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 |
|---|---|---|---|---|---|---|---|---|
[
97,
22,
68,
5
] | 53 | [
"97-22=75",
"75/5=15",
"68-15=53"
] | Current State: 53:[97, 22, 68, 5], Operations: []
Exploring Operation: 97-22=75, Resulting Numbers: [68, 5, 75]
Generated Node #2: [68, 5, 75] from Operation: 97-22=75
Current State: 53:[68, 5, 75], Operations: ['97-22=75']
Exploring Operation: 75/5=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 75/5=15
Current State: 53:[68, 15], Operations: ['97-22=75', '75/5=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[97, 22, 68, 5], Operations: []
Exploring Operation: 97-22=75, Resulting Numbers: [68, 5, 75]
Generated Node #0,0: 53:[68, 5, 75] Operation: 97-22=75
Moving to Node #0,0
Current State: 53:[68, 5, 75], Operations: ['97-22=75']
Exploring Operation: 68-5=63, Resulting Numbers: [75, 63]
Generated Node #0,0,0: 53:[75, 63] Operation: 68-5=63
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[75, 63], Operations: ['97-22=75', '68-5=63']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,53 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 |
[
97,
38,
10,
95
] | 56 | [
"97-95=2",
"38-10=28",
"2*28=56"
] | Current State: 56:[97, 38, 10, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [38, 10, 2]
Generated Node #2: [38, 10, 2] from Operation: 97-95=2
Current State: 56:[38, 10, 2], Operations: ['97-95=2']
Exploring Operation: 38-10=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 38-10=28
Current State: 56:[2, 28], Operations: ['97-95=2', '38-10=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[97, 38, 10, 95], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [97, 10, 57]
Generated Node #0,0: 56:[97, 10, 57] Operation: 95-38=57
Exploring Operation: 97-95=2, Resulting Numbers: [38, 10, 2]
Generated Node #0,1: 56:[38, 10, 2] Operation: 97-95=2
Exploring Operation: 97-38=59, Resulting Numbers: [10, 95, 59]
Generated Node #0,2: 56:[10, 95, 59] Operation: 97-38=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[38, 10, 2], Operations: ['97-95=2']
Exploring Operation: 38+10=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 56:[2, 48] Operation: 38+10=48
Exploring Operation: 38-10=28, Resulting Numbers: [2, 28]
Generated Node #0,1,1: 56:[2, 28] Operation: 38-10=28
Exploring Operation: 38/2=19, Resulting Numbers: [10, 19]
Generated Node #0,1,2: 56:[10, 19] Operation: 38/2=19
Moving to Node #0,1,1
Current State: 56:[2, 28], Operations: ['97-95=2', '38-10=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[97, 38, 10, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [38, 10, 2]
Generated Node #0,1: 56:[38, 10, 2] Operation: 97-95=2
Moving to Node #0,1
Current State: 56:[38, 10, 2], Operations: ['97-95=2']
Exploring Operation: 38-10=28, Resulting Numbers: [2, 28]
Generated Node #0,1,1: 56:[2, 28] Operation: 38-10=28
Moving to Node #0,1,1
Current State: 56:[2, 28], Operations: ['97-95=2', '38-10=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
15,
39,
21,
20
] | 17 | [
"39-15=24",
"21+20=41",
"41-24=17"
] | Current State: 17:[15, 39, 21, 20], Operations: []
Exploring Operation: 39-15=24, Resulting Numbers: [21, 20, 24]
Generated Node #2: [21, 20, 24] from Operation: 39-15=24
Current State: 17:[21, 20, 24], Operations: ['39-15=24']
Exploring Operation: 21+20=41, Resulting Numbers: [24, 41]
Generated Node #3: [24, 41] from Operation: 21+20=41
Current State: 17:[24, 41], Operations: ['39-15=24', '21+20=41']
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[15, 39, 21, 20], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [39, 20, 6]
Generated Node #0,0: 17:[39, 20, 6] Operation: 21-15=6
Exploring Operation: 39-15=24, Resulting Numbers: [21, 20, 24]
Generated Node #0,1: 17:[21, 20, 24] Operation: 39-15=24
Exploring Operation: 39-20=19, Resulting Numbers: [15, 21, 19]
Generated Node #0,2: 17:[15, 21, 19] Operation: 39-20=19
Exploring Operation: 20-15=5, Resulting Numbers: [39, 21, 5]
Generated Node #0,3: 17:[39, 21, 5] Operation: 20-15=5
Exploring Operation: 39-21=18, Resulting Numbers: [15, 20, 18]
Generated Node #0,4: 17:[15, 20, 18] Operation: 39-21=18
Start Sub Search at level 1: Moving to Node #0,4
Current State: 17:[15, 20, 18], Operations: ['39-21=18']
Exploring Operation: 20-15=5, Resulting Numbers: [18, 5]
Generated Node #0,4,0: 17:[18, 5] Operation: 20-15=5
Exploring Operation: 15+20=35, Resulting Numbers: [18, 35]
Generated Node #0,4,1: 17:[18, 35] Operation: 15+20=35
Exploring Operation: 18-15=3, Resulting Numbers: [20, 3]
Generated Node #0,4,2: 17:[20, 3] Operation: 18-15=3
Exploring Operation: 15+18=33, Resulting Numbers: [20, 33]
Generated Node #0,4,3: 17:[20, 33] Operation: 15+18=33
Exploring Operation: 20-18=2, Resulting Numbers: [15, 2]
Generated Node #0,4,4: 17:[15, 2] Operation: 20-18=2
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 17:[18, 5], Operations: ['39-21=18', '20-15=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,17 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,17 unequal: No Solution
No 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: 17:[20, 3], Operations: ['39-21=18', '18-15=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,17 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[15, 39, 21, 20], Operations: []
Exploring Operation: 39-21=18, Resulting Numbers: [15, 20, 18]
Generated Node #0,4: 17:[15, 20, 18] Operation: 39-21=18
Moving to Node #0,4
Current State: 17:[15, 20, 18], Operations: ['39-21=18']
Exploring Operation: 18-15=3, Resulting Numbers: [20, 3]
Generated Node #0,4,2: 17:[20, 3] Operation: 18-15=3
Moving to Node #0,4,2
Current State: 17:[20, 3], Operations: ['39-21=18', '18-15=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
11,
23,
1,
83
] | 48 | [
"11+23=34",
"83-1=82",
"82-34=48"
] | Current State: 48:[11, 23, 1, 83], Operations: []
Exploring Operation: 11+23=34, Resulting Numbers: [1, 83, 34]
Generated Node #2: [1, 83, 34] from Operation: 11+23=34
Current State: 48:[1, 83, 34], Operations: ['11+23=34']
Exploring Operation: 83-1=82, Resulting Numbers: [34, 82]
Generated Node #3: [34, 82] from Operation: 83-1=82
Current State: 48:[34, 82], Operations: ['11+23=34', '83-1=82']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[11, 23, 1, 83], Operations: []
Exploring Operation: 83-11=72, Resulting Numbers: [23, 1, 72]
Generated Node #0,0: 48:[23, 1, 72] Operation: 83-11=72
Exploring Operation: 83-23=60, Resulting Numbers: [11, 1, 60]
Generated Node #0,1: 48:[11, 1, 60] Operation: 83-23=60
Exploring Operation: 23+1=24, Resulting Numbers: [11, 83, 24]
Generated Node #0,2: 48:[11, 83, 24] Operation: 23+1=24
Exploring Operation: 23-11=12, Resulting Numbers: [1, 83, 12]
Generated Node #0,3: 48:[1, 83, 12] Operation: 23-11=12
Exploring Operation: 11+1=12, Resulting Numbers: [23, 83, 12]
Generated Node #0,4: 48:[23, 83, 12] Operation: 11+1=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[11, 1, 60], Operations: ['83-23=60']
Exploring Operation: 11*1=11, Resulting Numbers: [60, 11]
Generated Node #0,1,0: 48:[60, 11] Operation: 11*1=11
Exploring Operation: 11/1=11, Resulting Numbers: [60, 11]
Generated Node #0,1,1: 48:[60, 11] Operation: 11/1=11
Exploring Operation: 60-11=49, Resulting Numbers: [1, 49]
Generated Node #0,1,2: 48:[1, 49] Operation: 60-11=49
Exploring Operation: 11+1=12, Resulting Numbers: [60, 12]
Generated Node #0,1,3: 48:[60, 12] Operation: 11+1=12
Exploring Operation: 60-1=59, Resulting Numbers: [11, 59]
Generated Node #0,1,4: 48:[11, 59] Operation: 60-1=59
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 48:[1, 49], Operations: ['83-23=60', '60-11=49']
Exploring Operation: 1*49=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[11, 23, 1, 83], Operations: []
Exploring Operation: 83-23=60, Resulting Numbers: [11, 1, 60]
Generated Node #0,1: 48:[11, 1, 60] Operation: 83-23=60
Moving to Node #0,1
Current State: 48:[11, 1, 60], Operations: ['83-23=60']
Exploring Operation: 60-11=49, Resulting Numbers: [1, 49]
Generated Node #0,1,2: 48:[1, 49] Operation: 60-11=49
Moving to Node #0,1,2
Current State: 48:[1, 49], Operations: ['83-23=60', '60-11=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
22,
15,
28,
35
] | 49 | [
"22-15=7",
"35-28=7",
"7*7=49"
] | Current State: 49:[22, 15, 28, 35], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [28, 35, 7]
Generated Node #2: [28, 35, 7] from Operation: 22-15=7
Current State: 49:[28, 35, 7], Operations: ['22-15=7']
Exploring Operation: 35-28=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 35-28=7
Current State: 49:[7, 7], Operations: ['22-15=7', '35-28=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[22, 15, 28, 35], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [15, 35, 6]
Generated Node #0,0: 49:[15, 35, 6] Operation: 28-22=6
Exploring Operation: 35-28=7, Resulting Numbers: [22, 15, 7]
Generated Node #0,1: 49:[22, 15, 7] Operation: 35-28=7
Exploring Operation: 22+28=50, Resulting Numbers: [15, 35, 50]
Generated Node #0,2: 49:[15, 35, 50] Operation: 22+28=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[15, 35, 6], Operations: ['28-22=6']
Exploring Operation: 15+35=50, Resulting Numbers: [6, 50]
Generated Node #0,0,0: 49:[6, 50] Operation: 15+35=50
Exploring Operation: 15-6=9, Resulting Numbers: [35, 9]
Generated Node #0,0,1: 49:[35, 9] Operation: 15-6=9
Exploring Operation: 35-15=20, Resulting Numbers: [6, 20]
Generated Node #0,0,2: 49:[6, 20] Operation: 35-15=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[6, 50], Operations: ['28-22=6', '15+35=50']
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,49 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 #0,0,2
Current State: 49:[6, 20], Operations: ['28-22=6', '35-15=20']
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,49 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 20-6=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 #0,0,1
Current State: 49:[35, 9], Operations: ['28-22=6', '15-6=9']
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,49 unequal: No Solution
Exploring Operation: 35*9=315, Resulting Numbers: [315]
315,49 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 #0,1
Current State: 49:[22, 15, 7], Operations: ['35-28=7']
Exploring Operation: 22+15=37, Resulting Numbers: [7, 37]
Generated Node #0,1,0: 49:[7, 37] Operation: 22+15=37
Exploring Operation: 22-15=7, Resulting Numbers: [7, 7]
Generated Node #0,1,1: 49:[7, 7] Operation: 22-15=7
Exploring Operation: 22-7=15, Resulting Numbers: [15, 15]
Generated Node #0,1,2: 49:[15, 15] Operation: 22-7=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[7, 7], Operations: ['35-28=7', '22-15=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[22, 15, 28, 35], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [22, 15, 7]
Generated Node #0,1: 49:[22, 15, 7] Operation: 35-28=7
Moving to Node #0,1
Current State: 49:[22, 15, 7], Operations: ['35-28=7']
Exploring Operation: 22-15=7, Resulting Numbers: [7, 7]
Generated Node #0,1,1: 49:[7, 7] Operation: 22-15=7
Moving to Node #0,1,1
Current State: 49:[7, 7], Operations: ['35-28=7', '22-15=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
4,
65,
77,
12
] | 96 | [
"4+65=69",
"77-69=8",
"12*8=96"
] | Current State: 96:[4, 65, 77, 12], Operations: []
Exploring Operation: 4+65=69, Resulting Numbers: [77, 12, 69]
Generated Node #2: [77, 12, 69] from Operation: 4+65=69
Current State: 96:[77, 12, 69], Operations: ['4+65=69']
Exploring Operation: 77-69=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 77-69=8
Current State: 96:[12, 8], Operations: ['4+65=69', '77-69=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[4, 65, 77, 12], Operations: []
Exploring Operation: 77+12=89, Resulting Numbers: [4, 65, 89]
Generated Node #0,0: 96:[4, 65, 89] Operation: 77+12=89
Exploring Operation: 65-12=53, Resulting Numbers: [4, 77, 53]
Generated Node #0,1: 96:[4, 77, 53] Operation: 65-12=53
Exploring Operation: 77-65=12, Resulting Numbers: [4, 12, 12]
Generated Node #0,2: 96:[4, 12, 12] Operation: 77-65=12
Moving to Node #0,2
Current State: 96:[4, 12, 12], Operations: ['77-65=12']
Exploring Operation: 4*12=48, Resulting Numbers: [12, 48]
Generated Node #0,2,0: 96:[12, 48] Operation: 4*12=48
Exploring Operation: 12-4=8, Resulting Numbers: [12, 8]
Generated Node #0,2,1: 96:[12, 8] Operation: 12-4=8
Exploring Operation: 4+12=16, Resulting Numbers: [12, 16]
Generated Node #0,2,2: 96:[12, 16] Operation: 4+12=16
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[12, 48], Operations: ['77-65=12', '4*12=48']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,96 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,96 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 #0,2,1
Current State: 96:[12, 8], Operations: ['77-65=12', '12-4=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[4, 65, 77, 12], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [4, 12, 12]
Generated Node #0,2: 96:[4, 12, 12] Operation: 77-65=12
Moving to Node #0,2
Current State: 96:[4, 12, 12], Operations: ['77-65=12']
Exploring Operation: 12-4=8, Resulting Numbers: [12, 8]
Generated Node #0,2,1: 96:[12, 8] Operation: 12-4=8
Moving to Node #0,2,1
Current State: 96:[12, 8], Operations: ['77-65=12', '12-4=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
79,
22,
78,
69
] | 46 | [
"79+22=101",
"78+69=147",
"147-101=46"
] | Current State: 46:[79, 22, 78, 69], Operations: []
Exploring Operation: 79+22=101, Resulting Numbers: [78, 69, 101]
Generated Node #2: [78, 69, 101] from Operation: 79+22=101
Current State: 46:[78, 69, 101], Operations: ['79+22=101']
Exploring Operation: 78+69=147, Resulting Numbers: [101, 147]
Generated Node #3: [101, 147] from Operation: 78+69=147
Current State: 46:[101, 147], Operations: ['79+22=101', '78+69=147']
Exploring Operation: 147-101=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[79, 22, 78, 69], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [22, 78, 10]
Generated Node #0,0: 46:[22, 78, 10] Operation: 79-69=10
Exploring Operation: 79-22=57, Resulting Numbers: [78, 69, 57]
Generated Node #0,1: 46:[78, 69, 57] Operation: 79-22=57
Exploring Operation: 79-78=1, Resulting Numbers: [22, 69, 1]
Generated Node #0,2: 46:[22, 69, 1] Operation: 79-78=1
Exploring Operation: 78-69=9, Resulting Numbers: [79, 22, 9]
Generated Node #0,3: 46:[79, 22, 9] Operation: 78-69=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[22, 69, 1], Operations: ['79-78=1']
Exploring Operation: 22*1=22, Resulting Numbers: [69, 22]
Generated Node #0,2,0: 46:[69, 22] Operation: 22*1=22
Exploring Operation: 69-22=47, Resulting Numbers: [1, 47]
Generated Node #0,2,1: 46:[1, 47] Operation: 69-22=47
Exploring Operation: 22+1=23, Resulting Numbers: [69, 23]
Generated Node #0,2,2: 46:[69, 23] Operation: 22+1=23
Exploring Operation: 69-1=68, Resulting Numbers: [22, 68]
Generated Node #0,2,3: 46:[22, 68] Operation: 69-1=68
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[1, 47], Operations: ['79-78=1', '69-22=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[79, 22, 78, 69], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [22, 69, 1]
Generated Node #0,2: 46:[22, 69, 1] Operation: 79-78=1
Moving to Node #0,2
Current State: 46:[22, 69, 1], Operations: ['79-78=1']
Exploring Operation: 69-22=47, Resulting Numbers: [1, 47]
Generated Node #0,2,1: 46:[1, 47] Operation: 69-22=47
Moving to Node #0,2,1
Current State: 46:[1, 47], Operations: ['79-78=1', '69-22=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
49,
31,
33,
51
] | 32 | [
"51-49=2",
"31+33=64",
"64/2=32"
] | Current State: 32:[49, 31, 33, 51], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [31, 33, 2]
Generated Node #2: [31, 33, 2] from Operation: 51-49=2
Current State: 32:[31, 33, 2], Operations: ['51-49=2']
Exploring Operation: 31+33=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 31+33=64
Current State: 32:[2, 64], Operations: ['51-49=2', '31+33=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[49, 31, 33, 51], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [31, 33, 2]
Generated Node #0,0: 32:[31, 33, 2] Operation: 51-49=2
Exploring Operation: 49-33=16, Resulting Numbers: [31, 51, 16]
Generated Node #0,1: 32:[31, 51, 16] Operation: 49-33=16
Moving to Node #0,0
Current State: 32:[31, 33, 2], Operations: ['51-49=2']
Exploring Operation: 33-31=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 32:[2, 2] Operation: 33-31=2
Exploring Operation: 31+2=33, Resulting Numbers: [33, 33]
Generated Node #0,0,1: 32:[33, 33] Operation: 31+2=33
Moving to Node #0,1
Current State: 32:[31, 51, 16], Operations: ['49-33=16']
Exploring Operation: 51-16=35, Resulting Numbers: [31, 35]
Generated Node #0,1,0: 32:[31, 35] Operation: 51-16=35
Exploring Operation: 51-31=20, Resulting Numbers: [16, 20]
Generated Node #0,1,1: 32:[16, 20] Operation: 51-31=20
Moving to Node #0,0,0
Current State: 32:[2, 2], Operations: ['51-49=2', '33-31=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[33, 33], Operations: ['51-49=2', '31+2=33']
Exploring Operation: 33-33=0, Resulting Numbers: [0]
0,32 unequal: No Solution
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[16, 20], Operations: ['49-33=16', '51-31=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,32 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[31, 35], Operations: ['49-33=16', '51-16=35']
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 31+35=66, Resulting Numbers: [66]
66,32 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
55,
30,
27,
16
] | 74 | [
"55+30=85",
"27-16=11",
"85-11=74"
] | Current State: 74:[55, 30, 27, 16], Operations: []
Exploring Operation: 55+30=85, Resulting Numbers: [27, 16, 85]
Generated Node #2: [27, 16, 85] from Operation: 55+30=85
Current State: 74:[27, 16, 85], Operations: ['55+30=85']
Exploring Operation: 27-16=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 27-16=11
Current State: 74:[85, 11], Operations: ['55+30=85', '27-16=11']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[55, 30, 27, 16], Operations: []
Exploring Operation: 55+16=71, Resulting Numbers: [30, 27, 71]
Generated Node #0,0: 74:[30, 27, 71] Operation: 55+16=71
Exploring Operation: 55+27=82, Resulting Numbers: [30, 16, 82]
Generated Node #0,1: 74:[30, 16, 82] Operation: 55+27=82
Exploring Operation: 55-27=28, Resulting Numbers: [30, 16, 28]
Generated Node #0,2: 74:[30, 16, 28] Operation: 55-27=28
Exploring Operation: 55-16=39, Resulting Numbers: [30, 27, 39]
Generated Node #0,3: 74:[30, 27, 39] Operation: 55-16=39
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[30, 27, 39], Operations: ['55-16=39']
Exploring Operation: 30+39=69, Resulting Numbers: [27, 69]
Generated Node #0,3,0: 74:[27, 69] Operation: 30+39=69
Exploring Operation: 39-30=9, Resulting Numbers: [27, 9]
Generated Node #0,3,1: 74:[27, 9] Operation: 39-30=9
Exploring Operation: 27+39=66, Resulting Numbers: [30, 66]
Generated Node #0,3,2: 74:[30, 66] Operation: 27+39=66
Exploring Operation: 30-27=3, Resulting Numbers: [39, 3]
Generated Node #0,3,3: 74:[39, 3] Operation: 30-27=3
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 74:[39, 3], Operations: ['55-16=39', '30-27=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,74 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,74 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 74:[27, 69], Operations: ['55-16=39', '30+39=69']
Exploring Operation: 27+69=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 27*69=1863, Resulting Numbers: [1863]
1863,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 74:[30, 66], Operations: ['55-16=39', '27+39=66']
Exploring Operation: 30+66=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,74 unequal: No Solution
Exploring Operation: 30*66=1980, Resulting Numbers: [1980]
1980,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 74:[27, 9], Operations: ['55-16=39', '39-30=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,74 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,74 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[30, 27, 71], Operations: ['55+16=71']
Exploring Operation: 71-30=41, Resulting Numbers: [27, 41]
Generated Node #0,0,0: 74:[27, 41] Operation: 71-30=41
Exploring Operation: 71-27=44, Resulting Numbers: [30, 44]
Generated Node #0,0,1: 74:[30, 44] Operation: 71-27=44
Exploring Operation: 30+27=57, Resulting Numbers: [71, 57]
Generated Node #0,0,2: 74:[71, 57] Operation: 30+27=57
Exploring Operation: 30-27=3, Resulting Numbers: [71, 3]
Generated Node #0,0,3: 74:[71, 3] Operation: 30-27=3
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[71, 3], Operations: ['55+16=71', '30-27=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[55, 30, 27, 16], Operations: []
Exploring Operation: 55+16=71, Resulting Numbers: [30, 27, 71]
Generated Node #0,0: 74:[30, 27, 71] Operation: 55+16=71
Moving to Node #0,0
Current State: 74:[30, 27, 71], Operations: ['55+16=71']
Exploring Operation: 30-27=3, Resulting Numbers: [71, 3]
Generated Node #0,0,3: 74:[71, 3] Operation: 30-27=3
Moving to Node #0,0,3
Current State: 74:[71, 3], Operations: ['55+16=71', '30-27=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
56,
46,
49,
48
] | 11 | [
"56-46=10",
"49-48=1",
"10+1=11"
] | Current State: 11:[56, 46, 49, 48], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [49, 48, 10]
Generated Node #2: [49, 48, 10] from Operation: 56-46=10
Current State: 11:[49, 48, 10], Operations: ['56-46=10']
Exploring Operation: 49-48=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 49-48=1
Current State: 11:[10, 1], Operations: ['56-46=10', '49-48=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[56, 46, 49, 48], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [46, 48, 7]
Generated Node #0,0: 11:[46, 48, 7] Operation: 56-49=7
Exploring Operation: 56-46=10, Resulting Numbers: [49, 48, 10]
Generated Node #0,1: 11:[49, 48, 10] Operation: 56-46=10
Exploring Operation: 49-46=3, Resulting Numbers: [56, 48, 3]
Generated Node #0,2: 11:[56, 48, 3] Operation: 49-46=3
Exploring Operation: 56-48=8, Resulting Numbers: [46, 49, 8]
Generated Node #0,3: 11:[46, 49, 8] Operation: 56-48=8
Moving to Node #0,0
Current State: 11:[46, 48, 7], Operations: ['56-49=7']
Exploring Operation: 48-46=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 11:[7, 2] Operation: 48-46=2
Exploring Operation: 46-7=39, Resulting Numbers: [48, 39]
Generated Node #0,0,1: 11:[48, 39] Operation: 46-7=39
Exploring Operation: 46+7=53, Resulting Numbers: [48, 53]
Generated Node #0,0,2: 11:[48, 53] Operation: 46+7=53
Exploring Operation: 48-7=41, Resulting Numbers: [46, 41]
Generated Node #0,0,3: 11:[46, 41] Operation: 48-7=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[7, 2], Operations: ['56-49=7', '48-46=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[48, 39], Operations: ['56-49=7', '46-7=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 48*39=1872, Resulting Numbers: [1872]
1872,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[46, 41], Operations: ['56-49=7', '48-7=41']
Exploring Operation: 46*41=1886, Resulting Numbers: [1886]
1886,11 unequal: No Solution
Exploring Operation: 46+41=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 46-41=5, Resulting Numbers: [5]
5,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[48, 53], Operations: ['56-49=7', '46+7=53']
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,11 unequal: No Solution
Exploring Operation: 48*53=2544, Resulting Numbers: [2544]
2544,11 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: 11:[46, 49, 8], Operations: ['56-48=8']
Exploring Operation: 49-8=41, Resulting Numbers: [46, 41]
Generated Node #0,3,0: 11:[46, 41] Operation: 49-8=41
Exploring Operation: 49-46=3, Resulting Numbers: [8, 3]
Generated Node #0,3,1: 11:[8, 3] Operation: 49-46=3
Exploring Operation: 46-8=38, Resulting Numbers: [49, 38]
Generated Node #0,3,2: 11:[49, 38] Operation: 46-8=38
Exploring Operation: 46+8=54, Resulting Numbers: [49, 54]
Generated Node #0,3,3: 11:[49, 54] Operation: 46+8=54
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[8, 3], Operations: ['56-48=8', '49-46=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[56, 46, 49, 48], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [46, 49, 8]
Generated Node #0,3: 11:[46, 49, 8] Operation: 56-48=8
Moving to Node #0,3
Current State: 11:[46, 49, 8], Operations: ['56-48=8']
Exploring Operation: 49-46=3, Resulting Numbers: [8, 3]
Generated Node #0,3,1: 11:[8, 3] Operation: 49-46=3
Moving to Node #0,3,1
Current State: 11:[8, 3], Operations: ['56-48=8', '49-46=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
3,
86,
83,
59
] | 78 | [
"83-59=24",
"24/3=8",
"86-8=78"
] | Current State: 78:[3, 86, 83, 59], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [3, 86, 24]
Generated Node #2: [3, 86, 24] from Operation: 83-59=24
Current State: 78:[3, 86, 24], Operations: ['83-59=24']
Exploring Operation: 24/3=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 24/3=8
Current State: 78:[86, 8], Operations: ['83-59=24', '24/3=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[3, 86, 83, 59], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [3, 59, 3]
Generated Node #0,0: 78:[3, 59, 3] Operation: 86-83=3
Exploring Operation: 86-59=27, Resulting Numbers: [3, 83, 27]
Generated Node #0,1: 78:[3, 83, 27] Operation: 86-59=27
Exploring Operation: 83-59=24, Resulting Numbers: [3, 86, 24]
Generated Node #0,2: 78:[3, 86, 24] Operation: 83-59=24
Exploring Operation: 86-3=83, Resulting Numbers: [83, 59, 83]
Generated Node #0,3: 78:[83, 59, 83] Operation: 86-3=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[3, 83, 27], Operations: ['86-59=27']
Exploring Operation: 3*27=81, Resulting Numbers: [83, 81]
Generated Node #0,1,0: 78:[83, 81] Operation: 3*27=81
Exploring Operation: 27/3=9, Resulting Numbers: [83, 9]
Generated Node #0,1,1: 78:[83, 9] Operation: 27/3=9
Exploring Operation: 27-3=24, Resulting Numbers: [83, 24]
Generated Node #0,1,2: 78:[83, 24] Operation: 27-3=24
Exploring Operation: 83-3=80, Resulting Numbers: [27, 80]
Generated Node #0,1,3: 78:[27, 80] Operation: 83-3=80
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 78:[27, 80], Operations: ['86-59=27', '83-3=80']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 27*80=2160, Resulting Numbers: [2160]
2160,78 unequal: No Solution
Exploring Operation: 27+80=107, Resulting Numbers: [107]
107,78 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:[83, 24], Operations: ['86-59=27', '27-3=24']
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,78 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,78 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 #0,1,0
Current State: 78:[83, 81], Operations: ['86-59=27', '3*27=81']
Exploring Operation: 83*81=6723, Resulting Numbers: [6723]
6723,78 unequal: No Solution
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 83+81=164, Resulting Numbers: [164]
164,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[83, 9], Operations: ['86-59=27', '27/3=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,78 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,78 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:[3, 86, 24], Operations: ['83-59=24']
Exploring Operation: 24/3=8, Resulting Numbers: [86, 8]
Generated Node #0,2,0: 78:[86, 8] Operation: 24/3=8
Exploring Operation: 86-3=83, Resulting Numbers: [24, 83]
Generated Node #0,2,1: 78:[24, 83] Operation: 86-3=83
Exploring Operation: 3+24=27, Resulting Numbers: [86, 27]
Generated Node #0,2,2: 78:[86, 27] Operation: 3+24=27
Exploring Operation: 3+86=89, Resulting Numbers: [24, 89]
Generated Node #0,2,3: 78:[24, 89] Operation: 3+86=89
Moving to Node #0,2,1
Current State: 78:[24, 83], Operations: ['83-59=24', '86-3=83']
Exploring Operation: 24*83=1992, Resulting Numbers: [1992]
1992,78 unequal: No Solution
Exploring Operation: 24+83=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[86, 27], Operations: ['83-59=24', '3+24=27']
Exploring Operation: 86+27=113, Resulting Numbers: [113]
113,78 unequal: No Solution
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 86*27=2322, Resulting Numbers: [2322]
2322,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[86, 8], Operations: ['83-59=24', '24/3=8']
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,78 unequal: No Solution
Exploring Operation: 86*8=688, Resulting Numbers: [688]
688,78 unequal: No Solution
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[3, 86, 83, 59], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [3, 86, 24]
Generated Node #0,2: 78:[3, 86, 24] Operation: 83-59=24
Moving to Node #0,2
Current State: 78:[3, 86, 24], Operations: ['83-59=24']
Exploring Operation: 24/3=8, Resulting Numbers: [86, 8]
Generated Node #0,2,0: 78:[86, 8] Operation: 24/3=8
Moving to Node #0,2,0
Current State: 78:[86, 8], Operations: ['83-59=24', '24/3=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | mult_heuristic |
[
24,
76,
87,
15
] | 20 | [
"76-24=52",
"87-15=72",
"72-52=20"
] | Current State: 20:[24, 76, 87, 15], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [87, 15, 52]
Generated Node #2: [87, 15, 52] from Operation: 76-24=52
Current State: 20:[87, 15, 52], Operations: ['76-24=52']
Exploring Operation: 87-15=72, Resulting Numbers: [52, 72]
Generated Node #3: [52, 72] from Operation: 87-15=72
Current State: 20:[52, 72], Operations: ['76-24=52', '87-15=72']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[24, 76, 87, 15], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [87, 15, 52]
Generated Node #0,0: 20:[87, 15, 52] Operation: 76-24=52
Exploring Operation: 87-76=11, Resulting Numbers: [24, 15, 11]
Generated Node #0,1: 20:[24, 15, 11] Operation: 87-76=11
Exploring Operation: 76-15=61, Resulting Numbers: [24, 87, 61]
Generated Node #0,2: 20:[24, 87, 61] Operation: 76-15=61
Exploring Operation: 87-24=63, Resulting Numbers: [76, 15, 63]
Generated Node #0,3: 20:[76, 15, 63] Operation: 87-24=63
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[24, 15, 11], Operations: ['87-76=11']
Exploring Operation: 24-11=13, Resulting Numbers: [15, 13]
Generated Node #0,1,0: 20:[15, 13] Operation: 24-11=13
Exploring Operation: 24-15=9, Resulting Numbers: [11, 9]
Generated Node #0,1,1: 20:[11, 9] Operation: 24-15=9
Exploring Operation: 15-11=4, Resulting Numbers: [24, 4]
Generated Node #0,1,2: 20:[24, 4] Operation: 15-11=4
Exploring Operation: 15+11=26, Resulting Numbers: [24, 26]
Generated Node #0,1,3: 20:[24, 26] Operation: 15+11=26
Moving to Node #0,1,1
Current State: 20:[11, 9], Operations: ['87-76=11', '24-15=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[24, 76, 87, 15], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [24, 15, 11]
Generated Node #0,1: 20:[24, 15, 11] Operation: 87-76=11
Moving to Node #0,1
Current State: 20:[24, 15, 11], Operations: ['87-76=11']
Exploring Operation: 24-15=9, Resulting Numbers: [11, 9]
Generated Node #0,1,1: 20:[11, 9] Operation: 24-15=9
Moving to Node #0,1,1
Current State: 20:[11, 9], Operations: ['87-76=11', '24-15=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
84,
61,
87,
43
] | 21 | [
"84-61=23",
"87-43=44",
"44-23=21"
] | Current State: 21:[84, 61, 87, 43], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [87, 43, 23]
Generated Node #2: [87, 43, 23] from Operation: 84-61=23
Current State: 21:[87, 43, 23], Operations: ['84-61=23']
Exploring Operation: 87-43=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 87-43=44
Current State: 21:[23, 44], Operations: ['84-61=23', '87-43=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[84, 61, 87, 43], Operations: []
Exploring Operation: 84-43=41, Resulting Numbers: [61, 87, 41]
Generated Node #0,0: 21:[61, 87, 41] Operation: 84-43=41
Exploring Operation: 87-61=26, Resulting Numbers: [84, 43, 26]
Generated Node #0,1: 21:[84, 43, 26] Operation: 87-61=26
Exploring Operation: 84-61=23, Resulting Numbers: [87, 43, 23]
Generated Node #0,2: 21:[87, 43, 23] Operation: 84-61=23
Exploring Operation: 87-43=44, Resulting Numbers: [84, 61, 44]
Generated Node #0,3: 21:[84, 61, 44] Operation: 87-43=44
Exploring Operation: 87-84=3, Resulting Numbers: [61, 43, 3]
Generated Node #0,4: 21:[61, 43, 3] Operation: 87-84=3
Moving to Node #0,4
Current State: 21:[61, 43, 3], Operations: ['87-84=3']
Exploring Operation: 43+3=46, Resulting Numbers: [61, 46]
Generated Node #0,4,0: 21:[61, 46] Operation: 43+3=46
Exploring Operation: 61+3=64, Resulting Numbers: [43, 64]
Generated Node #0,4,1: 21:[43, 64] Operation: 61+3=64
Exploring Operation: 61-3=58, Resulting Numbers: [43, 58]
Generated Node #0,4,2: 21:[43, 58] Operation: 61-3=58
Exploring Operation: 43-3=40, Resulting Numbers: [61, 40]
Generated Node #0,4,3: 21:[61, 40] Operation: 43-3=40
Exploring Operation: 61-43=18, Resulting Numbers: [3, 18]
Generated Node #0,4,4: 21:[3, 18] Operation: 61-43=18
Moving to Node #0,2
Current State: 21:[87, 43, 23], Operations: ['84-61=23']
Exploring Operation: 87-23=64, Resulting Numbers: [43, 64]
Generated Node #0,2,0: 21:[43, 64] Operation: 87-23=64
Exploring Operation: 87+23=110, Resulting Numbers: [43, 110]
Generated Node #0,2,1: 21:[43, 110] Operation: 87+23=110
Exploring Operation: 87-43=44, Resulting Numbers: [23, 44]
Generated Node #0,2,2: 21:[23, 44] Operation: 87-43=44
Exploring Operation: 43-23=20, Resulting Numbers: [87, 20]
Generated Node #0,2,3: 21:[87, 20] Operation: 43-23=20
Exploring Operation: 87+43=130, Resulting Numbers: [23, 130]
Generated Node #0,2,4: 21:[23, 130] Operation: 87+43=130
Moving to Node #0,1
Current State: 21:[84, 43, 26], Operations: ['87-61=26']
Exploring Operation: 84-43=41, Resulting Numbers: [26, 41]
Generated Node #0,1,0: 21:[26, 41] Operation: 84-43=41
Exploring Operation: 43-26=17, Resulting Numbers: [84, 17]
Generated Node #0,1,1: 21:[84, 17] Operation: 43-26=17
Exploring Operation: 84+43=127, Resulting Numbers: [26, 127]
Generated Node #0,1,2: 21:[26, 127] Operation: 84+43=127
Exploring Operation: 84+26=110, Resulting Numbers: [43, 110]
Generated Node #0,1,3: 21:[43, 110] Operation: 84+26=110
Exploring Operation: 84-26=58, Resulting Numbers: [43, 58]
Generated Node #0,1,4: 21:[43, 58] Operation: 84-26=58
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[26, 41], Operations: ['87-61=26', '84-43=41']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,21 unequal: No Solution
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 21:[43, 58], Operations: ['87-61=26', '84-26=58']
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 43*58=2494, Resulting Numbers: [2494]
2494,21 unequal: No Solution
Exploring Operation: 43+58=101, Resulting Numbers: [101]
101,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[84, 17], Operations: ['87-61=26', '43-26=17']
Exploring Operation: 84*17=1428, Resulting Numbers: [1428]
1428,21 unequal: No Solution
Exploring Operation: 84-17=67, Resulting Numbers: [67]
67,21 unequal: No Solution
Exploring Operation: 84+17=101, Resulting Numbers: [101]
101,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[26, 127], Operations: ['87-61=26', '84+43=127']
Exploring Operation: 127-26=101, Resulting Numbers: [101]
101,21 unequal: No Solution
Exploring Operation: 26*127=3302, Resulting Numbers: [3302]
3302,21 unequal: No Solution
Exploring Operation: 26+127=153, Resulting Numbers: [153]
153,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 21:[43, 110], Operations: ['87-61=26', '84+26=110']
Exploring Operation: 110-43=67, Resulting Numbers: [67]
67,21 unequal: No Solution
Exploring Operation: 43+110=153, Resulting Numbers: [153]
153,21 unequal: No Solution
Exploring Operation: 43*110=4730, Resulting Numbers: [4730]
4730,21 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: 21:[61, 87, 41], Operations: ['84-43=41']
Exploring Operation: 87-61=26, Resulting Numbers: [41, 26]
Generated Node #0,0,0: 21:[41, 26] Operation: 87-61=26
Exploring Operation: 61-41=20, Resulting Numbers: [87, 20]
Generated Node #0,0,1: 21:[87, 20] Operation: 61-41=20
Exploring Operation: 61+87=148, Resulting Numbers: [41, 148]
Generated Node #0,0,2: 21:[41, 148] Operation: 61+87=148
Exploring Operation: 87-41=46, Resulting Numbers: [61, 46]
Generated Node #0,0,3: 21:[61, 46] Operation: 87-41=46
Exploring Operation: 61+41=102, Resulting Numbers: [87, 102]
Generated Node #0,0,4: 21:[87, 102] Operation: 61+41=102
Moving to Node #0,3
Current State: 21:[84, 61, 44], Operations: ['87-43=44']
Exploring Operation: 61-44=17, Resulting Numbers: [84, 17]
Generated Node #0,3,0: 21:[84, 17] Operation: 61-44=17
Exploring Operation: 84-61=23, Resulting Numbers: [44, 23]
Generated Node #0,3,1: 21:[44, 23] Operation: 84-61=23
Exploring Operation: 84+61=145, Resulting Numbers: [44, 145]
Generated Node #0,3,2: 21:[44, 145] Operation: 84+61=145
Exploring Operation: 84-44=40, Resulting Numbers: [61, 40]
Generated Node #0,3,3: 21:[61, 40] Operation: 84-44=40
Exploring Operation: 84+44=128, Resulting Numbers: [61, 128]
Generated Node #0,3,4: 21:[61, 128] Operation: 84+44=128
Moving to Node #0,4,4
Current State: 21:[3, 18], Operations: ['87-84=3', '61-43=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,21 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[84, 61, 87, 43], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [61, 43, 3]
Generated Node #0,4: 21:[61, 43, 3] Operation: 87-84=3
Moving to Node #0,4
Current State: 21:[61, 43, 3], Operations: ['87-84=3']
Exploring Operation: 61-43=18, Resulting Numbers: [3, 18]
Generated Node #0,4,4: 21:[3, 18] Operation: 61-43=18
Moving to Node #0,4,4
Current State: 21:[3, 18], Operations: ['87-84=3', '61-43=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
78,
25,
53,
76
] | 77 | [
"78-25=53",
"53/53=1",
"76+1=77"
] | Current State: 77:[78, 25, 53, 76], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [53, 76, 53]
Generated Node #2: [53, 76, 53] from Operation: 78-25=53
Current State: 77:[53, 76, 53], Operations: ['78-25=53']
Exploring Operation: 53/53=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 53/53=1
Current State: 77:[76, 1], Operations: ['78-25=53', '53/53=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[78, 25, 53, 76], Operations: []
Exploring Operation: 25+53=78, Resulting Numbers: [78, 76, 78]
Generated Node #0,0: 77:[78, 76, 78] Operation: 25+53=78
Exploring Operation: 53-25=28, Resulting Numbers: [78, 76, 28]
Generated Node #0,1: 77:[78, 76, 28] Operation: 53-25=28
Moving to Node #0,0
Current State: 77:[78, 76, 78], Operations: ['25+53=78']
Exploring Operation: 78-76=2, Resulting Numbers: [78, 2]
Generated Node #0,0,0: 77:[78, 2] Operation: 78-76=2
Exploring Operation: 78-76=2, Resulting Numbers: [78, 2]
Generated Node #0,0,1: 77:[78, 2] Operation: 78-76=2
Moving to Node #0,1
Current State: 77:[78, 76, 28], Operations: ['53-25=28']
Exploring Operation: 78-28=50, Resulting Numbers: [76, 50]
Generated Node #0,1,0: 77:[76, 50] Operation: 78-28=50
Exploring Operation: 78-76=2, Resulting Numbers: [28, 2]
Generated Node #0,1,1: 77:[28, 2] Operation: 78-76=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[28, 2], Operations: ['53-25=28', '78-76=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[76, 50], Operations: ['53-25=28', '78-28=50']
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 76+50=126, Resulting Numbers: [126]
126,77 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: 77:[78, 2], Operations: ['25+53=78', '78-76=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[78, 2], Operations: ['25+53=78', '78-76=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,77 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
83,
89,
68,
56
] | 48 | [
"83+89=172",
"68+56=124",
"172-124=48"
] | Current State: 48:[83, 89, 68, 56], Operations: []
Exploring Operation: 83+89=172, Resulting Numbers: [68, 56, 172]
Generated Node #2: [68, 56, 172] from Operation: 83+89=172
Current State: 48:[68, 56, 172], Operations: ['83+89=172']
Exploring Operation: 68+56=124, Resulting Numbers: [172, 124]
Generated Node #3: [172, 124] from Operation: 68+56=124
Current State: 48:[172, 124], Operations: ['83+89=172', '68+56=124']
Exploring Operation: 172-124=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[83, 89, 68, 56], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [68, 56, 6]
Generated Node #0,0: 48:[68, 56, 6] Operation: 89-83=6
Exploring Operation: 83-56=27, Resulting Numbers: [89, 68, 27]
Generated Node #0,1: 48:[89, 68, 27] Operation: 83-56=27
Exploring Operation: 89-56=33, Resulting Numbers: [83, 68, 33]
Generated Node #0,2: 48:[83, 68, 33] Operation: 89-56=33
Exploring Operation: 83-68=15, Resulting Numbers: [89, 56, 15]
Generated Node #0,3: 48:[89, 56, 15] Operation: 83-68=15
Exploring Operation: 89-68=21, Resulting Numbers: [83, 56, 21]
Generated Node #0,4: 48:[83, 56, 21] Operation: 89-68=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[68, 56, 6], Operations: ['89-83=6']
Exploring Operation: 68+6=74, Resulting Numbers: [56, 74]
Generated Node #0,0,0: 48:[56, 74] Operation: 68+6=74
Exploring Operation: 68-56=12, Resulting Numbers: [6, 12]
Generated Node #0,0,1: 48:[6, 12] Operation: 68-56=12
Exploring Operation: 56-6=50, Resulting Numbers: [68, 50]
Generated Node #0,0,2: 48:[68, 50] Operation: 56-6=50
Exploring Operation: 56+6=62, Resulting Numbers: [68, 62]
Generated Node #0,0,3: 48:[68, 62] Operation: 56+6=62
Exploring Operation: 68-6=62, Resulting Numbers: [56, 62]
Generated Node #0,0,4: 48:[56, 62] Operation: 68-6=62
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[6, 12], Operations: ['89-83=6', '68-56=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[68, 50], Operations: ['89-83=6', '56-6=50']
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 68+50=118, Resulting Numbers: [118]
118,48 unequal: No Solution
Exploring Operation: 68*50=3400, Resulting Numbers: [3400]
3400,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 48:[56, 62], Operations: ['89-83=6', '68-6=62']
