ['22*3=66'] Exploring Operation: 68-32=36, Resulting Numbers: [66, 36] Generated Node #0,0,0: 64:[66, 36] Operation: 68-32=36 Exploring Operation: 68-66=2, Resulting Numbers: [32, 2] Generated Node #0,0,1: 64:[32, 2] Operation: 68-66=2 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 64:[32, 2], Operations: ['22*3=66', '68-66=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[22, 68, 32, 3], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [68, 32, 66] Generated Node #0,0: 64:[68, 32, 66] Operation: 22*3=66 Moving to Node #0,0 Current State: 64:[68, 32, 66], Operations: ['22*3=66'] Exploring Operation: 68-66=2, Resulting Numbers: [32, 2] Generated Node #0,0,1: 64:[32, 2] Operation: 68-66=2 Moving to Node #0,0,1 Current State: 64:[32, 2], Operations: ['22*3=66', '68-66=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 8, 17, 55, 37 ]
83
[ "17-8=9", "55+37=92", "92-9=83" ]
Current State: 83:[8, 17, 55, 37], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [55, 37, 9] Generated Node #2: [55, 37, 9] from Operation: 17-8=9 Current State: 83:[55, 37, 9], Operations: ['17-8=9'] Exploring Operation: 55+37=92, Resulting Numbers: [9, 92] Generated Node #3: [9, 92] from Operation: 55+37=92 Current State: 83:[9, 92], Operations: ['17-8=9', '55+37=92'] Exploring Operation: 92-9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[8, 17, 55, 37], Operations: [] Exploring Operation: 8+17=25, Resulting Numbers: [55, 37, 25] Generated Node #0,0: 83:[55, 37, 25] Operation: 8+17=25 Exploring Operation: 8*17=136, Resulting Numbers: [55, 37, 136] Generated Node #0,1: 83:[55, 37, 136] Operation: 8*17=136 Moving to Node #0,1 Current State: 83:[55, 37, 136], Operations: ['8*17=136'] Exploring Operation: 136-37=99, Resulting Numbers: [55, 99] Generated Node #0,1,0: 83:[55, 99] Operation: 136-37=99 Exploring Operation: 136-55=81, Resulting Numbers: [37, 81] Generated Node #0,1,1: 83:[37, 81] Operation: 136-55=81 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 83:[55, 99], Operations: ['8*17=136', '136-37=99'] Exploring Operation: 99-55=44, Resulting Numbers: [44] 44,83 unequal: No Solution Exploring Operation: 55+99=154, Resulting Numbers: [154] 154,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 83:[37, 81], Operations: ['8*17=136', '136-55=81'] Exploring Operation: 37+81=118, Resulting Numbers: [118] 118,83 unequal: No Solution Exploring Operation: 81-37=44, Resulting Numbers: [44] 44,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 83:[55, 37, 25], Operations: ['8+17=25'] Exploring Operation: 55+25=80, Resulting Numbers: [37, 80] Generated Node #0,0,0: 83:[37, 80] Operation: 55+25=80 Exploring Operation: 37+25=62, Resulting Numbers: [55, 62] Generated Node #0,0,1: 83:[55, 62] Operation: 37+25=62 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 83:[37, 80], Operations: ['8+17=25', '55+25=80'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,83 unequal: No Solution Exploring Operation: 37+80=117, Resulting Numbers: [117] 117,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 83:[55, 62], Operations: ['8+17=25', '37+25=62'] Exploring Operation: 62-55=7, Resulting Numbers: [7] 7,83 unequal: No Solution Exploring Operation: 55+62=117, Resulting Numbers: [117] 117,83 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
[ 21, 38, 6, 24 ]
89
[ "21+38=59", "6+24=30", "59+30=89" ]
Current State: 89:[21, 38, 6, 24], Operations: [] Exploring Operation: 21+38=59, Resulting Numbers: [6, 24, 59] Generated Node #2: [6, 24, 59] from Operation: 21+38=59 Current State: 89:[6, 24, 59], Operations: ['21+38=59'] Exploring Operation: 6+24=30, Resulting Numbers: [59, 30] Generated Node #3: [59, 30] from Operation: 6+24=30 Current State: 89:[59, 30], Operations: ['21+38=59', '6+24=30'] Exploring Operation: 59+30=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[21, 38, 6, 24], Operations: [] Exploring Operation: 6*24=144, Resulting Numbers: [21, 38, 144] Generated Node #0,0: 89:[21, 38, 144] Operation: 6*24=144 Exploring Operation: 21*6=126, Resulting Numbers: [38, 24, 126] Generated Node #0,1: 89:[38, 24, 126] Operation: 21*6=126 Moving to Node #0,1 Current State: 89:[38, 24, 126], Operations: ['21*6=126'] Exploring Operation: 126-24=102, Resulting Numbers: [38, 102] Generated Node #0,1,0: 89:[38, 102] Operation: 126-24=102 Exploring Operation: 38+24=62, Resulting Numbers: [126, 62] Generated Node #0,1,1: 89:[126, 62] Operation: 38+24=62 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 89:[38, 102], Operations: ['21*6=126', '126-24=102'] Exploring Operation: 38+102=140, Resulting Numbers: [140] 140,89 unequal: No Solution Exploring Operation: 102-38=64, Resulting Numbers: [64] 64,89 unequal: No Solution No 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: 89:[126, 62], Operations: ['21*6=126', '38+24=62'] Exploring Operation: 126+62=188, Resulting Numbers: [188] 188,89 unequal: No Solution Exploring Operation: 126-62=64, Resulting Numbers: [64] 64,89 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: 89:[21, 38, 144], Operations: ['6*24=144'] Exploring Operation: 144-21=123, Resulting Numbers: [38, 123] Generated Node #0,0,0: 89:[38, 123] Operation: 144-21=123 Exploring Operation: 21+38=59, Resulting Numbers: [144, 59] Generated Node #0,0,1: 89:[144, 59] Operation: 21+38=59 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 89:[38, 123], Operations: ['6*24=144', '144-21=123'] Exploring Operation: 38+123=161, Resulting Numbers: [161] 161,89 unequal: No Solution Exploring Operation: 123-38=85, Resulting Numbers: [85] 85,89 unequal: No Solution No 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: 89:[144, 59], Operations: ['6*24=144', '21+38=59'] Exploring Operation: 144+59=203, Resulting Numbers: [203] 203,89 unequal: No Solution Exploring Operation: 144-59=85, Resulting Numbers: [85] 85,89 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
[ 83, 32, 94, 48 ]
91
[ "83-32=51", "94+48=142", "142-51=91" ]
Current State: 91:[83, 32, 94, 48], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [94, 48, 51] Generated Node #2: [94, 48, 51] from Operation: 83-32=51 Current State: 91:[94, 48, 51], Operations: ['83-32=51'] Exploring Operation: 94+48=142, Resulting Numbers: [51, 142] Generated Node #3: [51, 142] from Operation: 94+48=142 Current State: 91:[51, 142], Operations: ['83-32=51', '94+48=142'] Exploring Operation: 142-51=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[83, 32, 94, 48], Operations: [] Exploring Operation: 48-32=16, Resulting Numbers: [83, 94, 16] Generated Node #0,0: 91:[83, 94, 16] Operation: 48-32=16 Exploring Operation: 83-48=35, Resulting Numbers: [32, 94, 35] Generated Node #0,1: 91:[32, 94, 35] Operation: 83-48=35 Exploring Operation: 94-83=11, Resulting Numbers: [32, 48, 11] Generated Node #0,2: 91:[32, 48, 11] Operation: 94-83=11 Exploring Operation: 32+48=80, Resulting Numbers: [83, 94, 80] Generated Node #0,3: 91:[83, 94, 80] Operation: 32+48=80 Moving to Node #0,0 Current State: 91:[83, 94, 16], Operations: ['48-32=16'] Exploring Operation: 83+16=99, Resulting Numbers: [94, 99] Generated Node #0,0,0: 91:[94, 99] Operation: 83+16=99 Exploring Operation: 83-16=67, Resulting Numbers: [94, 67] Generated Node #0,0,1: 91:[94, 67] Operation: 83-16=67 Exploring Operation: 94-83=11, Resulting Numbers: [16, 11] Generated Node #0,0,2: 91:[16, 11] Operation: 94-83=11 Exploring Operation: 94-16=78, Resulting Numbers: [83, 78] Generated Node #0,0,3: 91:[83, 78] Operation: 94-16=78 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 91:[16, 11], Operations: ['48-32=16', '94-83=11'] Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,91 unequal: No Solution Exploring Operation: 16-11=5, Resulting Numbers: [5] 5,91 unequal: No Solution Exploring Operation: 16*11=176, Resulting Numbers: [176] 176,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 91:[94, 99], Operations: ['48-32=16', '83+16=99'] Exploring Operation: 94+99=193, Resulting Numbers: [193] 193,91 unequal: No Solution Exploring Operation: 94*99=9306, Resulting Numbers: [9306] 9306,91 unequal: No Solution Exploring Operation: 99-94=5, Resulting Numbers: [5] 5,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 91:[83, 78], Operations: ['48-32=16', '94-16=78'] Exploring Operation: 83-78=5, Resulting Numbers: [5] 5,91 unequal: No Solution Exploring Operation: 83*78=6474, Resulting Numbers: [6474] 6474,91 unequal: No Solution Exploring Operation: 83+78=161, Resulting Numbers: [161] 161,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 91:[94, 67], Operations: ['48-32=16', '83-16=67'] Exploring Operation: 94-67=27, Resulting Numbers: [27] 27,91 unequal: No Solution Exploring Operation: 94*67=6298, Resulting Numbers: [6298] 6298,91 unequal: No Solution Exploring Operation: 94+67=161, Resulting Numbers: [161] 161,91 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: 91:[83, 94, 80], Operations: ['32+48=80'] Exploring Operation: 83-80=3, Resulting Numbers: [94, 3] Generated Node #0,3,0: 91:[94, 3] Operation: 83-80=3 Exploring Operation: 94-80=14, Resulting Numbers: [83, 14] Generated Node #0,3,1: 91:[83, 14] Operation: 94-80=14 Exploring Operation: 94-83=11, Resulting Numbers: [80, 11] Generated Node #0,3,2: 91:[80, 11] Operation: 94-83=11 Exploring Operation: 83+80=163, Resulting Numbers: [94, 163] Generated Node #0,3,3: 91:[94, 163] Operation: 83+80=163 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 91:[94, 3], Operations: ['32+48=80', '83-80=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,91 unequal: No Solution Exploring Operation: 94*3=282, Resulting Numbers: [282] 282,91 unequal: No Solution Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[83, 32, 94, 48], Operations: [] Exploring Operation: 32+48=80, Resulting Numbers: [83, 94, 80] Generated Node #0,3: 91:[83, 94, 80] Operation: 32+48=80 Moving to Node #0,3 Current State: 91:[83, 94, 80], Operations: ['32+48=80'] Exploring Operation: 83-80=3, Resulting Numbers: [94, 3] Generated Node #0,3,0: 91:[94, 3] Operation: 83-80=3 Moving to Node #0,3,0 Current State: 91:[94, 3], Operations: ['32+48=80', '83-80=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_4
mult_heuristic
[ 64, 2, 61, 32 ]
90
[ "64-61=3", "32-2=30", "3*30=90" ]
Current State: 90:[64, 2, 61, 32], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [2, 32, 3] Generated Node #2: [2, 32, 3] from Operation: 64-61=3 Current State: 90:[2, 32, 3], Operations: ['64-61=3'] Exploring Operation: 32-2=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 32-2=30 Current State: 90:[3, 30], Operations: ['64-61=3', '32-2=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[64, 2, 61, 32], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [2, 61, 2] Generated Node #0,0: 90:[2, 61, 2] Operation: 64/32=2 Exploring Operation: 64-61=3, Resulting Numbers: [2, 32, 3] Generated Node #0,1: 90:[2, 32, 3] Operation: 64-61=3 Start Sub Search at level 1: Moving to Node #0,1 Current State: 90:[2, 32, 3], Operations: ['64-61=3'] Exploring Operation: 32/2=16, Resulting Numbers: [3, 16] Generated Node #0,1,0: 90:[3, 16] Operation: 32/2=16 Exploring Operation: 32-2=30, Resulting Numbers: [3, 30] Generated Node #0,1,1: 90:[3, 30] Operation: 32-2=30 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 90:[3, 30], Operations: ['64-61=3', '32-2=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[64, 2, 61, 32], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [2, 32, 3] Generated Node #0,1: 90:[2, 32, 3] Operation: 64-61=3 Moving to Node #0,1 Current State: 90:[2, 32, 3], Operations: ['64-61=3'] Exploring Operation: 32-2=30, Resulting Numbers: [3, 30] Generated Node #0,1,1: 90:[3, 30] Operation: 32-2=30 Moving to Node #0,1,1 Current State: 90:[3, 30], Operations: ['64-61=3', '32-2=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 96, 22, 37, 71 ]
73
[ "96-22=74", "74/37=2", "71+2=73" ]
Current State: 73:[96, 22, 37, 71], Operations: [] Exploring Operation: 96-22=74, Resulting Numbers: [37, 71, 74] Generated Node #2: [37, 71, 74] from Operation: 96-22=74 Current State: 73:[37, 71, 74], Operations: ['96-22=74'] Exploring Operation: 74/37=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 74/37=2 Current State: 73:[71, 2], Operations: ['96-22=74', '74/37=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[96, 22, 37, 71], Operations: [] Exploring Operation: 22+37=59, Resulting Numbers: [96, 71, 59] Generated Node #0,0: 73:[96, 71, 59] Operation: 22+37=59 Exploring Operation: 96-22=74, Resulting Numbers: [37, 71, 74] Generated Node #0,1: 73:[37, 71, 74] Operation: 96-22=74 Exploring Operation: 96-37=59, Resulting Numbers: [22, 71, 59] Generated Node #0,2: 73:[22, 71, 59] Operation: 96-37=59 Exploring Operation: 22+71=93, Resulting Numbers: [96, 37, 93] Generated Node #0,3: 73:[96, 37, 93] Operation: 22+71=93 Start Sub Search at level 1: Moving to Node #0,0 Current State: 73:[96, 71, 59], Operations: ['22+37=59'] Exploring Operation: 96+59=155, Resulting Numbers: [71, 155] Generated Node #0,0,0: 73:[71, 155] Operation: 96+59=155 Exploring Operation: 96-71=25, Resulting Numbers: [59, 25] Generated Node #0,0,1: 73:[59, 25] Operation: 96-71=25 Exploring Operation: 96-59=37, Resulting Numbers: [71, 37] Generated Node #0,0,2: 73:[71, 37] Operation: 96-59=37 Exploring Operation: 71+59=130, Resulting Numbers: [96, 130] Generated Node #0,0,3: 73:[96, 130] Operation: 71+59=130 Moving to Node #0,0,2 Current State: 73:[71, 37], Operations: ['22+37=59', '96-59=37'] Exploring Operation: 71*37=2627, Resulting Numbers: [2627] 2627,73 unequal: No Solution Exploring Operation: 71+37=108, Resulting Numbers: [108] 108,73 unequal: No Solution Exploring Operation: 71-37=34, Resulting Numbers: [34] 34,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[59, 25], Operations: ['22+37=59', '96-71=25'] Exploring Operation: 59*25=1475, Resulting Numbers: [1475] 1475,73 unequal: No Solution Exploring Operation: 59+25=84, Resulting Numbers: [84] 84,73 unequal: No Solution Exploring Operation: 59-25=34, Resulting Numbers: [34] 34,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[96, 130], Operations: ['22+37=59', '71+59=130'] Exploring Operation: 96+130=226, Resulting Numbers: [226] 226,73 unequal: No Solution Exploring Operation: 130-96=34, Resulting Numbers: [34] 34,73 unequal: No Solution Exploring Operation: 96*130=12480, Resulting Numbers: [12480] 12480,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[71, 155], Operations: ['22+37=59', '96+59=155'] Exploring Operation: 71*155=11005, Resulting Numbers: [11005] 11005,73 unequal: No Solution Exploring Operation: 155-71=84, Resulting Numbers: [84] 84,73 unequal: No Solution Exploring Operation: 71+155=226, Resulting Numbers: [226] 226,73 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 #0,1 Current State: 73:[37, 71, 74], Operations: ['96-22=74'] Exploring Operation: 74-37=37, Resulting Numbers: [71, 37] Generated Node #0,1,0: 73:[71, 37] Operation: 74-37=37 Exploring Operation: 37+71=108, Resulting Numbers: [74, 108] Generated Node #0,1,1: 73:[74, 108] Operation: 37+71=108 Exploring Operation: 37+74=111, Resulting Numbers: [71, 111] Generated Node #0,1,2: 73:[71, 111] Operation: 37+74=111 Exploring Operation: 71-37=34, Resulting Numbers: [74, 34] Generated Node #0,1,3: 73:[74, 34] Operation: 71-37=34 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 73:[74, 108], Operations: ['96-22=74', '37+71=108'] Exploring Operation: 108-74=34, Resulting Numbers: [34] 34,73 unequal: No Solution Exploring Operation: 74+108=182, Resulting Numbers: [182] 182,73 unequal: No Solution Exploring Operation: 74*108=7992, Resulting Numbers: [7992] 7992,73 unequal: No Solution No 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: 73:[71, 37], Operations: ['96-22=74', '74-37=37'] Exploring Operation: 71*37=2627, Resulting Numbers: [2627] 2627,73 unequal: No Solution Exploring Operation: 71-37=34, Resulting Numbers: [34] 34,73 unequal: No Solution Exploring Operation: 71+37=108, Resulting Numbers: [108] 108,73 unequal: No Solution No 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: 73:[71, 111], Operations: ['96-22=74', '37+74=111'] Exploring Operation: 71+111=182, Resulting Numbers: [182] 182,73 unequal: No Solution Exploring Operation: 71*111=7881, Resulting Numbers: [7881] 7881,73 unequal: No Solution Exploring Operation: 111-71=40, Resulting Numbers: [40] 40,73 unequal: No Solution No 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: 73:[74, 34], Operations: ['96-22=74', '71-37=34'] Exploring Operation: 74*34=2516, Resulting Numbers: [2516] 2516,73 unequal: No Solution Exploring Operation: 74+34=108, Resulting Numbers: [108] 108,73 unequal: No Solution Exploring Operation: 74-34=40, Resulting Numbers: [40] 40,73 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: 73:[22, 71, 59], Operations: ['96-37=59'] Exploring Operation: 71-22=49, Resulting Numbers: [59, 49] Generated Node #0,2,0: 73:[59, 49] Operation: 71-22=49 Exploring Operation: 22+59=81, Resulting Numbers: [71, 81] Generated Node #0,2,1: 73:[71, 81] Operation: 22+59=81 Exploring Operation: 22+71=93, Resulting Numbers: [59, 93] Generated Node #0,2,2: 73:[59, 93] Operation: 22+71=93 Exploring Operation: 59-22=37, Resulting Numbers: [71, 37] Generated Node #0,2,3: 73:[71, 37] Operation: 59-22=37 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 73:[71, 81], Operations: ['96-37=59', '22+59=81'] Exploring Operation: 81-71=10, Resulting Numbers: [10] 10,73 unequal: No Solution Exploring Operation: 71+81=152, Resulting Numbers: [152] 152,73 unequal: No Solution Exploring Operation: 71*81=5751, Resulting Numbers: [5751] 5751,73 unequal: No Solution No 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: 73:[59, 93], Operations: ['96-37=59', '22+71=93'] Exploring Operation: 59+93=152, Resulting Numbers: [152] 152,73 unequal: No Solution Exploring Operation: 93-59=34, Resulting Numbers: [34] 34,73 unequal: No Solution Exploring Operation: 59*93=5487, Resulting Numbers: [5487] 5487,73 unequal: No Solution No 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: 73:[59, 49], Operations: ['96-37=59', '71-22=49'] Exploring Operation: 59-49=10, Resulting Numbers: [10] 10,73 unequal: No Solution Exploring Operation: 59+49=108, Resulting Numbers: [108] 108,73 unequal: No Solution Exploring Operation: 59*49=2891, Resulting Numbers: [2891] 2891,73 unequal: No Solution No 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: 73:[71, 37], Operations: ['96-37=59', '59-22=37'] Exploring Operation: 71-37=34, Resulting Numbers: [34] 34,73 unequal: No Solution Exploring Operation: 71+37=108, Resulting Numbers: [108] 108,73 unequal: No Solution Exploring Operation: 71*37=2627, Resulting Numbers: [2627] 2627,73 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: 73:[96, 37, 93], Operations: ['22+71=93'] Exploring Operation: 96+37=133, Resulting Numbers: [93, 133] Generated Node #0,3,0: 73:[93, 133] Operation: 96+37=133 Exploring Operation: 96-37=59, Resulting Numbers: [93, 59] Generated Node #0,3,1: 73:[93, 59] Operation: 96-37=59 Exploring Operation: 93-37=56, Resulting Numbers: [96, 56] Generated Node #0,3,2: 73:[96, 56] Operation: 93-37=56 Exploring Operation: 37+93=130, Resulting Numbers: [96, 130] Generated Node #0,3,3: 73:[96, 130] Operation: 37+93=130 Moving to Node #0,3,1 Current State: 73:[93, 59], Operations: ['22+71=93', '96-37=59'] Exploring Operation: 93+59=152, Resulting Numbers: [152] 152,73 unequal: No Solution Exploring Operation: 93*59=5487, Resulting Numbers: [5487] 5487,73 unequal: No Solution Exploring Operation: 93-59=34, Resulting Numbers: [34] 34,73 unequal: No Solution Moving to Node #0,3,2 Current State: 73:[96, 56], Operations: ['22+71=93', '93-37=56'] Exploring Operation: 96-56=40, Resulting Numbers: [40] 40,73 unequal: No Solution Exploring Operation: 96*56=5376, Resulting Numbers: [5376] 5376,73 unequal: No Solution Exploring Operation: 96+56=152, Resulting Numbers: [152] 152,73 unequal: No Solution Moving to Node #0,3,3 Current State: 73:[96, 130], Operations: ['22+71=93', '37+93=130'] Exploring Operation: 130-96=34, Resulting Numbers: [34] 34,73 unequal: No Solution Exploring Operation: 96*130=12480, Resulting Numbers: [12480] 12480,73 unequal: No Solution Exploring Operation: 96+130=226, Resulting Numbers: [226] 226,73 unequal: No Solution Moving to Node #0,3,0 Current State: 73:[93, 133], Operations: ['22+71=93', '96+37=133'] Exploring Operation: 93*133=12369, Resulting Numbers: [12369] 12369,73 unequal: No Solution Exploring Operation: 133-93=40, Resulting Numbers: [40] 40,73 unequal: No Solution Exploring Operation: 93+133=226, Resulting Numbers: [226] 226,73 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
[ 36, 2, 54, 78 ]
81
[ "36/2=18", "54/18=3", "78+3=81" ]
Current State: 81:[36, 2, 54, 78], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [54, 78, 18] Generated Node #2: [54, 78, 18] from Operation: 36/2=18 Current State: 81:[54, 78, 18], Operations: ['36/2=18'] Exploring Operation: 54/18=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 54/18=3 Current State: 81:[78, 3], Operations: ['36/2=18', '54/18=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[36, 2, 54, 78], Operations: [] Exploring Operation: 54-36=18, Resulting Numbers: [2, 78, 18] Generated Node #0,0: 81:[2, 78, 18] Operation: 54-36=18 Exploring Operation: 78-54=24, Resulting Numbers: [36, 2, 24] Generated Node #0,1: 81:[36, 2, 24] Operation: 78-54=24 Exploring Operation: 36+54=90, Resulting Numbers: [2, 78, 90] Generated Node #0,2: 81:[2, 78, 90] Operation: 36+54=90 Exploring Operation: 36-2=34, Resulting Numbers: [54, 78, 34] Generated Node #0,3: 81:[54, 78, 34] Operation: 36-2=34 Exploring Operation: 54/2=27, Resulting Numbers: [36, 78, 27] Generated Node #0,4: 81:[36, 78, 27] Operation: 54/2=27 Start Sub Search at level 1: Moving to Node #0,4 Current State: 81:[36, 78, 27], Operations: ['54/2=27'] Exploring Operation: 36-27=9, Resulting Numbers: [78, 9] Generated Node #0,4,0: 81:[78, 9] Operation: 36-27=9 Exploring Operation: 36+78=114, Resulting Numbers: [27, 114] Generated Node #0,4,1: 81:[27, 114] Operation: 36+78=114 Exploring Operation: 78-36=42, Resulting Numbers: [27, 42] Generated Node #0,4,2: 81:[27, 42] Operation: 78-36=42 Exploring Operation: 78+27=105, Resulting Numbers: [36, 105] Generated Node #0,4,3: 81:[36, 105] Operation: 78+27=105 Exploring Operation: 36+27=63, Resulting Numbers: [78, 63] Generated Node #0,4,4: 81:[78, 63] Operation: 36+27=63 Moving to Node #0,4,0 Current State: 81:[78, 9], Operations: ['54/2=27', '36-27=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,81 unequal: No Solution Exploring Operation: 78*9=702, Resulting Numbers: [702] 702,81 unequal: No Solution Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,81 unequal: No Solution Moving to Node #0,4,2 Current State: 81:[27, 42], Operations: ['54/2=27', '78-36=42'] Exploring Operation: 27*42=1134, Resulting Numbers: [1134] 1134,81 unequal: No Solution Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,81 unequal: No Solution Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,81 unequal: No Solution Moving to Node #0,4,4 Current State: 81:[78, 63], Operations: ['54/2=27', '36+27=63'] Exploring Operation: 78-63=15, Resulting Numbers: [15] 15,81 unequal: No Solution Exploring Operation: 78+63=141, Resulting Numbers: [141] 141,81 unequal: No Solution Exploring Operation: 78*63=4914, Resulting Numbers: [4914] 4914,81 unequal: No Solution Moving to Node #0,4,1 Current State: 81:[27, 114], Operations: ['54/2=27', '36+78=114'] Exploring Operation: 27+114=141, Resulting Numbers: [141] 141,81 unequal: No Solution Exploring Operation: 114-27=87, Resulting Numbers: [87] 87,81 unequal: No Solution Exploring Operation: 27*114=3078, Resulting Numbers: [3078] 3078,81 unequal: No Solution Moving to Node #0,4,3 Current State: 81:[36, 105], Operations: ['54/2=27', '78+27=105'] Exploring Operation: 36+105=141, Resulting Numbers: [141] 141,81 unequal: No Solution Exploring Operation: 36*105=3780, Resulting Numbers: [3780] 3780,81 unequal: No Solution Exploring Operation: 105-36=69, Resulting Numbers: [69] 69,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 81:[2, 78, 18], Operations: ['54-36=18'] Exploring Operation: 2+78=80, Resulting Numbers: [18, 80] Generated Node #0,0,0: 81:[18, 80] Operation: 2+78=80 Exploring Operation: 18/2=9, Resulting Numbers: [78, 9] Generated Node #0,0,1: 81:[78, 9] Operation: 18/2=9 Exploring Operation: 2+18=20, Resulting Numbers: [78, 20] Generated Node #0,0,2: 81:[78, 20] Operation: 2+18=20 Exploring Operation: 2*18=36, Resulting Numbers: [78, 36] Generated Node #0,0,3: 81:[78, 36] Operation: 2*18=36 Exploring Operation: 18-2=16, Resulting Numbers: [78, 16] Generated Node #0,0,4: 81:[78, 16] Operation: 18-2=16 Moving to Node #0,0,1 Current State: 81:[78, 9], Operations: ['54-36=18', '18/2=9'] Exploring Operation: 78*9=702, Resulting Numbers: [702] 702,81 unequal: No Solution Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,81 unequal: No Solution Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,81 unequal: No Solution Moving to Node #0,0,2 Current State: 81:[78, 20], Operations: ['54-36=18', '2+18=20'] Exploring Operation: 78*20=1560, Resulting Numbers: [1560] 1560,81 unequal: No Solution Exploring Operation: 78+20=98, Resulting Numbers: [98] 98,81 unequal: No Solution Exploring Operation: 78-20=58, Resulting Numbers: [58] 58,81 unequal: No Solution Moving to Node #0,0,0 Current State: 81:[18, 80], Operations: ['54-36=18', '2+78=80'] Exploring Operation: 18+80=98, Resulting Numbers: [98] 98,81 unequal: No Solution Exploring Operation: 18*80=1440, Resulting Numbers: [1440] 1440,81 unequal: No Solution Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,81 unequal: No Solution Moving to Node #0,0,4 Current State: 81:[78, 16], Operations: ['54-36=18', '18-2=16'] Exploring Operation: 78*16=1248, Resulting Numbers: [1248] 1248,81 unequal: No Solution Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,81 unequal: No Solution Exploring Operation: 78-16=62, Resulting Numbers: [62] 62,81 unequal: No Solution Moving to Node #0,0,3 Current State: 81:[78, 36], Operations: ['54-36=18', '2*18=36'] Exploring Operation: 78+36=114, Resulting Numbers: [114] 114,81 unequal: No Solution Exploring Operation: 78*36=2808, Resulting Numbers: [2808] 2808,81 unequal: No Solution Exploring Operation: 78-36=42, Resulting Numbers: [42] 42,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 81:[36, 2, 24], Operations: ['78-54=24'] Exploring Operation: 36/2=18, Resulting Numbers: [24, 18] Generated Node #0,1,0: 81:[24, 18] Operation: 36/2=18 Exploring Operation: 2+24=26, Resulting Numbers: [36, 26] Generated Node #0,1,1: 81:[36, 26] Operation: 2+24=26 Exploring Operation: 36*2=72, Resulting Numbers: [24, 72] Generated Node #0,1,2: 81:[24, 72] Operation: 36*2=72 Exploring Operation: 36-24=12, Resulting Numbers: [2, 12] Generated Node #0,1,3: 81:[2, 12] Operation: 36-24=12 Exploring Operation: 36-2=34, Resulting Numbers: [24, 34] Generated Node #0,1,4: 81:[24, 34] Operation: 36-2=34 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 81:[2, 12], Operations: ['78-54=24', '36-24=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,81 unequal: No Solution Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,81 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,81 unequal: No Solution No 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: 81:[36, 26], Operations: ['78-54=24', '2+24=26'] Exploring Operation: 36*26=936, Resulting Numbers: [936] 936,81 unequal: No Solution Exploring Operation: 36+26=62, Resulting Numbers: [62] 62,81 unequal: No Solution Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,81 unequal: No Solution No 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: 81:[24, 34], Operations: ['78-54=24', '36-2=34'] Exploring Operation: 24+34=58, Resulting Numbers: [58] 58,81 unequal: No Solution Exploring Operation: 24*34=816, Resulting Numbers: [816] 816,81 unequal: No Solution Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,81 unequal: No Solution No 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: 81:[24, 18], Operations: ['78-54=24', '36/2=18'] Exploring Operation: 24*18=432, Resulting Numbers: [432] 432,81 unequal: No Solution Exploring Operation: 24+18=42, Resulting Numbers: [42] 42,81 unequal: No Solution Exploring Operation: 24-18=6, Resulting Numbers: [6] 6,81 unequal: No Solution No 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: 81:[24, 72], Operations: ['78-54=24', '36*2=72'] Exploring Operation: 72-24=48, Resulting Numbers: [48] 48,81 unequal: No Solution Exploring Operation: 24+72=96, Resulting Numbers: [96] 96,81 unequal: No Solution Exploring Operation: 72/24=3, Resulting Numbers: [3] 3,81 unequal: No Solution Exploring Operation: 24*72=1728, Resulting Numbers: [1728] 1728,81 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: 81:[2, 78, 90], Operations: ['36+54=90'] Exploring Operation: 2+90=92, Resulting Numbers: [78, 92] Generated Node #0,2,0: 81:[78, 92] Operation: 2+90=92 Exploring Operation: 90-2=88, Resulting Numbers: [78, 88] Generated Node #0,2,1: 81:[78, 88] Operation: 90-2=88 Exploring Operation: 90-78=12, Resulting Numbers: [2, 12] Generated Node #0,2,2: 81:[2, 12] Operation: 90-78=12 Exploring Operation: 2+78=80, Resulting Numbers: [90, 80] Generated Node #0,2,3: 81:[90, 80] Operation: 2+78=80 Exploring Operation: 78-2=76, Resulting Numbers: [90, 76] Generated Node #0,2,4: 81:[90, 76] Operation: 78-2=76 Moving to Node #0,2,2 Current State: 81:[2, 12], Operations: ['36+54=90', '90-78=12'] Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,81 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,81 unequal: No Solution Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,81 unequal: No Solution Moving to Node #0,2,3 Current State: 81:[90, 80], Operations: ['36+54=90', '2+78=80'] Exploring Operation: 90*80=7200, Resulting Numbers: [7200] 7200,81 unequal: No Solution Exploring Operation: 90-80=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 90+80=170, Resulting Numbers: [170] 170,81 unequal: No Solution Moving to Node #0,2,1 Current State: 81:[78, 88], Operations: ['36+54=90', '90-2=88'] Exploring Operation: 88-78=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 78+88=166, Resulting Numbers: [166] 166,81 unequal: No Solution Exploring Operation: 78*88=6864, Resulting Numbers: [6864] 6864,81 unequal: No Solution Moving to Node #0,2,0 Current State: 81:[78, 92], Operations: ['36+54=90', '2+90=92'] Exploring Operation: 78*92=7176, Resulting Numbers: [7176] 7176,81 unequal: No Solution Exploring Operation: 92-78=14, Resulting Numbers: [14] 14,81 unequal: No Solution Exploring Operation: 78+92=170, Resulting Numbers: [170] 170,81 unequal: No Solution Moving to Node #0,2,4 Current State: 81:[90, 76], Operations: ['36+54=90', '78-2=76'] Exploring Operation: 90-76=14, Resulting Numbers: [14] 14,81 unequal: No Solution Exploring Operation: 90*76=6840, Resulting Numbers: [6840] 6840,81 unequal: No Solution Exploring Operation: 90+76=166, Resulting Numbers: [166] 166,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 81:[54, 78, 34], Operations: ['36-2=34'] Exploring Operation: 78-34=44, Resulting Numbers: [54, 44] Generated Node #0,3,0: 81:[54, 44] Operation: 78-34=44 Exploring Operation: 54+78=132, Resulting Numbers: [34, 132] Generated Node #0,3,1: 81:[34, 132] Operation: 54+78=132 Exploring Operation: 78-54=24, Resulting Numbers: [34, 24] Generated Node #0,3,2: 81:[34, 24] Operation: 78-54=24 Exploring Operation: 54+34=88, Resulting Numbers: [78, 88] Generated Node #0,3,3: 81:[78, 88] Operation: 54+34=88 Exploring Operation: 54-34=20, Resulting Numbers: [78, 20] Generated Node #0,3,4: 81:[78, 20] Operation: 54-34=20 Moving to Node #0,3,2 Current State: 81:[34, 24], Operations: ['36-2=34', '78-54=24'] Exploring Operation: 34+24=58, Resulting Numbers: [58] 58,81 unequal: No Solution Exploring Operation: 34*24=816, Resulting Numbers: [816] 816,81 unequal: No Solution Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,81 unequal: No Solution Moving to Node #0,3,4 Current State: 81:[78, 20], Operations: ['36-2=34', '54-34=20'] Exploring Operation: 78-20=58, Resulting Numbers: [58] 58,81 unequal: No Solution Exploring Operation: 78*20=1560, Resulting Numbers: [1560] 1560,81 unequal: No Solution Exploring Operation: 78+20=98, Resulting Numbers: [98] 98,81 unequal: No Solution Moving to Node #0,3,3 Current State: 81:[78, 88], Operations: ['36-2=34', '54+34=88'] Exploring Operation: 88-78=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 78*88=6864, Resulting Numbers: [6864] 6864,81 unequal: No Solution Exploring Operation: 78+88=166, Resulting Numbers: [166] 166,81 unequal: No Solution Moving to Node #0,3,0 Current State: 81:[54, 44], Operations: ['36-2=34', '78-34=44'] Exploring Operation: 54*44=2376, Resulting Numbers: [2376] 2376,81 unequal: No Solution Exploring Operation: 54-44=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 54+44=98, Resulting Numbers: [98] 98,81 unequal: No Solution Moving to Node #0,3,1 Current State: 81:[34, 132], Operations: ['36-2=34', '54+78=132'] Exploring Operation: 34+132=166, Resulting Numbers: [166] 166,81 unequal: No Solution Exploring Operation: 132-34=98, Resulting Numbers: [98] 98,81 unequal: No Solution Exploring Operation: 34*132=4488, Resulting Numbers: [4488] 4488,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 52, 25, 28, 24 ]
60
[ "28-25=3", "24/3=8", "52+8=60" ]
Current State: 60:[52, 25, 28, 24], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [52, 24, 3] Generated Node #2: [52, 24, 3] from Operation: 28-25=3 Current State: 60:[52, 24, 3], Operations: ['28-25=3'] Exploring Operation: 24/3=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 24/3=8 Current State: 60:[52, 8], Operations: ['28-25=3', '24/3=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[52, 25, 28, 24], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [52, 28, 1] Generated Node #0,0: 60:[52, 28, 1] Operation: 25-24=1 Exploring Operation: 52-24=28, Resulting Numbers: [25, 28, 28] Generated Node #0,1: 60:[25, 28, 28] Operation: 52-24=28 Exploring Operation: 52-25=27, Resulting Numbers: [28, 24, 27] Generated Node #0,2: 60:[28, 24, 27] Operation: 52-25=27 Exploring Operation: 28-25=3, Resulting Numbers: [52, 24, 3] Generated Node #0,3: 60:[52, 24, 3] Operation: 28-25=3 Moving to Node #0,1 Current State: 60:[25, 28, 28], Operations: ['52-24=28'] Exploring Operation: 28-25=3, Resulting Numbers: [28, 3] Generated Node #0,1,0: 60:[28, 3] Operation: 28-25=3 Exploring Operation: 28-25=3, Resulting Numbers: [28, 3] Generated Node #0,1,1: 60:[28, 3] Operation: 28-25=3 Exploring Operation: 28-28=0, Resulting Numbers: [25, 0] Generated Node #0,1,2: 60:[25, 0] Operation: 28-28=0 Exploring Operation: 28/28=1, Resulting Numbers: [25, 1] Generated Node #0,1,3: 60:[25, 1] Operation: 28/28=1 Moving to Node #0,2 Current State: 60:[28, 24, 27], Operations: ['52-25=27'] Exploring Operation: 27-24=3, Resulting Numbers: [28, 3] Generated Node #0,2,0: 60:[28, 3] Operation: 27-24=3 Exploring Operation: 28-24=4, Resulting Numbers: [27, 4] Generated Node #0,2,1: 60:[27, 4] Operation: 28-24=4 Exploring Operation: 28-27=1, Resulting Numbers: [24, 1] Generated Node #0,2,2: 60:[24, 1] Operation: 28-27=1 Exploring Operation: 28+27=55, Resulting Numbers: [24, 55] Generated Node #0,2,3: 60:[24, 55] Operation: 28+27=55 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 60:[28, 3], Operations: ['52-25=27', '27-24=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,60 unequal: No Solution Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,60 unequal: No Solution Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 60:[27, 4], Operations: ['52-25=27', '28-24=4'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,60 unequal: No Solution Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,60 unequal: No Solution Exploring Operation: 27*4=108, Resulting Numbers: [108] 108,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 60:[24, 1], Operations: ['52-25=27', '28-27=1'] Exploring Operation: 24+1=25, Resulting Numbers: [25] 25,60 unequal: No Solution Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,60 unequal: No Solution Exploring Operation: 24/1=24, Resulting Numbers: [24] 24,60 unequal: No Solution Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 60:[24, 55], Operations: ['52-25=27', '28+27=55'] Exploring Operation: 24+55=79, Resulting Numbers: [79] 79,60 unequal: No Solution Exploring Operation: 24*55=1320, Resulting Numbers: [1320] 1320,60 unequal: No Solution Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,60 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: 60:[52, 28, 1], Operations: ['25-24=1'] Exploring Operation: 52-28=24, Resulting Numbers: [1, 24] Generated Node #0,0,0: 60:[1, 24] Operation: 52-28=24 Exploring Operation: 52*1=52, Resulting Numbers: [28, 52] Generated Node #0,0,1: 60:[28, 52] Operation: 52*1=52 Exploring Operation: 52+1=53, Resulting Numbers: [28, 53] Generated Node #0,0,2: 60:[28, 53] Operation: 52+1=53 Exploring Operation: 28+1=29, Resulting Numbers: [52, 29] Generated Node #0,0,3: 60:[52, 29] Operation: 28+1=29 Moving to Node #0,3 Current State: 60:[52, 24, 3], Operations: ['28-25=3'] Exploring Operation: 24/3=8, Resulting Numbers: [52, 8] Generated Node #0,3,0: 60:[52, 8] Operation: 24/3=8 Exploring Operation: 24-3=21, Resulting Numbers: [52, 21] Generated Node #0,3,1: 60:[52, 21] Operation: 24-3=21 Exploring Operation: 52-24=28, Resulting Numbers: [3, 28] Generated Node #0,3,2: 60:[3, 28] Operation: 52-24=28 Exploring Operation: 52+3=55, Resulting Numbers: [24, 55] Generated Node #0,3,3: 60:[24, 55] Operation: 52+3=55 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 60:[3, 28], Operations: ['28-25=3', '52-24=28'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,60 unequal: No Solution Exploring Operation: 3+28=31, Resulting Numbers: [31] 31,60 unequal: No Solution Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,60 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 #0,3,1 Current State: 60:[52, 21], Operations: ['28-25=3', '24-3=21'] Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,60 unequal: No Solution Exploring Operation: 52*21=1092, Resulting Numbers: [1092] 1092,60 unequal: No Solution Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,60 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 #0,3,3 Current State: 60:[24, 55], Operations: ['28-25=3', '52+3=55'] Exploring Operation: 24*55=1320, Resulting Numbers: [1320] 1320,60 unequal: No Solution Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,60 unequal: No Solution Exploring Operation: 24+55=79, Resulting Numbers: [79] 79,60 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 #0,3,0 Current State: 60:[52, 8], Operations: ['28-25=3', '24/3=8'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,60 unequal: No Solution Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[52, 25, 28, 24], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [52, 24, 3] Generated Node #0,3: 60:[52, 24, 3] Operation: 28-25=3 Moving to Node #0,3 Current State: 60:[52, 24, 3], Operations: ['28-25=3'] Exploring Operation: 24/3=8, Resulting Numbers: [52, 8] Generated Node #0,3,0: 60:[52, 8] Operation: 24/3=8 Moving to Node #0,3,0 Current State: 60:[52, 8], Operations: ['28-25=3', '24/3=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 1
0.958333
hs_4
sum_heuristic
[ 81, 97, 3, 81 ]
32
[ "81/81=1", "97-1=96", "96/3=32" ]
Current State: 32:[81, 97, 3, 81], Operations: [] Exploring Operation: 81/81=1, Resulting Numbers: [97, 3, 1] Generated Node #2: [97, 3, 1] from Operation: 81/81=1 Current State: 32:[97, 3, 1], Operations: ['81/81=1'] Exploring Operation: 97-1=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 97-1=96 Current State: 32:[3, 96], Operations: ['81/81=1', '97-1=96'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[81, 97, 3, 81], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [3, 81, 16] Generated Node #0,0: 32:[3, 81, 16] Operation: 97-81=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 32:[3, 81, 16], Operations: ['97-81=16'] Exploring Operation: 81/3=27, Resulting Numbers: [16, 27] Generated Node #0,0,0: 32:[16, 27] Operation: 81/3=27 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 32:[16, 27], Operations: ['97-81=16', '81/3=27'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,32 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
[ 39, 27, 85, 34 ]
53
[ "39+27=66", "85+34=119", "119-66=53" ]