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,48 unequal: No Solution
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[56, 74], Operations: ['89-83=6', '68+6=74']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 56*74=4144, Resulting Numbers: [4144]
4144,48 unequal: No Solution
Exploring Operation: 56+74=130, Resulting Numbers: [130]
130,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 48:[68, 62], Operations: ['89-83=6', '56+6=62']
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,48 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 48:[83, 56, 21], Operations: ['89-68=21']
Exploring Operation: 56-21=35, Resulting Numbers: [83, 35]
Generated Node #0,4,0: 48:[83, 35] Operation: 56-21=35
Exploring Operation: 83-56=27, Resulting Numbers: [21, 27]
Generated Node #0,4,1: 48:[21, 27] Operation: 83-56=27
Exploring Operation: 56+21=77, Resulting Numbers: [83, 77]
Generated Node #0,4,2: 48:[83, 77] Operation: 56+21=77
Exploring Operation: 83+21=104, Resulting Numbers: [56, 104]
Generated Node #0,4,3: 48:[56, 104] Operation: 83+21=104
Exploring Operation: 83-21=62, Resulting Numbers: [56, 62]
Generated Node #0,4,4: 48:[56, 62] Operation: 83-21=62
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 48:[21, 27], Operations: ['89-68=21', '83-56=27']
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,48 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[83, 89, 68, 56], Operations: []
Exploring Operation: 89-68=21, Resulting Numbers: [83, 56, 21]
Generated Node #0,4: 48:[83, 56, 21] Operation: 89-68=21
Moving to Node #0,4
Current State: 48:[83, 56, 21], Operations: ['89-68=21']
Exploring Operation: 83-56=27, Resulting Numbers: [21, 27]
Generated Node #0,4,1: 48:[21, 27] Operation: 83-56=27
Moving to Node #0,4,1
Current State: 48:[21, 27], Operations: ['89-68=21', '83-56=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
24,
53,
56,
13
] | 72 | [
"53-24=29",
"56-13=43",
"29+43=72"
] | Current State: 72:[24, 53, 56, 13], Operations: []
Exploring Operation: 53-24=29, Resulting Numbers: [56, 13, 29]
Generated Node #2: [56, 13, 29] from Operation: 53-24=29
Current State: 72:[56, 13, 29], Operations: ['53-24=29']
Exploring Operation: 56-13=43, Resulting Numbers: [29, 43]
Generated Node #3: [29, 43] from Operation: 56-13=43
Current State: 72:[29, 43], Operations: ['53-24=29', '56-13=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[24, 53, 56, 13], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [24, 13, 3]
Generated Node #0,0: 72:[24, 13, 3] Operation: 56-53=3
Exploring Operation: 24+53=77, Resulting Numbers: [56, 13, 77]
Generated Node #0,1: 72:[56, 13, 77] Operation: 24+53=77
Exploring Operation: 53-24=29, Resulting Numbers: [56, 13, 29]
Generated Node #0,2: 72:[56, 13, 29] Operation: 53-24=29
Exploring Operation: 56+13=69, Resulting Numbers: [24, 53, 69]
Generated Node #0,3: 72:[24, 53, 69] Operation: 56+13=69
Exploring Operation: 53-13=40, Resulting Numbers: [24, 56, 40]
Generated Node #0,4: 72:[24, 56, 40] Operation: 53-13=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[24, 13, 3], Operations: ['56-53=3']
Exploring Operation: 24-13=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 72:[3, 11] Operation: 24-13=11
Exploring Operation: 24*3=72, Resulting Numbers: [13, 72]
Generated Node #0,0,1: 72:[13, 72] Operation: 24*3=72
Exploring Operation: 24/3=8, Resulting Numbers: [13, 8]
Generated Node #0,0,2: 72:[13, 8] Operation: 24/3=8
Exploring Operation: 24+13=37, Resulting Numbers: [3, 37]
Generated Node #0,0,3: 72:[3, 37] Operation: 24+13=37
Exploring Operation: 13-3=10, Resulting Numbers: [24, 10]
Generated Node #0,0,4: 72:[24, 10] Operation: 13-3=10
Moving to Node #0,0,0
Current State: 72:[3, 11], Operations: ['56-53=3', '24-13=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[13, 8], Operations: ['56-53=3', '24/3=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[24, 10], Operations: ['56-53=3', '13-3=10']
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,72 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[13, 72], Operations: ['56-53=3', '24*3=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,72 unequal: No Solution
Exploring Operation: 13*72=936, Resulting Numbers: [936]
936,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[3, 37], Operations: ['56-53=3', '24+13=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[24, 53, 69], Operations: ['56+13=69']
Exploring Operation: 69-53=16, Resulting Numbers: [24, 16]
Generated Node #0,3,0: 72:[24, 16] Operation: 69-53=16
Exploring Operation: 69-24=45, Resulting Numbers: [53, 45]
Generated Node #0,3,1: 72:[53, 45] Operation: 69-24=45
Exploring Operation: 53-24=29, Resulting Numbers: [69, 29]
Generated Node #0,3,2: 72:[69, 29] Operation: 53-24=29
Exploring Operation: 24+53=77, Resulting Numbers: [69, 77]
Generated Node #0,3,3: 72:[69, 77] Operation: 24+53=77
Exploring Operation: 24+69=93, Resulting Numbers: [53, 93]
Generated Node #0,3,4: 72:[53, 93] Operation: 24+69=93
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 72:[24, 16], Operations: ['56+13=69', '69-53=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,72 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,72 unequal: No Solution
No 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: 72:[69, 29], Operations: ['56+13=69', '53-24=29']
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,72 unequal: No Solution
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,72 unequal: No Solution
No 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: 72:[69, 77], Operations: ['56+13=69', '24+53=77']
Exploring Operation: 69*77=5313, Resulting Numbers: [5313]
5313,72 unequal: No Solution
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,72 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,72 unequal: No Solution
No 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: 72:[53, 45], Operations: ['56+13=69', '69-24=45']
Exploring Operation: 53*45=2385, Resulting Numbers: [2385]
2385,72 unequal: No Solution
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,72 unequal: No Solution
No 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: 72:[53, 93], Operations: ['56+13=69', '24+69=93']
Exploring Operation: 53*93=4929, Resulting Numbers: [4929]
4929,72 unequal: No Solution
Exploring Operation: 53+93=146, Resulting Numbers: [146]
146,72 unequal: No Solution
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,72 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: 72:[24, 56, 40], Operations: ['53-13=40']
Exploring Operation: 56-40=16, Resulting Numbers: [24, 16]
Generated Node #0,4,0: 72:[24, 16] Operation: 56-40=16
Exploring Operation: 24+56=80, Resulting Numbers: [40, 80]
Generated Node #0,4,1: 72:[40, 80] Operation: 24+56=80
Exploring Operation: 56-24=32, Resulting Numbers: [40, 32]
Generated Node #0,4,2: 72:[40, 32] Operation: 56-24=32
Exploring Operation: 24+40=64, Resulting Numbers: [56, 64]
Generated Node #0,4,3: 72:[56, 64] Operation: 24+40=64
Exploring Operation: 40-24=16, Resulting Numbers: [56, 16]
Generated Node #0,4,4: 72:[56, 16] Operation: 40-24=16
Moving to Node #0,4,0
Current State: 72:[24, 16], Operations: ['53-13=40', '56-40=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,72 unequal: No Solution
Moving to Node #0,4,2
Current State: 72:[40, 32], Operations: ['53-13=40', '56-24=32']
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,72 unequal: No Solution
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[24, 53, 56, 13], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [24, 56, 40]
Generated Node #0,4: 72:[24, 56, 40] Operation: 53-13=40
Moving to Node #0,4
Current State: 72:[24, 56, 40], Operations: ['53-13=40']
Exploring Operation: 56-24=32, Resulting Numbers: [40, 32]
Generated Node #0,4,2: 72:[40, 32] Operation: 56-24=32
Moving to Node #0,4,2
Current State: 72:[40, 32], Operations: ['53-13=40', '56-24=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_5 | sum_heuristic |
[
26,
8,
19,
16
] | 16 | [
"26-8=18",
"19-18=1",
"16*1=16"
] | Current State: 16:[26, 8, 19, 16], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [19, 16, 18]
Generated Node #2: [19, 16, 18] from Operation: 26-8=18
Current State: 16:[19, 16, 18], Operations: ['26-8=18']
Exploring Operation: 19-18=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 19-18=1
Current State: 16:[16, 1], Operations: ['26-8=18', '19-18=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[26, 8, 19, 16], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [8, 19, 10]
Generated Node #0,0: 16:[8, 19, 10] Operation: 26-16=10
Exploring Operation: 26-8=18, Resulting Numbers: [19, 16, 18]
Generated Node #0,1: 16:[19, 16, 18] Operation: 26-8=18
Exploring Operation: 19-16=3, Resulting Numbers: [26, 8, 3]
Generated Node #0,2: 16:[26, 8, 3] Operation: 19-16=3
Exploring Operation: 26-19=7, Resulting Numbers: [8, 16, 7]
Generated Node #0,3: 16:[8, 16, 7] Operation: 26-19=7
Moving to Node #0,3
Current State: 16:[8, 16, 7], Operations: ['26-19=7']
Exploring Operation: 8-7=1, Resulting Numbers: [16, 1]
Generated Node #0,3,0: 16:[16, 1] Operation: 8-7=1
Exploring Operation: 8+7=15, Resulting Numbers: [16, 15]
Generated Node #0,3,1: 16:[16, 15] Operation: 8+7=15
Exploring Operation: 16/8=2, Resulting Numbers: [7, 2]
Generated Node #0,3,2: 16:[7, 2] Operation: 16/8=2
Exploring Operation: 16-8=8, Resulting Numbers: [7, 8]
Generated Node #0,3,3: 16:[7, 8] Operation: 16-8=8
Moving to Node #0,1
Current State: 16:[19, 16, 18], Operations: ['26-8=18']
Exploring Operation: 18-16=2, Resulting Numbers: [19, 2]
Generated Node #0,1,0: 16:[19, 2] Operation: 18-16=2
Exploring Operation: 19-18=1, Resulting Numbers: [16, 1]
Generated Node #0,1,1: 16:[16, 1] Operation: 19-18=1
Exploring Operation: 19+16=35, Resulting Numbers: [18, 35]
Generated Node #0,1,2: 16:[18, 35] Operation: 19+16=35
Exploring Operation: 19-16=3, Resulting Numbers: [18, 3]
Generated Node #0,1,3: 16:[18, 3] Operation: 19-16=3
Moving to Node #0,0
Current State: 16:[8, 19, 10], Operations: ['26-16=10']
Exploring Operation: 10-8=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 16:[19, 2] Operation: 10-8=2
Exploring Operation: 8+10=18, Resulting Numbers: [19, 18]
Generated Node #0,0,1: 16:[19, 18] Operation: 8+10=18
Exploring Operation: 19-8=11, Resulting Numbers: [10, 11]
Generated Node #0,0,2: 16:[10, 11] Operation: 19-8=11
Exploring Operation: 19-10=9, Resulting Numbers: [8, 9]
Generated Node #0,0,3: 16:[8, 9] Operation: 19-10=9
Moving to Node #0,2
Current State: 16:[26, 8, 3], Operations: ['19-16=3']
Exploring Operation: 26-8=18, Resulting Numbers: [3, 18]
Generated Node #0,2,0: 16:[3, 18] Operation: 26-8=18
Exploring Operation: 26-3=23, Resulting Numbers: [8, 23]
Generated Node #0,2,1: 16:[8, 23] Operation: 26-3=23
Exploring Operation: 8-3=5, Resulting Numbers: [26, 5]
Generated Node #0,2,2: 16:[26, 5] Operation: 8-3=5
Exploring Operation: 26+3=29, Resulting Numbers: [8, 29]
Generated Node #0,2,3: 16:[8, 29] Operation: 26+3=29
Moving to Node #0,3,0
Current State: 16:[16, 1], Operations: ['26-19=7', '8-7=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[26, 8, 19, 16], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [8, 16, 7]
Generated Node #0,3: 16:[8, 16, 7] Operation: 26-19=7
Moving to Node #0,3
Current State: 16:[8, 16, 7], Operations: ['26-19=7']
Exploring Operation: 8-7=1, Resulting Numbers: [16, 1]
Generated Node #0,3,0: 16:[16, 1] Operation: 8-7=1
Moving to Node #0,3,0
Current State: 16:[16, 1], Operations: ['26-19=7', '8-7=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.978299 | hs_4 | sum_heuristic |
[
73,
35,
48,
23
] | 83 | [
"73+35=108",
"48-23=25",
"108-25=83"
] | Current State: 83:[73, 35, 48, 23], Operations: []
Exploring Operation: 73+35=108, Resulting Numbers: [48, 23, 108]
Generated Node #2: [48, 23, 108] from Operation: 73+35=108
Current State: 83:[48, 23, 108], Operations: ['73+35=108']
Exploring Operation: 48-23=25, Resulting Numbers: [108, 25]
Generated Node #3: [108, 25] from Operation: 48-23=25
Current State: 83:[108, 25], Operations: ['73+35=108', '48-23=25']
Exploring Operation: 108-25=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[73, 35, 48, 23], Operations: []
Exploring Operation: 48+23=71, Resulting Numbers: [73, 35, 71]
Generated Node #0,0: 83:[73, 35, 71] Operation: 48+23=71
Exploring Operation: 35+48=83, Resulting Numbers: [73, 23, 83]
Generated Node #0,1: 83:[73, 23, 83] Operation: 35+48=83
Exploring Operation: 35+23=58, Resulting Numbers: [73, 48, 58]
Generated Node #0,2: 83:[73, 48, 58] Operation: 35+23=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[73, 35, 71], Operations: ['48+23=71']
Exploring Operation: 73-35=38, Resulting Numbers: [71, 38]
Generated Node #0,0,0: 83:[71, 38] Operation: 73-35=38
Exploring Operation: 73+35=108, Resulting Numbers: [71, 108]
Generated Node #0,0,1: 83:[71, 108] Operation: 73+35=108
Exploring Operation: 35+71=106, Resulting Numbers: [73, 106]
Generated Node #0,0,2: 83:[73, 106] Operation: 35+71=106
Moving to Node #0,0,2
Current State: 83:[73, 106], Operations: ['48+23=71', '35+71=106']
Exploring Operation: 73+106=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 73*106=7738, Resulting Numbers: [7738]
7738,83 unequal: No Solution
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[71, 108], Operations: ['48+23=71', '73+35=108']
Exploring Operation: 71*108=7668, Resulting Numbers: [7668]
7668,83 unequal: No Solution
Exploring Operation: 71+108=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 108-71=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[71, 38], Operations: ['48+23=71', '73-35=38']
Exploring Operation: 71*38=2698, Resulting Numbers: [2698]
2698,83 unequal: No Solution
Exploring Operation: 71+38=109, Resulting Numbers: [109]
109,83 unequal: No Solution
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[73, 23, 83], Operations: ['35+48=83']
Exploring Operation: 73-23=50, Resulting Numbers: [83, 50]
Generated Node #0,1,0: 83:[83, 50] Operation: 73-23=50
Exploring Operation: 73+23=96, Resulting Numbers: [83, 96]
Generated Node #0,1,1: 83:[83, 96] Operation: 73+23=96
Exploring Operation: 23+83=106, Resulting Numbers: [73, 106]
Generated Node #0,1,2: 83:[73, 106] Operation: 23+83=106
Moving to Node #0,1,1
Current State: 83:[83, 96], Operations: ['35+48=83', '73+23=96']
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 83*96=7968, Resulting Numbers: [7968]
7968,83 unequal: No Solution
Exploring Operation: 83+96=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[83, 50], Operations: ['35+48=83', '73-23=50']
Exploring Operation: 83*50=4150, Resulting Numbers: [4150]
4150,83 unequal: No Solution
Exploring Operation: 83-50=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 83+50=133, Resulting Numbers: [133]
133,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[73, 106], Operations: ['35+48=83', '23+83=106']
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 73*106=7738, Resulting Numbers: [7738]
7738,83 unequal: No Solution
Exploring Operation: 73+106=179, Resulting Numbers: [179]
179,83 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:[73, 48, 58], Operations: ['35+23=58']
Exploring Operation: 48+58=106, Resulting Numbers: [73, 106]
Generated Node #0,2,0: 83:[73, 106] Operation: 48+58=106
Exploring Operation: 73-48=25, Resulting Numbers: [58, 25]
Generated Node #0,2,1: 83:[58, 25] Operation: 73-48=25
Exploring Operation: 73+48=121, Resulting Numbers: [58, 121]
Generated Node #0,2,2: 83:[58, 121] Operation: 73+48=121
Moving to Node #0,2,0
Current State: 83:[73, 106], Operations: ['35+23=58', '48+58=106']
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 73*106=7738, Resulting Numbers: [7738]
7738,83 unequal: No Solution
Exploring Operation: 73+106=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[58, 121], Operations: ['35+23=58', '73+48=121']
Exploring Operation: 121-58=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 58*121=7018, Resulting Numbers: [7018]
7018,83 unequal: No Solution
Exploring Operation: 58+121=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[58, 25], Operations: ['35+23=58', '73-48=25']
Exploring Operation: 58*25=1450, Resulting Numbers: [1450]
1450,83 unequal: No Solution
Exploring Operation: 58+25=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[73, 35, 48, 23], Operations: []
Exploring Operation: 35+23=58, Resulting Numbers: [73, 48, 58]
Generated Node #0,2: 83:[73, 48, 58] Operation: 35+23=58
Moving to Node #0,2
Current State: 83:[73, 48, 58], Operations: ['35+23=58']
Exploring Operation: 73-48=25, Resulting Numbers: [58, 25]
Generated Node #0,2,1: 83:[58, 25] Operation: 73-48=25
Moving to Node #0,2,1
Current State: 83:[58, 25], Operations: ['35+23=58', '73-48=25']
Exploring Operation: 58+25=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_3 | mult_heuristic |
[
6,
15,
9,
86
] | 76 | [
"6*15=90",
"90/9=10",
"86-10=76"
] | Current State: 76:[6, 15, 9, 86], Operations: []
Exploring Operation: 6*15=90, Resulting Numbers: [9, 86, 90]
Generated Node #2: [9, 86, 90] from Operation: 6*15=90
Current State: 76:[9, 86, 90], Operations: ['6*15=90']
Exploring Operation: 90/9=10, Resulting Numbers: [86, 10]
Generated Node #3: [86, 10] from Operation: 90/9=10
Current State: 76:[86, 10], Operations: ['6*15=90', '90/9=10']
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[6, 15, 9, 86], Operations: []
Exploring Operation: 86-15=71, Resulting Numbers: [6, 9, 71]
Generated Node #0,0: 76:[6, 9, 71] Operation: 86-15=71
Exploring Operation: 86-6=80, Resulting Numbers: [15, 9, 80]
Generated Node #0,1: 76:[15, 9, 80] Operation: 86-6=80
Exploring Operation: 86-9=77, Resulting Numbers: [6, 15, 77]
Generated Node #0,2: 76:[6, 15, 77] Operation: 86-9=77
Exploring Operation: 15-9=6, Resulting Numbers: [6, 86, 6]
Generated Node #0,3: 76:[6, 86, 6] Operation: 15-9=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[6, 15, 77], Operations: ['86-9=77']
Exploring Operation: 15-6=9, Resulting Numbers: [77, 9]
Generated Node #0,2,0: 76:[77, 9] Operation: 15-6=9
Exploring Operation: 6+77=83, Resulting Numbers: [15, 83]
Generated Node #0,2,1: 76:[15, 83] Operation: 6+77=83
Exploring Operation: 6+15=21, Resulting Numbers: [77, 21]
Generated Node #0,2,2: 76:[77, 21] Operation: 6+15=21
Exploring Operation: 77-6=71, Resulting Numbers: [15, 71]
Generated Node #0,2,3: 76:[15, 71] Operation: 77-6=71
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[77, 21], Operations: ['86-9=77', '6+15=21']
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,76 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[77, 9], Operations: ['86-9=77', '15-6=9']
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 77*9=693, Resulting Numbers: [693]
693,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[15, 71], Operations: ['86-9=77', '77-6=71']
Exploring Operation: 15*71=1065, Resulting Numbers: [1065]
1065,76 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[15, 83], Operations: ['86-9=77', '6+77=83']
Exploring Operation: 15*83=1245, Resulting Numbers: [1245]
1245,76 unequal: No Solution
Exploring Operation: 15+83=98, Resulting Numbers: [98]
98,76 unequal: No Solution
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,76 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: 76:[6, 9, 71], Operations: ['86-15=71']
Exploring Operation: 9+71=80, Resulting Numbers: [6, 80]
Generated Node #0,0,0: 76:[6, 80] Operation: 9+71=80
Exploring Operation: 9-6=3, Resulting Numbers: [71, 3]
Generated Node #0,0,1: 76:[71, 3] Operation: 9-6=3
Exploring Operation: 6+71=77, Resulting Numbers: [9, 77]
Generated Node #0,0,2: 76:[9, 77] Operation: 6+71=77
Exploring Operation: 6+9=15, Resulting Numbers: [71, 15]
Generated Node #0,0,3: 76:[71, 15] Operation: 6+9=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[6, 80], Operations: ['86-15=71', '9+71=80']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 6*80=480, Resulting Numbers: [480]
480,76 unequal: No Solution
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[71, 3], Operations: ['86-15=71', '9-6=3']
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,76 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[9, 77], Operations: ['86-15=71', '6+71=77']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 9*77=693, Resulting Numbers: [693]
693,76 unequal: No Solution
Exploring Operation: 9+77=86, Resulting Numbers: [86]
86,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 76:[71, 15], Operations: ['86-15=71', '6+9=15']
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 71*15=1065, Resulting Numbers: [1065]
1065,76 unequal: No Solution
Exploring Operation: 71+15=86, Resulting Numbers: [86]
86,76 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: 76:[15, 9, 80], Operations: ['86-6=80']
Exploring Operation: 15-9=6, Resulting Numbers: [80, 6]
Generated Node #0,1,0: 76:[80, 6] Operation: 15-9=6
Exploring Operation: 15+9=24, Resulting Numbers: [80, 24]
Generated Node #0,1,1: 76:[80, 24] Operation: 15+9=24
Exploring Operation: 80-15=65, Resulting Numbers: [9, 65]
Generated Node #0,1,2: 76:[9, 65] Operation: 80-15=65
Exploring Operation: 80-9=71, Resulting Numbers: [15, 71]
Generated Node #0,1,3: 76:[15, 71] Operation: 80-9=71
Moving to Node #0,1,0
Current State: 76:[80, 6], Operations: ['86-6=80', '15-9=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,76 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[15, 71], Operations: ['86-6=80', '80-9=71']
Exploring Operation: 15*71=1065, Resulting Numbers: [1065]
1065,76 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[80, 24], Operations: ['86-6=80', '15+9=24']
Exploring Operation: 80*24=1920, Resulting Numbers: [1920]
1920,76 unequal: No Solution
Exploring Operation: 80+24=104, Resulting Numbers: [104]
104,76 unequal: No Solution
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[9, 65], Operations: ['86-6=80', '80-15=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,76 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[6, 86, 6], Operations: ['15-9=6']
Exploring Operation: 6*6=36, Resulting Numbers: [86, 36]
Generated Node #0,3,0: 76:[86, 36] Operation: 6*6=36
Exploring Operation: 6/6=1, Resulting Numbers: [86, 1]
Generated Node #0,3,1: 76:[86, 1] Operation: 6/6=1
Exploring Operation: 86-6=80, Resulting Numbers: [6, 80]
Generated Node #0,3,2: 76:[6, 80] Operation: 86-6=80
Exploring Operation: 86-6=80, Resulting Numbers: [6, 80]
Generated Node #0,3,3: 76:[6, 80] Operation: 86-6=80
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[6, 80], Operations: ['15-9=6', '86-6=80']
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 6*80=480, Resulting Numbers: [480]
480,76 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 76:[6, 80], Operations: ['15-9=6', '86-6=80']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 6*80=480, Resulting Numbers: [480]
480,76 unequal: No Solution
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 76:[86, 1], Operations: ['15-9=6', '6/6=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 76:[86, 36], Operations: ['15-9=6', '6*6=36']
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,76 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,76 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,76 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 |
[
6,
32,
92,
93
] | 38 | [
"6+32=38",
"93-92=1",
"38*1=38"
] | Current State: 38:[6, 32, 92, 93], Operations: []
Exploring Operation: 6+32=38, Resulting Numbers: [92, 93, 38]
Generated Node #2: [92, 93, 38] from Operation: 6+32=38
Current State: 38:[92, 93, 38], Operations: ['6+32=38']
Exploring Operation: 93-92=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 93-92=1
Current State: 38:[38, 1], Operations: ['6+32=38', '93-92=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[6, 32, 92, 93], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [32, 93, 86]
Generated Node #0,0: 38:[32, 93, 86] Operation: 92-6=86
Exploring Operation: 93-32=61, Resulting Numbers: [6, 92, 61]
Generated Node #0,1: 38:[6, 92, 61] Operation: 93-32=61
Exploring Operation: 6+32=38, Resulting Numbers: [92, 93, 38]
Generated Node #0,2: 38:[92, 93, 38] Operation: 6+32=38
Exploring Operation: 92-32=60, Resulting Numbers: [6, 93, 60]
Generated Node #0,3: 38:[6, 93, 60] Operation: 92-32=60
Exploring Operation: 93-92=1, Resulting Numbers: [6, 32, 1]
Generated Node #0,4: 38:[6, 32, 1] Operation: 93-92=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[6, 32, 1], Operations: ['93-92=1']
Exploring Operation: 32-6=26, Resulting Numbers: [1, 26]
Generated Node #0,4,0: 38:[1, 26] Operation: 32-6=26
Exploring Operation: 32+1=33, Resulting Numbers: [6, 33]
Generated Node #0,4,1: 38:[6, 33] Operation: 32+1=33
Exploring Operation: 6-1=5, Resulting Numbers: [32, 5]
Generated Node #0,4,2: 38:[32, 5] Operation: 6-1=5
Exploring Operation: 6*1=6, Resulting Numbers: [32, 6]
Generated Node #0,4,3: 38:[32, 6] Operation: 6*1=6
Exploring Operation: 6+32=38, Resulting Numbers: [1, 38]
Generated Node #0,4,4: 38:[1, 38] Operation: 6+32=38
Moving to Node #0,4,4
Current State: 38:[1, 38], Operations: ['93-92=1', '6+32=38']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[6, 32, 92, 93], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [6, 32, 1]
Generated Node #0,4: 38:[6, 32, 1] Operation: 93-92=1
Moving to Node #0,4
Current State: 38:[6, 32, 1], Operations: ['93-92=1']
Exploring Operation: 6+32=38, Resulting Numbers: [1, 38]
Generated Node #0,4,4: 38:[1, 38] Operation: 6+32=38
Moving to Node #0,4,4
Current State: 38:[1, 38], Operations: ['93-92=1', '6+32=38']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
67,
12,
48,
69
] | 58 | [
"67+12=79",
"69-48=21",
"79-21=58"
] | Current State: 58:[67, 12, 48, 69], Operations: []
Exploring Operation: 67+12=79, Resulting Numbers: [48, 69, 79]
Generated Node #2: [48, 69, 79] from Operation: 67+12=79
Current State: 58:[48, 69, 79], Operations: ['67+12=79']
Exploring Operation: 69-48=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 69-48=21
Current State: 58:[79, 21], Operations: ['67+12=79', '69-48=21']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[67, 12, 48, 69], Operations: []
Exploring Operation: 12+48=60, Resulting Numbers: [67, 69, 60]
Generated Node #0,0: 58:[67, 69, 60] Operation: 12+48=60
Exploring Operation: 69-12=57, Resulting Numbers: [67, 48, 57]
Generated Node #0,1: 58:[67, 48, 57] Operation: 69-12=57
Exploring Operation: 69-67=2, Resulting Numbers: [12, 48, 2]
Generated Node #0,2: 58:[12, 48, 2] Operation: 69-67=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[67, 48, 57], Operations: ['69-12=57']
Exploring Operation: 67-57=10, Resulting Numbers: [48, 10]
Generated Node #0,1,0: 58:[48, 10] Operation: 67-57=10
Exploring Operation: 57-48=9, Resulting Numbers: [67, 9]
Generated Node #0,1,1: 58:[67, 9] Operation: 57-48=9
Exploring Operation: 67-48=19, Resulting Numbers: [57, 19]
Generated Node #0,1,2: 58:[57, 19] Operation: 67-48=19
Moving to Node #0,1,2
Current State: 58:[57, 19], Operations: ['69-12=57', '67-48=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,58 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[67, 9], Operations: ['69-12=57', '57-48=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 67*9=603, Resulting Numbers: [603]
603,58 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[67, 12, 48, 69], Operations: []
Exploring Operation: 69-12=57, Resulting Numbers: [67, 48, 57]
Generated Node #0,1: 58:[67, 48, 57] Operation: 69-12=57
Moving to Node #0,1
Current State: 58:[67, 48, 57], Operations: ['69-12=57']
Exploring Operation: 57-48=9, Resulting Numbers: [67, 9]
Generated Node #0,1,1: 58:[67, 9] Operation: 57-48=9
Moving to Node #0,1,1
Current State: 58:[67, 9], Operations: ['69-12=57', '57-48=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
2,
94,
28,
56
] | 52 | [
"28/2=14",
"94-56=38",
"14+38=52"
] | Current State: 52:[2, 94, 28, 56], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [94, 56, 14]
Generated Node #2: [94, 56, 14] from Operation: 28/2=14
Current State: 52:[94, 56, 14], Operations: ['28/2=14']
Exploring Operation: 94-56=38, Resulting Numbers: [14, 38]
Generated Node #3: [14, 38] from Operation: 94-56=38
Current State: 52:[14, 38], Operations: ['28/2=14', '94-56=38']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[2, 94, 28, 56], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [2, 28, 38]
Generated Node #0,0: 52:[2, 28, 38] Operation: 94-56=38
Exploring Operation: 94/2=47, Resulting Numbers: [28, 56, 47]
Generated Node #0,1: 52:[28, 56, 47] Operation: 94/2=47
Exploring Operation: 56/28=2, Resulting Numbers: [2, 94, 2]
Generated Node #0,2: 52:[2, 94, 2] Operation: 56/28=2
Exploring Operation: 94-28=66, Resulting Numbers: [2, 56, 66]
Generated Node #0,3: 52:[2, 56, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[28, 56, 47], Operations: ['94/2=47']
Exploring Operation: 56-28=28, Resulting Numbers: [47, 28]
Generated Node #0,1,0: 52:[47, 28] Operation: 56-28=28
Exploring Operation: 56-47=9, Resulting Numbers: [28, 9]
Generated Node #0,1,1: 52:[28, 9] Operation: 56-47=9
Exploring Operation: 47-28=19, Resulting Numbers: [56, 19]
Generated Node #0,1,2: 52:[56, 19] Operation: 47-28=19
Exploring Operation: 56/28=2, Resulting Numbers: [47, 2]
Generated Node #0,1,3: 52:[47, 2] Operation: 56/28=2
Moving to Node #0,1,3
Current State: 52:[47, 2], Operations: ['94/2=47', '56/28=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[28, 9], Operations: ['94/2=47', '56-47=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,52 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[47, 28], Operations: ['94/2=47', '56-28=28']
Exploring Operation: 47*28=1316, Resulting Numbers: [1316]
1316,52 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[56, 19], Operations: ['94/2=47', '47-28=19']
Exploring Operation: 56*19=1064, Resulting Numbers: [1064]
1064,52 unequal: No Solution
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[2, 28, 38], Operations: ['94-56=38']
Exploring Operation: 38-28=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 52:[2, 10] Operation: 38-28=10
Exploring Operation: 38-2=36, Resulting Numbers: [28, 36]
Generated Node #0,0,1: 52:[28, 36] Operation: 38-2=36
Exploring Operation: 38/2=19, Resulting Numbers: [28, 19]
Generated Node #0,0,2: 52:[28, 19] Operation: 38/2=19
Exploring Operation: 28-2=26, Resulting Numbers: [38, 26]
Generated Node #0,0,3: 52:[38, 26] Operation: 28-2=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[2, 10], Operations: ['94-56=38', '38-28=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[28, 19], Operations: ['94-56=38', '38/2=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[28, 36], Operations: ['94-56=38', '38-2=36']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[38, 26], Operations: ['94-56=38', '28-2=26']
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,52 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,52 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: 52:[2, 56, 66], Operations: ['94-28=66']
Exploring Operation: 56-2=54, Resulting Numbers: [66, 54]
Generated Node #0,3,0: 52:[66, 54] Operation: 56-2=54
Exploring Operation: 66/2=33, Resulting Numbers: [56, 33]
Generated Node #0,3,1: 52:[56, 33] Operation: 66/2=33
Exploring Operation: 66-56=10, Resulting Numbers: [2, 10]
Generated Node #0,3,2: 52:[2, 10] Operation: 66-56=10
Exploring Operation: 56/2=28, Resulting Numbers: [66, 28]
Generated Node #0,3,3: 52:[66, 28] Operation: 56/2=28
Moving to Node #0,3,2
Current State: 52:[2, 10], Operations: ['94-28=66', '66-56=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[56, 33], Operations: ['94-28=66', '66/2=33']
Exploring Operation: 56+33=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 56*33=1848, Resulting Numbers: [1848]
1848,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[66, 28], Operations: ['94-28=66', '56/2=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 66*28=1848, Resulting Numbers: [1848]
1848,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[66, 54], Operations: ['94-28=66', '56-2=54']
Exploring Operation: 66-54=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 66*54=3564, Resulting Numbers: [3564]
3564,52 unequal: No Solution
Exploring Operation: 66+54=120, Resulting Numbers: [120]
120,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[2, 94, 2], Operations: ['56/28=2']
Exploring Operation: 94/2=47, Resulting Numbers: [2, 47]
Generated Node #0,2,0: 52:[2, 47] Operation: 94/2=47
Exploring Operation: 94/2=47, Resulting Numbers: [2, 47]
Generated Node #0,2,1: 52:[2, 47] Operation: 94/2=47
Exploring Operation: 94-2=92, Resulting Numbers: [2, 92]
Generated Node #0,2,2: 52:[2, 92] Operation: 94-2=92
Exploring Operation: 94-2=92, Resulting Numbers: [2, 92]
Generated Node #0,2,3: 52:[2, 92] Operation: 94-2=92
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[2, 47], Operations: ['56/28=2', '94/2=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 52:[2, 47], Operations: ['56/28=2', '94/2=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 52:[2, 92], Operations: ['56/28=2', '94-2=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,52 unequal: No Solution
Exploring Operation: 2*92=184, Resulting Numbers: [184]
184,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 52:[2, 92], Operations: ['56/28=2', '94-2=92']
Exploring Operation: 2*92=184, Resulting Numbers: [184]
184,52 unequal: No Solution
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,52 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,52 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 |
[
51,
81,
8,
60
] | 80 | [
"51+81=132",
"60-8=52",
"132-52=80"
] | Current State: 80:[51, 81, 8, 60], Operations: []
Exploring Operation: 51+81=132, Resulting Numbers: [8, 60, 132]
Generated Node #2: [8, 60, 132] from Operation: 51+81=132
Current State: 80:[8, 60, 132], Operations: ['51+81=132']
Exploring Operation: 60-8=52, Resulting Numbers: [132, 52]
Generated Node #3: [132, 52] from Operation: 60-8=52
Current State: 80:[132, 52], Operations: ['51+81=132', '60-8=52']
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[51, 81, 8, 60], Operations: []
Exploring Operation: 51-8=43, Resulting Numbers: [81, 60, 43]
Generated Node #0,0: 80:[81, 60, 43] Operation: 51-8=43
Exploring Operation: 60-51=9, Resulting Numbers: [81, 8, 9]
Generated Node #0,1: 80:[81, 8, 9] Operation: 60-51=9
Exploring Operation: 81-60=21, Resulting Numbers: [51, 8, 21]
Generated Node #0,2: 80:[51, 8, 21] Operation: 81-60=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[81, 8, 9], Operations: ['60-51=9']
Exploring Operation: 81/9=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 80:[8, 9] Operation: 81/9=9
Exploring Operation: 8+9=17, Resulting Numbers: [81, 17]
Generated Node #0,1,1: 80:[81, 17] Operation: 8+9=17
Exploring Operation: 9-8=1, Resulting Numbers: [81, 1]
Generated Node #0,1,2: 80:[81, 1] Operation: 9-8=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[8, 9], Operations: ['60-51=9', '81/9=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,80 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 #0,1,1
Current State: 80:[81, 17], Operations: ['60-51=9', '8+9=17']
Exploring Operation: 81*17=1377, Resulting Numbers: [1377]
1377,80 unequal: No Solution
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,80 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 #0,1,2
Current State: 80:[81, 1], Operations: ['60-51=9', '9-8=1']
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[51, 81, 8, 60], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [81, 8, 9]
Generated Node #0,1: 80:[81, 8, 9] Operation: 60-51=9
Moving to Node #0,1
Current State: 80:[81, 8, 9], Operations: ['60-51=9']
Exploring Operation: 9-8=1, Resulting Numbers: [81, 1]
Generated Node #0,1,2: 80:[81, 1] Operation: 9-8=1
Moving to Node #0,1,2
Current State: 80:[81, 1], Operations: ['60-51=9', '9-8=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
48,
20,
63,
40
] | 16 | [
"63-20=43",
"43-40=3",
"48/3=16"
] | Current State: 16:[48, 20, 63, 40], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [48, 40, 43]
Generated Node #2: [48, 40, 43] from Operation: 63-20=43
Current State: 16:[48, 40, 43], Operations: ['63-20=43']
Exploring Operation: 43-40=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 43-40=3
Current State: 16:[48, 3], Operations: ['63-20=43', '43-40=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[48, 20, 63, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [20, 63, 8]
Generated Node #0,0: 16:[20, 63, 8] Operation: 48-40=8
Exploring Operation: 40/20=2, Resulting Numbers: [48, 63, 2]
Generated Node #0,1: 16:[48, 63, 2] Operation: 40/20=2
Exploring Operation: 63-48=15, Resulting Numbers: [20, 40, 15]
Generated Node #0,2: 16:[20, 40, 15] Operation: 63-48=15
Exploring Operation: 63-40=23, Resulting Numbers: [48, 20, 23]
Generated Node #0,3: 16:[48, 20, 23] Operation: 63-40=23
Moving to Node #0,2
Current State: 16:[20, 40, 15], Operations: ['63-48=15']
Exploring Operation: 40-20=20, Resulting Numbers: [15, 20]
Generated Node #0,2,0: 16:[15, 20] Operation: 40-20=20
Exploring Operation: 20-15=5, Resulting Numbers: [40, 5]
Generated Node #0,2,1: 16:[40, 5] Operation: 20-15=5
Exploring Operation: 40-15=25, Resulting Numbers: [20, 25]
Generated Node #0,2,2: 16:[20, 25] Operation: 40-15=25
Exploring Operation: 40/20=2, Resulting Numbers: [15, 2]
Generated Node #0,2,3: 16:[15, 2] Operation: 40/20=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[15, 2], Operations: ['63-48=15', '40/20=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,16 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
No 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: 16:[15, 20], Operations: ['63-48=15', '40-20=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,16 unequal: No Solution
No 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: 16:[20, 25], Operations: ['63-48=15', '40-15=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,16 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,16 unequal: No Solution
No 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: 16:[40, 5], Operations: ['63-48=15', '20-15=5']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 40*5=200, Resulting Numbers: [200]
200,16 unequal: No Solution
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,16 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: 16:[48, 20, 23], Operations: ['63-40=23']
Exploring Operation: 48-20=28, Resulting Numbers: [23, 28]
Generated Node #0,3,0: 16:[23, 28] Operation: 48-20=28
Exploring Operation: 48-23=25, Resulting Numbers: [20, 25]
Generated Node #0,3,1: 16:[20, 25] Operation: 48-23=25
Exploring Operation: 23-20=3, Resulting Numbers: [48, 3]
Generated Node #0,3,2: 16:[48, 3] Operation: 23-20=3
Exploring Operation: 48+20=68, Resulting Numbers: [23, 68]
Generated Node #0,3,3: 16:[23, 68] Operation: 48+20=68
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[20, 25], Operations: ['63-40=23', '48-23=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,16 unequal: No Solution
No 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: 16:[23, 28], Operations: ['63-40=23', '48-20=28']
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,16 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No 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: 16:[48, 3], Operations: ['63-40=23', '23-20=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[48, 20, 63, 40], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [48, 20, 23]
Generated Node #0,3: 16:[48, 20, 23] Operation: 63-40=23
Moving to Node #0,3
Current State: 16:[48, 20, 23], Operations: ['63-40=23']
Exploring Operation: 23-20=3, Resulting Numbers: [48, 3]
Generated Node #0,3,2: 16:[48, 3] Operation: 23-20=3
Moving to Node #0,3,2
Current State: 16:[48, 3], Operations: ['63-40=23', '23-20=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | mult_heuristic |
[
55,
30,
44,
88
] | 27 | [
"55-30=25",
"88/44=2",
"25+2=27"
] | Current State: 27:[55, 30, 44, 88], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [44, 88, 25]
Generated Node #2: [44, 88, 25] from Operation: 55-30=25
Current State: 27:[44, 88, 25], Operations: ['55-30=25']
Exploring Operation: 88/44=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 88/44=2
Current State: 27:[25, 2], Operations: ['55-30=25', '88/44=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[55, 30, 44, 88], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [30, 88, 11]
Generated Node #0,0: 27:[30, 88, 11] Operation: 55-44=11
Exploring Operation: 88-55=33, Resulting Numbers: [30, 44, 33]
Generated Node #0,1: 27:[30, 44, 33] Operation: 88-55=33
Exploring Operation: 88-44=44, Resulting Numbers: [55, 30, 44]
Generated Node #0,2: 27:[55, 30, 44] Operation: 88-44=44
Exploring Operation: 88/44=2, Resulting Numbers: [55, 30, 2]
Generated Node #0,3: 27:[55, 30, 2] Operation: 88/44=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[30, 44, 33], Operations: ['88-55=33']
Exploring Operation: 44-30=14, Resulting Numbers: [33, 14]
Generated Node #0,1,0: 27:[33, 14] Operation: 44-30=14
Exploring Operation: 33-30=3, Resulting Numbers: [44, 3]
Generated Node #0,1,1: 27:[44, 3] Operation: 33-30=3
Exploring Operation: 30+44=74, Resulting Numbers: [33, 74]
Generated Node #0,1,2: 27:[33, 74] Operation: 30+44=74
Exploring Operation: 44-33=11, Resulting Numbers: [30, 11]
Generated Node #0,1,3: 27:[30, 11] Operation: 44-33=11
Moving to Node #0,1,3
Current State: 27:[30, 11], Operations: ['88-55=33', '44-33=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[33, 14], Operations: ['88-55=33', '44-30=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,27 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[44, 3], Operations: ['88-55=33', '33-30=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,27 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[33, 74], Operations: ['88-55=33', '30+44=74']
Exploring Operation: 33+74=107, Resulting Numbers: [107]
107,27 unequal: No Solution
Exploring Operation: 33*74=2442, Resulting Numbers: [2442]
2442,27 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[55, 30, 2], Operations: ['88/44=2']
Exploring Operation: 55-2=53, Resulting Numbers: [30, 53]
Generated Node #0,3,0: 27:[30, 53] Operation: 55-2=53
Exploring Operation: 55+2=57, Resulting Numbers: [30, 57]
Generated Node #0,3,1: 27:[30, 57] Operation: 55+2=57
Exploring Operation: 30-2=28, Resulting Numbers: [55, 28]
Generated Node #0,3,2: 27:[55, 28] Operation: 30-2=28
Exploring Operation: 55-30=25, Resulting Numbers: [2, 25]
Generated Node #0,3,3: 27:[2, 25] Operation: 55-30=25
Moving to Node #0,3,3
Current State: 27:[2, 25], Operations: ['88/44=2', '55-30=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[55, 30, 44, 88], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [55, 30, 2]
Generated Node #0,3: 27:[55, 30, 2] Operation: 88/44=2
Moving to Node #0,3
Current State: 27:[55, 30, 2], Operations: ['88/44=2']
Exploring Operation: 55-30=25, Resulting Numbers: [2, 25]
Generated Node #0,3,3: 27:[2, 25] Operation: 55-30=25
Moving to Node #0,3,3
Current State: 27:[2, 25], Operations: ['88/44=2', '55-30=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
59,
72,
99,
59
] | 72 | [
"59-59=0",
"99*0=0",
"72+0=72"
] | Current State: 72:[59, 72, 99, 59], Operations: []
Exploring Operation: 59-59=0, Resulting Numbers: [72, 99, 0]
Generated Node #2: [72, 99, 0] from Operation: 59-59=0
Current State: 72:[72, 99, 0], Operations: ['59-59=0']
Exploring Operation: 99*0=0, Resulting Numbers: [72, 0]
Generated Node #3: [72, 0] from Operation: 99*0=0
Current State: 72:[72, 0], Operations: ['59-59=0', '99*0=0']
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[59, 72, 99, 59], Operations: []
Exploring Operation: 99-59=40, Resulting Numbers: [59, 72, 40]
Generated Node #0,0: 72:[59, 72, 40] Operation: 99-59=40
Exploring Operation: 59-59=0, Resulting Numbers: [72, 99, 0]
Generated Node #0,1: 72:[72, 99, 0] Operation: 59-59=0
Exploring Operation: 99-59=40, Resulting Numbers: [72, 59, 40]
Generated Node #0,2: 72:[72, 59, 40] Operation: 99-59=40
Exploring Operation: 99-72=27, Resulting Numbers: [59, 59, 27]
Generated Node #0,3: 72:[59, 59, 27] Operation: 99-72=27
Exploring Operation: 59/59=1, Resulting Numbers: [72, 99, 1]
Generated Node #0,4: 72:[72, 99, 1] Operation: 59/59=1
Moving to Node #0,0
Current State: 72:[59, 72, 40], Operations: ['99-59=40']
Exploring Operation: 59-40=19, Resulting Numbers: [72, 19]
Generated Node #0,0,0: 72:[72, 19] Operation: 59-40=19
Exploring Operation: 72-59=13, Resulting Numbers: [40, 13]
Generated Node #0,0,1: 72:[40, 13] Operation: 72-59=13
Exploring Operation: 72+40=112, Resulting Numbers: [59, 112]
Generated Node #0,0,2: 72:[59, 112] Operation: 72+40=112
Exploring Operation: 59+40=99, Resulting Numbers: [72, 99]
Generated Node #0,0,3: 72:[72, 99] Operation: 59+40=99
Exploring Operation: 72-40=32, Resulting Numbers: [59, 32]
Generated Node #0,0,4: 72:[59, 32] Operation: 72-40=32
Moving to Node #0,2
Current State: 72:[72, 59, 40], Operations: ['99-59=40']
Exploring Operation: 59-40=19, Resulting Numbers: [72, 19]
Generated Node #0,2,0: 72:[72, 19] Operation: 59-40=19
Exploring Operation: 59+40=99, Resulting Numbers: [72, 99]
Generated Node #0,2,1: 72:[72, 99] Operation: 59+40=99
Exploring Operation: 72-40=32, Resulting Numbers: [59, 32]
Generated Node #0,2,2: 72:[59, 32] Operation: 72-40=32
Exploring Operation: 72+40=112, Resulting Numbers: [59, 112]
Generated Node #0,2,3: 72:[59, 112] Operation: 72+40=112
Exploring Operation: 72-59=13, Resulting Numbers: [40, 13]
Generated Node #0,2,4: 72:[40, 13] Operation: 72-59=13
Moving to Node #0,4
Current State: 72:[72, 99, 1], Operations: ['59/59=1']
Exploring Operation: 99-72=27, Resulting Numbers: [1, 27]
Generated Node #0,4,0: 72:[1, 27] Operation: 99-72=27
Exploring Operation: 72*1=72, Resulting Numbers: [99, 72]
Generated Node #0,4,1: 72:[99, 72] Operation: 72*1=72
Exploring Operation: 99-1=98, Resulting Numbers: [72, 98]
Generated Node #0,4,2: 72:[72, 98] Operation: 99-1=98
Exploring Operation: 72/1=72, Resulting Numbers: [99, 72]
Generated Node #0,4,3: 72:[99, 72] Operation: 72/1=72
Exploring Operation: 99*1=99, Resulting Numbers: [72, 99]
Generated Node #0,4,4: 72:[72, 99] Operation: 99*1=99
Moving to Node #0,1
Current State: 72:[72, 99, 0], Operations: ['59-59=0']
Exploring Operation: 99+0=99, Resulting Numbers: [72, 99]
Generated Node #0,1,0: 72:[72, 99] Operation: 99+0=99
Exploring Operation: 99-72=27, Resulting Numbers: [0, 27]
Generated Node #0,1,1: 72:[0, 27] Operation: 99-72=27
Exploring Operation: 72+0=72, Resulting Numbers: [99, 72]
Generated Node #0,1,2: 72:[99, 72] Operation: 72+0=72
Exploring Operation: 72-0=72, Resulting Numbers: [99, 72]
Generated Node #0,1,3: 72:[99, 72] Operation: 72-0=72
Exploring Operation: 99*0=0, Resulting Numbers: [72, 0]
Generated Node #0,1,4: 72:[72, 0] Operation: 99*0=0
Moving to Node #0,3
Current State: 72:[59, 59, 27], Operations: ['99-72=27']
Exploring Operation: 59/59=1, Resulting Numbers: [27, 1]
Generated Node #0,3,0: 72:[27, 1] Operation: 59/59=1
Exploring Operation: 59-27=32, Resulting Numbers: [59, 32]
Generated Node #0,3,1: 72:[59, 32] Operation: 59-27=32
Exploring Operation: 59+27=86, Resulting Numbers: [59, 86]
Generated Node #0,3,2: 72:[59, 86] Operation: 59+27=86
Exploring Operation: 59-59=0, Resulting Numbers: [27, 0]
Generated Node #0,3,3: 72:[27, 0] Operation: 59-59=0
Exploring Operation: 59-27=32, Resulting Numbers: [59, 32]
Generated Node #0,3,4: 72:[59, 32] Operation: 59-27=32
Moving to Node #0,0,0
Current State: 72:[72, 19], Operations: ['99-59=40', '59-40=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,72 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,72 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[72, 19], Operations: ['99-59=40', '59-40=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,72 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,72 unequal: No Solution
Moving to Node #0,1,4
Current State: 72:[72, 0], Operations: ['59-59=0', '99*0=0']
Exploring Operation: 72*0=0, Resulting Numbers: [0]
0,72 unequal: No Solution
Exploring Operation: 72-0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[59, 72, 99, 59], Operations: []
Exploring Operation: 59-59=0, Resulting Numbers: [72, 99, 0]
Generated Node #0,1: 72:[72, 99, 0] Operation: 59-59=0
Moving to Node #0,1
Current State: 72:[72, 99, 0], Operations: ['59-59=0']
Exploring Operation: 99*0=0, Resulting Numbers: [72, 0]
Generated Node #0,1,4: 72:[72, 0] Operation: 99*0=0
Moving to Node #0,1,4
Current State: 72:[72, 0], Operations: ['59-59=0', '99*0=0']
Exploring Operation: 72-0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.963542 | hs_5 | sum_heuristic |
[
85,
72,
42,
51
] | 83 | [
"72-51=21",
"42/21=2",
"85-2=83"
] | Current State: 83:[85, 72, 42, 51], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [85, 42, 21]
Generated Node #2: [85, 42, 21] from Operation: 72-51=21
Current State: 83:[85, 42, 21], Operations: ['72-51=21']
Exploring Operation: 42/21=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 42/21=2
Current State: 83:[85, 2], Operations: ['72-51=21', '42/21=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[85, 72, 42, 51], Operations: []
Exploring Operation: 72+51=123, Resulting Numbers: [85, 42, 123]
Generated Node #0,0: 83:[85, 42, 123] Operation: 72+51=123
Exploring Operation: 72+42=114, Resulting Numbers: [85, 51, 114]
Generated Node #0,1: 83:[85, 51, 114] Operation: 72+42=114
Exploring Operation: 85-42=43, Resulting Numbers: [72, 51, 43]
Generated Node #0,2: 83:[72, 51, 43] Operation: 85-42=43
Exploring Operation: 42+51=93, Resulting Numbers: [85, 72, 93]
Generated Node #0,3: 83:[85, 72, 93] Operation: 42+51=93
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[85, 72, 93], Operations: ['42+51=93']
Exploring Operation: 72+93=165, Resulting Numbers: [85, 165]
Generated Node #0,3,0: 83:[85, 165] Operation: 72+93=165
Exploring Operation: 93-72=21, Resulting Numbers: [85, 21]
Generated Node #0,3,1: 83:[85, 21] Operation: 93-72=21
Exploring Operation: 85+72=157, Resulting Numbers: [93, 157]
Generated Node #0,3,2: 83:[93, 157] Operation: 85+72=157
Exploring Operation: 85-72=13, Resulting Numbers: [93, 13]
Generated Node #0,3,3: 83:[93, 13] Operation: 85-72=13
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[85, 21], Operations: ['42+51=93', '93-72=21']
Exploring Operation: 85+21=106, Resulting Numbers: [106]
106,83 unequal: No Solution
Exploring Operation: 85*21=1785, Resulting Numbers: [1785]
1785,83 unequal: No Solution
Exploring Operation: 85-21=64, Resulting Numbers: [64]
64,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[93, 13], Operations: ['42+51=93', '85-72=13']
Exploring Operation: 93*13=1209, Resulting Numbers: [1209]
1209,83 unequal: No Solution
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 93+13=106, Resulting Numbers: [106]
106,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[85, 165], Operations: ['42+51=93', '72+93=165']
Exploring Operation: 165-85=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 85*165=14025, Resulting Numbers: [14025]
14025,83 unequal: No Solution
Exploring Operation: 85+165=250, Resulting Numbers: [250]
250,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[93, 157], Operations: ['42+51=93', '85+72=157']
Exploring Operation: 93+157=250, Resulting Numbers: [250]
250,83 unequal: No Solution
Exploring Operation: 93*157=14601, Resulting Numbers: [14601]
14601,83 unequal: No Solution
Exploring Operation: 157-93=64, Resulting Numbers: [64]
64,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[85, 51, 114], Operations: ['72+42=114']
Exploring Operation: 85+51=136, Resulting Numbers: [114, 136]
Generated Node #0,1,0: 83:[114, 136] Operation: 85+51=136
Exploring Operation: 51+114=165, Resulting Numbers: [85, 165]
Generated Node #0,1,1: 83:[85, 165] Operation: 51+114=165
Exploring Operation: 85-51=34, Resulting Numbers: [114, 34]
Generated Node #0,1,2: 83:[114, 34] Operation: 85-51=34
Exploring Operation: 114-51=63, Resulting Numbers: [85, 63]
Generated Node #0,1,3: 83:[85, 63] Operation: 114-51=63
Moving to Node #0,1,3
Current State: 83:[85, 63], Operations: ['72+42=114', '114-51=63']
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 85*63=5355, Resulting Numbers: [5355]
5355,83 unequal: No Solution
Exploring Operation: 85+63=148, Resulting Numbers: [148]
148,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[114, 34], Operations: ['72+42=114', '85-51=34']
Exploring Operation: 114-34=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 114+34=148, Resulting Numbers: [148]
148,83 unequal: No Solution
Exploring Operation: 114*34=3876, Resulting Numbers: [3876]
3876,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[85, 165], Operations: ['72+42=114', '51+114=165']
Exploring Operation: 85+165=250, Resulting Numbers: [250]
250,83 unequal: No Solution
Exploring Operation: 85*165=14025, Resulting Numbers: [14025]
14025,83 unequal: No Solution
Exploring Operation: 165-85=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[114, 136], Operations: ['72+42=114', '85+51=136']
Exploring Operation: 136-114=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 114*136=15504, Resulting Numbers: [15504]
15504,83 unequal: No Solution
Exploring Operation: 114+136=250, Resulting Numbers: [250]
250,83 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:[85, 42, 123], Operations: ['72+51=123']
Exploring Operation: 85+42=127, Resulting Numbers: [123, 127]
Generated Node #0,0,0: 83:[123, 127] Operation: 85+42=127
Exploring Operation: 123-42=81, Resulting Numbers: [85, 81]
Generated Node #0,0,1: 83:[85, 81] Operation: 123-42=81
Exploring Operation: 42+123=165, Resulting Numbers: [85, 165]
Generated Node #0,0,2: 83:[85, 165] Operation: 42+123=165
Exploring Operation: 85-42=43, Resulting Numbers: [123, 43]
Generated Node #0,0,3: 83:[123, 43] Operation: 85-42=43
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[85, 81], Operations: ['72+51=123', '123-42=81']
Exploring Operation: 85-81=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 85+81=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 85*81=6885, Resulting Numbers: [6885]
6885,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[123, 43], Operations: ['72+51=123', '85-42=43']
Exploring Operation: 123+43=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 123-43=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 123*43=5289, Resulting Numbers: [5289]
5289,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[123, 127], Operations: ['72+51=123', '85+42=127']
Exploring Operation: 123*127=15621, Resulting Numbers: [15621]
15621,83 unequal: No Solution
Exploring Operation: 127-123=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 123+127=250, Resulting Numbers: [250]
250,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[85, 165], Operations: ['72+51=123', '42+123=165']
Exploring Operation: 85+165=250, Resulting Numbers: [250]
250,83 unequal: No Solution
Exploring Operation: 85*165=14025, Resulting Numbers: [14025]
14025,83 unequal: No Solution
Exploring Operation: 165-85=80, Resulting Numbers: [80]
80,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[72, 51, 43], Operations: ['85-42=43']
Exploring Operation: 72+51=123, Resulting Numbers: [43, 123]
Generated Node #0,2,0: 83:[43, 123] Operation: 72+51=123
Exploring Operation: 72+43=115, Resulting Numbers: [51, 115]
Generated Node #0,2,1: 83:[51, 115] Operation: 72+43=115
Exploring Operation: 51+43=94, Resulting Numbers: [72, 94]
Generated Node #0,2,2: 83:[72, 94] Operation: 51+43=94
Exploring Operation: 72-43=29, Resulting Numbers: [51, 29]
Generated Node #0,2,3: 83:[51, 29] Operation: 72-43=29
Moving to Node #0,2,2
Current State: 83:[72, 94], Operations: ['85-42=43', '51+43=94']
Exploring Operation: 94-72=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 72*94=6768, Resulting Numbers: [6768]
6768,83 unequal: No Solution
Exploring Operation: 72+94=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[51, 115], Operations: ['85-42=43', '72+43=115']
Exploring Operation: 51*115=5865, Resulting Numbers: [5865]
5865,83 unequal: No Solution
Exploring Operation: 115-51=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Exploring Operation: 51+115=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[43, 123], Operations: ['85-42=43', '72+51=123']
Exploring Operation: 43+123=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 123-43=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 43*123=5289, Resulting Numbers: [5289]
5289,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[51, 29], Operations: ['85-42=43', '72-43=29']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,83 unequal: No Solution
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,83 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 |
[
55,
49,
22,
95
] | 11 | [
"22*95=2090",
"2090/55=38",
"49-38=11"
] | Current State: 11:[55, 49, 22, 95], Operations: []
Exploring Operation: 22*95=2090, Resulting Numbers: [55, 49, 2090]
Generated Node #2: [55, 49, 2090] from Operation: 22*95=2090
Current State: 11:[55, 49, 2090], Operations: ['22*95=2090']
Exploring Operation: 2090/55=38, Resulting Numbers: [49, 38]
Generated Node #3: [49, 38] from Operation: 2090/55=38
Current State: 11:[49, 38], Operations: ['22*95=2090', '2090/55=38']
Exploring Operation: 49-38=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[55, 49, 22, 95], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [49, 22, 40]
Generated Node #0,0: 11:[49, 22, 40] Operation: 95-55=40
Exploring Operation: 55-22=33, Resulting Numbers: [49, 95, 33]
Generated Node #0,1: 11:[49, 95, 33] Operation: 55-22=33
Exploring Operation: 95-49=46, Resulting Numbers: [55, 22, 46]
Generated Node #0,2: 11:[55, 22, 46] Operation: 95-49=46
Exploring Operation: 55-49=6, Resulting Numbers: [22, 95, 6]
Generated Node #0,3: 11:[22, 95, 6] Operation: 55-49=6
Moving to Node #0,0
Current State: 11:[49, 22, 40], Operations: ['95-55=40']
Exploring Operation: 40-22=18, Resulting Numbers: [49, 18]
Generated Node #0,0,0: 11:[49, 18] Operation: 40-22=18
Exploring Operation: 49-40=9, Resulting Numbers: [22, 9]
Generated Node #0,0,1: 11:[22, 9] Operation: 49-40=9
Exploring Operation: 49+22=71, Resulting Numbers: [40, 71]
Generated Node #0,0,2: 11:[40, 71] Operation: 49+22=71
Exploring Operation: 49-22=27, Resulting Numbers: [40, 27]
Generated Node #0,0,3: 11:[40, 27] Operation: 49-22=27
Moving to Node #0,2
Current State: 11:[55, 22, 46], Operations: ['95-49=46']
Exploring Operation: 46-22=24, Resulting Numbers: [55, 24]
Generated Node #0,2,0: 11:[55, 24] Operation: 46-22=24
Exploring Operation: 55-46=9, Resulting Numbers: [22, 9]
Generated Node #0,2,1: 11:[22, 9] Operation: 55-46=9
Exploring Operation: 55-22=33, Resulting Numbers: [46, 33]
Generated Node #0,2,2: 11:[46, 33] Operation: 55-22=33
Exploring Operation: 55+22=77, Resulting Numbers: [46, 77]
Generated Node #0,2,3: 11:[46, 77] Operation: 55+22=77
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 11:[22, 9], Operations: ['95-49=46', '55-46=9']
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,11 unequal: No Solution
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[55, 24], Operations: ['95-49=46', '46-22=24']
Exploring Operation: 55*24=1320, Resulting Numbers: [1320]
1320,11 unequal: No Solution
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 11:[46, 33], Operations: ['95-49=46', '55-22=33']
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,11 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 11:[46, 77], Operations: ['95-49=46', '55+22=77']
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 46+77=123, Resulting Numbers: [123]
123,11 unequal: No Solution
Exploring Operation: 46*77=3542, Resulting Numbers: [3542]
3542,11 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: 11:[22, 95, 6], Operations: ['55-49=6']
Exploring Operation: 22-6=16, Resulting Numbers: [95, 16]
Generated Node #0,3,0: 11:[95, 16] Operation: 22-6=16
Exploring Operation: 95-6=89, Resulting Numbers: [22, 89]
Generated Node #0,3,1: 11:[22, 89] Operation: 95-6=89
Exploring Operation: 22+6=28, Resulting Numbers: [95, 28]
Generated Node #0,3,2: 11:[95, 28] Operation: 22+6=28
Exploring Operation: 95-22=73, Resulting Numbers: [6, 73]
Generated Node #0,3,3: 11:[6, 73] Operation: 95-22=73
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[6, 73], Operations: ['55-49=6', '95-22=73']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[95, 16], Operations: ['55-49=6', '22-6=16']
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 95+16=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 95*16=1520, Resulting Numbers: [1520]
1520,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[22, 89], Operations: ['55-49=6', '95-6=89']
Exploring Operation: 22*89=1958, Resulting Numbers: [1958]
1958,11 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 22+89=111, Resulting Numbers: [111]
111,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[95, 28], Operations: ['55-49=6', '22+6=28']
Exploring Operation: 95+28=123, Resulting Numbers: [123]
123,11 unequal: No Solution
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 95*28=2660, Resulting Numbers: [2660]
2660,11 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: 11:[49, 95, 33], Operations: ['55-22=33']
Exploring Operation: 49+95=144, Resulting Numbers: [33, 144]
Generated Node #0,1,0: 11:[33, 144] Operation: 49+95=144
Exploring Operation: 95-33=62, Resulting Numbers: [49, 62]
Generated Node #0,1,1: 11:[49, 62] Operation: 95-33=62
Exploring Operation: 95-49=46, Resulting Numbers: [33, 46]
Generated Node #0,1,2: 11:[33, 46] Operation: 95-49=46
Exploring Operation: 49-33=16, Resulting Numbers: [95, 16]
Generated Node #0,1,3: 11:[95, 16] Operation: 49-33=16
Moving to Node #0,0,1
Current State: 11:[22, 9], Operations: ['95-55=40', '49-40=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[40, 27], Operations: ['95-55=40', '49-22=27']
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[49, 18], Operations: ['95-55=40', '40-22=18']
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,11 unequal: No Solution
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[33, 46], Operations: ['55-22=33', '95-49=46']
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 33*46=1518, Resulting Numbers: [1518]
1518,11 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[95, 16], Operations: ['55-22=33', '49-33=16']
Exploring Operation: 95+16=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 95*16=1520, Resulting Numbers: [1520]
1520,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[40, 71], Operations: ['95-55=40', '49+22=71']
Exploring Operation: 40*71=2840, Resulting Numbers: [2840]
2840,11 unequal: No Solution
Exploring Operation: 40+71=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[49, 62], Operations: ['55-22=33', '95-33=62']
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,11 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[33, 144], Operations: ['55-22=33', '49+95=144']
Exploring Operation: 144-33=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 33+144=177, Resulting Numbers: [177]
177,11 unequal: No Solution
Exploring Operation: 33*144=4752, Resulting Numbers: [4752]
4752,11 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
14,
79,
30,
68
] | 72 | [
"30+68=98",
"98/14=7",
"79-7=72"
] | Current State: 72:[14, 79, 30, 68], Operations: []
Exploring Operation: 30+68=98, Resulting Numbers: [14, 79, 98]
Generated Node #2: [14, 79, 98] from Operation: 30+68=98
Current State: 72:[14, 79, 98], Operations: ['30+68=98']
Exploring Operation: 98/14=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 98/14=7
Current State: 72:[79, 7], Operations: ['30+68=98', '98/14=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[14, 79, 30, 68], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [14, 30, 11]
Generated Node #0,0: 72:[14, 30, 11] Operation: 79-68=11
Exploring Operation: 68-30=38, Resulting Numbers: [14, 79, 38]
Generated Node #0,1: 72:[14, 79, 38] Operation: 68-30=38
Moving to Node #0,0
Current State: 72:[14, 30, 11], Operations: ['79-68=11']
Exploring Operation: 30-14=16, Resulting Numbers: [11, 16]
Generated Node #0,0,0: 72:[11, 16] Operation: 30-14=16
Exploring Operation: 30-11=19, Resulting Numbers: [14, 19]
Generated Node #0,0,1: 72:[14, 19] Operation: 30-11=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[11, 16], Operations: ['79-68=11', '30-14=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[14, 19], Operations: ['79-68=11', '30-11=19']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,72 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: 72:[14, 79, 38], Operations: ['68-30=38']
Exploring Operation: 79-38=41, Resulting Numbers: [14, 41]
Generated Node #0,1,0: 72:[14, 41] Operation: 79-38=41
Exploring Operation: 38-14=24, Resulting Numbers: [79, 24]
Generated Node #0,1,1: 72:[79, 24] Operation: 38-14=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[14, 41], Operations: ['68-30=38', '79-38=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,72 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 #0,1,1
Current State: 72:[79, 24], Operations: ['68-30=38', '38-14=24']
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 79+24=103, Resulting Numbers: [103]
103,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
91,
55,
37
] | 75 | [
"91-34=57",
"55-37=18",
"57+18=75"
] | Current State: 75:[34, 91, 55, 37], Operations: []
Exploring Operation: 91-34=57, Resulting Numbers: [55, 37, 57]
Generated Node #2: [55, 37, 57] from Operation: 91-34=57
Current State: 75:[55, 37, 57], Operations: ['91-34=57']
Exploring Operation: 55-37=18, Resulting Numbers: [57, 18]
Generated Node #3: [57, 18] from Operation: 55-37=18
Current State: 75:[57, 18], Operations: ['91-34=57', '55-37=18']
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[34, 91, 55, 37], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [91, 37, 21]
Generated Node #0,0: 75:[91, 37, 21] Operation: 55-34=21
Exploring Operation: 55-37=18, Resulting Numbers: [34, 91, 18]
Generated Node #0,1: 75:[34, 91, 18] Operation: 55-37=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[34, 91, 18], Operations: ['55-37=18']
Exploring Operation: 34-18=16, Resulting Numbers: [91, 16]
Generated Node #0,1,0: 75:[91, 16] Operation: 34-18=16
Exploring Operation: 91-18=73, Resulting Numbers: [34, 73]
Generated Node #0,1,1: 75:[34, 73] Operation: 91-18=73
Moving to Node #0,1,1
Current State: 75:[34, 73], Operations: ['55-37=18', '91-18=73']
Exploring Operation: 34+73=107, Resulting Numbers: [107]
107,75 unequal: No Solution
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[91, 16], Operations: ['55-37=18', '34-18=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[34, 91, 55, 37], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [34, 91, 18]
Generated Node #0,1: 75:[34, 91, 18] Operation: 55-37=18
Moving to Node #0,1
Current State: 75:[34, 91, 18], Operations: ['55-37=18']
Exploring Operation: 34-18=16, Resulting Numbers: [91, 16]
Generated Node #0,1,0: 75:[91, 16] Operation: 34-18=16
Moving to Node #0,1,0
Current State: 75:[91, 16], Operations: ['55-37=18', '34-18=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
53,
25,
32,
56
] | 16 | [
"53-25=28",
"32*28=896",
"896/56=16"
] | Current State: 16:[53, 25, 32, 56], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [32, 56, 28]
Generated Node #2: [32, 56, 28] from Operation: 53-25=28
Current State: 16:[32, 56, 28], Operations: ['53-25=28']
Exploring Operation: 32*28=896, Resulting Numbers: [56, 896]
Generated Node #3: [56, 896] from Operation: 32*28=896
Current State: 16:[56, 896], Operations: ['53-25=28', '32*28=896']
Exploring Operation: 896/56=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[53, 25, 32, 56], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [25, 32, 3]
Generated Node #0,0: 16:[25, 32, 3] Operation: 56-53=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[25, 32, 3], Operations: ['56-53=3']
Exploring Operation: 32-25=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 16:[3, 7] Operation: 32-25=7
Moving to Node #0,0,0
Current State: 16:[3, 7], Operations: ['56-53=3', '32-25=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,16 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 |
[
20,
15,
43,
54
] | 29 | [
"20*54=1080",
"1080/15=72",
"72-43=29"
] | Current State: 29:[20, 15, 43, 54], Operations: []
Exploring Operation: 20*54=1080, Resulting Numbers: [15, 43, 1080]
Generated Node #2: [15, 43, 1080] from Operation: 20*54=1080
Current State: 29:[15, 43, 1080], Operations: ['20*54=1080']
Exploring Operation: 1080/15=72, Resulting Numbers: [43, 72]
Generated Node #3: [43, 72] from Operation: 1080/15=72
Current State: 29:[43, 72], Operations: ['20*54=1080', '1080/15=72']
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[20, 15, 43, 54], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [20, 43, 39]
Generated Node #0,0: 29:[20, 43, 39] Operation: 54-15=39
Exploring Operation: 43-15=28, Resulting Numbers: [20, 54, 28]
Generated Node #0,1: 29:[20, 54, 28] Operation: 43-15=28
Exploring Operation: 54-20=34, Resulting Numbers: [15, 43, 34]
Generated Node #0,2: 29:[15, 43, 34] Operation: 54-20=34
Exploring Operation: 54-43=11, Resulting Numbers: [20, 15, 11]
Generated Node #0,3: 29:[20, 15, 11] Operation: 54-43=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[20, 43, 39], Operations: ['54-15=39']
Exploring Operation: 39-20=19, Resulting Numbers: [43, 19]
Generated Node #0,0,0: 29:[43, 19] Operation: 39-20=19
Exploring Operation: 20+43=63, Resulting Numbers: [39, 63]
Generated Node #0,0,1: 29:[39, 63] Operation: 20+43=63
Exploring Operation: 43-39=4, Resulting Numbers: [20, 4]
Generated Node #0,0,2: 29:[20, 4] Operation: 43-39=4
Exploring Operation: 43-20=23, Resulting Numbers: [39, 23]
Generated Node #0,0,3: 29:[39, 23] Operation: 43-20=23
Moving to Node #0,0,3
Current State: 29:[39, 23], Operations: ['54-15=39', '43-20=23']
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,29 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[43, 19], Operations: ['54-15=39', '39-20=19']
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[20, 4], Operations: ['54-15=39', '43-39=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[39, 63], Operations: ['54-15=39', '20+43=63']
Exploring Operation: 39+63=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 39*63=2457, Resulting Numbers: [2457]
2457,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[15, 43, 34], Operations: ['54-20=34']
Exploring Operation: 43-15=28, Resulting Numbers: [34, 28]
Generated Node #0,2,0: 29:[34, 28] Operation: 43-15=28
Exploring Operation: 15+34=49, Resulting Numbers: [43, 49]
Generated Node #0,2,1: 29:[43, 49] Operation: 15+34=49
Exploring Operation: 34-15=19, Resulting Numbers: [43, 19]
Generated Node #0,2,2: 29:[43, 19] Operation: 34-15=19
Exploring Operation: 15+43=58, Resulting Numbers: [34, 58]
Generated Node #0,2,3: 29:[34, 58] Operation: 15+43=58
Moving to Node #0,2,0
Current State: 29:[34, 28], Operations: ['54-20=34', '43-15=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,29 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[43, 19], Operations: ['54-20=34', '34-15=19']
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,29 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[34, 58], Operations: ['54-20=34', '15+43=58']
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,29 unequal: No Solution
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 34*58=1972, Resulting Numbers: [1972]
1972,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[43, 49], Operations: ['54-20=34', '15+34=49']
Exploring Operation: 43+49=92, Resulting Numbers: [92]
92,29 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 43*49=2107, Resulting Numbers: [2107]
2107,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[20, 54, 28], Operations: ['43-15=28']
Exploring Operation: 20+54=74, Resulting Numbers: [28, 74]
Generated Node #0,1,0: 29:[28, 74] Operation: 20+54=74
Exploring Operation: 20+28=48, Resulting Numbers: [54, 48]
Generated Node #0,1,1: 29:[54, 48] Operation: 20+28=48
Exploring Operation: 54-20=34, Resulting Numbers: [28, 34]
Generated Node #0,1,2: 29:[28, 34] Operation: 54-20=34
Exploring Operation: 54-28=26, Resulting Numbers: [20, 26]
Generated Node #0,1,3: 29:[20, 26] Operation: 54-28=26
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[28, 34], Operations: ['43-15=28', '54-20=34']
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,29 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 29:[20, 26], Operations: ['43-15=28', '54-28=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,29 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,29 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:[54, 48], Operations: ['43-15=28', '20+28=48']
Exploring Operation: 54-48=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 54+48=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 54*48=2592, Resulting Numbers: [2592]
2592,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[28, 74], Operations: ['43-15=28', '20+54=74']
Exploring Operation: 74-28=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 28+74=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 28*74=2072, Resulting Numbers: [2072]
2072,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[20, 15, 11], Operations: ['54-43=11']
Exploring Operation: 15+11=26, Resulting Numbers: [20, 26]
Generated Node #0,3,0: 29:[20, 26] Operation: 15+11=26
Exploring Operation: 20+11=31, Resulting Numbers: [15, 31]
Generated Node #0,3,1: 29:[15, 31] Operation: 20+11=31
Exploring Operation: 20+15=35, Resulting Numbers: [11, 35]
Generated Node #0,3,2: 29:[11, 35] Operation: 20+15=35
Exploring Operation: 20-11=9, Resulting Numbers: [15, 9]
Generated Node #0,3,3: 29:[15, 9] Operation: 20-11=9
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 29:[20, 26], Operations: ['54-43=11', '15+11=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,29 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 29:[15, 31], Operations: ['54-43=11', '20+11=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 29:[11, 35], Operations: ['54-43=11', '20+15=35']
Exploring Operation: 11*35=385, Resulting Numbers: [385]
385,29 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 29:[15, 9], Operations: ['54-43=11', '20-11=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,29 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
46,
66,
89,
53
] | 51 | [
"89-66=23",
"46/23=2",
"53-2=51"
] | Current State: 51:[46, 66, 89, 53], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [46, 53, 23]
Generated Node #2: [46, 53, 23] from Operation: 89-66=23
Current State: 51:[46, 53, 23], Operations: ['89-66=23']
Exploring Operation: 46/23=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 46/23=2
Current State: 51:[53, 2], Operations: ['89-66=23', '46/23=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[46, 66, 89, 53], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [46, 53, 23]
Generated Node #0,0: 51:[46, 53, 23] Operation: 89-66=23
Exploring Operation: 89-46=43, Resulting Numbers: [66, 53, 43]
Generated Node #0,1: 51:[66, 53, 43] Operation: 89-46=43
Exploring Operation: 89-53=36, Resulting Numbers: [46, 66, 36]
Generated Node #0,2: 51:[46, 66, 36] Operation: 89-53=36
Moving to Node #0,0
Current State: 51:[46, 53, 23], Operations: ['89-66=23']
Exploring Operation: 46/23=2, Resulting Numbers: [53, 2]
Generated Node #0,0,0: 51:[53, 2] Operation: 46/23=2
Exploring Operation: 46-23=23, Resulting Numbers: [53, 23]
Generated Node #0,0,1: 51:[53, 23] Operation: 46-23=23
Exploring Operation: 53-46=7, Resulting Numbers: [23, 7]
Generated Node #0,0,2: 51:[23, 7] Operation: 53-46=7
Moving to Node #0,1
Current State: 51:[66, 53, 43], Operations: ['89-46=43']
Exploring Operation: 53-43=10, Resulting Numbers: [66, 10]
Generated Node #0,1,0: 51:[66, 10] Operation: 53-43=10
Exploring Operation: 66-53=13, Resulting Numbers: [43, 13]
Generated Node #0,1,1: 51:[43, 13] Operation: 66-53=13
Exploring Operation: 66-43=23, Resulting Numbers: [53, 23]
Generated Node #0,1,2: 51:[53, 23] Operation: 66-43=23
Moving to Node #0,2
Current State: 51:[46, 66, 36], Operations: ['89-53=36']
Exploring Operation: 66-36=30, Resulting Numbers: [46, 30]
Generated Node #0,2,0: 51:[46, 30] Operation: 66-36=30
Exploring Operation: 46-36=10, Resulting Numbers: [66, 10]
Generated Node #0,2,1: 51:[66, 10] Operation: 46-36=10
Exploring Operation: 66-46=20, Resulting Numbers: [36, 20]
Generated Node #0,2,2: 51:[36, 20] Operation: 66-46=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[46, 30], Operations: ['89-53=36', '66-36=30']
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,51 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[36, 20], Operations: ['89-53=36', '66-46=20']
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,51 unequal: No Solution
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[66, 10], Operations: ['89-53=36', '46-36=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,51 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,51 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: 51:[53, 2], Operations: ['89-66=23', '46/23=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,51 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[46, 66, 89, 53], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [46, 53, 23]
Generated Node #0,0: 51:[46, 53, 23] Operation: 89-66=23
Moving to Node #0,0
Current State: 51:[46, 53, 23], Operations: ['89-66=23']
Exploring Operation: 46/23=2, Resulting Numbers: [53, 2]
Generated Node #0,0,0: 51:[53, 2] Operation: 46/23=2
Moving to Node #0,0,0
Current State: 51:[53, 2], Operations: ['89-66=23', '46/23=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
46,
22,
55,
49
] | 86 | [
"55-49=6",
"22*6=132",
"132-46=86"
] | Current State: 86:[46, 22, 55, 49], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [46, 22, 6]
Generated Node #2: [46, 22, 6] from Operation: 55-49=6
Current State: 86:[46, 22, 6], Operations: ['55-49=6']
Exploring Operation: 22*6=132, Resulting Numbers: [46, 132]
Generated Node #3: [46, 132] from Operation: 22*6=132
Current State: 86:[46, 132], Operations: ['55-49=6', '22*6=132']
Exploring Operation: 132-46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[46, 22, 55, 49], Operations: []
Exploring Operation: 22+55=77, Resulting Numbers: [46, 49, 77]
Generated Node #0,0: 86:[46, 49, 77] Operation: 22+55=77
Moving to Node #0,0
Current State: 86:[46, 49, 77], Operations: ['22+55=77']
Exploring Operation: 49-46=3, Resulting Numbers: [77, 3]
Generated Node #0,0,0: 86:[77, 3] Operation: 49-46=3
Moving to Node #0,0,0
Current State: 86:[77, 3], Operations: ['22+55=77', '49-46=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,86 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
51,
27,
47,
36
] | 67 | [
"51+27=78",
"47-36=11",
"78-11=67"
] | Current State: 67:[51, 27, 47, 36], Operations: []
Exploring Operation: 51+27=78, Resulting Numbers: [47, 36, 78]
Generated Node #2: [47, 36, 78] from Operation: 51+27=78
Current State: 67:[47, 36, 78], Operations: ['51+27=78']
Exploring Operation: 47-36=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 47-36=11
Current State: 67:[78, 11], Operations: ['51+27=78', '47-36=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[51, 27, 47, 36], Operations: []
Exploring Operation: 51+27=78, Resulting Numbers: [47, 36, 78]
Generated Node #0,0: 67:[47, 36, 78] Operation: 51+27=78
Exploring Operation: 47+36=83, Resulting Numbers: [51, 27, 83]
Generated Node #0,1: 67:[51, 27, 83] Operation: 47+36=83
Exploring Operation: 27+47=74, Resulting Numbers: [51, 36, 74]
Generated Node #0,2: 67:[51, 36, 74] Operation: 27+47=74
Exploring Operation: 27+36=63, Resulting Numbers: [51, 47, 63]
Generated Node #0,3: 67:[51, 47, 63] Operation: 27+36=63
Moving to Node #0,3
Current State: 67:[51, 47, 63], Operations: ['27+36=63']
Exploring Operation: 51+47=98, Resulting Numbers: [63, 98]
Generated Node #0,3,0: 67:[63, 98] Operation: 51+47=98
Exploring Operation: 51+63=114, Resulting Numbers: [47, 114]
Generated Node #0,3,1: 67:[47, 114] Operation: 51+63=114
Exploring Operation: 51-47=4, Resulting Numbers: [63, 4]
Generated Node #0,3,2: 67:[63, 4] Operation: 51-47=4
Exploring Operation: 47+63=110, Resulting Numbers: [51, 110]
Generated Node #0,3,3: 67:[51, 110] Operation: 47+63=110
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 67:[63, 98], Operations: ['27+36=63', '51+47=98']
Exploring Operation: 63*98=6174, Resulting Numbers: [6174]
6174,67 unequal: No Solution
Exploring Operation: 63+98=161, Resulting Numbers: [161]
161,67 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,67 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 #0,3,3
Current State: 67:[51, 110], Operations: ['27+36=63', '47+63=110']
Exploring Operation: 110-51=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Exploring Operation: 51*110=5610, Resulting Numbers: [5610]
5610,67 unequal: No Solution
Exploring Operation: 51+110=161, Resulting Numbers: [161]
161,67 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 #0,3,1
Current State: 67:[47, 114], Operations: ['27+36=63', '51+63=114']
Exploring Operation: 114-47=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[51, 27, 47, 36], Operations: []
Exploring Operation: 27+36=63, Resulting Numbers: [51, 47, 63]
Generated Node #0,3: 67:[51, 47, 63] Operation: 27+36=63
Moving to Node #0,3
Current State: 67:[51, 47, 63], Operations: ['27+36=63']
Exploring Operation: 51+63=114, Resulting Numbers: [47, 114]
Generated Node #0,3,1: 67:[47, 114] Operation: 51+63=114
Moving to Node #0,3,1
Current State: 67:[47, 114], Operations: ['27+36=63', '51+63=114']
Exploring Operation: 114-47=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
24,
6,
69,
24
] | 74 | [
"24/24=1",
"6+69=75",
"75-1=74"
] | Current State: 74:[24, 6, 69, 24], Operations: []
Exploring Operation: 24/24=1, Resulting Numbers: [6, 69, 1]
Generated Node #2: [6, 69, 1] from Operation: 24/24=1
Current State: 74:[6, 69, 1], Operations: ['24/24=1']
Exploring Operation: 6+69=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 6+69=75
Current State: 74:[1, 75], Operations: ['24/24=1', '6+69=75']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[24, 6, 69, 24], Operations: []
Exploring Operation: 24+24=48, Resulting Numbers: [6, 69, 48]
Generated Node #0,0: 74:[6, 69, 48] Operation: 24+24=48
Exploring Operation: 24/6=4, Resulting Numbers: [69, 24, 4]
Generated Node #0,1: 74:[69, 24, 4] Operation: 24/6=4
Exploring Operation: 24/24=1, Resulting Numbers: [6, 69, 1]
Generated Node #0,2: 74:[6, 69, 1] Operation: 24/24=1
Exploring Operation: 24-24=0, Resulting Numbers: [6, 69, 0]
Generated Node #0,3: 74:[6, 69, 0] Operation: 24-24=0
Moving to Node #0,2
Current State: 74:[6, 69, 1], Operations: ['24/24=1']
Exploring Operation: 6-1=5, Resulting Numbers: [69, 5]
Generated Node #0,2,0: 74:[69, 5] Operation: 6-1=5
Exploring Operation: 6*1=6, Resulting Numbers: [69, 6]
Generated Node #0,2,1: 74:[69, 6] Operation: 6*1=6
Exploring Operation: 6+69=75, Resulting Numbers: [1, 75]
Generated Node #0,2,2: 74:[1, 75] Operation: 6+69=75
Exploring Operation: 69+1=70, Resulting Numbers: [6, 70]
Generated Node #0,2,3: 74:[6, 70] Operation: 69+1=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[1, 75], Operations: ['24/24=1', '6+69=75']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[24, 6, 69, 24], Operations: []
Exploring Operation: 24/24=1, Resulting Numbers: [6, 69, 1]
Generated Node #0,2: 74:[6, 69, 1] Operation: 24/24=1
Moving to Node #0,2