Current State: 53:[39, 27, 85, 34], Operations: [] Exploring Operation: 39+27=66, Resulting Numbers: [85, 34, 66] Generated Node #2: [85, 34, 66] from Operation: 39+27=66 Current State: 53:[85, 34, 66], Operations: ['39+27=66'] Exploring Operation: 85+34=119, Resulting Numbers: [66, 119] Generated Node #3: [66, 119] from Operation: 85+34=119 Current State: 53:[66, 119], Operations: ['39+27=66', '85+34=119'] Exploring Operation: 119-66=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[39, 27, 85, 34], Operations: [] Exploring Operation: 85-27=58, Resulting Numbers: [39, 34, 58] Generated Node #0,0: 53:[39, 34, 58] Operation: 85-27=58 Exploring Operation: 85-39=46, Resulting Numbers: [27, 34, 46] Generated Node #0,1: 53:[27, 34, 46] Operation: 85-39=46 Exploring Operation: 85-34=51, Resulting Numbers: [39, 27, 51] Generated Node #0,2: 53:[39, 27, 51] Operation: 85-34=51 Exploring Operation: 27+34=61, Resulting Numbers: [39, 85, 61] Generated Node #0,3: 53:[39, 85, 61] Operation: 27+34=61 Moving to Node #0,0 Current State: 53:[39, 34, 58], Operations: ['85-27=58'] Exploring Operation: 39+34=73, Resulting Numbers: [58, 73] Generated Node #0,0,0: 53:[58, 73] Operation: 39+34=73 Exploring Operation: 58-34=24, Resulting Numbers: [39, 24] Generated Node #0,0,1: 53:[39, 24] Operation: 58-34=24 Exploring Operation: 58-39=19, Resulting Numbers: [34, 19] Generated Node #0,0,2: 53:[34, 19] Operation: 58-39=19 Exploring Operation: 39-34=5, Resulting Numbers: [58, 5] Generated Node #0,0,3: 53:[58, 5] Operation: 39-34=5 Moving to Node #0,2 Current State: 53:[39, 27, 51], Operations: ['85-34=51'] Exploring Operation: 27+51=78, Resulting Numbers: [39, 78] Generated Node #0,2,0: 53:[39, 78] Operation: 27+51=78 Exploring Operation: 39-27=12, Resulting Numbers: [51, 12] Generated Node #0,2,1: 53:[51, 12] Operation: 39-27=12 Exploring Operation: 39+27=66, Resulting Numbers: [51, 66] Generated Node #0,2,2: 53:[51, 66] Operation: 39+27=66 Exploring Operation: 51-27=24, Resulting Numbers: [39, 24] Generated Node #0,2,3: 53:[39, 24] Operation: 51-27=24 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 53:[51, 66], Operations: ['85-34=51', '39+27=66'] Exploring Operation: 51*66=3366, Resulting Numbers: [3366] 3366,53 unequal: No Solution Exploring Operation: 51+66=117, Resulting Numbers: [117] 117,53 unequal: No Solution Exploring Operation: 66-51=15, Resulting Numbers: [15] 15,53 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:[39, 78], Operations: ['85-34=51', '27+51=78'] Exploring Operation: 39+78=117, Resulting Numbers: [117] 117,53 unequal: No Solution Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,53 unequal: No Solution Exploring Operation: 78/39=2, Resulting Numbers: [2] 2,53 unequal: No Solution Exploring Operation: 39*78=3042, Resulting Numbers: [3042] 3042,53 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 #0,2,1 Current State: 53:[51, 12], Operations: ['85-34=51', '39-27=12'] Exploring Operation: 51*12=612, Resulting Numbers: [612] 612,53 unequal: No Solution Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,53 unequal: No Solution Exploring Operation: 51+12=63, Resulting Numbers: [63] 63,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 53:[39, 24], Operations: ['85-34=51', '51-27=24'] Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,53 unequal: No Solution Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,53 unequal: No Solution Exploring Operation: 39*24=936, Resulting Numbers: [936] 936,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 53:[27, 34, 46], Operations: ['85-39=46'] Exploring Operation: 46-27=19, Resulting Numbers: [34, 19] Generated Node #0,1,0: 53:[34, 19] Operation: 46-27=19 Exploring Operation: 34-27=7, Resulting Numbers: [46, 7] Generated Node #0,1,1: 53:[46, 7] Operation: 34-27=7 Exploring Operation: 27+46=73, Resulting Numbers: [34, 73] Generated Node #0,1,2: 53:[34, 73] Operation: 27+46=73 Exploring Operation: 27+34=61, Resulting Numbers: [46, 61] Generated Node #0,1,3: 53:[46, 61] Operation: 27+34=61 Moving to Node #0,3 Current State: 53:[39, 85, 61], Operations: ['27+34=61'] Exploring Operation: 61-39=22, Resulting Numbers: [85, 22] Generated Node #0,3,0: 53:[85, 22] Operation: 61-39=22 Exploring Operation: 85-39=46, Resulting Numbers: [61, 46] Generated Node #0,3,1: 53:[61, 46] Operation: 85-39=46 Exploring Operation: 85-61=24, Resulting Numbers: [39, 24] Generated Node #0,3,2: 53:[39, 24] Operation: 85-61=24 Exploring Operation: 39+85=124, Resulting Numbers: [61, 124] Generated Node #0,3,3: 53:[61, 124] Operation: 39+85=124 Moving to Node #0,1,3 Current State: 53:[46, 61], Operations: ['85-39=46', '27+34=61'] Exploring Operation: 46+61=107, Resulting Numbers: [107] 107,53 unequal: No Solution Exploring Operation: 46*61=2806, Resulting Numbers: [2806] 2806,53 unequal: No Solution Exploring Operation: 61-46=15, Resulting Numbers: [15] 15,53 unequal: No Solution Moving to Node #0,3,1 Current State: 53:[61, 46], Operations: ['27+34=61', '85-39=46'] Exploring Operation: 61+46=107, Resulting Numbers: [107] 107,53 unequal: No Solution Exploring Operation: 61*46=2806, Resulting Numbers: [2806] 2806,53 unequal: No Solution Exploring Operation: 61-46=15, Resulting Numbers: [15] 15,53 unequal: No Solution Moving to Node #0,0,0 Current State: 53:[58, 73], Operations: ['85-27=58', '39+34=73'] Exploring Operation: 58*73=4234, Resulting Numbers: [4234] 4234,53 unequal: No Solution Exploring Operation: 73-58=15, Resulting Numbers: [15] 15,53 unequal: No Solution Exploring Operation: 58+73=131, Resulting Numbers: [131] 131,53 unequal: No Solution Moving to Node #0,1,2 Current State: 53:[34, 73], Operations: ['85-39=46', '27+46=73'] Exploring Operation: 34*73=2482, Resulting Numbers: [2482] 2482,53 unequal: No Solution Exploring Operation: 73-34=39, Resulting Numbers: [39] 39,53 unequal: No Solution Exploring Operation: 34+73=107, Resulting Numbers: [107] 107,53 unequal: No Solution Moving to Node #0,0,1 Current State: 53:[39, 24], Operations: ['85-27=58', '58-34=24'] Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,53 unequal: No Solution Exploring Operation: 39*24=936, Resulting Numbers: [936] 936,53 unequal: No Solution Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,53 unequal: No Solution Moving to Node #0,3,2 Current State: 53:[39, 24], Operations: ['27+34=61', '85-61=24'] Exploring Operation: 39*24=936, Resulting Numbers: [936] 936,53 unequal: No Solution Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,53 unequal: No Solution Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,53 unequal: No Solution Moving to Node #0,1,0 Current State: 53:[34, 19], Operations: ['85-39=46', '46-27=19'] Exploring Operation: 34-19=15, Resulting Numbers: [15] 15,53 unequal: No Solution Exploring Operation: 34*19=646, Resulting Numbers: [646] 646,53 unequal: No Solution Exploring Operation: 34+19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Moving to Node #0 Current State: 53:[39, 27, 85, 34], Operations: [] Exploring Operation: 85-39=46, Resulting Numbers: [27, 34, 46] Generated Node #0,1: 53:[27, 34, 46] Operation: 85-39=46 Moving to Node #0,1 Current State: 53:[27, 34, 46], Operations: ['85-39=46'] Exploring Operation: 46-27=19, Resulting Numbers: [34, 19] Generated Node #0,1,0: 53:[34, 19] Operation: 46-27=19 Moving to Node #0,1,0 Current State: 53:[34, 19], Operations: ['85-39=46', '46-27=19'] Exploring Operation: 34+19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
0.949653
hs_4
sum_heuristic
[ 12, 3, 89, 3 ]
44
[ "12+3=15", "3*15=45", "89-45=44" ]
Current State: 44:[12, 3, 89, 3], Operations: [] Exploring Operation: 12+3=15, Resulting Numbers: [89, 15] Generated Node #2: [89, 15] from Operation: 12+3=15 Current State: 44:[89, 15], Operations: ['12+3=15'] Exploring Operation: 3*15=45, Resulting Numbers: [89, 45] Generated Node #3: [89, 45] from Operation: 3*15=45 Current State: 44:[89, 45], Operations: ['12+3=15', '3*15=45'] Exploring Operation: 89-45=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[12, 3, 89, 3], Operations: [] Exploring Operation: 89-12=77, Resulting Numbers: [3, 3, 77] Generated Node #0,0: 44:[3, 3, 77] Operation: 89-12=77 Moving to Node #0,0 Current State: 44:[3, 3, 77], Operations: ['89-12=77'] Exploring Operation: 77-3=74, Resulting Numbers: [3, 74] Generated Node #0,0,0: 44:[3, 74] Operation: 77-3=74 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 44:[3, 74], Operations: ['89-12=77', '77-3=74'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,44 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
[ 4, 52, 57, 94 ]
85
[ "52-4=48", "94-57=37", "48+37=85" ]
Current State: 85:[4, 52, 57, 94], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [57, 94, 48] Generated Node #2: [57, 94, 48] from Operation: 52-4=48 Current State: 85:[57, 94, 48], Operations: ['52-4=48'] Exploring Operation: 94-57=37, Resulting Numbers: [48, 37] Generated Node #3: [48, 37] from Operation: 94-57=37 Current State: 85:[48, 37], Operations: ['52-4=48', '94-57=37'] Exploring Operation: 48+37=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[4, 52, 57, 94], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [4, 94, 5] Generated Node #0,0: 85:[4, 94, 5] Operation: 57-52=5 Exploring Operation: 52+57=109, Resulting Numbers: [4, 94, 109] Generated Node #0,1: 85:[4, 94, 109] Operation: 52+57=109 Exploring Operation: 52/4=13, Resulting Numbers: [57, 94, 13] Generated Node #0,2: 85:[57, 94, 13] Operation: 52/4=13 Moving to Node #0,0 Current State: 85:[4, 94, 5], Operations: ['57-52=5'] Exploring Operation: 94-5=89, Resulting Numbers: [4, 89] Generated Node #0,0,0: 85:[4, 89] Operation: 94-5=89 Exploring Operation: 4*5=20, Resulting Numbers: [94, 20] Generated Node #0,0,1: 85:[94, 20] Operation: 4*5=20 Exploring Operation: 94-4=90, Resulting Numbers: [5, 90] Generated Node #0,0,2: 85:[5, 90] Operation: 94-4=90 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 85:[4, 89], Operations: ['57-52=5', '94-5=89'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[4, 52, 57, 94], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [4, 94, 5] Generated Node #0,0: 85:[4, 94, 5] Operation: 57-52=5 Moving to Node #0,0 Current State: 85:[4, 94, 5], Operations: ['57-52=5'] Exploring Operation: 94-5=89, Resulting Numbers: [4, 89] Generated Node #0,0,0: 85:[4, 89] Operation: 94-5=89 Moving to Node #0,0,0 Current State: 85:[4, 89], Operations: ['57-52=5', '94-5=89'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 6, 30, 98, 27 ]
96
[ "30-27=3", "6/3=2", "98-2=96" ]
Current State: 96:[6, 30, 98, 27], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [6, 98, 3] Generated Node #2: [6, 98, 3] from Operation: 30-27=3 Current State: 96:[6, 98, 3], Operations: ['30-27=3'] Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 6/3=2 Current State: 96:[98, 2], Operations: ['30-27=3', '6/3=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[6, 30, 98, 27], Operations: [] Exploring Operation: 27-6=21, Resulting Numbers: [30, 98, 21] Generated Node #0,0: 96:[30, 98, 21] Operation: 27-6=21 Exploring Operation: 30-6=24, Resulting Numbers: [98, 27, 24] Generated Node #0,1: 96:[98, 27, 24] Operation: 30-6=24 Exploring Operation: 30/6=5, Resulting Numbers: [98, 27, 5] Generated Node #0,2: 96:[98, 27, 5] Operation: 30/6=5 Exploring Operation: 30-27=3, Resulting Numbers: [6, 98, 3] Generated Node #0,3: 96:[6, 98, 3] Operation: 30-27=3 Exploring Operation: 6+27=33, Resulting Numbers: [30, 98, 33] Generated Node #0,4: 96:[30, 98, 33] Operation: 6+27=33 Moving to Node #0,3 Current State: 96:[6, 98, 3], Operations: ['30-27=3'] Exploring Operation: 6+3=9, Resulting Numbers: [98, 9] Generated Node #0,3,0: 96:[98, 9] Operation: 6+3=9 Exploring Operation: 6-3=3, Resulting Numbers: [98, 3] Generated Node #0,3,1: 96:[98, 3] Operation: 6-3=3 Exploring Operation: 98-3=95, Resulting Numbers: [6, 95] Generated Node #0,3,2: 96:[6, 95] Operation: 98-3=95 Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #0,3,3: 96:[98, 2] Operation: 6/3=2 Exploring Operation: 98-6=92, Resulting Numbers: [3, 92] Generated Node #0,3,4: 96:[3, 92] Operation: 98-6=92 Moving to Node #0,4 Current State: 96:[30, 98, 33], Operations: ['6+27=33'] Exploring Operation: 30+98=128, Resulting Numbers: [33, 128] Generated Node #0,4,0: 96:[33, 128] Operation: 30+98=128 Exploring Operation: 98-33=65, Resulting Numbers: [30, 65] Generated Node #0,4,1: 96:[30, 65] Operation: 98-33=65 Exploring Operation: 33-30=3, Resulting Numbers: [98, 3] Generated Node #0,4,2: 96:[98, 3] Operation: 33-30=3 Exploring Operation: 98-30=68, Resulting Numbers: [33, 68] Generated Node #0,4,3: 96:[33, 68] Operation: 98-30=68 Exploring Operation: 30+33=63, Resulting Numbers: [98, 63] Generated Node #0,4,4: 96:[98, 63] Operation: 30+33=63 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 96:[98, 3], Operations: ['6+27=33', '33-30=3'] Exploring Operation: 98+3=101, Resulting Numbers: [101] 101,96 unequal: No Solution Exploring Operation: 98*3=294, Resulting Numbers: [294] 294,96 unequal: No Solution Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,96 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 #0,4,4 Current State: 96:[98, 63], Operations: ['6+27=33', '30+33=63'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,96 unequal: No Solution Exploring Operation: 98+63=161, Resulting Numbers: [161] 161,96 unequal: No Solution Exploring Operation: 98*63=6174, Resulting Numbers: [6174] 6174,96 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 #0,4,1 Current State: 96:[30, 65], Operations: ['6+27=33', '98-33=65'] Exploring Operation: 30*65=1950, Resulting Numbers: [1950] 1950,96 unequal: No Solution Exploring Operation: 65-30=35, Resulting Numbers: [35] 35,96 unequal: No Solution Exploring Operation: 30+65=95, Resulting Numbers: [95] 95,96 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 #0,4,3 Current State: 96:[33, 68], Operations: ['6+27=33', '98-30=68'] Exploring Operation: 33*68=2244, Resulting Numbers: [2244] 2244,96 unequal: No Solution Exploring Operation: 68-33=35, Resulting Numbers: [35] 35,96 unequal: No Solution Exploring Operation: 33+68=101, Resulting Numbers: [101] 101,96 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 #0,4,0 Current State: 96:[33, 128], Operations: ['6+27=33', '30+98=128'] Exploring Operation: 33*128=4224, Resulting Numbers: [4224] 4224,96 unequal: No Solution Exploring Operation: 128-33=95, Resulting Numbers: [95] 95,96 unequal: No Solution Exploring Operation: 33+128=161, Resulting Numbers: [161] 161,96 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:[98, 27, 24], Operations: ['30-6=24'] Exploring Operation: 98-24=74, Resulting Numbers: [27, 74] Generated Node #0,1,0: 96:[27, 74] Operation: 98-24=74 Exploring Operation: 27-24=3, Resulting Numbers: [98, 3] Generated Node #0,1,1: 96:[98, 3] Operation: 27-24=3 Exploring Operation: 27+24=51, Resulting Numbers: [98, 51] Generated Node #0,1,2: 96:[98, 51] Operation: 27+24=51 Exploring Operation: 98+27=125, Resulting Numbers: [24, 125] Generated Node #0,1,3: 96:[24, 125] Operation: 98+27=125 Exploring Operation: 98-27=71, Resulting Numbers: [24, 71] Generated Node #0,1,4: 96:[24, 71] Operation: 98-27=71 Moving to Node #0,2 Current State: 96:[98, 27, 5], Operations: ['30/6=5'] Exploring Operation: 27+5=32, Resulting Numbers: [98, 32] Generated Node #0,2,0: 96:[98, 32] Operation: 27+5=32 Exploring Operation: 98+5=103, Resulting Numbers: [27, 103] Generated Node #0,2,1: 96:[27, 103] Operation: 98+5=103 Exploring Operation: 27-5=22, Resulting Numbers: [98, 22] Generated Node #0,2,2: 96:[98, 22] Operation: 27-5=22 Exploring Operation: 98-5=93, Resulting Numbers: [27, 93] Generated Node #0,2,3: 96:[27, 93] Operation: 98-5=93 Exploring Operation: 98-27=71, Resulting Numbers: [5, 71] Generated Node #0,2,4: 96:[5, 71] Operation: 98-27=71 Moving to Node #0,0 Current State: 96:[30, 98, 21], Operations: ['27-6=21'] Exploring Operation: 98-30=68, Resulting Numbers: [21, 68] Generated Node #0,0,0: 96:[21, 68] Operation: 98-30=68 Exploring Operation: 30-21=9, Resulting Numbers: [98, 9] Generated Node #0,0,1: 96:[98, 9] Operation: 30-21=9 Exploring Operation: 98-21=77, Resulting Numbers: [30, 77] Generated Node #0,0,2: 96:[30, 77] Operation: 98-21=77 Exploring Operation: 30+21=51, Resulting Numbers: [98, 51] Generated Node #0,0,3: 96:[98, 51] Operation: 30+21=51 Exploring Operation: 98+21=119, Resulting Numbers: [30, 119] Generated Node #0,0,4: 96:[30, 119] Operation: 98+21=119 Moving to Node #0,3,2 Current State: 96:[6, 95], Operations: ['30-27=3', '98-3=95'] Exploring Operation: 6*95=570, Resulting Numbers: [570] 570,96 unequal: No Solution Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,96 unequal: No Solution Exploring Operation: 6+95=101, Resulting Numbers: [101] 101,96 unequal: No Solution Moving to Node #0,3,3 Current State: 96:[98, 2], Operations: ['30-27=3', '6/3=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[6, 30, 98, 27], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [6, 98, 3] Generated Node #0,3: 96:[6, 98, 3] Operation: 30-27=3 Moving to Node #0,3 Current State: 96:[6, 98, 3], Operations: ['30-27=3'] Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #0,3,3: 96:[98, 2] Operation: 6/3=2 Moving to Node #0,3,3 Current State: 96:[98, 2], Operations: ['30-27=3', '6/3=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
0.953993
hs_5
sum_heuristic
[ 13, 75, 48, 1 ]
13
[ "75-13=62", "48+1=49", "62-49=13" ]
Current State: 13:[13, 75, 48, 1], Operations: [] Exploring Operation: 75-13=62, Resulting Numbers: [48, 1, 62] Generated Node #2: [48, 1, 62] from Operation: 75-13=62 Current State: 13:[48, 1, 62], Operations: ['75-13=62'] Exploring Operation: 48+1=49, Resulting Numbers: [62, 49] Generated Node #3: [62, 49] from Operation: 48+1=49 Current State: 13:[62, 49], Operations: ['75-13=62', '48+1=49'] Exploring Operation: 62-49=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[13, 75, 48, 1], Operations: [] Exploring Operation: 75-48=27, Resulting Numbers: [13, 1, 27] Generated Node #0,0: 13:[13, 1, 27] Operation: 75-48=27 Moving to Node #0,0 Current State: 13:[13, 1, 27], Operations: ['75-48=27'] Exploring Operation: 27-13=14, Resulting Numbers: [1, 14] Generated Node #0,0,0: 13:[1, 14] Operation: 27-13=14 Moving to Node #0,0,0 Current State: 13:[1, 14], Operations: ['75-48=27', '27-13=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Moving to Node #0 Current State: 13:[13, 75, 48, 1], Operations: [] Exploring Operation: 75-48=27, Resulting Numbers: [13, 1, 27] Generated Node #0,0: 13:[13, 1, 27] Operation: 75-48=27 Moving to Node #0,0 Current State: 13:[13, 1, 27], Operations: ['75-48=27'] Exploring Operation: 27-13=14, Resulting Numbers: [1, 14] Generated Node #0,0,0: 13:[1, 14] Operation: 27-13=14 Moving to Node #0,0,0 Current State: 13:[1, 14], Operations: ['75-48=27', '27-13=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
0.993924
hs_1
mult_heuristic
[ 87, 7, 2, 15 ]
93
[ "87-7=80", "15-2=13", "80+13=93" ]
Current State: 93:[87, 7, 2, 15], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [2, 15, 80] Generated Node #2: [2, 15, 80] from Operation: 87-7=80 Current State: 93:[2, 15, 80], Operations: ['87-7=80'] Exploring Operation: 15-2=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 15-2=13 Current State: 93:[80, 13], Operations: ['87-7=80', '15-2=13'] Exploring Operation: 80+13=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[87, 7, 2, 15], Operations: [] Exploring Operation: 87+7=94, Resulting Numbers: [2, 15, 94] Generated Node #0,0: 93:[2, 15, 94] Operation: 87+7=94 Exploring Operation: 7+15=22, Resulting Numbers: [87, 2, 22] Generated Node #0,1: 93:[87, 2, 22] Operation: 7+15=22 Exploring Operation: 87+15=102, Resulting Numbers: [7, 2, 102] Generated Node #0,2: 93:[7, 2, 102] Operation: 87+15=102 Exploring Operation: 15-7=8, Resulting Numbers: [87, 2, 8] Generated Node #0,3: 93:[87, 2, 8] Operation: 15-7=8 Exploring Operation: 2*15=30, Resulting Numbers: [87, 7, 30] Generated Node #0,4: 93:[87, 7, 30] Operation: 2*15=30 Start Sub Search at level 1: Moving to Node #0,4 Current State: 93:[87, 7, 30], Operations: ['2*15=30'] Exploring Operation: 87-7=80, Resulting Numbers: [30, 80] Generated Node #0,4,0: 93:[30, 80] Operation: 87-7=80 Exploring Operation: 87+30=117, Resulting Numbers: [7, 117] Generated Node #0,4,1: 93:[7, 117] Operation: 87+30=117 Exploring Operation: 7+30=37, Resulting Numbers: [87, 37] Generated Node #0,4,2: 93:[87, 37] Operation: 7+30=37 Exploring Operation: 87+7=94, Resulting Numbers: [30, 94] Generated Node #0,4,3: 93:[30, 94] Operation: 87+7=94 Exploring Operation: 30-7=23, Resulting Numbers: [87, 23] Generated Node #0,4,4: 93:[87, 23] Operation: 30-7=23 Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 93:[30, 94], Operations: ['2*15=30', '87+7=94'] Exploring Operation: 30*94=2820, Resulting Numbers: [2820] 2820,93 unequal: No Solution Exploring Operation: 30+94=124, Resulting Numbers: [124] 124,93 unequal: No Solution Exploring Operation: 94-30=64, Resulting Numbers: [64] 64,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 93:[87, 37], Operations: ['2*15=30', '7+30=37'] Exploring Operation: 87+37=124, Resulting Numbers: [124] 124,93 unequal: No Solution Exploring Operation: 87*37=3219, Resulting Numbers: [3219] 3219,93 unequal: No Solution Exploring Operation: 87-37=50, Resulting Numbers: [50] 50,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 93:[30, 80], Operations: ['2*15=30', '87-7=80'] Exploring Operation: 80-30=50, Resulting Numbers: [50] 50,93 unequal: No Solution Exploring Operation: 30+80=110, Resulting Numbers: [110] 110,93 unequal: No Solution Exploring Operation: 30*80=2400, Resulting Numbers: [2400] 2400,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 93:[87, 23], Operations: ['2*15=30', '30-7=23'] Exploring Operation: 87*23=2001, Resulting Numbers: [2001] 2001,93 unequal: No Solution Exploring Operation: 87-23=64, Resulting Numbers: [64] 64,93 unequal: No Solution Exploring Operation: 87+23=110, Resulting Numbers: [110] 110,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 93:[7, 117], Operations: ['2*15=30', '87+30=117'] Exploring Operation: 7+117=124, Resulting Numbers: [124] 124,93 unequal: No Solution Exploring Operation: 117-7=110, Resulting Numbers: [110] 110,93 unequal: No Solution Exploring Operation: 7*117=819, Resulting Numbers: [819] 819,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 93:[87, 2, 8], Operations: ['15-7=8'] Exploring Operation: 87-2=85, Resulting Numbers: [8, 85] Generated Node #0,3,0: 93:[8, 85] Operation: 87-2=85 Exploring Operation: 87+2=89, Resulting Numbers: [8, 89] Generated Node #0,3,1: 93:[8, 89] Operation: 87+2=89 Exploring Operation: 8-2=6, Resulting Numbers: [87, 6] Generated Node #0,3,2: 93:[87, 6] Operation: 8-2=6 Exploring Operation: 87+8=95, Resulting Numbers: [2, 95] Generated Node #0,3,3: 93:[2, 95] Operation: 87+8=95 Exploring Operation: 8/2=4, Resulting Numbers: [87, 4] Generated Node #0,3,4: 93:[87, 4] Operation: 8/2=4 Moving to Node #0,3,3 Current State: 93:[2, 95], Operations: ['15-7=8', '87+8=95'] Exploring Operation: 2+95=97, Resulting Numbers: [97] 97,93 unequal: No Solution Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[87, 7, 2, 15], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [87, 2, 8] Generated Node #0,3: 93:[87, 2, 8] Operation: 15-7=8 Moving to Node #0,3 Current State: 93:[87, 2, 8], Operations: ['15-7=8'] Exploring Operation: 87+8=95, Resulting Numbers: [2, 95] Generated Node #0,3,3: 93:[2, 95] Operation: 87+8=95 Moving to Node #0,3,3 Current State: 93:[2, 95], Operations: ['15-7=8', '87+8=95'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 1
0.96875
hs_5
mult_heuristic
[ 69, 4, 71, 18 ]
69
[ "4*18=72", "72-71=1", "69*1=69" ]
Current State: 69:[69, 4, 71, 18], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [69, 71, 72] Generated Node #2: [69, 71, 72] from Operation: 4*18=72 Current State: 69:[69, 71, 72], Operations: ['4*18=72'] Exploring Operation: 72-71=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 72-71=1 Current State: 69:[69, 1], Operations: ['4*18=72', '72-71=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[69, 4, 71, 18], Operations: [] Exploring Operation: 4+18=22, Resulting Numbers: [69, 71, 22] Generated Node #0,0: 69:[69, 71, 22] Operation: 4+18=22 Moving to Node #0,0 Current State: 69:[69, 71, 22], Operations: ['4+18=22'] Exploring Operation: 71-69=2, Resulting Numbers: [22, 2] Generated Node #0,0,0: 69:[22, 2] Operation: 71-69=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 69:[22, 2], Operations: ['4+18=22', '71-69=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 5, 22, 5, 50 ]
17
[ "5+22=27", "50/5=10", "27-10=17" ]
Current State: 17:[5, 22, 5, 50], Operations: [] Exploring Operation: 5+22=27, Resulting Numbers: [50, 27] Generated Node #2: [50, 27] from Operation: 5+22=27 Current State: 17:[50, 27], Operations: ['5+22=27'] Exploring Operation: 50/5=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 50/5=10 Current State: 17:[27, 10], Operations: ['5+22=27', '50/5=10'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[5, 22, 5, 50], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [22, 5, 10] Generated Node #0,0: 17:[22, 5, 10] Operation: 50/5=10 Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[22, 5, 10], Operations: ['50/5=10'] Exploring Operation: 22-5=17, Resulting Numbers: [10, 17] Generated Node #0,0,0: 17:[10, 17] Operation: 22-5=17 Moving to Node #0,0,0 Current State: 17:[10, 17], Operations: ['50/5=10', '22-5=17'] Exploring Operation: 10+17=27, Resulting Numbers: [27] 27,17 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
[ 3, 43, 95, 16 ]
38
[ "43-3=40", "95*16=1520", "1520/40=38" ]
Current State: 38:[3, 43, 95, 16], Operations: [] Exploring Operation: 43-3=40, Resulting Numbers: [95, 16, 40] Generated Node #2: [95, 16, 40] from Operation: 43-3=40 Current State: 38:[95, 16, 40], Operations: ['43-3=40'] Exploring Operation: 95*16=1520, Resulting Numbers: [40, 1520] Generated Node #3: [40, 1520] from Operation: 95*16=1520 Current State: 38:[40, 1520], Operations: ['43-3=40', '95*16=1520'] Exploring Operation: 1520/40=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[3, 43, 95, 16], Operations: [] Exploring Operation: 95-16=79, Resulting Numbers: [3, 43, 79] Generated Node #0,0: 38:[3, 43, 79] Operation: 95-16=79 Exploring Operation: 95-3=92, Resulting Numbers: [43, 16, 92] Generated Node #0,1: 38:[43, 16, 92] Operation: 95-3=92 Exploring Operation: 43-3=40, Resulting Numbers: [95, 16, 40] Generated Node #0,2: 38:[95, 16, 40] Operation: 43-3=40 Exploring Operation: 95-43=52, Resulting Numbers: [3, 16, 52] Generated Node #0,3: 38:[3, 16, 52] Operation: 95-43=52 Moving to Node #0,3 Current State: 38:[3, 16, 52], Operations: ['95-43=52'] Exploring Operation: 52-16=36, Resulting Numbers: [3, 36] Generated Node #0,3,0: 38:[3, 36] Operation: 52-16=36 Exploring Operation: 52-3=49, Resulting Numbers: [16, 49] Generated Node #0,3,1: 38:[16, 49] Operation: 52-3=49 Exploring Operation: 3+16=19, Resulting Numbers: [52, 19] Generated Node #0,3,2: 38:[52, 19] Operation: 3+16=19 Exploring Operation: 16-3=13, Resulting Numbers: [52, 13] Generated Node #0,3,3: 38:[52, 13] Operation: 16-3=13 Moving to Node #0,0 Current State: 38:[3, 43, 79], Operations: ['95-16=79'] Exploring Operation: 3+43=46, Resulting Numbers: [79, 46] Generated Node #0,0,0: 38:[79, 46] Operation: 3+43=46 Exploring Operation: 79-43=36, Resulting Numbers: [3, 36] Generated Node #0,0,1: 38:[3, 36] Operation: 79-43=36 Exploring Operation: 79-3=76, Resulting Numbers: [43, 76] Generated Node #0,0,2: 38:[43, 76] Operation: 79-3=76 Exploring Operation: 43-3=40, Resulting Numbers: [79, 40] Generated Node #0,0,3: 38:[79, 40] Operation: 43-3=40 Moving to Node #0,2 Current State: 38:[95, 16, 40], Operations: ['43-3=40'] Exploring Operation: 95-16=79, Resulting Numbers: [40, 79] Generated Node #0,2,0: 38:[40, 79] Operation: 95-16=79 Exploring Operation: 95-40=55, Resulting Numbers: [16, 55] Generated Node #0,2,1: 38:[16, 55] Operation: 95-40=55 Exploring Operation: 95+16=111, Resulting Numbers: [40, 111] Generated Node #0,2,2: 38:[40, 111] Operation: 95+16=111 Exploring Operation: 40-16=24, Resulting Numbers: [95, 24] Generated Node #0,2,3: 38:[95, 24] Operation: 40-16=24 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 38:[16, 55], Operations: ['43-3=40', '95-40=55'] Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,38 unequal: No Solution Exploring Operation: 55-16=39, Resulting Numbers: [39] 39,38 unequal: No Solution Exploring Operation: 16*55=880, Resulting Numbers: [880] 880,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 38:[40, 79], Operations: ['43-3=40', '95-16=79'] Exploring Operation: 40+79=119, Resulting Numbers: [119] 119,38 unequal: No Solution Exploring Operation: 40*79=3160, Resulting Numbers: [3160] 3160,38 unequal: No Solution Exploring Operation: 79-40=39, Resulting Numbers: [39] 39,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 38:[95, 24], Operations: ['43-3=40', '40-16=24'] Exploring Operation: 95*24=2280, Resulting Numbers: [2280] 2280,38 unequal: No Solution Exploring Operation: 95-24=71, Resulting Numbers: [71] 71,38 unequal: No Solution Exploring Operation: 95+24=119, Resulting Numbers: [119] 119,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 38:[40, 111], Operations: ['43-3=40', '95+16=111'] Exploring Operation: 40+111=151, Resulting Numbers: [151] 151,38 unequal: No Solution Exploring Operation: 111-40=71, Resulting Numbers: [71] 71,38 unequal: No Solution Exploring Operation: 40*111=4440, Resulting Numbers: [4440] 4440,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 38:[43, 16, 92], Operations: ['95-3=92'] Exploring Operation: 43+16=59, Resulting Numbers: [92, 59] Generated Node #0,1,0: 38:[92, 59] Operation: 43+16=59 Exploring Operation: 92-43=49, Resulting Numbers: [16, 49] Generated Node #0,1,1: 38:[16, 49] Operation: 92-43=49 Exploring Operation: 92-16=76, Resulting Numbers: [43, 76] Generated Node #0,1,2: 38:[43, 76] Operation: 92-16=76 Exploring Operation: 43-16=27, Resulting Numbers: [92, 27] Generated Node #0,1,3: 38:[92, 27] Operation: 43-16=27 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 38:[16, 49], Operations: ['95-3=92', '92-43=49'] Exploring Operation: 16*49=784, Resulting Numbers: [784] 784,38 unequal: No Solution Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 16+49=65, Resulting Numbers: [65] 65,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 38:[43, 76], Operations: ['95-3=92', '92-16=76'] Exploring Operation: 43*76=3268, Resulting Numbers: [3268] 3268,38 unequal: No Solution Exploring Operation: 43+76=119, Resulting Numbers: [119] 119,38 unequal: No Solution Exploring Operation: 76-43=33, Resulting Numbers: [33] 33,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 38:[92, 27], Operations: ['95-3=92', '43-16=27'] Exploring Operation: 92*27=2484, Resulting Numbers: [2484] 2484,38 unequal: No Solution Exploring Operation: 92-27=65, Resulting Numbers: [65] 65,38 unequal: No Solution Exploring Operation: 92+27=119, Resulting Numbers: [119] 119,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 38:[92, 59], Operations: ['95-3=92', '43+16=59'] Exploring Operation: 92+59=151, Resulting Numbers: [151] 151,38 unequal: No Solution Exploring Operation: 92-59=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 92*59=5428, Resulting Numbers: [5428] 5428,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 38:[3, 36], Operations: ['95-43=52', '52-16=36'] Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,38 unequal: No Solution Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,38 unequal: No Solution Exploring Operation: 3*36=108, Resulting Numbers: [108] 108,38 unequal: No Solution Moving to Node #0,0,1 Current State: 38:[3, 36], Operations: ['95-16=79', '79-43=36'] Exploring Operation: 3*36=108, Resulting Numbers: [108] 108,38 unequal: No Solution Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,38 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,38 unequal: No Solution Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,38 unequal: No Solution Moving to Node #0,3,2 Current State: 38:[52, 19], Operations: ['95-43=52', '3+16=19'] Exploring Operation: 52+19=71, Resulting Numbers: [71] 71,38 unequal: No Solution Exploring Operation: 52-19=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 52*19=988, Resulting Numbers: [988] 988,38 unequal: No Solution Moving to Node #0,3,1 Current State: 38:[16, 49], Operations: ['95-43=52', '52-3=49'] Exploring Operation: 16*49=784, Resulting Numbers: [784] 784,38 unequal: No Solution Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,38 unequal: No Solution Exploring Operation: 16+49=65, Resulting Numbers: [65] 65,38 unequal: No Solution Moving to Node #0,3,3 Current State: 38:[52, 13], Operations: ['95-43=52', '16-3=13'] Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,38 unequal: No Solution Exploring Operation: 52+13=65, Resulting Numbers: [65] 65,38 unequal: No Solution Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,38 unequal: No Solution Exploring Operation: 52*13=676, Resulting Numbers: [676] 676,38 unequal: No Solution Moving to Node #0,0,2 Current State: 38:[43, 76], Operations: ['95-16=79', '79-3=76'] Exploring Operation: 43*76=3268, Resulting Numbers: [3268] 3268,38 unequal: No Solution Exploring Operation: 43+76=119, Resulting Numbers: [119] 119,38 unequal: No Solution Exploring Operation: 76-43=33, Resulting Numbers: [33] 33,38 unequal: No Solution Moving to Node #0,0,3 Current State: 38:[79, 40], Operations: ['95-16=79', '43-3=40'] Exploring Operation: 79+40=119, Resulting Numbers: [119] 119,38 unequal: No Solution Exploring Operation: 79*40=3160, Resulting Numbers: [3160] 3160,38 unequal: No Solution Exploring Operation: 79-40=39, Resulting Numbers: [39] 39,38 unequal: No Solution Moving to Node #0,0,0 Current State: 38:[79, 46], Operations: ['95-16=79', '3+43=46'] Exploring Operation: 79+46=125, Resulting Numbers: [125] 125,38 unequal: No Solution Exploring Operation: 79*46=3634, Resulting Numbers: [3634] 3634,38 unequal: No Solution Exploring Operation: 79-46=33, Resulting Numbers: [33] 33,38 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 23, 2, 22, 44 ]
78
[ "23+44=67", "22/2=11", "67+11=78" ]
Current State: 78:[23, 2, 22, 44], Operations: [] Exploring Operation: 23+44=67, Resulting Numbers: [2, 22, 67] Generated Node #2: [2, 22, 67] from Operation: 23+44=67 Current State: 78:[2, 22, 67], Operations: ['23+44=67'] Exploring Operation: 22/2=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 22/2=11 Current State: 78:[67, 11], Operations: ['23+44=67', '22/2=11'] Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[23, 2, 22, 44], Operations: [] Exploring Operation: 23-22=1, Resulting Numbers: [2, 44, 1] Generated Node #0,0: 78:[2, 44, 1] Operation: 23-22=1 Exploring Operation: 44/22=2, Resulting Numbers: [23, 2, 2] Generated Node #0,1: 78:[23, 2, 2] Operation: 44/22=2 Exploring Operation: 44-22=22, Resulting Numbers: [23, 2, 22] Generated Node #0,2: 78:[23, 2, 22] Operation: 44-22=22 Exploring Operation: 44-23=21, Resulting Numbers: [2, 22, 21] Generated Node #0,3: 78:[2, 22, 21] Operation: 44-23=21 Exploring Operation: 23+2=25, Resulting Numbers: [22, 44, 25] Generated Node #0,4: 78:[22, 44, 25] Operation: 23+2=25 Start Sub Search at level 1: Moving to Node #0,1 Current State: 78:[23, 2, 2], Operations: ['44/22=2'] Exploring Operation: 23+2=25, Resulting Numbers: [2, 25] Generated Node #0,1,0: 78:[2, 25] Operation: 23+2=25 Exploring Operation: 2+2=4, Resulting Numbers: [23, 4] Generated Node #0,1,1: 78:[23, 4] Operation: 2+2=4 Exploring Operation: 2/2=1, Resulting Numbers: [23, 1] Generated Node #0,1,2: 78:[23, 1] Operation: 2/2=1 Exploring Operation: 23+2=25, Resulting Numbers: [2, 25] Generated Node #0,1,3: 78:[2, 25] Operation: 23+2=25 Exploring Operation: 2*2=4, Resulting Numbers: [23, 4] Generated Node #0,1,4: 78:[23, 4] Operation: 2*2=4 Moving to Node #0,1,0 Current State: 78:[2, 25], Operations: ['44/22=2', '23+2=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,78 unequal: No Solution Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,78 unequal: No Solution Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,78 unequal: No Solution Moving to Node #0,1,3 Current State: 78:[2, 25], Operations: ['44/22=2', '23+2=25'] Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,78 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,78 unequal: No Solution Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,78 unequal: No Solution Moving to Node #0,1,1 Current State: 78:[23, 4], Operations: ['44/22=2', '2+2=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,78 unequal: No Solution Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,78 unequal: No Solution Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,78 unequal: No Solution Moving to Node #0,1,2 Current State: 78:[23, 1], Operations: ['44/22=2', '2/2=1'] Exploring Operation: 23/1=23, Resulting Numbers: [23] 23,78 unequal: No Solution Exploring Operation: 23+1=24, Resulting Numbers: [24] 24,78 unequal: No Solution Exploring Operation: 23*1=23, Resulting Numbers: [23] 23,78 unequal: No Solution Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,78 unequal: No Solution Moving to Node #0,1,4 Current State: 78:[23, 4], Operations: ['44/22=2', '2*2=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,78 unequal: No Solution Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,78 unequal: No Solution Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,78 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[2, 44, 1], Operations: ['23-22=1'] Exploring Operation: 2+1=3, Resulting Numbers: [44, 3] Generated Node #0,0,0: 78:[44, 3] Operation: 2+1=3 Exploring Operation: 44/2=22, Resulting Numbers: [1, 22] Generated Node #0,0,1: 78:[1, 22] Operation: 44/2=22 Exploring Operation: 2*1=2, Resulting Numbers: [44, 2] Generated Node #0,0,2: 78:[44, 2] Operation: 2*1=2 Exploring Operation: 44-2=42, Resulting Numbers: [1, 42] Generated Node #0,0,3: 78:[1, 42] Operation: 44-2=42 Exploring Operation: 44-1=43, Resulting Numbers: [2, 43] Generated Node #0,0,4: 78:[2, 43] Operation: 44-1=43 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 78:[1, 42], Operations: ['23-22=1', '44-2=42'] Exploring Operation: 1+42=43, Resulting Numbers: [43] 43,78 unequal: No Solution Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,78 unequal: No Solution Exploring Operation: 1*42=42, Resulting Numbers: [42] 42,78 unequal: No Solution Exploring Operation: 42/1=42, Resulting Numbers: [42] 42,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 78:[2, 43], Operations: ['23-22=1', '44-1=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,78 unequal: No Solution Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,78 unequal: No Solution Exploring Operation: 2+43=45, Resulting Numbers: [45] 45,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 78:[44, 3], Operations: ['23-22=1', '2+1=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,78 unequal: No Solution Exploring Operation: 44*3=132, Resulting Numbers: [132] 132,78 unequal: No Solution Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 78:[1, 22], Operations: ['23-22=1', '44/2=22'] Exploring Operation: 22-1=21, Resulting Numbers: [21] 21,78 unequal: No Solution Exploring Operation: 1*22=22, Resulting Numbers: [22] 22,78 unequal: No Solution Exploring Operation: 22/1=22, Resulting Numbers: [22] 22,78 unequal: No Solution Exploring Operation: 1+22=23, Resulting Numbers: [23] 23,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 78:[44, 2], Operations: ['23-22=1', '2*1=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,78 unequal: No Solution Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,78 unequal: No Solution Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,78 unequal: No Solution Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 78:[23, 2, 22], Operations: ['44-22=22'] Exploring Operation: 23+22=45, Resulting Numbers: [2, 45] Generated Node #0,2,0: 78:[2, 45] Operation: 23+22=45 Exploring Operation: 2+22=24, Resulting Numbers: [23, 24] Generated Node #0,2,1: 78:[23, 24] Operation: 2+22=24 Exploring Operation: 23-22=1, Resulting Numbers: [2, 1] Generated Node #0,2,2: 78:[2, 1] Operation: 23-22=1 Exploring Operation: 23+2=25, Resulting Numbers: [22, 25] Generated Node #0,2,3: 78:[22, 25] Operation: 23+2=25 Exploring Operation: 22/2=11, Resulting Numbers: [23, 11] Generated Node #0,2,4: 78:[23, 11] Operation: 22/2=11 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 78:[2, 1], Operations: ['44-22=22', '23-22=1'] Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2-1=1, Resulting Numbers: [1] 1,78 unequal: No Solution No 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: 78:[23, 24], Operations: ['44-22=22', '2+22=24'] Exploring Operation: 24-23=1, Resulting Numbers: [1] 1,78 unequal: No Solution Exploring Operation: 23+24=47, Resulting Numbers: [47] 47,78 unequal: No Solution Exploring Operation: 23*24=552, Resulting Numbers: [552] 552,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 78:[22, 25], Operations: ['44-22=22', '23+2=25'] Exploring Operation: 25-22=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 22+25=47, Resulting Numbers: [47] 47,78 unequal: No Solution Exploring Operation: 22*25=550, Resulting Numbers: [550] 550,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 78:[23, 11], Operations: ['44-22=22', '22/2=11'] Exploring Operation: 23-11=12, Resulting Numbers: [12] 12,78 unequal: No Solution Exploring Operation: 23*11=253, Resulting Numbers: [253] 253,78 unequal: No Solution Exploring Operation: 23+11=34, Resulting Numbers: [34] 34,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 78:[2, 45], Operations: ['44-22=22', '23+22=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,78 unequal: No Solution Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,78 unequal: No Solution Exploring Operation: 2+45=47, Resulting Numbers: [47] 47,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 78:[2, 22, 21], Operations: ['44-23=21'] Exploring Operation: 22/2=11, Resulting Numbers: [21, 11] Generated Node #0,3,0: 78:[21, 11] Operation: 22/2=11 Exploring Operation: 22-21=1, Resulting Numbers: [2, 1] Generated Node #0,3,1: 78:[2, 1] Operation: 22-21=1 Exploring Operation: 22+21=43, Resulting Numbers: [2, 43] Generated Node #0,3,2: 78:[2, 43] Operation: 22+21=43 Exploring Operation: 2+21=23, Resulting Numbers: [22, 23] Generated Node #0,3,3: 78:[22, 23] Operation: 2+21=23 Exploring Operation: 2+22=24, Resulting Numbers: [21, 24] Generated Node #0,3,4: 78:[21, 24] Operation: 2+22=24 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 78:[2, 1], Operations: ['44-23=21', '22-21=1'] Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,78 unequal: No Solution Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 2-1=1, Resulting Numbers: [1] 1,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 78:[2, 43], Operations: ['44-23=21', '22+21=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,78 unequal: No Solution Exploring Operation: 2+43=45, Resulting Numbers: [45] 45,78 unequal: No Solution Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 78:[21, 11], Operations: ['44-23=21', '22/2=11'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,78 unequal: No Solution Exploring Operation: 21*11=231, Resulting Numbers: [231] 231,78 unequal: No Solution Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 78:[22, 23], Operations: ['44-23=21', '2+21=23'] Exploring Operation: 22*23=506, Resulting Numbers: [506] 506,78 unequal: No Solution Exploring Operation: 23-22=1, Resulting Numbers: [1] 1,78 unequal: No Solution Exploring Operation: 22+23=45, Resulting Numbers: [45] 45,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 78:[21, 24], Operations: ['44-23=21', '2+22=24'] Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,78 unequal: No Solution Exploring Operation: 21*24=504, Resulting Numbers: [504] 504,78 unequal: No Solution Exploring Operation: 24-21=3, Resulting Numbers: [3] 3,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 78:[22, 44, 25], Operations: ['23+2=25'] Exploring Operation: 44-22=22, Resulting Numbers: [25, 22] Generated Node #0,4,0: 78:[25, 22] Operation: 44-22=22 Exploring Operation: 25-22=3, Resulting Numbers: [44, 3] Generated Node #0,4,1: 78:[44, 3] Operation: 25-22=3 Exploring Operation: 44/22=2, Resulting Numbers: [25, 2] Generated Node #0,4,2: 78:[25, 2] Operation: 44/22=2 Exploring Operation: 22+44=66, Resulting Numbers: [25, 66] Generated Node #0,4,3: 78:[25, 66] Operation: 22+44=66 Exploring Operation: 44-25=19, Resulting Numbers: [22, 19] Generated Node #0,4,4: 78:[22, 19] Operation: 44-25=19 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 78:[25, 2], Operations: ['23+2=25', '44/22=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,78 unequal: No Solution Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,78 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 78:[25, 22], Operations: ['23+2=25', '44-22=22'] Exploring Operation: 25*22=550, Resulting Numbers: [550] 550,78 unequal: No Solution Exploring Operation: 25-22=3, Resulting Numbers: [3] 3,78 unequal: No Solution Exploring Operation: 25+22=47, Resulting Numbers: [47] 47,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 78:[44, 3], Operations: ['23+2=25', '25-22=3'] Exploring Operation: 44*3=132, Resulting Numbers: [132] 132,78 unequal: No Solution Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,78 unequal: No Solution Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 78:[22, 19], Operations: ['23+2=25', '44-25=19'] Exploring Operation: 22*19=418, Resulting Numbers: [418] 418,78 unequal: No Solution Exploring Operation: 22+19=41, Resulting Numbers: [41] 41,78 unequal: No Solution Exploring Operation: 22-19=3, Resulting Numbers: [3] 3,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 78:[25, 66], Operations: ['23+2=25', '22+44=66'] Exploring Operation: 25*66=1650, Resulting Numbers: [1650] 1650,78 unequal: No Solution Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,78 unequal: No Solution Exploring Operation: 25+66=91, Resulting Numbers: [91] 91,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 13, 19, 48, 67 ]