Current State: 74:[6, 69, 1], Operations: ['24/24=1']
Exploring Operation: 6+69=75, Resulting Numbers: [1, 75]
Generated Node #0,2,2: 74:[1, 75] Operation: 6+69=75
Moving to Node #0,2,2
Current State: 74:[1, 75], Operations: ['24/24=1', '6+69=75']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
20,
9,
84,
3
] | 91 | [
"84-20=64",
"9*3=27",
"64+27=91"
] | Current State: 91:[20, 9, 84, 3], Operations: []
Exploring Operation: 84-20=64, Resulting Numbers: [9, 3, 64]
Generated Node #2: [9, 3, 64] from Operation: 84-20=64
Current State: 91:[9, 3, 64], Operations: ['84-20=64']
Exploring Operation: 9*3=27, Resulting Numbers: [64, 27]
Generated Node #3: [64, 27] from Operation: 9*3=27
Current State: 91:[64, 27], Operations: ['84-20=64', '9*3=27']
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[20, 9, 84, 3], Operations: []
Exploring Operation: 9+84=93, Resulting Numbers: [20, 3, 93]
Generated Node #0,0: 91:[20, 3, 93] Operation: 9+84=93
Exploring Operation: 84+3=87, Resulting Numbers: [20, 9, 87]
Generated Node #0,1: 91:[20, 9, 87] Operation: 84+3=87
Exploring Operation: 20-9=11, Resulting Numbers: [84, 3, 11]
Generated Node #0,2: 91:[84, 3, 11] Operation: 20-9=11
Exploring Operation: 20-3=17, Resulting Numbers: [9, 84, 17]
Generated Node #0,3: 91:[9, 84, 17] Operation: 20-3=17
Moving to Node #0,0
Current State: 91:[20, 3, 93], Operations: ['9+84=93']
Exploring Operation: 3+93=96, Resulting Numbers: [20, 96]
Generated Node #0,0,0: 91:[20, 96] Operation: 3+93=96
Exploring Operation: 93-3=90, Resulting Numbers: [20, 90]
Generated Node #0,0,1: 91:[20, 90] Operation: 93-3=90
Exploring Operation: 20+3=23, Resulting Numbers: [93, 23]
Generated Node #0,0,2: 91:[93, 23] Operation: 20+3=23
Exploring Operation: 20-3=17, Resulting Numbers: [93, 17]
Generated Node #0,0,3: 91:[93, 17] Operation: 20-3=17
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[93, 17], Operations: ['9+84=93', '20-3=17']
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,91 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,91 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:[20, 90], Operations: ['9+84=93', '93-3=90']
Exploring Operation: 20*90=1800, Resulting Numbers: [1800]
1800,91 unequal: No Solution
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 20+90=110, Resulting Numbers: [110]
110,91 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:[20, 96], Operations: ['9+84=93', '3+93=96']
Exploring Operation: 20+96=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 20*96=1920, Resulting Numbers: [1920]
1920,91 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 #0,0,2
Current State: 91:[93, 23], Operations: ['9+84=93', '20+3=23']
Exploring Operation: 93+23=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 93*23=2139, Resulting Numbers: [2139]
2139,91 unequal: No Solution
Exploring Operation: 93-23=70, Resulting Numbers: [70]
70,91 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: 91:[84, 3, 11], Operations: ['20-9=11']
Exploring Operation: 84+3=87, Resulting Numbers: [11, 87]
Generated Node #0,2,0: 91:[11, 87] Operation: 84+3=87
Exploring Operation: 3+11=14, Resulting Numbers: [84, 14]
Generated Node #0,2,1: 91:[84, 14] Operation: 3+11=14
Exploring Operation: 11-3=8, Resulting Numbers: [84, 8]
Generated Node #0,2,2: 91:[84, 8] Operation: 11-3=8
Exploring Operation: 84+11=95, Resulting Numbers: [3, 95]
Generated Node #0,2,3: 91:[3, 95] Operation: 84+11=95
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[11, 87], Operations: ['20-9=11', '84+3=87']
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 11*87=957, Resulting Numbers: [957]
957,91 unequal: No Solution
Exploring Operation: 11+87=98, Resulting Numbers: [98]
98,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[84, 14], Operations: ['20-9=11', '3+11=14']
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 84*14=1176, Resulting Numbers: [1176]
1176,91 unequal: No Solution
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[84, 8], Operations: ['20-9=11', '11-3=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,91 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[3, 95], Operations: ['20-9=11', '84+11=95']
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Exploring Operation: 3*95=285, Resulting Numbers: [285]
285,91 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,91 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: 91:[20, 9, 87], Operations: ['84+3=87']
Exploring Operation: 20-9=11, Resulting Numbers: [87, 11]
Generated Node #0,1,0: 91:[87, 11] Operation: 20-9=11
Exploring Operation: 20+87=107, Resulting Numbers: [9, 107]
Generated Node #0,1,1: 91:[9, 107] Operation: 20+87=107
Exploring Operation: 20+9=29, Resulting Numbers: [87, 29]
Generated Node #0,1,2: 91:[87, 29] Operation: 20+9=29
Exploring Operation: 9+87=96, Resulting Numbers: [20, 96]
Generated Node #0,1,3: 91:[20, 96] Operation: 9+87=96
Moving to Node #0,3
Current State: 91:[9, 84, 17], Operations: ['20-3=17']
Exploring Operation: 84-9=75, Resulting Numbers: [17, 75]
Generated Node #0,3,0: 91:[17, 75] Operation: 84-9=75
Exploring Operation: 9+84=93, Resulting Numbers: [17, 93]
Generated Node #0,3,1: 91:[17, 93] Operation: 9+84=93
Exploring Operation: 84+17=101, Resulting Numbers: [9, 101]
Generated Node #0,3,2: 91:[9, 101] Operation: 84+17=101
Exploring Operation: 17-9=8, Resulting Numbers: [84, 8]
Generated Node #0,3,3: 91:[84, 8] Operation: 17-9=8
Moving to Node #0,1,0
Current State: 91:[87, 11], Operations: ['84+3=87', '20-9=11']
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 87*11=957, Resulting Numbers: [957]
957,91 unequal: No Solution
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[17, 93], Operations: ['20-3=17', '9+84=93']
Exploring Operation: 17+93=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 17*93=1581, Resulting Numbers: [1581]
1581,91 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[84, 8], Operations: ['20-3=17', '17-9=8']
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,91 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[9, 101], Operations: ['20-3=17', '84+17=101']
Exploring Operation: 101-9=92, Resulting Numbers: [92]
92,91 unequal: No Solution
Exploring Operation: 9*101=909, Resulting Numbers: [909]
909,91 unequal: No Solution
Exploring Operation: 9+101=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[20, 96], Operations: ['84+3=87', '9+87=96']
Exploring Operation: 20*96=1920, Resulting Numbers: [1920]
1920,91 unequal: No Solution
Exploring Operation: 20+96=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[9, 107], Operations: ['84+3=87', '20+87=107']
Exploring Operation: 107-9=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Exploring Operation: 9+107=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 9*107=963, Resulting Numbers: [963]
963,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[87, 29], Operations: ['84+3=87', '20+9=29']
Exploring Operation: 87*29=2523, Resulting Numbers: [2523]
2523,91 unequal: No Solution
Exploring Operation: 87/29=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 87+29=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 87-29=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[17, 75], Operations: ['20-3=17', '84-9=75']
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Exploring Operation: 17*75=1275, Resulting Numbers: [1275]
1275,91 unequal: No Solution
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,91 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
80,
10,
99,
40
] | 15 | [
"99-80=19",
"40/10=4",
"19-4=15"
] | Current State: 15:[80, 10, 99, 40], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [10, 40, 19]
Generated Node #2: [10, 40, 19] from Operation: 99-80=19
Current State: 15:[10, 40, 19], Operations: ['99-80=19']
Exploring Operation: 40/10=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 40/10=4
Current State: 15:[19, 4], Operations: ['99-80=19', '40/10=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[80, 10, 99, 40], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [10, 40, 19]
Generated Node #0,0: 15:[10, 40, 19] Operation: 99-80=19
Exploring Operation: 80/10=8, Resulting Numbers: [99, 40, 8]
Generated Node #0,1: 15:[99, 40, 8] Operation: 80/10=8
Exploring Operation: 80/40=2, Resulting Numbers: [10, 99, 2]
Generated Node #0,2: 15:[10, 99, 2] Operation: 80/40=2
Exploring Operation: 99-40=59, Resulting Numbers: [80, 10, 59]
Generated Node #0,3: 15:[80, 10, 59] Operation: 99-40=59
Exploring Operation: 80-40=40, Resulting Numbers: [10, 99, 40]
Generated Node #0,4: 15:[10, 99, 40] Operation: 80-40=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[10, 40, 19], Operations: ['99-80=19']
Exploring Operation: 40/10=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 15:[19, 4] Operation: 40/10=4
Exploring Operation: 40-10=30, Resulting Numbers: [19, 30]
Generated Node #0,0,1: 15:[19, 30] Operation: 40-10=30
Exploring Operation: 40-19=21, Resulting Numbers: [10, 21]
Generated Node #0,0,2: 15:[10, 21] Operation: 40-19=21
Exploring Operation: 19-10=9, Resulting Numbers: [40, 9]
Generated Node #0,0,3: 15:[40, 9] Operation: 19-10=9
Exploring Operation: 10+40=50, Resulting Numbers: [19, 50]
Generated Node #0,0,4: 15:[19, 50] Operation: 10+40=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[19, 4], Operations: ['99-80=19', '40/10=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[80, 10, 99, 40], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [10, 40, 19]
Generated Node #0,0: 15:[10, 40, 19] Operation: 99-80=19
Moving to Node #0,0
Current State: 15:[10, 40, 19], Operations: ['99-80=19']
Exploring Operation: 40/10=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 15:[19, 4] Operation: 40/10=4
Moving to Node #0,0,0
Current State: 15:[19, 4], Operations: ['99-80=19', '40/10=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
78,
95,
9,
5
] | 40 | [
"95-78=17",
"17-9=8",
"5*8=40"
] | Current State: 40:[78, 95, 9, 5], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [9, 5, 17]
Generated Node #2: [9, 5, 17] from Operation: 95-78=17
Current State: 40:[9, 5, 17], Operations: ['95-78=17']
Exploring Operation: 17-9=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 17-9=8
Current State: 40:[5, 8], Operations: ['95-78=17', '17-9=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[78, 95, 9, 5], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [78, 9, 19]
Generated Node #0,0: 40:[78, 9, 19] Operation: 95/5=19
Exploring Operation: 95-78=17, Resulting Numbers: [9, 5, 17]
Generated Node #0,1: 40:[9, 5, 17] Operation: 95-78=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[9, 5, 17], Operations: ['95-78=17']
Exploring Operation: 17-9=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 40:[5, 8] Operation: 17-9=8
Exploring Operation: 9-5=4, Resulting Numbers: [17, 4]
Generated Node #0,1,1: 40:[17, 4] Operation: 9-5=4
Moving to Node #0,1,0
Current State: 40:[5, 8], Operations: ['95-78=17', '17-9=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[78, 95, 9, 5], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [9, 5, 17]
Generated Node #0,1: 40:[9, 5, 17] Operation: 95-78=17
Moving to Node #0,1
Current State: 40:[9, 5, 17], Operations: ['95-78=17']
Exploring Operation: 17-9=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 40:[5, 8] Operation: 17-9=8
Moving to Node #0,1,0
Current State: 40:[5, 8], Operations: ['95-78=17', '17-9=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
70,
40,
23,
37
] | 31 | [
"70+23=93",
"40-37=3",
"93/3=31"
] | Current State: 31:[70, 40, 23, 37], Operations: []
Exploring Operation: 70+23=93, Resulting Numbers: [40, 37, 93]
Generated Node #2: [40, 37, 93] from Operation: 70+23=93
Current State: 31:[40, 37, 93], Operations: ['70+23=93']
Exploring Operation: 40-37=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 40-37=3
Current State: 31:[93, 3], Operations: ['70+23=93', '40-37=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[70, 40, 23, 37], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [40, 23, 33]
Generated Node #0,0: 31:[40, 23, 33] Operation: 70-37=33
Exploring Operation: 70-40=30, Resulting Numbers: [23, 37, 30]
Generated Node #0,1: 31:[23, 37, 30] Operation: 70-40=30
Moving to Node #0,1
Current State: 31:[23, 37, 30], Operations: ['70-40=30']
Exploring Operation: 23+30=53, Resulting Numbers: [37, 53]
Generated Node #0,1,0: 31:[37, 53] Operation: 23+30=53
Exploring Operation: 37-23=14, Resulting Numbers: [30, 14]
Generated Node #0,1,1: 31:[30, 14] Operation: 37-23=14
Moving to Node #0,0
Current State: 31:[40, 23, 33], Operations: ['70-37=33']
Exploring Operation: 33-23=10, Resulting Numbers: [40, 10]
Generated Node #0,0,0: 31:[40, 10] Operation: 33-23=10
Exploring Operation: 40-23=17, Resulting Numbers: [33, 17]
Generated Node #0,0,1: 31:[33, 17] Operation: 40-23=17
Moving to Node #0,0,1
Current State: 31:[33, 17], Operations: ['70-37=33', '40-23=17']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[30, 14], Operations: ['70-40=30', '37-23=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[37, 53], Operations: ['70-40=30', '23+30=53']
Exploring Operation: 37+53=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[40, 10], Operations: ['70-37=33', '33-23=10']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,31 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
5,
76,
98,
7
] | 75 | [
"98-76=22",
"22-7=15",
"5*15=75"
] | Current State: 75:[5, 76, 98, 7], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [5, 7, 22]
Generated Node #2: [5, 7, 22] from Operation: 98-76=22
Current State: 75:[5, 7, 22], Operations: ['98-76=22']
Exploring Operation: 22-7=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 22-7=15
Current State: 75:[5, 15], Operations: ['98-76=22', '22-7=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[5, 76, 98, 7], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [5, 76, 14]
Generated Node #0,0: 75:[5, 76, 14] Operation: 98/7=14
Moving to Node #0,0
Current State: 75:[5, 76, 14], Operations: ['98/7=14']
Exploring Operation: 76-5=71, Resulting Numbers: [14, 71]
Generated Node #0,0,0: 75:[14, 71] Operation: 76-5=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[14, 71], Operations: ['98/7=14', '76-5=71']
Exploring Operation: 14+71=85, Resulting Numbers: [85]
85,75 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 |
[
92,
98,
60,
94
] | 28 | [
"98-92=6",
"94-60=34",
"34-6=28"
] | Current State: 28:[92, 98, 60, 94], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [60, 94, 6]
Generated Node #2: [60, 94, 6] from Operation: 98-92=6
Current State: 28:[60, 94, 6], Operations: ['98-92=6']
Exploring Operation: 94-60=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 94-60=34
Current State: 28:[6, 34], Operations: ['98-92=6', '94-60=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[92, 98, 60, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [98, 60, 2]
Generated Node #0,0: 28:[98, 60, 2] Operation: 94-92=2
Exploring Operation: 98-94=4, Resulting Numbers: [92, 60, 4]
Generated Node #0,1: 28:[92, 60, 4] Operation: 98-94=4
Exploring Operation: 92-60=32, Resulting Numbers: [98, 94, 32]
Generated Node #0,2: 28:[98, 94, 32] Operation: 92-60=32
Exploring Operation: 98-92=6, Resulting Numbers: [60, 94, 6]
Generated Node #0,3: 28:[60, 94, 6] Operation: 98-92=6
Moving to Node #0,1
Current State: 28:[92, 60, 4], Operations: ['98-94=4']
Exploring Operation: 92-4=88, Resulting Numbers: [60, 88]
Generated Node #0,1,0: 28:[60, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [60, 23]
Generated Node #0,1,1: 28:[60, 23] Operation: 92/4=23
Exploring Operation: 60/4=15, Resulting Numbers: [92, 15]
Generated Node #0,1,2: 28:[92, 15] Operation: 60/4=15
Exploring Operation: 92-60=32, Resulting Numbers: [4, 32]
Generated Node #0,1,3: 28:[4, 32] Operation: 92-60=32
Moving to Node #0,3
Current State: 28:[60, 94, 6], Operations: ['98-92=6']
Exploring Operation: 60-6=54, Resulting Numbers: [94, 54]
Generated Node #0,3,0: 28:[94, 54] Operation: 60-6=54
Exploring Operation: 94-6=88, Resulting Numbers: [60, 88]
Generated Node #0,3,1: 28:[60, 88] Operation: 94-6=88
Exploring Operation: 60/6=10, Resulting Numbers: [94, 10]
Generated Node #0,3,2: 28:[94, 10] Operation: 60/6=10
Exploring Operation: 94-60=34, Resulting Numbers: [6, 34]
Generated Node #0,3,3: 28:[6, 34] Operation: 94-60=34
Moving to Node #0,0
Current State: 28:[98, 60, 2], Operations: ['94-92=2']
Exploring Operation: 98-60=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 28:[2, 38] Operation: 98-60=38
Exploring Operation: 98-2=96, Resulting Numbers: [60, 96]
Generated Node #0,0,1: 28:[60, 96] Operation: 98-2=96
Exploring Operation: 60/2=30, Resulting Numbers: [98, 30]
Generated Node #0,0,2: 28:[98, 30] Operation: 60/2=30
Exploring Operation: 98/2=49, Resulting Numbers: [60, 49]
Generated Node #0,0,3: 28:[60, 49] Operation: 98/2=49
Moving to Node #0,2
Current State: 28:[98, 94, 32], Operations: ['92-60=32']
Exploring Operation: 98-94=4, Resulting Numbers: [32, 4]
Generated Node #0,2,0: 28:[32, 4] Operation: 98-94=4
Exploring Operation: 98+94=192, Resulting Numbers: [32, 192]
Generated Node #0,2,1: 28:[32, 192] Operation: 98+94=192
Exploring Operation: 98-32=66, Resulting Numbers: [94, 66]
Generated Node #0,2,2: 28:[94, 66] Operation: 98-32=66
Exploring Operation: 94-32=62, Resulting Numbers: [98, 62]
Generated Node #0,2,3: 28:[98, 62] Operation: 94-32=62
Moving to Node #0,1,3
Current State: 28:[4, 32], Operations: ['98-94=4', '92-60=32']
Exploring Operation: 4*32=128, Resulting Numbers: [128]
128,28 unequal: No Solution
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[92, 98, 60, 94], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [92, 60, 4]
Generated Node #0,1: 28:[92, 60, 4] Operation: 98-94=4
Moving to Node #0,1
Current State: 28:[92, 60, 4], Operations: ['98-94=4']
Exploring Operation: 92-60=32, Resulting Numbers: [4, 32]
Generated Node #0,1,3: 28:[4, 32] Operation: 92-60=32
Moving to Node #0,1,3
Current State: 28:[4, 32], Operations: ['98-94=4', '92-60=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.975694 | hs_4 | sum_heuristic |
[
19,
89,
63,
93
] | 40 | [
"89-19=70",
"93-63=30",
"70-30=40"
] | Current State: 40:[19, 89, 63, 93], Operations: []
Exploring Operation: 89-19=70, Resulting Numbers: [63, 93, 70]
Generated Node #2: [63, 93, 70] from Operation: 89-19=70
Current State: 40:[63, 93, 70], Operations: ['89-19=70']
Exploring Operation: 93-63=30, Resulting Numbers: [70, 30]
Generated Node #3: [70, 30] from Operation: 93-63=30
Current State: 40:[70, 30], Operations: ['89-19=70', '93-63=30']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[19, 89, 63, 93], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [19, 93, 26]
Generated Node #0,0: 40:[19, 93, 26] Operation: 89-63=26
Exploring Operation: 93-89=4, Resulting Numbers: [19, 63, 4]
Generated Node #0,1: 40:[19, 63, 4] Operation: 93-89=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[19, 63, 4], Operations: ['93-89=4']
Exploring Operation: 63-4=59, Resulting Numbers: [19, 59]
Generated Node #0,1,0: 40:[19, 59] Operation: 63-4=59
Exploring Operation: 63-19=44, Resulting Numbers: [4, 44]
Generated Node #0,1,1: 40:[4, 44] Operation: 63-19=44
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[4, 44], Operations: ['93-89=4', '63-19=44']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[19, 89, 63, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [19, 63, 4]
Generated Node #0,1: 40:[19, 63, 4] Operation: 93-89=4
Moving to Node #0,1
Current State: 40:[19, 63, 4], Operations: ['93-89=4']
Exploring Operation: 63-19=44, Resulting Numbers: [4, 44]
Generated Node #0,1,1: 40:[4, 44] Operation: 63-19=44
Moving to Node #0,1,1
Current State: 40:[4, 44], Operations: ['93-89=4', '63-19=44']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
51,
82,
74,
4
] | 48 | [
"51*4=204",
"82+74=156",
"204-156=48"
] | Current State: 48:[51, 82, 74, 4], Operations: []
Exploring Operation: 51*4=204, Resulting Numbers: [82, 74, 204]
Generated Node #2: [82, 74, 204] from Operation: 51*4=204
Current State: 48:[82, 74, 204], Operations: ['51*4=204']
Exploring Operation: 82+74=156, Resulting Numbers: [204, 156]
Generated Node #3: [204, 156] from Operation: 82+74=156
Current State: 48:[204, 156], Operations: ['51*4=204', '82+74=156']
Exploring Operation: 204-156=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[51, 82, 74, 4], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [82, 4, 23]
Generated Node #0,0: 48:[82, 4, 23] Operation: 74-51=23
Exploring Operation: 82-74=8, Resulting Numbers: [51, 4, 8]
Generated Node #0,1: 48:[51, 4, 8] Operation: 82-74=8
Exploring Operation: 82-51=31, Resulting Numbers: [74, 4, 31]
Generated Node #0,2: 48:[74, 4, 31] Operation: 82-51=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[51, 4, 8], Operations: ['82-74=8']
Exploring Operation: 4+8=12, Resulting Numbers: [51, 12]
Generated Node #0,1,0: 48:[51, 12] Operation: 4+8=12
Exploring Operation: 51-4=47, Resulting Numbers: [8, 47]
Generated Node #0,1,1: 48:[8, 47] Operation: 51-4=47
Exploring Operation: 8-4=4, Resulting Numbers: [51, 4]
Generated Node #0,1,2: 48:[51, 4] Operation: 8-4=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 48:[8, 47], Operations: ['82-74=8', '51-4=47']
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,48 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[51, 12], Operations: ['82-74=8', '4+8=12']
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,48 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 48:[51, 4], Operations: ['82-74=8', '8-4=4']
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,48 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[74, 4, 31], Operations: ['82-51=31']
Exploring Operation: 31-4=27, Resulting Numbers: [74, 27]
Generated Node #0,2,0: 48:[74, 27] Operation: 31-4=27
Exploring Operation: 74-31=43, Resulting Numbers: [4, 43]
Generated Node #0,2,1: 48:[4, 43] Operation: 74-31=43
Exploring Operation: 74-4=70, Resulting Numbers: [31, 70]
Generated Node #0,2,2: 48:[31, 70] Operation: 74-4=70
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[4, 43], Operations: ['82-51=31', '74-31=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,48 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[74, 27], Operations: ['82-51=31', '31-4=27']
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,48 unequal: No Solution
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,48 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 48:[31, 70], Operations: ['82-51=31', '74-4=70']
Exploring Operation: 31*70=2170, Resulting Numbers: [2170]
2170,48 unequal: No Solution
Exploring Operation: 31+70=101, Resulting Numbers: [101]
101,48 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[82, 4, 23], Operations: ['74-51=23']
Exploring Operation: 4+23=27, Resulting Numbers: [82, 27]
Generated Node #0,0,0: 48:[82, 27] Operation: 4+23=27
Exploring Operation: 82-4=78, Resulting Numbers: [23, 78]
Generated Node #0,0,1: 48:[23, 78] Operation: 82-4=78
Exploring Operation: 82-23=59, Resulting Numbers: [4, 59]
Generated Node #0,0,2: 48:[4, 59] Operation: 82-23=59
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[4, 59], Operations: ['74-51=23', '82-23=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[23, 78], Operations: ['74-51=23', '82-4=78']
Exploring Operation: 23+78=101, Resulting Numbers: [101]
101,48 unequal: No Solution
Exploring Operation: 23*78=1794, Resulting Numbers: [1794]
1794,48 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[82, 27], Operations: ['74-51=23', '4+23=27']
Exploring Operation: 82*27=2214, Resulting Numbers: [2214]
2214,48 unequal: No Solution
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 82+27=109, Resulting Numbers: [109]
109,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
64,
6,
32
] | 32 | [
"5*6=30",
"64/32=2",
"30+2=32"
] | Current State: 32:[5, 64, 6, 32], Operations: []
Exploring Operation: 5*6=30, Resulting Numbers: [64, 32, 30]
Generated Node #2: [64, 32, 30] from Operation: 5*6=30
Current State: 32:[64, 32, 30], Operations: ['5*6=30']
Exploring Operation: 64/32=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 64/32=2
Current State: 32:[30, 2], Operations: ['5*6=30', '64/32=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[5, 64, 6, 32], Operations: []
Exploring Operation: 64-32=32, Resulting Numbers: [5, 6, 32]
Generated Node #0,0: 32:[5, 6, 32] Operation: 64-32=32
Moving to Node #0,0
Current State: 32:[5, 6, 32], Operations: ['64-32=32']
Exploring Operation: 6-5=1, Resulting Numbers: [32, 1]
Generated Node #0,0,0: 32:[32, 1] Operation: 6-5=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[32, 1], Operations: ['64-32=32', '6-5=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[5, 64, 6, 32], Operations: []
Exploring Operation: 64-32=32, Resulting Numbers: [5, 6, 32]
Generated Node #0,0: 32:[5, 6, 32] Operation: 64-32=32
Moving to Node #0,0
Current State: 32:[5, 6, 32], Operations: ['64-32=32']
Exploring Operation: 6-5=1, Resulting Numbers: [32, 1]
Generated Node #0,0,0: 32:[32, 1] Operation: 6-5=1
Moving to Node #0,0,0
Current State: 32:[32, 1], Operations: ['64-32=32', '6-5=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
27,
90,
40,
42
] | 46 | [
"42-27=15",
"90/15=6",
"40+6=46"
] | Current State: 46:[27, 90, 40, 42], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [90, 40, 15]
Generated Node #2: [90, 40, 15] from Operation: 42-27=15
Current State: 46:[90, 40, 15], Operations: ['42-27=15']
Exploring Operation: 90/15=6, Resulting Numbers: [40, 6]
Generated Node #3: [40, 6] from Operation: 90/15=6
Current State: 46:[40, 6], Operations: ['42-27=15', '90/15=6']
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[27, 90, 40, 42], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [27, 42, 50]
Generated Node #0,0: 46:[27, 42, 50] Operation: 90-40=50
Exploring Operation: 90-42=48, Resulting Numbers: [27, 40, 48]
Generated Node #0,1: 46:[27, 40, 48] Operation: 90-42=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[27, 42, 50], Operations: ['90-40=50']
Exploring Operation: 50-42=8, Resulting Numbers: [27, 8]
Generated Node #0,0,0: 46:[27, 8] Operation: 50-42=8
Exploring Operation: 50-27=23, Resulting Numbers: [42, 23]
Generated Node #0,0,1: 46:[42, 23] Operation: 50-27=23
Moving to Node #0,0,1
Current State: 46:[42, 23], Operations: ['90-40=50', '50-27=23']
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[27, 8], Operations: ['90-40=50', '50-42=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[27, 40, 48], Operations: ['90-42=48']
Exploring Operation: 48-40=8, Resulting Numbers: [27, 8]
Generated Node #0,1,0: 46:[27, 8] Operation: 48-40=8
Exploring Operation: 48-27=21, Resulting Numbers: [40, 21]
Generated Node #0,1,1: 46:[40, 21] Operation: 48-27=21
Moving to Node #0,1,1
Current State: 46:[40, 21], Operations: ['90-42=48', '48-27=21']
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[27, 8], Operations: ['90-42=48', '48-40=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,46 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 |
[
28,
74,
98,
49
] | 18 | [
"28*98=2744",
"2744/49=56",
"74-56=18"
] | Current State: 18:[28, 74, 98, 49], Operations: []
Exploring Operation: 28*98=2744, Resulting Numbers: [74, 49, 2744]
Generated Node #2: [74, 49, 2744] from Operation: 28*98=2744
Current State: 18:[74, 49, 2744], Operations: ['28*98=2744']
Exploring Operation: 2744/49=56, Resulting Numbers: [74, 56]
Generated Node #3: [74, 56] from Operation: 2744/49=56
Current State: 18:[74, 56], Operations: ['28*98=2744', '2744/49=56']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[28, 74, 98, 49], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [28, 49, 24]
Generated Node #0,0: 18:[28, 49, 24] Operation: 98-74=24
Exploring Operation: 98-49=49, Resulting Numbers: [28, 74, 49]
Generated Node #0,1: 18:[28, 74, 49] Operation: 98-49=49
Exploring Operation: 98/49=2, Resulting Numbers: [28, 74, 2]
Generated Node #0,2: 18:[28, 74, 2] Operation: 98/49=2
Exploring Operation: 74-49=25, Resulting Numbers: [28, 98, 25]
Generated Node #0,3: 18:[28, 98, 25] Operation: 74-49=25
Moving to Node #0,0
Current State: 18:[28, 49, 24], Operations: ['98-74=24']
Exploring Operation: 49-28=21, Resulting Numbers: [24, 21]
Generated Node #0,0,0: 18:[24, 21] Operation: 49-28=21
Exploring Operation: 28+49=77, Resulting Numbers: [24, 77]
Generated Node #0,0,1: 18:[24, 77] Operation: 28+49=77
Exploring Operation: 28-24=4, Resulting Numbers: [49, 4]
Generated Node #0,0,2: 18:[49, 4] Operation: 28-24=4
Exploring Operation: 49-24=25, Resulting Numbers: [28, 25]
Generated Node #0,0,3: 18:[28, 25] Operation: 49-24=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[24, 21], Operations: ['98-74=24', '49-28=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,18 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 #0,0,3
Current State: 18:[28, 25], Operations: ['98-74=24', '49-24=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,18 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 #0,0,2
Current State: 18:[49, 4], Operations: ['98-74=24', '28-24=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,18 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 #0,0,1
Current State: 18:[24, 77], Operations: ['98-74=24', '28+49=77']
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,18 unequal: No Solution
Exploring Operation: 24+77=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,18 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: 18:[28, 74, 2], Operations: ['98/49=2']
Exploring Operation: 28/2=14, Resulting Numbers: [74, 14]
Generated Node #0,2,0: 18:[74, 14] Operation: 28/2=14
Exploring Operation: 74-28=46, Resulting Numbers: [2, 46]
Generated Node #0,2,1: 18:[2, 46] Operation: 74-28=46
Exploring Operation: 74/2=37, Resulting Numbers: [28, 37]
Generated Node #0,2,2: 18:[28, 37] Operation: 74/2=37
Exploring Operation: 28-2=26, Resulting Numbers: [74, 26]
Generated Node #0,2,3: 18:[74, 26] Operation: 28-2=26
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[2, 46], Operations: ['98/49=2', '74-28=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,18 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[28, 37], Operations: ['98/49=2', '74/2=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,18 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,18 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 #0,2,0
Current State: 18:[74, 14], Operations: ['98/49=2', '28/2=14']
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,18 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,18 unequal: No Solution
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[74, 26], Operations: ['98/49=2', '28-2=26']
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,18 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,18 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: 18:[28, 98, 25], Operations: ['74-49=25']
Exploring Operation: 28+98=126, Resulting Numbers: [25, 126]
Generated Node #0,3,0: 18:[25, 126] Operation: 28+98=126
Exploring Operation: 98-28=70, Resulting Numbers: [25, 70]
Generated Node #0,3,1: 18:[25, 70] Operation: 98-28=70
Exploring Operation: 28-25=3, Resulting Numbers: [98, 3]
Generated Node #0,3,2: 18:[98, 3] Operation: 28-25=3
Exploring Operation: 98-25=73, Resulting Numbers: [28, 73]
Generated Node #0,3,3: 18:[28, 73] Operation: 98-25=73
Moving to Node #0,1
Current State: 18:[28, 74, 49], Operations: ['98-49=49']
Exploring Operation: 28+74=102, Resulting Numbers: [49, 102]
Generated Node #0,1,0: 18:[49, 102] Operation: 28+74=102
Exploring Operation: 49-28=21, Resulting Numbers: [74, 21]
Generated Node #0,1,1: 18:[74, 21] Operation: 49-28=21
Exploring Operation: 74-28=46, Resulting Numbers: [49, 46]
Generated Node #0,1,2: 18:[49, 46] Operation: 74-28=46
Exploring Operation: 74-49=25, Resulting Numbers: [28, 25]
Generated Node #0,1,3: 18:[28, 25] Operation: 74-49=25
Moving to Node #0,1,3
Current State: 18:[28, 25], Operations: ['98-49=49', '74-49=25']
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[74, 21], Operations: ['98-49=49', '49-28=21']
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[49, 46], Operations: ['98-49=49', '74-28=46']
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,18 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[25, 70], Operations: ['74-49=25', '98-28=70']
Exploring Operation: 25*70=1750, Resulting Numbers: [1750]
1750,18 unequal: No Solution
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[28, 73], Operations: ['74-49=25', '98-25=73']
Exploring Operation: 28*73=2044, Resulting Numbers: [2044]
2044,18 unequal: No Solution
Exploring Operation: 28+73=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Moving to Node #0,3,2
Current State: 18:[98, 3], Operations: ['74-49=25', '28-25=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 98*3=294, Resulting Numbers: [294]
294,18 unequal: No Solution
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[25, 126], Operations: ['74-49=25', '28+98=126']
Exploring Operation: 25+126=151, Resulting Numbers: [151]
151,18 unequal: No Solution
Exploring Operation: 25*126=3150, Resulting Numbers: [3150]
3150,18 unequal: No Solution
Exploring Operation: 126-25=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[49, 102], Operations: ['98-49=49', '28+74=102']
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 49*102=4998, Resulting Numbers: [4998]
4998,18 unequal: No Solution
Exploring Operation: 49+102=151, Resulting Numbers: [151]
151,18 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
40,
30,
31,
74
] | 34 | [
"74-40=34",
"31-30=1",
"34*1=34"
] | Current State: 34:[40, 30, 31, 74], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [30, 31, 34]
Generated Node #2: [30, 31, 34] from Operation: 74-40=34
Current State: 34:[30, 31, 34], Operations: ['74-40=34']
Exploring Operation: 31-30=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 31-30=1
Current State: 34:[34, 1], Operations: ['74-40=34', '31-30=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[40, 30, 31, 74], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [40, 30, 43]
Generated Node #0,0: 34:[40, 30, 43] Operation: 74-31=43
Exploring Operation: 74-40=34, Resulting Numbers: [30, 31, 34]
Generated Node #0,1: 34:[30, 31, 34] Operation: 74-40=34
Exploring Operation: 74-30=44, Resulting Numbers: [40, 31, 44]
Generated Node #0,2: 34:[40, 31, 44] Operation: 74-30=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[30, 31, 34], Operations: ['74-40=34']
Exploring Operation: 34-31=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 34:[30, 3] Operation: 34-31=3
Exploring Operation: 34-30=4, Resulting Numbers: [31, 4]
Generated Node #0,1,1: 34:[31, 4] Operation: 34-30=4
Exploring Operation: 31-30=1, Resulting Numbers: [34, 1]
Generated Node #0,1,2: 34:[34, 1] Operation: 31-30=1
Moving to Node #0,1,2
Current State: 34:[34, 1], Operations: ['74-40=34', '31-30=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[40, 30, 31, 74], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [30, 31, 34]
Generated Node #0,1: 34:[30, 31, 34] Operation: 74-40=34
Moving to Node #0,1
Current State: 34:[30, 31, 34], Operations: ['74-40=34']
Exploring Operation: 31-30=1, Resulting Numbers: [34, 1]
Generated Node #0,1,2: 34:[34, 1] Operation: 31-30=1
Moving to Node #0,1,2
Current State: 34:[34, 1], Operations: ['74-40=34', '31-30=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
12,
42,
45,
39
] | 60 | [
"12+42=54",
"45-39=6",
"54+6=60"
] | Current State: 60:[12, 42, 45, 39], Operations: []
Exploring Operation: 12+42=54, Resulting Numbers: [45, 39, 54]
Generated Node #2: [45, 39, 54] from Operation: 12+42=54
Current State: 60:[45, 39, 54], Operations: ['12+42=54']
Exploring Operation: 45-39=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 45-39=6
Current State: 60:[54, 6], Operations: ['12+42=54', '45-39=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[12, 42, 45, 39], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [12, 42, 6]
Generated Node #0,0: 60:[12, 42, 6] Operation: 45-39=6
Exploring Operation: 45-42=3, Resulting Numbers: [12, 39, 3]
Generated Node #0,1: 60:[12, 39, 3] Operation: 45-42=3
Exploring Operation: 42-12=30, Resulting Numbers: [45, 39, 30]
Generated Node #0,2: 60:[45, 39, 30] Operation: 42-12=30
Exploring Operation: 42-39=3, Resulting Numbers: [12, 45, 3]
Generated Node #0,3: 60:[12, 45, 3] Operation: 42-39=3
Moving to Node #0,1
Current State: 60:[12, 39, 3], Operations: ['45-42=3']
Exploring Operation: 39-12=27, Resulting Numbers: [3, 27]
Generated Node #0,1,0: 60:[3, 27] Operation: 39-12=27
Exploring Operation: 39-3=36, Resulting Numbers: [12, 36]
Generated Node #0,1,1: 60:[12, 36] Operation: 39-3=36
Exploring Operation: 39/3=13, Resulting Numbers: [12, 13]
Generated Node #0,1,2: 60:[12, 13] Operation: 39/3=13
Exploring Operation: 12+39=51, Resulting Numbers: [3, 51]
Generated Node #0,1,3: 60:[3, 51] Operation: 12+39=51
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 60:[12, 13], Operations: ['45-42=3', '39/3=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,60 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 #0,1,0
Current State: 60:[3, 27], Operations: ['45-42=3', '39-12=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,60 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,60 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 #0,1,1
Current State: 60:[12, 36], Operations: ['45-42=3', '39-3=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,60 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,60 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 #0,1,3
Current State: 60:[3, 51], Operations: ['45-42=3', '12+39=51']
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,60 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,60 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:[12, 42, 6], Operations: ['45-39=6']
Exploring Operation: 12+42=54, Resulting Numbers: [6, 54]
Generated Node #0,0,0: 60:[6, 54] Operation: 12+42=54
Exploring Operation: 42-12=30, Resulting Numbers: [6, 30]
Generated Node #0,0,1: 60:[6, 30] Operation: 42-12=30
Exploring Operation: 42-6=36, Resulting Numbers: [12, 36]
Generated Node #0,0,2: 60:[12, 36] Operation: 42-6=36
Exploring Operation: 42/6=7, Resulting Numbers: [12, 7]
Generated Node #0,0,3: 60:[12, 7] Operation: 42/6=7
Moving to Node #0,3
Current State: 60:[12, 45, 3], Operations: ['42-39=3']
Exploring Operation: 45-12=33, Resulting Numbers: [3, 33]
Generated Node #0,3,0: 60:[3, 33] Operation: 45-12=33
Exploring Operation: 45/3=15, Resulting Numbers: [12, 15]
Generated Node #0,3,1: 60:[12, 15] Operation: 45/3=15
Exploring Operation: 45+3=48, Resulting Numbers: [12, 48]
Generated Node #0,3,2: 60:[12, 48] Operation: 45+3=48
Exploring Operation: 12+45=57, Resulting Numbers: [3, 57]
Generated Node #0,3,3: 60:[3, 57] Operation: 12+45=57
Moving to Node #0,2
Current State: 60:[45, 39, 30], Operations: ['42-12=30']
Exploring Operation: 45+39=84, Resulting Numbers: [30, 84]
Generated Node #0,2,0: 60:[30, 84] Operation: 45+39=84
Exploring Operation: 45-30=15, Resulting Numbers: [39, 15]
Generated Node #0,2,1: 60:[39, 15] Operation: 45-30=15
Exploring Operation: 45-39=6, Resulting Numbers: [30, 6]
Generated Node #0,2,2: 60:[30, 6] Operation: 45-39=6
Exploring Operation: 39-30=9, Resulting Numbers: [45, 9]
Generated Node #0,2,3: 60:[45, 9] Operation: 39-30=9
Moving to Node #0,0,1
Current State: 60:[6, 30], Operations: ['45-39=6', '42-12=30']
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,60 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Moving to Node #0,3,1
Current State: 60:[12, 15], Operations: ['42-39=3', '45/3=15']
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,60 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,60 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[30, 6], Operations: ['42-12=30', '45-39=6']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[12, 7], Operations: ['45-39=6', '42/6=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,60 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[3, 33], Operations: ['42-39=3', '45-12=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,60 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[3, 57], Operations: ['42-39=3', '12+45=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,60 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,60 unequal: No Solution
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[12, 42, 45, 39], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [12, 45, 3]
Generated Node #0,3: 60:[12, 45, 3] Operation: 42-39=3
Moving to Node #0,3
Current State: 60:[12, 45, 3], Operations: ['42-39=3']
Exploring Operation: 12+45=57, Resulting Numbers: [3, 57]
Generated Node #0,3,3: 60:[3, 57] Operation: 12+45=57
Moving to Node #0,3,3
Current State: 60:[3, 57], Operations: ['42-39=3', '12+45=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.947049 | hs_4 | mult_heuristic |
[
99,
72,
10,
56
] | 67 | [
"99*56=5544",
"5544/72=77",
"77-10=67"
] | Current State: 67:[99, 72, 10, 56], Operations: []
Exploring Operation: 99*56=5544, Resulting Numbers: [72, 10, 5544]
Generated Node #2: [72, 10, 5544] from Operation: 99*56=5544
Current State: 67:[72, 10, 5544], Operations: ['99*56=5544']
Exploring Operation: 5544/72=77, Resulting Numbers: [10, 77]
Generated Node #3: [10, 77] from Operation: 5544/72=77
Current State: 67:[10, 77], Operations: ['99*56=5544', '5544/72=77']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[99, 72, 10, 56], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [99, 56, 62]
Generated Node #0,0: 67:[99, 56, 62] Operation: 72-10=62
Exploring Operation: 99+10=109, Resulting Numbers: [72, 56, 109]
Generated Node #0,1: 67:[72, 56, 109] Operation: 99+10=109
Exploring Operation: 10+56=66, Resulting Numbers: [99, 72, 66]
Generated Node #0,2: 67:[99, 72, 66] Operation: 10+56=66
Exploring Operation: 99-10=89, Resulting Numbers: [72, 56, 89]
Generated Node #0,3: 67:[72, 56, 89] Operation: 99-10=89
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[99, 72, 66], Operations: ['10+56=66']
Exploring Operation: 99-66=33, Resulting Numbers: [72, 33]
Generated Node #0,2,0: 67:[72, 33] Operation: 99-66=33
Exploring Operation: 99-72=27, Resulting Numbers: [66, 27]
Generated Node #0,2,1: 67:[66, 27] Operation: 99-72=27
Exploring Operation: 72-66=6, Resulting Numbers: [99, 6]
Generated Node #0,2,2: 67:[99, 6] Operation: 72-66=6
Exploring Operation: 99+66=165, Resulting Numbers: [72, 165]
Generated Node #0,2,3: 67:[72, 165] Operation: 99+66=165
Moving to Node #0,2,0
Current State: 67:[72, 33], Operations: ['10+56=66', '99-66=33']
Exploring Operation: 72+33=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 72*33=2376, Resulting Numbers: [2376]
2376,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[66, 27], Operations: ['10+56=66', '99-72=27']
Exploring Operation: 66-27=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 66*27=1782, Resulting Numbers: [1782]
1782,67 unequal: No Solution
Exploring Operation: 66+27=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[99, 6], Operations: ['10+56=66', '72-66=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Exploring Operation: 99+6=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 99*6=594, Resulting Numbers: [594]
594,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[72, 165], Operations: ['10+56=66', '99+66=165']
Exploring Operation: 165-72=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Exploring Operation: 72*165=11880, Resulting Numbers: [11880]
11880,67 unequal: No Solution
Exploring Operation: 72+165=237, Resulting Numbers: [237]
237,67 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 #0,3
Current State: 67:[72, 56, 89], Operations: ['99-10=89']
Exploring Operation: 72+56=128, Resulting Numbers: [89, 128]
Generated Node #0,3,0: 67:[89, 128] Operation: 72+56=128
Exploring Operation: 89-56=33, Resulting Numbers: [72, 33]
Generated Node #0,3,1: 67:[72, 33] Operation: 89-56=33
Exploring Operation: 72-56=16, Resulting Numbers: [89, 16]
Generated Node #0,3,2: 67:[89, 16] Operation: 72-56=16
Exploring Operation: 89-72=17, Resulting Numbers: [56, 17]
Generated Node #0,3,3: 67:[56, 17] Operation: 89-72=17
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 67:[72, 33], Operations: ['99-10=89', '89-56=33']
Exploring Operation: 72+33=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 72*33=2376, Resulting Numbers: [2376]
2376,67 unequal: No Solution
No 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: 67:[56, 17], Operations: ['99-10=89', '89-72=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,67 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,67 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,67 unequal: No Solution
No 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: 67:[89, 16], Operations: ['99-10=89', '72-56=16']
Exploring Operation: 89*16=1424, Resulting Numbers: [1424]
1424,67 unequal: No Solution
Exploring Operation: 89+16=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 89-16=73, Resulting Numbers: [73]
73,67 unequal: No Solution
No 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: 67:[89, 128], Operations: ['99-10=89', '72+56=128']
Exploring Operation: 89*128=11392, Resulting Numbers: [11392]
11392,67 unequal: No Solution
Exploring Operation: 128-89=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 89+128=217, Resulting Numbers: [217]
217,67 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: 67:[99, 56, 62], Operations: ['72-10=62']
Exploring Operation: 99+56=155, Resulting Numbers: [62, 155]
Generated Node #0,0,0: 67:[62, 155] Operation: 99+56=155
Exploring Operation: 56+62=118, Resulting Numbers: [99, 118]
Generated Node #0,0,1: 67:[99, 118] Operation: 56+62=118
Exploring Operation: 99-56=43, Resulting Numbers: [62, 43]
Generated Node #0,0,2: 67:[62, 43] Operation: 99-56=43
Exploring Operation: 99-62=37, Resulting Numbers: [56, 37]
Generated Node #0,0,3: 67:[56, 37] Operation: 99-62=37
Moving to Node #0,0,2
Current State: 67:[62, 43], Operations: ['72-10=62', '99-56=43']
Exploring Operation: 62+43=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 62*43=2666, Resulting Numbers: [2666]
2666,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[56, 37], Operations: ['72-10=62', '99-62=37']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[99, 118], Operations: ['72-10=62', '56+62=118']
Exploring Operation: 118-99=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 99+118=217, Resulting Numbers: [217]
217,67 unequal: No Solution
Exploring Operation: 99*118=11682, Resulting Numbers: [11682]
11682,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[62, 155], Operations: ['72-10=62', '99+56=155']
Exploring Operation: 155-62=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Exploring Operation: 62+155=217, Resulting Numbers: [217]
217,67 unequal: No Solution
Exploring Operation: 62*155=9610, Resulting Numbers: [9610]
9610,67 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
Current State: 67:[72, 56, 109], Operations: ['99+10=109']
Exploring Operation: 72-56=16, Resulting Numbers: [109, 16]
Generated Node #0,1,0: 67:[109, 16] Operation: 72-56=16
Exploring Operation: 72+56=128, Resulting Numbers: [109, 128]
Generated Node #0,1,1: 67:[109, 128] Operation: 72+56=128
Exploring Operation: 109-72=37, Resulting Numbers: [56, 37]
Generated Node #0,1,2: 67:[56, 37] Operation: 109-72=37
Exploring Operation: 109-56=53, Resulting Numbers: [72, 53]
Generated Node #0,1,3: 67:[72, 53] Operation: 109-56=53
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[72, 53], Operations: ['99+10=109', '109-56=53']
Exploring Operation: 72*53=3816, Resulting Numbers: [3816]
3816,67 unequal: No Solution
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,67 unequal: No Solution
No 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: 67:[56, 37], Operations: ['99+10=109', '109-72=37']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,67 unequal: No Solution
No 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: 67:[109, 16], Operations: ['99+10=109', '72-56=16']
Exploring Operation: 109*16=1744, Resulting Numbers: [1744]
1744,67 unequal: No Solution
Exploring Operation: 109-16=93, Resulting Numbers: [93]
93,67 unequal: No Solution
Exploring Operation: 109+16=125, Resulting Numbers: [125]
125,67 unequal: No Solution
No 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: 67:[109, 128], Operations: ['99+10=109', '72+56=128']
Exploring Operation: 109+128=237, Resulting Numbers: [237]
237,67 unequal: No Solution
Exploring Operation: 128-109=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 109*128=13952, Resulting Numbers: [13952]
13952,67 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 |
[
8,
33,
25,
75
] | 19 | [
"33*25=825",
"825/75=11",
"8+11=19"
] | Current State: 19:[8, 33, 25, 75], Operations: []
Exploring Operation: 33*25=825, Resulting Numbers: [8, 75, 825]
Generated Node #2: [8, 75, 825] from Operation: 33*25=825
Current State: 19:[8, 75, 825], Operations: ['33*25=825']
Exploring Operation: 825/75=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 825/75=11
Current State: 19:[8, 11], Operations: ['33*25=825', '825/75=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[8, 33, 25, 75], Operations: []
Exploring Operation: 75-25=50, Resulting Numbers: [8, 33, 50]
Generated Node #0,0: 19:[8, 33, 50] Operation: 75-25=50
Exploring Operation: 75-8=67, Resulting Numbers: [33, 25, 67]
Generated Node #0,1: 19:[33, 25, 67] Operation: 75-8=67
Exploring Operation: 75-33=42, Resulting Numbers: [8, 25, 42]
Generated Node #0,2: 19:[8, 25, 42] Operation: 75-33=42
Exploring Operation: 75/25=3, Resulting Numbers: [8, 33, 3]
Generated Node #0,3: 19:[8, 33, 3] Operation: 75/25=3
Exploring Operation: 33-8=25, Resulting Numbers: [25, 75, 25]
Generated Node #0,4: 19:[25, 75, 25] Operation: 33-8=25
Moving to Node #0,2
Current State: 19:[8, 25, 42], Operations: ['75-33=42']
Exploring Operation: 8+42=50, Resulting Numbers: [25, 50]
Generated Node #0,2,0: 19:[25, 50] Operation: 8+42=50
Exploring Operation: 8+25=33, Resulting Numbers: [42, 33]
Generated Node #0,2,1: 19:[42, 33] Operation: 8+25=33
Exploring Operation: 42-8=34, Resulting Numbers: [25, 34]
Generated Node #0,2,2: 19:[25, 34] Operation: 42-8=34
Exploring Operation: 42-25=17, Resulting Numbers: [8, 17]
Generated Node #0,2,3: 19:[8, 17] Operation: 42-25=17
Exploring Operation: 25-8=17, Resulting Numbers: [42, 17]
Generated Node #0,2,4: 19:[42, 17] Operation: 25-8=17
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 19:[8, 17], Operations: ['75-33=42', '42-25=17']
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,19 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,19 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 #0,2,2
Current State: 19:[25, 34], Operations: ['75-33=42', '42-8=34']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,19 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 #0,2,4
Current State: 19:[42, 17], Operations: ['75-33=42', '25-8=17']
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,19 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,19 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 #0,2,0
Current State: 19:[25, 50], Operations: ['75-33=42', '8+42=50']
Exploring Operation: 25*50=1250, Resulting Numbers: [1250]
1250,19 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 25+50=75, Resulting Numbers: [75]
75,19 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 #0,2,1
Current State: 19:[42, 33], Operations: ['75-33=42', '8+25=33']
Exploring Operation: 42*33=1386, Resulting Numbers: [1386]
1386,19 unequal: No Solution
Exploring Operation: 42+33=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,19 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: 19:[8, 33, 3], Operations: ['75/25=3']
Exploring Operation: 33-8=25, Resulting Numbers: [3, 25]
Generated Node #0,3,0: 19:[3, 25] Operation: 33-8=25
Exploring Operation: 33/3=11, Resulting Numbers: [8, 11]
Generated Node #0,3,1: 19:[8, 11] Operation: 33/3=11
Exploring Operation: 8+3=11, Resulting Numbers: [33, 11]
Generated Node #0,3,2: 19:[33, 11] Operation: 8+3=11
Exploring Operation: 33-3=30, Resulting Numbers: [8, 30]
Generated Node #0,3,3: 19:[8, 30] Operation: 33-3=30
Exploring Operation: 8*3=24, Resulting Numbers: [33, 24]
Generated Node #0,3,4: 19:[33, 24] Operation: 8*3=24
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 19:[8, 11], Operations: ['75/25=3', '33/3=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,19 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[8, 33, 25, 75], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [8, 33, 3]
Generated Node #0,3: 19:[8, 33, 3] Operation: 75/25=3
Moving to Node #0,3
Current State: 19:[8, 33, 3], Operations: ['75/25=3']
Exploring Operation: 33/3=11, Resulting Numbers: [8, 11]
Generated Node #0,3,1: 19:[8, 11] Operation: 33/3=11
Moving to Node #0,3,1
Current State: 19:[8, 11], Operations: ['75/25=3', '33/3=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
68,
17,
92,
96
] | 89 | [
"68+17=85",
"96-92=4",
"85+4=89"
] | Current State: 89:[68, 17, 92, 96], Operations: []
Exploring Operation: 68+17=85, Resulting Numbers: [92, 96, 85]
Generated Node #2: [92, 96, 85] from Operation: 68+17=85
Current State: 89:[92, 96, 85], Operations: ['68+17=85']
Exploring Operation: 96-92=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 96-92=4
Current State: 89:[85, 4], Operations: ['68+17=85', '96-92=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[68, 17, 92, 96], Operations: []
Exploring Operation: 68+17=85, Resulting Numbers: [92, 96, 85]
Generated Node #0,0: 89:[92, 96, 85] Operation: 68+17=85
Exploring Operation: 96-17=79, Resulting Numbers: [68, 92, 79]
Generated Node #0,1: 89:[68, 92, 79] Operation: 96-17=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[92, 96, 85], Operations: ['68+17=85']
Exploring Operation: 96-92=4, Resulting Numbers: [85, 4]
Generated Node #0,0,0: 89:[85, 4] Operation: 96-92=4
Exploring Operation: 96-85=11, Resulting Numbers: [92, 11]
Generated Node #0,0,1: 89:[92, 11] Operation: 96-85=11
Moving to Node #0,0,1
Current State: 89:[92, 11], Operations: ['68+17=85', '96-85=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,89 unequal: No Solution
Exploring Operation: 92+11=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[85, 4], Operations: ['68+17=85', '96-92=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[68, 17, 92, 96], Operations: []
Exploring Operation: 68+17=85, Resulting Numbers: [92, 96, 85]
Generated Node #0,0: 89:[92, 96, 85] Operation: 68+17=85
Moving to Node #0,0
Current State: 89:[92, 96, 85], Operations: ['68+17=85']
Exploring Operation: 96-92=4, Resulting Numbers: [85, 4]
Generated Node #0,0,0: 89:[85, 4] Operation: 96-92=4
Moving to Node #0,0,0
Current State: 89:[85, 4], Operations: ['68+17=85', '96-92=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
25,
81,
16,
68
] | 59 | [
"25-16=9",
"81/9=9",
"68-9=59"
] | Current State: 59:[25, 81, 16, 68], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [81, 68, 9]
Generated Node #2: [81, 68, 9] from Operation: 25-16=9
Current State: 59:[81, 68, 9], Operations: ['25-16=9']
Exploring Operation: 81/9=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 81/9=9
Current State: 59:[68, 9], Operations: ['25-16=9', '81/9=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[25, 81, 16, 68], Operations: []
Exploring Operation: 81-16=65, Resulting Numbers: [25, 68, 65]
Generated Node #0,0: 59:[25, 68, 65] Operation: 81-16=65
Exploring Operation: 25+16=41, Resulting Numbers: [81, 68, 41]
Generated Node #0,1: 59:[81, 68, 41] Operation: 25+16=41
Exploring Operation: 81-25=56, Resulting Numbers: [16, 68, 56]
Generated Node #0,2: 59:[16, 68, 56] Operation: 81-25=56
Moving to Node #0,0
Current State: 59:[25, 68, 65], Operations: ['81-16=65']
Exploring Operation: 65-25=40, Resulting Numbers: [68, 40]
Generated Node #0,0,0: 59:[68, 40] Operation: 65-25=40
Exploring Operation: 68-25=43, Resulting Numbers: [65, 43]
Generated Node #0,0,1: 59:[65, 43] Operation: 68-25=43
Exploring Operation: 25+68=93, Resulting Numbers: [65, 93]
Generated Node #0,0,2: 59:[65, 93] Operation: 25+68=93
Moving to Node #0,1
Current State: 59:[81, 68, 41], Operations: ['25+16=41']
Exploring Operation: 81-41=40, Resulting Numbers: [68, 40]
Generated Node #0,1,0: 59:[68, 40] Operation: 81-41=40
Exploring Operation: 81-68=13, Resulting Numbers: [41, 13]
Generated Node #0,1,1: 59:[41, 13] Operation: 81-68=13
Exploring Operation: 68-41=27, Resulting Numbers: [81, 27]
Generated Node #0,1,2: 59:[81, 27] Operation: 68-41=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[68, 40], Operations: ['25+16=41', '81-41=40']
Exploring Operation: 68*40=2720, Resulting Numbers: [2720]
2720,59 unequal: No Solution
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 68+40=108, Resulting Numbers: [108]
108,59 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:[81, 27], Operations: ['25+16=41', '68-41=27']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,59 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:[41, 13], Operations: ['25+16=41', '81-68=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,59 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,59 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:[16, 68, 56], Operations: ['81-25=56']
Exploring Operation: 16+56=72, Resulting Numbers: [68, 72]
Generated Node #0,2,0: 59:[68, 72] Operation: 16+56=72
Exploring Operation: 68-16=52, Resulting Numbers: [56, 52]
Generated Node #0,2,1: 59:[56, 52] Operation: 68-16=52
Exploring Operation: 16+68=84, Resulting Numbers: [56, 84]
Generated Node #0,2,2: 59:[56, 84] Operation: 16+68=84
Moving to Node #0,2,1
Current State: 59:[56, 52], Operations: ['81-25=56', '68-16=52']
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,59 unequal: No Solution
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[65, 43], Operations: ['81-16=65', '68-25=43']
Exploring Operation: 65*43=2795, Resulting Numbers: [2795]
2795,59 unequal: No Solution
Exploring Operation: 65+43=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[68, 72], Operations: ['81-25=56', '16+56=72']
Exploring Operation: 68*72=4896, Resulting Numbers: [4896]
4896,59 unequal: No Solution
Exploring Operation: 68+72=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[56, 84], Operations: ['81-25=56', '16+68=84']
Exploring Operation: 56+84=140, Resulting Numbers: [140]
140,59 unequal: No Solution
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 56*84=4704, Resulting Numbers: [4704]
4704,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[68, 40], Operations: ['81-16=65', '65-25=40']
Exploring Operation: 68*40=2720, Resulting Numbers: [2720]
2720,59 unequal: No Solution
Exploring Operation: 68+40=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[65, 93], Operations: ['81-16=65', '25+68=93']
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,59 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,59 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
58,
35,
4,
99
] | 98 | [
"58*4=232",
"35+99=134",
"232-134=98"
] | Current State: 98:[58, 35, 4, 99], Operations: []
Exploring Operation: 58*4=232, Resulting Numbers: [35, 99, 232]
Generated Node #2: [35, 99, 232] from Operation: 58*4=232
Current State: 98:[35, 99, 232], Operations: ['58*4=232']
Exploring Operation: 35+99=134, Resulting Numbers: [232, 134]
Generated Node #3: [232, 134] from Operation: 35+99=134
Current State: 98:[232, 134], Operations: ['58*4=232', '35+99=134']
Exploring Operation: 232-134=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[58, 35, 4, 99], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [4, 99, 23]
Generated Node #0,0: 98:[4, 99, 23] Operation: 58-35=23
Exploring Operation: 58+35=93, Resulting Numbers: [4, 99, 93]
Generated Node #0,1: 98:[4, 99, 93] Operation: 58+35=93
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[4, 99, 93], Operations: ['58+35=93']
Exploring Operation: 4+93=97, Resulting Numbers: [99, 97]
Generated Node #0,1,0: 98:[99, 97] Operation: 4+93=97
Exploring Operation: 99-93=6, Resulting Numbers: [4, 6]
Generated Node #0,1,1: 98:[4, 6] Operation: 99-93=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[99, 97], Operations: ['58+35=93', '4+93=97']
Exploring Operation: 99+97=196, Resulting Numbers: [196]
196,98 unequal: No Solution
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[4, 6], Operations: ['58+35=93', '99-93=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[4, 99, 23], Operations: ['58-35=23']
Exploring Operation: 23-4=19, Resulting Numbers: [99, 19]
Generated Node #0,0,0: 98:[99, 19] Operation: 23-4=19
Exploring Operation: 4*23=92, Resulting Numbers: [99, 92]
Generated Node #0,0,1: 98:[99, 92] Operation: 4*23=92
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[99, 19], Operations: ['58-35=23', '23-4=19']
Exploring Operation: 99+19=118, Resulting Numbers: [118]
118,98 unequal: No Solution
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[99, 92], Operations: ['58-35=23', '4*23=92']
Exploring Operation: 99+92=191, Resulting Numbers: [191]
191,98 unequal: No Solution
Exploring Operation: 99-92=7, Resulting Numbers: [7]
7,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
48,
8,
7,
96
] | 63 | [
"48-8=40",
"7+96=103",
"103-40=63"
] | Current State: 63:[48, 8, 7, 96], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [7, 96, 40]
Generated Node #2: [7, 96, 40] from Operation: 48-8=40
Current State: 63:[7, 96, 40], Operations: ['48-8=40']
Exploring Operation: 7+96=103, Resulting Numbers: [40, 103]
Generated Node #3: [40, 103] from Operation: 7+96=103
Current State: 63:[40, 103], Operations: ['48-8=40', '7+96=103']
Exploring Operation: 103-40=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[48, 8, 7, 96], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [8, 7, 48]
Generated Node #0,0: 63:[8, 7, 48] Operation: 96-48=48
Exploring Operation: 96/8=12, Resulting Numbers: [48, 7, 12]
Generated Node #0,1: 63:[48, 7, 12] Operation: 96/8=12
Exploring Operation: 48/8=6, Resulting Numbers: [7, 96, 6]
Generated Node #0,2: 63:[7, 96, 6] Operation: 48/8=6
Exploring Operation: 48+8=56, Resulting Numbers: [7, 96, 56]
Generated Node #0,3: 63:[7, 96, 56] Operation: 48+8=56
Exploring Operation: 96/48=2, Resulting Numbers: [8, 7, 2]
Generated Node #0,4: 63:[8, 7, 2] Operation: 96/48=2
Moving to Node #0,4
Current State: 63:[8, 7, 2], Operations: ['96/48=2']
Exploring Operation: 8/2=4, Resulting Numbers: [7, 4]
Generated Node #0,4,0: 63:[7, 4] Operation: 8/2=4
Exploring Operation: 7+2=9, Resulting Numbers: [8, 9]
Generated Node #0,4,1: 63:[8, 9] Operation: 7+2=9
Exploring Operation: 8-7=1, Resulting Numbers: [2, 1]
Generated Node #0,4,2: 63:[2, 1] Operation: 8-7=1
Exploring Operation: 8+2=10, Resulting Numbers: [7, 10]
Generated Node #0,4,3: 63:[7, 10] Operation: 8+2=10
Exploring Operation: 8-2=6, Resulting Numbers: [7, 6]
Generated Node #0,4,4: 63:[7, 6] Operation: 8-2=6
Moving to Node #0,0
Current State: 63:[8, 7, 48], Operations: ['96-48=48']
Exploring Operation: 8+48=56, Resulting Numbers: [7, 56]
Generated Node #0,0,0: 63:[7, 56] Operation: 8+48=56
Exploring Operation: 48-8=40, Resulting Numbers: [7, 40]
Generated Node #0,0,1: 63:[7, 40] Operation: 48-8=40
Exploring Operation: 48/8=6, Resulting Numbers: [7, 6]
Generated Node #0,0,2: 63:[7, 6] Operation: 48/8=6
Exploring Operation: 7+48=55, Resulting Numbers: [8, 55]
Generated Node #0,0,3: 63:[8, 55] Operation: 7+48=55
Exploring Operation: 8-7=1, Resulting Numbers: [48, 1]
Generated Node #0,0,4: 63:[48, 1] Operation: 8-7=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[7, 6], Operations: ['96-48=48', '48/8=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,63 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 #0,0,0
Current State: 63:[7, 56], Operations: ['96-48=48', '8+48=56']
Exploring Operation: 7*56=392, Resulting Numbers: [392]
392,63 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[48, 8, 7, 96], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [8, 7, 48]
Generated Node #0,0: 63:[8, 7, 48] Operation: 96-48=48
Moving to Node #0,0
Current State: 63:[8, 7, 48], Operations: ['96-48=48']
Exploring Operation: 8+48=56, Resulting Numbers: [7, 56]
Generated Node #0,0,0: 63:[7, 56] Operation: 8+48=56
Moving to Node #0,0,0
Current State: 63:[7, 56], Operations: ['96-48=48', '8+48=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
7,
83,
90,
30
] | 87 | [
"7+83=90",
"90/30=3",
"90-3=87"
] | Current State: 87:[7, 83, 90, 30], Operations: []
Exploring Operation: 7+83=90, Resulting Numbers: [90, 30, 90]
Generated Node #2: [90, 30, 90] from Operation: 7+83=90
Current State: 87:[90, 30, 90], Operations: ['7+83=90']
Exploring Operation: 90/30=3, Resulting Numbers: [3]
3,87 equal: Goal Reached
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[7, 83, 90, 30], Operations: []
Exploring Operation: 90-7=83, Resulting Numbers: [83, 30, 83]
Generated Node #0,0: 87:[83, 30, 83] Operation: 90-7=83
Exploring Operation: 90/30=3, Resulting Numbers: [7, 83, 3]
Generated Node #0,1: 87:[7, 83, 3] Operation: 90/30=3
Exploring Operation: 7+83=90, Resulting Numbers: [90, 30, 90]
Generated Node #0,2: 87:[90, 30, 90] Operation: 7+83=90
Exploring Operation: 90-83=7, Resulting Numbers: [7, 30, 7]
Generated Node #0,3: 87:[7, 30, 7] Operation: 90-83=7
Moving to Node #0,2
Current State: 87:[90, 30, 90], Operations: ['7+83=90']
Exploring Operation: 90-90=0, Resulting Numbers: [30, 0]
Generated Node #0,2,0: 87:[30, 0] Operation: 90-90=0
Exploring Operation: 90/30=3, Resulting Numbers: [90, 3]
Generated Node #0,2,1: 87:[90, 3] Operation: 90/30=3
Exploring Operation: 90/30=3, Resulting Numbers: [90, 3]
Generated Node #0,2,2: 87:[90, 3] Operation: 90/30=3
Exploring Operation: 90/90=1, Resulting Numbers: [30, 1]
Generated Node #0,2,3: 87:[30, 1] Operation: 90/90=1
Moving to Node #0,1
Current State: 87:[7, 83, 3], Operations: ['90/30=3']
Exploring Operation: 7+83=90, Resulting Numbers: [3, 90]
Generated Node #0,1,0: 87:[3, 90] Operation: 7+83=90
Exploring Operation: 83-7=76, Resulting Numbers: [3, 76]
Generated Node #0,1,1: 87:[3, 76] Operation: 83-7=76
Exploring Operation: 83+3=86, Resulting Numbers: [7, 86]
Generated Node #0,1,2: 87:[7, 86] Operation: 83+3=86
Exploring Operation: 7-3=4, Resulting Numbers: [83, 4]
Generated Node #0,1,3: 87:[83, 4] Operation: 7-3=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[3, 90], Operations: ['90/30=3', '7+83=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[7, 83, 90, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [7, 83, 3]
Generated Node #0,1: 87:[7, 83, 3] Operation: 90/30=3
Moving to Node #0,1
Current State: 87:[7, 83, 3], Operations: ['90/30=3']
Exploring Operation: 7+83=90, Resulting Numbers: [3, 90]
Generated Node #0,1,0: 87:[3, 90] Operation: 7+83=90
Moving to Node #0,1,0
Current State: 87:[3, 90], Operations: ['90/30=3', '7+83=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
58,
55,
57,
47
] | 22 | [
"58-47=11",
"57-55=2",
"11*2=22"
] | Current State: 22:[58, 55, 57, 47], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [55, 57, 11]
Generated Node #2: [55, 57, 11] from Operation: 58-47=11
Current State: 22:[55, 57, 11], Operations: ['58-47=11']
Exploring Operation: 57-55=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 57-55=2
Current State: 22:[11, 2], Operations: ['58-47=11', '57-55=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[58, 55, 57, 47], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [57, 47, 3]
Generated Node #0,0: 22:[57, 47, 3] Operation: 58-55=3
Exploring Operation: 58-57=1, Resulting Numbers: [55, 47, 1]
Generated Node #0,1: 22:[55, 47, 1] Operation: 58-57=1
Moving to Node #0,1
Current State: 22:[55, 47, 1], Operations: ['58-57=1']
Exploring Operation: 55-47=8, Resulting Numbers: [1, 8]
Generated Node #0,1,0: 22:[1, 8] Operation: 55-47=8
Exploring Operation: 55-1=54, Resulting Numbers: [47, 54]
Generated Node #0,1,1: 22:[47, 54] Operation: 55-1=54
Moving to Node #0,0
Current State: 22:[57, 47, 3], Operations: ['58-55=3']
Exploring Operation: 57/3=19, Resulting Numbers: [47, 19]
Generated Node #0,0,0: 22:[47, 19] Operation: 57/3=19
Exploring Operation: 57-47=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 22:[3, 10] Operation: 57-47=10
Moving to Node #0,0,1
Current State: 22:[3, 10], Operations: ['58-55=3', '57-47=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[1, 8], Operations: ['58-57=1', '55-47=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[47, 19], Operations: ['58-55=3', '57/3=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,22 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[47, 54], Operations: ['58-57=1', '55-1=54']
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 47+54=101, Resulting Numbers: [101]
101,22 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
95,
10,
9,
39
] | 92 | [
"39-9=30",
"30/10=3",
"95-3=92"
] | Current State: 92:[95, 10, 9, 39], Operations: []
Exploring Operation: 39-9=30, Resulting Numbers: [95, 10, 30]
Generated Node #2: [95, 10, 30] from Operation: 39-9=30
Current State: 92:[95, 10, 30], Operations: ['39-9=30']
Exploring Operation: 30/10=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 30/10=3
Current State: 92:[95, 3], Operations: ['39-9=30', '30/10=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[95, 10, 9, 39], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [95, 39, 1]
Generated Node #0,0: 92:[95, 39, 1] Operation: 10-9=1
Moving to Node #0,0
Current State: 92:[95, 39, 1], Operations: ['10-9=1']
Exploring Operation: 95-1=94, Resulting Numbers: [39, 94]
Generated Node #0,0,0: 92:[39, 94] Operation: 95-1=94
Moving to Node #0,0,0
Current State: 92:[39, 94], Operations: ['10-9=1', '95-1=94']
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,92 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
53,
80,
40,
17
] | 89 | [
"53*80=4240",
"4240/40=106",
"106-17=89"
] | Current State: 89:[53, 80, 40, 17], Operations: []
Exploring Operation: 53*80=4240, Resulting Numbers: [40, 17, 4240]
Generated Node #2: [40, 17, 4240] from Operation: 53*80=4240
Current State: 89:[40, 17, 4240], Operations: ['53*80=4240']
Exploring Operation: 4240/40=106, Resulting Numbers: [17, 106]
Generated Node #3: [17, 106] from Operation: 4240/40=106
Current State: 89:[17, 106], Operations: ['53*80=4240', '4240/40=106']
Exploring Operation: 106-17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[53, 80, 40, 17], Operations: []
Exploring Operation: 53+17=70, Resulting Numbers: [80, 40, 70]
Generated Node #0,0: 89:[80, 40, 70] Operation: 53+17=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[80, 40, 70], Operations: ['53+17=70']
Exploring Operation: 40+70=110, Resulting Numbers: [80, 110]
Generated Node #0,0,0: 89:[80, 110] Operation: 40+70=110
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[80, 110], Operations: ['53+17=70', '40+70=110']
Exploring Operation: 110-80=30, Resulting Numbers: [30]
30,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
87,
35,
3,
49
] | 98 | [
"87-35=52",
"49-3=46",
"52+46=98"
] | Current State: 98:[87, 35, 3, 49], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [3, 49, 52]
Generated Node #2: [3, 49, 52] from Operation: 87-35=52
Current State: 98:[3, 49, 52], Operations: ['87-35=52']
Exploring Operation: 49-3=46, Resulting Numbers: [52, 46]
Generated Node #3: [52, 46] from Operation: 49-3=46
Current State: 98:[52, 46], Operations: ['87-35=52', '49-3=46']
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[87, 35, 3, 49], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [3, 49, 52]
Generated Node #0,0: 98:[3, 49, 52] Operation: 87-35=52
Moving to Node #0,0
Current State: 98:[3, 49, 52], Operations: ['87-35=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49, 49]
Generated Node #0,0,0: 98:[49, 49] Operation: 52-3=49
Moving to Node #0,0,0
Current State: 98:[49, 49], Operations: ['87-35=52', '52-3=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[87, 35, 3, 49], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [3, 49, 52]
Generated Node #0,0: 98:[3, 49, 52] Operation: 87-35=52
Moving to Node #0,0
Current State: 98:[3, 49, 52], Operations: ['87-35=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49, 49]
Generated Node #0,0,0: 98:[49, 49] Operation: 52-3=49
Moving to Node #0,0,0
Current State: 98:[49, 49], Operations: ['87-35=52', '52-3=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
16,
19,
38,
47
] | 65 | [
"16+47=63",
"38/19=2",
"63+2=65"
] | Current State: 65:[16, 19, 38, 47], Operations: []
Exploring Operation: 16+47=63, Resulting Numbers: [19, 38, 63]
Generated Node #2: [19, 38, 63] from Operation: 16+47=63
Current State: 65:[19, 38, 63], Operations: ['16+47=63']
Exploring Operation: 38/19=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 38/19=2
Current State: 65:[63, 2], Operations: ['16+47=63', '38/19=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[16, 19, 38, 47], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [16, 19, 9]
Generated Node #0,0: 65:[16, 19, 9] Operation: 47-38=9
Exploring Operation: 19+38=57, Resulting Numbers: [16, 47, 57]
Generated Node #0,1: 65:[16, 47, 57] Operation: 19+38=57
Exploring Operation: 38/19=2, Resulting Numbers: [16, 47, 2]
Generated Node #0,2: 65:[16, 47, 2] Operation: 38/19=2
Exploring Operation: 38-19=19, Resulting Numbers: [16, 47, 19]
Generated Node #0,3: 65:[16, 47, 19] Operation: 38-19=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[16, 19, 9], Operations: ['47-38=9']
Exploring Operation: 19-9=10, Resulting Numbers: [16, 10]
Generated Node #0,0,0: 65:[16, 10] Operation: 19-9=10
Exploring Operation: 16+9=25, Resulting Numbers: [19, 25]
Generated Node #0,0,1: 65:[19, 25] Operation: 16+9=25
Exploring Operation: 19-16=3, Resulting Numbers: [9, 3]
Generated Node #0,0,2: 65:[9, 3] Operation: 19-16=3
Exploring Operation: 16-9=7, Resulting Numbers: [19, 7]
Generated Node #0,0,3: 65:[19, 7] Operation: 16-9=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[16, 10], Operations: ['47-38=9', '19-9=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,65 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[9, 3], Operations: ['47-38=9', '19-16=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 65:[19, 7], Operations: ['47-38=9', '16-9=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,65 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[19, 25], Operations: ['47-38=9', '16+9=25']
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,65 unequal: No Solution
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,65 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: 65:[16, 47, 2], Operations: ['38/19=2']
Exploring Operation: 16+47=63, Resulting Numbers: [2, 63]
Generated Node #0,2,0: 65:[2, 63] Operation: 16+47=63
Exploring Operation: 47-16=31, Resulting Numbers: [2, 31]
Generated Node #0,2,1: 65:[2, 31] Operation: 47-16=31
Exploring Operation: 47+2=49, Resulting Numbers: [16, 49]
Generated Node #0,2,2: 65:[16, 49] Operation: 47+2=49
Exploring Operation: 16-2=14, Resulting Numbers: [47, 14]
Generated Node #0,2,3: 65:[47, 14] Operation: 16-2=14
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[2, 63], Operations: ['38/19=2', '16+47=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[16, 19, 38, 47], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [16, 47, 2]
Generated Node #0,2: 65:[16, 47, 2] Operation: 38/19=2
Moving to Node #0,2
Current State: 65:[16, 47, 2], Operations: ['38/19=2']
Exploring Operation: 16+47=63, Resulting Numbers: [2, 63]
Generated Node #0,2,0: 65:[2, 63] Operation: 16+47=63
Moving to Node #0,2,0
Current State: 65:[2, 63], Operations: ['38/19=2', '16+47=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
1,
76,
77,
29
] | 28 | [
"1+76=77",
"77/77=1",
"29-1=28"
] | Current State: 28:[1, 76, 77, 29], Operations: []
Exploring Operation: 1+76=77, Resulting Numbers: [77, 29, 77]
Generated Node #2: [77, 29, 77] from Operation: 1+76=77
Current State: 28:[77, 29, 77], Operations: ['1+76=77']
Exploring Operation: 77/77=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 77/77=1
Current State: 28:[29, 1], Operations: ['1+76=77', '77/77=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[1, 76, 77, 29], Operations: []
Exploring Operation: 76-29=47, Resulting Numbers: [1, 77, 47]
Generated Node #0,0: 28:[1, 77, 47] Operation: 76-29=47
Exploring Operation: 76-1=75, Resulting Numbers: [77, 29, 75]
Generated Node #0,1: 28:[77, 29, 75] Operation: 76-1=75
Exploring Operation: 77-76=1, Resulting Numbers: [1, 29, 1]
Generated Node #0,2: 28:[1, 29, 1] Operation: 77-76=1
Exploring Operation: 77-29=48, Resulting Numbers: [1, 76, 48]
Generated Node #0,3: 28:[1, 76, 48] Operation: 77-29=48
Moving to Node #0,2
Current State: 28:[1, 29, 1], Operations: ['77-76=1']
Exploring Operation: 29-1=28, Resulting Numbers: [1, 28]
Generated Node #0,2,0: 28:[1, 28] Operation: 29-1=28
Exploring Operation: 29-1=28, Resulting Numbers: [1, 28]
Generated Node #0,2,1: 28:[1, 28] Operation: 29-1=28
Exploring Operation: 1*29=29, Resulting Numbers: [1, 29]
Generated Node #0,2,2: 28:[1, 29] Operation: 1*29=29
Exploring Operation: 1+1=2, Resulting Numbers: [29, 2]
Generated Node #0,2,3: 28:[29, 2] Operation: 1+1=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[1, 28], Operations: ['77-76=1', '29-1=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,28 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[1, 76, 77, 29], Operations: []
Exploring Operation: 77-76=1, Resulting Numbers: [1, 29, 1]
Generated Node #0,2: 28:[1, 29, 1] Operation: 77-76=1
Moving to Node #0,2
Current State: 28:[1, 29, 1], Operations: ['77-76=1']
Exploring Operation: 29-1=28, Resulting Numbers: [1, 28]
Generated Node #0,2,0: 28:[1, 28] Operation: 29-1=28
Moving to Node #0,2,0
Current State: 28:[1, 28], Operations: ['77-76=1', '29-1=28']
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
69,
37,
94,
31
] | 31 | [
"69-37=32",
"94-31=63",
"63-32=31"
] | Current State: 31:[69, 37, 94, 31], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [94, 31, 32]
Generated Node #2: [94, 31, 32] from Operation: 69-37=32
Current State: 31:[94, 31, 32], Operations: ['69-37=32']
Exploring Operation: 94-31=63, Resulting Numbers: [32, 63]
Generated Node #3: [32, 63] from Operation: 94-31=63
Current State: 31:[32, 63], Operations: ['69-37=32', '94-31=63']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[69, 37, 94, 31], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [94, 31, 32]
Generated Node #0,0: 31:[94, 31, 32] Operation: 69-37=32
Exploring Operation: 94-69=25, Resulting Numbers: [37, 31, 25]
Generated Node #0,1: 31:[37, 31, 25] Operation: 94-69=25
Exploring Operation: 94-37=57, Resulting Numbers: [69, 31, 57]
Generated Node #0,2: 31:[69, 31, 57] Operation: 94-37=57
Moving to Node #0,1
Current State: 31:[37, 31, 25], Operations: ['94-69=25']
Exploring Operation: 37-31=6, Resulting Numbers: [25, 6]
Generated Node #0,1,0: 31:[25, 6] Operation: 37-31=6
Exploring Operation: 37+25=62, Resulting Numbers: [31, 62]
Generated Node #0,1,1: 31:[31, 62] Operation: 37+25=62
Exploring Operation: 37-25=12, Resulting Numbers: [31, 12]
Generated Node #0,1,2: 31:[31, 12] Operation: 37-25=12
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[31, 12], Operations: ['94-69=25', '37-25=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,31 unequal: No Solution
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[25, 6], Operations: ['94-69=25', '37-31=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[69, 37, 94, 31], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [37, 31, 25]
Generated Node #0,1: 31:[37, 31, 25] Operation: 94-69=25
Moving to Node #0,1
Current State: 31:[37, 31, 25], Operations: ['94-69=25']
Exploring Operation: 37-31=6, Resulting Numbers: [25, 6]
Generated Node #0,1,0: 31:[25, 6] Operation: 37-31=6
Moving to Node #0,1,0
Current State: 31:[25, 6], Operations: ['94-69=25', '37-31=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
12,
56,
64,
48
] | 48 | [
"64-56=8",
"12*8=96",
"96-48=48"
] | Current State: 48:[12, 56, 64, 48], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [12, 48, 8]
Generated Node #2: [12, 48, 8] from Operation: 64-56=8
Current State: 48:[12, 48, 8], Operations: ['64-56=8']
Exploring Operation: 12*8=96, Resulting Numbers: [48, 96]
Generated Node #3: [48, 96] from Operation: 12*8=96
Current State: 48:[48, 96], Operations: ['64-56=8', '12*8=96']
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[12, 56, 64, 48], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [12, 48, 8]
Generated Node #0,0: 48:[12, 48, 8] Operation: 64-56=8
Exploring Operation: 64-12=52, Resulting Numbers: [56, 48, 52]
Generated Node #0,1: 48:[56, 48, 52] Operation: 64-12=52
Exploring Operation: 56-12=44, Resulting Numbers: [64, 48, 44]
Generated Node #0,2: 48:[64, 48, 44] Operation: 56-12=44
Exploring Operation: 64-48=16, Resulting Numbers: [12, 56, 16]
Generated Node #0,3: 48:[12, 56, 16] Operation: 64-48=16
Exploring Operation: 56-48=8, Resulting Numbers: [12, 64, 8]
Generated Node #0,4: 48:[12, 64, 8] Operation: 56-48=8
Moving to Node #0,0
Current State: 48:[12, 48, 8], Operations: ['64-56=8']
Exploring Operation: 12+8=20, Resulting Numbers: [48, 20]
Generated Node #0,0,0: 48:[48, 20] Operation: 12+8=20
Exploring Operation: 12-8=4, Resulting Numbers: [48, 4]
Generated Node #0,0,1: 48:[48, 4] Operation: 12-8=4
Exploring Operation: 48+8=56, Resulting Numbers: [12, 56]
Generated Node #0,0,2: 48:[12, 56] Operation: 48+8=56
Exploring Operation: 48/8=6, Resulting Numbers: [12, 6]
Generated Node #0,0,3: 48:[12, 6] Operation: 48/8=6
Exploring Operation: 48/12=4, Resulting Numbers: [8, 4]
Generated Node #0,0,4: 48:[8, 4] Operation: 48/12=4
Moving to Node #0,3
Current State: 48:[12, 56, 16], Operations: ['64-48=16']
Exploring Operation: 16-12=4, Resulting Numbers: [56, 4]
Generated Node #0,3,0: 48:[56, 4] Operation: 16-12=4
Exploring Operation: 56-12=44, Resulting Numbers: [16, 44]
Generated Node #0,3,1: 48:[16, 44] Operation: 56-12=44
Exploring Operation: 56-16=40, Resulting Numbers: [12, 40]
Generated Node #0,3,2: 48:[12, 40] Operation: 56-16=40
Exploring Operation: 12+56=68, Resulting Numbers: [16, 68]
Generated Node #0,3,3: 48:[16, 68] Operation: 12+56=68
Exploring Operation: 12+16=28, Resulting Numbers: [56, 28]
Generated Node #0,3,4: 48:[56, 28] Operation: 12+16=28
Moving to Node #0,1
Current State: 48:[56, 48, 52], Operations: ['64-12=52']
Exploring Operation: 56+48=104, Resulting Numbers: [52, 104]
Generated Node #0,1,0: 48:[52, 104] Operation: 56+48=104
Exploring Operation: 52-48=4, Resulting Numbers: [56, 4]
Generated Node #0,1,1: 48:[56, 4] Operation: 52-48=4
Exploring Operation: 56-48=8, Resulting Numbers: [52, 8]
Generated Node #0,1,2: 48:[52, 8] Operation: 56-48=8
Exploring Operation: 56-52=4, Resulting Numbers: [48, 4]
Generated Node #0,1,3: 48:[48, 4] Operation: 56-52=4
Exploring Operation: 56+52=108, Resulting Numbers: [48, 108]
Generated Node #0,1,4: 48:[48, 108] Operation: 56+52=108
Moving to Node #0,4
Current State: 48:[12, 64, 8], Operations: ['56-48=8']
Exploring Operation: 64-8=56, Resulting Numbers: [12, 56]
Generated Node #0,4,0: 48:[12, 56] Operation: 64-8=56
Exploring Operation: 12+8=20, Resulting Numbers: [64, 20]
Generated Node #0,4,1: 48:[64, 20] Operation: 12+8=20
Exploring Operation: 64/8=8, Resulting Numbers: [12, 8]
Generated Node #0,4,2: 48:[12, 8] Operation: 64/8=8
Exploring Operation: 12-8=4, Resulting Numbers: [64, 4]
Generated Node #0,4,3: 48:[64, 4] Operation: 12-8=4
Exploring Operation: 64-12=52, Resulting Numbers: [8, 52]
Generated Node #0,4,4: 48:[8, 52] Operation: 64-12=52