14
[ "19+48=67", "67/67=1", "13+1=14" ]
Current State: 14:[13, 19, 48, 67], Operations: [] Exploring Operation: 19+48=67, Resulting Numbers: [13, 67, 67] Generated Node #2: [13, 67, 67] from Operation: 19+48=67 Current State: 14:[13, 67, 67], Operations: ['19+48=67'] Exploring Operation: 67/67=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 67/67=1 Current State: 14:[13, 1], Operations: ['19+48=67', '67/67=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[13, 19, 48, 67], Operations: [] Exploring Operation: 48-19=29, Resulting Numbers: [13, 67, 29] Generated Node #0,0: 14:[13, 67, 29] Operation: 48-19=29 Exploring Operation: 67-48=19, Resulting Numbers: [13, 19, 19] Generated Node #0,1: 14:[13, 19, 19] Operation: 67-48=19 Moving to Node #0,1 Current State: 14:[13, 19, 19], Operations: ['67-48=19'] Exploring Operation: 19/19=1, Resulting Numbers: [13, 1] Generated Node #0,1,0: 14:[13, 1] Operation: 19/19=1 Exploring Operation: 19-19=0, Resulting Numbers: [13, 0] Generated Node #0,1,1: 14:[13, 0] Operation: 19-19=0 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 14:[13, 1], Operations: ['67-48=19', '19/19=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,14 unequal: No Solution Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[13, 19, 48, 67], Operations: [] Exploring Operation: 67-48=19, Resulting Numbers: [13, 19, 19] Generated Node #0,1: 14:[13, 19, 19] Operation: 67-48=19 Moving to Node #0,1 Current State: 14:[13, 19, 19], Operations: ['67-48=19'] Exploring Operation: 19/19=1, Resulting Numbers: [13, 1] Generated Node #0,1,0: 14:[13, 1] Operation: 19/19=1 Moving to Node #0,1,0 Current State: 14:[13, 1], Operations: ['67-48=19', '19/19=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
mult_heuristic
[ 83, 36, 36, 9 ]
74
[ "83+36=119", "36+9=45", "119-45=74" ]
Current State: 74:[83, 36, 36, 9], Operations: [] Exploring Operation: 83+36=119, Resulting Numbers: [9, 119] Generated Node #2: [9, 119] from Operation: 83+36=119 Current State: 74:[9, 119], Operations: ['83+36=119'] Exploring Operation: 36+9=45, Resulting Numbers: [119, 45] Generated Node #3: [119, 45] from Operation: 36+9=45 Current State: 74:[119, 45], Operations: ['83+36=119', '36+9=45'] Exploring Operation: 119-45=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[83, 36, 36, 9], Operations: [] Exploring Operation: 83-9=74, Resulting Numbers: [36, 36, 74] Generated Node #0,0: 74:[36, 36, 74] Operation: 83-9=74 Start Sub Search at level 1: Moving to Node #0,0 Current State: 74:[36, 36, 74], Operations: ['83-9=74'] Exploring Operation: 36/36=1, Resulting Numbers: [74, 1] Generated Node #0,0,0: 74:[74, 1] Operation: 36/36=1 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 74:[74, 1], Operations: ['83-9=74', '36/36=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[83, 36, 36, 9], Operations: [] Exploring Operation: 83-9=74, Resulting Numbers: [36, 36, 74] Generated Node #0,0: 74:[36, 36, 74] Operation: 83-9=74 Moving to Node #0,0 Current State: 74:[36, 36, 74], Operations: ['83-9=74'] Exploring Operation: 36/36=1, Resulting Numbers: [74, 1] Generated Node #0,0,0: 74:[74, 1] Operation: 36/36=1 Moving to Node #0,0,0 Current State: 74:[74, 1], Operations: ['83-9=74', '36/36=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 97, 33, 67, 97 ]
33
[ "97-97=0", "67*0=0", "33+0=33" ]
Current State: 33:[97, 33, 67, 97], Operations: [] Exploring Operation: 97-97=0, Resulting Numbers: [33, 67, 0] Generated Node #2: [33, 67, 0] from Operation: 97-97=0 Current State: 33:[33, 67, 0], Operations: ['97-97=0'] Exploring Operation: 67*0=0, Resulting Numbers: [33, 0] Generated Node #3: [33, 0] from Operation: 67*0=0 Current State: 33:[33, 0], Operations: ['97-97=0', '67*0=0'] Exploring Operation: 33+0=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[97, 33, 67, 97], Operations: [] Exploring Operation: 97-67=30, Resulting Numbers: [97, 33, 30] Generated Node #0,0: 33:[97, 33, 30] Operation: 97-67=30 Exploring Operation: 97/97=1, Resulting Numbers: [33, 67, 1] Generated Node #0,1: 33:[33, 67, 1] Operation: 97/97=1 Exploring Operation: 97-33=64, Resulting Numbers: [67, 97, 64] Generated Node #0,2: 33:[67, 97, 64] Operation: 97-33=64 Exploring Operation: 97-97=0, Resulting Numbers: [33, 67, 0] Generated Node #0,3: 33:[33, 67, 0] Operation: 97-97=0 Exploring Operation: 97-67=30, Resulting Numbers: [33, 97, 30] Generated Node #0,4: 33:[33, 97, 30] Operation: 97-67=30 Moving to Node #0,1 Current State: 33:[33, 67, 1], Operations: ['97/97=1'] Exploring Operation: 33/1=33, Resulting Numbers: [67, 33] Generated Node #0,1,0: 33:[67, 33] Operation: 33/1=33 Exploring Operation: 67-1=66, Resulting Numbers: [33, 66] Generated Node #0,1,1: 33:[33, 66] Operation: 67-1=66 Exploring Operation: 33*1=33, Resulting Numbers: [67, 33] Generated Node #0,1,2: 33:[67, 33] Operation: 33*1=33 Exploring Operation: 67*1=67, Resulting Numbers: [33, 67] Generated Node #0,1,3: 33:[33, 67] Operation: 67*1=67 Exploring Operation: 67-33=34, Resulting Numbers: [1, 34] Generated Node #0,1,4: 33:[1, 34] Operation: 67-33=34 Moving to Node #0,3 Current State: 33:[33, 67, 0], Operations: ['97-97=0'] Exploring Operation: 33+0=33, Resulting Numbers: [67, 33] Generated Node #0,3,0: 33:[67, 33] Operation: 33+0=33 Exploring Operation: 67*0=0, Resulting Numbers: [33, 0] Generated Node #0,3,1: 33:[33, 0] Operation: 67*0=0 Exploring Operation: 33-0=33, Resulting Numbers: [67, 33] Generated Node #0,3,2: 33:[67, 33] Operation: 33-0=33 Exploring Operation: 67-33=34, Resulting Numbers: [0, 34] Generated Node #0,3,3: 33:[0, 34] Operation: 67-33=34 Exploring Operation: 67+0=67, Resulting Numbers: [33, 67] Generated Node #0,3,4: 33:[33, 67] Operation: 67+0=67 Moving to Node #0,0 Current State: 33:[97, 33, 30], Operations: ['97-67=30'] Exploring Operation: 33+30=63, Resulting Numbers: [97, 63] Generated Node #0,0,0: 33:[97, 63] Operation: 33+30=63 Exploring Operation: 97-33=64, Resulting Numbers: [30, 64] Generated Node #0,0,1: 33:[30, 64] Operation: 97-33=64 Exploring Operation: 97+30=127, Resulting Numbers: [33, 127] Generated Node #0,0,2: 33:[33, 127] Operation: 97+30=127 Exploring Operation: 97-30=67, Resulting Numbers: [33, 67] Generated Node #0,0,3: 33:[33, 67] Operation: 97-30=67 Exploring Operation: 33-30=3, Resulting Numbers: [97, 3] Generated Node #0,0,4: 33:[97, 3] Operation: 33-30=3 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 33:[30, 64], Operations: ['97-67=30', '97-33=64'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 30*64=1920, Resulting Numbers: [1920] 1920,33 unequal: No Solution Exploring Operation: 30+64=94, Resulting Numbers: [94] 94,33 unequal: No Solution No 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: 33:[33, 67], Operations: ['97-67=30', '97-30=67'] Exploring Operation: 67-33=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 33*67=2211, Resulting Numbers: [2211] 2211,33 unequal: No Solution Exploring Operation: 33+67=100, Resulting Numbers: [100] 100,33 unequal: No Solution No 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: 33:[97, 3], Operations: ['97-67=30', '33-30=3'] Exploring Operation: 97*3=291, Resulting Numbers: [291] 291,33 unequal: No Solution Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,33 unequal: No Solution Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,33 unequal: No Solution No 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: 33:[97, 63], Operations: ['97-67=30', '33+30=63'] Exploring Operation: 97-63=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 97*63=6111, Resulting Numbers: [6111] 6111,33 unequal: No Solution Exploring Operation: 97+63=160, Resulting Numbers: [160] 160,33 unequal: No Solution No 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: 33:[33, 127], Operations: ['97-67=30', '97+30=127'] Exploring Operation: 33*127=4191, Resulting Numbers: [4191] 4191,33 unequal: No Solution Exploring Operation: 127-33=94, Resulting Numbers: [94] 94,33 unequal: No Solution Exploring Operation: 33+127=160, Resulting Numbers: [160] 160,33 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: 33:[33, 97, 30], Operations: ['97-67=30'] Exploring Operation: 33-30=3, Resulting Numbers: [97, 3] Generated Node #0,4,0: 33:[97, 3] Operation: 33-30=3 Exploring Operation: 97-30=67, Resulting Numbers: [33, 67] Generated Node #0,4,1: 33:[33, 67] Operation: 97-30=67 Exploring Operation: 97+30=127, Resulting Numbers: [33, 127] Generated Node #0,4,2: 33:[33, 127] Operation: 97+30=127 Exploring Operation: 33+30=63, Resulting Numbers: [97, 63] Generated Node #0,4,3: 33:[97, 63] Operation: 33+30=63 Exploring Operation: 97-33=64, Resulting Numbers: [30, 64] Generated Node #0,4,4: 33:[30, 64] Operation: 97-33=64 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 33:[33, 67], Operations: ['97-67=30', '97-30=67'] Exploring Operation: 33*67=2211, Resulting Numbers: [2211] 2211,33 unequal: No Solution Exploring Operation: 67-33=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 33+67=100, Resulting Numbers: [100] 100,33 unequal: No Solution No 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: 33:[30, 64], Operations: ['97-67=30', '97-33=64'] Exploring Operation: 30*64=1920, Resulting Numbers: [1920] 1920,33 unequal: No Solution Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 30+64=94, Resulting Numbers: [94] 94,33 unequal: No Solution No 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: 33:[97, 3], Operations: ['97-67=30', '33-30=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,33 unequal: No Solution Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,33 unequal: No Solution Exploring Operation: 97*3=291, Resulting Numbers: [291] 291,33 unequal: No Solution No 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: 33:[33, 127], Operations: ['97-67=30', '97+30=127'] Exploring Operation: 127-33=94, Resulting Numbers: [94] 94,33 unequal: No Solution Exploring Operation: 33+127=160, Resulting Numbers: [160] 160,33 unequal: No Solution Exploring Operation: 33*127=4191, Resulting Numbers: [4191] 4191,33 unequal: No Solution No 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: 33:[97, 63], Operations: ['97-67=30', '33+30=63'] Exploring Operation: 97-63=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 97+63=160, Resulting Numbers: [160] 160,33 unequal: No Solution Exploring Operation: 97*63=6111, Resulting Numbers: [6111] 6111,33 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: 33:[67, 97, 64], Operations: ['97-33=64'] Exploring Operation: 97-64=33, Resulting Numbers: [67, 33] Generated Node #0,2,0: 33:[67, 33] Operation: 97-64=33 Exploring Operation: 67-64=3, Resulting Numbers: [97, 3] Generated Node #0,2,1: 33:[97, 3] Operation: 67-64=3 Exploring Operation: 97-67=30, Resulting Numbers: [64, 30] Generated Node #0,2,2: 33:[64, 30] Operation: 97-67=30 Exploring Operation: 67+97=164, Resulting Numbers: [64, 164] Generated Node #0,2,3: 33:[64, 164] Operation: 67+97=164 Exploring Operation: 67+64=131, Resulting Numbers: [97, 131] Generated Node #0,2,4: 33:[97, 131] Operation: 67+64=131 Moving to Node #0,1,4 Current State: 33:[1, 34], Operations: ['97/97=1', '67-33=34'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,33 unequal: No Solution Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[97, 33, 67, 97], Operations: [] Exploring Operation: 97/97=1, Resulting Numbers: [33, 67, 1] Generated Node #0,1: 33:[33, 67, 1] Operation: 97/97=1 Moving to Node #0,1 Current State: 33:[33, 67, 1], Operations: ['97/97=1'] Exploring Operation: 67-33=34, Resulting Numbers: [1, 34] Generated Node #0,1,4: 33:[1, 34] Operation: 67-33=34 Moving to Node #0,1,4 Current State: 33:[1, 34], Operations: ['97/97=1', '67-33=34'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
0.94184
hs_5
sum_heuristic
[ 1, 48, 2, 70 ]
10
[ "70-48=22", "22/2=11", "11-1=10" ]
Current State: 10:[1, 48, 2, 70], Operations: [] Exploring Operation: 70-48=22, Resulting Numbers: [1, 2, 22] Generated Node #2: [1, 2, 22] from Operation: 70-48=22 Current State: 10:[1, 2, 22], Operations: ['70-48=22'] Exploring Operation: 22/2=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 22/2=11 Current State: 10:[1, 11], Operations: ['70-48=22', '22/2=11'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[1, 48, 2, 70], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [1, 48, 35] Generated Node #0,0: 10:[1, 48, 35] Operation: 70/2=35 Exploring Operation: 70-48=22, Resulting Numbers: [1, 2, 22] Generated Node #0,1: 10:[1, 2, 22] Operation: 70-48=22 Start Sub Search at level 1: Moving to Node #0,1 Current State: 10:[1, 2, 22], Operations: ['70-48=22'] Exploring Operation: 22/2=11, Resulting Numbers: [1, 11] Generated Node #0,1,0: 10:[1, 11] Operation: 22/2=11 Exploring Operation: 22-1=21, Resulting Numbers: [2, 21] Generated Node #0,1,1: 10:[2, 21] Operation: 22-1=21 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 10:[1, 11], Operations: ['70-48=22', '22/2=11'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[1, 48, 2, 70], Operations: [] Exploring Operation: 70-48=22, Resulting Numbers: [1, 2, 22] Generated Node #0,1: 10:[1, 2, 22] Operation: 70-48=22 Moving to Node #0,1 Current State: 10:[1, 2, 22], Operations: ['70-48=22'] Exploring Operation: 22/2=11, Resulting Numbers: [1, 11] Generated Node #0,1,0: 10:[1, 11] Operation: 22/2=11 Moving to Node #0,1,0 Current State: 10:[1, 11], Operations: ['70-48=22', '22/2=11'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 69, 94, 68, 94 ]
69
[ "94-94=0", "68*0=0", "69+0=69" ]
Current State: 69:[69, 94, 68, 94], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [69, 68, 0] Generated Node #2: [69, 68, 0] from Operation: 94-94=0 Current State: 69:[69, 68, 0], Operations: ['94-94=0'] Exploring Operation: 68*0=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 68*0=0 Current State: 69:[69, 0], Operations: ['94-94=0', '68*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[69, 94, 68, 94], Operations: [] Exploring Operation: 94-68=26, Resulting Numbers: [69, 94, 26] Generated Node #0,0: 69:[69, 94, 26] Operation: 94-68=26 Exploring Operation: 94-94=0, Resulting Numbers: [69, 68, 0] Generated Node #0,1: 69:[69, 68, 0] Operation: 94-94=0 Exploring Operation: 94/94=1, Resulting Numbers: [69, 68, 1] Generated Node #0,2: 69:[69, 68, 1] Operation: 94/94=1 Exploring Operation: 94-69=25, Resulting Numbers: [68, 94, 25] Generated Node #0,3: 69:[68, 94, 25] Operation: 94-69=25 Exploring Operation: 94-69=25, Resulting Numbers: [94, 68, 25] Generated Node #0,4: 69:[94, 68, 25] Operation: 94-69=25 Start Sub Search at level 1: Moving to Node #0,2 Current State: 69:[69, 68, 1], Operations: ['94/94=1'] Exploring Operation: 69/1=69, Resulting Numbers: [68, 69] Generated Node #0,2,0: 69:[68, 69] Operation: 69/1=69 Exploring Operation: 68+1=69, Resulting Numbers: [69, 69] Generated Node #0,2,1: 69:[69, 69] Operation: 68+1=69 Exploring Operation: 68*1=68, Resulting Numbers: [69, 68] Generated Node #0,2,2: 69:[69, 68] Operation: 68*1=68 Exploring Operation: 69*1=69, Resulting Numbers: [68, 69] Generated Node #0,2,3: 69:[68, 69] Operation: 69*1=69 Exploring Operation: 68/1=68, Resulting Numbers: [69, 68] Generated Node #0,2,4: 69:[69, 68] Operation: 68/1=68 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 69:[69, 69], Operations: ['94/94=1', '68+1=69'] Exploring Operation: 69/69=1, Resulting Numbers: [1] 1,69 unequal: No Solution Exploring Operation: 69*69=4761, Resulting Numbers: [4761] 4761,69 unequal: No Solution Exploring Operation: 69+69=138, Resulting Numbers: [138] 138,69 unequal: No Solution Exploring Operation: 69-69=0, Resulting Numbers: [0] 0,69 unequal: No Solution No 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: 69:[68, 69], Operations: ['94/94=1', '69/1=69'] Exploring Operation: 68*69=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Exploring Operation: 68+69=137, Resulting Numbers: [137] 137,69 unequal: No Solution Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution No 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: 69:[69, 68], Operations: ['94/94=1', '68*1=68'] Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution Exploring Operation: 69*68=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Exploring Operation: 69+68=137, Resulting Numbers: [137] 137,69 unequal: No Solution No 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: 69:[68, 69], Operations: ['94/94=1', '69*1=69'] Exploring Operation: 68+69=137, Resulting Numbers: [137] 137,69 unequal: No Solution Exploring Operation: 68*69=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution No 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: 69:[69, 68], Operations: ['94/94=1', '68/1=68'] Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution Exploring Operation: 69+68=137, Resulting Numbers: [137] 137,69 unequal: No Solution Exploring Operation: 69*68=4692, Resulting Numbers: [4692] 4692,69 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: 69:[69, 68, 0], Operations: ['94-94=0'] Exploring Operation: 68-0=68, Resulting Numbers: [69, 68] Generated Node #0,1,0: 69:[69, 68] Operation: 68-0=68 Exploring Operation: 69+0=69, Resulting Numbers: [68, 69] Generated Node #0,1,1: 69:[68, 69] Operation: 69+0=69 Exploring Operation: 68+0=68, Resulting Numbers: [69, 68] Generated Node #0,1,2: 69:[69, 68] Operation: 68+0=68 Exploring Operation: 68*0=0, Resulting Numbers: [69, 0] Generated Node #0,1,3: 69:[69, 0] Operation: 68*0=0 Exploring Operation: 69-0=69, Resulting Numbers: [68, 69] Generated Node #0,1,4: 69:[68, 69] Operation: 69-0=69 Moving to Node #0,1,0 Current State: 69:[69, 68], Operations: ['94-94=0', '68-0=68'] Exploring Operation: 69+68=137, Resulting Numbers: [137] 137,69 unequal: No Solution Exploring Operation: 69*68=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution Moving to Node #0,1,2 Current State: 69:[69, 68], Operations: ['94-94=0', '68+0=68'] Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution Exploring Operation: 69+68=137, Resulting Numbers: [137] 137,69 unequal: No Solution Exploring Operation: 69*68=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Moving to Node #0,1,1 Current State: 69:[68, 69], Operations: ['94-94=0', '69+0=69'] Exploring Operation: 68*69=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution Exploring Operation: 68+69=137, Resulting Numbers: [137] 137,69 unequal: No Solution Moving to Node #0,1,4 Current State: 69:[68, 69], Operations: ['94-94=0', '69-0=69'] Exploring Operation: 69-68=1, Resulting Numbers: [1] 1,69 unequal: No Solution Exploring Operation: 68*69=4692, Resulting Numbers: [4692] 4692,69 unequal: No Solution Exploring Operation: 68+69=137, Resulting Numbers: [137] 137,69 unequal: No Solution Moving to Node #0,1,3 Current State: 69:[69, 0], Operations: ['94-94=0', '68*0=0'] Exploring Operation: 69*0=0, Resulting Numbers: [0] 0,69 unequal: No Solution Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[69, 94, 68, 94], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [69, 68, 0] Generated Node #0,1: 69:[69, 68, 0] Operation: 94-94=0 Moving to Node #0,1 Current State: 69:[69, 68, 0], Operations: ['94-94=0'] Exploring Operation: 68*0=0, Resulting Numbers: [69, 0] Generated Node #0,1,3: 69:[69, 0] Operation: 68*0=0 Moving to Node #0,1,3 Current State: 69:[69, 0], Operations: ['94-94=0', '68*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Exit Sub Search at level 1
0.957465
hs_5
sum_heuristic
[ 6, 60, 64, 8 ]
10
[ "6+60=66", "64-8=56", "66-56=10" ]
Current State: 10:[6, 60, 64, 8], Operations: [] Exploring Operation: 6+60=66, Resulting Numbers: [64, 8, 66] Generated Node #2: [64, 8, 66] from Operation: 6+60=66 Current State: 10:[64, 8, 66], Operations: ['6+60=66'] Exploring Operation: 64-8=56, Resulting Numbers: [66, 56] Generated Node #3: [66, 56] from Operation: 64-8=56 Current State: 10:[66, 56], Operations: ['6+60=66', '64-8=56'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[6, 60, 64, 8], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [6, 8, 4] Generated Node #0,0: 10:[6, 8, 4] Operation: 64-60=4 Exploring Operation: 60-8=52, Resulting Numbers: [6, 64, 52] Generated Node #0,1: 10:[6, 64, 52] Operation: 60-8=52 Exploring Operation: 64-8=56, Resulting Numbers: [6, 60, 56] Generated Node #0,2: 10:[6, 60, 56] Operation: 64-8=56 Exploring Operation: 60/6=10, Resulting Numbers: [64, 8, 10] Generated Node #0,3: 10:[64, 8, 10] Operation: 60/6=10 Exploring Operation: 64/8=8, Resulting Numbers: [6, 60, 8] Generated Node #0,4: 10:[6, 60, 8] Operation: 64/8=8 Moving to Node #0,0 Current State: 10:[6, 8, 4], Operations: ['64-60=4'] Exploring Operation: 8-6=2, Resulting Numbers: [4, 2] Generated Node #0,0,0: 10:[4, 2] Operation: 8-6=2 Exploring Operation: 8-4=4, Resulting Numbers: [6, 4] Generated Node #0,0,1: 10:[6, 4] Operation: 8-4=4 Exploring Operation: 6+4=10, Resulting Numbers: [8, 10] Generated Node #0,0,2: 10:[8, 10] Operation: 6+4=10 Exploring Operation: 8/4=2, Resulting Numbers: [6, 2] Generated Node #0,0,3: 10:[6, 2] Operation: 8/4=2 Exploring Operation: 6-4=2, Resulting Numbers: [8, 2] Generated Node #0,0,4: 10:[8, 2] Operation: 6-4=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 10:[4, 2], Operations: ['64-60=4', '8-6=2'] Exploring Operation: 4+2=6, Resulting Numbers: [6] 6,10 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,10 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,10 unequal: No Solution Exploring Operation: 4*2=8, Resulting Numbers: [8] 8,10 unequal: No Solution No 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: 10:[6, 2], Operations: ['64-60=4', '8/4=2'] Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,10 unequal: No Solution Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,10 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,10 unequal: No Solution Exploring Operation: 6+2=8, Resulting Numbers: [8] 8,10 unequal: No Solution No 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: 10:[6, 4], Operations: ['64-60=4', '8-4=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[6, 60, 64, 8], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [6, 8, 4] Generated Node #0,0: 10:[6, 8, 4] Operation: 64-60=4 Moving to Node #0,0 Current State: 10:[6, 8, 4], Operations: ['64-60=4'] Exploring Operation: 8-4=4, Resulting Numbers: [6, 4] Generated Node #0,0,1: 10:[6, 4] Operation: 8-4=4 Moving to Node #0,0,1 Current State: 10:[6, 4], Operations: ['64-60=4', '8-4=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1
0.980035
hs_5
mult_heuristic
[ 29, 74, 7, 71 ]
33
[ "74-29=45", "7+71=78", "78-45=33" ]
Current State: 33:[29, 74, 7, 71], Operations: [] Exploring Operation: 74-29=45, Resulting Numbers: [7, 71, 45] Generated Node #2: [7, 71, 45] from Operation: 74-29=45 Current State: 33:[7, 71, 45], Operations: ['74-29=45'] Exploring Operation: 7+71=78, Resulting Numbers: [45, 78] Generated Node #3: [45, 78] from Operation: 7+71=78 Current State: 33:[45, 78], Operations: ['74-29=45', '7+71=78'] Exploring Operation: 78-45=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[29, 74, 7, 71], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [29, 7, 3] Generated Node #0,0: 33:[29, 7, 3] Operation: 74-71=3 Moving to Node #0,0 Current State: 33:[29, 7, 3], Operations: ['74-71=3'] Exploring Operation: 29+7=36, Resulting Numbers: [3, 36] Generated Node #0,0,0: 33:[3, 36] Operation: 29+7=36 Moving to Node #0,0,0 Current State: 33:[3, 36], Operations: ['74-71=3', '29+7=36'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[29, 74, 7, 71], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [29, 7, 3] Generated Node #0,0: 33:[29, 7, 3] Operation: 74-71=3 Moving to Node #0,0 Current State: 33:[29, 7, 3], Operations: ['74-71=3'] Exploring Operation: 29+7=36, Resulting Numbers: [3, 36] Generated Node #0,0,0: 33:[3, 36] Operation: 29+7=36 Moving to Node #0,0,0 Current State: 33:[3, 36], Operations: ['74-71=3', '29+7=36'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 2, 34, 33, 4 ]
43
[ "34+4=38", "2*38=76", "76-33=43" ]
Current State: 43:[2, 34, 33, 4], Operations: [] Exploring Operation: 34+4=38, Resulting Numbers: [2, 33, 38] Generated Node #2: [2, 33, 38] from Operation: 34+4=38 Current State: 43:[2, 33, 38], Operations: ['34+4=38'] Exploring Operation: 2*38=76, Resulting Numbers: [33, 76] Generated Node #3: [33, 76] from Operation: 2*38=76 Current State: 43:[33, 76], Operations: ['34+4=38', '2*38=76'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[2, 34, 33, 4], Operations: [] Exploring Operation: 2*4=8, Resulting Numbers: [34, 33, 8] Generated Node #0,0: 43:[34, 33, 8] Operation: 2*4=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 43:[34, 33, 8], Operations: ['2*4=8'] Exploring Operation: 34+8=42, Resulting Numbers: [33, 42] Generated Node #0,0,0: 43:[33, 42] Operation: 34+8=42 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 43:[33, 42], Operations: ['2*4=8', '34+8=42'] Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,43 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
[ 85, 35, 81, 55 ]
80
[ "85-81=4", "55-35=20", "4*20=80" ]
Current State: 80:[85, 35, 81, 55], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [35, 55, 4] Generated Node #2: [35, 55, 4] from Operation: 85-81=4 Current State: 80:[35, 55, 4], Operations: ['85-81=4'] Exploring Operation: 55-35=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 55-35=20 Current State: 80:[4, 20], Operations: ['85-81=4', '55-35=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[85, 35, 81, 55], Operations: [] Exploring Operation: 35+55=90, Resulting Numbers: [85, 81, 90] Generated Node #0,0: 80:[85, 81, 90] Operation: 35+55=90 Exploring Operation: 85-55=30, Resulting Numbers: [35, 81, 30] Generated Node #0,1: 80:[35, 81, 30] Operation: 85-55=30 Exploring Operation: 55-35=20, Resulting Numbers: [85, 81, 20] Generated Node #0,2: 80:[85, 81, 20] Operation: 55-35=20 Exploring Operation: 81-55=26, Resulting Numbers: [85, 35, 26] Generated Node #0,3: 80:[85, 35, 26] Operation: 81-55=26 Exploring Operation: 85-81=4, Resulting Numbers: [35, 55, 4] Generated Node #0,4: 80:[35, 55, 4] Operation: 85-81=4 Moving to Node #0,2 Current State: 80:[85, 81, 20], Operations: ['55-35=20'] Exploring Operation: 85-20=65, Resulting Numbers: [81, 65] Generated Node #0,2,0: 80:[81, 65] Operation: 85-20=65 Exploring Operation: 85-81=4, Resulting Numbers: [20, 4] Generated Node #0,2,1: 80:[20, 4] Operation: 85-81=4 Exploring Operation: 81-20=61, Resulting Numbers: [85, 61] Generated Node #0,2,2: 80:[85, 61] Operation: 81-20=61 Exploring Operation: 81+20=101, Resulting Numbers: [85, 101] Generated Node #0,2,3: 80:[85, 101] Operation: 81+20=101 Exploring Operation: 85+20=105, Resulting Numbers: [81, 105] Generated Node #0,2,4: 80:[81, 105] Operation: 85+20=105 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 80:[20, 4], Operations: ['55-35=20', '85-81=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[85, 35, 81, 55], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [85, 81, 20] Generated Node #0,2: 80:[85, 81, 20] Operation: 55-35=20 Moving to Node #0,2 Current State: 80:[85, 81, 20], Operations: ['55-35=20'] Exploring Operation: 85-81=4, Resulting Numbers: [20, 4] Generated Node #0,2,1: 80:[20, 4] Operation: 85-81=4 Moving to Node #0,2,1 Current State: 80:[20, 4], Operations: ['55-35=20', '85-81=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 77, 78, 89, 6 ]
84
[ "78-77=1", "89-6=83", "1+83=84" ]
Current State: 84:[77, 78, 89, 6], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [89, 6, 1] Generated Node #2: [89, 6, 1] from Operation: 78-77=1 Current State: 84:[89, 6, 1], Operations: ['78-77=1'] Exploring Operation: 89-6=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 89-6=83 Current State: 84:[1, 83], Operations: ['78-77=1', '89-6=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[77, 78, 89, 6], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [89, 6, 1] Generated Node #0,0: 84:[89, 6, 1] Operation: 78-77=1 Exploring Operation: 77+6=83, Resulting Numbers: [78, 89, 83] Generated Node #0,1: 84:[78, 89, 83] Operation: 77+6=83 Exploring Operation: 89-78=11, Resulting Numbers: [77, 6, 11] Generated Node #0,2: 84:[77, 6, 11] Operation: 89-78=11 Exploring Operation: 89-77=12, Resulting Numbers: [78, 6, 12] Generated Node #0,3: 84:[78, 6, 12] Operation: 89-77=12 Moving to Node #0,0 Current State: 84:[89, 6, 1], Operations: ['78-77=1'] Exploring Operation: 89/1=89, Resulting Numbers: [6, 89] Generated Node #0,0,0: 84:[6, 89] Operation: 89/1=89 Exploring Operation: 89*1=89, Resulting Numbers: [6, 89] Generated Node #0,0,1: 84:[6, 89] Operation: 89*1=89 Exploring Operation: 89-6=83, Resulting Numbers: [1, 83] Generated Node #0,0,2: 84:[1, 83] Operation: 89-6=83 Exploring Operation: 89-1=88, Resulting Numbers: [6, 88] Generated Node #0,0,3: 84:[6, 88] Operation: 89-1=88 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 84:[1, 83], Operations: ['78-77=1', '89-6=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[77, 78, 89, 6], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [89, 6, 1] Generated Node #0,0: 84:[89, 6, 1] Operation: 78-77=1 Moving to Node #0,0 Current State: 84:[89, 6, 1], Operations: ['78-77=1'] Exploring Operation: 89-6=83, Resulting Numbers: [1, 83] Generated Node #0,0,2: 84:[1, 83] Operation: 89-6=83 Moving to Node #0,0,2 Current State: 84:[1, 83], Operations: ['78-77=1', '89-6=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 26, 21, 60, 41 ]
14
[ "26-21=5", "60-41=19", "19-5=14" ]
Current State: 14:[26, 21, 60, 41], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [60, 41, 5] Generated Node #2: [60, 41, 5] from Operation: 26-21=5 Current State: 14:[60, 41, 5], Operations: ['26-21=5'] Exploring Operation: 60-41=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 60-41=19 Current State: 14:[5, 19], Operations: ['26-21=5', '60-41=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[26, 21, 60, 41], Operations: [] Exploring Operation: 60-26=34, Resulting Numbers: [21, 41, 34] Generated Node #0,0: 14:[21, 41, 34] Operation: 60-26=34 Exploring Operation: 41-26=15, Resulting Numbers: [21, 60, 15] Generated Node #0,1: 14:[21, 60, 15] Operation: 41-26=15 Exploring Operation: 41-21=20, Resulting Numbers: [26, 60, 20] Generated Node #0,2: 14:[26, 60, 20] Operation: 41-21=20 Exploring Operation: 60-41=19, Resulting Numbers: [26, 21, 19] Generated Node #0,3: 14:[26, 21, 19] Operation: 60-41=19 Exploring Operation: 60-21=39, Resulting Numbers: [26, 41, 39] Generated Node #0,4: 14:[26, 41, 39] Operation: 60-21=39 Start Sub Search at level 1: Moving to Node #0,3 Current State: 14:[26, 21, 19], Operations: ['60-41=19'] Exploring Operation: 26+19=45, Resulting Numbers: [21, 45] Generated Node #0,3,0: 14:[21, 45] Operation: 26+19=45 Exploring Operation: 26-21=5, Resulting Numbers: [19, 5] Generated Node #0,3,1: 14:[19, 5] Operation: 26-21=5 Exploring Operation: 21-19=2, Resulting Numbers: [26, 2] Generated Node #0,3,2: 14:[26, 2] Operation: 21-19=2 Exploring Operation: 26-19=7, Resulting Numbers: [21, 7] Generated Node #0,3,3: 14:[21, 7] Operation: 26-19=7 Exploring Operation: 26+21=47, Resulting Numbers: [19, 47] Generated Node #0,3,4: 14:[19, 47] Operation: 26+21=47 Moving to Node #0,3,1 Current State: 14:[19, 5], Operations: ['60-41=19', '26-21=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,14 unequal: No Solution Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[26, 21, 60, 41], Operations: [] Exploring Operation: 60-41=19, Resulting Numbers: [26, 21, 19] Generated Node #0,3: 14:[26, 21, 19] Operation: 60-41=19 Moving to Node #0,3 Current State: 14:[26, 21, 19], Operations: ['60-41=19'] Exploring Operation: 26-21=5, Resulting Numbers: [19, 5] Generated Node #0,3,1: 14:[19, 5] Operation: 26-21=5 Moving to Node #0,3,1 Current State: 14:[19, 5], Operations: ['60-41=19', '26-21=5'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 45, 52, 90, 20 ]
62
[ "90/45=2", "20/2=10", "52+10=62" ]
Current State: 62:[45, 52, 90, 20], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [52, 20, 2] Generated Node #2: [52, 20, 2] from Operation: 90/45=2 Current State: 62:[52, 20, 2], Operations: ['90/45=2'] Exploring Operation: 20/2=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Operation: 20/2=10 Current State: 62:[52, 10], Operations: ['90/45=2', '20/2=10'] Exploring Operation: 52+10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[45, 52, 90, 20], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [52, 20, 2] Generated Node #0,0: 62:[52, 20, 2] Operation: 90/45=2 Exploring Operation: 90-20=70, Resulting Numbers: [45, 52, 70] Generated Node #0,1: 62:[45, 52, 70] Operation: 90-20=70 Exploring Operation: 90-52=38, Resulting Numbers: [45, 20, 38] Generated Node #0,2: 62:[45, 20, 38] Operation: 90-52=38 Start Sub Search at level 1: Moving to Node #0,0 Current State: 62:[52, 20, 2], Operations: ['90/45=2'] Exploring Operation: 52+20=72, Resulting Numbers: [2, 72] Generated Node #0,0,0: 62:[2, 72] Operation: 52+20=72 Exploring Operation: 52/2=26, Resulting Numbers: [20, 26] Generated Node #0,0,1: 62:[20, 26] Operation: 52/2=26 Exploring Operation: 52-20=32, Resulting Numbers: [2, 32] Generated Node #0,0,2: 62:[2, 32] Operation: 52-20=32 Moving to Node #0,0,2 Current State: 62:[2, 32], Operations: ['90/45=2', '52-20=32'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,62 unequal: No Solution Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,62 unequal: No Solution Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,62 unequal: No Solution Moving to Node #0,0,0 Current State: 62:[2, 72], Operations: ['90/45=2', '52+20=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,62 unequal: No Solution Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,62 unequal: No Solution Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,62 unequal: No Solution Moving to Node #0,0,1 Current State: 62:[20, 26], Operations: ['90/45=2', '52/2=26'] Exploring Operation: 20*26=520, Resulting Numbers: [520] 520,62 unequal: No Solution Exploring Operation: 26-20=6, Resulting Numbers: [6] 6,62 unequal: No Solution Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,62 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 62:[45, 52, 70], Operations: ['90-20=70'] Exploring Operation: 70-52=18, Resulting Numbers: [45, 18] Generated Node #0,1,0: 62:[45, 18] Operation: 70-52=18 Exploring Operation: 52-45=7, Resulting Numbers: [70, 7] Generated Node #0,1,1: 62:[70, 7] Operation: 52-45=7 Exploring Operation: 70-45=25, Resulting Numbers: [52, 25] Generated Node #0,1,2: 62:[52, 25] Operation: 70-45=25 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 62:[70, 7], Operations: ['90-20=70', '52-45=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,62 unequal: No Solution Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,62 unequal: No Solution Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,62 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 #0,1,2 Current State: 62:[52, 25], Operations: ['90-20=70', '70-45=25'] Exploring Operation: 52*25=1300, Resulting Numbers: [1300] 1300,62 unequal: No Solution Exploring Operation: 52+25=77, Resulting Numbers: [77] 77,62 unequal: No Solution Exploring Operation: 52-25=27, Resulting Numbers: [27] 27,62 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 #0,1,0 Current State: 62:[45, 18], Operations: ['90-20=70', '70-52=18'] Exploring Operation: 45*18=810, Resulting Numbers: [810] 810,62 unequal: No Solution Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,62 unequal: No Solution Exploring Operation: 45+18=63, Resulting Numbers: [63] 63,62 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 #0,2 Current State: 62:[45, 20, 38], Operations: ['90-52=38'] Exploring Operation: 45-38=7, Resulting Numbers: [20, 7] Generated Node #0,2,0: 62:[20, 7] Operation: 45-38=7 Exploring Operation: 45+20=65, Resulting Numbers: [38, 65] Generated Node #0,2,1: 62:[38, 65] Operation: 45+20=65 Exploring Operation: 45-20=25, Resulting Numbers: [38, 25] Generated Node #0,2,2: 62:[38, 25] Operation: 45-20=25 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 62:[38, 65], Operations: ['90-52=38', '45+20=65'] Exploring Operation: 38+65=103, Resulting Numbers: [103] 103,62 unequal: No Solution Exploring Operation: 65-38=27, Resulting Numbers: [27] 27,62 unequal: No Solution Exploring Operation: 38*65=2470, Resulting Numbers: [2470] 2470,62 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 #0,2,2 Current State: 62:[38, 25], Operations: ['90-52=38', '45-20=25'] Exploring Operation: 38+25=63, Resulting Numbers: [63] 63,62 unequal: No Solution Exploring Operation: 38*25=950, Resulting Numbers: [950] 950,62 unequal: No Solution Exploring Operation: 38-25=13, Resulting Numbers: [13] 13,62 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 #0,2,0 Current State: 62:[20, 7], Operations: ['90-52=38', '45-38=7'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,62 unequal: No Solution Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,62 unequal: No Solution Exploring Operation: 20*7=140, Resulting Numbers: [140] 140,62 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 No solution found.
0
hs_3
sum_heuristic
[ 48, 37, 26, 2 ]
74
[ "48*37=1776", "26-2=24", "1776/24=74" ]
Current State: 74:[48, 37, 26, 2], Operations: [] Exploring Operation: 48*37=1776, Resulting Numbers: [26, 2, 1776] Generated Node #2: [26, 2, 1776] from Operation: 48*37=1776 Current State: 74:[26, 2, 1776], Operations: ['48*37=1776'] Exploring Operation: 26-2=24, Resulting Numbers: [1776, 24] Generated Node #3: [1776, 24] from Operation: 26-2=24 Current State: 74:[1776, 24], Operations: ['48*37=1776', '26-2=24'] Exploring Operation: 1776/24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[48, 37, 26, 2], Operations: [] Exploring Operation: 48+26=74, Resulting Numbers: [37, 2, 74] Generated Node #0,0: 74:[37, 2, 74] Operation: 48+26=74 Exploring Operation: 48-26=22, Resulting Numbers: [37, 2, 22] Generated Node #0,1: 74:[37, 2, 22] Operation: 48-26=22 Moving to Node #0,0 Current State: 74:[37, 2, 74], Operations: ['48+26=74'] Exploring Operation: 74-37=37, Resulting Numbers: [2, 37] Generated Node #0,0,0: 74:[2, 37] Operation: 74-37=37 Exploring Operation: 37*2=74, Resulting Numbers: [74, 74] Generated Node #0,0,1: 74:[74, 74] Operation: 37*2=74 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 74:[2, 37], Operations: ['48+26=74', '74-37=37'] Exploring Operation: 2+37=39, Resulting Numbers: [39] 39,74 unequal: No Solution Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[48, 37, 26, 2], Operations: [] Exploring Operation: 48+26=74, Resulting Numbers: [37, 2, 74] Generated Node #0,0: 74:[37, 2, 74] Operation: 48+26=74 Moving to Node #0,0 Current State: 74:[37, 2, 74], Operations: ['48+26=74'] Exploring Operation: 74-37=37, Resulting Numbers: [2, 37] Generated Node #0,0,0: 74:[2, 37] Operation: 74-37=37 Moving to Node #0,0,0 Current State: 74:[2, 37], Operations: ['48+26=74', '74-37=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 11, 31, 51, 29 ]
20
[ "11+31=42", "51-29=22", "42-22=20" ]
Current State: 20:[11, 31, 51, 29], Operations: [] Exploring Operation: 11+31=42, Resulting Numbers: [51, 29, 42] Generated Node #2: [51, 29, 42] from Operation: 11+31=42 Current State: 20:[51, 29, 42], Operations: ['11+31=42'] Exploring Operation: 51-29=22, Resulting Numbers: [42, 22] Generated Node #3: [42, 22] from Operation: 51-29=22 Current State: 20:[42, 22], Operations: ['11+31=42', '51-29=22'] Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
Current State: 20:[11, 31, 51, 29], Operations: [] Exploring Operation: 51-29=22, Resulting Numbers: [11, 31, 22] Generated Node #0,0: 20:[11, 31, 22] Operation: 51-29=22 Exploring Operation: 51-31=20, Resulting Numbers: [11, 29, 20] Generated Node #0,1: 20:[11, 29, 20] Operation: 51-31=20 Start Sub Search at level 1: Moving to Node #0,1 Current State: 20:[11, 29, 20], Operations: ['51-31=20'] Exploring Operation: 29-20=9, Resulting Numbers: [11, 9] Generated Node #0,1,0: 20:[11, 9] Operation: 29-20=9 Exploring Operation: 29-11=18, Resulting Numbers: [20, 18] Generated Node #0,1,1: 20:[20, 18] Operation: 29-11=18 Moving to Node #0,1,0 Current State: 20:[11, 9], Operations: ['51-31=20', '29-20=9'] Exploring Operation: 11+9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Moving to Node #0 Current State: 20:[11, 31, 51, 29], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [11, 29, 20] Generated Node #0,1: 20:[11, 29, 20] Operation: 51-31=20 Moving to Node #0,1 Current State: 20:[11, 29, 20], Operations: ['51-31=20'] Exploring Operation: 29-20=9, Resulting Numbers: [11, 9] Generated Node #0,1,0: 20:[11, 9] Operation: 29-20=9 Moving to Node #0,1,0 Current State: 20:[11, 9], Operations: ['51-31=20', '29-20=9'] Exploring Operation: 11+9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 36, 75, 25, 6 ]
39
[ "36+75=111", "25*6=150", "150-111=39" ]
Current State: 39:[36, 75, 25, 6], Operations: [] Exploring Operation: 36+75=111, Resulting Numbers: [25, 6, 111] Generated Node #2: [25, 6, 111] from Operation: 36+75=111 Current State: 39:[25, 6, 111], Operations: ['36+75=111'] Exploring Operation: 25*6=150, Resulting Numbers: [111, 150] Generated Node #3: [111, 150] from Operation: 25*6=150 Current State: 39:[111, 150], Operations: ['36+75=111', '25*6=150'] Exploring Operation: 150-111=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[36, 75, 25, 6], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [36, 6, 3] Generated Node #0,0: 39:[36, 6, 3] Operation: 75/25=3 Exploring Operation: 75-25=50, Resulting Numbers: [36, 6, 50] Generated Node #0,1: 39:[36, 6, 50] Operation: 75-25=50 Exploring Operation: 75-6=69, Resulting Numbers: [36, 25, 69] Generated Node #0,2: 39:[36, 25, 69] Operation: 75-6=69 Exploring Operation: 75-36=39, Resulting Numbers: [25, 6, 39] Generated Node #0,3: 39:[25, 6, 39] Operation: 75-36=39 Exploring Operation: 36-25=11, Resulting Numbers: [75, 6, 11] Generated Node #0,4: 39:[75, 6, 11] Operation: 36-25=11 Moving to Node #0,0 Current State: 39:[36, 6, 3], Operations: ['75/25=3'] Exploring Operation: 36/6=6, Resulting Numbers: [3, 6] Generated Node #0,0,0: 39:[3, 6] Operation: 36/6=6 Exploring Operation: 36+3=39, Resulting Numbers: [6, 39] Generated Node #0,0,1: 39:[6, 39] Operation: 36+3=39 Exploring Operation: 6-3=3, Resulting Numbers: [36, 3] Generated Node #0,0,2: 39:[36, 3] Operation: 6-3=3 Exploring Operation: 36+6=42, Resulting Numbers: [3, 42] Generated Node #0,0,3: 39:[3, 42] Operation: 36+6=42 Exploring Operation: 36/3=12, Resulting Numbers: [6, 12] Generated Node #0,0,4: 39:[6, 12] Operation: 36/3=12 Moving to Node #0,3 Current State: 39:[25, 6, 39], Operations: ['75-36=39'] Exploring Operation: 25-6=19, Resulting Numbers: [39, 19] Generated Node #0,3,0: 39:[39, 19] Operation: 25-6=19 Exploring Operation: 39-6=33, Resulting Numbers: [25, 33] Generated Node #0,3,1: 39:[25, 33] Operation: 39-6=33 Exploring Operation: 39-25=14, Resulting Numbers: [6, 14] Generated Node #0,3,2: 39:[6, 14] Operation: 39-25=14 Exploring Operation: 6+39=45, Resulting Numbers: [25, 45] Generated Node #0,3,3: 39:[25, 45] Operation: 6+39=45 Exploring Operation: 25+6=31, Resulting Numbers: [39, 31] Generated Node #0,3,4: 39:[39, 31] Operation: 25+6=31 Moving to Node #0,1 Current State: 39:[36, 6, 50], Operations: ['75-25=50'] Exploring Operation: 36+6=42, Resulting Numbers: [50, 42] Generated Node #0,1,0: 39:[50, 42] Operation: 36+6=42 Exploring Operation: 36-6=30, Resulting Numbers: [50, 30] Generated Node #0,1,1: 39:[50, 30] Operation: 36-6=30 Exploring Operation: 50-6=44, Resulting Numbers: [36, 44] Generated Node #0,1,2: 39:[36, 44] Operation: 50-6=44 Exploring Operation: 50-36=14, Resulting Numbers: [6, 14] Generated Node #0,1,3: 39:[6, 14] Operation: 50-36=14 Exploring Operation: 36/6=6, Resulting Numbers: [50, 6] Generated Node #0,1,4: 39:[50, 6] Operation: 36/6=6 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 39:[6, 14], Operations: ['75-25=50', '50-36=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,39 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 39:[36, 44], Operations: ['75-25=50', '50-6=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,39 unequal: No Solution Exploring Operation: 44-36=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 36*44=1584, Resulting Numbers: [1584] 1584,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[50, 42], Operations: ['75-25=50', '36+6=42'] Exploring Operation: 50-42=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 50+42=92, Resulting Numbers: [92] 92,39 unequal: No Solution Exploring Operation: 50*42=2100, Resulting Numbers: [2100] 2100,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 39:[50, 6], Operations: ['75-25=50', '36/6=6'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,39 unequal: No Solution Exploring Operation: 50+6=56, Resulting Numbers: [56] 56,39 unequal: No Solution Exploring Operation: 50*6=300, Resulting Numbers: [300] 300,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 39:[50, 30], Operations: ['75-25=50', '36-6=30'] Exploring Operation: 50-30=20, Resulting Numbers: [20] 20,39 unequal: No Solution Exploring Operation: 50*30=1500, Resulting Numbers: [1500] 1500,39 unequal: No Solution Exploring Operation: 50+30=80, Resulting Numbers: [80] 80,39 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: 39:[75, 6, 11], Operations: ['36-25=11'] Exploring Operation: 75+6=81, Resulting Numbers: [11, 81] Generated Node #0,4,0: 39:[11, 81] Operation: 75+6=81 Exploring Operation: 6+11=17, Resulting Numbers: [75, 17] Generated Node #0,4,1: 39:[75, 17] Operation: 6+11=17 Exploring Operation: 11-6=5, Resulting Numbers: [75, 5] Generated Node #0,4,2: 39:[75, 5] Operation: 11-6=5 Exploring Operation: 75-11=64, Resulting Numbers: [6, 64] Generated Node #0,4,3: 39:[6, 64] Operation: 75-11=64 Exploring Operation: 75-6=69, Resulting Numbers: [11, 69] Generated Node #0,4,4: 39:[11, 69] Operation: 75-6=69 Moving to Node #0,2 Current State: 39:[36, 25, 69], Operations: ['75-6=69'] Exploring Operation: 25+69=94, Resulting Numbers: [36, 94] Generated Node #0,2,0: 39:[36, 94] Operation: 25+69=94 Exploring Operation: 69-25=44, Resulting Numbers: [36, 44] Generated Node #0,2,1: 39:[36, 44] Operation: 69-25=44 Exploring Operation: 36+25=61, Resulting Numbers: [69, 61] Generated Node #0,2,2: 39:[69, 61] Operation: 36+25=61 Exploring Operation: 69-36=33, Resulting Numbers: [25, 33] Generated Node #0,2,3: 39:[25, 33] Operation: 69-36=33 Exploring Operation: 36-25=11, Resulting Numbers: [69, 11] Generated Node #0,2,4: 39:[69, 11] Operation: 36-25=11 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 39:[36, 44], Operations: ['75-6=69', '69-25=44'] Exploring Operation: 44-36=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,39 unequal: No Solution Exploring Operation: 36*44=1584, Resulting Numbers: [1584] 1584,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 39:[25, 33], Operations: ['75-6=69', '69-36=33'] Exploring Operation: 33-25=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 25*33=825, Resulting Numbers: [825] 825,39 unequal: No Solution Exploring Operation: 25+33=58, Resulting Numbers: [58] 58,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 39:[69, 11], Operations: ['75-6=69', '36-25=11'] Exploring Operation: 69-11=58, Resulting Numbers: [58] 58,39 unequal: No Solution Exploring Operation: 69*11=759, Resulting Numbers: [759] 759,39 unequal: No Solution Exploring Operation: 69+11=80, Resulting Numbers: [80] 80,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 39:[69, 61], Operations: ['75-6=69', '36+25=61'] Exploring Operation: 69*61=4209, Resulting Numbers: [4209] 4209,39 unequal: No Solution Exploring Operation: 69-61=8, Resulting Numbers: [8] 8,39 unequal: No Solution Exploring Operation: 69+61=130, Resulting Numbers: [130] 130,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 39:[36, 94], Operations: ['75-6=69', '25+69=94'] Exploring Operation: 94-36=58, Resulting Numbers: [58] 58,39 unequal: No Solution Exploring Operation: 36*94=3384, Resulting Numbers: [3384] 3384,39 unequal: No Solution Exploring Operation: 36+94=130, Resulting Numbers: [130] 130,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 39:[3, 6], Operations: ['75/25=3', '36/6=6'] Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,39 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,39 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,39 unequal: No Solution Moving to Node #0,0,2 Current State: 39:[36, 3], Operations: ['75/25=3', '6-3=3'] Exploring Operation: 36+3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[36, 75, 25, 6], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [36, 6, 3] Generated Node #0,0: 39:[36, 6, 3] Operation: 75/25=3 Moving to Node #0,0 Current State: 39:[36, 6, 3], Operations: ['75/25=3'] Exploring Operation: 6-3=3, Resulting Numbers: [36, 3] Generated Node #0,0,2: 39:[36, 3] Operation: 6-3=3 Moving to Node #0,0,2 Current State: 39:[36, 3], Operations: ['75/25=3', '6-3=3'] Exploring Operation: 36+3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
0.940104
hs_5
mult_heuristic
[ 10, 17, 36, 63 ]
18
[ "10*63=630", "17*36=612", "630-612=18" ]
Current State: 18:[10, 17, 36, 63], Operations: [] Exploring Operation: 10*63=630, Resulting Numbers: [17, 36, 630] Generated Node #2: [17, 36, 630] from Operation: 10*63=630 Current State: 18:[17, 36, 630], Operations: ['10*63=630'] Exploring Operation: 17*36=612, Resulting Numbers: [630, 612] Generated Node #3: [630, 612] from Operation: 17*36=612 Current State: 18:[630, 612], Operations: ['10*63=630', '17*36=612'] Exploring Operation: 630-612=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[10, 17, 36, 63], Operations: [] Exploring Operation: 36-10=26, Resulting Numbers: [17, 63, 26] Generated Node #0,0: 18:[17, 63, 26] Operation: 36-10=26 Exploring Operation: 36-17=19, Resulting Numbers: [10, 63, 19] Generated Node #0,1: 18:[10, 63, 19] Operation: 36-17=19 Exploring Operation: 63-17=46, Resulting Numbers: [10, 36, 46] Generated Node #0,2: 18:[10, 36, 46] Operation: 63-17=46 Exploring Operation: 63-36=27, Resulting Numbers: [10, 17, 27] Generated Node #0,3: 18:[10, 17, 27] Operation: 63-36=27 Start Sub Search at level 1: Moving to Node #0,3 Current State: 18:[10, 17, 27], Operations: ['63-36=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17, 17] Generated Node #0,3,0: 18:[17, 17] Operation: 27-10=17 Exploring Operation: 27-17=10, Resulting Numbers: [10, 10] Generated Node #0,3,1: 18:[10, 10] Operation: 27-17=10 Exploring Operation: 10+17=27, Resulting Numbers: [27, 27] Generated Node #0,3,2: 18:[27, 27] Operation: 10+17=27 Exploring Operation: 17-10=7, Resulting Numbers: [27, 7] Generated Node #0,3,3: 18:[27, 7] Operation: 17-10=7 Moving to Node #0,3,0 Current State: 18:[17, 17], Operations: ['63-36=27', '27-10=17'] Exploring Operation: 17/17=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 17+17=34, Resulting Numbers: [34] 34,18 unequal: No Solution Exploring Operation: 17*17=289, Resulting Numbers: [289] 289,18 unequal: No Solution Exploring Operation: 17-17=0, Resulting Numbers: [0] 0,18 unequal: No Solution Moving to Node #0,3,1 Current State: 18:[10, 10], Operations: ['63-36=27', '27-17=10'] Exploring Operation: 10+10=20, Resulting Numbers: [20] 20,18 unequal: No Solution Exploring Operation: 10-10=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 10/10=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,18 unequal: No Solution Moving to Node #0,3,3 Current State: 18:[27, 7], Operations: ['63-36=27', '17-10=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,18 unequal: No Solution Exploring Operation: 27*7=189, Resulting Numbers: [189] 189,18 unequal: No Solution Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,18 unequal: No Solution Moving to Node #0,3,2 Current State: 18:[27, 27], Operations: ['63-36=27', '10+17=27'] Exploring Operation: 27+27=54, Resulting Numbers: [54] 54,18 unequal: No Solution Exploring Operation: 27*27=729, Resulting Numbers: [729] 729,18 unequal: No Solution Exploring Operation: 27-27=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 27/27=1, Resulting Numbers: [1] 1,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 18:[10, 63, 19], Operations: ['36-17=19'] Exploring Operation: 10+63=73, Resulting Numbers: [19, 73] Generated Node #0,1,0: 18:[19, 73] Operation: 10+63=73 Exploring Operation: 19-10=9, Resulting Numbers: [63, 9] Generated Node #0,1,1: 18:[63, 9] Operation: 19-10=9 Exploring Operation: 63-10=53, Resulting Numbers: [19, 53] Generated Node #0,1,2: 18:[19, 53] Operation: 63-10=53 Exploring Operation: 63-19=44, Resulting Numbers: [10, 44] Generated Node #0,1,3: 18:[10, 44] Operation: 63-19=44 Moving to Node #0,1,3 Current State: 18:[10, 44], Operations: ['36-17=19', '63-19=44'] Exploring Operation: 10+44=54, Resulting Numbers: [54] 54,18 unequal: No Solution Exploring Operation: 10*44=440, Resulting Numbers: [440] 440,18 unequal: No Solution Exploring Operation: 44-10=34, Resulting Numbers: [34] 34,18 unequal: No Solution Moving to Node #0,1,2 Current State: 18:[19, 53], Operations: ['36-17=19', '63-10=53'] Exploring Operation: 19*53=1007, Resulting Numbers: [1007] 1007,18 unequal: No Solution Exploring Operation: 53-19=34, Resulting Numbers: [34] 34,18 unequal: No Solution Exploring Operation: 19+53=72, Resulting Numbers: [72] 72,18 unequal: No Solution Moving to Node #0,1,1 Current State: 18:[63, 9], Operations: ['36-17=19', '19-10=9'] Exploring Operation: 63+9=72, Resulting Numbers: [72] 72,18 unequal: No Solution Exploring Operation: 63/9=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 63*9=567, Resulting Numbers: [567] 567,18 unequal: No Solution Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,18 unequal: No Solution Moving to Node #0,1,0 Current State: 18:[19, 73], Operations: ['36-17=19', '10+63=73'] Exploring Operation: 19+73=92, Resulting Numbers: [92] 92,18 unequal: No Solution Exploring Operation: 19*73=1387, Resulting Numbers: [1387] 1387,18 unequal: No Solution Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 18:[10, 36, 46], Operations: ['63-17=46'] Exploring Operation: 46-10=36, Resulting Numbers: [36, 36] Generated Node #0,2,0: 18:[36, 36] Operation: 46-10=36 Exploring Operation: 10+36=46, Resulting Numbers: [46, 46] Generated Node #0,2,1: 18:[46, 46] Operation: 10+36=46 Exploring Operation: 46-36=10, Resulting Numbers: [10, 10] Generated Node #0,2,2: 18:[10, 10] Operation: 46-36=10 Exploring Operation: 36-10=26, Resulting Numbers: [46, 26] Generated Node #0,2,3: 18:[46, 26] Operation: 36-10=26 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 18:[10, 10], Operations: ['63-17=46', '46-36=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,18 unequal: No Solution Exploring Operation: 10+10=20, Resulting Numbers: [20] 20,18 unequal: No Solution Exploring Operation: 10/10=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 10-10=0, Resulting Numbers: [0] 0,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 18:[36, 36], Operations: ['63-17=46', '46-10=36'] Exploring Operation: 36/36=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 36-36=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 36+36=72, Resulting Numbers: [72] 72,18 unequal: No Solution Exploring Operation: 36*36=1296, Resulting Numbers: [1296] 1296,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 18:[46, 26], Operations: ['63-17=46', '36-10=26'] Exploring Operation: 46*26=1196, Resulting Numbers: [1196] 1196,18 unequal: No Solution Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,18 unequal: No Solution Exploring Operation: 46+26=72, Resulting Numbers: [72] 72,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 18:[46, 46], Operations: ['63-17=46', '10+36=46'] Exploring Operation: 46/46=1, Resulting Numbers: [1] 1,18 unequal: No Solution Exploring Operation: 46-46=0, Resulting Numbers: [0] 0,18 unequal: No Solution Exploring Operation: 46*46=2116, Resulting Numbers: [2116] 2116,18 unequal: No Solution Exploring Operation: 46+46=92, Resulting Numbers: [92] 92,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[17, 63, 26], Operations: ['36-10=26'] Exploring Operation: 26-17=9, Resulting Numbers: [63, 9] Generated Node #0,0,0: 18:[63, 9] Operation: 26-17=9 Exploring Operation: 17+63=80, Resulting Numbers: [26, 80] Generated Node #0,0,1: 18:[26, 80] Operation: 17+63=80 Exploring Operation: 63-26=37, Resulting Numbers: [17, 37] Generated Node #0,0,2: 18:[17, 37] Operation: 63-26=37 Exploring Operation: 63-17=46, Resulting Numbers: [26, 46] Generated Node #0,0,3: 18:[26, 46] Operation: 63-17=46 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 18:[17, 37], Operations: ['36-10=26', '63-26=37'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,18 unequal: No Solution Exploring Operation: 17*37=629, Resulting Numbers: [629] 629,18 unequal: No Solution Exploring Operation: 17+37=54, Resulting Numbers: [54] 54,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 18:[26, 46], Operations: ['36-10=26', '63-17=46'] Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,18 unequal: No Solution Exploring Operation: 26*46=1196, Resulting Numbers: [1196] 1196,18 unequal: No Solution Exploring Operation: 26+46=72, Resulting Numbers: [72] 72,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 18:[63, 9], Operations: ['36-10=26', '26-17=9'] Exploring Operation: 63*9=567, Resulting Numbers: [567] 567,18 unequal: No Solution Exploring Operation: 63/9=7, Resulting Numbers: [7] 7,18 unequal: No Solution Exploring Operation: 63+9=72, Resulting Numbers: [72] 72,18 unequal: No Solution Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 18:[26, 80], Operations: ['36-10=26', '17+63=80'] Exploring Operation: 26*80=2080, Resulting Numbers: [2080] 2080,18 unequal: No Solution Exploring Operation: 80-26=54, Resulting Numbers: [54] 54,18 unequal: No Solution Exploring Operation: 26+80=106, Resulting Numbers: [106] 106,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 4, 3, 31, 34 ]
83
[ "4+34=38", "3*38=114", "114-31=83" ]
Current State: 83:[4, 3, 31, 34], Operations: [] Exploring Operation: 4+34=38, Resulting Numbers: [3, 31, 38] Generated Node #2: [3, 31, 38] from Operation: 4+34=38 Current State: 83:[3, 31, 38], Operations: ['4+34=38'] Exploring Operation: 3*38=114, Resulting Numbers: [31, 114] Generated Node #3: [31, 114] from Operation: 3*38=114 Current State: 83:[31, 114], Operations: ['4+34=38', '3*38=114'] Exploring Operation: 114-31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[4, 3, 31, 34], Operations: [] Exploring Operation: 3*31=93, Resulting Numbers: [4, 34, 93] Generated Node #0,0: 83:[4, 34, 93] Operation: 3*31=93 Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[4, 34, 93], Operations: ['3*31=93'] Exploring Operation: 4+34=38, Resulting Numbers: [93, 38] Generated Node #0,0,0: 83:[93, 38] Operation: 4+34=38 Moving to Node #0,0,0 Current State: 83:[93, 38], Operations: ['3*31=93', '4+34=38'] Exploring Operation: 93-38=55, Resulting Numbers: [55] 55,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 34, 37, 99, 84 ]
88
[ "37+99=136", "136/34=4", "84+4=88" ]
Current State: 88:[34, 37, 99, 84], Operations: [] Exploring Operation: 37+99=136, Resulting Numbers: [34, 84, 136] Generated Node #2: [34, 84, 136] from Operation: 37+99=136 Current State: 88:[34, 84, 136], Operations: ['37+99=136'] Exploring Operation: 136/34=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 136/34=4 Current State: 88:[84, 4], Operations: ['37+99=136', '136/34=4'] Exploring Operation: 84+4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[34, 37, 99, 84], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [99, 84, 3] Generated Node #0,0: 88:[99, 84, 3] Operation: 37-34=3 Exploring Operation: 99-84=15, Resulting Numbers: [34, 37, 15] Generated Node #0,1: 88:[34, 37, 15] Operation: 99-84=15 Moving to Node #0,0 Current State: 88:[99, 84, 3], Operations: ['37-34=3'] Exploring Operation: 99-3=96, Resulting Numbers: [84, 96] Generated Node #0,0,0: 88:[84, 96] Operation: 99-3=96 Exploring Operation: 99-84=15, Resulting Numbers: [3, 15] Generated Node #0,0,1: 88:[3, 15] Operation: 99-84=15 Moving to Node #0,1 Current State: 88:[34, 37, 15], Operations: ['99-84=15'] Exploring Operation: 34-15=19, Resulting Numbers: [37, 19] Generated Node #0,1,0: 88:[37, 19] Operation: 34-15=19 Exploring Operation: 37-34=3, Resulting Numbers: [15, 3] Generated Node #0,1,1: 88:[15, 3] Operation: 37-34=3 Moving to Node #0,0,1 Current State: 88:[3, 15], Operations: ['37-34=3', '99-84=15'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,88 unequal: No Solution Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,88 unequal: No Solution Moving to Node #0,1,1 Current State: 88:[15, 3], Operations: ['99-84=15', '37-34=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,88 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,88 unequal: No Solution Moving to Node #0,1,0 Current State: 88:[37, 19], Operations: ['99-84=15', '34-15=19'] Exploring Operation: 37+19=56, Resulting Numbers: [56] 56,88 unequal: No Solution Exploring Operation: 37-19=18, Resulting Numbers: [18] 18,88 unequal: No Solution Moving to Node #0,0,0 Current State: 88:[84, 96], Operations: ['37-34=3', '99-3=96'] Exploring Operation: 84+96=180, Resulting Numbers: [180] 180,88 unequal: No Solution Exploring Operation: 96-84=12, Resulting Numbers: [12] 12,88 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 61, 4, 49, 23 ]
28
[ "61+23=84", "84/4=21", "49-21=28" ]
Current State: 28:[61, 4, 49, 23], Operations: [] Exploring Operation: 61+23=84, Resulting Numbers: [4, 49, 84] Generated Node #2: [4, 49, 84] from Operation: 61+23=84 Current State: 28:[4, 49, 84], Operations: ['61+23=84'] Exploring Operation: 84/4=21, Resulting Numbers: [49, 21] Generated Node #3: [49, 21] from Operation: 84/4=21 Current State: 28:[49, 21], Operations: ['61+23=84', '84/4=21'] Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[61, 4, 49, 23], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [4, 23, 12] Generated Node #0,0: 28:[4, 23, 12] Operation: 61-49=12 Exploring Operation: 49-23=26, Resulting Numbers: [61, 4, 26] Generated Node #0,1: 28:[61, 4, 26] Operation: 49-23=26 Exploring Operation: 61-23=38, Resulting Numbers: [4, 49, 38] Generated Node #0,2: 28:[4, 49, 38] Operation: 61-23=38 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[4, 23, 12], Operations: ['61-49=12'] Exploring Operation: 12-4=8, Resulting Numbers: [23, 8] Generated Node #0,0,0: 28:[23, 8] Operation: 12-4=8 Exploring Operation: 23-12=11, Resulting Numbers: [4, 11] Generated Node #0,0,1: 28:[4, 11] Operation: 23-12=11 Exploring Operation: 4+23=27, Resulting Numbers: [12, 27] Generated Node #0,0,2: 28:[12, 27] Operation: 4+23=27 Moving to Node #0,0,1 Current State: 28:[4, 11], Operations: ['61-49=12', '23-12=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,28 unequal: No Solution Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,28 unequal: No Solution Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,28 unequal: No Solution Moving to Node #0,0,2 Current State: 28:[12, 27], Operations: ['61-49=12', '4+23=27'] Exploring Operation: 12+27=39, Resulting Numbers: [39] 39,28 unequal: No Solution Exploring Operation: 12*27=324, Resulting Numbers: [324] 324,28 unequal: No Solution Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,28 unequal: No Solution Moving to Node #0,0,0 Current State: 28:[23, 8], Operations: ['61-49=12', '12-4=8'] Exploring Operation: 23+8=31, Resulting Numbers: [31] 31,28 unequal: No Solution Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,28 unequal: No Solution Exploring Operation: 23*8=184, Resulting Numbers: [184] 184,28 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:[4, 49, 38], Operations: ['61-23=38'] Exploring Operation: 49-38=11, Resulting Numbers: [4, 11] Generated Node #0,2,0: 28:[4, 11] Operation: 49-38=11 Exploring Operation: 49-4=45, Resulting Numbers: [38, 45] Generated Node #0,2,1: 28:[38, 45] Operation: 49-4=45 Exploring Operation: 38-4=34, Resulting Numbers: [49, 34] Generated Node #0,2,2: 28:[49, 34] Operation: 38-4=34 Moving to Node #0,2,0 Current State: 28:[4, 11], Operations: ['61-23=38', '49-38=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,28 unequal: No Solution Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,28 unequal: No Solution Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,28 unequal: No Solution Moving to Node #0,2,1 Current State: 28:[38, 45], Operations: ['61-23=38', '49-4=45'] Exploring Operation: 38+45=83, Resulting Numbers: [83] 83,28 unequal: No Solution Exploring Operation: 38*45=1710, Resulting Numbers: [1710] 1710,28 unequal: No Solution Exploring Operation: 45-38=7, Resulting Numbers: [7] 7,28 unequal: No Solution Moving to Node #0,2,2 Current State: 28:[49, 34], Operations: ['61-23=38', '38-4=34'] Exploring Operation: 49*34=1666, Resulting Numbers: [1666] 1666,28 unequal: No Solution Exploring Operation: 49+34=83, Resulting Numbers: [83] 83,28 unequal: No Solution Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,28 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 #0,1 Current State: 28:[61, 4, 26], Operations: ['49-23=26'] Exploring Operation: 4+26=30, Resulting Numbers: [61, 30] Generated Node #0,1,0: 28:[61, 30] Operation: 4+26=30 Exploring Operation: 61-4=57, Resulting Numbers: [26, 57] Generated Node #0,1,1: 28:[26, 57] Operation: 61-4=57 Exploring Operation: 61-26=35, Resulting Numbers: [4, 35] Generated Node #0,1,2: 28:[4, 35] Operation: 61-26=35 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 28:[4, 35], Operations: ['49-23=26', '61-26=35'] Exploring Operation: 4*35=140, Resulting Numbers: [140] 140,28 unequal: No Solution Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,28 unequal: No Solution Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 28:[26, 57], Operations: ['49-23=26', '61-4=57'] Exploring Operation: 26*57=1482, Resulting Numbers: [1482] 1482,28 unequal: No Solution Exploring Operation: 26+57=83, Resulting Numbers: [83] 83,28 unequal: No Solution Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 28:[61, 30], Operations: ['49-23=26', '4+26=30'] Exploring Operation: 61+30=91, Resulting Numbers: [91] 91,28 unequal: No Solution Exploring Operation: 61*30=1830, Resulting Numbers: [1830] 1830,28 unequal: No Solution Exploring Operation: 61-30=31, Resulting Numbers: [31] 31,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 96, 84, 63, 28 ]
80
[ "96+84=180", "28*180=5040", "5040/63=80" ]
Current State: 80:[96, 84, 63, 28], Operations: [] Exploring Operation: 96+84=180, Resulting Numbers: [63, 28, 180] Generated Node #2: [63, 28, 180] from Operation: 96+84=180 Current State: 80:[63, 28, 180], Operations: ['96+84=180'] Exploring Operation: 28*180=5040, Resulting Numbers: [63, 5040] Generated Node #3: [63, 5040] from Operation: 28*180=5040 Current State: 80:[63, 5040], Operations: ['96+84=180', '28*180=5040'] Exploring Operation: 5040/63=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[96, 84, 63, 28], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [63, 28, 12] Generated Node #0,0: 80:[63, 28, 12] Operation: 96-84=12 Exploring Operation: 96-63=33, Resulting Numbers: [84, 28, 33] Generated Node #0,1: 80:[84, 28, 33] Operation: 96-63=33 Exploring Operation: 84-63=21, Resulting Numbers: [96, 28, 21] Generated Node #0,2: 80:[96, 28, 21] Operation: 84-63=21 Exploring Operation: 63+28=91, Resulting Numbers: [96, 84, 91] Generated Node #0,3: 80:[96, 84, 91] Operation: 63+28=91 Exploring Operation: 63-28=35, Resulting Numbers: [96, 84, 35] Generated Node #0,4: 80:[96, 84, 35] Operation: 63-28=35 Moving to Node #0,1 Current State: 80:[84, 28, 33], Operations: ['96-63=33'] Exploring Operation: 28+33=61, Resulting Numbers: [84, 61] Generated Node #0,1,0: 80:[84, 61] Operation: 28+33=61 Exploring Operation: 84-33=51, Resulting Numbers: [28, 51] Generated Node #0,1,1: 80:[28, 51] Operation: 84-33=51 Exploring Operation: 84-28=56, Resulting Numbers: [33, 56] Generated Node #0,1,2: 80:[33, 56] Operation: 84-28=56 Exploring Operation: 84/28=3, Resulting Numbers: [33, 3] Generated Node #0,1,3: 80:[33, 3] Operation: 84/28=3 Exploring Operation: 33-28=5, Resulting Numbers: [84, 5] Generated Node #0,1,4: 80:[84, 5] Operation: 33-28=5 Moving to Node #0,4 Current State: 80:[96, 84, 35], Operations: ['63-28=35'] Exploring Operation: 84+35=119, Resulting Numbers: [96, 119] Generated Node #0,4,0: 80:[96, 119] Operation: 84+35=119 Exploring Operation: 96-84=12, Resulting Numbers: [35, 12] Generated Node #0,4,1: 80:[35, 12] Operation: 96-84=12 Exploring Operation: 96-35=61, Resulting Numbers: [84, 61] Generated Node #0,4,2: 80:[84, 61] Operation: 96-35=61 Exploring Operation: 96+35=131, Resulting Numbers: [84, 131] Generated Node #0,4,3: 80:[84, 131] Operation: 96+35=131 Exploring Operation: 84-35=49, Resulting Numbers: [96, 49] Generated Node #0,4,4: 80:[96, 49] Operation: 84-35=49 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 80:[35, 12], Operations: ['63-28=35', '96-84=12'] Exploring Operation: 35*12=420, Resulting Numbers: [420] 420,80 unequal: No Solution Exploring Operation: 35+12=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 80:[84, 61], Operations: ['63-28=35', '96-35=61'] Exploring Operation: 84-61=23, Resulting Numbers: [23] 23,80 unequal: No Solution Exploring Operation: 84+61=145, Resulting Numbers: [145] 145,80 unequal: No Solution Exploring Operation: 84*61=5124, Resulting Numbers: [5124] 5124,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 80:[96, 49], Operations: ['63-28=35', '84-35=49'] Exploring Operation: 96+49=145, Resulting Numbers: [145] 145,80 unequal: No Solution Exploring Operation: 96-49=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 96*49=4704, Resulting Numbers: [4704] 4704,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 80:[96, 119], Operations: ['63-28=35', '84+35=119'] Exploring Operation: 96+119=215, Resulting Numbers: [215] 215,80 unequal: No Solution Exploring Operation: 119-96=23, Resulting Numbers: [23] 23,80 unequal: No Solution Exploring Operation: 96*119=11424, Resulting Numbers: [11424] 11424,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 80:[84, 131], Operations: ['63-28=35', '96+35=131'] Exploring Operation: 131-84=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 84+131=215, Resulting Numbers: [215] 215,80 unequal: No Solution Exploring Operation: 84*131=11004, Resulting Numbers: [11004] 11004,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 80:[96, 28, 21], Operations: ['84-63=21'] Exploring Operation: 96-21=75, Resulting Numbers: [28, 75] Generated Node #0,2,0: 80:[28, 75] Operation: 96-21=75 Exploring Operation: 96-28=68, Resulting Numbers: [21, 68] Generated Node #0,2,1: 80:[21, 68] Operation: 96-28=68 Exploring Operation: 28-21=7, Resulting Numbers: [96, 7] Generated Node #0,2,2: 80:[96, 7] Operation: 28-21=7 Exploring Operation: 96+28=124, Resulting Numbers: [21, 124] Generated Node #0,2,3: 80:[21, 124] Operation: 96+28=124 Exploring Operation: 28+21=49, Resulting Numbers: [96, 49] Generated Node #0,2,4: 80:[96, 49] Operation: 28+21=49 Moving to Node #0,0 Current State: 80:[63, 28, 12], Operations: ['96-84=12'] Exploring Operation: 28-12=16, Resulting Numbers: [63, 16] Generated Node #0,0,0: 80:[63, 16] Operation: 28-12=16 Exploring Operation: 28+12=40, Resulting Numbers: [63, 40] Generated Node #0,0,1: 80:[63, 40] Operation: 28+12=40 Exploring Operation: 63+28=91, Resulting Numbers: [12, 91] Generated Node #0,0,2: 80:[12, 91] Operation: 63+28=91 Exploring Operation: 63-28=35, Resulting Numbers: [12, 35] Generated Node #0,0,3: 80:[12, 35] Operation: 63-28=35 Exploring Operation: 63+12=75, Resulting Numbers: [28, 75] Generated Node #0,0,4: 80:[28, 75] Operation: 63+12=75 Moving to Node #0,3 Current State: 80:[96, 84, 91], Operations: ['63+28=91'] Exploring Operation: 91-84=7, Resulting Numbers: [96, 7] Generated Node #0,3,0: 80:[96, 7] Operation: 91-84=7 Exploring Operation: 96-84=12, Resulting Numbers: [91, 12] Generated Node #0,3,1: 80:[91, 12] Operation: 96-84=12 Exploring Operation: 96+84=180, Resulting Numbers: [91, 180] Generated Node #0,3,2: 80:[91, 180] Operation: 96+84=180 Exploring Operation: 96+91=187, Resulting Numbers: [84, 187] Generated Node #0,3,3: 80:[84, 187] Operation: 96+91=187 Exploring Operation: 96-91=5, Resulting Numbers: [84, 5] Generated Node #0,3,4: 80:[84, 5] Operation: 96-91=5 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 80:[84, 5], Operations: ['63+28=91', '96-91=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,80 unequal: No Solution Exploring Operation: 84*5=420, Resulting Numbers: [420] 420,80 unequal: No Solution Exploring Operation: 84+5=89, Resulting Numbers: [89] 89,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 80:[91, 12], Operations: ['63+28=91', '96-84=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,80 unequal: No Solution Exploring Operation: 91+12=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 91*12=1092, Resulting Numbers: [1092] 1092,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 80:[96, 7], Operations: ['63+28=91', '91-84=7'] Exploring Operation: 96*7=672, Resulting Numbers: [672] 672,80 unequal: No Solution Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,80 unequal: No Solution Exploring Operation: 96+7=103, Resulting Numbers: [103] 103,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 80:[91, 180], Operations: ['63+28=91', '96+84=180'] Exploring Operation: 91+180=271, Resulting Numbers: [271] 271,80 unequal: No Solution Exploring Operation: 91*180=16380, Resulting Numbers: [16380] 16380,80 unequal: No Solution Exploring Operation: 180-91=89, Resulting Numbers: [89] 89,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 80:[84, 187], Operations: ['63+28=91', '96+91=187'] Exploring Operation: 187-84=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 84+187=271, Resulting Numbers: [271] 271,80 unequal: No Solution Exploring Operation: 84*187=15708, Resulting Numbers: [15708] 15708,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,4 Current State: 80:[84, 5], Operations: ['96-63=33', '33-28=5'] Exploring Operation: 84+5=89, Resulting Numbers: [89] 89,80 unequal: No Solution Exploring Operation: 84*5=420, Resulting Numbers: [420] 420,80 unequal: No Solution Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,80 unequal: No Solution Moving to Node #0,0,3 Current State: 80:[12, 35], Operations: ['96-84=12', '63-28=35'] Exploring Operation: 12+35=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,80 unequal: No Solution Exploring Operation: 12*35=420, Resulting Numbers: [420] 420,80 unequal: No Solution Moving to Node #0,1,3 Current State: 80:[33, 3], Operations: ['96-63=33', '84/28=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,80 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,80 unequal: No Solution Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,80 unequal: No Solution Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,80 unequal: No Solution Moving to Node #0,2,0 Current State: 80:[28, 75], Operations: ['84-63=21', '96-21=75'] Exploring Operation: 28*75=2100, Resulting Numbers: [2100] 2100,80 unequal: No Solution Exploring Operation: 28+75=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,80 unequal: No Solution Moving to Node #0,2,1 Current State: 80:[21, 68], Operations: ['84-63=21', '96-28=68'] Exploring Operation: 21+68=89, Resulting Numbers: [89] 89,80 unequal: No Solution Exploring Operation: 68-21=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 21*68=1428, Resulting Numbers: [1428] 1428,80 unequal: No Solution Moving to Node #0,0,4 Current State: 80:[28, 75], Operations: ['96-84=12', '63+12=75'] Exploring Operation: 28+75=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 28*75=2100, Resulting Numbers: [2100] 2100,80 unequal: No Solution Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,80 unequal: No Solution Moving to Node #0,0,2 Current State: 80:[12, 91], Operations: ['96-84=12', '63+28=91'] Exploring Operation: 12+91=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,80 unequal: No Solution Exploring Operation: 12*91=1092, Resulting Numbers: [1092] 1092,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[63, 40], Operations: ['96-84=12', '28+12=40'] Exploring Operation: 63+40=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 63*40=2520, Resulting Numbers: [2520] 2520,80 unequal: No Solution Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,80 unequal: No Solution Moving to Node #0,0,0 Current State: 80:[63, 16], Operations: ['96-84=12', '28-12=16'] Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 63+16=79, Resulting Numbers: [79] 79,80 unequal: No Solution Exploring Operation: 63*16=1008, Resulting Numbers: [1008] 1008,80 unequal: No Solution Moving to Node #0,2,2 Current State: 80:[96, 7], Operations: ['84-63=21', '28-21=7'] Exploring Operation: 96*7=672, Resulting Numbers: [672] 672,80 unequal: No Solution Exploring Operation: 96+7=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[28, 51], Operations: ['96-63=33', '84-33=51'] Exploring Operation: 28*51=1428, Resulting Numbers: [1428] 1428,80 unequal: No Solution Exploring Operation: 51-28=23, Resulting Numbers: [23] 23,80 unequal: No Solution Exploring Operation: 28+51=79, Resulting Numbers: [79] 79,80 unequal: No Solution Moving to Node #0,1,2 Current State: 80:[33, 56], Operations: ['96-63=33', '84-28=56'] Exploring Operation: 33+56=89, Resulting Numbers: [89] 89,80 unequal: No Solution Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,80 unequal: No Solution Exploring Operation: 33*56=1848, Resulting Numbers: [1848] 1848,80 unequal: No Solution Moving to Node #0,1,0 Current State: 80:[84, 61], Operations: ['96-63=33', '28+33=61'] Exploring Operation: 84-61=23, Resulting Numbers: [23] 23,80 unequal: No Solution Exploring Operation: 84+61=145, Resulting Numbers: [145] 145,80 unequal: No Solution Exploring Operation: 84*61=5124, Resulting Numbers: [5124] 5124,80 unequal: No Solution Moving to Node #0,2,4 Current State: 80:[96, 49], Operations: ['84-63=21', '28+21=49'] Exploring Operation: 96*49=4704, Resulting Numbers: [4704] 4704,80 unequal: No Solution Exploring Operation: 96+49=145, Resulting Numbers: [145] 145,80 unequal: No Solution Exploring Operation: 96-49=47, Resulting Numbers: [47] 47,80 unequal: No Solution Moving to Node #0,2,3 Current State: 80:[21, 124], Operations: ['84-63=21', '96+28=124'] Exploring Operation: 124-21=103, Resulting Numbers: [103] 103,80 unequal: No Solution Exploring Operation: 21+124=145, Resulting Numbers: [145] 145,80 unequal: No Solution Exploring Operation: 21*124=2604, Resulting Numbers: [2604] 2604,80 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 67, 26, 39, 24 ]