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 48:[12, 8], Operations: ['56-48=8', '64/8=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,48 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,48 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:[8, 52], Operations: ['56-48=8', '64-12=52']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 8*52=416, Resulting Numbers: [416]
416,48 unequal: No Solution
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,48 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:[12, 56], Operations: ['56-48=8', '64-8=56']
Exploring Operation: 12+56=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 12*56=672, Resulting Numbers: [672]
672,48 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 #0,4,3
Current State: 48:[64, 4], Operations: ['56-48=8', '12-8=4']
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,48 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,48 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:[64, 20], Operations: ['56-48=8', '12+8=20']
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,48 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 48:[64, 48, 44], Operations: ['56-12=44']
Exploring Operation: 64-44=20, Resulting Numbers: [48, 20]
Generated Node #0,2,0: 48:[48, 20] Operation: 64-44=20
Exploring Operation: 48+44=92, Resulting Numbers: [64, 92]
Generated Node #0,2,1: 48:[64, 92] Operation: 48+44=92
Exploring Operation: 64+44=108, Resulting Numbers: [48, 108]
Generated Node #0,2,2: 48:[48, 108] Operation: 64+44=108
Exploring Operation: 48-44=4, Resulting Numbers: [64, 4]
Generated Node #0,2,3: 48:[64, 4] Operation: 48-44=4
Exploring Operation: 64-48=16, Resulting Numbers: [44, 16]
Generated Node #0,2,4: 48:[44, 16] Operation: 64-48=16
Moving to Node #0,0,1
Current State: 48:[48, 4], Operations: ['64-56=8', '12-8=4']
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,48 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Moving to Node #0,0,4
Current State: 48:[8, 4], Operations: ['64-56=8', '48/12=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[12, 6], Operations: ['64-56=8', '48/8=6']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[48, 4], Operations: ['64-12=52', '56-52=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,48 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[16, 44], Operations: ['64-48=16', '56-12=44']
Exploring Operation: 16+44=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 16*44=704, Resulting Numbers: [704]
704,48 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[52, 8], Operations: ['64-12=52', '56-48=8']
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,48 unequal: No Solution
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[48, 20], Operations: ['64-56=8', '12+8=20']
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,48 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[48, 20], Operations: ['56-12=44', '64-44=20']
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,48 unequal: No Solution
Moving to Node #0,2,4
Current State: 48:[44, 16], Operations: ['56-12=44', '64-48=16']
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,48 unequal: No Solution
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[56, 4], Operations: ['64-48=16', '16-12=4']
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,48 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[12, 40], Operations: ['64-48=16', '56-16=40']
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[56, 4], Operations: ['64-12=52', '52-48=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,48 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[12, 56], Operations: ['64-56=8', '48+8=56']
Exploring Operation: 12*56=672, Resulting Numbers: [672]
672,48 unequal: No Solution
Exploring Operation: 12+56=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[56, 28], Operations: ['64-48=16', '12+16=28']
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,48 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[64, 4], Operations: ['56-12=44', '48-44=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,48 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[16, 68], Operations: ['64-48=16', '12+56=68']
Exploring Operation: 16*68=1088, Resulting Numbers: [1088]
1088,48 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[64, 92], Operations: ['56-12=44', '48+44=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 64*92=5888, Resulting Numbers: [5888]
5888,48 unequal: No Solution
Exploring Operation: 64+92=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[48, 108], Operations: ['56-12=44', '64+44=108']
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 48*108=5184, Resulting Numbers: [5184]
5184,48 unequal: No Solution
Exploring Operation: 48+108=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[52, 104], Operations: ['64-12=52', '56+48=104']
Exploring Operation: 52*104=5408, Resulting Numbers: [5408]
5408,48 unequal: No Solution
Exploring Operation: 52+104=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Exploring Operation: 104/52=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 104-52=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[48, 108], Operations: ['64-12=52', '56+52=108']
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 48*108=5184, Resulting Numbers: [5184]
5184,48 unequal: No Solution
Exploring Operation: 48+108=156, Resulting Numbers: [156]
156,48 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
22,
75,
34,
19
] | 59 | [
"22-19=3",
"75/3=25",
"34+25=59"
] | Current State: 59:[22, 75, 34, 19], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [75, 34, 3]
Generated Node #2: [75, 34, 3] from Operation: 22-19=3
Current State: 59:[75, 34, 3], Operations: ['22-19=3']
Exploring Operation: 75/3=25, Resulting Numbers: [34, 25]
Generated Node #3: [34, 25] from Operation: 75/3=25
Current State: 59:[34, 25], Operations: ['22-19=3', '75/3=25']
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[22, 75, 34, 19], Operations: []
Exploring Operation: 22+34=56, Resulting Numbers: [75, 19, 56]
Generated Node #0,0: 59:[75, 19, 56] Operation: 22+34=56
Exploring Operation: 75-19=56, Resulting Numbers: [22, 34, 56]
Generated Node #0,1: 59:[22, 34, 56] Operation: 75-19=56
Exploring Operation: 75-22=53, Resulting Numbers: [34, 19, 53]
Generated Node #0,2: 59:[34, 19, 53] Operation: 75-22=53
Exploring Operation: 22+19=41, Resulting Numbers: [75, 34, 41]
Generated Node #0,3: 59:[75, 34, 41] Operation: 22+19=41
Exploring Operation: 34+19=53, Resulting Numbers: [22, 75, 53]
Generated Node #0,4: 59:[22, 75, 53] Operation: 34+19=53
Moving to Node #0,0
Current State: 59:[75, 19, 56], Operations: ['22+34=56']
Exploring Operation: 56-19=37, Resulting Numbers: [75, 37]
Generated Node #0,0,0: 59:[75, 37] Operation: 56-19=37
Exploring Operation: 19+56=75, Resulting Numbers: [75, 75]
Generated Node #0,0,1: 59:[75, 75] Operation: 19+56=75
Exploring Operation: 75-56=19, Resulting Numbers: [19, 19]
Generated Node #0,0,2: 59:[19, 19] Operation: 75-56=19
Exploring Operation: 75-19=56, Resulting Numbers: [56, 56]
Generated Node #0,0,3: 59:[56, 56] Operation: 75-19=56
Exploring Operation: 75+19=94, Resulting Numbers: [56, 94]
Generated Node #0,0,4: 59:[56, 94] Operation: 75+19=94
Moving to Node #0,4
Current State: 59:[22, 75, 53], Operations: ['34+19=53']
Exploring Operation: 75-22=53, Resulting Numbers: [53, 53]
Generated Node #0,4,0: 59:[53, 53] Operation: 75-22=53
Exploring Operation: 53-22=31, Resulting Numbers: [75, 31]
Generated Node #0,4,1: 59:[75, 31] Operation: 53-22=31
Exploring Operation: 75-53=22, Resulting Numbers: [22, 22]
Generated Node #0,4,2: 59:[22, 22] Operation: 75-53=22
Exploring Operation: 22+75=97, Resulting Numbers: [53, 97]
Generated Node #0,4,3: 59:[53, 97] Operation: 22+75=97
Exploring Operation: 22+53=75, Resulting Numbers: [75, 75]
Generated Node #0,4,4: 59:[75, 75] Operation: 22+53=75
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 59:[53, 53], Operations: ['34+19=53', '75-22=53']
Exploring Operation: 53/53=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 53-53=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 53+53=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 53*53=2809, Resulting Numbers: [2809]
2809,59 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 #0,4,4
Current State: 59:[75, 75], Operations: ['34+19=53', '22+53=75']
Exploring Operation: 75-75=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 75+75=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Exploring Operation: 75*75=5625, Resulting Numbers: [5625]
5625,59 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 #0,4,1
Current State: 59:[75, 31], Operations: ['34+19=53', '53-22=31']
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 75+31=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 75*31=2325, Resulting Numbers: [2325]
2325,59 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 #0,4,3
Current State: 59:[53, 97], Operations: ['34+19=53', '22+75=97']
Exploring Operation: 97-53=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 53*97=5141, Resulting Numbers: [5141]
5141,59 unequal: No Solution
Exploring Operation: 53+97=150, Resulting Numbers: [150]
150,59 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 #0,4,2
Current State: 59:[22, 22], Operations: ['34+19=53', '75-53=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,59 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 59:[75, 34, 41], Operations: ['22+19=41']
Exploring Operation: 75-41=34, Resulting Numbers: [34, 34]
Generated Node #0,3,0: 59:[34, 34] Operation: 75-41=34
Exploring Operation: 75-34=41, Resulting Numbers: [41, 41]
Generated Node #0,3,1: 59:[41, 41] Operation: 75-34=41
Exploring Operation: 75+34=109, Resulting Numbers: [41, 109]
Generated Node #0,3,2: 59:[41, 109] Operation: 75+34=109
Exploring Operation: 41-34=7, Resulting Numbers: [75, 7]
Generated Node #0,3,3: 59:[75, 7] Operation: 41-34=7
Exploring Operation: 34+41=75, Resulting Numbers: [75, 75]
Generated Node #0,3,4: 59:[75, 75] Operation: 34+41=75
Moving to Node #0,1
Current State: 59:[22, 34, 56], Operations: ['75-19=56']
Exploring Operation: 34+56=90, Resulting Numbers: [22, 90]
Generated Node #0,1,0: 59:[22, 90] Operation: 34+56=90
Exploring Operation: 56-22=34, Resulting Numbers: [34, 34]
Generated Node #0,1,1: 59:[34, 34] Operation: 56-22=34
Exploring Operation: 22+34=56, Resulting Numbers: [56, 56]
Generated Node #0,1,2: 59:[56, 56] Operation: 22+34=56
Exploring Operation: 34-22=12, Resulting Numbers: [56, 12]
Generated Node #0,1,3: 59:[56, 12] Operation: 34-22=12
Exploring Operation: 22+56=78, Resulting Numbers: [34, 78]
Generated Node #0,1,4: 59:[34, 78] Operation: 22+56=78
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[56, 56], Operations: ['75-19=56', '22+34=56']
Exploring Operation: 56*56=3136, Resulting Numbers: [3136]
3136,59 unequal: No Solution
Exploring Operation: 56+56=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 56/56=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 56-56=0, Resulting Numbers: [0]
0,59 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 #0,1,4
Current State: 59:[34, 78], Operations: ['75-19=56', '22+56=78']
Exploring Operation: 34*78=2652, Resulting Numbers: [2652]
2652,59 unequal: No Solution
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 34+78=112, Resulting Numbers: [112]
112,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[34, 34], Operations: ['75-19=56', '56-22=34']
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,59 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,59 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 #0,1,3
Current State: 59:[56, 12], Operations: ['75-19=56', '34-22=12']
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,59 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:[22, 90], Operations: ['75-19=56', '34+56=90']
Exploring Operation: 22*90=1980, Resulting Numbers: [1980]
1980,59 unequal: No Solution
Exploring Operation: 22+90=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,59 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:[34, 19, 53], Operations: ['75-22=53']
Exploring Operation: 34+53=87, Resulting Numbers: [19, 87]
Generated Node #0,2,0: 59:[19, 87] Operation: 34+53=87
Exploring Operation: 34+19=53, Resulting Numbers: [53, 53]
Generated Node #0,2,1: 59:[53, 53] Operation: 34+19=53
Exploring Operation: 34-19=15, Resulting Numbers: [53, 15]
Generated Node #0,2,2: 59:[53, 15] Operation: 34-19=15
Exploring Operation: 19+53=72, Resulting Numbers: [34, 72]
Generated Node #0,2,3: 59:[34, 72] Operation: 19+53=72
Exploring Operation: 53-19=34, Resulting Numbers: [34, 34]
Generated Node #0,2,4: 59:[34, 34] Operation: 53-19=34
Moving to Node #0,0,3
Current State: 59:[56, 56], Operations: ['22+34=56', '75-19=56']
Exploring Operation: 56+56=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Exploring Operation: 56*56=3136, Resulting Numbers: [3136]
3136,59 unequal: No Solution
Exploring Operation: 56/56=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 56-56=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[53, 53], Operations: ['75-22=53', '34+19=53']
Exploring Operation: 53/53=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 53*53=2809, Resulting Numbers: [2809]
2809,59 unequal: No Solution
Exploring Operation: 53+53=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 53-53=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[75, 75], Operations: ['22+19=41', '34+41=75']
Exploring Operation: 75-75=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 75+75=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Exploring Operation: 75*75=5625, Resulting Numbers: [5625]
5625,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[75, 75], Operations: ['22+34=56', '19+56=75']
Exploring Operation: 75-75=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 75*75=5625, Resulting Numbers: [5625]
5625,59 unequal: No Solution
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 75+75=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[41, 41], Operations: ['22+19=41', '75-34=41']
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,59 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[75, 37], Operations: ['22+34=56', '56-19=37']
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,59 unequal: No Solution
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[34, 72], Operations: ['75-22=53', '19+53=72']
Exploring Operation: 34*72=2448, Resulting Numbers: [2448]
2448,59 unequal: No Solution
Exploring Operation: 34+72=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Moving to Node #0,0,4
Current State: 59:[56, 94], Operations: ['22+34=56', '75+19=94']
Exploring Operation: 56*94=5264, Resulting Numbers: [5264]
5264,59 unequal: No Solution
Exploring Operation: 56+94=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Moving to Node #0,2,4
Current State: 59:[34, 34], Operations: ['75-22=53', '53-19=34']
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,59 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[34, 34], Operations: ['22+19=41', '75-41=34']
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,59 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[53, 15], Operations: ['75-22=53', '34-19=15']
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 53*15=795, Resulting Numbers: [795]
795,59 unequal: No Solution
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[19, 87], Operations: ['75-22=53', '34+53=87']
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 19+87=106, Resulting Numbers: [106]
106,59 unequal: No Solution
Exploring Operation: 19*87=1653, Resulting Numbers: [1653]
1653,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[41, 109], Operations: ['22+19=41', '75+34=109']
Exploring Operation: 109-41=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 41*109=4469, Resulting Numbers: [4469]
4469,59 unequal: No Solution
Exploring Operation: 41+109=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[75, 7], Operations: ['22+19=41', '41-34=7']
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,59 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[19, 19], Operations: ['22+34=56', '75-56=19']
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,59 unequal: No Solution
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,59 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
67,
30,
17,
2
] | 71 | [
"67-30=37",
"17*2=34",
"37+34=71"
] | Current State: 71:[67, 30, 17, 2], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [17, 2, 37]
Generated Node #2: [17, 2, 37] from Operation: 67-30=37
Current State: 71:[17, 2, 37], Operations: ['67-30=37']
Exploring Operation: 17*2=34, Resulting Numbers: [37, 34]
Generated Node #3: [37, 34] from Operation: 17*2=34
Current State: 71:[37, 34], Operations: ['67-30=37', '17*2=34']
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[67, 30, 17, 2], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [67, 17, 60]
Generated Node #0,0: 71:[67, 17, 60] Operation: 30*2=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[67, 17, 60], Operations: ['30*2=60']
Exploring Operation: 17+60=77, Resulting Numbers: [67, 77]
Generated Node #0,0,0: 71:[67, 77] Operation: 17+60=77
Moving to Node #0,0,0
Current State: 71:[67, 77], Operations: ['30*2=60', '17+60=77']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,71 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 |
[
6,
83,
30,
12
] | 100 | [
"30/6=5",
"83+12=95",
"5+95=100"
] | Current State: 100:[6, 83, 30, 12], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [83, 12, 5]
Generated Node #2: [83, 12, 5] from Operation: 30/6=5
Current State: 100:[83, 12, 5], Operations: ['30/6=5']
Exploring Operation: 83+12=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 83+12=95
Current State: 100:[5, 95], Operations: ['30/6=5', '83+12=95']
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[6, 83, 30, 12], Operations: []
Exploring Operation: 83+12=95, Resulting Numbers: [6, 30, 95]
Generated Node #0,0: 100:[6, 30, 95] Operation: 83+12=95
Exploring Operation: 83+30=113, Resulting Numbers: [6, 12, 113]
Generated Node #0,1: 100:[6, 12, 113] Operation: 83+30=113
Exploring Operation: 83-30=53, Resulting Numbers: [6, 12, 53]
Generated Node #0,2: 100:[6, 12, 53] Operation: 83-30=53
Moving to Node #0,2
Current State: 100:[6, 12, 53], Operations: ['83-30=53']
Exploring Operation: 12-6=6, Resulting Numbers: [53, 6]
Generated Node #0,2,0: 100:[53, 6] Operation: 12-6=6
Exploring Operation: 6+12=18, Resulting Numbers: [53, 18]
Generated Node #0,2,1: 100:[53, 18] Operation: 6+12=18
Exploring Operation: 12/6=2, Resulting Numbers: [53, 2]
Generated Node #0,2,2: 100:[53, 2] Operation: 12/6=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[53, 2], Operations: ['83-30=53', '12/6=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,100 unequal: No Solution
No 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: 100:[53, 6], Operations: ['83-30=53', '12-6=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,100 unequal: No Solution
No 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: 100:[53, 18], Operations: ['83-30=53', '6+12=18']
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,100 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: 100:[6, 30, 95], Operations: ['83+12=95']
Exploring Operation: 30-6=24, Resulting Numbers: [95, 24]
Generated Node #0,0,0: 100:[95, 24] Operation: 30-6=24
Exploring Operation: 6+95=101, Resulting Numbers: [30, 101]
Generated Node #0,0,1: 100:[30, 101] Operation: 6+95=101
Exploring Operation: 30/6=5, Resulting Numbers: [95, 5]
Generated Node #0,0,2: 100:[95, 5] Operation: 30/6=5
Moving to Node #0,1
Current State: 100:[6, 12, 113], Operations: ['83+30=113']
Exploring Operation: 12/6=2, Resulting Numbers: [113, 2]
Generated Node #0,1,0: 100:[113, 2] Operation: 12/6=2
Exploring Operation: 113-6=107, Resulting Numbers: [12, 107]
Generated Node #0,1,1: 100:[12, 107] Operation: 113-6=107
Exploring Operation: 113-12=101, Resulting Numbers: [6, 101]
Generated Node #0,1,2: 100:[6, 101] Operation: 113-12=101
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[6, 101], Operations: ['83+30=113', '113-12=101']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 6+101=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Exploring Operation: 6*101=606, Resulting Numbers: [606]
606,100 unequal: No Solution
No 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: 100:[12, 107], Operations: ['83+30=113', '113-6=107']
Exploring Operation: 107-12=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 12+107=119, Resulting Numbers: [119]
119,100 unequal: No Solution
Exploring Operation: 12*107=1284, Resulting Numbers: [1284]
1284,100 unequal: No Solution
No 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: 100:[113, 2], Operations: ['83+30=113', '12/6=2']
Exploring Operation: 113*2=226, Resulting Numbers: [226]
226,100 unequal: No Solution
Exploring Operation: 113-2=111, Resulting Numbers: [111]
111,100 unequal: No Solution
Exploring Operation: 113+2=115, Resulting Numbers: [115]
115,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 100:[95, 5], Operations: ['83+12=95', '30/6=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,100 unequal: No Solution
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[6, 83, 30, 12], Operations: []
Exploring Operation: 83+12=95, Resulting Numbers: [6, 30, 95]
Generated Node #0,0: 100:[6, 30, 95] Operation: 83+12=95
Moving to Node #0,0
Current State: 100:[6, 30, 95], Operations: ['83+12=95']
Exploring Operation: 30/6=5, Resulting Numbers: [95, 5]
Generated Node #0,0,2: 100:[95, 5] Operation: 30/6=5
Moving to Node #0,0,2
Current State: 100:[95, 5], Operations: ['83+12=95', '30/6=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.967882 | hs_3 | sum_heuristic |
[
70,
48,
87,
67
] | 71 | [
"70-67=3",
"48/3=16",
"87-16=71"
] | Current State: 71:[70, 48, 87, 67], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [48, 87, 3]
Generated Node #2: [48, 87, 3] from Operation: 70-67=3
Current State: 71:[48, 87, 3], Operations: ['70-67=3']
Exploring Operation: 48/3=16, Resulting Numbers: [87, 16]
Generated Node #3: [87, 16] from Operation: 48/3=16
Current State: 71:[87, 16], Operations: ['70-67=3', '48/3=16']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[70, 48, 87, 67], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [70, 67, 39]
Generated Node #0,0: 71:[70, 67, 39] Operation: 87-48=39
Moving to Node #0,0
Current State: 71:[70, 67, 39], Operations: ['87-48=39']
Exploring Operation: 67+39=106, Resulting Numbers: [70, 106]
Generated Node #0,0,0: 71:[70, 106] Operation: 67+39=106
Moving to Node #0,0,0
Current State: 71:[70, 106], Operations: ['87-48=39', '67+39=106']
Exploring Operation: 106-70=36, Resulting Numbers: [36]
36,71 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
47,
7,
6,
26
] | 31 | [
"47+26=73",
"7*6=42",
"73-42=31"
] | Current State: 31:[47, 7, 6, 26], Operations: []
Exploring Operation: 47+26=73, Resulting Numbers: [7, 6, 73]
Generated Node #2: [7, 6, 73] from Operation: 47+26=73
Current State: 31:[7, 6, 73], Operations: ['47+26=73']
Exploring Operation: 7*6=42, Resulting Numbers: [73, 42]
Generated Node #3: [73, 42] from Operation: 7*6=42
Current State: 31:[73, 42], Operations: ['47+26=73', '7*6=42']
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[47, 7, 6, 26], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [47, 26, 42]
Generated Node #0,0: 31:[47, 26, 42] Operation: 7*6=42
Exploring Operation: 6+26=32, Resulting Numbers: [47, 7, 32]
Generated Node #0,1: 31:[47, 7, 32] Operation: 6+26=32
Exploring Operation: 47-7=40, Resulting Numbers: [6, 26, 40]
Generated Node #0,2: 31:[6, 26, 40] Operation: 47-7=40
Exploring Operation: 47-6=41, Resulting Numbers: [7, 26, 41]
Generated Node #0,3: 31:[7, 26, 41] Operation: 47-6=41
Exploring Operation: 7+6=13, Resulting Numbers: [47, 26, 13]
Generated Node #0,4: 31:[47, 26, 13] Operation: 7+6=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[47, 26, 42], Operations: ['7*6=42']
Exploring Operation: 47-42=5, Resulting Numbers: [26, 5]
Generated Node #0,0,0: 31:[26, 5] Operation: 47-42=5
Exploring Operation: 26+42=68, Resulting Numbers: [47, 68]
Generated Node #0,0,1: 31:[47, 68] Operation: 26+42=68
Exploring Operation: 47+26=73, Resulting Numbers: [42, 73]
Generated Node #0,0,2: 31:[42, 73] Operation: 47+26=73
Exploring Operation: 47-26=21, Resulting Numbers: [42, 21]
Generated Node #0,0,3: 31:[42, 21] Operation: 47-26=21
Exploring Operation: 42-26=16, Resulting Numbers: [47, 16]
Generated Node #0,0,4: 31:[47, 16] Operation: 42-26=16
Moving to Node #0,0,3
Current State: 31:[42, 21], Operations: ['7*6=42', '47-26=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,31 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[47, 16], Operations: ['7*6=42', '42-26=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,31 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[47, 7, 6, 26], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [47, 26, 42]
Generated Node #0,0: 31:[47, 26, 42] Operation: 7*6=42
Moving to Node #0,0
Current State: 31:[47, 26, 42], Operations: ['7*6=42']
Exploring Operation: 42-26=16, Resulting Numbers: [47, 16]
Generated Node #0,0,4: 31:[47, 16] Operation: 42-26=16
Moving to Node #0,0,4
Current State: 31:[47, 16], Operations: ['7*6=42', '42-26=16']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
30,
41,
73,
36
] | 77 | [
"41-36=5",
"30*5=150",
"150-73=77"
] | Current State: 77:[30, 41, 73, 36], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [30, 73, 5]
Generated Node #2: [30, 73, 5] from Operation: 41-36=5
Current State: 77:[30, 73, 5], Operations: ['41-36=5']
Exploring Operation: 30*5=150, Resulting Numbers: [73, 150]
Generated Node #3: [73, 150] from Operation: 30*5=150
Current State: 77:[73, 150], Operations: ['41-36=5', '30*5=150']
Exploring Operation: 150-73=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[30, 41, 73, 36], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [30, 73, 5]
Generated Node #0,0: 77:[30, 73, 5] Operation: 41-36=5
Exploring Operation: 36-30=6, Resulting Numbers: [41, 73, 6]
Generated Node #0,1: 77:[41, 73, 6] Operation: 36-30=6
Exploring Operation: 41+36=77, Resulting Numbers: [30, 73, 77]
Generated Node #0,2: 77:[30, 73, 77] Operation: 41+36=77
Exploring Operation: 41-30=11, Resulting Numbers: [73, 36, 11]
Generated Node #0,3: 77:[73, 36, 11] Operation: 41-30=11
Exploring Operation: 30+41=71, Resulting Numbers: [73, 36, 71]
Generated Node #0,4: 77:[73, 36, 71] Operation: 30+41=71
Moving to Node #0,2
Current State: 77:[30, 73, 77], Operations: ['41+36=77']
Exploring Operation: 30+73=103, Resulting Numbers: [77, 103]
Generated Node #0,2,0: 77:[77, 103] Operation: 30+73=103
Exploring Operation: 77-30=47, Resulting Numbers: [73, 47]
Generated Node #0,2,1: 77:[73, 47] Operation: 77-30=47
Exploring Operation: 30+77=107, Resulting Numbers: [73, 107]
Generated Node #0,2,2: 77:[73, 107] Operation: 30+77=107
Exploring Operation: 73-30=43, Resulting Numbers: [77, 43]
Generated Node #0,2,3: 77:[77, 43] Operation: 73-30=43
Exploring Operation: 77-73=4, Resulting Numbers: [30, 4]
Generated Node #0,2,4: 77:[30, 4] Operation: 77-73=4
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 77:[30, 4], Operations: ['41+36=77', '77-73=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[77, 103], Operations: ['41+36=77', '30+73=103']
Exploring Operation: 103-77=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 77*103=7931, Resulting Numbers: [7931]
7931,77 unequal: No Solution
Exploring Operation: 77+103=180, Resulting Numbers: [180]
180,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[77, 43], Operations: ['41+36=77', '73-30=43']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 77+43=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 77*43=3311, Resulting Numbers: [3311]
3311,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[73, 47], Operations: ['41+36=77', '77-30=47']
Exploring Operation: 73+47=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 73*47=3431, Resulting Numbers: [3431]
3431,77 unequal: No Solution
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[73, 107], Operations: ['41+36=77', '30+77=107']
Exploring Operation: 107-73=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 73+107=180, Resulting Numbers: [180]
180,77 unequal: No Solution
Exploring Operation: 73*107=7811, Resulting Numbers: [7811]
7811,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 77:[30, 73, 5], Operations: ['41-36=5']
Exploring Operation: 30+5=35, Resulting Numbers: [73, 35]
Generated Node #0,0,0: 77:[73, 35] Operation: 30+5=35
Exploring Operation: 30/5=6, Resulting Numbers: [73, 6]
Generated Node #0,0,1: 77:[73, 6] Operation: 30/5=6
Exploring Operation: 73+5=78, Resulting Numbers: [30, 78]
Generated Node #0,0,2: 77:[30, 78] Operation: 73+5=78
Exploring Operation: 30-5=25, Resulting Numbers: [73, 25]
Generated Node #0,0,3: 77:[73, 25] Operation: 30-5=25
Exploring Operation: 30+73=103, Resulting Numbers: [5, 103]
Generated Node #0,0,4: 77:[5, 103] Operation: 30+73=103
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[73, 6], Operations: ['41-36=5', '30/5=6']
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,77 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[73, 25], Operations: ['41-36=5', '30-5=25']
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,77 unequal: No Solution
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 77:[30, 78], Operations: ['41-36=5', '73+5=78']
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,77 unequal: No Solution
Exploring Operation: 30+78=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 30*78=2340, Resulting Numbers: [2340]
2340,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[73, 35], Operations: ['41-36=5', '30+5=35']
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,77 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 77:[5, 103], Operations: ['41-36=5', '30+73=103']
Exploring Operation: 103-5=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 5*103=515, Resulting Numbers: [515]
515,77 unequal: No Solution
Exploring Operation: 5+103=108, Resulting Numbers: [108]
108,77 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: 77:[73, 36, 11], Operations: ['41-30=11']
Exploring Operation: 73-36=37, Resulting Numbers: [11, 37]
Generated Node #0,3,0: 77:[11, 37] Operation: 73-36=37
Exploring Operation: 36+11=47, Resulting Numbers: [73, 47]
Generated Node #0,3,1: 77:[73, 47] Operation: 36+11=47
Exploring Operation: 73+36=109, Resulting Numbers: [11, 109]
Generated Node #0,3,2: 77:[11, 109] Operation: 73+36=109
Exploring Operation: 36-11=25, Resulting Numbers: [73, 25]
Generated Node #0,3,3: 77:[73, 25] Operation: 36-11=25
Exploring Operation: 73+11=84, Resulting Numbers: [36, 84]
Generated Node #0,3,4: 77:[36, 84] Operation: 73+11=84
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 77:[73, 25], Operations: ['41-30=11', '36-11=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,77 unequal: No Solution
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 77:[11, 37], Operations: ['41-30=11', '73-36=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,77 unequal: No Solution
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 77:[11, 109], Operations: ['41-30=11', '73+36=109']
Exploring Operation: 109-11=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 11+109=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 11*109=1199, Resulting Numbers: [1199]
1199,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 77:[36, 84], Operations: ['41-30=11', '73+11=84']
Exploring Operation: 36+84=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 36*84=3024, Resulting Numbers: [3024]
3024,77 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 77:[73, 47], Operations: ['41-30=11', '36+11=47']
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 73+47=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 73*47=3431, Resulting Numbers: [3431]
3431,77 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: 77:[41, 73, 6], Operations: ['36-30=6']
Exploring Operation: 73-41=32, Resulting Numbers: [6, 32]
Generated Node #0,1,0: 77:[6, 32] Operation: 73-41=32
Exploring Operation: 41+73=114, Resulting Numbers: [6, 114]
Generated Node #0,1,1: 77:[6, 114] Operation: 41+73=114
Exploring Operation: 41-6=35, Resulting Numbers: [73, 35]
Generated Node #0,1,2: 77:[73, 35] Operation: 41-6=35
Exploring Operation: 73+6=79, Resulting Numbers: [41, 79]
Generated Node #0,1,3: 77:[41, 79] Operation: 73+6=79
Exploring Operation: 41+6=47, Resulting Numbers: [73, 47]
Generated Node #0,1,4: 77:[73, 47] Operation: 41+6=47
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[6, 32], Operations: ['36-30=6', '73-41=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,77 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[73, 35], Operations: ['36-30=6', '41-6=35']
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 77:[41, 79], Operations: ['36-30=6', '73+6=79']
Exploring Operation: 41+79=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 41*79=3239, Resulting Numbers: [3239]
3239,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 77:[73, 47], Operations: ['36-30=6', '41+6=47']
Exploring Operation: 73*47=3431, Resulting Numbers: [3431]
3431,77 unequal: No Solution
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 73+47=120, Resulting Numbers: [120]
120,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[6, 114], Operations: ['36-30=6', '41+73=114']
Exploring Operation: 114-6=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 6*114=684, Resulting Numbers: [684]
684,77 unequal: No Solution
Exploring Operation: 6+114=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,77 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: 77:[73, 36, 71], Operations: ['30+41=71']
Exploring Operation: 71-36=35, Resulting Numbers: [73, 35]
Generated Node #0,4,0: 77:[73, 35] Operation: 71-36=35
Exploring Operation: 73+36=109, Resulting Numbers: [71, 109]
Generated Node #0,4,1: 77:[71, 109] Operation: 73+36=109
Exploring Operation: 73-71=2, Resulting Numbers: [36, 2]
Generated Node #0,4,2: 77:[36, 2] Operation: 73-71=2
Exploring Operation: 36+71=107, Resulting Numbers: [73, 107]
Generated Node #0,4,3: 77:[73, 107] Operation: 36+71=107
Exploring Operation: 73-36=37, Resulting Numbers: [71, 37]
Generated Node #0,4,4: 77:[71, 37] Operation: 73-36=37
Moving to Node #0,4,0
Current State: 77:[73, 35], Operations: ['30+41=71', '71-36=35']
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,77 unequal: No Solution
Moving to Node #0,4,2
Current State: 77:[36, 2], Operations: ['30+41=71', '73-71=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Moving to Node #0,4,4
Current State: 77:[71, 37], Operations: ['30+41=71', '73-36=37']
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,77 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,77 unequal: No Solution
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Moving to Node #0,4,3
Current State: 77:[73, 107], Operations: ['30+41=71', '36+71=107']
Exploring Operation: 73+107=180, Resulting Numbers: [180]
180,77 unequal: No Solution
Exploring Operation: 73*107=7811, Resulting Numbers: [7811]
7811,77 unequal: No Solution
Exploring Operation: 107-73=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Moving to Node #0,4,1
Current State: 77:[71, 109], Operations: ['30+41=71', '73+36=109']
Exploring Operation: 109-71=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 71+109=180, Resulting Numbers: [180]
180,77 unequal: No Solution
Exploring Operation: 71*109=7739, Resulting Numbers: [7739]
7739,77 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
68,
42,
7
] | 96 | [
"42/2=21",
"68+7=75",
"21+75=96"
] | Current State: 96:[2, 68, 42, 7], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [68, 7, 21]
Generated Node #2: [68, 7, 21] from Operation: 42/2=21
Current State: 96:[68, 7, 21], Operations: ['42/2=21']
Exploring Operation: 68+7=75, Resulting Numbers: [21, 75]
Generated Node #3: [21, 75] from Operation: 68+7=75
Current State: 96:[21, 75], Operations: ['42/2=21', '68+7=75']
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[2, 68, 42, 7], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [2, 7, 26]
Generated Node #0,0: 96:[2, 7, 26] Operation: 68-42=26
Exploring Operation: 68+42=110, Resulting Numbers: [2, 7, 110]
Generated Node #0,1: 96:[2, 7, 110] Operation: 68+42=110
Exploring Operation: 68/2=34, Resulting Numbers: [42, 7, 34]
Generated Node #0,2: 96:[42, 7, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[2, 7, 26], Operations: ['68-42=26']
Exploring Operation: 7+26=33, Resulting Numbers: [2, 33]
Generated Node #0,0,0: 96:[2, 33] Operation: 7+26=33
Exploring Operation: 26-2=24, Resulting Numbers: [7, 24]
Generated Node #0,0,1: 96:[7, 24] Operation: 26-2=24
Exploring Operation: 26/2=13, Resulting Numbers: [7, 13]
Generated Node #0,0,2: 96:[7, 13] Operation: 26/2=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[2, 33], Operations: ['68-42=26', '7+26=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,96 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[7, 24], Operations: ['68-42=26', '26-2=24']
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,96 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,96 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 96:[7, 13], Operations: ['68-42=26', '26/2=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,96 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,96 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,96 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: 96:[42, 7, 34], Operations: ['68/2=34']
Exploring Operation: 42-34=8, Resulting Numbers: [7, 8]
Generated Node #0,2,0: 96:[7, 8] Operation: 42-34=8
Exploring Operation: 42/7=6, Resulting Numbers: [34, 6]
Generated Node #0,2,1: 96:[34, 6] Operation: 42/7=6
Exploring Operation: 42+7=49, Resulting Numbers: [34, 49]
Generated Node #0,2,2: 96:[34, 49] Operation: 42+7=49
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[7, 8], Operations: ['68/2=34', '42-34=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[34, 6], Operations: ['68/2=34', '42/7=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,96 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,96 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[34, 49], Operations: ['68/2=34', '42+7=49']
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,96 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,96 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,96 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: 96:[2, 7, 110], Operations: ['68+42=110']
Exploring Operation: 110-7=103, Resulting Numbers: [2, 103]
Generated Node #0,1,0: 96:[2, 103] Operation: 110-7=103
Exploring Operation: 110-2=108, Resulting Numbers: [7, 108]
Generated Node #0,1,1: 96:[7, 108] Operation: 110-2=108
Exploring Operation: 110/2=55, Resulting Numbers: [7, 55]
Generated Node #0,1,2: 96:[7, 55] Operation: 110/2=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[2, 103], Operations: ['68+42=110', '110-7=103']
Exploring Operation: 103-2=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 2*103=206, Resulting Numbers: [206]
206,96 unequal: No Solution
Exploring Operation: 2+103=105, Resulting Numbers: [105]
105,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[7, 55], Operations: ['68+42=110', '110/2=55']
Exploring Operation: 7*55=385, Resulting Numbers: [385]
385,96 unequal: No Solution
Exploring Operation: 7+55=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[7, 108], Operations: ['68+42=110', '110-2=108']
Exploring Operation: 108-7=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 7+108=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Exploring Operation: 7*108=756, Resulting Numbers: [756]
756,96 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 |
[
64,
78,
69,
5
] | 88 | [
"78-64=14",
"69+5=74",
"14+74=88"
] | Current State: 88:[64, 78, 69, 5], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [69, 5, 14]
Generated Node #2: [69, 5, 14] from Operation: 78-64=14
Current State: 88:[69, 5, 14], Operations: ['78-64=14']
Exploring Operation: 69+5=74, Resulting Numbers: [14, 74]
Generated Node #3: [14, 74] from Operation: 69+5=74
Current State: 88:[14, 74], Operations: ['78-64=14', '69+5=74']
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[64, 78, 69, 5], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [78, 5, 5]
Generated Node #0,0: 88:[78, 5, 5] Operation: 69-64=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[78, 5, 5], Operations: ['69-64=5']
Exploring Operation: 78+5=83, Resulting Numbers: [5, 83]
Generated Node #0,0,0: 88:[5, 83] Operation: 78+5=83
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[5, 83], Operations: ['69-64=5', '78+5=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[64, 78, 69, 5], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [78, 5, 5]
Generated Node #0,0: 88:[78, 5, 5] Operation: 69-64=5
Moving to Node #0,0
Current State: 88:[78, 5, 5], Operations: ['69-64=5']
Exploring Operation: 78+5=83, Resulting Numbers: [5, 83]
Generated Node #0,0,0: 88:[5, 83] Operation: 78+5=83
Moving to Node #0,0,0
Current State: 88:[5, 83], Operations: ['69-64=5', '78+5=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
36,
82,
28,
61
] | 85 | [
"36+82=118",
"61-28=33",
"118-33=85"
] | Current State: 85:[36, 82, 28, 61], Operations: []
Exploring Operation: 36+82=118, Resulting Numbers: [28, 61, 118]
Generated Node #2: [28, 61, 118] from Operation: 36+82=118
Current State: 85:[28, 61, 118], Operations: ['36+82=118']
Exploring Operation: 61-28=33, Resulting Numbers: [118, 33]
Generated Node #3: [118, 33] from Operation: 61-28=33
Current State: 85:[118, 33], Operations: ['36+82=118', '61-28=33']
Exploring Operation: 118-33=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[36, 82, 28, 61], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [82, 28, 25]
Generated Node #0,0: 85:[82, 28, 25] Operation: 61-36=25
Exploring Operation: 36+61=97, Resulting Numbers: [82, 28, 97]
Generated Node #0,1: 85:[82, 28, 97] Operation: 36+61=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[82, 28, 25], Operations: ['61-36=25']
Exploring Operation: 28-25=3, Resulting Numbers: [82, 3]
Generated Node #0,0,0: 85:[82, 3] Operation: 28-25=3
Exploring Operation: 82+28=110, Resulting Numbers: [25, 110]
Generated Node #0,0,1: 85:[25, 110] Operation: 82+28=110
Moving to Node #0,0,0
Current State: 85:[82, 3], Operations: ['61-36=25', '28-25=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,85 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[36, 82, 28, 61], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [82, 28, 25]
Generated Node #0,0: 85:[82, 28, 25] Operation: 61-36=25
Moving to Node #0,0
Current State: 85:[82, 28, 25], Operations: ['61-36=25']
Exploring Operation: 28-25=3, Resulting Numbers: [82, 3]
Generated Node #0,0,0: 85:[82, 3] Operation: 28-25=3
Moving to Node #0,0,0
Current State: 85:[82, 3], Operations: ['61-36=25', '28-25=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
60,
36,
80,
45
] | 61 | [
"60+36=96",
"80-45=35",
"96-35=61"
] | Current State: 61:[60, 36, 80, 45], Operations: []
Exploring Operation: 60+36=96, Resulting Numbers: [80, 45, 96]
Generated Node #2: [80, 45, 96] from Operation: 60+36=96
Current State: 61:[80, 45, 96], Operations: ['60+36=96']
Exploring Operation: 80-45=35, Resulting Numbers: [96, 35]
Generated Node #3: [96, 35] from Operation: 80-45=35
Current State: 61:[96, 35], Operations: ['60+36=96', '80-45=35']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[60, 36, 80, 45], Operations: []
Exploring Operation: 80-36=44, Resulting Numbers: [60, 45, 44]
Generated Node #0,0: 61:[60, 45, 44] Operation: 80-36=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[60, 45, 44], Operations: ['80-36=44']
Exploring Operation: 45+44=89, Resulting Numbers: [60, 89]
Generated Node #0,0,0: 61:[60, 89] Operation: 45+44=89
Moving to Node #0,0,0
Current State: 61:[60, 89], Operations: ['80-36=44', '45+44=89']
Exploring Operation: 89-60=29, Resulting Numbers: [29]
29,61 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 |
[
53,
99,
1,
1
] | 23 | [
"99-53=46",
"1+1=2",
"46/2=23"
] | Current State: 23:[53, 99, 1, 1], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [1, 1, 46]
Generated Node #2: [1, 1, 46] from Operation: 99-53=46
Current State: 23:[1, 1, 46], Operations: ['99-53=46']
Exploring Operation: 1+1=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 1+1=2
Current State: 23:[46, 2], Operations: ['99-53=46', '1+1=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[53, 99, 1, 1], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [1, 1, 46]
Generated Node #0,0: 23:[1, 1, 46] Operation: 99-53=46
Exploring Operation: 53-1=52, Resulting Numbers: [99, 1, 52]
Generated Node #0,1: 23:[99, 1, 52] Operation: 53-1=52
Exploring Operation: 53-1=52, Resulting Numbers: [99, 1, 52]
Generated Node #0,2: 23:[99, 1, 52] Operation: 53-1=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[1, 1, 46], Operations: ['99-53=46']
Exploring Operation: 1+1=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 23:[46, 2] Operation: 1+1=2
Exploring Operation: 46-1=45, Resulting Numbers: [1, 45]
Generated Node #0,0,1: 23:[1, 45] Operation: 46-1=45
Exploring Operation: 46-1=45, Resulting Numbers: [1, 45]
Generated Node #0,0,2: 23:[1, 45] Operation: 46-1=45
Moving to Node #0,0,0
Current State: 23:[46, 2], Operations: ['99-53=46', '1+1=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[53, 99, 1, 1], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [1, 1, 46]
Generated Node #0,0: 23:[1, 1, 46] Operation: 99-53=46
Moving to Node #0,0
Current State: 23:[1, 1, 46], Operations: ['99-53=46']
Exploring Operation: 1+1=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 23:[46, 2] Operation: 1+1=2
Moving to Node #0,0,0
Current State: 23:[46, 2], Operations: ['99-53=46', '1+1=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
83,
49,
84,
75
] | 43 | [
"83-49=34",
"84-75=9",
"34+9=43"
] | Current State: 43:[83, 49, 84, 75], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [84, 75, 34]
Generated Node #2: [84, 75, 34] from Operation: 83-49=34
Current State: 43:[84, 75, 34], Operations: ['83-49=34']
Exploring Operation: 84-75=9, Resulting Numbers: [34, 9]
Generated Node #3: [34, 9] from Operation: 84-75=9
Current State: 43:[34, 9], Operations: ['83-49=34', '84-75=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[83, 49, 84, 75], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [84, 75, 34]
Generated Node #0,0: 43:[84, 75, 34] Operation: 83-49=34
Exploring Operation: 84-75=9, Resulting Numbers: [83, 49, 9]
Generated Node #0,1: 43:[83, 49, 9] Operation: 84-75=9
Exploring Operation: 84-83=1, Resulting Numbers: [49, 75, 1]
Generated Node #0,2: 43:[49, 75, 1] Operation: 84-83=1
Exploring Operation: 84-49=35, Resulting Numbers: [83, 75, 35]
Generated Node #0,3: 43:[83, 75, 35] Operation: 84-49=35
Exploring Operation: 83-75=8, Resulting Numbers: [49, 84, 8]
Generated Node #0,4: 43:[49, 84, 8] Operation: 83-75=8
Moving to Node #0,1
Current State: 43:[83, 49, 9], Operations: ['84-75=9']
Exploring Operation: 49-9=40, Resulting Numbers: [83, 40]
Generated Node #0,1,0: 43:[83, 40] Operation: 49-9=40
Exploring Operation: 83+9=92, Resulting Numbers: [49, 92]
Generated Node #0,1,1: 43:[49, 92] Operation: 83+9=92
Exploring Operation: 49+9=58, Resulting Numbers: [83, 58]
Generated Node #0,1,2: 43:[83, 58] Operation: 49+9=58
Exploring Operation: 83-9=74, Resulting Numbers: [49, 74]
Generated Node #0,1,3: 43:[49, 74] Operation: 83-9=74
Exploring Operation: 83-49=34, Resulting Numbers: [9, 34]
Generated Node #0,1,4: 43:[9, 34] Operation: 83-49=34
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 43:[49, 74], Operations: ['84-75=9', '83-9=74']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 49*74=3626, Resulting Numbers: [3626]
3626,43 unequal: No Solution
Exploring Operation: 49+74=123, Resulting Numbers: [123]
123,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[83, 40], Operations: ['84-75=9', '49-9=40']
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,43 unequal: No Solution
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,43 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[83, 49, 84, 75], Operations: []
Exploring Operation: 84-75=9, Resulting Numbers: [83, 49, 9]
Generated Node #0,1: 43:[83, 49, 9] Operation: 84-75=9
Moving to Node #0,1
Current State: 43:[83, 49, 9], Operations: ['84-75=9']
Exploring Operation: 49-9=40, Resulting Numbers: [83, 40]
Generated Node #0,1,0: 43:[83, 40] Operation: 49-9=40
Moving to Node #0,1,0
Current State: 43:[83, 40], Operations: ['84-75=9', '49-9=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
56,
70,
30,
20
] | 76 | [
"56+70=126",
"30+20=50",
"126-50=76"
] | Current State: 76:[56, 70, 30, 20], Operations: []
Exploring Operation: 56+70=126, Resulting Numbers: [30, 20, 126]
Generated Node #2: [30, 20, 126] from Operation: 56+70=126
Current State: 76:[30, 20, 126], Operations: ['56+70=126']
Exploring Operation: 30+20=50, Resulting Numbers: [126, 50]
Generated Node #3: [126, 50] from Operation: 30+20=50
Current State: 76:[126, 50], Operations: ['56+70=126', '30+20=50']
Exploring Operation: 126-50=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[56, 70, 30, 20], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [30, 20, 14]
Generated Node #0,0: 76:[30, 20, 14] Operation: 70-56=14
Exploring Operation: 56-30=26, Resulting Numbers: [70, 20, 26]
Generated Node #0,1: 76:[70, 20, 26] Operation: 56-30=26
Exploring Operation: 56+20=76, Resulting Numbers: [70, 30, 76]
Generated Node #0,2: 76:[70, 30, 76] Operation: 56+20=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[30, 20, 14], Operations: ['70-56=14']
Exploring Operation: 30-14=16, Resulting Numbers: [20, 16]
Generated Node #0,0,0: 76:[20, 16] Operation: 30-14=16
Exploring Operation: 20-14=6, Resulting Numbers: [30, 6]
Generated Node #0,0,1: 76:[30, 6] Operation: 20-14=6
Exploring Operation: 30+14=44, Resulting Numbers: [20, 44]
Generated Node #0,0,2: 76:[20, 44] Operation: 30+14=44
Moving to Node #0,0,0
Current State: 76:[20, 16], Operations: ['70-56=14', '30-14=16']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[20, 44], Operations: ['70-56=14', '30+14=44']
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,76 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,76 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[30, 6], Operations: ['70-56=14', '20-14=6']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[70, 20, 26], Operations: ['56-30=26']
Exploring Operation: 26-20=6, Resulting Numbers: [70, 6]
Generated Node #0,1,0: 76:[70, 6] Operation: 26-20=6
Exploring Operation: 70-26=44, Resulting Numbers: [20, 44]
Generated Node #0,1,1: 76:[20, 44] Operation: 70-26=44
Exploring Operation: 20+26=46, Resulting Numbers: [70, 46]
Generated Node #0,1,2: 76:[70, 46] Operation: 20+26=46
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[20, 44], Operations: ['56-30=26', '70-26=44']
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,76 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,76 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[70, 6], Operations: ['56-30=26', '26-20=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[56, 70, 30, 20], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [70, 20, 26]
Generated Node #0,1: 76:[70, 20, 26] Operation: 56-30=26
Moving to Node #0,1
Current State: 76:[70, 20, 26], Operations: ['56-30=26']
Exploring Operation: 26-20=6, Resulting Numbers: [70, 6]
Generated Node #0,1,0: 76:[70, 6] Operation: 26-20=6
Moving to Node #0,1,0
Current State: 76:[70, 6], Operations: ['56-30=26', '26-20=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
82,
91,
6,
74
] | 93 | [
"82+91=173",
"6+74=80",
"173-80=93"
] | Current State: 93:[82, 91, 6, 74], Operations: []
Exploring Operation: 82+91=173, Resulting Numbers: [6, 74, 173]
Generated Node #2: [6, 74, 173] from Operation: 82+91=173
Current State: 93:[6, 74, 173], Operations: ['82+91=173']
Exploring Operation: 6+74=80, Resulting Numbers: [173, 80]
Generated Node #3: [173, 80] from Operation: 6+74=80
Current State: 93:[173, 80], Operations: ['82+91=173', '6+74=80']
Exploring Operation: 173-80=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[82, 91, 6, 74], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [91, 74, 88]
Generated Node #0,0: 93:[91, 74, 88] Operation: 82+6=88
Exploring Operation: 82-74=8, Resulting Numbers: [91, 6, 8]
Generated Node #0,1: 93:[91, 6, 8] Operation: 82-74=8
Exploring Operation: 6+74=80, Resulting Numbers: [82, 91, 80]
Generated Node #0,2: 93:[82, 91, 80] Operation: 6+74=80
Moving to Node #0,1
Current State: 93:[91, 6, 8], Operations: ['82-74=8']
Exploring Operation: 8-6=2, Resulting Numbers: [91, 2]
Generated Node #0,1,0: 93:[91, 2] Operation: 8-6=2
Exploring Operation: 91+8=99, Resulting Numbers: [6, 99]
Generated Node #0,1,1: 93:[6, 99] Operation: 91+8=99
Exploring Operation: 91+6=97, Resulting Numbers: [8, 97]
Generated Node #0,1,2: 93:[8, 97] Operation: 91+6=97
Moving to Node #0,0
Current State: 93:[91, 74, 88], Operations: ['82+6=88']
Exploring Operation: 88-74=14, Resulting Numbers: [91, 14]
Generated Node #0,0,0: 93:[91, 14] Operation: 88-74=14
Exploring Operation: 91-74=17, Resulting Numbers: [88, 17]
Generated Node #0,0,1: 93:[88, 17] Operation: 91-74=17
Exploring Operation: 91-88=3, Resulting Numbers: [74, 3]
Generated Node #0,0,2: 93:[74, 3] Operation: 91-88=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[91, 14], Operations: ['82+6=88', '88-74=14']
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,93 unequal: No Solution
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,93 unequal: No Solution
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,93 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 #0,0,1
Current State: 93:[88, 17], Operations: ['82+6=88', '91-74=17']
Exploring Operation: 88*17=1496, Resulting Numbers: [1496]
1496,93 unequal: No Solution
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 88+17=105, Resulting Numbers: [105]
105,93 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:[74, 3], Operations: ['82+6=88', '91-88=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,93 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 74*3=222, Resulting Numbers: [222]
222,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 93:[82, 91, 80], Operations: ['6+74=80']
Exploring Operation: 82-80=2, Resulting Numbers: [91, 2]
Generated Node #0,2,0: 93:[91, 2] Operation: 82-80=2
Exploring Operation: 91-80=11, Resulting Numbers: [82, 11]
Generated Node #0,2,1: 93:[82, 11] Operation: 91-80=11
Exploring Operation: 91-82=9, Resulting Numbers: [80, 9]
Generated Node #0,2,2: 93:[80, 9] Operation: 91-82=9
Moving to Node #0,1,0
Current State: 93:[91, 2], Operations: ['82-74=8', '8-6=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[82, 91, 6, 74], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [91, 6, 8]
Generated Node #0,1: 93:[91, 6, 8] Operation: 82-74=8
Moving to Node #0,1
Current State: 93:[91, 6, 8], Operations: ['82-74=8']
Exploring Operation: 8-6=2, Resulting Numbers: [91, 2]
Generated Node #0,1,0: 93:[91, 2] Operation: 8-6=2
Moving to Node #0,1,0
Current State: 93:[91, 2], Operations: ['82-74=8', '8-6=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
54,
56,
40,
51
] | 31 | [
"56-54=2",
"40/2=20",
"51-20=31"
] | Current State: 31:[54, 56, 40, 51], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [40, 51, 2]
Generated Node #2: [40, 51, 2] from Operation: 56-54=2
Current State: 31:[40, 51, 2], Operations: ['56-54=2']
Exploring Operation: 40/2=20, Resulting Numbers: [51, 20]
Generated Node #3: [51, 20] from Operation: 40/2=20
Current State: 31:[51, 20], Operations: ['56-54=2', '40/2=20']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[54, 56, 40, 51], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [56, 40, 3]
Generated Node #0,0: 31:[56, 40, 3] Operation: 54-51=3
Exploring Operation: 54-40=14, Resulting Numbers: [56, 51, 14]
Generated Node #0,1: 31:[56, 51, 14] Operation: 54-40=14
Exploring Operation: 56-54=2, Resulting Numbers: [40, 51, 2]
Generated Node #0,2: 31:[40, 51, 2] Operation: 56-54=2
Exploring Operation: 56-51=5, Resulting Numbers: [54, 40, 5]
Generated Node #0,3: 31:[54, 40, 5] Operation: 56-51=5
Exploring Operation: 56-40=16, Resulting Numbers: [54, 51, 16]
Generated Node #0,4: 31:[54, 51, 16] Operation: 56-40=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[40, 51, 2], Operations: ['56-54=2']
Exploring Operation: 51-2=49, Resulting Numbers: [40, 49]
Generated Node #0,2,0: 31:[40, 49] Operation: 51-2=49
Exploring Operation: 40-2=38, Resulting Numbers: [51, 38]
Generated Node #0,2,1: 31:[51, 38] Operation: 40-2=38
Exploring Operation: 40/2=20, Resulting Numbers: [51, 20]
Generated Node #0,2,2: 31:[51, 20] Operation: 40/2=20
Exploring Operation: 40+2=42, Resulting Numbers: [51, 42]
Generated Node #0,2,3: 31:[51, 42] Operation: 40+2=42
Exploring Operation: 51+2=53, Resulting Numbers: [40, 53]
Generated Node #0,2,4: 31:[40, 53] Operation: 51+2=53
Moving to Node #0,2,0
Current State: 31:[40, 49], Operations: ['56-54=2', '51-2=49']
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 40*49=1960, Resulting Numbers: [1960]
1960,31 unequal: No Solution
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[51, 38], Operations: ['56-54=2', '40-2=38']
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,31 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[51, 20], Operations: ['56-54=2', '40/2=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,31 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[54, 56, 40, 51], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [40, 51, 2]
Generated Node #0,2: 31:[40, 51, 2] Operation: 56-54=2
Moving to Node #0,2
Current State: 31:[40, 51, 2], Operations: ['56-54=2']
Exploring Operation: 40/2=20, Resulting Numbers: [51, 20]
Generated Node #0,2,2: 31:[51, 20] Operation: 40/2=20
Moving to Node #0,2,2
Current State: 31:[51, 20], Operations: ['56-54=2', '40/2=20']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
92,
98,
84,
77
] | 29 | [
"92+98=190",
"84+77=161",
"190-161=29"
] | Current State: 29:[92, 98, 84, 77], Operations: []
Exploring Operation: 92+98=190, Resulting Numbers: [84, 77, 190]
Generated Node #2: [84, 77, 190] from Operation: 92+98=190
Current State: 29:[84, 77, 190], Operations: ['92+98=190']
Exploring Operation: 84+77=161, Resulting Numbers: [190, 161]
Generated Node #3: [190, 161] from Operation: 84+77=161
Current State: 29:[190, 161], Operations: ['92+98=190', '84+77=161']
Exploring Operation: 190-161=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[92, 98, 84, 77], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [92, 77, 14]
Generated Node #0,0: 29:[92, 77, 14] Operation: 98-84=14
Exploring Operation: 98-92=6, Resulting Numbers: [84, 77, 6]
Generated Node #0,1: 29:[84, 77, 6] Operation: 98-92=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[92, 77, 14], Operations: ['98-84=14']
Exploring Operation: 92-77=15, Resulting Numbers: [14, 15]
Generated Node #0,0,0: 29:[14, 15] Operation: 92-77=15
Exploring Operation: 92-14=78, Resulting Numbers: [77, 78]
Generated Node #0,0,1: 29:[77, 78] Operation: 92-14=78
Moving to Node #0,0,0
Current State: 29:[14, 15], Operations: ['98-84=14', '92-77=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[92, 98, 84, 77], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [92, 77, 14]
Generated Node #0,0: 29:[92, 77, 14] Operation: 98-84=14
Moving to Node #0,0
Current State: 29:[92, 77, 14], Operations: ['98-84=14']
Exploring Operation: 92-77=15, Resulting Numbers: [14, 15]
Generated Node #0,0,0: 29:[14, 15] Operation: 92-77=15
Moving to Node #0,0,0
Current State: 29:[14, 15], Operations: ['98-84=14', '92-77=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
34,
25,
22,
6
] | 87 | [
"34+25=59",
"22+6=28",
"59+28=87"
] | Current State: 87:[34, 25, 22, 6], Operations: []
Exploring Operation: 34+25=59, Resulting Numbers: [22, 6, 59]
Generated Node #2: [22, 6, 59] from Operation: 34+25=59
Current State: 87:[22, 6, 59], Operations: ['34+25=59']
Exploring Operation: 22+6=28, Resulting Numbers: [59, 28]
Generated Node #3: [59, 28] from Operation: 22+6=28
Current State: 87:[59, 28], Operations: ['34+25=59', '22+6=28']
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[34, 25, 22, 6], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [34, 6, 3]
Generated Node #0,0: 87:[34, 6, 3] Operation: 25-22=3
Exploring Operation: 22+6=28, Resulting Numbers: [34, 25, 28]
Generated Node #0,1: 87:[34, 25, 28] Operation: 22+6=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[34, 6, 3], Operations: ['25-22=3']
Exploring Operation: 34-6=28, Resulting Numbers: [3, 28]
Generated Node #0,0,0: 87:[3, 28] Operation: 34-6=28
Exploring Operation: 34-3=31, Resulting Numbers: [6, 31]
Generated Node #0,0,1: 87:[6, 31] Operation: 34-3=31
Moving to Node #0,0,0
Current State: 87:[3, 28], Operations: ['25-22=3', '34-6=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,87 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[6, 31], Operations: ['25-22=3', '34-3=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,87 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[34, 25, 28], Operations: ['22+6=28']
Exploring Operation: 28-25=3, Resulting Numbers: [34, 3]
Generated Node #0,1,0: 87:[34, 3] Operation: 28-25=3
Exploring Operation: 34-25=9, Resulting Numbers: [28, 9]
Generated Node #0,1,1: 87:[28, 9] Operation: 34-25=9
Moving to Node #0,1,0
Current State: 87:[34, 3], Operations: ['22+6=28', '28-25=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[28, 9], Operations: ['22+6=28', '34-25=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,87 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 |
[
77,
4,
16,
20
] | 48 | [
"4*20=80",
"80-77=3",
"16*3=48"
] | Current State: 48:[77, 4, 16, 20], Operations: []
Exploring Operation: 4*20=80, Resulting Numbers: [77, 16, 80]
Generated Node #2: [77, 16, 80] from Operation: 4*20=80
Current State: 48:[77, 16, 80], Operations: ['4*20=80']
Exploring Operation: 80-77=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 80-77=3
Current State: 48:[16, 3], Operations: ['4*20=80', '80-77=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[77, 4, 16, 20], Operations: []
Exploring Operation: 77-4=73, Resulting Numbers: [16, 20, 73]
Generated Node #0,0: 48:[16, 20, 73] Operation: 77-4=73
Exploring Operation: 77-20=57, Resulting Numbers: [4, 16, 57]
Generated Node #0,1: 48:[4, 16, 57] Operation: 77-20=57
Exploring Operation: 77-16=61, Resulting Numbers: [4, 20, 61]
Generated Node #0,2: 48:[4, 20, 61] Operation: 77-16=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[4, 16, 57], Operations: ['77-20=57']
Exploring Operation: 57-16=41, Resulting Numbers: [4, 41]
Generated Node #0,1,0: 48:[4, 41] Operation: 57-16=41
Exploring Operation: 16-4=12, Resulting Numbers: [57, 12]
Generated Node #0,1,1: 48:[57, 12] Operation: 16-4=12
Exploring Operation: 57-4=53, Resulting Numbers: [16, 53]
Generated Node #0,1,2: 48:[16, 53] Operation: 57-4=53
Moving to Node #0,1,2
Current State: 48:[16, 53], Operations: ['77-20=57', '57-4=53']
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,48 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[4, 41], Operations: ['77-20=57', '57-16=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,48 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[57, 12], Operations: ['77-20=57', '16-4=12']
Exploring Operation: 57*12=684, Resulting Numbers: [684]
684,48 unequal: No Solution
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[4, 20, 61], Operations: ['77-16=61']
Exploring Operation: 61-20=41, Resulting Numbers: [4, 41]
Generated Node #0,2,0: 48:[4, 41] Operation: 61-20=41
Exploring Operation: 20-4=16, Resulting Numbers: [61, 16]
Generated Node #0,2,1: 48:[61, 16] Operation: 20-4=16
Exploring Operation: 4+20=24, Resulting Numbers: [61, 24]
Generated Node #0,2,2: 48:[61, 24] Operation: 4+20=24
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[4, 41], Operations: ['77-16=61', '61-20=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[61, 16], Operations: ['77-16=61', '20-4=16']
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,48 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 48:[61, 24], Operations: ['77-16=61', '4+20=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,48 unequal: No Solution
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[16, 20, 73], Operations: ['77-4=73']
Exploring Operation: 73-20=53, Resulting Numbers: [16, 53]
Generated Node #0,0,0: 48:[16, 53] Operation: 73-20=53
Exploring Operation: 73-16=57, Resulting Numbers: [20, 57]
Generated Node #0,0,1: 48:[20, 57] Operation: 73-16=57
Exploring Operation: 20-16=4, Resulting Numbers: [73, 4]
Generated Node #0,0,2: 48:[73, 4] Operation: 20-16=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[16, 53], Operations: ['77-4=73', '73-20=53']
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[20, 57], Operations: ['77-4=73', '73-16=57']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 20*57=1140, Resulting Numbers: [1140]
1140,48 unequal: No Solution
Exploring Operation: 20+57=77, Resulting Numbers: [77]
77,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[73, 4], Operations: ['77-4=73', '20-16=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,48 unequal: No Solution
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,48 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
20,
21,
96,
13
] | 11 | [
"21+96=117",
"117/13=9",
"20-9=11"
] | Current State: 11:[20, 21, 96, 13], Operations: []
Exploring Operation: 21+96=117, Resulting Numbers: [20, 13, 117]
Generated Node #2: [20, 13, 117] from Operation: 21+96=117
Current State: 11:[20, 13, 117], Operations: ['21+96=117']
Exploring Operation: 117/13=9, Resulting Numbers: [20, 9]
Generated Node #3: [20, 9] from Operation: 117/13=9
Current State: 11:[20, 9], Operations: ['21+96=117', '117/13=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[20, 21, 96, 13], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [20, 13, 75]
Generated Node #0,0: 11:[20, 13, 75] Operation: 96-21=75
Exploring Operation: 96-13=83, Resulting Numbers: [20, 21, 83]
Generated Node #0,1: 11:[20, 21, 83] Operation: 96-13=83
Exploring Operation: 96-20=76, Resulting Numbers: [21, 13, 76]
Generated Node #0,2: 11:[21, 13, 76] Operation: 96-20=76
Moving to Node #0,0
Current State: 11:[20, 13, 75], Operations: ['96-21=75']
Exploring Operation: 20-13=7, Resulting Numbers: [75, 7]
Generated Node #0,0,0: 11:[75, 7] Operation: 20-13=7
Exploring Operation: 75-13=62, Resulting Numbers: [20, 62]
Generated Node #0,0,1: 11:[20, 62] Operation: 75-13=62
Exploring Operation: 75-20=55, Resulting Numbers: [13, 55]
Generated Node #0,0,2: 11:[13, 55] Operation: 75-20=55
Moving to Node #0,2
Current State: 11:[21, 13, 76], Operations: ['96-20=76']
Exploring Operation: 76-13=63, Resulting Numbers: [21, 63]
Generated Node #0,2,0: 11:[21, 63] Operation: 76-13=63
Exploring Operation: 21-13=8, Resulting Numbers: [76, 8]
Generated Node #0,2,1: 11:[76, 8] Operation: 21-13=8
Exploring Operation: 76-21=55, Resulting Numbers: [13, 55]
Generated Node #0,2,2: 11:[13, 55] Operation: 76-21=55
Moving to Node #0,1
Current State: 11:[20, 21, 83], Operations: ['96-13=83']
Exploring Operation: 21-20=1, Resulting Numbers: [83, 1]
Generated Node #0,1,0: 11:[83, 1] Operation: 21-20=1
Exploring Operation: 83-20=63, Resulting Numbers: [21, 63]
Generated Node #0,1,1: 11:[21, 63] Operation: 83-20=63
Exploring Operation: 83-21=62, Resulting Numbers: [20, 62]
Generated Node #0,1,2: 11:[20, 62] Operation: 83-21=62
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[20, 62], Operations: ['96-13=83', '83-21=62']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 20*62=1240, Resulting Numbers: [1240]
1240,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[21, 63], Operations: ['96-13=83', '83-20=63']
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[83, 1], Operations: ['96-13=83', '21-20=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 11:[13, 55], Operations: ['96-21=75', '75-20=55']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[13, 55], Operations: ['96-20=76', '76-21=55']
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,11 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[20, 62], Operations: ['96-21=75', '75-13=62']
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 20*62=1240, Resulting Numbers: [1240]
1240,11 unequal: No Solution
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[21, 63], Operations: ['96-20=76', '76-13=63']
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[76, 8], Operations: ['96-20=76', '21-13=8']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,11 unequal: No Solution
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[75, 7], Operations: ['96-21=75', '20-13=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,11 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
44,
51,
18,
84
] | 88 | [
"18+84=102",
"44*102=4488",
"4488/51=88"
] | Current State: 88:[44, 51, 18, 84], Operations: []
Exploring Operation: 18+84=102, Resulting Numbers: [44, 51, 102]
Generated Node #2: [44, 51, 102] from Operation: 18+84=102
Current State: 88:[44, 51, 102], Operations: ['18+84=102']
Exploring Operation: 44*102=4488, Resulting Numbers: [51, 4488]
Generated Node #3: [51, 4488] from Operation: 44*102=4488
Current State: 88:[51, 4488], Operations: ['18+84=102', '44*102=4488']
Exploring Operation: 4488/51=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[44, 51, 18, 84], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [18, 84, 7]
Generated Node #0,0: 88:[18, 84, 7] Operation: 51-44=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[18, 84, 7], Operations: ['51-44=7']
Exploring Operation: 18-7=11, Resulting Numbers: [84, 11]
Generated Node #0,0,0: 88:[84, 11] Operation: 18-7=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[84, 11], Operations: ['51-44=7', '18-7=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
65,
19,
25,
6
] | 34 | [
"65+25=90",
"90/6=15",
"19+15=34"
] | Current State: 34:[65, 19, 25, 6], Operations: []
Exploring Operation: 65+25=90, Resulting Numbers: [19, 6, 90]
Generated Node #2: [19, 6, 90] from Operation: 65+25=90
Current State: 34:[19, 6, 90], Operations: ['65+25=90']
Exploring Operation: 90/6=15, Resulting Numbers: [19, 15]
Generated Node #3: [19, 15] from Operation: 90/6=15
Current State: 34:[19, 15], Operations: ['65+25=90', '90/6=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[65, 19, 25, 6], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [19, 6, 40]
Generated Node #0,0: 34:[19, 6, 40] Operation: 65-25=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[19, 6, 40], Operations: ['65-25=40']
Exploring Operation: 40-6=34, Resulting Numbers: [19, 34]
Generated Node #0,0,0: 34:[19, 34] Operation: 40-6=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[19, 34], Operations: ['65-25=40', '40-6=34']
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,34 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 |
[
50,
51,
2,
27
] | 38 | [
"51-27=24",
"24/2=12",
"50-12=38"
] | Current State: 38:[50, 51, 2, 27], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [50, 2, 24]
Generated Node #2: [50, 2, 24] from Operation: 51-27=24
Current State: 38:[50, 2, 24], Operations: ['51-27=24']
Exploring Operation: 24/2=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 24/2=12
Current State: 38:[50, 12], Operations: ['51-27=24', '24/2=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[50, 51, 2, 27], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [2, 27, 1]
Generated Node #0,0: 38:[2, 27, 1] Operation: 51-50=1
Exploring Operation: 50-27=23, Resulting Numbers: [51, 2, 23]
Generated Node #0,1: 38:[51, 2, 23] Operation: 50-27=23
Exploring Operation: 51-27=24, Resulting Numbers: [50, 2, 24]
Generated Node #0,2: 38:[50, 2, 24] Operation: 51-27=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[2, 27, 1], Operations: ['51-50=1']
Exploring Operation: 2*1=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 38:[27, 2] Operation: 2*1=2
Exploring Operation: 27-1=26, Resulting Numbers: [2, 26]
Generated Node #0,0,1: 38:[2, 26] Operation: 27-1=26
Exploring Operation: 27-2=25, Resulting Numbers: [1, 25]
Generated Node #0,0,2: 38:[1, 25] Operation: 27-2=25
Moving to Node #0,0,1
Current State: 38:[2, 26], Operations: ['51-50=1', '27-1=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[1, 25], Operations: ['51-50=1', '27-2=25']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[27, 2], Operations: ['51-50=1', '2*1=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,38 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
Current State: 38:[51, 2, 23], Operations: ['50-27=23']
Exploring Operation: 51-23=28, Resulting Numbers: [2, 28]
Generated Node #0,1,0: 38:[2, 28] Operation: 51-23=28
Exploring Operation: 51-2=49, Resulting Numbers: [23, 49]
Generated Node #0,1,1: 38:[23, 49] Operation: 51-2=49
Exploring Operation: 23-2=21, Resulting Numbers: [51, 21]
Generated Node #0,1,2: 38:[51, 21] Operation: 23-2=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[2, 28], Operations: ['50-27=23', '51-23=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,38 unequal: No Solution
No 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: 38:[23, 49], Operations: ['50-27=23', '51-2=49']
Exploring Operation: 23*49=1127, Resulting Numbers: [1127]
1127,38 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,38 unequal: No Solution
No 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: 38:[51, 21], Operations: ['50-27=23', '23-2=21']
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,38 unequal: No Solution
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,38 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,38 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: 38:[50, 2, 24], Operations: ['51-27=24']
Exploring Operation: 50-24=26, Resulting Numbers: [2, 26]
Generated Node #0,2,0: 38:[2, 26] Operation: 50-24=26
Exploring Operation: 50/2=25, Resulting Numbers: [24, 25]
Generated Node #0,2,1: 38:[24, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [24, 48]
Generated Node #0,2,2: 38:[24, 48] Operation: 50-2=48
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[2, 26], Operations: ['51-27=24', '50-24=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,38 unequal: No Solution
No 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: 38:[24, 25], Operations: ['51-27=24', '50/2=25']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,38 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,38 unequal: No Solution
No 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: 38:[24, 48], Operations: ['51-27=24', '50-2=48']
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,38 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 |
[
52,
53,
84,
22
] | 82 | [
"52*84=4368",
"4368-22=4346",
"4346/53=82"
] | Current State: 82:[52, 53, 84, 22], Operations: []
Exploring Operation: 52*84=4368, Resulting Numbers: [53, 22, 4368]
Generated Node #2: [53, 22, 4368] from Operation: 52*84=4368
Current State: 82:[53, 22, 4368], Operations: ['52*84=4368']
Exploring Operation: 4368-22=4346, Resulting Numbers: [53, 4346]
Generated Node #3: [53, 4346] from Operation: 4368-22=4346
Current State: 82:[53, 4346], Operations: ['52*84=4368', '4368-22=4346']
Exploring Operation: 4346/53=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[52, 53, 84, 22], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [84, 22, 1]
Generated Node #0,0: 82:[84, 22, 1] Operation: 53-52=1
Exploring Operation: 52+22=74, Resulting Numbers: [53, 84, 74]
Generated Node #0,1: 82:[53, 84, 74] Operation: 52+22=74
Exploring Operation: 53-22=31, Resulting Numbers: [52, 84, 31]
Generated Node #0,2: 82:[52, 84, 31] Operation: 53-22=31
Exploring Operation: 52-22=30, Resulting Numbers: [53, 84, 30]
Generated Node #0,3: 82:[53, 84, 30] Operation: 52-22=30
Exploring Operation: 53+22=75, Resulting Numbers: [52, 84, 75]
Generated Node #0,4: 82:[52, 84, 75] Operation: 53+22=75
Start Sub Search at level 1: Moving to Node #0,4
Current State: 82:[52, 84, 75], Operations: ['53+22=75']
Exploring Operation: 84-75=9, Resulting Numbers: [52, 9]
Generated Node #0,4,0: 82:[52, 9] Operation: 84-75=9
Exploring Operation: 52+84=136, Resulting Numbers: [75, 136]
Generated Node #0,4,1: 82:[75, 136] Operation: 52+84=136
Exploring Operation: 84-52=32, Resulting Numbers: [75, 32]
Generated Node #0,4,2: 82:[75, 32] Operation: 84-52=32
Exploring Operation: 52+75=127, Resulting Numbers: [84, 127]
Generated Node #0,4,3: 82:[84, 127] Operation: 52+75=127
Exploring Operation: 75-52=23, Resulting Numbers: [84, 23]
Generated Node #0,4,4: 82:[84, 23] Operation: 75-52=23
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 82:[75, 32], Operations: ['53+22=75', '84-52=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,82 unequal: No Solution
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 82:[52, 9], Operations: ['53+22=75', '84-75=9']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 52*9=468, Resulting Numbers: [468]
468,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 82:[84, 23], Operations: ['53+22=75', '75-52=23']
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,82 unequal: No Solution
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 82:[84, 127], Operations: ['53+22=75', '52+75=127']
Exploring Operation: 127-84=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 84*127=10668, Resulting Numbers: [10668]
10668,82 unequal: No Solution
Exploring Operation: 84+127=211, Resulting Numbers: [211]
211,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 82:[75, 136], Operations: ['53+22=75', '52+84=136']
Exploring Operation: 75*136=10200, Resulting Numbers: [10200]
10200,82 unequal: No Solution
Exploring Operation: 136-75=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 75+136=211, Resulting Numbers: [211]
211,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[84, 22, 1], Operations: ['53-52=1']
Exploring Operation: 84/1=84, Resulting Numbers: [22, 84]
Generated Node #0,0,0: 82:[22, 84] Operation: 84/1=84
Exploring Operation: 84-1=83, Resulting Numbers: [22, 83]
Generated Node #0,0,1: 82:[22, 83] Operation: 84-1=83
Exploring Operation: 22+1=23, Resulting Numbers: [84, 23]
Generated Node #0,0,2: 82:[84, 23] Operation: 22+1=23
Exploring Operation: 84*1=84, Resulting Numbers: [22, 84]
Generated Node #0,0,3: 82:[22, 84] Operation: 84*1=84
Exploring Operation: 84-22=62, Resulting Numbers: [1, 62]
Generated Node #0,0,4: 82:[1, 62] Operation: 84-22=62
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[22, 83], Operations: ['53-52=1', '84-1=83']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 22*83=1826, Resulting Numbers: [1826]
1826,82 unequal: No Solution
Exploring Operation: 22+83=105, Resulting Numbers: [105]
105,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[84, 23], Operations: ['53-52=1', '22+1=23']
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,82 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[22, 84], Operations: ['53-52=1', '84/1=84']
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,82 unequal: No Solution
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,82 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 82:[22, 84], Operations: ['53-52=1', '84*1=84']
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,82 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 82:[1, 62], Operations: ['53-52=1', '84-22=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[53, 84, 74], Operations: ['52+22=74']
Exploring Operation: 53+84=137, Resulting Numbers: [74, 137]
Generated Node #0,1,0: 82:[74, 137] Operation: 53+84=137
Exploring Operation: 74-53=21, Resulting Numbers: [84, 21]
Generated Node #0,1,1: 82:[84, 21] Operation: 74-53=21
Exploring Operation: 84-53=31, Resulting Numbers: [74, 31]
Generated Node #0,1,2: 82:[74, 31] Operation: 84-53=31
Exploring Operation: 84-74=10, Resulting Numbers: [53, 10]
Generated Node #0,1,3: 82:[53, 10] Operation: 84-74=10
Exploring Operation: 53+74=127, Resulting Numbers: [84, 127]
Generated Node #0,1,4: 82:[84, 127] Operation: 53+74=127
Moving to Node #0,1,2
Current State: 82:[74, 31], Operations: ['52+22=74', '84-53=31']
Exploring Operation: 74*31=2294, Resulting Numbers: [2294]
2294,82 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 74+31=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[53, 10], Operations: ['52+22=74', '84-74=10']
Exploring Operation: 53*10=530, Resulting Numbers: [530]
530,82 unequal: No Solution
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[84, 21], Operations: ['52+22=74', '74-53=21']
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 84*21=1764, Resulting Numbers: [1764]
1764,82 unequal: No Solution
Exploring Operation: 84+21=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[84, 127], Operations: ['52+22=74', '53+74=127']
Exploring Operation: 84+127=211, Resulting Numbers: [211]
211,82 unequal: No Solution
Exploring Operation: 84*127=10668, Resulting Numbers: [10668]
10668,82 unequal: No Solution
Exploring Operation: 127-84=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[74, 137], Operations: ['52+22=74', '53+84=137']
Exploring Operation: 137-74=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 74*137=10138, Resulting Numbers: [10138]
10138,82 unequal: No Solution
Exploring Operation: 74+137=211, Resulting Numbers: [211]
211,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[52, 84, 31], Operations: ['53-22=31']
Exploring Operation: 52-31=21, Resulting Numbers: [84, 21]
Generated Node #0,2,0: 82:[84, 21] Operation: 52-31=21
Exploring Operation: 84+31=115, Resulting Numbers: [52, 115]
Generated Node #0,2,1: 82:[52, 115] Operation: 84+31=115
Exploring Operation: 84-31=53, Resulting Numbers: [52, 53]
Generated Node #0,2,2: 82:[52, 53] Operation: 84-31=53
Exploring Operation: 52+31=83, Resulting Numbers: [84, 83]
Generated Node #0,2,3: 82:[84, 83] Operation: 52+31=83
Exploring Operation: 84-52=32, Resulting Numbers: [31, 32]
Generated Node #0,2,4: 82:[31, 32] Operation: 84-52=32
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 82:[84, 83], Operations: ['53-22=31', '52+31=83']
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 84*83=6972, Resulting Numbers: [6972]
6972,82 unequal: No Solution
Exploring Operation: 84+83=167, Resulting Numbers: [167]
167,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 82:[31, 32], Operations: ['53-22=31', '84-52=32']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,82 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[84, 21], Operations: ['53-22=31', '52-31=21']
Exploring Operation: 84+21=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 84*21=1764, Resulting Numbers: [1764]
1764,82 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[52, 53], Operations: ['53-22=31', '84-31=53']
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 52*53=2756, Resulting Numbers: [2756]
2756,82 unequal: No Solution
Exploring Operation: 52+53=105, Resulting Numbers: [105]
105,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[52, 115], Operations: ['53-22=31', '84+31=115']
Exploring Operation: 52+115=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 115-52=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Exploring Operation: 52*115=5980, Resulting Numbers: [5980]
5980,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[53, 84, 30], Operations: ['52-22=30']
Exploring Operation: 84+30=114, Resulting Numbers: [53, 114]
Generated Node #0,3,0: 82:[53, 114] Operation: 84+30=114
Exploring Operation: 53+30=83, Resulting Numbers: [84, 83]
Generated Node #0,3,1: 82:[84, 83] Operation: 53+30=83
Exploring Operation: 84-30=54, Resulting Numbers: [53, 54]
Generated Node #0,3,2: 82:[53, 54] Operation: 84-30=54
Exploring Operation: 53-30=23, Resulting Numbers: [84, 23]
Generated Node #0,3,3: 82:[84, 23] Operation: 53-30=23
Exploring Operation: 84-53=31, Resulting Numbers: [30, 31]
Generated Node #0,3,4: 82:[30, 31] Operation: 84-53=31
Moving to Node #0,3,1
Current State: 82:[84, 83], Operations: ['52-22=30', '53+30=83']
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 84*83=6972, Resulting Numbers: [6972]
6972,82 unequal: No Solution
Exploring Operation: 84+83=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[84, 23], Operations: ['52-22=30', '53-30=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,82 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[30, 31], Operations: ['52-22=30', '84-53=31']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,82 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[53, 54], Operations: ['52-22=30', '84-30=54']
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[53, 114], Operations: ['52-22=30', '84+30=114']
Exploring Operation: 53*114=6042, Resulting Numbers: [6042]
6042,82 unequal: No Solution
Exploring Operation: 114-53=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 53+114=167, Resulting Numbers: [167]
167,82 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 |
[
51,
97,
54,
62
] | 70 | [
"97-51=46",
"54+62=116",
"116-46=70"
] | Current State: 70:[51, 97, 54, 62], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [54, 62, 46]
Generated Node #2: [54, 62, 46] from Operation: 97-51=46
Current State: 70:[54, 62, 46], Operations: ['97-51=46']
Exploring Operation: 54+62=116, Resulting Numbers: [46, 116]
Generated Node #3: [46, 116] from Operation: 54+62=116
Current State: 70:[46, 116], Operations: ['97-51=46', '54+62=116']
Exploring Operation: 116-46=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[51, 97, 54, 62], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [54, 62, 46]
Generated Node #0,0: 70:[54, 62, 46] Operation: 97-51=46
Exploring Operation: 54-51=3, Resulting Numbers: [97, 62, 3]
Generated Node #0,1: 70:[97, 62, 3] Operation: 54-51=3
Exploring Operation: 97-54=43, Resulting Numbers: [51, 62, 43]
Generated Node #0,2: 70:[51, 62, 43] Operation: 97-54=43
Exploring Operation: 97-62=35, Resulting Numbers: [51, 54, 35]
Generated Node #0,3: 70:[51, 54, 35] Operation: 97-62=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[51, 62, 43], Operations: ['97-54=43']
Exploring Operation: 62-51=11, Resulting Numbers: [43, 11]
Generated Node #0,2,0: 70:[43, 11] Operation: 62-51=11
Exploring Operation: 51-43=8, Resulting Numbers: [62, 8]
Generated Node #0,2,1: 70:[62, 8] Operation: 51-43=8
Exploring Operation: 62-43=19, Resulting Numbers: [51, 19]
Generated Node #0,2,2: 70:[51, 19] Operation: 62-43=19
Exploring Operation: 51+43=94, Resulting Numbers: [62, 94]
Generated Node #0,2,3: 70:[62, 94] Operation: 51+43=94
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[43, 11], Operations: ['97-54=43', '62-51=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,70 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,70 unequal: No Solution
No 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: 70:[62, 8], Operations: ['97-54=43', '51-43=8']
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[51, 97, 54, 62], Operations: []
Exploring Operation: 97-54=43, Resulting Numbers: [51, 62, 43]
Generated Node #0,2: 70:[51, 62, 43] Operation: 97-54=43
Moving to Node #0,2
Current State: 70:[51, 62, 43], Operations: ['97-54=43']
Exploring Operation: 51-43=8, Resulting Numbers: [62, 8]
Generated Node #0,2,1: 70:[62, 8] Operation: 51-43=8
Moving to Node #0,2,1
Current State: 70:[62, 8], Operations: ['97-54=43', '51-43=8']
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
42,
30,
43,
28
] | 64 | [
"30-28=2",
"42/2=21",
"43+21=64"
] | Current State: 64:[42, 30, 43, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [42, 43, 2]
Generated Node #2: [42, 43, 2] from Operation: 30-28=2
Current State: 64:[42, 43, 2], Operations: ['30-28=2']
Exploring Operation: 42/2=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 42/2=21
Current State: 64:[43, 21], Operations: ['30-28=2', '42/2=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[42, 30, 43, 28], Operations: []
Exploring Operation: 43-42=1, Resulting Numbers: [30, 28, 1]
Generated Node #0,0: 64:[30, 28, 1] Operation: 43-42=1
Exploring Operation: 42-28=14, Resulting Numbers: [30, 43, 14]
Generated Node #0,1: 64:[30, 43, 14] Operation: 42-28=14
Exploring Operation: 43-28=15, Resulting Numbers: [42, 30, 15]
Generated Node #0,2: 64:[42, 30, 15] Operation: 43-28=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[30, 28, 1], Operations: ['43-42=1']
Exploring Operation: 30+1=31, Resulting Numbers: [28, 31]
Generated Node #0,0,0: 64:[28, 31] Operation: 30+1=31
Exploring Operation: 28+1=29, Resulting Numbers: [30, 29]
Generated Node #0,0,1: 64:[30, 29] Operation: 28+1=29
Exploring Operation: 30-28=2, Resulting Numbers: [1, 2]
Generated Node #0,0,2: 64:[1, 2] Operation: 30-28=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 64:[1, 2], Operations: ['43-42=1', '30-28=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[28, 31], Operations: ['43-42=1', '30+1=31']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,64 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[30, 29], Operations: ['43-42=1', '28+1=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[42, 30, 15], Operations: ['43-28=15']
Exploring Operation: 42-30=12, Resulting Numbers: [15, 12]
Generated Node #0,2,0: 64:[15, 12] Operation: 42-30=12
Exploring Operation: 42+30=72, Resulting Numbers: [15, 72]
Generated Node #0,2,1: 64:[15, 72] Operation: 42+30=72
Exploring Operation: 42-15=27, Resulting Numbers: [30, 27]
Generated Node #0,2,2: 64:[30, 27] Operation: 42-15=27
Moving to Node #0,2,0
Current State: 64:[15, 12], Operations: ['43-28=15', '42-30=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,64 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[30, 27], Operations: ['43-28=15', '42-15=27']
Exploring Operation: 30*27=810, Resulting Numbers: [810]
810,64 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[15, 72], Operations: ['43-28=15', '42+30=72']
Exploring Operation: 15*72=1080, Resulting Numbers: [1080]
1080,64 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 15+72=87, Resulting Numbers: [87]
87,64 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
Current State: 64:[30, 43, 14], Operations: ['42-28=14']
Exploring Operation: 43-30=13, Resulting Numbers: [14, 13]
Generated Node #0,1,0: 64:[14, 13] Operation: 43-30=13
Exploring Operation: 43-14=29, Resulting Numbers: [30, 29]
Generated Node #0,1,1: 64:[30, 29] Operation: 43-14=29
Exploring Operation: 43+14=57, Resulting Numbers: [30, 57]
Generated Node #0,1,2: 64:[30, 57] Operation: 43+14=57
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[14, 13], Operations: ['42-28=14', '43-30=13']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[30, 29], Operations: ['42-28=14', '43-14=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,64 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 64:[30, 57], Operations: ['42-28=14', '43+14=57']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 30+57=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 30*57=1710, Resulting Numbers: [1710]
1710,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
72,
65,
89,
58
] | 11 | [
"72-58=14",
"65+89=154",
"154/14=11"
] | Current State: 11:[72, 65, 89, 58], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [65, 89, 14]
Generated Node #2: [65, 89, 14] from Operation: 72-58=14
Current State: 11:[65, 89, 14], Operations: ['72-58=14']
Exploring Operation: 65+89=154, Resulting Numbers: [14, 154]
Generated Node #3: [14, 154] from Operation: 65+89=154
Current State: 11:[14, 154], Operations: ['72-58=14', '65+89=154']
Exploring Operation: 154/14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[72, 65, 89, 58], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [72, 58, 24]
Generated Node #0,0: 11:[72, 58, 24] Operation: 89-65=24
Exploring Operation: 72-58=14, Resulting Numbers: [65, 89, 14]
Generated Node #0,1: 11:[65, 89, 14] Operation: 72-58=14
Exploring Operation: 72-65=7, Resulting Numbers: [89, 58, 7]
Generated Node #0,2: 11:[89, 58, 7] Operation: 72-65=7
Exploring Operation: 89-72=17, Resulting Numbers: [65, 58, 17]
Generated Node #0,3: 11:[65, 58, 17] Operation: 89-72=17
Moving to Node #0,3
Current State: 11:[65, 58, 17], Operations: ['89-72=17']
Exploring Operation: 65+58=123, Resulting Numbers: [17, 123]
Generated Node #0,3,0: 11:[17, 123] Operation: 65+58=123
Exploring Operation: 65-58=7, Resulting Numbers: [17, 7]
Generated Node #0,3,1: 11:[17, 7] Operation: 65-58=7
Exploring Operation: 65-17=48, Resulting Numbers: [58, 48]
Generated Node #0,3,2: 11:[58, 48] Operation: 65-17=48
Exploring Operation: 58-17=41, Resulting Numbers: [65, 41]
Generated Node #0,3,3: 11:[65, 41] Operation: 58-17=41
Moving to Node #0,0
Current State: 11:[72, 58, 24], Operations: ['89-65=24']
Exploring Operation: 72-24=48, Resulting Numbers: [58, 48]
Generated Node #0,0,0: 11:[58, 48] Operation: 72-24=48
Exploring Operation: 72/24=3, Resulting Numbers: [58, 3]
Generated Node #0,0,1: 11:[58, 3] Operation: 72/24=3
Exploring Operation: 72-58=14, Resulting Numbers: [24, 14]
Generated Node #0,0,2: 11:[24, 14] Operation: 72-58=14
Exploring Operation: 58-24=34, Resulting Numbers: [72, 34]
Generated Node #0,0,3: 11:[72, 34] Operation: 58-24=34
Moving to Node #0,2
Current State: 11:[89, 58, 7], Operations: ['72-65=7']
Exploring Operation: 89+7=96, Resulting Numbers: [58, 96]
Generated Node #0,2,0: 11:[58, 96] Operation: 89+7=96
Exploring Operation: 89-58=31, Resulting Numbers: [7, 31]
Generated Node #0,2,1: 11:[7, 31] Operation: 89-58=31
Exploring Operation: 89-7=82, Resulting Numbers: [58, 82]
Generated Node #0,2,2: 11:[58, 82] Operation: 89-7=82
Exploring Operation: 58-7=51, Resulting Numbers: [89, 51]
Generated Node #0,2,3: 11:[89, 51] Operation: 58-7=51
Moving to Node #0,1
Current State: 11:[65, 89, 14], Operations: ['72-58=14']
Exploring Operation: 65-14=51, Resulting Numbers: [89, 51]
Generated Node #0,1,0: 11:[89, 51] Operation: 65-14=51
Exploring Operation: 89-14=75, Resulting Numbers: [65, 75]
Generated Node #0,1,1: 11:[65, 75] Operation: 89-14=75
Exploring Operation: 65+89=154, Resulting Numbers: [14, 154]
Generated Node #0,1,2: 11:[14, 154] Operation: 65+89=154
Exploring Operation: 89-65=24, Resulting Numbers: [14, 24]
Generated Node #0,1,3: 11:[14, 24] Operation: 89-65=24
Moving to Node #0,3,1
Current State: 11:[17, 7], Operations: ['89-72=17', '65-58=7']
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,11 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[14, 24], Operations: ['72-58=14', '89-65=24']
Exploring Operation: 14*24=336, Resulting Numbers: [336]
336,11 unequal: No Solution
Exploring Operation: 14+24=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[24, 14], Operations: ['89-65=24', '72-58=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[7, 31], Operations: ['72-65=7', '89-58=31']
Exploring Operation: 7*31=217, Resulting Numbers: [217]
217,11 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[58, 3], Operations: ['89-65=24', '72/24=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,11 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[58, 48], Operations: ['89-65=24', '72-24=48']
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,11 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[65, 41], Operations: ['89-72=17', '58-17=41']
Exploring Operation: 65*41=2665, Resulting Numbers: [2665]
2665,11 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 65+41=106, Resulting Numbers: [106]
106,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[58, 48], Operations: ['89-72=17', '65-17=48']
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,11 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[72, 34], Operations: ['89-65=24', '58-24=34']
Exploring Operation: 72*34=2448, Resulting Numbers: [2448]
2448,11 unequal: No Solution
Exploring Operation: 72+34=106, Resulting Numbers: [106]
106,11 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[89, 51], Operations: ['72-58=14', '65-14=51']
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,11 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[17, 123], Operations: ['89-72=17', '65+58=123']
Exploring Operation: 17*123=2091, Resulting Numbers: [2091]
2091,11 unequal: No Solution
Exploring Operation: 123-17=106, Resulting Numbers: [106]
106,11 unequal: No Solution
Exploring Operation: 17+123=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[89, 51], Operations: ['72-65=7', '58-7=51']
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 89*51=4539, Resulting Numbers: [4539]
4539,11 unequal: No Solution
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[58, 82], Operations: ['72-65=7', '89-7=82']
Exploring Operation: 58*82=4756, Resulting Numbers: [4756]
4756,11 unequal: No Solution
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 58+82=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[65, 75], Operations: ['72-58=14', '89-14=75']
Exploring Operation: 65+75=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 65*75=4875, Resulting Numbers: [4875]
4875,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[58, 96], Operations: ['72-65=7', '89+7=96']
Exploring Operation: 58*96=5568, Resulting Numbers: [5568]
5568,11 unequal: No Solution
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 58+96=154, Resulting Numbers: [154]
154,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[14, 154], Operations: ['72-58=14', '65+89=154']
Exploring Operation: 14*154=2156, Resulting Numbers: [2156]
2156,11 unequal: No Solution
Exploring Operation: 14+154=168, Resulting Numbers: [168]
168,11 unequal: No Solution
Exploring Operation: 154/14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[72, 65, 89, 58], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [65, 89, 14]
Generated Node #0,1: 11:[65, 89, 14] Operation: 72-58=14
Moving to Node #0,1
Current State: 11:[65, 89, 14], Operations: ['72-58=14']
Exploring Operation: 65+89=154, Resulting Numbers: [14, 154]
Generated Node #0,1,2: 11:[14, 154] Operation: 65+89=154
Moving to Node #0,1,2
Current State: 11:[14, 154], Operations: ['72-58=14', '65+89=154']
Exploring Operation: 154/14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.9375 | hs_4 | mult_heuristic |
[
3,
44,
51,
27
] | 46 | [
"3+51=54",
"54/27=2",
"44+2=46"
] | Current State: 46:[3, 44, 51, 27], Operations: []
Exploring Operation: 3+51=54, Resulting Numbers: [44, 27, 54]
Generated Node #2: [44, 27, 54] from Operation: 3+51=54
Current State: 46:[44, 27, 54], Operations: ['3+51=54']
Exploring Operation: 54/27=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 54/27=2
Current State: 46:[44, 2], Operations: ['3+51=54', '54/27=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[3, 44, 51, 27], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [3, 44, 24]
Generated Node #0,0: 46:[3, 44, 24] Operation: 51-27=24
Exploring Operation: 51-3=48, Resulting Numbers: [44, 27, 48]
Generated Node #0,1: 46:[44, 27, 48] Operation: 51-3=48
Exploring Operation: 3+44=47, Resulting Numbers: [51, 27, 47]
Generated Node #0,2: 46:[51, 27, 47] Operation: 3+44=47
Exploring Operation: 27-3=24, Resulting Numbers: [44, 51, 24]
Generated Node #0,3: 46:[44, 51, 24] Operation: 27-3=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[3, 44, 24], Operations: ['51-27=24']
Exploring Operation: 24-3=21, Resulting Numbers: [44, 21]
Generated Node #0,0,0: 46:[44, 21] Operation: 24-3=21
Exploring Operation: 44-3=41, Resulting Numbers: [24, 41]
Generated Node #0,0,1: 46:[24, 41] Operation: 44-3=41
Exploring Operation: 44-24=20, Resulting Numbers: [3, 20]
Generated Node #0,0,2: 46:[3, 20] Operation: 44-24=20
Exploring Operation: 3+44=47, Resulting Numbers: [24, 47]
Generated Node #0,0,3: 46:[24, 47] Operation: 3+44=47
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 46:[24, 47], Operations: ['51-27=24', '3+44=47']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,46 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,46 unequal: No Solution
No 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: 46:[44, 21], Operations: ['51-27=24', '24-3=21']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 44*21=924, Resulting Numbers: [924]
924,46 unequal: No Solution
No 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: 46:[3, 20], Operations: ['51-27=24', '44-24=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No 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: 46:[24, 41], Operations: ['51-27=24', '44-3=41']
Exploring Operation: 24*41=984, Resulting Numbers: [984]
984,46 unequal: No Solution
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 24+41=65, Resulting Numbers: [65]
65,46 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: 46:[44, 27, 48], Operations: ['51-3=48']
Exploring Operation: 48-27=21, Resulting Numbers: [44, 21]
Generated Node #0,1,0: 46:[44, 21] Operation: 48-27=21
Exploring Operation: 44+27=71, Resulting Numbers: [48, 71]
Generated Node #0,1,1: 46:[48, 71] Operation: 44+27=71
Exploring Operation: 44-27=17, Resulting Numbers: [48, 17]
Generated Node #0,1,2: 46:[48, 17] Operation: 44-27=17
Exploring Operation: 48-44=4, Resulting Numbers: [27, 4]
Generated Node #0,1,3: 46:[27, 4] Operation: 48-44=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[44, 21], Operations: ['51-3=48', '48-27=21']
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 44*21=924, Resulting Numbers: [924]
924,46 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No 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: 46:[27, 4], Operations: ['51-3=48', '48-44=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,46 unequal: No Solution
No 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: 46:[48, 17], Operations: ['51-3=48', '44-27=17']
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,46 unequal: No Solution
No 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: 46:[48, 71], Operations: ['51-3=48', '44+27=71']
Exploring Operation: 48+71=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 48*71=3408, Resulting Numbers: [3408]
3408,46 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: 46:[44, 51, 24], Operations: ['27-3=24']
Exploring Operation: 44+24=68, Resulting Numbers: [51, 68]
Generated Node #0,3,0: 46:[51, 68] Operation: 44+24=68
Exploring Operation: 44-24=20, Resulting Numbers: [51, 20]
Generated Node #0,3,1: 46:[51, 20] Operation: 44-24=20
Exploring Operation: 51-44=7, Resulting Numbers: [24, 7]
Generated Node #0,3,2: 46:[24, 7] Operation: 51-44=7
Exploring Operation: 51-24=27, Resulting Numbers: [44, 27]
Generated Node #0,3,3: 46:[44, 27] Operation: 51-24=27
Moving to Node #0,3,2
Current State: 46:[24, 7], Operations: ['27-3=24', '51-44=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[44, 27], Operations: ['27-3=24', '51-24=27']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,46 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[51, 20], Operations: ['27-3=24', '44-24=20']
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,46 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[51, 68], Operations: ['27-3=24', '44+24=68']
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 51*68=3468, Resulting Numbers: [3468]
3468,46 unequal: No Solution
Exploring Operation: 51+68=119, Resulting Numbers: [119]
119,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[51, 27, 47], Operations: ['3+44=47']
Exploring Operation: 47-27=20, Resulting Numbers: [51, 20]
Generated Node #0,2,0: 46:[51, 20] Operation: 47-27=20
Exploring Operation: 51-47=4, Resulting Numbers: [27, 4]
Generated Node #0,2,1: 46:[27, 4] Operation: 51-47=4
Exploring Operation: 51-27=24, Resulting Numbers: [47, 24]
Generated Node #0,2,2: 46:[47, 24] Operation: 51-27=24
Exploring Operation: 51+27=78, Resulting Numbers: [47, 78]
Generated Node #0,2,3: 46:[47, 78] Operation: 51+27=78
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[47, 24], Operations: ['3+44=47', '51-27=24']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 47*24=1128, Resulting Numbers: [1128]
1128,46 unequal: No Solution
No 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: 46:[27, 4], Operations: ['3+44=47', '51-47=4']
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,46 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No 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: 46:[51, 20], Operations: ['3+44=47', '47-27=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,46 unequal: No Solution
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,46 unequal: No Solution
No 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: 46:[47, 78], Operations: ['3+44=47', '51+27=78']
Exploring Operation: 47*78=3666, Resulting Numbers: [3666]
3666,46 unequal: No Solution
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 47+78=125, Resulting Numbers: [125]
125,46 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 |
[
32,
20,
1,
61
] | 49 | [
"32-20=12",
"1*61=61",
"61-12=49"
] | Current State: 49:[32, 20, 1, 61], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [1, 61, 12]
Generated Node #2: [1, 61, 12] from Operation: 32-20=12
Current State: 49:[1, 61, 12], Operations: ['32-20=12']
Exploring Operation: 1*61=61, Resulting Numbers: [12, 61]
Generated Node #3: [12, 61] from Operation: 1*61=61
Current State: 49:[12, 61], Operations: ['32-20=12', '1*61=61']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[32, 20, 1, 61], Operations: []
Exploring Operation: 32+20=52, Resulting Numbers: [1, 61, 52]
Generated Node #0,0: 49:[1, 61, 52] Operation: 32+20=52
Exploring Operation: 32-20=12, Resulting Numbers: [1, 61, 12]
Generated Node #0,1: 49:[1, 61, 12] Operation: 32-20=12
Moving to Node #0,0
Current State: 49:[1, 61, 52], Operations: ['32+20=52']
Exploring Operation: 61-1=60, Resulting Numbers: [52, 60]
Generated Node #0,0,0: 49:[52, 60] Operation: 61-1=60
Exploring Operation: 61-52=9, Resulting Numbers: [1, 9]
Generated Node #0,0,1: 49:[1, 9] Operation: 61-52=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[1, 9], Operations: ['32+20=52', '61-52=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[52, 60], Operations: ['32+20=52', '61-1=60']
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 49:[1, 61, 12], Operations: ['32-20=12']
Exploring Operation: 61-1=60, Resulting Numbers: [12, 60]
Generated Node #0,1,0: 49:[12, 60] Operation: 61-1=60
Exploring Operation: 61-12=49, Resulting Numbers: [1, 49]
Generated Node #0,1,1: 49:[1, 49] Operation: 61-12=49
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[1, 49], Operations: ['32-20=12', '61-12=49']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[32, 20, 1, 61], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [1, 61, 12]
Generated Node #0,1: 49:[1, 61, 12] Operation: 32-20=12
Moving to Node #0,1
Current State: 49:[1, 61, 12], Operations: ['32-20=12']
Exploring Operation: 61-12=49, Resulting Numbers: [1, 49]
Generated Node #0,1,1: 49:[1, 49] Operation: 61-12=49
Moving to Node #0,1,1
Current State: 49:[1, 49], Operations: ['32-20=12', '61-12=49']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
68,
2,
62,
59
] | 15 | [
"68*2=136",
"62+59=121",
"136-121=15"
] | Current State: 15:[68, 2, 62, 59], Operations: []
Exploring Operation: 68*2=136, Resulting Numbers: [62, 59, 136]
Generated Node #2: [62, 59, 136] from Operation: 68*2=136
Current State: 15:[62, 59, 136], Operations: ['68*2=136']
Exploring Operation: 62+59=121, Resulting Numbers: [136, 121]
Generated Node #3: [136, 121] from Operation: 62+59=121
Current State: 15:[136, 121], Operations: ['68*2=136', '62+59=121']
Exploring Operation: 136-121=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[68, 2, 62, 59], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [2, 59, 6]
Generated Node #0,0: 15:[2, 59, 6] Operation: 68-62=6
Exploring Operation: 62-59=3, Resulting Numbers: [68, 2, 3]
Generated Node #0,1: 15:[68, 2, 3] Operation: 62-59=3
Exploring Operation: 68-59=9, Resulting Numbers: [2, 62, 9]
Generated Node #0,2: 15:[2, 62, 9] Operation: 68-59=9
Moving to Node #0,0
Current State: 15:[2, 59, 6], Operations: ['68-62=6']
Exploring Operation: 6/2=3, Resulting Numbers: [59, 3]
Generated Node #0,0,0: 15:[59, 3] Operation: 6/2=3
Exploring Operation: 59-2=57, Resulting Numbers: [6, 57]
Generated Node #0,0,1: 15:[6, 57] Operation: 59-2=57
Exploring Operation: 59-6=53, Resulting Numbers: [2, 53]
Generated Node #0,0,2: 15:[2, 53] Operation: 59-6=53
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[2, 53], Operations: ['68-62=6', '59-6=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,15 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[6, 57], Operations: ['68-62=6', '59-2=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 6*57=342, Resulting Numbers: [342]
342,15 unequal: No Solution
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[59, 3], Operations: ['68-62=6', '6/2=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 15:[2, 62, 9], Operations: ['68-59=9']
Exploring Operation: 62-2=60, Resulting Numbers: [9, 60]
Generated Node #0,2,0: 15:[9, 60] Operation: 62-2=60
Exploring Operation: 62-9=53, Resulting Numbers: [2, 53]
Generated Node #0,2,1: 15:[2, 53] Operation: 62-9=53
Exploring Operation: 62/2=31, Resulting Numbers: [9, 31]
Generated Node #0,2,2: 15:[9, 31] Operation: 62/2=31
Moving to Node #0,1
Current State: 15:[68, 2, 3], Operations: ['62-59=3']
Exploring Operation: 68-2=66, Resulting Numbers: [3, 66]
Generated Node #0,1,0: 15:[3, 66] Operation: 68-2=66
Exploring Operation: 68-3=65, Resulting Numbers: [2, 65]
Generated Node #0,1,1: 15:[2, 65] Operation: 68-3=65
Exploring Operation: 68/2=34, Resulting Numbers: [3, 34]
Generated Node #0,1,2: 15:[3, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[3, 34], Operations: ['62-59=3', '68/2=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,15 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[3, 66], Operations: ['62-59=3', '68-2=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,15 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[2, 65], Operations: ['62-59=3', '68-3=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,15 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 15:[9, 31], Operations: ['68-59=9', '62/2=31']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,15 unequal: No Solution
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[2, 53], Operations: ['68-59=9', '62-9=53']
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,15 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,15 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[9, 60], Operations: ['68-59=9', '62-2=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,15 unequal: No Solution
Exploring Operation: 9*60=540, Resulting Numbers: [540]
540,15 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
85,
1,
74,
92
] | 67 | [
"85*1=85",
"92-74=18",
"85-18=67"
] | Current State: 67:[85, 1, 74, 92], Operations: []
Exploring Operation: 85*1=85, Resulting Numbers: [74, 92, 85]
Generated Node #2: [74, 92, 85] from Operation: 85*1=85
Current State: 67:[74, 92, 85], Operations: ['85*1=85']
Exploring Operation: 92-74=18, Resulting Numbers: [85, 18]
Generated Node #3: [85, 18] from Operation: 92-74=18
Current State: 67:[85, 18], Operations: ['85*1=85', '92-74=18']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[85, 1, 74, 92], Operations: []
Exploring Operation: 85-1=84, Resulting Numbers: [74, 92, 84]
Generated Node #0,0: 67:[74, 92, 84] Operation: 85-1=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[74, 92, 84], Operations: ['85-1=84']
Exploring Operation: 92-74=18, Resulting Numbers: [84, 18]
Generated Node #0,0,0: 67:[84, 18] Operation: 92-74=18
Moving to Node #0,0,0
Current State: 67:[84, 18], Operations: ['85-1=84', '92-74=18']
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
27,
27,
20,
83
] | 49 | [
"27+27=54",
"20+83=103",
"103-54=49"
] | Current State: 49:[27, 27, 20, 83], Operations: []
Exploring Operation: 27+27=54, Resulting Numbers: [20, 83, 54]
Generated Node #2: [20, 83, 54] from Operation: 27+27=54
Current State: 49:[20, 83, 54], Operations: ['27+27=54']
Exploring Operation: 20+83=103, Resulting Numbers: [54, 103]
Generated Node #3: [54, 103] from Operation: 20+83=103
Current State: 49:[54, 103], Operations: ['27+27=54', '20+83=103']
Exploring Operation: 103-54=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[27, 27, 20, 83], Operations: []
Exploring Operation: 27+27=54, Resulting Numbers: [20, 83, 54]
Generated Node #0,0: 49:[20, 83, 54] Operation: 27+27=54
Exploring Operation: 83-27=56, Resulting Numbers: [27, 20, 56]
Generated Node #0,1: 49:[27, 20, 56] Operation: 83-27=56
Exploring Operation: 27/27=1, Resulting Numbers: [20, 83, 1]
Generated Node #0,2: 49:[20, 83, 1] Operation: 27/27=1
Exploring Operation: 83-27=56, Resulting Numbers: [27, 20, 56]
Generated Node #0,3: 49:[27, 20, 56] Operation: 83-27=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[27, 20, 56], Operations: ['83-27=56']
Exploring Operation: 56-20=36, Resulting Numbers: [27, 36]
Generated Node #0,1,0: 49:[27, 36] Operation: 56-20=36
Exploring Operation: 27-20=7, Resulting Numbers: [56, 7]
Generated Node #0,1,1: 49:[56, 7] Operation: 27-20=7
Exploring Operation: 27+20=47, Resulting Numbers: [56, 47]
Generated Node #0,1,2: 49:[56, 47] Operation: 27+20=47
Exploring Operation: 56-27=29, Resulting Numbers: [20, 29]
Generated Node #0,1,3: 49:[20, 29] Operation: 56-27=29
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[56, 7], Operations: ['83-27=56', '27-20=7']
Exploring Operation: 56*7=392, Resulting Numbers: [392]
392,49 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[27, 27, 20, 83], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [27, 20, 56]
Generated Node #0,1: 49:[27, 20, 56] Operation: 83-27=56
Moving to Node #0,1
Current State: 49:[27, 20, 56], Operations: ['83-27=56']
Exploring Operation: 27-20=7, Resulting Numbers: [56, 7]
Generated Node #0,1,1: 49:[56, 7] Operation: 27-20=7
Moving to Node #0,1,1
Current State: 49:[56, 7], Operations: ['83-27=56', '27-20=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
47,
3,
91,
70
] | 62 | [
"91-47=44",
"3*44=132",
"132-70=62"
] | Current State: 62:[47, 3, 91, 70], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [3, 70, 44]
Generated Node #2: [3, 70, 44] from Operation: 91-47=44
Current State: 62:[3, 70, 44], Operations: ['91-47=44']
Exploring Operation: 3*44=132, Resulting Numbers: [70, 132]
Generated Node #3: [70, 132] from Operation: 3*44=132
Current State: 62:[70, 132], Operations: ['91-47=44', '3*44=132']
Exploring Operation: 132-70=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[47, 3, 91, 70], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [3, 70, 44]
Generated Node #0,0: 62:[3, 70, 44] Operation: 91-47=44
Moving to Node #0,0
Current State: 62:[3, 70, 44], Operations: ['91-47=44']
Exploring Operation: 70-44=26, Resulting Numbers: [3, 26]
Generated Node #0,0,0: 62:[3, 26] Operation: 70-44=26
Moving to Node #0,0,0
Current State: 62:[3, 26], Operations: ['91-47=44', '70-44=26']
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,62 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
32,
94,
24,
67
] | 83 | [
"32+94=126",
"67-24=43",
"126-43=83"
] | Current State: 83:[32, 94, 24, 67], Operations: []
Exploring Operation: 32+94=126, Resulting Numbers: [24, 67, 126]
Generated Node #2: [24, 67, 126] from Operation: 32+94=126
Current State: 83:[24, 67, 126], Operations: ['32+94=126']
Exploring Operation: 67-24=43, Resulting Numbers: [126, 43]
Generated Node #3: [126, 43] from Operation: 67-24=43
Current State: 83:[126, 43], Operations: ['32+94=126', '67-24=43']
Exploring Operation: 126-43=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[32, 94, 24, 67], Operations: []
Exploring Operation: 24+67=91, Resulting Numbers: [32, 94, 91]
Generated Node #0,0: 83:[32, 94, 91] Operation: 24+67=91
Exploring Operation: 32+24=56, Resulting Numbers: [94, 67, 56]
Generated Node #0,1: 83:[94, 67, 56] Operation: 32+24=56
Exploring Operation: 94-24=70, Resulting Numbers: [32, 67, 70]
Generated Node #0,2: 83:[32, 67, 70] Operation: 94-24=70
Moving to Node #0,1
Current State: 83:[94, 67, 56], Operations: ['32+24=56']
Exploring Operation: 67+56=123, Resulting Numbers: [94, 123]
Generated Node #0,1,0: 83:[94, 123] Operation: 67+56=123
Exploring Operation: 94-67=27, Resulting Numbers: [56, 27]
Generated Node #0,1,1: 83:[56, 27] Operation: 94-67=27
Exploring Operation: 94-56=38, Resulting Numbers: [67, 38]
Generated Node #0,1,2: 83:[67, 38] Operation: 94-56=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[94, 123], Operations: ['32+24=56', '67+56=123']
Exploring Operation: 94*123=11562, Resulting Numbers: [11562]
11562,83 unequal: No Solution
Exploring Operation: 94+123=217, Resulting Numbers: [217]
217,83 unequal: No Solution
Exploring Operation: 123-94=29, Resulting Numbers: [29]
29,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[67, 38], Operations: ['32+24=56', '94-56=38']
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 67*38=2546, Resulting Numbers: [2546]
2546,83 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,83 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:[56, 27], Operations: ['32+24=56', '94-67=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,83 unequal: No Solution
Exploring Operation: 56*27=1512, Resulting Numbers: [1512]
1512,83 unequal: No Solution
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[32, 94, 24, 67], Operations: []
Exploring Operation: 32+24=56, Resulting Numbers: [94, 67, 56]
Generated Node #0,1: 83:[94, 67, 56] Operation: 32+24=56
Moving to Node #0,1
Current State: 83:[94, 67, 56], Operations: ['32+24=56']
Exploring Operation: 94-67=27, Resulting Numbers: [56, 27]
Generated Node #0,1,1: 83:[56, 27] Operation: 94-67=27
Moving to Node #0,1,1
Current State: 83:[56, 27], Operations: ['32+24=56', '94-67=27']
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
5,
18,
92,
54
] | 25 | [
"18-5=13",
"92-54=38",
"38-13=25"
] | Current State: 25:[5, 18, 92, 54], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [92, 54, 13]
Generated Node #2: [92, 54, 13] from Operation: 18-5=13
Current State: 25:[92, 54, 13], Operations: ['18-5=13']
Exploring Operation: 92-54=38, Resulting Numbers: [13, 38]
Generated Node #3: [13, 38] from Operation: 92-54=38
Current State: 25:[13, 38], Operations: ['18-5=13', '92-54=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[5, 18, 92, 54], Operations: []
Exploring Operation: 92-54=38, Resulting Numbers: [5, 18, 38]
Generated Node #0,0: 25:[5, 18, 38] Operation: 92-54=38
Moving to Node #0,0
Current State: 25:[5, 18, 38], Operations: ['92-54=38']
Exploring Operation: 38-18=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 25:[5, 20] Operation: 38-18=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[5, 20], Operations: ['92-54=38', '38-18=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[5, 18, 92, 54], Operations: []
Exploring Operation: 92-54=38, Resulting Numbers: [5, 18, 38]
Generated Node #0,0: 25:[5, 18, 38] Operation: 92-54=38
Moving to Node #0,0
Current State: 25:[5, 18, 38], Operations: ['92-54=38']
Exploring Operation: 38-18=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 25:[5, 20] Operation: 38-18=20
Moving to Node #0,0,0
Current State: 25:[5, 20], Operations: ['92-54=38', '38-18=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
54,
76,
53,
15
] | 90 | [
"76-54=22",
"53+15=68",
"22+68=90"
] | Current State: 90:[54, 76, 53, 15], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [53, 15, 22]
Generated Node #2: [53, 15, 22] from Operation: 76-54=22
Current State: 90:[53, 15, 22], Operations: ['76-54=22']
Exploring Operation: 53+15=68, Resulting Numbers: [22, 68]
Generated Node #3: [22, 68] from Operation: 53+15=68
Current State: 90:[22, 68], Operations: ['76-54=22', '53+15=68']
Exploring Operation: 22+68=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[54, 76, 53, 15], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [53, 15, 22]
Generated Node #0,0: 90:[53, 15, 22] Operation: 76-54=22
Moving to Node #0,0
Current State: 90:[53, 15, 22], Operations: ['76-54=22']
Exploring Operation: 53-22=31, Resulting Numbers: [15, 31]
Generated Node #0,0,0: 90:[15, 31] Operation: 53-22=31
Moving to Node #0,0,0
Current State: 90:[15, 31], Operations: ['76-54=22', '53-22=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,90 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
85,
14,
25,
8
] | 66 | [
"85+14=99",
"25+8=33",
"99-33=66"
] | Current State: 66:[85, 14, 25, 8], Operations: []
Exploring Operation: 85+14=99, Resulting Numbers: [25, 8, 99]
Generated Node #2: [25, 8, 99] from Operation: 85+14=99
Current State: 66:[25, 8, 99], Operations: ['85+14=99']
Exploring Operation: 25+8=33, Resulting Numbers: [99, 33]
Generated Node #3: [99, 33] from Operation: 25+8=33
Current State: 66:[99, 33], Operations: ['85+14=99', '25+8=33']
Exploring Operation: 99-33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[85, 14, 25, 8], Operations: []
Exploring Operation: 85-14=71, Resulting Numbers: [25, 8, 71]
Generated Node #0,0: 66:[25, 8, 71] Operation: 85-14=71
Exploring Operation: 85-8=77, Resulting Numbers: [14, 25, 77]
Generated Node #0,1: 66:[14, 25, 77] Operation: 85-8=77
Exploring Operation: 25-14=11, Resulting Numbers: [85, 8, 11]
Generated Node #0,2: 66:[85, 8, 11] Operation: 25-14=11
Exploring Operation: 85-25=60, Resulting Numbers: [14, 8, 60]
Generated Node #0,3: 66:[14, 8, 60] Operation: 85-25=60
Exploring Operation: 14+8=22, Resulting Numbers: [85, 25, 22]
Generated Node #0,4: 66:[85, 25, 22] Operation: 14+8=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[25, 8, 71], Operations: ['85-14=71']
Exploring Operation: 25+8=33, Resulting Numbers: [71, 33]
Generated Node #0,0,0: 66:[71, 33] Operation: 25+8=33
Exploring Operation: 71-25=46, Resulting Numbers: [8, 46]
Generated Node #0,0,1: 66:[8, 46] Operation: 71-25=46
Exploring Operation: 71-8=63, Resulting Numbers: [25, 63]
Generated Node #0,0,2: 66:[25, 63] Operation: 71-8=63
Exploring Operation: 8+71=79, Resulting Numbers: [25, 79]
Generated Node #0,0,3: 66:[25, 79] Operation: 8+71=79
Exploring Operation: 25-8=17, Resulting Numbers: [71, 17]
Generated Node #0,0,4: 66:[71, 17] Operation: 25-8=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[71, 33], Operations: ['85-14=71', '25+8=33']
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,66 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,66 unequal: No Solution
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[25, 63], Operations: ['85-14=71', '71-8=63']
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,66 unequal: No Solution
Exploring Operation: 25*63=1575, Resulting Numbers: [1575]
1575,66 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 66:[71, 17], Operations: ['85-14=71', '25-8=17']
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,66 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[8, 46], Operations: ['85-14=71', '71-25=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,66 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 66:[25, 79], Operations: ['85-14=71', '8+71=79']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 25+79=104, Resulting Numbers: [104]
104,66 unequal: No Solution
Exploring Operation: 25*79=1975, Resulting Numbers: [1975]
1975,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[14, 8, 60], Operations: ['85-25=60']
Exploring Operation: 14+60=74, Resulting Numbers: [8, 74]
Generated Node #0,3,0: 66:[8, 74] Operation: 14+60=74
Exploring Operation: 14+8=22, Resulting Numbers: [60, 22]
Generated Node #0,3,1: 66:[60, 22] Operation: 14+8=22
Exploring Operation: 14-8=6, Resulting Numbers: [60, 6]
Generated Node #0,3,2: 66:[60, 6] Operation: 14-8=6
Exploring Operation: 60-14=46, Resulting Numbers: [8, 46]
Generated Node #0,3,3: 66:[8, 46] Operation: 60-14=46
Exploring Operation: 8+60=68, Resulting Numbers: [14, 68]
Generated Node #0,3,4: 66:[14, 68] Operation: 8+60=68
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 66:[14, 68], Operations: ['85-25=60', '8+60=68']
Exploring Operation: 14*68=952, Resulting Numbers: [952]
952,66 unequal: No Solution
Exploring Operation: 14+68=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 66:[60, 22], Operations: ['85-25=60', '14+8=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,66 unequal: No Solution
Exploring Operation: 60*22=1320, Resulting Numbers: [1320]
1320,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 66:[60, 6], Operations: ['85-25=60', '14-8=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,66 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[85, 14, 25, 8], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [14, 8, 60]
Generated Node #0,3: 66:[14, 8, 60] Operation: 85-25=60
Moving to Node #0,3
Current State: 66:[14, 8, 60], Operations: ['85-25=60']
Exploring Operation: 14-8=6, Resulting Numbers: [60, 6]
Generated Node #0,3,2: 66:[60, 6] Operation: 14-8=6
Moving to Node #0,3,2
Current State: 66:[60, 6], Operations: ['85-25=60', '14-8=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.961806 | hs_5 | mult_heuristic |
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