51
[ "26*24=624", "624/39=16", "67-16=51" ]
Current State: 51:[67, 26, 39, 24], Operations: [] Exploring Operation: 26*24=624, Resulting Numbers: [67, 39, 624] Generated Node #2: [67, 39, 624] from Operation: 26*24=624 Current State: 51:[67, 39, 624], Operations: ['26*24=624'] Exploring Operation: 624/39=16, Resulting Numbers: [67, 16] Generated Node #3: [67, 16] from Operation: 624/39=16 Current State: 51:[67, 16], Operations: ['26*24=624', '624/39=16'] Exploring Operation: 67-16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[67, 26, 39, 24], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [67, 24, 13] Generated Node #0,0: 51:[67, 24, 13] Operation: 39-26=13 Exploring Operation: 67-39=28, Resulting Numbers: [26, 24, 28] Generated Node #0,1: 51:[26, 24, 28] Operation: 67-39=28 Exploring Operation: 39-24=15, Resulting Numbers: [67, 26, 15] Generated Node #0,2: 51:[67, 26, 15] Operation: 39-24=15 Moving to Node #0,0 Current State: 51:[67, 24, 13], Operations: ['39-26=13'] Exploring Operation: 67-13=54, Resulting Numbers: [24, 54] Generated Node #0,0,0: 51:[24, 54] Operation: 67-13=54 Exploring Operation: 67-24=43, Resulting Numbers: [13, 43] Generated Node #0,0,1: 51:[13, 43] Operation: 67-24=43 Exploring Operation: 24-13=11, Resulting Numbers: [67, 11] Generated Node #0,0,2: 51:[67, 11] Operation: 24-13=11 Moving to Node #0,1 Current State: 51:[26, 24, 28], Operations: ['67-39=28'] Exploring Operation: 28-26=2, Resulting Numbers: [24, 2] Generated Node #0,1,0: 51:[24, 2] Operation: 28-26=2 Exploring Operation: 26+28=54, Resulting Numbers: [24, 54] Generated Node #0,1,1: 51:[24, 54] Operation: 26+28=54 Exploring Operation: 24+28=52, Resulting Numbers: [26, 52] Generated Node #0,1,2: 51:[26, 52] Operation: 24+28=52 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 51:[24, 2], Operations: ['67-39=28', '28-26=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,51 unequal: No Solution Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,51 unequal: No Solution Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 51:[24, 54], Operations: ['67-39=28', '26+28=54'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,51 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,51 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 51:[26, 52], Operations: ['67-39=28', '24+28=52'] Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,51 unequal: No Solution Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,51 unequal: No Solution Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 51:[67, 26, 15], Operations: ['39-24=15'] Exploring Operation: 26-15=11, Resulting Numbers: [67, 11] Generated Node #0,2,0: 51:[67, 11] Operation: 26-15=11 Exploring Operation: 67-15=52, Resulting Numbers: [26, 52] Generated Node #0,2,1: 51:[26, 52] Operation: 67-15=52 Exploring Operation: 67-26=41, Resulting Numbers: [15, 41] Generated Node #0,2,2: 51:[15, 41] Operation: 67-26=41 Moving to Node #0,0,0 Current State: 51:[24, 54], Operations: ['39-26=13', '67-13=54'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,51 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,51 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,51 unequal: No Solution Moving to Node #0,2,1 Current State: 51:[26, 52], Operations: ['39-24=15', '67-15=52'] Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,51 unequal: No Solution Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,51 unequal: No Solution Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,51 unequal: No Solution Moving to Node #0,2,2 Current State: 51:[15, 41], Operations: ['39-24=15', '67-26=41'] Exploring Operation: 15*41=615, Resulting Numbers: [615] 615,51 unequal: No Solution Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,51 unequal: No Solution Exploring Operation: 15+41=56, Resulting Numbers: [56] 56,51 unequal: No Solution Moving to Node #0,0,1 Current State: 51:[13, 43], Operations: ['39-26=13', '67-24=43'] Exploring Operation: 13+43=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 13*43=559, Resulting Numbers: [559] 559,51 unequal: No Solution Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,51 unequal: No Solution Moving to Node #0,2,0 Current State: 51:[67, 11], Operations: ['39-24=15', '26-15=11'] Exploring Operation: 67-11=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 67*11=737, Resulting Numbers: [737] 737,51 unequal: No Solution Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,51 unequal: No Solution Moving to Node #0,0,2 Current State: 51:[67, 11], Operations: ['39-26=13', '24-13=11'] Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,51 unequal: No Solution Exploring Operation: 67*11=737, Resulting Numbers: [737] 737,51 unequal: No Solution Exploring Operation: 67-11=56, Resulting Numbers: [56] 56,51 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 38, 8, 41, 6 ]
60
[ "8-6=2", "38/2=19", "41+19=60" ]
Current State: 60:[38, 8, 41, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [38, 41, 2] Generated Node #2: [38, 41, 2] from Operation: 8-6=2 Current State: 60:[38, 41, 2], Operations: ['8-6=2'] Exploring Operation: 38/2=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 38/2=19 Current State: 60:[41, 19], Operations: ['8-6=2', '38/2=19'] Exploring Operation: 41+19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[38, 8, 41, 6], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [8, 41, 32] Generated Node #0,0: 60:[8, 41, 32] Operation: 38-6=32 Exploring Operation: 41-8=33, Resulting Numbers: [38, 6, 33] Generated Node #0,1: 60:[38, 6, 33] Operation: 41-8=33 Exploring Operation: 38-8=30, Resulting Numbers: [41, 6, 30] Generated Node #0,2: 60:[41, 6, 30] Operation: 38-8=30 Exploring Operation: 41-38=3, Resulting Numbers: [8, 6, 3] Generated Node #0,3: 60:[8, 6, 3] Operation: 41-38=3 Start Sub Search at level 1: Moving to Node #0,3 Current State: 60:[8, 6, 3], Operations: ['41-38=3'] Exploring Operation: 8-3=5, Resulting Numbers: [6, 5] Generated Node #0,3,0: 60:[6, 5] Operation: 8-3=5 Exploring Operation: 8+6=14, Resulting Numbers: [3, 14] Generated Node #0,3,1: 60:[3, 14] Operation: 8+6=14 Exploring Operation: 8-6=2, Resulting Numbers: [3, 2] Generated Node #0,3,2: 60:[3, 2] Operation: 8-6=2 Exploring Operation: 8+3=11, Resulting Numbers: [6, 11] Generated Node #0,3,3: 60:[6, 11] Operation: 8+3=11 Moving to Node #0,3,0 Current State: 60:[6, 5], Operations: ['41-38=3', '8-3=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,60 unequal: No Solution Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,60 unequal: No Solution Moving to Node #0,3,2 Current State: 60:[3, 2], Operations: ['41-38=3', '8-6=2'] Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,60 unequal: No Solution Exploring Operation: 3*2=6, Resulting Numbers: [6] 6,60 unequal: No Solution Moving to Node #0,3,3 Current State: 60:[6, 11], Operations: ['41-38=3', '8+3=11'] Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 6+11=17, Resulting Numbers: [17] 17,60 unequal: No Solution Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,60 unequal: No Solution Moving to Node #0,3,1 Current State: 60:[3, 14], Operations: ['41-38=3', '8+6=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,60 unequal: No Solution Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,60 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:[38, 6, 33], Operations: ['41-8=33'] Exploring Operation: 38-6=32, Resulting Numbers: [33, 32] Generated Node #0,1,0: 60:[33, 32] Operation: 38-6=32 Exploring Operation: 38+33=71, Resulting Numbers: [6, 71] Generated Node #0,1,1: 60:[6, 71] Operation: 38+33=71 Exploring Operation: 33-6=27, Resulting Numbers: [38, 27] Generated Node #0,1,2: 60:[38, 27] Operation: 33-6=27 Exploring Operation: 38-33=5, Resulting Numbers: [6, 5] Generated Node #0,1,3: 60:[6, 5] Operation: 38-33=5 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 60:[6, 5], Operations: ['41-8=33', '38-33=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,60 unequal: No Solution Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,60 unequal: No Solution Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,60 unequal: No Solution No 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: 60:[33, 32], Operations: ['41-8=33', '38-6=32'] Exploring Operation: 33-32=1, Resulting Numbers: [1] 1,60 unequal: No Solution Exploring Operation: 33*32=1056, Resulting Numbers: [1056] 1056,60 unequal: No Solution Exploring Operation: 33+32=65, Resulting Numbers: [65] 65,60 unequal: No Solution No 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: 60:[6, 71], Operations: ['41-8=33', '38+33=71'] Exploring Operation: 6+71=77, Resulting Numbers: [77] 77,60 unequal: No Solution Exploring Operation: 6*71=426, Resulting Numbers: [426] 426,60 unequal: No Solution Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,60 unequal: No Solution No 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: 60:[38, 27], Operations: ['41-8=33', '33-6=27'] Exploring Operation: 38*27=1026, Resulting Numbers: [1026] 1026,60 unequal: No Solution Exploring Operation: 38+27=65, Resulting Numbers: [65] 65,60 unequal: No Solution Exploring Operation: 38-27=11, Resulting Numbers: [11] 11,60 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: 60:[41, 6, 30], Operations: ['38-8=30'] Exploring Operation: 41-30=11, Resulting Numbers: [6, 11] Generated Node #0,2,0: 60:[6, 11] Operation: 41-30=11 Exploring Operation: 41-6=35, Resulting Numbers: [30, 35] Generated Node #0,2,1: 60:[30, 35] Operation: 41-6=35 Exploring Operation: 41+30=71, Resulting Numbers: [6, 71] Generated Node #0,2,2: 60:[6, 71] Operation: 41+30=71 Exploring Operation: 30/6=5, Resulting Numbers: [41, 5] Generated Node #0,2,3: 60:[41, 5] Operation: 30/6=5 Moving to Node #0,2,0 Current State: 60:[6, 11], Operations: ['38-8=30', '41-30=11'] Exploring Operation: 6+11=17, Resulting Numbers: [17] 17,60 unequal: No Solution Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,60 unequal: No Solution Moving to Node #0,2,1 Current State: 60:[30, 35], Operations: ['38-8=30', '41-6=35'] Exploring Operation: 35-30=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 30*35=1050, Resulting Numbers: [1050] 1050,60 unequal: No Solution Exploring Operation: 30+35=65, Resulting Numbers: [65] 65,60 unequal: No Solution Moving to Node #0,2,3 Current State: 60:[41, 5], Operations: ['38-8=30', '30/6=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,60 unequal: No Solution Exploring Operation: 41-5=36, Resulting Numbers: [36] 36,60 unequal: No Solution Exploring Operation: 41*5=205, Resulting Numbers: [205] 205,60 unequal: No Solution Moving to Node #0,2,2 Current State: 60:[6, 71], Operations: ['38-8=30', '41+30=71'] Exploring Operation: 6+71=77, Resulting Numbers: [77] 77,60 unequal: No Solution Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,60 unequal: No Solution Exploring Operation: 6*71=426, Resulting Numbers: [426] 426,60 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 #0,0 Current State: 60:[8, 41, 32], Operations: ['38-6=32'] Exploring Operation: 8+41=49, Resulting Numbers: [32, 49] Generated Node #0,0,0: 60:[32, 49] Operation: 8+41=49 Exploring Operation: 41-32=9, Resulting Numbers: [8, 9] Generated Node #0,0,1: 60:[8, 9] Operation: 41-32=9 Exploring Operation: 32/8=4, Resulting Numbers: [41, 4] Generated Node #0,0,2: 60:[41, 4] Operation: 32/8=4 Exploring Operation: 41-8=33, Resulting Numbers: [32, 33] Generated Node #0,0,3: 60:[32, 33] Operation: 41-8=33 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 60:[8, 9], Operations: ['38-6=32', '41-32=9'] Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,60 unequal: No Solution Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,60 unequal: No Solution Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,60 unequal: No Solution No 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: 60:[32, 33], Operations: ['38-6=32', '41-8=33'] Exploring Operation: 33-32=1, Resulting Numbers: [1] 1,60 unequal: No Solution Exploring Operation: 32+33=65, Resulting Numbers: [65] 65,60 unequal: No Solution Exploring Operation: 32*33=1056, Resulting Numbers: [1056] 1056,60 unequal: No Solution No 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: 60:[41, 4], Operations: ['38-6=32', '32/8=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,60 unequal: No Solution Exploring Operation: 41*4=164, Resulting Numbers: [164] 164,60 unequal: No Solution Exploring Operation: 41-4=37, Resulting Numbers: [37] 37,60 unequal: No Solution No 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: 60:[32, 49], Operations: ['38-6=32', '8+41=49'] Exploring Operation: 32*49=1568, Resulting Numbers: [1568] 1568,60 unequal: No Solution Exploring Operation: 32+49=81, Resulting Numbers: [81] 81,60 unequal: No Solution Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 60, 99, 39, 42 ]
93
[ "42-39=3", "99/3=33", "60+33=93" ]
Current State: 93:[60, 99, 39, 42], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [60, 99, 3] Generated Node #2: [60, 99, 3] from Operation: 42-39=3 Current State: 93:[60, 99, 3], Operations: ['42-39=3'] Exploring Operation: 99/3=33, Resulting Numbers: [60, 33] Generated Node #3: [60, 33] from Operation: 99/3=33 Current State: 93:[60, 33], Operations: ['42-39=3', '99/3=33'] Exploring Operation: 60+33=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[60, 99, 39, 42], Operations: [] Exploring Operation: 60-39=21, Resulting Numbers: [99, 42, 21] Generated Node #0,0: 93:[99, 42, 21] Operation: 60-39=21 Exploring Operation: 99-60=39, Resulting Numbers: [39, 42, 39] Generated Node #0,1: 93:[39, 42, 39] Operation: 99-60=39 Exploring Operation: 60+42=102, Resulting Numbers: [99, 39, 102] Generated Node #0,2: 93:[99, 39, 102] Operation: 60+42=102 Exploring Operation: 60+39=99, Resulting Numbers: [99, 42, 99] Generated Node #0,3: 93:[99, 42, 99] Operation: 60+39=99 Exploring Operation: 60-42=18, Resulting Numbers: [99, 39, 18] Generated Node #0,4: 93:[99, 39, 18] Operation: 60-42=18 Start Sub Search at level 1: Moving to Node #0,2 Current State: 93:[99, 39, 102], Operations: ['60+42=102'] Exploring Operation: 102-99=3, Resulting Numbers: [39, 3] Generated Node #0,2,0: 93:[39, 3] Operation: 102-99=3 Exploring Operation: 99-39=60, Resulting Numbers: [102, 60] Generated Node #0,2,1: 93:[102, 60] Operation: 99-39=60 Exploring Operation: 39+102=141, Resulting Numbers: [99, 141] Generated Node #0,2,2: 93:[99, 141] Operation: 39+102=141 Exploring Operation: 99+39=138, Resulting Numbers: [102, 138] Generated Node #0,2,3: 93:[102, 138] Operation: 99+39=138 Exploring Operation: 102-39=63, Resulting Numbers: [99, 63] Generated Node #0,2,4: 93:[99, 63] Operation: 102-39=63 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 93:[39, 3], Operations: ['60+42=102', '102-99=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,93 unequal: No Solution Exploring Operation: 39*3=117, Resulting Numbers: [117] 117,93 unequal: No Solution Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 93:[99, 63], Operations: ['60+42=102', '102-39=63'] Exploring Operation: 99+63=162, Resulting Numbers: [162] 162,93 unequal: No Solution Exploring Operation: 99-63=36, Resulting Numbers: [36] 36,93 unequal: No Solution Exploring Operation: 99*63=6237, Resulting Numbers: [6237] 6237,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 93:[102, 60], Operations: ['60+42=102', '99-39=60'] Exploring Operation: 102-60=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 102*60=6120, Resulting Numbers: [6120] 6120,93 unequal: No Solution Exploring Operation: 102+60=162, Resulting Numbers: [162] 162,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 93:[99, 141], Operations: ['60+42=102', '39+102=141'] Exploring Operation: 99*141=13959, Resulting Numbers: [13959] 13959,93 unequal: No Solution Exploring Operation: 99+141=240, Resulting Numbers: [240] 240,93 unequal: No Solution Exploring Operation: 141-99=42, Resulting Numbers: [42] 42,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 93:[102, 138], Operations: ['60+42=102', '99+39=138'] Exploring Operation: 138-102=36, Resulting Numbers: [36] 36,93 unequal: No Solution Exploring Operation: 102+138=240, Resulting Numbers: [240] 240,93 unequal: No Solution Exploring Operation: 102*138=14076, Resulting Numbers: [14076] 14076,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 93:[99, 42, 99], Operations: ['60+39=99'] Exploring Operation: 99/99=1, Resulting Numbers: [42, 1] Generated Node #0,3,0: 93:[42, 1] Operation: 99/99=1 Exploring Operation: 99-42=57, Resulting Numbers: [99, 57] Generated Node #0,3,1: 93:[99, 57] Operation: 99-42=57 Exploring Operation: 99-42=57, Resulting Numbers: [99, 57] Generated Node #0,3,2: 93:[99, 57] Operation: 99-42=57 Exploring Operation: 99+42=141, Resulting Numbers: [99, 141] Generated Node #0,3,3: 93:[99, 141] Operation: 99+42=141 Exploring Operation: 99-99=0, Resulting Numbers: [42, 0] Generated Node #0,3,4: 93:[42, 0] Operation: 99-99=0 Moving to Node #0,3,0 Current State: 93:[42, 1], Operations: ['60+39=99', '99/99=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,93 unequal: No Solution Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,93 unequal: No Solution Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 42/1=42, Resulting Numbers: [42] 42,93 unequal: No Solution Moving to Node #0,3,4 Current State: 93:[42, 0], Operations: ['60+39=99', '99-99=0'] Exploring Operation: 42-0=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 42*0=0, Resulting Numbers: [0] 0,93 unequal: No Solution Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,93 unequal: No Solution Moving to Node #0,3,1 Current State: 93:[99, 57], Operations: ['60+39=99', '99-42=57'] Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 99+57=156, Resulting Numbers: [156] 156,93 unequal: No Solution Exploring Operation: 99*57=5643, Resulting Numbers: [5643] 5643,93 unequal: No Solution Moving to Node #0,3,2 Current State: 93:[99, 57], Operations: ['60+39=99', '99-42=57'] Exploring Operation: 99*57=5643, Resulting Numbers: [5643] 5643,93 unequal: No Solution Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 99+57=156, Resulting Numbers: [156] 156,93 unequal: No Solution Moving to Node #0,3,3 Current State: 93:[99, 141], Operations: ['60+39=99', '99+42=141'] Exploring Operation: 99*141=13959, Resulting Numbers: [13959] 13959,93 unequal: No Solution Exploring Operation: 141-99=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 99+141=240, Resulting Numbers: [240] 240,93 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 #0,0 Current State: 93:[99, 42, 21], Operations: ['60-39=21'] Exploring Operation: 99-21=78, Resulting Numbers: [42, 78] Generated Node #0,0,0: 93:[42, 78] Operation: 99-21=78 Exploring Operation: 42-21=21, Resulting Numbers: [99, 21] Generated Node #0,0,1: 93:[99, 21] Operation: 42-21=21 Exploring Operation: 42+21=63, Resulting Numbers: [99, 63] Generated Node #0,0,2: 93:[99, 63] Operation: 42+21=63 Exploring Operation: 99-42=57, Resulting Numbers: [21, 57] Generated Node #0,0,3: 93:[21, 57] Operation: 99-42=57 Exploring Operation: 42/21=2, Resulting Numbers: [99, 2] Generated Node #0,0,4: 93:[99, 2] Operation: 42/21=2 Moving to Node #0,0,4 Current State: 93:[99, 2], Operations: ['60-39=21', '42/21=2'] Exploring Operation: 99+2=101, Resulting Numbers: [101] 101,93 unequal: No Solution Exploring Operation: 99*2=198, Resulting Numbers: [198] 198,93 unequal: No Solution Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,93 unequal: No Solution Moving to Node #0,0,1 Current State: 93:[99, 21], Operations: ['60-39=21', '42-21=21'] Exploring Operation: 99+21=120, Resulting Numbers: [120] 120,93 unequal: No Solution Exploring Operation: 99-21=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 99*21=2079, Resulting Numbers: [2079] 2079,93 unequal: No Solution Moving to Node #0,0,0 Current State: 93:[42, 78], Operations: ['60-39=21', '99-21=78'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,93 unequal: No Solution Exploring Operation: 42*78=3276, Resulting Numbers: [3276] 3276,93 unequal: No Solution Exploring Operation: 42+78=120, Resulting Numbers: [120] 120,93 unequal: No Solution Moving to Node #0,0,2 Current State: 93:[99, 63], Operations: ['60-39=21', '42+21=63'] Exploring Operation: 99+63=162, Resulting Numbers: [162] 162,93 unequal: No Solution Exploring Operation: 99*63=6237, Resulting Numbers: [6237] 6237,93 unequal: No Solution Exploring Operation: 99-63=36, Resulting Numbers: [36] 36,93 unequal: No Solution Moving to Node #0,0,3 Current State: 93:[21, 57], Operations: ['60-39=21', '99-42=57'] Exploring Operation: 21*57=1197, Resulting Numbers: [1197] 1197,93 unequal: No Solution Exploring Operation: 21+57=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 57-21=36, Resulting Numbers: [36] 36,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 93:[39, 42, 39], Operations: ['99-60=39'] Exploring Operation: 42-39=3, Resulting Numbers: [39, 3] Generated Node #0,1,0: 93:[39, 3] Operation: 42-39=3 Exploring Operation: 39/39=1, Resulting Numbers: [42, 1] Generated Node #0,1,1: 93:[42, 1] Operation: 39/39=1 Exploring Operation: 42-39=3, Resulting Numbers: [39, 3] Generated Node #0,1,2: 93:[39, 3] Operation: 42-39=3 Exploring Operation: 39-39=0, Resulting Numbers: [42, 0] Generated Node #0,1,3: 93:[42, 0] Operation: 39-39=0 Exploring Operation: 39+42=81, Resulting Numbers: [39, 81] Generated Node #0,1,4: 93:[39, 81] Operation: 39+42=81 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 93:[39, 3], Operations: ['99-60=39', '42-39=3'] Exploring Operation: 39*3=117, Resulting Numbers: [117] 117,93 unequal: No Solution Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,93 unequal: No Solution Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 93:[39, 3], Operations: ['99-60=39', '42-39=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,93 unequal: No Solution Exploring Operation: 39*3=117, Resulting Numbers: [117] 117,93 unequal: No Solution Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 93:[42, 1], Operations: ['99-60=39', '39/39=1'] Exploring Operation: 42/1=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,93 unequal: No Solution Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 93:[42, 0], Operations: ['99-60=39', '39-39=0'] Exploring Operation: 42-0=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 42*0=0, Resulting Numbers: [0] 0,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 93:[39, 81], Operations: ['99-60=39', '39+42=81'] Exploring Operation: 39+81=120, Resulting Numbers: [120] 120,93 unequal: No Solution Exploring Operation: 81-39=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 39*81=3159, Resulting Numbers: [3159] 3159,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 93:[99, 39, 18], Operations: ['60-42=18'] Exploring Operation: 39-18=21, Resulting Numbers: [99, 21] Generated Node #0,4,0: 93:[99, 21] Operation: 39-18=21 Exploring Operation: 99+18=117, Resulting Numbers: [39, 117] Generated Node #0,4,1: 93:[39, 117] Operation: 99+18=117 Exploring Operation: 99-18=81, Resulting Numbers: [39, 81] Generated Node #0,4,2: 93:[39, 81] Operation: 99-18=81 Exploring Operation: 99-39=60, Resulting Numbers: [18, 60] Generated Node #0,4,3: 93:[18, 60] Operation: 99-39=60 Exploring Operation: 39+18=57, Resulting Numbers: [99, 57] Generated Node #0,4,4: 93:[99, 57] Operation: 39+18=57 Moving to Node #0,4,0 Current State: 93:[99, 21], Operations: ['60-42=18', '39-18=21'] Exploring Operation: 99-21=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 99*21=2079, Resulting Numbers: [2079] 2079,93 unequal: No Solution Exploring Operation: 99+21=120, Resulting Numbers: [120] 120,93 unequal: No Solution Moving to Node #0,4,2 Current State: 93:[39, 81], Operations: ['60-42=18', '99-18=81'] Exploring Operation: 81-39=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 39+81=120, Resulting Numbers: [120] 120,93 unequal: No Solution Exploring Operation: 39*81=3159, Resulting Numbers: [3159] 3159,93 unequal: No Solution Moving to Node #0,4,1 Current State: 93:[39, 117], Operations: ['60-42=18', '99+18=117'] Exploring Operation: 117/39=3, Resulting Numbers: [3] 3,93 unequal: No Solution Exploring Operation: 39*117=4563, Resulting Numbers: [4563] 4563,93 unequal: No Solution Exploring Operation: 39+117=156, Resulting Numbers: [156] 156,93 unequal: No Solution Exploring Operation: 117-39=78, Resulting Numbers: [78] 78,93 unequal: No Solution Moving to Node #0,4,4 Current State: 93:[99, 57], Operations: ['60-42=18', '39+18=57'] Exploring Operation: 99*57=5643, Resulting Numbers: [5643] 5643,93 unequal: No Solution Exploring Operation: 99+57=156, Resulting Numbers: [156] 156,93 unequal: No Solution Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,93 unequal: No Solution Moving to Node #0,4,3 Current State: 93:[18, 60], Operations: ['60-42=18', '99-39=60'] Exploring Operation: 60-18=42, Resulting Numbers: [42] 42,93 unequal: No Solution Exploring Operation: 18+60=78, Resulting Numbers: [78] 78,93 unequal: No Solution Exploring Operation: 18*60=1080, Resulting Numbers: [1080] 1080,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 96, 42, 40, 4 ]
22
[ "96+42=138", "40*4=160", "160-138=22" ]
Current State: 22:[96, 42, 40, 4], Operations: [] Exploring Operation: 96+42=138, Resulting Numbers: [40, 4, 138] Generated Node #2: [40, 4, 138] from Operation: 96+42=138 Current State: 22:[40, 4, 138], Operations: ['96+42=138'] Exploring Operation: 40*4=160, Resulting Numbers: [138, 160] Generated Node #3: [138, 160] from Operation: 40*4=160 Current State: 22:[138, 160], Operations: ['96+42=138', '40*4=160'] Exploring Operation: 160-138=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[96, 42, 40, 4], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [42, 40, 24] Generated Node #0,0: 22:[42, 40, 24] Operation: 96/4=24 Start Sub Search at level 1: Moving to Node #0,0 Current State: 22:[42, 40, 24], Operations: ['96/4=24'] Exploring Operation: 42-40=2, Resulting Numbers: [24, 2] Generated Node #0,0,0: 22:[24, 2] Operation: 42-40=2 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 22:[24, 2], Operations: ['96/4=24', '42-40=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[96, 42, 40, 4], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [42, 40, 24] Generated Node #0,0: 22:[42, 40, 24] Operation: 96/4=24 Moving to Node #0,0 Current State: 22:[42, 40, 24], Operations: ['96/4=24'] Exploring Operation: 42-40=2, Resulting Numbers: [24, 2] Generated Node #0,0,0: 22:[24, 2] Operation: 42-40=2 Moving to Node #0,0,0 Current State: 22:[24, 2], Operations: ['96/4=24', '42-40=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 59, 84, 48, 49 ]
72
[ "84-59=25", "48+49=97", "97-25=72" ]
Current State: 72:[59, 84, 48, 49], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [48, 49, 25] Generated Node #2: [48, 49, 25] from Operation: 84-59=25 Current State: 72:[48, 49, 25], Operations: ['84-59=25'] Exploring Operation: 48+49=97, Resulting Numbers: [25, 97] Generated Node #3: [25, 97] from Operation: 48+49=97 Current State: 72:[25, 97], Operations: ['84-59=25', '48+49=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[59, 84, 48, 49], Operations: [] Exploring Operation: 59-49=10, Resulting Numbers: [84, 48, 10] Generated Node #0,0: 72:[84, 48, 10] Operation: 59-49=10 Moving to Node #0,0 Current State: 72:[84, 48, 10], Operations: ['59-49=10'] Exploring Operation: 84-48=36, Resulting Numbers: [10, 36] Generated Node #0,0,0: 72:[10, 36] Operation: 84-48=36 Moving to Node #0,0,0 Current State: 72:[10, 36], Operations: ['59-49=10', '84-48=36'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,72 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 76, 6, 89, 48 ]
67
[ "76-6=70", "89+48=137", "137-70=67" ]
Current State: 67:[76, 6, 89, 48], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [89, 48, 70] Generated Node #2: [89, 48, 70] from Operation: 76-6=70 Current State: 67:[89, 48, 70], Operations: ['76-6=70'] Exploring Operation: 89+48=137, Resulting Numbers: [70, 137] Generated Node #3: [70, 137] from Operation: 89+48=137 Current State: 67:[70, 137], Operations: ['76-6=70', '89+48=137'] Exploring Operation: 137-70=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
Current State: 67:[76, 6, 89, 48], Operations: [] Exploring Operation: 76+6=82, Resulting Numbers: [89, 48, 82] Generated Node #0,0: 67:[89, 48, 82] Operation: 76+6=82 Exploring Operation: 76-6=70, Resulting Numbers: [89, 48, 70] Generated Node #0,1: 67:[89, 48, 70] Operation: 76-6=70 Exploring Operation: 6+48=54, Resulting Numbers: [76, 89, 54] Generated Node #0,2: 67:[76, 89, 54] Operation: 6+48=54 Exploring Operation: 89-6=83, Resulting Numbers: [76, 48, 83] Generated Node #0,3: 67:[76, 48, 83] Operation: 89-6=83 Moving to Node #0,1 Current State: 67:[89, 48, 70], Operations: ['76-6=70'] Exploring Operation: 89+48=137, Resulting Numbers: [70, 137] Generated Node #0,1,0: 67:[70, 137] Operation: 89+48=137 Exploring Operation: 89-48=41, Resulting Numbers: [70, 41] Generated Node #0,1,1: 67:[70, 41] Operation: 89-48=41 Exploring Operation: 70-48=22, Resulting Numbers: [89, 22] Generated Node #0,1,2: 67:[89, 22] Operation: 70-48=22 Exploring Operation: 89-70=19, Resulting Numbers: [48, 19] Generated Node #0,1,3: 67:[48, 19] Operation: 89-70=19 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 67:[70, 41], Operations: ['76-6=70', '89-48=41'] Exploring Operation: 70+41=111, Resulting Numbers: [111] 111,67 unequal: No Solution Exploring Operation: 70*41=2870, Resulting Numbers: [2870] 2870,67 unequal: No Solution Exploring Operation: 70-41=29, Resulting Numbers: [29] 29,67 unequal: No Solution No 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: 67:[89, 22], Operations: ['76-6=70', '70-48=22'] Exploring Operation: 89*22=1958, Resulting Numbers: [1958] 1958,67 unequal: No Solution Exploring Operation: 89+22=111, Resulting Numbers: [111] 111,67 unequal: No Solution Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,67 equal: Goal Reached Moving to Node #0 Current State: 67:[76, 6, 89, 48], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [89, 48, 70] Generated Node #0,1: 67:[89, 48, 70] Operation: 76-6=70 Moving to Node #0,1 Current State: 67:[89, 48, 70], Operations: ['76-6=70'] Exploring Operation: 70-48=22, Resulting Numbers: [89, 22] Generated Node #0,1,2: 67:[89, 22] Operation: 70-48=22 Moving to Node #0,1,2 Current State: 67:[89, 22], Operations: ['76-6=70', '70-48=22'] Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,67 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_4
mult_heuristic
[ 47, 39, 3, 5 ]
29
[ "47-39=8", "3*8=24", "5+24=29" ]
Current State: 29:[47, 39, 3, 5], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [3, 5, 8] Generated Node #2: [3, 5, 8] from Operation: 47-39=8 Current State: 29:[3, 5, 8], Operations: ['47-39=8'] Exploring Operation: 3*8=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 3*8=24 Current State: 29:[5, 24], Operations: ['47-39=8', '3*8=24'] Exploring Operation: 5+24=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[47, 39, 3, 5], Operations: [] Exploring Operation: 47-3=44, Resulting Numbers: [39, 5, 44] Generated Node #0,0: 29:[39, 5, 44] Operation: 47-3=44 Exploring Operation: 3*5=15, Resulting Numbers: [47, 39, 15] Generated Node #0,1: 29:[47, 39, 15] Operation: 3*5=15 Start Sub Search at level 1: Moving to Node #0,1 Current State: 29:[47, 39, 15], Operations: ['3*5=15'] Exploring Operation: 47-15=32, Resulting Numbers: [39, 32] Generated Node #0,1,0: 29:[39, 32] Operation: 47-15=32 Exploring Operation: 39-15=24, Resulting Numbers: [47, 24] Generated Node #0,1,1: 29:[47, 24] Operation: 39-15=24 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 29:[39, 32], Operations: ['3*5=15', '47-15=32'] Exploring Operation: 39-32=7, Resulting Numbers: [7] 7,29 unequal: No Solution Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 29:[47, 24], Operations: ['3*5=15', '39-15=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,29 unequal: No Solution Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,29 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[39, 5, 44], Operations: ['47-3=44'] Exploring Operation: 39-5=34, Resulting Numbers: [44, 34] Generated Node #0,0,0: 29:[44, 34] Operation: 39-5=34 Exploring Operation: 44-5=39, Resulting Numbers: [39, 39] Generated Node #0,0,1: 29:[39, 39] Operation: 44-5=39 Moving to Node #0,0,0 Current State: 29:[44, 34], Operations: ['47-3=44', '39-5=34'] Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 44+34=78, Resulting Numbers: [78] 78,29 unequal: No Solution Moving to Node #0,0,1 Current State: 29:[39, 39], Operations: ['47-3=44', '44-5=39'] Exploring Operation: 39/39=1, Resulting Numbers: [1] 1,29 unequal: No Solution Exploring Operation: 39-39=0, Resulting Numbers: [0] 0,29 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
[ 36, 13, 12, 3 ]
27
[ "36-13=23", "12/3=4", "23+4=27" ]
Current State: 27:[36, 13, 12, 3], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [12, 3, 23] Generated Node #2: [12, 3, 23] from Operation: 36-13=23 Current State: 27:[12, 3, 23], Operations: ['36-13=23'] Exploring Operation: 12/3=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 12/3=4 Current State: 27:[23, 4], Operations: ['36-13=23', '12/3=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[36, 13, 12, 3], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [13, 3, 3] Generated Node #0,0: 27:[13, 3, 3] Operation: 36/12=3 Exploring Operation: 36/3=12, Resulting Numbers: [13, 12, 12] Generated Node #0,1: 27:[13, 12, 12] Operation: 36/3=12 Exploring Operation: 36-12=24, Resulting Numbers: [13, 3, 24] Generated Node #0,2: 27:[13, 3, 24] Operation: 36-12=24 Exploring Operation: 36-13=23, Resulting Numbers: [12, 3, 23] Generated Node #0,3: 27:[12, 3, 23] Operation: 36-13=23 Moving to Node #0,0 Current State: 27:[13, 3, 3], Operations: ['36/12=3'] Exploring Operation: 3*3=9, Resulting Numbers: [13, 9] Generated Node #0,0,0: 27:[13, 9] Operation: 3*3=9 Exploring Operation: 3/3=1, Resulting Numbers: [13, 1] Generated Node #0,0,1: 27:[13, 1] Operation: 3/3=1 Exploring Operation: 13-3=10, Resulting Numbers: [3, 10] Generated Node #0,0,2: 27:[3, 10] Operation: 13-3=10 Exploring Operation: 13-3=10, Resulting Numbers: [3, 10] Generated Node #0,0,3: 27:[3, 10] Operation: 13-3=10 Moving to Node #0,3 Current State: 27:[12, 3, 23], Operations: ['36-13=23'] Exploring Operation: 12/3=4, Resulting Numbers: [23, 4] Generated Node #0,3,0: 27:[23, 4] Operation: 12/3=4 Exploring Operation: 23-12=11, Resulting Numbers: [3, 11] Generated Node #0,3,1: 27:[3, 11] Operation: 23-12=11 Exploring Operation: 12-3=9, Resulting Numbers: [23, 9] Generated Node #0,3,2: 27:[23, 9] Operation: 12-3=9 Exploring Operation: 3+23=26, Resulting Numbers: [12, 26] Generated Node #0,3,3: 27:[12, 26] Operation: 3+23=26 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 27:[3, 11], Operations: ['36-13=23', '23-12=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,27 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 27:[23, 9], Operations: ['36-13=23', '12-3=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,27 unequal: No Solution Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,27 unequal: No Solution Exploring Operation: 23*9=207, Resulting Numbers: [207] 207,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 27:[12, 26], Operations: ['36-13=23', '3+23=26'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,27 unequal: No Solution Exploring Operation: 12+26=38, Resulting Numbers: [38] 38,27 unequal: No Solution Exploring Operation: 12*26=312, Resulting Numbers: [312] 312,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 27:[23, 4], Operations: ['36-13=23', '12/3=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,27 unequal: No Solution Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,27 unequal: No Solution Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[36, 13, 12, 3], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [12, 3, 23] Generated Node #0,3: 27:[12, 3, 23] Operation: 36-13=23 Moving to Node #0,3 Current State: 27:[12, 3, 23], Operations: ['36-13=23'] Exploring Operation: 12/3=4, Resulting Numbers: [23, 4] Generated Node #0,3,0: 27:[23, 4] Operation: 12/3=4 Moving to Node #0,3,0 Current State: 27:[23, 4], Operations: ['36-13=23', '12/3=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.975694
hs_4
mult_heuristic
[ 50, 37, 70, 82 ]
63
[ "82-37=45", "70*45=3150", "3150/50=63" ]
Current State: 63:[50, 37, 70, 82], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [50, 70, 45] Generated Node #2: [50, 70, 45] from Operation: 82-37=45 Current State: 63:[50, 70, 45], Operations: ['82-37=45'] Exploring Operation: 70*45=3150, Resulting Numbers: [50, 3150] Generated Node #3: [50, 3150] from Operation: 70*45=3150 Current State: 63:[50, 3150], Operations: ['82-37=45', '70*45=3150'] Exploring Operation: 3150/50=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[50, 37, 70, 82], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [70, 82, 13] Generated Node #0,0: 63:[70, 82, 13] Operation: 50-37=13 Start Sub Search at level 1: Moving to Node #0,0 Current State: 63:[70, 82, 13], Operations: ['50-37=13'] Exploring Operation: 82-70=12, Resulting Numbers: [13, 12] Generated Node #0,0,0: 63:[13, 12] Operation: 82-70=12 Moving to Node #0,0,0 Current State: 63:[13, 12], Operations: ['50-37=13', '82-70=12'] Exploring Operation: 13-12=1, Resulting Numbers: [1] 1,63 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
[ 30, 84, 39, 10 ]
83
[ "84-30=54", "39-10=29", "54+29=83" ]
Current State: 83:[30, 84, 39, 10], Operations: [] Exploring Operation: 84-30=54, Resulting Numbers: [39, 10, 54] Generated Node #2: [39, 10, 54] from Operation: 84-30=54 Current State: 83:[39, 10, 54], Operations: ['84-30=54'] Exploring Operation: 39-10=29, Resulting Numbers: [54, 29] Generated Node #3: [54, 29] from Operation: 39-10=29 Current State: 83:[54, 29], Operations: ['84-30=54', '39-10=29'] Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[30, 84, 39, 10], Operations: [] Exploring Operation: 30+39=69, Resulting Numbers: [84, 10, 69] Generated Node #0,0: 83:[84, 10, 69] Operation: 30+39=69 Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[84, 10, 69], Operations: ['30+39=69'] Exploring Operation: 10+69=79, Resulting Numbers: [84, 79] Generated Node #0,0,0: 83:[84, 79] Operation: 10+69=79 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[84, 79], Operations: ['30+39=69', '10+69=79'] Exploring Operation: 84-79=5, Resulting Numbers: [5] 5,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 45, 24, 44, 87 ]
72
[ "45+87=132", "24*132=3168", "3168/44=72" ]
Current State: 72:[45, 24, 44, 87], Operations: [] Exploring Operation: 45+87=132, Resulting Numbers: [24, 44, 132] Generated Node #2: [24, 44, 132] from Operation: 45+87=132 Current State: 72:[24, 44, 132], Operations: ['45+87=132'] Exploring Operation: 24*132=3168, Resulting Numbers: [44, 3168] Generated Node #3: [44, 3168] from Operation: 24*132=3168 Current State: 72:[44, 3168], Operations: ['45+87=132', '24*132=3168'] Exploring Operation: 3168/44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[45, 24, 44, 87], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [24, 44, 42] Generated Node #0,0: 72:[24, 44, 42] Operation: 87-45=42 Exploring Operation: 45-44=1, Resulting Numbers: [24, 87, 1] Generated Node #0,1: 72:[24, 87, 1] Operation: 45-44=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[24, 44, 42], Operations: ['87-45=42'] Exploring Operation: 44-24=20, Resulting Numbers: [42, 20] Generated Node #0,0,0: 72:[42, 20] Operation: 44-24=20 Exploring Operation: 44-42=2, Resulting Numbers: [24, 2] Generated Node #0,0,1: 72:[24, 2] Operation: 44-42=2 Moving to Node #0,0,1 Current State: 72:[24, 2], Operations: ['87-45=42', '44-42=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,72 unequal: No Solution Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,72 unequal: No Solution Moving to Node #0,0,0 Current State: 72:[42, 20], Operations: ['87-45=42', '44-24=20'] Exploring Operation: 42+20=62, Resulting Numbers: [62] 62,72 unequal: No Solution Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,72 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:[24, 87, 1], Operations: ['45-44=1'] Exploring Operation: 87-24=63, Resulting Numbers: [1, 63] Generated Node #0,1,0: 72:[1, 63] Operation: 87-24=63 Exploring Operation: 87-1=86, Resulting Numbers: [24, 86] Generated Node #0,1,1: 72:[24, 86] Operation: 87-1=86 Moving to Node #0,1,0 Current State: 72:[1, 63], Operations: ['45-44=1', '87-24=63'] Exploring Operation: 1*63=63, Resulting Numbers: [63] 63,72 unequal: No Solution Exploring Operation: 1+63=64, Resulting Numbers: [64] 64,72 unequal: No Solution Moving to Node #0,1,1 Current State: 72:[24, 86], Operations: ['45-44=1', '87-1=86'] Exploring Operation: 86-24=62, Resulting Numbers: [62] 62,72 unequal: No Solution Exploring Operation: 24+86=110, Resulting Numbers: [110] 110,72 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
[ 86, 75, 64, 3 ]
97
[ "86-75=11", "3*11=33", "64+33=97" ]
Current State: 97:[86, 75, 64, 3], Operations: [] Exploring Operation: 86-75=11, Resulting Numbers: [64, 3, 11] Generated Node #2: [64, 3, 11] from Operation: 86-75=11 Current State: 97:[64, 3, 11], Operations: ['86-75=11'] Exploring Operation: 3*11=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 3*11=33 Current State: 97:[64, 33], Operations: ['86-75=11', '3*11=33'] Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[86, 75, 64, 3], Operations: [] Exploring Operation: 75+3=78, Resulting Numbers: [86, 64, 78] Generated Node #0,0: 97:[86, 64, 78] Operation: 75+3=78 Exploring Operation: 86+3=89, Resulting Numbers: [75, 64, 89] Generated Node #0,1: 97:[75, 64, 89] Operation: 86+3=89 Moving to Node #0,0 Current State: 97:[86, 64, 78], Operations: ['75+3=78'] Exploring Operation: 86+64=150, Resulting Numbers: [78, 150] Generated Node #0,0,0: 97:[78, 150] Operation: 86+64=150 Exploring Operation: 64+78=142, Resulting Numbers: [86, 142] Generated Node #0,0,1: 97:[86, 142] Operation: 64+78=142 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 97:[86, 142], Operations: ['75+3=78', '64+78=142'] Exploring Operation: 142-86=56, Resulting Numbers: [56] 56,97 unequal: No Solution Exploring Operation: 86+142=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 #0,0,0 Current State: 97:[78, 150], Operations: ['75+3=78', '86+64=150'] Exploring Operation: 78+150=228, Resulting Numbers: [228] 228,97 unequal: No Solution Exploring Operation: 150-78=72, Resulting Numbers: [72] 72,97 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:[75, 64, 89], Operations: ['86+3=89'] Exploring Operation: 64+89=153, Resulting Numbers: [75, 153] Generated Node #0,1,0: 97:[75, 153] Operation: 64+89=153 Exploring Operation: 75+64=139, Resulting Numbers: [89, 139] Generated Node #0,1,1: 97:[89, 139] Operation: 75+64=139 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 97:[89, 139], Operations: ['86+3=89', '75+64=139'] Exploring Operation: 139-89=50, Resulting Numbers: [50] 50,97 unequal: No Solution Exploring Operation: 89+139=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 #0,1,0 Current State: 97:[75, 153], Operations: ['86+3=89', '64+89=153'] Exploring Operation: 75+153=228, Resulting Numbers: [228] 228,97 unequal: No Solution Exploring Operation: 153-75=78, Resulting Numbers: [78] 78,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 4, 77, 78, 70 ]
45
[ "78-70=8", "4*8=32", "77-32=45" ]
Current State: 45:[4, 77, 78, 70], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [4, 77, 8] Generated Node #2: [4, 77, 8] from Operation: 78-70=8 Current State: 45:[4, 77, 8], Operations: ['78-70=8'] Exploring Operation: 4*8=32, Resulting Numbers: [77, 32] Generated Node #3: [77, 32] from Operation: 4*8=32 Current State: 45:[77, 32], Operations: ['78-70=8', '4*8=32'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[4, 77, 78, 70], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [4, 78, 7] Generated Node #0,0: 45:[4, 78, 7] Operation: 77-70=7 Exploring Operation: 78-77=1, Resulting Numbers: [4, 70, 1] Generated Node #0,1: 45:[4, 70, 1] Operation: 78-77=1 Exploring Operation: 78-70=8, Resulting Numbers: [4, 77, 8] Generated Node #0,2: 45:[4, 77, 8] Operation: 78-70=8 Start Sub Search at level 1: Moving to Node #0,1 Current State: 45:[4, 70, 1], Operations: ['78-77=1'] Exploring Operation: 4-1=3, Resulting Numbers: [70, 3] Generated Node #0,1,0: 45:[70, 3] Operation: 4-1=3 Exploring Operation: 70-4=66, Resulting Numbers: [1, 66] Generated Node #0,1,1: 45:[1, 66] Operation: 70-4=66 Exploring Operation: 4+1=5, Resulting Numbers: [70, 5] Generated Node #0,1,2: 45:[70, 5] Operation: 4+1=5 Moving to Node #0,1,1 Current State: 45:[1, 66], Operations: ['78-77=1', '70-4=66'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 1*66=66, Resulting Numbers: [66] 66,45 unequal: No Solution Exploring Operation: 66/1=66, Resulting Numbers: [66] 66,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[70, 3], Operations: ['78-77=1', '4-1=3'] Exploring Operation: 70*3=210, Resulting Numbers: [210] 210,45 unequal: No Solution Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,45 unequal: No Solution Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[70, 5], Operations: ['78-77=1', '4+1=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,45 unequal: No Solution Exploring Operation: 70-5=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 70+5=75, Resulting Numbers: [75] 75,45 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 #0,2 Current State: 45:[4, 77, 8], Operations: ['78-70=8'] Exploring Operation: 77-8=69, Resulting Numbers: [4, 69] Generated Node #0,2,0: 45:[4, 69] Operation: 77-8=69 Exploring Operation: 77-4=73, Resulting Numbers: [8, 73] Generated Node #0,2,1: 45:[8, 73] Operation: 77-4=73 Exploring Operation: 8-4=4, Resulting Numbers: [77, 4] Generated Node #0,2,2: 45:[77, 4] Operation: 8-4=4 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 45:[4, 69], Operations: ['78-70=8', '77-8=69'] Exploring Operation: 4*69=276, Resulting Numbers: [276] 276,45 unequal: No Solution Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,45 unequal: No Solution No 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: 45:[8, 73], Operations: ['78-70=8', '77-4=73'] Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 8*73=584, Resulting Numbers: [584] 584,45 unequal: No Solution Exploring Operation: 8+73=81, Resulting Numbers: [81] 81,45 unequal: No Solution No 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: 45:[77, 4], Operations: ['78-70=8', '8-4=4'] Exploring Operation: 77+4=81, Resulting Numbers: [81] 81,45 unequal: No Solution Exploring Operation: 77*4=308, Resulting Numbers: [308] 308,45 unequal: No Solution Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,45 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: 45:[4, 78, 7], Operations: ['77-70=7'] Exploring Operation: 78-7=71, Resulting Numbers: [4, 71] Generated Node #0,0,0: 45:[4, 71] Operation: 78-7=71 Exploring Operation: 7-4=3, Resulting Numbers: [78, 3] Generated Node #0,0,1: 45:[78, 3] Operation: 7-4=3 Exploring Operation: 78-4=74, Resulting Numbers: [7, 74] Generated Node #0,0,2: 45:[7, 74] Operation: 78-4=74 Moving to Node #0,0,0 Current State: 45:[4, 71], Operations: ['77-70=7', '78-7=71'] Exploring Operation: 4*71=284, Resulting Numbers: [284] 284,45 unequal: No Solution Exploring Operation: 4+71=75, Resulting Numbers: [75] 75,45 unequal: No Solution Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[7, 74], Operations: ['77-70=7', '78-4=74'] Exploring Operation: 7+74=81, Resulting Numbers: [81] 81,45 unequal: No Solution Exploring Operation: 7*74=518, Resulting Numbers: [518] 518,45 unequal: No Solution Exploring Operation: 74-7=67, Resulting Numbers: [67] 67,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[78, 3], Operations: ['77-70=7', '7-4=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,45 unequal: No Solution Exploring Operation: 78-3=75, Resulting Numbers: [75] 75,45 unequal: No Solution Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,45 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
[ 23, 69, 59, 94 ]
38
[ "69/23=3", "94-59=35", "3+35=38" ]
Current State: 38:[23, 69, 59, 94], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [59, 94, 3] Generated Node #2: [59, 94, 3] from Operation: 69/23=3 Current State: 38:[59, 94, 3], Operations: ['69/23=3'] Exploring Operation: 94-59=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 94-59=35 Current State: 38:[3, 35], Operations: ['69/23=3', '94-59=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[23, 69, 59, 94], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [23, 59, 25] Generated Node #0,0: 38:[23, 59, 25] Operation: 94-69=25 Exploring Operation: 94-59=35, Resulting Numbers: [23, 69, 35] Generated Node #0,1: 38:[23, 69, 35] Operation: 94-59=35 Moving to Node #0,0 Current State: 38:[23, 59, 25], Operations: ['94-69=25'] Exploring Operation: 59-25=34, Resulting Numbers: [23, 34] Generated Node #0,0,0: 38:[23, 34] Operation: 59-25=34 Exploring Operation: 59-23=36, Resulting Numbers: [25, 36] Generated Node #0,0,1: 38:[25, 36] Operation: 59-23=36 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 38:[23, 34], Operations: ['94-69=25', '59-25=34'] Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 23+34=57, Resulting Numbers: [57] 57,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 38:[25, 36], Operations: ['94-69=25', '59-23=36'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,38 unequal: No Solution Exploring Operation: 25+36=61, Resulting Numbers: [61] 61,38 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 38:[23, 69, 35], Operations: ['94-59=35'] Exploring Operation: 69-35=34, Resulting Numbers: [23, 34] Generated Node #0,1,0: 38:[23, 34] Operation: 69-35=34 Exploring Operation: 69/23=3, Resulting Numbers: [35, 3] Generated Node #0,1,1: 38:[35, 3] Operation: 69/23=3 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 38:[35, 3], Operations: ['94-59=35', '69/23=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[23, 69, 59, 94], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [23, 69, 35] Generated Node #0,1: 38:[23, 69, 35] Operation: 94-59=35 Moving to Node #0,1 Current State: 38:[23, 69, 35], Operations: ['94-59=35'] Exploring Operation: 69/23=3, Resulting Numbers: [35, 3] Generated Node #0,1,1: 38:[35, 3] Operation: 69/23=3 Moving to Node #0,1,1 Current State: 38:[35, 3], Operations: ['94-59=35', '69/23=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
sum_heuristic
[ 51, 39, 2, 6 ]
64
[ "39*2=78", "78/6=13", "51+13=64" ]
Current State: 64:[51, 39, 2, 6], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [51, 6, 78] Generated Node #2: [51, 6, 78] from Operation: 39*2=78 Current State: 64:[51, 6, 78], Operations: ['39*2=78'] Exploring Operation: 78/6=13, Resulting Numbers: [51, 13] Generated Node #3: [51, 13] from Operation: 78/6=13 Current State: 64:[51, 13], Operations: ['39*2=78', '78/6=13'] Exploring Operation: 51+13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[51, 39, 2, 6], Operations: [] Exploring Operation: 39-6=33, Resulting Numbers: [51, 2, 33] Generated Node #0,0: 64:[51, 2, 33] Operation: 39-6=33 Exploring Operation: 51+6=57, Resulting Numbers: [39, 2, 57] Generated Node #0,1: 64:[39, 2, 57] Operation: 51+6=57 Exploring Operation: 51+2=53, Resulting Numbers: [39, 6, 53] Generated Node #0,2: 64:[39, 6, 53] Operation: 51+2=53 Exploring Operation: 51-39=12, Resulting Numbers: [2, 6, 12] Generated Node #0,3: 64:[2, 6, 12] Operation: 51-39=12 Exploring Operation: 51-6=45, Resulting Numbers: [39, 2, 45] Generated Node #0,4: 64:[39, 2, 45] Operation: 51-6=45 Moving to Node #0,3 Current State: 64:[2, 6, 12], Operations: ['51-39=12'] Exploring Operation: 2+6=8, Resulting Numbers: [12, 8] Generated Node #0,3,0: 64:[12, 8] Operation: 2+6=8 Exploring Operation: 12-6=6, Resulting Numbers: [2, 6] Generated Node #0,3,1: 64:[2, 6] Operation: 12-6=6 Exploring Operation: 12/6=2, Resulting Numbers: [2, 2] Generated Node #0,3,2: 64:[2, 2] Operation: 12/6=2 Exploring Operation: 6-2=4, Resulting Numbers: [12, 4] Generated Node #0,3,3: 64:[12, 4] Operation: 6-2=4 Exploring Operation: 6+12=18, Resulting Numbers: [2, 18] Generated Node #0,3,4: 64:[2, 18] Operation: 6+12=18 Moving to Node #0,1 Current State: 64:[39, 2, 57], Operations: ['51+6=57'] Exploring Operation: 39-2=37, Resulting Numbers: [57, 37] Generated Node #0,1,0: 64:[57, 37] Operation: 39-2=37 Exploring Operation: 2+57=59, Resulting Numbers: [39, 59] Generated Node #0,1,1: 64:[39, 59] Operation: 2+57=59 Exploring Operation: 57-2=55, Resulting Numbers: [39, 55] Generated Node #0,1,2: 64:[39, 55] Operation: 57-2=55 Exploring Operation: 39+2=41, Resulting Numbers: [57, 41] Generated Node #0,1,3: 64:[57, 41] Operation: 39+2=41 Exploring Operation: 57-39=18, Resulting Numbers: [2, 18] Generated Node #0,1,4: 64:[2, 18] Operation: 57-39=18 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 64:[2, 18], Operations: ['51+6=57', '57-39=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,64 unequal: No Solution Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,64 unequal: No Solution Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[57, 37], Operations: ['51+6=57', '39-2=37'] Exploring Operation: 57+37=94, Resulting Numbers: [94] 94,64 unequal: No Solution Exploring Operation: 57*37=2109, Resulting Numbers: [2109] 2109,64 unequal: No Solution Exploring Operation: 57-37=20, Resulting Numbers: [20] 20,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 64:[39, 59], Operations: ['51+6=57', '2+57=59'] Exploring Operation: 39+59=98, Resulting Numbers: [98] 98,64 unequal: No Solution Exploring Operation: 59-39=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 39*59=2301, Resulting Numbers: [2301] 2301,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 64:[39, 55], Operations: ['51+6=57', '57-2=55'] Exploring Operation: 55-39=16, Resulting Numbers: [16] 16,64 unequal: No Solution Exploring Operation: 39*55=2145, Resulting Numbers: [2145] 2145,64 unequal: No Solution Exploring Operation: 39+55=94, Resulting Numbers: [94] 94,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 64:[57, 41], Operations: ['51+6=57', '39+2=41'] Exploring Operation: 57*41=2337, Resulting Numbers: [2337] 2337,64 unequal: No Solution Exploring Operation: 57-41=16, Resulting Numbers: [16] 16,64 unequal: No Solution Exploring Operation: 57+41=98, Resulting Numbers: [98] 98,64 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: 64:[51, 2, 33], Operations: ['39-6=33'] Exploring Operation: 33-2=31, Resulting Numbers: [51, 31] Generated Node #0,0,0: 64:[51, 31] Operation: 33-2=31 Exploring Operation: 51+2=53, Resulting Numbers: [33, 53] Generated Node #0,0,1: 64:[33, 53] Operation: 51+2=53 Exploring Operation: 51-33=18, Resulting Numbers: [2, 18] Generated Node #0,0,2: 64:[2, 18] Operation: 51-33=18 Exploring Operation: 2*33=66, Resulting Numbers: [51, 66] Generated Node #0,0,3: 64:[51, 66] Operation: 2*33=66 Exploring Operation: 51-2=49, Resulting Numbers: [33, 49] Generated Node #0,0,4: 64:[33, 49] Operation: 51-2=49 Moving to Node #0,2 Current State: 64:[39, 6, 53], Operations: ['51+2=53'] Exploring Operation: 6+53=59, Resulting Numbers: [39, 59] Generated Node #0,2,0: 64:[39, 59] Operation: 6+53=59 Exploring Operation: 53-39=14, Resulting Numbers: [6, 14] Generated Node #0,2,1: 64:[6, 14] Operation: 53-39=14 Exploring Operation: 39-6=33, Resulting Numbers: [53, 33] Generated Node #0,2,2: 64:[53, 33] Operation: 39-6=33 Exploring Operation: 39+6=45, Resulting Numbers: [53, 45] Generated Node #0,2,3: 64:[53, 45] Operation: 39+6=45 Exploring Operation: 53-6=47, Resulting Numbers: [39, 47] Generated Node #0,2,4: 64:[39, 47] Operation: 53-6=47 Moving to Node #0,4 Current State: 64:[39, 2, 45], Operations: ['51-6=45'] Exploring Operation: 39+45=84, Resulting Numbers: [2, 84] Generated Node #0,4,0: 64:[2, 84] Operation: 39+45=84 Exploring Operation: 39+2=41, Resulting Numbers: [45, 41] Generated Node #0,4,1: 64:[45, 41] Operation: 39+2=41 Exploring Operation: 45-2=43, Resulting Numbers: [39, 43] Generated Node #0,4,2: 64:[39, 43] Operation: 45-2=43 Exploring Operation: 39-2=37, Resulting Numbers: [45, 37] Generated Node #0,4,3: 64:[45, 37] Operation: 39-2=37 Exploring Operation: 45-39=6, Resulting Numbers: [2, 6] Generated Node #0,4,4: 64:[2, 6] Operation: 45-39=6 Moving to Node #0,3,2 Current State: 64:[2, 2], Operations: ['51-39=12', '12/6=2'] Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 2-2=0, Resulting Numbers: [0] 0,64 unequal: No Solution Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,64 unequal: No Solution Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,64 unequal: No Solution Moving to Node #0,3,4 Current State: 64:[2, 18], Operations: ['51-39=12', '6+12=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,64 unequal: No Solution Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,64 unequal: No Solution Moving to Node #0,0,2 Current State: 64:[2, 18], Operations: ['39-6=33', '51-33=18'] Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,64 unequal: No Solution Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,64 unequal: No Solution Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,64 unequal: No Solution Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,64 unequal: No Solution Moving to Node #0,3,1 Current State: 64:[2, 6], Operations: ['51-39=12', '12-6=6'] Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,64 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,64 unequal: No Solution Moving to Node #0,4,4 Current State: 64:[2, 6], Operations: ['51-6=45', '45-39=6'] Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,64 unequal: No Solution Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,64 unequal: No Solution Moving to Node #0,3,3 Current State: 64:[12, 4], Operations: ['51-39=12', '6-2=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,64 unequal: No Solution Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,64 unequal: No Solution Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,64 unequal: No Solution Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,64 unequal: No Solution Moving to Node #0,2,1 Current State: 64:[6, 14], Operations: ['51+2=53', '53-39=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,64 unequal: No Solution Exploring Operation: 6+14=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 14-6=8, Resulting Numbers: [8] 8,64 unequal: No Solution Moving to Node #0,3,0 Current State: 64:[12, 8], Operations: ['51-39=12', '2+6=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,64 unequal: No Solution Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,64 unequal: No Solution Moving to Node #0,0,1 Current State: 64:[33, 53], Operations: ['39-6=33', '51+2=53'] Exploring Operation: 33+53=86, Resulting Numbers: [86] 86,64 unequal: No Solution Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 33*53=1749, Resulting Numbers: [1749] 1749,64 unequal: No Solution Moving to Node #0,2,2 Current State: 64:[53, 33], Operations: ['51+2=53', '39-6=33'] Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 53*33=1749, Resulting Numbers: [1749] 1749,64 unequal: No Solution Exploring Operation: 53+33=86, Resulting Numbers: [86] 86,64 unequal: No Solution Moving to Node #0,2,0 Current State: 64:[39, 59], Operations: ['51+2=53', '6+53=59'] Exploring Operation: 39*59=2301, Resulting Numbers: [2301] 2301,64 unequal: No Solution Exploring Operation: 39+59=98, Resulting Numbers: [98] 98,64 unequal: No Solution Exploring Operation: 59-39=20, Resulting Numbers: [20] 20,64 unequal: No Solution Moving to Node #0,0,0 Current State: 64:[51, 31], Operations: ['39-6=33', '33-2=31'] Exploring Operation: 51+31=82, Resulting Numbers: [82] 82,64 unequal: No Solution Exploring Operation: 51*31=1581, Resulting Numbers: [1581] 1581,64 unequal: No Solution Exploring Operation: 51-31=20, Resulting Numbers: [20] 20,64 unequal: No Solution Moving to Node #0,0,3 Current State: 64:[51, 66], Operations: ['39-6=33', '2*33=66'] Exploring Operation: 66-51=15, Resulting Numbers: [15] 15,64 unequal: No Solution Exploring Operation: 51+66=117, Resulting Numbers: [117] 117,64 unequal: No Solution Exploring Operation: 51*66=3366, Resulting Numbers: [3366] 3366,64 unequal: No Solution Moving to Node #0,0,4 Current State: 64:[33, 49], Operations: ['39-6=33', '51-2=49'] Exploring Operation: 33+49=82, Resulting Numbers: [82] 82,64 unequal: No Solution Exploring Operation: 33*49=1617, Resulting Numbers: [1617] 1617,64 unequal: No Solution Exploring Operation: 49-33=16, Resulting Numbers: [16] 16,64 unequal: No Solution Moving to Node #0,4,2 Current State: 64:[39, 43], Operations: ['51-6=45', '45-2=43'] Exploring Operation: 43-39=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 39+43=82, Resulting Numbers: [82] 82,64 unequal: No Solution Exploring Operation: 39*43=1677, Resulting Numbers: [1677] 1677,64 unequal: No Solution Moving to Node #0,4,3 Current State: 64:[45, 37], Operations: ['51-6=45', '39-2=37'] Exploring Operation: 45-37=8, Resulting Numbers: [8] 8,64 unequal: No Solution Exploring Operation: 45+37=82, Resulting Numbers: [82] 82,64 unequal: No Solution Exploring Operation: 45*37=1665, Resulting Numbers: [1665] 1665,64 unequal: No Solution Moving to Node #0,4,0 Current State: 64:[2, 84], Operations: ['51-6=45', '39+45=84'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,64 unequal: No Solution Exploring Operation: 2*84=168, Resulting Numbers: [168] 168,64 unequal: No Solution Exploring Operation: 2+84=86, Resulting Numbers: [86] 86,64 unequal: No Solution Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,64 unequal: No Solution Moving to Node #0,4,1 Current State: 64:[45, 41], Operations: ['51-6=45', '39+2=41'] Exploring Operation: 45+41=86, Resulting Numbers: [86] 86,64 unequal: No Solution Exploring Operation: 45-41=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 45*41=1845, Resulting Numbers: [1845] 1845,64 unequal: No Solution Moving to Node #0,2,4 Current State: 64:[39, 47], Operations: ['51+2=53', '53-6=47'] Exploring Operation: 39+47=86, Resulting Numbers: [86] 86,64 unequal: No Solution Exploring Operation: 39*47=1833, Resulting Numbers: [1833] 1833,64 unequal: No Solution Exploring Operation: 47-39=8, Resulting Numbers: [8] 8,64 unequal: No Solution Moving to Node #0,2,3 Current State: 64:[53, 45], Operations: ['51+2=53', '39+6=45'] Exploring Operation: 53+45=98, Resulting Numbers: [98] 98,64 unequal: No Solution Exploring Operation: 53*45=2385, Resulting Numbers: [2385] 2385,64 unequal: No Solution Exploring Operation: 53-45=8, Resulting Numbers: [8] 8,64 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 26, 70, 54, 62 ]
88
[ "26+70=96", "62-54=8", "96-8=88" ]
Current State: 88:[26, 70, 54, 62], Operations: [] Exploring Operation: 26+70=96, Resulting Numbers: [54, 62, 96] Generated Node #2: [54, 62, 96] from Operation: 26+70=96 Current State: 88:[54, 62, 96], Operations: ['26+70=96'] Exploring Operation: 62-54=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 62-54=8 Current State: 88:[96, 8], Operations: ['26+70=96', '62-54=8'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[26, 70, 54, 62], Operations: [] Exploring Operation: 62-54=8, Resulting Numbers: [26, 70, 8] Generated Node #0,0: 88:[26, 70, 8] Operation: 62-54=8 Exploring Operation: 70-62=8, Resulting Numbers: [26, 54, 8] Generated Node #0,1: 88:[26, 54, 8] Operation: 70-62=8 Exploring Operation: 70-26=44, Resulting Numbers: [54, 62, 44] Generated Node #0,2: 88:[54, 62, 44] Operation: 70-26=44 Exploring Operation: 26+62=88, Resulting Numbers: [70, 54, 88] Generated Node #0,3: 88:[70, 54, 88] Operation: 26+62=88 Exploring Operation: 70-54=16, Resulting Numbers: [26, 62, 16] Generated Node #0,4: 88:[26, 62, 16] Operation: 70-54=16 Start Sub Search at level 1: Moving to Node #0,1 Current State: 88:[26, 54, 8], Operations: ['70-62=8'] Exploring Operation: 26+8=34, Resulting Numbers: [54, 34] Generated Node #0,1,0: 88:[54, 34] Operation: 26+8=34 Exploring Operation: 26+54=80, Resulting Numbers: [8, 80] Generated Node #0,1,1: 88:[8, 80] Operation: 26+54=80 Exploring Operation: 54-26=28, Resulting Numbers: [8, 28] Generated Node #0,1,2: 88:[8, 28] Operation: 54-26=28 Exploring Operation: 26-8=18, Resulting Numbers: [54, 18] Generated Node #0,1,3: 88:[54, 18] Operation: 26-8=18 Exploring Operation: 54-8=46, Resulting Numbers: [26, 46] Generated Node #0,1,4: 88:[26, 46] Operation: 54-8=46 Moving to Node #0,1,2 Current State: 88:[8, 28], Operations: ['70-62=8', '54-26=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,88 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,88 unequal: No Solution Exploring Operation: 8*28=224, Resulting Numbers: [224] 224,88 unequal: No Solution Moving to Node #0,1,4 Current State: 88:[26, 46], Operations: ['70-62=8', '54-8=46'] Exploring Operation: 26*46=1196, Resulting Numbers: [1196] 1196,88 unequal: No Solution Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,88 unequal: No Solution Exploring Operation: 26+46=72, Resulting Numbers: [72] 72,88 unequal: No Solution Moving to Node #0,1,1 Current State: 88:[8, 80], Operations: ['70-62=8', '26+54=80'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,88 unequal: No Solution Exploring Operation: 8+80=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[26, 70, 54, 62], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [26, 54, 8] Generated Node #0,1: 88:[26, 54, 8] Operation: 70-62=8 Moving to Node #0,1 Current State: 88:[26, 54, 8], Operations: ['70-62=8'] Exploring Operation: 26+54=80, Resulting Numbers: [8, 80] Generated Node #0,1,1: 88:[8, 80] Operation: 26+54=80 Moving to Node #0,1,1 Current State: 88:[8, 80], Operations: ['70-62=8', '26+54=80'] Exploring Operation: 8+80=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_5
sum_heuristic
[ 40, 58, 61, 26 ]
17
[ "58-40=18", "61-26=35", "35-18=17" ]
Current State: 17:[40, 58, 61, 26], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [61, 26, 18] Generated Node #2: [61, 26, 18] from Operation: 58-40=18 Current State: 17:[61, 26, 18], Operations: ['58-40=18'] Exploring Operation: 61-26=35, Resulting Numbers: [18, 35] Generated Node #3: [18, 35] from Operation: 61-26=35 Current State: 17:[18, 35], Operations: ['58-40=18', '61-26=35'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[40, 58, 61, 26], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [58, 26, 21] Generated Node #0,0: 17:[58, 26, 21] Operation: 61-40=21 Exploring Operation: 61-26=35, Resulting Numbers: [40, 58, 35] Generated Node #0,1: 17:[40, 58, 35] Operation: 61-26=35 Exploring Operation: 61-58=3, Resulting Numbers: [40, 26, 3] Generated Node #0,2: 17:[40, 26, 3] Operation: 61-58=3 Exploring Operation: 58-26=32, Resulting Numbers: [40, 61, 32] Generated Node #0,3: 17:[40, 61, 32] Operation: 58-26=32 Exploring Operation: 58-40=18, Resulting Numbers: [61, 26, 18] Generated Node #0,4: 17:[61, 26, 18] Operation: 58-40=18 Start Sub Search at level 1: Moving to Node #0,2 Current State: 17:[40, 26, 3], Operations: ['61-58=3'] Exploring Operation: 40-26=14, Resulting Numbers: [3, 14] Generated Node #0,2,0: 17:[3, 14] Operation: 40-26=14 Exploring Operation: 26+3=29, Resulting Numbers: [40, 29] Generated Node #0,2,1: 17:[40, 29] Operation: 26+3=29 Exploring Operation: 26-3=23, Resulting Numbers: [40, 23] Generated Node #0,2,2: 17:[40, 23] Operation: 26-3=23 Exploring Operation: 40+3=43, Resulting Numbers: [26, 43] Generated Node #0,2,3: 17:[26, 43] Operation: 40+3=43 Exploring Operation: 40-3=37, Resulting Numbers: [26, 37] Generated Node #0,2,4: 17:[26, 37] Operation: 40-3=37 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 17:[3, 14], Operations: ['61-58=3', '40-26=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,17 unequal: No Solution Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,17 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[40, 58, 61, 26], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [40, 26, 3] Generated Node #0,2: 17:[40, 26, 3] Operation: 61-58=3 Moving to Node #0,2 Current State: 17:[40, 26, 3], Operations: ['61-58=3'] Exploring Operation: 40-26=14, Resulting Numbers: [3, 14] Generated Node #0,2,0: 17:[3, 14] Operation: 40-26=14 Moving to Node #0,2,0 Current State: 17:[3, 14], Operations: ['61-58=3', '40-26=14'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 23, 99, 95, 57 ]
30
[ "23+99=122", "95+57=152", "152-122=30" ]
Current State: 30:[23, 99, 95, 57], Operations: [] Exploring Operation: 23+99=122, Resulting Numbers: [95, 57, 122] Generated Node #2: [95, 57, 122] from Operation: 23+99=122 Current State: 30:[95, 57, 122], Operations: ['23+99=122'] Exploring Operation: 95+57=152, Resulting Numbers: [122, 152] Generated Node #3: [122, 152] from Operation: 95+57=152 Current State: 30:[122, 152], Operations: ['23+99=122', '95+57=152'] Exploring Operation: 152-122=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[23, 99, 95, 57], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [23, 57, 4] Generated Node #0,0: 30:[23, 57, 4] Operation: 99-95=4 Moving to Node #0,0 Current State: 30:[23, 57, 4], Operations: ['99-95=4'] Exploring Operation: 57-23=34, Resulting Numbers: [4, 34] Generated Node #0,0,0: 30:[4, 34] Operation: 57-23=34 Moving to Node #0,0,0 Current State: 30:[4, 34], Operations: ['99-95=4', '57-23=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[23, 99, 95, 57], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [23, 57, 4] Generated Node #0,0: 30:[23, 57, 4] Operation: 99-95=4 Moving to Node #0,0 Current State: 30:[23, 57, 4], Operations: ['99-95=4'] Exploring Operation: 57-23=34, Resulting Numbers: [4, 34] Generated Node #0,0,0: 30:[4, 34] Operation: 57-23=34 Moving to Node #0,0,0 Current State: 30:[4, 34], Operations: ['99-95=4', '57-23=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 49, 74, 85, 3 ]
63
[ "74-49=25", "85+3=88", "88-25=63" ]
Current State: 63:[49, 74, 85, 3], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [85, 3, 25] Generated Node #2: [85, 3, 25] from Operation: 74-49=25 Current State: 63:[85, 3, 25], Operations: ['74-49=25'] Exploring Operation: 85+3=88, Resulting Numbers: [25, 88] Generated Node #3: [25, 88] from Operation: 85+3=88 Current State: 63:[25, 88], Operations: ['74-49=25', '85+3=88'] Exploring Operation: 88-25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[49, 74, 85, 3], Operations: [] Exploring Operation: 85-49=36, Resulting Numbers: [74, 3, 36] Generated Node #0,0: 63:[74, 3, 36] Operation: 85-49=36 Exploring Operation: 74-49=25, Resulting Numbers: [85, 3, 25] Generated Node #0,1: 63:[85, 3, 25] Operation: 74-49=25 Exploring Operation: 85-74=11, Resulting Numbers: [49, 3, 11] Generated Node #0,2: 63:[49, 3, 11] Operation: 85-74=11 Start Sub Search at level 1: Moving to Node #0,2 Current State: 63:[49, 3, 11], Operations: ['85-74=11'] Exploring Operation: 11-3=8, Resulting Numbers: [49, 8] Generated Node #0,2,0: 63:[49, 8] Operation: 11-3=8 Exploring Operation: 49+11=60, Resulting Numbers: [3, 60] Generated Node #0,2,1: 63:[3, 60] Operation: 49+11=60 Exploring Operation: 49+3=52, Resulting Numbers: [11, 52] Generated Node #0,2,2: 63:[11, 52] Operation: 49+3=52 Moving to Node #0,2,1 Current State: 63:[3, 60], Operations: ['85-74=11', '49+11=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,63 unequal: No Solution Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,63 unequal: No Solution Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Moving to Node #0 Current State: 63:[49, 74, 85, 3], Operations: [] Exploring Operation: 85-74=11, Resulting Numbers: [49, 3, 11] Generated Node #0,2: 63:[49, 3, 11] Operation: 85-74=11 Moving to Node #0,2 Current State: 63:[49, 3, 11], Operations: ['85-74=11'] Exploring Operation: 49+11=60, Resulting Numbers: [3, 60] Generated Node #0,2,1: 63:[3, 60] Operation: 49+11=60 Moving to Node #0,2,1 Current State: 63:[3, 60], Operations: ['85-74=11', '49+11=60'] Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 32, 73, 16, 83 ]
63
[ "32*73=2336", "2336/16=146", "146-83=63" ]
Current State: 63:[32, 73, 16, 83], Operations: [] Exploring Operation: 32*73=2336, Resulting Numbers: [16, 83, 2336] Generated Node #2: [16, 83, 2336] from Operation: 32*73=2336 Current State: 63:[16, 83, 2336], Operations: ['32*73=2336'] Exploring Operation: 2336/16=146, Resulting Numbers: [83, 146] Generated Node #3: [83, 146] from Operation: 2336/16=146 Current State: 63:[83, 146], Operations: ['32*73=2336', '2336/16=146'] Exploring Operation: 146-83=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[32, 73, 16, 83], Operations: [] Exploring Operation: 83-73=10, Resulting Numbers: [32, 16, 10] Generated Node #0,0: 63:[32, 16, 10] Operation: 83-73=10 Exploring Operation: 83-16=67, Resulting Numbers: [32, 73, 67] Generated Node #0,1: 63:[32, 73, 67] Operation: 83-16=67 Moving to Node #0,0 Current State: 63:[32, 16, 10], Operations: ['83-73=10'] Exploring Operation: 32/16=2, Resulting Numbers: [10, 2] Generated Node #0,0,0: 63:[10, 2] Operation: 32/16=2 Exploring Operation: 32-16=16, Resulting Numbers: [10, 16] Generated Node #0,0,1: 63:[10, 16] Operation: 32-16=16 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 63:[10, 2], Operations: ['83-73=10', '32/16=2'] Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,63 unequal: No Solution Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 63:[10, 16], Operations: ['83-73=10', '32-16=16'] Exploring Operation: 16-10=6, Resulting Numbers: [6] 6,63 unequal: No Solution Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 63:[32, 73, 67], Operations: ['83-16=67'] Exploring Operation: 73-32=41, Resulting Numbers: [67, 41] Generated Node #0,1,0: 63:[67, 41] Operation: 73-32=41 Exploring Operation: 73-67=6, Resulting Numbers: [32, 6] Generated Node #0,1,1: 63:[32, 6] Operation: 73-67=6 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 63:[32, 6], Operations: ['83-16=67', '73-67=6'] Exploring Operation: 32+6=38, Resulting Numbers: [38] 38,63 unequal: No Solution Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 63:[67, 41], Operations: ['83-16=67', '73-32=41'] Exploring Operation: 67-41=26, Resulting Numbers: [26] 26,63 unequal: No Solution Exploring Operation: 67+41=108, Resulting Numbers: [108] 108,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 60, 74, 18, 16 ]
64
[ "74-60=14", "18-14=4", "16*4=64" ]
Current State: 64:[60, 74, 18, 16], Operations: [] Exploring Operation: 74-60=14, Resulting Numbers: [18, 16, 14] Generated Node #2: [18, 16, 14] from Operation: 74-60=14 Current State: 64:[18, 16, 14], Operations: ['74-60=14'] Exploring Operation: 18-14=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 18-14=4 Current State: 64:[16, 4], Operations: ['74-60=14', '18-14=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[60, 74, 18, 16], Operations: [] Exploring Operation: 74-60=14, Resulting Numbers: [18, 16, 14] Generated Node #0,0: 64:[18, 16, 14] Operation: 74-60=14 Exploring Operation: 74-18=56, Resulting Numbers: [60, 16, 56] Generated Node #0,1: 64:[60, 16, 56] Operation: 74-18=56 Exploring Operation: 74-16=58, Resulting Numbers: [60, 18, 58] Generated Node #0,2: 64:[60, 18, 58] Operation: 74-16=58 Moving to Node #0,0 Current State: 64:[18, 16, 14], Operations: ['74-60=14'] Exploring Operation: 18+14=32, Resulting Numbers: [16, 32] Generated Node #0,0,0: 64:[16, 32] Operation: 18+14=32 Exploring Operation: 18-14=4, Resulting Numbers: [16, 4] Generated Node #0,0,1: 64:[16, 4] Operation: 18-14=4 Exploring Operation: 18-16=2, Resulting Numbers: [14, 2] Generated Node #0,0,2: 64:[14, 2] Operation: 18-16=2 Moving to Node #0,1 Current State: 64:[60, 16, 56], Operations: ['74-18=56'] Exploring Operation: 60-56=4, Resulting Numbers: [16, 4] Generated Node #0,1,0: 64:[16, 4] Operation: 60-56=4 Exploring Operation: 16+56=72, Resulting Numbers: [60, 72] Generated Node #0,1,1: 64:[60, 72] Operation: 16+56=72 Exploring Operation: 56-16=40, Resulting Numbers: [60, 40] Generated Node #0,1,2: 64:[60, 40] Operation: 56-16=40 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[16, 4], Operations: ['74-18=56', '60-56=4'] Exploring Operation: 16+4=20, Resulting Numbers: [20] 20,64 unequal: No Solution Exploring Operation: 16/4=4, Resulting Numbers: [4] 4,64 unequal: No Solution Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[60, 74, 18, 16], Operations: [] Exploring Operation: 74-18=56, Resulting Numbers: [60, 16, 56] Generated Node #0,1: 64:[60, 16, 56] Operation: 74-18=56 Moving to Node #0,1 Current State: 64:[60, 16, 56], Operations: ['74-18=56'] Exploring Operation: 60-56=4, Resulting Numbers: [16, 4] Generated Node #0,1,0: 64:[16, 4] Operation: 60-56=4 Moving to Node #0,1,0 Current State: 64:[16, 4], Operations: ['74-18=56', '60-56=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_3
sum_heuristic
[ 6, 62, 31, 98 ]
90
[ "98-6=92", "62/31=2", "92-2=90" ]
Current State: 90:[6, 62, 31, 98], Operations: [] Exploring Operation: 98-6=92, Resulting Numbers: [62, 31, 92] Generated Node #2: [62, 31, 92] from Operation: 98-6=92 Current State: 90:[62, 31, 92], Operations: ['98-6=92'] Exploring Operation: 62/31=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 62/31=2 Current State: 90:[92, 2], Operations: ['98-6=92', '62/31=2'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[6, 62, 31, 98], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [6, 98, 2] Generated Node #0,0: 90:[6, 98, 2] Operation: 62/31=2 Exploring Operation: 98-62=36, Resulting Numbers: [6, 31, 36] Generated Node #0,1: 90:[6, 31, 36] Operation: 98-62=36 Moving to Node #0,1 Current State: 90:[6, 31, 36], Operations: ['98-62=36'] Exploring Operation: 36-31=5, Resulting Numbers: [6, 5] Generated Node #0,1,0: 90:[6, 5] Operation: 36-31=5 Exploring Operation: 36-6=30, Resulting Numbers: [31, 30] Generated Node #0,1,1: 90:[31, 30] Operation: 36-6=30 Moving to Node #0,0 Current State: 90:[6, 98, 2], Operations: ['62/31=2'] Exploring Operation: 98-6=92, Resulting Numbers: [2, 92] Generated Node #0,0,0: 90:[2, 92] Operation: 98-6=92 Exploring Operation: 98/2=49, Resulting Numbers: [6, 49] Generated Node #0,0,1: 90:[6, 49] Operation: 98/2=49 Moving to Node #0,1,0 Current State: 90:[6, 5], Operations: ['98-62=36', '36-31=5'] Exploring Operation: 6+5=11, Resulting Numbers: [11] 11,90 unequal: No Solution Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,90 unequal: No Solution Moving to Node #0,1,1 Current State: 90:[31, 30], Operations: ['98-62=36', '36-6=30'] Exploring Operation: 31+30=61, Resulting Numbers: [61] 61,90 unequal: No Solution Exploring Operation: 31-30=1, Resulting Numbers: [1] 1,90 unequal: No Solution Moving to Node #0,0,0 Current State: 90:[2, 92], Operations: ['62/31=2', '98-6=92'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[6, 62, 31, 98], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [6, 98, 2] Generated Node #0,0: 90:[6, 98, 2] Operation: 62/31=2 Moving to Node #0,0 Current State: 90:[6, 98, 2], Operations: ['62/31=2'] Exploring Operation: 98-6=92, Resulting Numbers: [2, 92] Generated Node #0,0,0: 90:[2, 92] Operation: 98-6=92 Moving to Node #0,0,0 Current State: 90:[2, 92], Operations: ['62/31=2', '98-6=92'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
0.986979
hs_2
mult_heuristic
[ 20, 56, 69, 23 ]
92
[ "20*69=1380", "56*23=1288", "1380-1288=92" ]
Current State: 92:[20, 56, 69, 23], Operations: [] Exploring Operation: 20*69=1380, Resulting Numbers: [56, 23, 1380] Generated Node #2: [56, 23, 1380] from Operation: 20*69=1380 Current State: 92:[56, 23, 1380], Operations: ['20*69=1380'] Exploring Operation: 56*23=1288, Resulting Numbers: [1380, 1288] Generated Node #3: [1380, 1288] from Operation: 56*23=1288 Current State: 92:[1380, 1288], Operations: ['20*69=1380', '56*23=1288'] Exploring Operation: 1380-1288=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[20, 56, 69, 23], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [56, 23, 49] Generated Node #0,0: 92:[56, 23, 49] Operation: 69-20=49 Exploring Operation: 20+69=89, Resulting Numbers: [56, 23, 89] Generated Node #0,1: 92:[56, 23, 89] Operation: 20+69=89 Exploring Operation: 69-56=13, Resulting Numbers: [20, 23, 13] Generated Node #0,2: 92:[20, 23, 13] Operation: 69-56=13 Exploring Operation: 69-23=46, Resulting Numbers: [20, 56, 46] Generated Node #0,3: 92:[20, 56, 46] Operation: 69-23=46 Exploring Operation: 69+23=92, Resulting Numbers: [20, 56, 92] Generated Node #0,4: 92:[20, 56, 92] Operation: 69+23=92 Start Sub Search at level 1: Moving to Node #0,2 Current State: 92:[20, 23, 13], Operations: ['69-56=13'] Exploring Operation: 23-13=10, Resulting Numbers: [20, 10] Generated Node #0,2,0: 92:[20, 10] Operation: 23-13=10 Exploring Operation: 20-13=7, Resulting Numbers: [23, 7] Generated Node #0,2,1: 92:[23, 7] Operation: 20-13=7 Exploring Operation: 23-20=3, Resulting Numbers: [13, 3] Generated Node #0,2,2: 92:[13, 3] Operation: 23-20=3 Exploring Operation: 20+23=43, Resulting Numbers: [13, 43] Generated Node #0,2,3: 92:[13, 43] Operation: 20+23=43 Exploring Operation: 20+13=33, Resulting Numbers: [23, 33] Generated Node #0,2,4: 92:[23, 33] Operation: 20+13=33 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 92:[23, 7], Operations: ['69-56=13', '20-13=7'] Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 23*7=161, Resulting Numbers: [161] 161,92 unequal: No Solution Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 92:[20, 10], Operations: ['69-56=13', '23-13=10'] Exploring Operation: 20*10=200, Resulting Numbers: [200] 200,92 unequal: No Solution Exploring Operation: 20/10=2, Resulting Numbers: [2] 2,92 unequal: No Solution Exploring Operation: 20+10=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 92:[13, 3], Operations: ['69-56=13', '23-20=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,92 unequal: No Solution Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 92:[23, 33], Operations: ['69-56=13', '20+13=33'] Exploring Operation: 23*33=759, Resulting Numbers: [759] 759,92 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,92 unequal: No Solution Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 92:[13, 43], Operations: ['69-56=13', '20+23=43'] Exploring Operation: 13*43=559, Resulting Numbers: [559] 559,92 unequal: No Solution Exploring Operation: 13+43=56, Resulting Numbers: [56] 56,92 unequal: No Solution Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 92:[56, 23, 49], Operations: ['69-20=49'] Exploring Operation: 56+23=79, Resulting Numbers: [49, 79] Generated Node #0,0,0: 92:[49, 79] Operation: 56+23=79 Exploring Operation: 56+49=105, Resulting Numbers: [23, 105] Generated Node #0,0,1: 92:[23, 105] Operation: 56+49=105 Exploring Operation: 56-23=33, Resulting Numbers: [49, 33] Generated Node #0,0,2: 92:[49, 33] Operation: 56-23=33 Exploring Operation: 56-49=7, Resulting Numbers: [23, 7] Generated Node #0,0,3: 92:[23, 7] Operation: 56-49=7 Exploring Operation: 49-23=26, Resulting Numbers: [56, 26] Generated Node #0,0,4: 92:[56, 26] Operation: 49-23=26 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 92:[23, 7], Operations: ['69-20=49', '56-49=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 23*7=161, Resulting Numbers: [161] 161,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 92:[23, 105], Operations: ['69-20=49', '56+49=105'] Exploring Operation: 105-23=82, Resulting Numbers: [82] 82,92 unequal: No Solution Exploring Operation: 23*105=2415, Resulting Numbers: [2415] 2415,92 unequal: No Solution Exploring Operation: 23+105=128, Resulting Numbers: [128] 128,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 92:[49, 33], Operations: ['69-20=49', '56-23=33'] Exploring Operation: 49-33=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 49*33=1617, Resulting Numbers: [1617] 1617,92 unequal: No Solution Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 92:[56, 26], Operations: ['69-20=49', '49-23=26'] Exploring Operation: 56*26=1456, Resulting Numbers: [1456] 1456,92 unequal: No Solution Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 56+26=82, Resulting Numbers: [82] 82,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 92:[49, 79], Operations: ['69-20=49', '56+23=79'] Exploring Operation: 49*79=3871, Resulting Numbers: [3871] 3871,92 unequal: No Solution Exploring Operation: 79-49=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 49+79=128, Resulting Numbers: [128] 128,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 92:[56, 23, 89], Operations: ['20+69=89'] Exploring Operation: 56-23=33, Resulting Numbers: [89, 33] Generated Node #0,1,0: 92:[89, 33] Operation: 56-23=33 Exploring Operation: 89-23=66, Resulting Numbers: [56, 66] Generated Node #0,1,1: 92:[56, 66] Operation: 89-23=66 Exploring Operation: 23+89=112, Resulting Numbers: [56, 112] Generated Node #0,1,2: 92:[56, 112] Operation: 23+89=112 Exploring Operation: 89-56=33, Resulting Numbers: [23, 33] Generated Node #0,1,3: 92:[23, 33] Operation: 89-56=33 Exploring Operation: 56+23=79, Resulting Numbers: [89, 79] Generated Node #0,1,4: 92:[89, 79] Operation: 56+23=79 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 92:[23, 33], Operations: ['20+69=89', '89-56=33'] Exploring Operation: 23*33=759, Resulting Numbers: [759] 759,92 unequal: No Solution Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,92 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 92:[89, 33], Operations: ['20+69=89', '56-23=33'] Exploring Operation: 89+33=122, Resulting Numbers: [122] 122,92 unequal: No Solution Exploring Operation: 89-33=56, Resulting Numbers: [56] 56,92 unequal: No Solution Exploring Operation: 89*33=2937, Resulting Numbers: [2937] 2937,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 92:[89, 79], Operations: ['20+69=89', '56+23=79'] Exploring Operation: 89+79=168, Resulting Numbers: [168] 168,92 unequal: No Solution Exploring Operation: 89-79=10, Resulting Numbers: [10] 10,92 unequal: No Solution Exploring Operation: 89*79=7031, Resulting Numbers: [7031] 7031,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 92:[56, 66], Operations: ['20+69=89', '89-23=66'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,92 unequal: No Solution Exploring Operation: 56+66=122, Resulting Numbers: [122] 122,92 unequal: No Solution Exploring Operation: 56*66=3696, Resulting Numbers: [3696] 3696,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 92:[56, 112], Operations: ['20+69=89', '23+89=112'] Exploring Operation: 56+112=168, Resulting Numbers: [168] 168,92 unequal: No Solution Exploring Operation: 56*112=6272, Resulting Numbers: [6272] 6272,92 unequal: No Solution Exploring Operation: 112/56=2, Resulting Numbers: [2] 2,92 unequal: No Solution Exploring Operation: 112-56=56, Resulting Numbers: [56] 56,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 92:[20, 56, 46], Operations: ['69-23=46'] Exploring Operation: 20+56=76, Resulting Numbers: [46, 76] Generated Node #0,3,0: 92:[46, 76] Operation: 20+56=76 Exploring Operation: 56+46=102, Resulting Numbers: [20, 102] Generated Node #0,3,1: 92:[20, 102] Operation: 56+46=102 Exploring Operation: 56-20=36, Resulting Numbers: [46, 36] Generated Node #0,3,2: 92:[46, 36] Operation: 56-20=36 Exploring Operation: 46-20=26, Resulting Numbers: [56, 26] Generated Node #0,3,3: 92:[56, 26] Operation: 46-20=26 Exploring Operation: 56-46=10, Resulting Numbers: [20, 10] Generated Node #0,3,4: 92:[20, 10] Operation: 56-46=10 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 92:[20, 10], Operations: ['69-23=46', '56-46=10'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,92 unequal: No Solution Exploring Operation: 20*10=200, Resulting Numbers: [200] 200,92 unequal: No Solution Exploring Operation: 20+10=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 20/10=2, Resulting Numbers: [2] 2,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 92:[46, 36], Operations: ['69-23=46', '56-20=36'] Exploring Operation: 46+36=82, Resulting Numbers: [82] 82,92 unequal: No Solution Exploring Operation: 46*36=1656, Resulting Numbers: [1656] 1656,92 unequal: No Solution Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 92:[20, 102], Operations: ['69-23=46', '56+46=102'] Exploring Operation: 20+102=122, Resulting Numbers: [122] 122,92 unequal: No Solution Exploring Operation: 102-20=82, Resulting Numbers: [82] 82,92 unequal: No Solution Exploring Operation: 20*102=2040, Resulting Numbers: [2040] 2040,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 92:[56, 26], Operations: ['69-23=46', '46-20=26'] Exploring Operation: 56*26=1456, Resulting Numbers: [1456] 1456,92 unequal: No Solution Exploring Operation: 56+26=82, Resulting Numbers: [82] 82,92 unequal: No Solution Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 92:[46, 76], Operations: ['69-23=46', '20+56=76'] Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,92 unequal: No Solution Exploring Operation: 46+76=122, Resulting Numbers: [122] 122,92 unequal: No Solution Exploring Operation: 46*76=3496, Resulting Numbers: [3496] 3496,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 92:[20, 56, 92], Operations: ['69+23=92'] Exploring Operation: 92-56=36, Resulting Numbers: [20, 36] Generated Node #0,4,0: 92:[20, 36] Operation: 92-56=36 Exploring Operation: 56-20=36, Resulting Numbers: [92, 36] Generated Node #0,4,1: 92:[92, 36] Operation: 56-20=36 Exploring Operation: 20+92=112, Resulting Numbers: [56, 112] Generated Node #0,4,2: 92:[56, 112] Operation: 20+92=112 Exploring Operation: 20+56=76, Resulting Numbers: [92, 76] Generated Node #0,4,3: 92:[92, 76] Operation: 20+56=76 Exploring Operation: 92-20=72, Resulting Numbers: [56, 72] Generated Node #0,4,4: 92:[56, 72] Operation: 92-20=72 Moving to Node #0,4,1 Current State: 92:[92, 36], Operations: ['69+23=92', '56-20=36'] Exploring Operation: 92-36=56, Resulting Numbers: [56] 56,92 unequal: No Solution Exploring Operation: 92+36=128, Resulting Numbers: [128] 128,92 unequal: No Solution Exploring Operation: 92*36=3312, Resulting Numbers: [3312] 3312,92 unequal: No Solution Moving to Node #0,4,0 Current State: 92:[20, 36], Operations: ['69+23=92', '92-56=36'] Exploring Operation: 36-20=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 20*36=720, Resulting Numbers: [720] 720,92 unequal: No Solution Exploring Operation: 20+36=56, Resulting Numbers: [56] 56,92 unequal: No Solution Moving to Node #0,4,3 Current State: 92:[92, 76], Operations: ['69+23=92', '20+56=76'] Exploring Operation: 92-76=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 92+76=168, Resulting Numbers: [168] 168,92 unequal: No Solution Exploring Operation: 92*76=6992, Resulting Numbers: [6992] 6992,92 unequal: No Solution Moving to Node #0,4,2 Current State: 92:[56, 112], Operations: ['69+23=92', '20+92=112'] Exploring Operation: 56*112=6272, Resulting Numbers: [6272] 6272,92 unequal: No Solution Exploring Operation: 112/56=2, Resulting Numbers: [2] 2,92 unequal: No Solution Exploring Operation: 112-56=56, Resulting Numbers: [56] 56,92 unequal: No Solution Exploring Operation: 56+112=168, Resulting Numbers: [168] 168,92 unequal: No Solution Moving to Node #0,4,4 Current State: 92:[56, 72], Operations: ['69+23=92', '92-20=72'] Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,92 unequal: No Solution Exploring Operation: 56*72=4032, Resulting Numbers: [4032] 4032,92 unequal: No Solution Exploring Operation: 56+72=128, Resulting Numbers: [128] 128,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 41, 26, 32, 3 ]
59
[ "32-26=6", "3*6=18", "41+18=59" ]
Current State: 59:[41, 26, 32, 3], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [41, 3, 6] Generated Node #2: [41, 3, 6] from Operation: 32-26=6 Current State: 59:[41, 3, 6], Operations: ['32-26=6'] Exploring Operation: 3*6=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 3*6=18 Current State: 59:[41, 18], Operations: ['32-26=6', '3*6=18'] Exploring Operation: 41+18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[41, 26, 32, 3], Operations: [] Exploring Operation: 26+3=29, Resulting Numbers: [41, 32, 29] Generated Node #0,0: 59:[41, 32, 29] Operation: 26+3=29 Exploring Operation: 26*3=78, Resulting Numbers: [41, 32, 78] Generated Node #0,1: 59:[41, 32, 78] Operation: 26*3=78 Exploring Operation: 41+3=44, Resulting Numbers: [26, 32, 44] Generated Node #0,2: 59:[26, 32, 44] Operation: 41+3=44 Exploring Operation: 26+32=58, Resulting Numbers: [41, 3, 58] Generated Node #0,3: 59:[41, 3, 58] Operation: 26+32=58 Moving to Node #0,1 Current State: 59:[41, 32, 78], Operations: ['26*3=78'] Exploring Operation: 78-41=37, Resulting Numbers: [32, 37] Generated Node #0,1,0: 59:[32, 37] Operation: 78-41=37 Exploring Operation: 41-32=9, Resulting Numbers: [78, 9] Generated Node #0,1,1: 59:[78, 9] Operation: 41-32=9 Exploring Operation: 41+32=73, Resulting Numbers: [78, 73] Generated Node #0,1,2: 59:[78, 73] Operation: 41+32=73 Exploring Operation: 78-32=46, Resulting Numbers: [41, 46] Generated Node #0,1,3: 59:[41, 46] Operation: 78-32=46 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 59:[41, 46], Operations: ['26*3=78', '78-32=46'] Exploring Operation: 46-41=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 41+46=87, Resulting Numbers: [87] 87,59 unequal: No Solution Exploring Operation: 41*46=1886, Resulting Numbers: [1886] 1886,59 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 #0,1,2 Current State: 59:[78, 73], Operations: ['26*3=78', '41+32=73'] Exploring Operation: 78+73=151, Resulting Numbers: [151] 151,59 unequal: No Solution Exploring Operation: 78*73=5694, Resulting Numbers: [5694] 5694,59 unequal: No Solution Exploring Operation: 78-73=5, Resulting Numbers: [5] 5,59 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 #0,1,0 Current State: 59:[32, 37], Operations: ['26*3=78', '78-41=37'] Exploring Operation: 37-32=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 32+37=69, Resulting Numbers: [69] 69,59 unequal: No Solution Exploring Operation: 32*37=1184, Resulting Numbers: [1184] 1184,59 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 #0,1,1 Current State: 59:[78, 9], Operations: ['26*3=78', '41-32=9'] Exploring Operation: 78*9=702, Resulting Numbers: [702] 702,59 unequal: No Solution Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,59 unequal: No Solution Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 59:[26, 32, 44], Operations: ['41+3=44'] Exploring Operation: 26+44=70, Resulting Numbers: [32, 70] Generated Node #0,2,0: 59:[32, 70] Operation: 26+44=70 Exploring Operation: 32-26=6, Resulting Numbers: [44, 6] Generated Node #0,2,1: 59:[44, 6] Operation: 32-26=6 Exploring Operation: 32+44=76, Resulting Numbers: [26, 76] Generated Node #0,2,2: 59:[26, 76] Operation: 32+44=76 Exploring Operation: 26+32=58, Resulting Numbers: [44, 58] Generated Node #0,2,3: 59:[44, 58] Operation: 26+32=58 Moving to Node #0,0 Current State: 59:[41, 32, 29], Operations: ['26+3=29'] Exploring Operation: 41+32=73, Resulting Numbers: [29, 73] Generated Node #0,0,0: 59:[29, 73] Operation: 41+32=73 Exploring Operation: 41+29=70, Resulting Numbers: [32, 70] Generated Node #0,0,1: 59:[32, 70] Operation: 41+29=70 Exploring Operation: 32+29=61, Resulting Numbers: [41, 61] Generated Node #0,0,2: 59:[41, 61] Operation: 32+29=61 Exploring Operation: 41-29=12, Resulting Numbers: [32, 12] Generated Node #0,0,3: 59:[32, 12] Operation: 41-29=12 Moving to Node #0,3 Current State: 59:[41, 3, 58], Operations: ['26+32=58'] Exploring Operation: 41+3=44, Resulting Numbers: [58, 44] Generated Node #0,3,0: 59:[58, 44] Operation: 41+3=44 Exploring Operation: 58-3=55, Resulting Numbers: [41, 55] Generated Node #0,3,1: 59:[41, 55] Operation: 58-3=55 Exploring Operation: 3+58=61, Resulting Numbers: [41, 61] Generated Node #0,3,2: 59:[41, 61] Operation: 3+58=61 Exploring Operation: 41-3=38, Resulting Numbers: [58, 38] Generated Node #0,3,3: 59:[58, 38] Operation: 41-3=38 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 59:[58, 44], Operations: ['26+32=58', '41+3=44'] Exploring Operation: 58*44=2552, Resulting Numbers: [2552] 2552,59 unequal: No Solution Exploring Operation: 58-44=14, Resulting Numbers: [14] 14,59 unequal: No Solution Exploring Operation: 58+44=102, Resulting Numbers: [102] 102,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 59:[41, 61], Operations: ['26+32=58', '3+58=61'] Exploring Operation: 61-41=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 41+61=102, Resulting Numbers: [102] 102,59 unequal: No Solution Exploring Operation: 41*61=2501, Resulting Numbers: [2501] 2501,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 59:[41, 55], Operations: ['26+32=58', '58-3=55'] Exploring Operation: 41+55=96, Resulting Numbers: [96] 96,59 unequal: No Solution Exploring Operation: 55-41=14, Resulting Numbers: [14] 14,59 unequal: No Solution Exploring Operation: 41*55=2255, Resulting Numbers: [2255] 2255,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 59:[58, 38], Operations: ['26+32=58', '41-3=38'] Exploring Operation: 58-38=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 58+38=96, Resulting Numbers: [96] 96,59 unequal: No Solution Exploring Operation: 58*38=2204, Resulting Numbers: [2204] 2204,59 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: 59:[44, 58], Operations: ['41+3=44', '26+32=58'] Exploring Operation: 44*58=2552, Resulting Numbers: [2552] 2552,59 unequal: No Solution Exploring Operation: 58-44=14, Resulting Numbers: [14] 14,59 unequal: No Solution Exploring Operation: 44+58=102, Resulting Numbers: [102] 102,59 unequal: No Solution Moving to Node #0,0,2 Current State: 59:[41, 61], Operations: ['26+3=29', '32+29=61'] Exploring Operation: 61-41=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 41+61=102, Resulting Numbers: [102] 102,59 unequal: No Solution Exploring Operation: 41*61=2501, Resulting Numbers: [2501] 2501,59 unequal: No Solution Moving to Node #0,0,1 Current State: 59:[32, 70], Operations: ['26+3=29', '41+29=70'] Exploring Operation: 32+70=102, Resulting Numbers: [102] 102,59 unequal: No Solution Exploring Operation: 32*70=2240, Resulting Numbers: [2240] 2240,59 unequal: No Solution Exploring Operation: 70-32=38, Resulting Numbers: [38] 38,59 unequal: No Solution Moving to Node #0,2,0 Current State: 59:[32, 70], Operations: ['41+3=44', '26+44=70'] Exploring Operation: 70-32=38, Resulting Numbers: [38] 38,59 unequal: No Solution Exploring Operation: 32*70=2240, Resulting Numbers: [2240] 2240,59 unequal: No Solution Exploring Operation: 32+70=102, Resulting Numbers: [102] 102,59 unequal: No Solution Moving to Node #0,0,0 Current State: 59:[29, 73], Operations: ['26+3=29', '41+32=73'] Exploring Operation: 29+73=102, Resulting Numbers: [102] 102,59 unequal: No Solution Exploring Operation: 73-29=44, Resulting Numbers: [44] 44,59 unequal: No Solution Exploring Operation: 29*73=2117, Resulting Numbers: [2117] 2117,59 unequal: No Solution Moving to Node #0,2,2 Current State: 59:[26, 76], Operations: ['41+3=44', '32+44=76'] Exploring Operation: 26*76=1976, Resulting Numbers: [1976] 1976,59 unequal: No Solution Exploring Operation: 76-26=50, Resulting Numbers: [50] 50,59 unequal: No Solution Exploring Operation: 26+76=102, Resulting Numbers: [102] 102,59 unequal: No Solution Moving to Node #0,2,1 Current State: 59:[44, 6], Operations: ['41+3=44', '32-26=6'] Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,59 unequal: No Solution Exploring Operation: 44*6=264, Resulting Numbers: [264] 264,59 unequal: No Solution Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,59 unequal: No Solution Moving to Node #0,0,3 Current State: 59:[32, 12], Operations: ['26+3=29', '41-29=12'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 32*12=384, Resulting Numbers: [384] 384,59 unequal: No Solution Exploring Operation: 32+12=44, Resulting Numbers: [44] 44,59 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 47, 52, 25, 70 ]
19
[ "52-47=5", "25+70=95", "95/5=19" ]
Current State: 19:[47, 52, 25, 70], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [25, 70, 5] Generated Node #2: [25, 70, 5] from Operation: 52-47=5 Current State: 19:[25, 70, 5], Operations: ['52-47=5'] Exploring Operation: 25+70=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 25+70=95 Current State: 19:[5, 95], Operations: ['52-47=5', '25+70=95'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[47, 52, 25, 70], Operations: [] Exploring Operation: 70-47=23, Resulting Numbers: [52, 25, 23] Generated Node #0,0: 19:[52, 25, 23] Operation: 70-47=23 Exploring Operation: 47-25=22, Resulting Numbers: [52, 70, 22] Generated Node #0,1: 19:[52, 70, 22] Operation: 47-25=22 Exploring Operation: 70-52=18, Resulting Numbers: [47, 25, 18] Generated Node #0,2: 19:[47, 25, 18] Operation: 70-52=18 Exploring Operation: 52-47=5, Resulting Numbers: [25, 70, 5] Generated Node #0,3: 19:[25, 70, 5] Operation: 52-47=5 Start Sub Search at level 1: Moving to Node #0,2 Current State: 19:[47, 25, 18], Operations: ['70-52=18'] Exploring Operation: 47+18=65, Resulting Numbers: [25, 65] Generated Node #0,2,0: 19:[25, 65] Operation: 47+18=65 Exploring Operation: 47-18=29, Resulting Numbers: [25, 29] Generated Node #0,2,1: 19:[25, 29] Operation: 47-18=29 Exploring Operation: 25-18=7, Resulting Numbers: [47, 7] Generated Node #0,2,2: 19:[47, 7] Operation: 25-18=7 Exploring Operation: 47-25=22, Resulting Numbers: [18, 22] Generated Node #0,2,3: 19:[18, 22] Operation: 47-25=22 Moving to Node #0,2,3 Current State: 19:[18, 22], Operations: ['70-52=18', '47-25=22'] Exploring Operation: 18+22=40, Resulting Numbers: [40] 40,19 unequal: No Solution Exploring Operation: 18*22=396, Resulting Numbers: [396] 396,19 unequal: No Solution Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,19 unequal: No Solution Moving to Node #0,2,1 Current State: 19:[25, 29], Operations: ['70-52=18', '47-18=29'] Exploring Operation: 29-25=4, Resulting Numbers: [4] 4,19 unequal: No Solution Exploring Operation: 25*29=725, Resulting Numbers: [725] 725,19 unequal: No Solution Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,19 unequal: No Solution Moving to Node #0,2,2 Current State: 19:[47, 7], Operations: ['70-52=18', '25-18=7'] Exploring Operation: 47-7=40, Resulting Numbers: [40] 40,19 unequal: No Solution Exploring Operation: 47+7=54, Resulting Numbers: [54] 54,19 unequal: No Solution Exploring Operation: 47*7=329, Resulting Numbers: [329] 329,19 unequal: No Solution Moving to Node #0,2,0 Current State: 19:[25, 65], Operations: ['70-52=18', '47+18=65'] Exploring Operation: 25*65=1625, Resulting Numbers: [1625] 1625,19 unequal: No Solution Exploring Operation: 25+65=90, Resulting Numbers: [90] 90,19 unequal: No Solution Exploring Operation: 65-25=40, Resulting Numbers: [40] 40,19 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 #0,0 Current State: 19:[52, 25, 23], Operations: ['70-47=23'] Exploring Operation: 25-23=2, Resulting Numbers: [52, 2] Generated Node #0,0,0: 19:[52, 2] Operation: 25-23=2 Exploring Operation: 52-25=27, Resulting Numbers: [23, 27] Generated Node #0,0,1: 19:[23, 27] Operation: 52-25=27 Exploring Operation: 52+25=77, Resulting Numbers: [23, 77] Generated Node #0,0,2: 19:[23, 77] Operation: 52+25=77 Exploring Operation: 52-23=29, Resulting Numbers: [25, 29] Generated Node #0,0,3: 19:[25, 29] Operation: 52-23=29 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 19:[23, 27], Operations: ['70-47=23', '52-25=27'] Exploring Operation: 27-23=4, Resulting Numbers: [4] 4,19 unequal: No Solution Exploring Operation: 23*27=621, Resulting Numbers: [621] 621,19 unequal: No Solution Exploring Operation: 23+27=50, Resulting Numbers: [50] 50,19 unequal: No Solution No 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: 19:[25, 29], Operations: ['70-47=23', '52-23=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,19 unequal: No Solution Exploring Operation: 29-25=4, Resulting Numbers: [4] 4,19 unequal: No Solution Exploring Operation: 25*29=725, Resulting Numbers: [725] 725,19 unequal: No Solution No 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: 19:[52, 2], Operations: ['70-47=23', '25-23=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,19 unequal: No Solution Exploring Operation: 52*2=104, Resulting Numbers: [104] 104,19 unequal: No Solution Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,19 unequal: No Solution Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,19 unequal: No Solution No 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: 19:[23, 77], Operations: ['70-47=23', '52+25=77'] Exploring Operation: 77-23=54, Resulting Numbers: [54] 54,19 unequal: No Solution Exploring Operation: 23*77=1771, Resulting Numbers: [1771] 1771,19 unequal: No Solution Exploring Operation: 23+77=100, Resulting Numbers: [100] 100,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 19:[25, 70, 5], Operations: ['52-47=5'] Exploring Operation: 70-5=65, Resulting Numbers: [25, 65] Generated Node #0,3,0: 19:[25, 65] Operation: 70-5=65 Exploring Operation: 25-5=20, Resulting Numbers: [70, 20] Generated Node #0,3,1: 19:[70, 20] Operation: 25-5=20 Exploring Operation: 70/5=14, Resulting Numbers: [25, 14] Generated Node #0,3,2: 19:[25, 14] Operation: 70/5=14 Exploring Operation: 70-25=45, Resulting Numbers: [5, 45] Generated Node #0,3,3: 19:[5, 45] Operation: 70-25=45 Moving to Node #0,3,2 Current State: 19:[25, 14], Operations: ['52-47=5', '70/5=14'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,19 unequal: No Solution Exploring Operation: 25*14=350, Resulting Numbers: [350] 350,19 unequal: No Solution Exploring Operation: 25+14=39, Resulting Numbers: [39] 39,19 unequal: No Solution Moving to Node #0,3,3 Current State: 19:[5, 45], Operations: ['52-47=5', '70-25=45'] Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,19 unequal: No Solution Exploring Operation: 5*45=225, Resulting Numbers: [225] 225,19 unequal: No Solution Exploring Operation: 45/5=9, Resulting Numbers: [9] 9,19 unequal: No Solution Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,19 unequal: No Solution Moving to Node #0,3,1 Current State: 19:[70, 20], Operations: ['52-47=5', '25-5=20'] Exploring Operation: 70*20=1400, Resulting Numbers: [1400] 1400,19 unequal: No Solution Exploring Operation: 70+20=90, Resulting Numbers: [90] 90,19 unequal: No Solution Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,19 unequal: No Solution Moving to Node #0,3,0 Current State: 19:[25, 65], Operations: ['52-47=5', '70-5=65'] Exploring Operation: 25*65=1625, Resulting Numbers: [1625] 1625,19 unequal: No Solution Exploring Operation: 65-25=40, Resulting Numbers: [40] 40,19 unequal: No Solution Exploring Operation: 25+65=90, Resulting Numbers: [90] 90,19 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 Current State: 19:[52, 70, 22], Operations: ['47-25=22'] Exploring Operation: 52+70=122, Resulting Numbers: [22, 122] Generated Node #0,1,0: 19:[22, 122] Operation: 52+70=122 Exploring Operation: 70-22=48, Resulting Numbers: [52, 48] Generated Node #0,1,1: 19:[52, 48] Operation: 70-22=48 Exploring Operation: 52-22=30, Resulting Numbers: [70, 30] Generated Node #0,1,2: 19:[70, 30] Operation: 52-22=30 Exploring Operation: 70-52=18, Resulting Numbers: [22, 18] Generated Node #0,1,3: 19:[22, 18] Operation: 70-52=18 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 19:[22, 18], Operations: ['47-25=22', '70-52=18'] Exploring Operation: 22*18=396, Resulting Numbers: [396] 396,19 unequal: No Solution Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,19 unequal: No Solution Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,19 unequal: No Solution No 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: 19:[52, 48], Operations: ['47-25=22', '70-22=48'] Exploring Operation: 52*48=2496, Resulting Numbers: [2496] 2496,19 unequal: No Solution Exploring Operation: 52-48=4, Resulting Numbers: [4] 4,19 unequal: No Solution Exploring Operation: 52+48=100, Resulting Numbers: [100] 100,19 unequal: No Solution No 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: 19:[70, 30], Operations: ['47-25=22', '52-22=30'] Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,19 unequal: No Solution Exploring Operation: 70+30=100, Resulting Numbers: [100] 100,19 unequal: No Solution Exploring Operation: 70*30=2100, Resulting Numbers: [2100] 2100,19 unequal: No Solution No 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: 19:[22, 122], Operations: ['47-25=22', '52+70=122'] Exploring Operation: 122-22=100, Resulting Numbers: [100] 100,19 unequal: No Solution Exploring Operation: 22*122=2684, Resulting Numbers: [2684] 2684,19 unequal: No Solution Exploring Operation: 22+122=144, Resulting Numbers: [144] 144,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 23, 21, 37, 17 ]
57
[ "23-21=2", "37*2=74", "74-17=57" ]
Current State: 57:[23, 21, 37, 17], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [37, 17, 2] Generated Node #2: [37, 17, 2] from Operation: 23-21=2 Current State: 57:[37, 17, 2], Operations: ['23-21=2'] Exploring Operation: 37*2=74, Resulting Numbers: [17, 74] Generated Node #3: [17, 74] from Operation: 37*2=74 Current State: 57:[17, 74], Operations: ['23-21=2', '37*2=74'] Exploring Operation: 74-17=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[23, 21, 37, 17], Operations: [] Exploring Operation: 23+37=60, Resulting Numbers: [21, 17, 60] Generated Node #0,0: 57:[21, 17, 60] Operation: 23+37=60 Exploring Operation: 21+37=58, Resulting Numbers: [23, 17, 58] Generated Node #0,1: 57:[23, 17, 58] Operation: 21+37=58 Exploring Operation: 37-17=20, Resulting Numbers: [23, 21, 20] Generated Node #0,2: 57:[23, 21, 20] Operation: 37-17=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[21, 17, 60], Operations: ['23+37=60'] Exploring Operation: 60-21=39, Resulting Numbers: [17, 39] Generated Node #0,0,0: 57:[17, 39] Operation: 60-21=39 Exploring Operation: 21-17=4, Resulting Numbers: [60, 4] Generated Node #0,0,1: 57:[60, 4] Operation: 21-17=4 Exploring Operation: 60-17=43, Resulting Numbers: [21, 43] Generated Node #0,0,2: 57:[21, 43] Operation: 60-17=43 Moving to Node #0,0,1 Current State: 57:[60, 4], Operations: ['23+37=60', '21-17=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,57 unequal: No Solution Exploring Operation: 60-4=56, Resulting Numbers: [56] 56,57 unequal: No Solution Exploring Operation: 60+4=64, Resulting Numbers: [64] 64,57 unequal: No Solution Moving to Node #0,0,2 Current State: 57:[21, 43], Operations: ['23+37=60', '60-17=43'] Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,57 unequal: No Solution Exploring Operation: 21*43=903, Resulting Numbers: [903] 903,57 unequal: No Solution Exploring Operation: 21+43=64, Resulting Numbers: [64] 64,57 unequal: No Solution Moving to Node #0,0,0 Current State: 57:[17, 39], Operations: ['23+37=60', '60-21=39'] Exploring Operation: 17+39=56, Resulting Numbers: [56] 56,57 unequal: No Solution Exploring Operation: 17*39=663, Resulting Numbers: [663] 663,57 unequal: No Solution Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[23, 17, 58], Operations: ['21+37=58'] Exploring Operation: 23+17=40, Resulting Numbers: [58, 40] Generated Node #0,1,0: 57:[58, 40] Operation: 23+17=40 Exploring Operation: 23-17=6, Resulting Numbers: [58, 6] Generated Node #0,1,1: 57:[58, 6] Operation: 23-17=6 Exploring Operation: 58-23=35, Resulting Numbers: [17, 35] Generated Node #0,1,2: 57:[17, 35] Operation: 58-23=35 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 57:[58, 6], Operations: ['21+37=58', '23-17=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,57 unequal: No Solution Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,57 unequal: No Solution Exploring Operation: 58*6=348, Resulting Numbers: [348] 348,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 57:[58, 40], Operations: ['21+37=58', '23+17=40'] Exploring Operation: 58-40=18, Resulting Numbers: [18] 18,57 unequal: No Solution Exploring Operation: 58+40=98, Resulting Numbers: [98] 98,57 unequal: No Solution Exploring Operation: 58*40=2320, Resulting Numbers: [2320] 2320,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 57:[17, 35], Operations: ['21+37=58', '58-23=35'] Exploring Operation: 35-17=18, Resulting Numbers: [18] 18,57 unequal: No Solution Exploring Operation: 17*35=595, Resulting Numbers: [595] 595,57 unequal: No Solution Exploring Operation: 17+35=52, Resulting Numbers: [52] 52,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 57:[23, 21, 20], Operations: ['37-17=20'] Exploring Operation: 21-20=1, Resulting Numbers: [23, 1] Generated Node #0,2,0: 57:[23, 1] Operation: 21-20=1 Exploring Operation: 23-21=2, Resulting Numbers: [20, 2] Generated Node #0,2,1: 57:[20, 2] Operation: 23-21=2 Exploring Operation: 23-20=3, Resulting Numbers: [21, 3] Generated Node #0,2,2: 57:[21, 3] Operation: 23-20=3 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 57:[20, 2], Operations: ['37-17=20', '23-21=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,57 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,57 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 57:[21, 3], Operations: ['37-17=20', '23-20=3'] Exploring Operation: 21/3=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,57 unequal: No Solution Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 57:[23, 1], Operations: ['37-17=20', '21-20=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,57 unequal: No Solution Exploring Operation: 23*1=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 23/1=23, Resulting Numbers: [23] 23,57 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 7, 15, 28, 77 ]
14
[ "28-15=13", "7*13=91", "91-77=14" ]
Current State: 14:[7, 15, 28, 77], Operations: [] Exploring Operation: 28-15=13, Resulting Numbers: [7, 77, 13] Generated Node #2: [7, 77, 13] from Operation: 28-15=13 Current State: 14:[7, 77, 13], Operations: ['28-15=13'] Exploring Operation: 7*13=91, Resulting Numbers: [77, 91] Generated Node #3: [77, 91] from Operation: 7*13=91 Current State: 14:[77, 91], Operations: ['28-15=13', '7*13=91'] Exploring Operation: 91-77=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[7, 15, 28, 77], Operations: [] Exploring Operation: 77-28=49, Resulting Numbers: [7, 15, 49] Generated Node #0,0: 14:[7, 15, 49] Operation: 77-28=49 Exploring Operation: 28-15=13, Resulting Numbers: [7, 77, 13] Generated Node #0,1: 14:[7, 77, 13] Operation: 28-15=13 Exploring Operation: 77/7=11, Resulting Numbers: [15, 28, 11] Generated Node #0,2: 14:[15, 28, 11] Operation: 77/7=11 Exploring Operation: 28/7=4, Resulting Numbers: [15, 77, 4] Generated Node #0,3: 14:[15, 77, 4] Operation: 28/7=4 Exploring Operation: 77-15=62, Resulting Numbers: [7, 28, 62] Generated Node #0,4: 14:[7, 28, 62] Operation: 77-15=62 Start Sub Search at level 1: Moving to Node #0,2 Current State: 14:[15, 28, 11], Operations: ['77/7=11'] Exploring Operation: 28+11=39, Resulting Numbers: [15, 39] Generated Node #0,2,0: 14:[15, 39] Operation: 28+11=39 Exploring Operation: 28-15=13, Resulting Numbers: [11, 13] Generated Node #0,2,1: 14:[11, 13] Operation: 28-15=13 Exploring Operation: 28-11=17, Resulting Numbers: [15, 17] Generated Node #0,2,2: 14:[15, 17] Operation: 28-11=17 Exploring Operation: 15+11=26, Resulting Numbers: [28, 26] Generated Node #0,2,3: 14:[28, 26] Operation: 15+11=26 Exploring Operation: 15-11=4, Resulting Numbers: [28, 4] Generated Node #0,2,4: 14:[28, 4] Operation: 15-11=4 Moving to Node #0,2,1 Current State: 14:[11, 13], Operations: ['77/7=11', '28-15=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,14 unequal: No Solution Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,14 unequal: No Solution Exploring Operation: 11*13=143, Resulting Numbers: [143] 143,14 unequal: No Solution Moving to Node #0,2,2 Current State: 14:[15, 17], Operations: ['77/7=11', '28-11=17'] Exploring Operation: 17-15=2, Resulting Numbers: [2] 2,14 unequal: No Solution Exploring Operation: 15+17=32, Resulting Numbers: [32] 32,14 unequal: No Solution Exploring Operation: 15*17=255, Resulting Numbers: [255] 255,14 unequal: No Solution Moving to Node #0,2,4 Current State: 14:[28, 4], Operations: ['77/7=11', '15-11=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,14 unequal: No Solution Exploring Operation: 28*4=112, Resulting Numbers: [112] 112,14 unequal: No Solution Exploring Operation: 28/4=7, Resulting Numbers: [7] 7,14 unequal: No Solution Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,14 unequal: No Solution Moving to Node #0,2,0 Current State: 14:[15, 39], Operations: ['77/7=11', '28+11=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,14 unequal: No Solution Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,14 unequal: No Solution Exploring Operation: 15*39=585, Resulting Numbers: [585] 585,14 unequal: No Solution Moving to Node #0,2,3 Current State: 14:[28, 26], Operations: ['77/7=11', '15+11=26'] Exploring Operation: 28*26=728, Resulting Numbers: [728] 728,14 unequal: No Solution Exploring Operation: 28-26=2, Resulting Numbers: [2] 2,14 unequal: No Solution Exploring Operation: 28+26=54, Resulting Numbers: [54] 54,14 unequal: No Solution No 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: 14:[7, 15, 49], Operations: ['77-28=49'] Exploring Operation: 7+15=22, Resulting Numbers: [49, 22] Generated Node #0,0,0: 14:[49, 22] Operation: 7+15=22 Exploring Operation: 49/7=7, Resulting Numbers: [15, 7] Generated Node #0,0,1: 14:[15, 7] Operation: 49/7=7 Exploring Operation: 49-7=42, Resulting Numbers: [15, 42] Generated Node #0,0,2: 14:[15, 42] Operation: 49-7=42 Exploring Operation: 15-7=8, Resulting Numbers: [49, 8] Generated Node #0,0,3: 14:[49, 8] Operation: 15-7=8 Exploring Operation: 49-15=34, Resulting Numbers: [7, 34] Generated Node #0,0,4: 14:[7, 34] Operation: 49-15=34 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 14:[15, 7], Operations: ['77-28=49', '49/7=7'] Exploring Operation: 15+7=22, Resulting Numbers: [22] 22,14 unequal: No Solution Exploring Operation: 15*7=105, Resulting Numbers: [105] 105,14 unequal: No Solution Exploring Operation: 15-7=8, Resulting Numbers: [8] 8,14 unequal: No Solution No 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: 14:[7, 34], Operations: ['77-28=49', '49-15=34'] Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,14 unequal: No Solution Exploring Operation: 7*34=238, Resulting Numbers: [238] 238,14 unequal: No Solution Exploring Operation: 7+34=41, Resulting Numbers: [41] 41,14 unequal: No Solution No 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: 14:[15, 42], Operations: ['77-28=49', '49-7=42'] Exploring Operation: 15+42=57, Resulting Numbers: [57] 57,14 unequal: No Solution Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,14 unequal: No Solution Exploring Operation: 15*42=630, Resulting Numbers: [630] 630,14 unequal: No Solution No 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: 14:[49, 8], Operations: ['77-28=49', '15-7=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,14 unequal: No Solution Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,14 unequal: No Solution Exploring Operation: 49*8=392, Resulting Numbers: [392] 392,14 unequal: No Solution No 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: 14:[49, 22], Operations: ['77-28=49', '7+15=22'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,14 unequal: No Solution Exploring Operation: 49*22=1078, Resulting Numbers: [1078] 1078,14 unequal: No Solution Exploring Operation: 49+22=71, Resulting Numbers: [71] 71,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 14:[7, 28, 62], Operations: ['77-15=62'] Exploring Operation: 28/7=4, Resulting Numbers: [62, 4] Generated Node #0,4,0: 14:[62, 4] Operation: 28/7=4 Exploring Operation: 62-7=55, Resulting Numbers: [28, 55] Generated Node #0,4,1: 14:[28, 55] Operation: 62-7=55 Exploring Operation: 62-28=34, Resulting Numbers: [7, 34] Generated Node #0,4,2: 14:[7, 34] Operation: 62-28=34 Exploring Operation: 7+28=35, Resulting Numbers: [62, 35] Generated Node #0,4,3: 14:[62, 35] Operation: 7+28=35 Exploring Operation: 28-7=21, Resulting Numbers: [62, 21] Generated Node #0,4,4: 14:[62, 21] Operation: 28-7=21 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 14:[7, 34], Operations: ['77-15=62', '62-28=34'] Exploring Operation: 7+34=41, Resulting Numbers: [41] 41,14 unequal: No Solution Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,14 unequal: No Solution Exploring Operation: 7*34=238, Resulting Numbers: [238] 238,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 14:[62, 4], Operations: ['77-15=62', '28/7=4'] Exploring Operation: 62*4=248, Resulting Numbers: [248] 248,14 unequal: No Solution Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 14:[28, 55], Operations: ['77-15=62', '62-7=55'] Exploring Operation: 28*55=1540, Resulting Numbers: [1540] 1540,14 unequal: No Solution Exploring Operation: 28+55=83, Resulting Numbers: [83] 83,14 unequal: No Solution Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 14:[62, 21], Operations: ['77-15=62', '28-7=21'] Exploring Operation: 62-21=41, Resulting Numbers: [41] 41,14 unequal: No Solution Exploring Operation: 62+21=83, Resulting Numbers: [83] 83,14 unequal: No Solution Exploring Operation: 62*21=1302, Resulting Numbers: [1302] 1302,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 14:[62, 35], Operations: ['77-15=62', '7+28=35'] Exploring Operation: 62*35=2170, Resulting Numbers: [2170] 2170,14 unequal: No Solution Exploring Operation: 62-35=27, Resulting Numbers: [27] 27,14 unequal: No Solution Exploring Operation: 62+35=97, Resulting Numbers: [97] 97,14 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: 14:[7, 77, 13], Operations: ['28-15=13'] Exploring Operation: 77/7=11, Resulting Numbers: [13, 11] Generated Node #0,1,0: 14:[13, 11] Operation: 77/7=11 Exploring Operation: 77-7=70, Resulting Numbers: [13, 70] Generated Node #0,1,1: 14:[13, 70] Operation: 77-7=70 Exploring Operation: 13-7=6, Resulting Numbers: [77, 6] Generated Node #0,1,2: 14:[77, 6] Operation: 13-7=6 Exploring Operation: 77-13=64, Resulting Numbers: [7, 64] Generated Node #0,1,3: 14:[7, 64] Operation: 77-13=64 Exploring Operation: 7+13=20, Resulting Numbers: [77, 20] Generated Node #0,1,4: 14:[77, 20] Operation: 7+13=20 Moving to Node #0,1,0 Current State: 14:[13, 11], Operations: ['28-15=13', '77/7=11'] Exploring Operation: 13*11=143, Resulting Numbers: [143] 143,14 unequal: No Solution Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,14 unequal: No Solution Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,14 unequal: No Solution Moving to Node #0,1,3 Current State: 14:[7, 64], Operations: ['28-15=13', '77-13=64'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,14 unequal: No Solution Exploring Operation: 7*64=448, Resulting Numbers: [448] 448,14 unequal: No Solution Exploring Operation: 7+64=71, Resulting Numbers: [71] 71,14 unequal: No Solution Moving to Node #0,1,1 Current State: 14:[13, 70], Operations: ['28-15=13', '77-7=70'] Exploring Operation: 13+70=83, Resulting Numbers: [83] 83,14 unequal: No Solution Exploring Operation: 13*70=910, Resulting Numbers: [910] 910,14 unequal: No Solution Exploring Operation: 70-13=57, Resulting Numbers: [57] 57,14 unequal: No Solution Moving to Node #0,1,2 Current State: 14:[77, 6], Operations: ['28-15=13', '13-7=6'] Exploring Operation: 77+6=83, Resulting Numbers: [83] 83,14 unequal: No Solution Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,14 unequal: No Solution Exploring Operation: 77*6=462, Resulting Numbers: [462] 462,14 unequal: No Solution Moving to Node #0,1,4 Current State: 14:[77, 20], Operations: ['28-15=13', '7+13=20'] Exploring Operation: 77+20=97, Resulting Numbers: [97] 97,14 unequal: No Solution Exploring Operation: 77*20=1540, Resulting Numbers: [1540] 1540,14 unequal: No Solution Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,14 unequal: No Solution No 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: 14:[15, 77, 4], Operations: ['28/7=4'] Exploring Operation: 77+4=81, Resulting Numbers: [15, 81] Generated Node #0,3,0: 14:[15, 81] Operation: 77+4=81 Exploring Operation: 15+4=19, Resulting Numbers: [77, 19] Generated Node #0,3,1: 14:[77, 19] Operation: 15+4=19 Exploring Operation: 77-15=62, Resulting Numbers: [4, 62] Generated Node #0,3,2: 14:[4, 62] Operation: 77-15=62 Exploring Operation: 15-4=11, Resulting Numbers: [77, 11] Generated Node #0,3,3: 14:[77, 11] Operation: 15-4=11 Exploring Operation: 77-4=73, Resulting Numbers: [15, 73] Generated Node #0,3,4: 14:[15, 73] Operation: 77-4=73 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 14:[4, 62], Operations: ['28/7=4', '77-15=62'] Exploring Operation: 4*62=248, Resulting Numbers: [248] 248,14 unequal: No Solution Exploring Operation: 4+62=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,14 unequal: No Solution No 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: 14:[15, 73], Operations: ['28/7=4', '77-4=73'] Exploring Operation: 15*73=1095, Resulting Numbers: [1095] 1095,14 unequal: No Solution Exploring Operation: 15+73=88, Resulting Numbers: [88] 88,14 unequal: No Solution Exploring Operation: 73-15=58, Resulting Numbers: [58] 58,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 14:[77, 11], Operations: ['28/7=4', '15-4=11'] Exploring Operation: 77+11=88, Resulting Numbers: [88] 88,14 unequal: No Solution Exploring Operation: 77/11=7, Resulting Numbers: [7] 7,14 unequal: No Solution Exploring Operation: 77*11=847, Resulting Numbers: [847] 847,14 unequal: No Solution Exploring Operation: 77-11=66, Resulting Numbers: [66] 66,14 unequal: No Solution No 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: 14:[15, 81], Operations: ['28/7=4', '77+4=81'] Exploring Operation: 81-15=66, Resulting Numbers: [66] 66,14 unequal: No Solution Exploring Operation: 15*81=1215, Resulting Numbers: [1215] 1215,14 unequal: No Solution Exploring Operation: 15+81=96, Resulting Numbers: [96] 96,14 unequal: No Solution No 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: 14:[77, 19], Operations: ['28/7=4', '15+4=19'] Exploring Operation: 77+19=96, Resulting Numbers: [96] 96,14 unequal: No Solution Exploring Operation: 77*19=1463, Resulting Numbers: [1463] 1463,14 unequal: No Solution Exploring Operation: 77-19=58, Resulting Numbers: [58] 58,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 15, 65, 37, 97 ]
84
[ "65-15=50", "37+97=134", "134-50=84" ]
Current State: 84:[15, 65, 37, 97], Operations: [] Exploring Operation: 65-15=50, Resulting Numbers: [37, 97, 50] Generated Node #2: [37, 97, 50] from Operation: 65-15=50 Current State: 84:[37, 97, 50], Operations: ['65-15=50'] Exploring Operation: 37+97=134, Resulting Numbers: [50, 134] Generated Node #3: [50, 134] from Operation: 37+97=134 Current State: 84:[50, 134], Operations: ['65-15=50', '37+97=134'] Exploring Operation: 134-50=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[15, 65, 37, 97], Operations: [] Exploring Operation: 97-65=32, Resulting Numbers: [15, 37, 32] Generated Node #0,0: 84:[15, 37, 32] Operation: 97-65=32 Exploring Operation: 65-37=28, Resulting Numbers: [15, 97, 28] Generated Node #0,1: 84:[15, 97, 28] Operation: 65-37=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[15, 37, 32], Operations: ['97-65=32'] Exploring Operation: 37-32=5, Resulting Numbers: [15, 5] Generated Node #0,0,0: 84:[15, 5] Operation: 37-32=5 Exploring Operation: 37-15=22, Resulting Numbers: [32, 22] Generated Node #0,0,1: 84:[32, 22] Operation: 37-15=22 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 84:[15, 5], Operations: ['97-65=32', '37-32=5'] Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,84 unequal: No Solution Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 84:[32, 22], Operations: ['97-65=32', '37-15=22'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,84 unequal: No Solution Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 84:[15, 97, 28], Operations: ['65-37=28'] Exploring Operation: 15+28=43, Resulting Numbers: [97, 43] Generated Node #0,1,0: 84:[97, 43] Operation: 15+28=43 Exploring Operation: 97-15=82, Resulting Numbers: [28, 82] Generated Node #0,1,1: 84:[28, 82] Operation: 97-15=82 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 84:[28, 82], Operations: ['65-37=28', '97-15=82'] Exploring Operation: 28+82=110, Resulting Numbers: [110] 110,84 unequal: No Solution Exploring Operation: 82-28=54, Resulting Numbers: [54] 54,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 84:[97, 43], Operations: ['65-37=28', '15+28=43'] Exploring Operation: 97+43=140, Resulting Numbers: [140] 140,84 unequal: No Solution Exploring Operation: 97-43=54, Resulting Numbers: [54] 54,84 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 36, 20, 4, 88 ]
78
[ "36+20=56", "88/4=22", "56+22=78" ]
Current State: 78:[36, 20, 4, 88], Operations: [] Exploring Operation: 36+20=56, Resulting Numbers: [4, 88, 56] Generated Node #2: [4, 88, 56] from Operation: 36+20=56 Current State: 78:[4, 88, 56], Operations: ['36+20=56'] Exploring Operation: 88/4=22, Resulting Numbers: [56, 22] Generated Node #3: [56, 22] from Operation: 88/4=22 Current State: 78:[56, 22], Operations: ['36+20=56', '88/4=22'] Exploring Operation: 56+22=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[36, 20, 4, 88], Operations: [] Exploring Operation: 88-20=68, Resulting Numbers: [36, 4, 68] Generated Node #0,0: 78:[36, 4, 68] Operation: 88-20=68 Exploring Operation: 88/4=22, Resulting Numbers: [36, 20, 22] Generated Node #0,1: 78:[36, 20, 22] Operation: 88/4=22 Exploring Operation: 36-20=16, Resulting Numbers: [4, 88, 16] Generated Node #0,2: 78:[4, 88, 16] Operation: 36-20=16 Exploring Operation: 20+4=24, Resulting Numbers: [36, 88, 24] Generated Node #0,3: 78:[36, 88, 24] Operation: 20+4=24 Exploring Operation: 20/4=5, Resulting Numbers: [36, 88, 5] Generated Node #0,4: 78:[36, 88, 5] Operation: 20/4=5 Start Sub Search at level 1: Moving to Node #0,1 Current State: 78:[36, 20, 22], Operations: ['88/4=22'] Exploring Operation: 22-20=2, Resulting Numbers: [36, 2] Generated Node #0,1,0: 78:[36, 2] Operation: 22-20=2 Exploring Operation: 36-22=14, Resulting Numbers: [20, 14] Generated Node #0,1,1: 78:[20, 14] Operation: 36-22=14 Exploring Operation: 20+22=42, Resulting Numbers: [36, 42] Generated Node #0,1,2: 78:[36, 42] Operation: 20+22=42 Exploring Operation: 36-20=16, Resulting Numbers: [22, 16] Generated Node #0,1,3: 78:[22, 16] Operation: 36-20=16 Exploring Operation: 36+20=56, Resulting Numbers: [22, 56] Generated Node #0,1,4: 78:[22, 56] Operation: 36+20=56 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 78:[36, 2], Operations: ['88/4=22', '22-20=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,78 unequal: No Solution Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,78 unequal: No Solution Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,78 unequal: No Solution No solution found. 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: 78:[36, 42], Operations: ['88/4=22', '20+22=42'] Exploring Operation: 36+42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[36, 20, 4, 88], Operations: [] Exploring Operation: 88/4=22, Resulting Numbers: [36, 20, 22] Generated Node #0,1: 78:[36, 20, 22] Operation: 88/4=22 Moving to Node #0,1 Current State: 78:[36, 20, 22], Operations: ['88/4=22'] Exploring Operation: 20+22=42, Resulting Numbers: [36, 42] Generated Node #0,1,2: 78:[36, 42] Operation: 20+22=42 Moving to Node #0,1,2 Current State: 78:[36, 42], Operations: ['88/4=22', '20+22=42'] Exploring Operation: 36+42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.983507
hs_5
mult_heuristic
[ 11, 7, 13, 15 ]
80
[ "15-11=4", "7+13=20", "4*20=80" ]
Current State: 80:[11, 7, 13, 15], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [7, 13, 4] Generated Node #2: [7, 13, 4] from Operation: 15-11=4 Current State: 80:[7, 13, 4], Operations: ['15-11=4'] Exploring Operation: 7+13=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 7+13=20 Current State: 80:[4, 20], Operations: ['15-11=4', '7+13=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[11, 7, 13, 15], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [11, 7, 2] Generated Node #0,0: 80:[11, 7, 2] Operation: 15-13=2 Exploring Operation: 13-11=2, Resulting Numbers: [7, 15, 2] Generated Node #0,1: 80:[7, 15, 2] Operation: 13-11=2 Exploring Operation: 11-7=4, Resulting Numbers: [13, 15, 4] Generated Node #0,2: 80:[13, 15, 4] Operation: 11-7=4 Exploring Operation: 13-7=6, Resulting Numbers: [11, 15, 6] Generated Node #0,3: 80:[11, 15, 6] Operation: 13-7=6 Exploring Operation: 7+13=20, Resulting Numbers: [11, 15, 20] Generated Node #0,4: 80:[11, 15, 20] Operation: 7+13=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 80:[11, 7, 2], Operations: ['15-13=2'] Exploring Operation: 7+2=9, Resulting Numbers: [11, 9] Generated Node #0,0,0: 80:[11, 9] Operation: 7+2=9 Exploring Operation: 11-7=4, Resulting Numbers: [2, 4] Generated Node #0,0,1: 80:[2, 4] Operation: 11-7=4 Exploring Operation: 11+7=18, Resulting Numbers: [2, 18] Generated Node #0,0,2: 80:[2, 18] Operation: 11+7=18 Exploring Operation: 7-2=5, Resulting Numbers: [11, 5] Generated Node #0,0,3: 80:[11, 5] Operation: 7-2=5 Exploring Operation: 11-2=9, Resulting Numbers: [7, 9] Generated Node #0,0,4: 80:[7, 9] Operation: 11-2=9 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 80:[2, 4], Operations: ['15-13=2', '11-7=4'] Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,80 unequal: No Solution Exploring Operation: 2*4=8, Resulting Numbers: [8] 8,80 unequal: No Solution No 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: 80:[11, 5], Operations: ['15-13=2', '7-2=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,80 unequal: No Solution Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,80 unequal: No Solution Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,80 unequal: No Solution No 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: 80:[11, 9], Operations: ['15-13=2', '7+2=9'] Exploring Operation: 11-9=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,80 unequal: No Solution Exploring Operation: 11+9=20, Resulting Numbers: [20] 20,80 unequal: No Solution No 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: 80:[2, 18], Operations: ['15-13=2', '11+7=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,80 unequal: No Solution Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,80 unequal: No Solution Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,80 unequal: No Solution Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,80 unequal: No Solution No 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: 80:[7, 9], Operations: ['15-13=2', '11-2=9'] Exploring Operation: 9-7=2, Resulting Numbers: [2] 2,80 unequal: No Solution Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,80 unequal: No Solution Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,80 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: 80:[7, 15, 2], Operations: ['13-11=2'] Exploring Operation: 7+15=22, Resulting Numbers: [2, 22] Generated Node #0,1,0: 80:[2, 22] Operation: 7+15=22 Exploring Operation: 7+2=9, Resulting Numbers: [15, 9] Generated Node #0,1,1: 80:[15, 9] Operation: 7+2=9 Exploring Operation: 15-7=8, Resulting Numbers: [2, 8] Generated Node #0,1,2: 80:[2, 8] Operation: 15-7=8 Exploring Operation: 7-2=5, Resulting Numbers: [15, 5] Generated Node #0,1,3: 80:[15, 5] Operation: 7-2=5 Exploring Operation: 15+2=17, Resulting Numbers: [7, 17] Generated Node #0,1,4: 80:[7, 17] Operation: 15+2=17 Moving to Node #0,1,2 Current State: 80:[2, 8], Operations: ['13-11=2', '15-7=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,80 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,80 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,80 unequal: No Solution Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,80 unequal: No Solution Moving to Node #0,1,3 Current State: 80:[15, 5], Operations: ['13-11=2', '7-2=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,80 unequal: No Solution Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,80 unequal: No Solution Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,80 unequal: No Solution Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,80 unequal: No Solution Moving to Node #0,1,0 Current State: 80:[2, 22], Operations: ['13-11=2', '7+15=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,80 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,80 unequal: No Solution Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[15, 9], Operations: ['13-11=2', '7+2=9'] Exploring Operation: 15-9=6, Resulting Numbers: [6] 6,80 unequal: No Solution Exploring Operation: 15*9=135, Resulting Numbers: [135] 135,80 unequal: No Solution Exploring Operation: 15+9=24, Resulting Numbers: [24] 24,80 unequal: No Solution Moving to Node #0,1,4 Current State: 80:[7, 17], Operations: ['13-11=2', '15+2=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,80 unequal: No Solution Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 80:[11, 15, 20], Operations: ['7+13=20'] Exploring Operation: 20-11=9, Resulting Numbers: [15, 9] Generated Node #0,4,0: 80:[15, 9] Operation: 20-11=9 Exploring Operation: 11+15=26, Resulting Numbers: [20, 26] Generated Node #0,4,1: 80:[20, 26] Operation: 11+15=26 Exploring Operation: 15-11=4, Resulting Numbers: [20, 4] Generated Node #0,4,2: 80:[20, 4] Operation: 15-11=4 Exploring Operation: 15+20=35, Resulting Numbers: [11, 35] Generated Node #0,4,3: 80:[11, 35] Operation: 15+20=35 Exploring Operation: 20-15=5, Resulting Numbers: [11, 5] Generated Node #0,4,4: 80:[11, 5] Operation: 20-15=5 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 80:[20, 4], Operations: ['7+13=20', '15-11=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[11, 7, 13, 15], Operations: [] Exploring Operation: 7+13=20, Resulting Numbers: [11, 15, 20] Generated Node #0,4: 80:[11, 15, 20] Operation: 7+13=20 Moving to Node #0,4 Current State: 80:[11, 15, 20], Operations: ['7+13=20'] Exploring Operation: 15-11=4, Resulting Numbers: [20, 4] Generated Node #0,4,2: 80:[20, 4] Operation: 15-11=4 Moving to Node #0,4,2 Current State: 80:[20, 4], Operations: ['7+13=20', '15-11=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.947917
hs_5
mult_heuristic
[ 17, 34, 5, 6 ]
97
[ "34-17=17", "6*17=102", "102-5=97" ]
Current State: 97:[17, 34, 5, 6], Operations: [] Exploring Operation: 34-17=17, Resulting Numbers: [5, 6, 17] Generated Node #2: [5, 6, 17] from Operation: 34-17=17 Current State: 97:[5, 6, 17], Operations: ['34-17=17'] Exploring Operation: 6*17=102, Resulting Numbers: [5, 102] Generated Node #3: [5, 102] from Operation: 6*17=102 Current State: 97:[5, 102], Operations: ['34-17=17', '6*17=102'] Exploring Operation: 102-5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[17, 34, 5, 6], Operations: [] Exploring Operation: 17*6=102, Resulting Numbers: [34, 5, 102] Generated Node #0,0: 97:[34, 5, 102] Operation: 17*6=102 Exploring Operation: 17*5=85, Resulting Numbers: [34, 6, 85] Generated Node #0,1: 97:[34, 6, 85] Operation: 17*5=85 Moving to Node #0,0 Current State: 97:[34, 5, 102], Operations: ['17*6=102'] Exploring Operation: 102-5=97, Resulting Numbers: [34, 97] Generated Node #0,0,0: 97:[34, 97] Operation: 102-5=97 Exploring Operation: 34+5=39, Resulting Numbers: [102, 39] Generated Node #0,0,1: 97:[102, 39] Operation: 34+5=39 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 97:[34, 97], Operations: ['17*6=102', '102-5=97'] Exploring Operation: 34+97=131, Resulting Numbers: [131] 131,97 unequal: No Solution Exploring Operation: 97-34=63, Resulting Numbers: [63] 63,97 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:[102, 39], Operations: ['17*6=102', '34+5=39'] Exploring Operation: 102+39=141, Resulting Numbers: [141] 141,97 unequal: No Solution Exploring Operation: 102-39=63, Resulting Numbers: [63] 63,97 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:[34, 6, 85], Operations: ['17*5=85'] Exploring Operation: 6+85=91, Resulting Numbers: [34, 91] Generated Node #0,1,0: 97:[34, 91] Operation: 6+85=91 Exploring Operation: 34+6=40, Resulting Numbers: [85, 40] Generated Node #0,1,1: 97:[85, 40] Operation: 34+6=40 Moving to Node #0,1,0 Current State: 97:[34, 91], Operations: ['17*5=85', '6+85=91'] Exploring Operation: 91-34=57, Resulting Numbers: [57] 57,97 unequal: No Solution Exploring Operation: 34+91=125, Resulting Numbers: [125] 125,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[85, 40], Operations: ['17*5=85', '34+6=40'] Exploring Operation: 85+40=125, Resulting Numbers: [125] 125,97 unequal: No Solution Exploring Operation: 85-40=45, Resulting Numbers: [45] 45,97 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 3, 9, 76, 31 ]
51
[ "9-3=6", "76-31=45", "6+45=51" ]
Current State: 51:[3, 9, 76, 31], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [76, 31, 6] Generated Node #2: [76, 31, 6] from Operation: 9-3=6 Current State: 51:[76, 31, 6], Operations: ['9-3=6'] Exploring Operation: 76-31=45, Resulting Numbers: [6, 45] Generated Node #3: [6, 45] from Operation: 76-31=45 Current State: 51:[6, 45], Operations: ['9-3=6', '76-31=45'] Exploring Operation: 6+45=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[3, 9, 76, 31], Operations: [] Exploring Operation: 76-9=67, Resulting Numbers: [3, 31, 67] Generated Node #0,0: 51:[3, 31, 67] Operation: 76-9=67 Exploring Operation: 9+31=40, Resulting Numbers: [3, 76, 40] Generated Node #0,1: 51:[3, 76, 40] Operation: 9+31=40 Exploring Operation: 31-9=22, Resulting Numbers: [3, 76, 22] Generated Node #0,2: 51:[3, 76, 22] Operation: 31-9=22 Exploring Operation: 76-31=45, Resulting Numbers: [3, 9, 45] Generated Node #0,3: 51:[3, 9, 45] Operation: 76-31=45 Moving to Node #0,3 Current State: 51:[3, 9, 45], Operations: ['76-31=45'] Exploring Operation: 9+45=54, Resulting Numbers: [3, 54] Generated Node #0,3,0: 51:[3, 54] Operation: 9+45=54 Exploring Operation: 45/9=5, Resulting Numbers: [3, 5] Generated Node #0,3,1: 51:[3, 5] Operation: 45/9=5 Exploring Operation: 45/3=15, Resulting Numbers: [9, 15] Generated Node #0,3,2: 51:[9, 15] Operation: 45/3=15 Exploring Operation: 9/3=3, Resulting Numbers: [45, 3] Generated Node #0,3,3: 51:[45, 3] Operation: 9/3=3 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 51:[3, 5], Operations: ['76-31=45', '45/9=5'] Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,51 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,51 unequal: No Solution Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 51:[3, 54], Operations: ['76-31=45', '9+45=54'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[3, 9, 76, 31], Operations: [] Exploring Operation: 76-31=45, Resulting Numbers: [3, 9, 45] Generated Node #0,3: 51:[3, 9, 45] Operation: 76-31=45 Moving to Node #0,3 Current State: 51:[3, 9, 45], Operations: ['76-31=45'] Exploring Operation: 9+45=54, Resulting Numbers: [3, 54] Generated Node #0,3,0: 51:[3, 54] Operation: 9+45=54 Moving to Node #0,3,0 Current State: 51:[3, 54], Operations: ['76-31=45', '9+45=54'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_4
sum_heuristic
[ 18, 20, 89, 56 ]
66
[ "20-18=2", "89-56=33", "2*33=66" ]
Current State: 66:[18, 20, 89, 56], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [89, 56, 2] Generated Node #2: [89, 56, 2] from Operation: 20-18=2 Current State: 66:[89, 56, 2], Operations: ['20-18=2'] Exploring Operation: 89-56=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 89-56=33 Current State: 66:[2, 33], Operations: ['20-18=2', '89-56=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[18, 20, 89, 56], Operations: [] Exploring Operation: 89-56=33, Resulting Numbers: [18, 20, 33] Generated Node #0,0: 66:[18, 20, 33] Operation: 89-56=33 Exploring Operation: 89-20=69, Resulting Numbers: [18, 56, 69] Generated Node #0,1: 66:[18, 56, 69] Operation: 89-20=69 Exploring Operation: 89-18=71, Resulting Numbers: [20, 56, 71] Generated Node #0,2: 66:[20, 56, 71] Operation: 89-18=71 Moving to Node #0,0 Current State: 66:[18, 20, 33], Operations: ['89-56=33'] Exploring Operation: 33-18=15, Resulting Numbers: [20, 15] Generated Node #0,0,0: 66:[20, 15] Operation: 33-18=15 Exploring Operation: 20-18=2, Resulting Numbers: [33, 2] Generated Node #0,0,1: 66:[33, 2] Operation: 20-18=2 Exploring Operation: 18+20=38, Resulting Numbers: [33, 38] Generated Node #0,0,2: 66:[33, 38] Operation: 18+20=38 Moving to Node #0,1 Current State: 66:[18, 56, 69], Operations: ['89-20=69'] Exploring Operation: 69-56=13, Resulting Numbers: [18, 13] Generated Node #0,1,0: 66:[18, 13] Operation: 69-56=13 Exploring Operation: 56-18=38, Resulting Numbers: [69, 38] Generated Node #0,1,1: 66:[69, 38] Operation: 56-18=38 Exploring Operation: 18+56=74, Resulting Numbers: [69, 74] Generated Node #0,1,2: 66:[69, 74] Operation: 18+56=74 Moving to Node #0,2 Current State: 66:[20, 56, 71], Operations: ['89-18=71'] Exploring Operation: 20+56=76, Resulting Numbers: [71, 76] Generated Node #0,2,0: 66:[71, 76] Operation: 20+56=76 Exploring Operation: 71-56=15, Resulting Numbers: [20, 15] Generated Node #0,2,1: 66:[20, 15] Operation: 71-56=15 Exploring Operation: 56-20=36, Resulting Numbers: [71, 36] Generated Node #0,2,2: 66:[71, 36] Operation: 56-20=36 Moving to Node #0,0,1 Current State: 66:[33, 2], Operations: ['89-56=33', '20-18=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,66 unequal: No Solution Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[18, 20, 89, 56], Operations: [] Exploring Operation: 89-56=33, Resulting Numbers: [18, 20, 33] Generated Node #0,0: 66:[18, 20, 33] Operation: 89-56=33 Moving to Node #0,0 Current State: 66:[18, 20, 33], Operations: ['89-56=33'] Exploring Operation: 20-18=2, Resulting Numbers: [33, 2] Generated Node #0,0,1: 66:[33, 2] Operation: 20-18=2 Moving to Node #0,0,1 Current State: 66:[33, 2], Operations: ['89-56=33', '20-18=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
0.984375
hs_3
mult_heuristic
[ 2, 49, 59, 11 ]
14
[ "59+11=70", "70/2=35", "49-35=14" ]
Current State: 14:[2, 49, 59, 11], Operations: [] Exploring Operation: 59+11=70, Resulting Numbers: [2, 49, 70] Generated Node #2: [2, 49, 70] from Operation: 59+11=70 Current State: 14:[2, 49, 70], Operations: ['59+11=70'] Exploring Operation: 70/2=35, Resulting Numbers: [49, 35] Generated Node #3: [49, 35] from Operation: 70/2=35 Current State: 14:[49, 35], Operations: ['59+11=70', '70/2=35'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[2, 49, 59, 11], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [2, 59, 38] Generated Node #0,0: 14:[2, 59, 38] Operation: 49-11=38 Exploring Operation: 59-49=10, Resulting Numbers: [2, 11, 10] Generated Node #0,1: 14:[2, 11, 10] Operation: 59-49=10 Moving to Node #0,1 Current State: 14:[2, 11, 10], Operations: ['59-49=10'] Exploring Operation: 11-10=1, Resulting Numbers: [2, 1] Generated Node #0,1,0: 14:[2, 1] Operation: 11-10=1 Exploring Operation: 2+11=13, Resulting Numbers: [10, 13] Generated Node #0,1,1: 14:[10, 13] Operation: 2+11=13 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 14:[2, 1], Operations: ['59-49=10', '11-10=1'] Exploring Operation: 2*1=2, Resulting Numbers: [2] 2,14 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,14 unequal: No Solution No 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: 14:[10, 13], Operations: ['59-49=10', '2+11=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,14 unequal: No Solution Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,14 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: 14:[2, 59, 38], Operations: ['49-11=38'] Exploring Operation: 59-38=21, Resulting Numbers: [2, 21] Generated Node #0,0,0: 14:[2, 21] Operation: 59-38=21 Exploring Operation: 38/2=19, Resulting Numbers: [59, 19] Generated Node #0,0,1: 14:[59, 19] Operation: 38/2=19 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 14:[2, 21], Operations: ['49-11=38', '59-38=21'] Exploring Operation: 2+21=23, Resulting Numbers: [23] 23,14 unequal: No Solution Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,14 unequal: No Solution No 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: 14:[59, 19], Operations: ['49-11=38', '38/2=19'] Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 59+19=78, Resulting Numbers: [78] 78,14 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 41, 90, 48, 93 ]
10
[ "41+90=131", "48+93=141", "141-131=10" ]
Current State: 10:[41, 90, 48, 93], Operations: [] Exploring Operation: 41+90=131, Resulting Numbers: [48, 93, 131] Generated Node #2: [48, 93, 131] from Operation: 41+90=131 Current State: 10:[48, 93, 131], Operations: ['41+90=131'] Exploring Operation: 48+93=141, Resulting Numbers: [131, 141] Generated Node #3: [131, 141] from Operation: 48+93=141 Current State: 10:[131, 141], Operations: ['41+90=131', '48+93=141'] Exploring Operation: 141-131=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[41, 90, 48, 93], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [41, 93, 42] Generated Node #0,0: 10:[41, 93, 42] Operation: 90-48=42 Exploring Operation: 93-90=3, Resulting Numbers: [41, 48, 3] Generated Node #0,1: 10:[41, 48, 3] Operation: 93-90=3 Moving to Node #0,1 Current State: 10:[41, 48, 3], Operations: ['93-90=3'] Exploring Operation: 48-41=7, Resulting Numbers: [3, 7] Generated Node #0,1,0: 10:[3, 7] Operation: 48-41=7 Exploring Operation: 48/3=16, Resulting Numbers: [41, 16] Generated Node #0,1,1: 10:[41, 16] Operation: 48/3=16 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 10:[3, 7], Operations: ['93-90=3', '48-41=7'] Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[41, 90, 48, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [41, 48, 3] Generated Node #0,1: 10:[41, 48, 3] Operation: 93-90=3 Moving to Node #0,1 Current State: 10:[41, 48, 3], Operations: ['93-90=3'] Exploring Operation: 48-41=7, Resulting Numbers: [3, 7] Generated Node #0,1,0: 10:[3, 7] Operation: 48-41=7 Moving to Node #0,1,0 Current State: 10:[3, 7], Operations: ['93-90=3', '48-41=7'] Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 54, 26, 30, 15 ]
40
[ "54+26=80", "30/15=2", "80/2=40" ]
Current State: 40:[54, 26, 30, 15], Operations: [] Exploring Operation: 54+26=80, Resulting Numbers: [30, 15, 80] Generated Node #2: [30, 15, 80] from Operation: 54+26=80 Current State: 40:[30, 15, 80], Operations: ['54+26=80'] Exploring Operation: 30/15=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 30/15=2 Current State: 40:[80, 2], Operations: ['54+26=80', '30/15=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[54, 26, 30, 15], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [54, 15, 4] Generated Node #0,0: 40:[54, 15, 4] Operation: 30-26=4 Exploring Operation: 30/15=2, Resulting Numbers: [54, 26, 2] Generated Node #0,1: 40:[54, 26, 2] Operation: 30/15=2 Exploring Operation: 54-15=39, Resulting Numbers: [26, 30, 39] Generated Node #0,2: 40:[26, 30, 39] Operation: 54-15=39 Exploring Operation: 54-30=24, Resulting Numbers: [26, 15, 24] Generated Node #0,3: 40:[26, 15, 24] Operation: 54-30=24 Start Sub Search at level 1: Moving to Node #0,3 Current State: 40:[26, 15, 24], Operations: ['54-30=24'] Exploring Operation: 15+24=39, Resulting Numbers: [26, 39] Generated Node #0,3,0: 40:[26, 39] Operation: 15+24=39 Exploring Operation: 26+15=41, Resulting Numbers: [24, 41] Generated Node #0,3,1: 40:[24, 41] Operation: 26+15=41 Exploring Operation: 26-15=11, Resulting Numbers: [24, 11] Generated Node #0,3,2: 40:[24, 11] Operation: 26-15=11 Exploring Operation: 26-24=2, Resulting Numbers: [15, 2] Generated Node #0,3,3: 40:[15, 2] Operation: 26-24=2 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 40:[24, 41], Operations: ['54-30=24', '26+15=41'] Exploring Operation: 24*41=984, Resulting Numbers: [984] 984,40 unequal: No Solution Exploring Operation: 24+41=65, Resulting Numbers: [65] 65,40 unequal: No Solution Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,40 unequal: No Solution No 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: 40:[24, 11], Operations: ['54-30=24', '26-15=11'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,40 unequal: No Solution Exploring Operation: 24*11=264, Resulting Numbers: [264] 264,40 unequal: No Solution Exploring Operation: 24+11=35, Resulting Numbers: [35] 35,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 40:[15, 2], Operations: ['54-30=24', '26-24=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,40 unequal: No Solution Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,40 unequal: No Solution Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,40 unequal: No Solution No 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: 40:[26, 39], Operations: ['54-30=24', '15+24=39'] Exploring Operation: 26*39=1014, Resulting Numbers: [1014] 1014,40 unequal: No Solution Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,40 unequal: No Solution Exploring Operation: 26+39=65, Resulting Numbers: [65] 65,40 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: 40:[26, 30, 39], Operations: ['54-15=39'] Exploring Operation: 39-26=13, Resulting Numbers: [30, 13] Generated Node #0,2,0: 40:[30, 13] Operation: 39-26=13 Exploring Operation: 30-26=4, Resulting Numbers: [39, 4] Generated Node #0,2,1: 40:[39, 4] Operation: 30-26=4 Exploring Operation: 26+30=56, Resulting Numbers: [39, 56] Generated Node #0,2,2: 40:[39, 56] Operation: 26+30=56 Exploring Operation: 39-30=9, Resulting Numbers: [26, 9] Generated Node #0,2,3: 40:[26, 9] Operation: 39-30=9 Moving to Node #0,2,1 Current State: 40:[39, 4], Operations: ['54-15=39', '30-26=4'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,40 unequal: No Solution Exploring Operation: 39*4=156, Resulting Numbers: [156] 156,40 unequal: No Solution Exploring Operation: 39+4=43, Resulting Numbers: [43] 43,40 unequal: No Solution Moving to Node #0,2,3 Current State: 40:[26, 9], Operations: ['54-15=39', '39-30=9'] Exploring Operation: 26+9=35, Resulting Numbers: [35] 35,40 unequal: No Solution Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,40 unequal: No Solution Exploring Operation: 26*9=234, Resulting Numbers: [234] 234,40 unequal: No Solution Moving to Node #0,2,0 Current State: 40:[30, 13], Operations: ['54-15=39', '39-26=13'] Exploring Operation: 30*13=390, Resulting Numbers: [390] 390,40 unequal: No Solution Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,40 unequal: No Solution Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,40 unequal: No Solution Moving to Node #0,2,2 Current State: 40:[39, 56], Operations: ['54-15=39', '26+30=56'] Exploring Operation: 39*56=2184, Resulting Numbers: [2184] 2184,40 unequal: No Solution Exploring Operation: 56-39=17, Resulting Numbers: [17] 17,40 unequal: No Solution Exploring Operation: 39+56=95, Resulting Numbers: [95] 95,40 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 40:[54, 15, 4], Operations: ['30-26=4'] Exploring Operation: 54-15=39, Resulting Numbers: [4, 39] Generated Node #0,0,0: 40:[4, 39] Operation: 54-15=39 Exploring Operation: 15+4=19, Resulting Numbers: [54, 19] Generated Node #0,0,1: 40:[54, 19] Operation: 15+4=19 Exploring Operation: 15-4=11, Resulting Numbers: [54, 11] Generated Node #0,0,2: 40:[54, 11] Operation: 15-4=11 Exploring Operation: 54-4=50, Resulting Numbers: [15, 50] Generated Node #0,0,3: 40:[15, 50] Operation: 54-4=50 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 40:[4, 39], Operations: ['30-26=4', '54-15=39'] Exploring Operation: 4*39=156, Resulting Numbers: [156] 156,40 unequal: No Solution Exploring Operation: 4+39=43, Resulting Numbers: [43] 43,40 unequal: No Solution Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,40 unequal: No Solution No 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: 40:[54, 19], Operations: ['30-26=4', '15+4=19'] Exploring Operation: 54*19=1026, Resulting Numbers: [1026] 1026,40 unequal: No Solution Exploring Operation: 54-19=35, Resulting Numbers: [35] 35,40 unequal: No Solution Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,40 unequal: No Solution No 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: 40:[54, 11], Operations: ['30-26=4', '15-4=11'] Exploring Operation: 54+11=65, Resulting Numbers: [65] 65,40 unequal: No Solution Exploring Operation: 54-11=43, Resulting Numbers: [43] 43,40 unequal: No Solution Exploring Operation: 54*11=594, Resulting Numbers: [594] 594,40 unequal: No Solution No 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: 40:[15, 50], Operations: ['30-26=4', '54-4=50'] Exploring Operation: 15*50=750, Resulting Numbers: [750] 750,40 unequal: No Solution Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,40 unequal: No Solution Exploring Operation: 15+50=65, Resulting Numbers: [65] 65,40 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: 40:[54, 26, 2], Operations: ['30/15=2'] Exploring Operation: 54/2=27, Resulting Numbers: [26, 27] Generated Node #0,1,0: 40:[26, 27] Operation: 54/2=27 Exploring Operation: 54-2=52, Resulting Numbers: [26, 52] Generated Node #0,1,1: 40:[26, 52] Operation: 54-2=52 Exploring Operation: 54-26=28, Resulting Numbers: [2, 28] Generated Node #0,1,2: 40:[2, 28] Operation: 54-26=28 Exploring Operation: 26/2=13, Resulting Numbers: [54, 13] Generated Node #0,1,3: 40:[54, 13] Operation: 26/2=13 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 40:[2, 28], Operations: ['30/15=2', '54-26=28'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,40 unequal: No Solution Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,40 unequal: No Solution Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,40 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,40 unequal: No Solution No 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: 40:[26, 27], Operations: ['30/15=2', '54/2=27'] Exploring Operation: 26*27=702, Resulting Numbers: [702] 702,40 unequal: No Solution Exploring Operation: 26+27=53, Resulting Numbers: [53] 53,40 unequal: No Solution Exploring Operation: 27-26=1, Resulting Numbers: [1] 1,40 unequal: No Solution No 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: 40:[54, 13], Operations: ['30/15=2', '26/2=13'] Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,40 unequal: No Solution Exploring Operation: 54+13=67, Resulting Numbers: [67] 67,40 unequal: No Solution Exploring Operation: 54*13=702, Resulting Numbers: [702] 702,40 unequal: No Solution No 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: 40:[26, 52], Operations: ['30/15=2', '54-2=52'] Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,40 unequal: No Solution Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,40 unequal: No Solution Exploring Operation: 26*52=1352, Resulting Numbers: [1352] 1352,40 unequal: No Solution Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic