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 |
|---|---|---|---|---|---|---|---|---|
[
22,
27,
62,
51
] | 38 | [
"22+27=49",
"62-51=11",
"49-11=38"
] | Current State: 38:[22, 27, 62, 51], Operations: []
Exploring Operation: 22+27=49, Resulting Numbers: [62, 51, 49]
Generated Node #2: [62, 51, 49] from Operation: 22+27=49
Current State: 38:[62, 51, 49], Operations: ['22+27=49']
Exploring Operation: 62-51=11, Resulting Numbers: [49, 11]
Generated Node #3: [49, 11] from Operation: 62-51=11
Current State: 38:[49, 11], Operations: ['22+27=49', '62-51=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[22, 27, 62, 51], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [22, 27, 11]
Generated Node #0,0: 38:[22, 27, 11] Operation: 62-51=11
Exploring Operation: 27-22=5, Resulting Numbers: [62, 51, 5]
Generated Node #0,1: 38:[62, 51, 5] Operation: 27-22=5
Exploring Operation: 62-22=40, Resulting Numbers: [27, 51, 40]
Generated Node #0,2: 38:[27, 51, 40] Operation: 62-22=40
Exploring Operation: 62-27=35, Resulting Numbers: [22, 51, 35]
Generated Node #0,3: 38:[22, 51, 35] Operation: 62-27=35
Exploring Operation: 51-27=24, Resulting Numbers: [22, 62, 24]
Generated Node #0,4: 38:[22, 62, 24] Operation: 51-27=24
Moving to Node #0,0
Current State: 38:[22, 27, 11], Operations: ['62-51=11']
Exploring Operation: 22+11=33, Resulting Numbers: [27, 33]
Generated Node #0,0,0: 38:[27, 33] Operation: 22+11=33
Exploring Operation: 27-22=5, Resulting Numbers: [11, 5]
Generated Node #0,0,1: 38:[11, 5] Operation: 27-22=5
Exploring Operation: 22/11=2, Resulting Numbers: [27, 2]
Generated Node #0,0,2: 38:[27, 2] Operation: 22/11=2
Exploring Operation: 27-11=16, Resulting Numbers: [22, 16]
Generated Node #0,0,3: 38:[22, 16] Operation: 27-11=16
Exploring Operation: 27+11=38, Resulting Numbers: [22, 38]
Generated Node #0,0,4: 38:[22, 38] Operation: 27+11=38
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 38:[22, 38], Operations: ['62-51=11', '27+11=38']
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,38 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 38:[22, 16], Operations: ['62-51=11', '27-11=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[22, 27, 62, 51], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [22, 27, 11]
Generated Node #0,0: 38:[22, 27, 11] Operation: 62-51=11
Moving to Node #0,0
Current State: 38:[22, 27, 11], Operations: ['62-51=11']
Exploring Operation: 27-11=16, Resulting Numbers: [22, 16]
Generated Node #0,0,3: 38:[22, 16] Operation: 27-11=16
Moving to Node #0,0,3
Current State: 38:[22, 16], Operations: ['62-51=11', '27-11=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
12,
26,
12,
55
] | 53 | [
"26-12=14",
"12+55=67",
"67-14=53"
] | Current State: 53:[12, 26, 12, 55], Operations: []
Exploring Operation: 26-12=14, Resulting Numbers: [55, 14]
Generated Node #2: [55, 14] from Operation: 26-12=14
Current State: 53:[55, 14], Operations: ['26-12=14']
Exploring Operation: 12+55=67, Resulting Numbers: [14, 67]
Generated Node #3: [14, 67] from Operation: 12+55=67
Current State: 53:[14, 67], Operations: ['26-12=14', '12+55=67']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[12, 26, 12, 55], Operations: []
Exploring Operation: 12+26=38, Resulting Numbers: [12, 55, 38]
Generated Node #0,0: 53:[12, 55, 38] Operation: 12+26=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[12, 55, 38], Operations: ['12+26=38']
Exploring Operation: 12+38=50, Resulting Numbers: [55, 50]
Generated Node #0,0,0: 53:[55, 50] Operation: 12+38=50
Moving to Node #0,0,0
Current State: 53:[55, 50], Operations: ['12+26=38', '12+38=50']
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,53 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 |
[
57,
38,
60,
15
] | 94 | [
"57-38=19",
"60+15=75",
"19+75=94"
] | Current State: 94:[57, 38, 60, 15], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [60, 15, 19]
Generated Node #2: [60, 15, 19] from Operation: 57-38=19
Current State: 94:[60, 15, 19], Operations: ['57-38=19']
Exploring Operation: 60+15=75, Resulting Numbers: [19, 75]
Generated Node #3: [19, 75] from Operation: 60+15=75
Current State: 94:[19, 75], Operations: ['57-38=19', '60+15=75']
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[57, 38, 60, 15], Operations: []
Exploring Operation: 60-15=45, Resulting Numbers: [57, 38, 45]
Generated Node #0,0: 94:[57, 38, 45] Operation: 60-15=45
Exploring Operation: 60/15=4, Resulting Numbers: [57, 38, 4]
Generated Node #0,1: 94:[57, 38, 4] Operation: 60/15=4
Moving to Node #0,0
Current State: 94:[57, 38, 45], Operations: ['60-15=45']
Exploring Operation: 45-38=7, Resulting Numbers: [57, 7]
Generated Node #0,0,0: 94:[57, 7] Operation: 45-38=7
Exploring Operation: 57+38=95, Resulting Numbers: [45, 95]
Generated Node #0,0,1: 94:[45, 95] Operation: 57+38=95
Moving to Node #0,1
Current State: 94:[57, 38, 4], Operations: ['60/15=4']
Exploring Operation: 57+38=95, Resulting Numbers: [4, 95]
Generated Node #0,1,0: 94:[4, 95] Operation: 57+38=95
Exploring Operation: 57-4=53, Resulting Numbers: [38, 53]
Generated Node #0,1,1: 94:[38, 53] Operation: 57-4=53
Moving to Node #0,0,1
Current State: 94:[45, 95], Operations: ['60-15=45', '57+38=95']
Exploring Operation: 45+95=140, Resulting Numbers: [140]
140,94 unequal: No Solution
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[4, 95], Operations: ['60/15=4', '57+38=95']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[57, 7], Operations: ['60-15=45', '45-38=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[38, 53], Operations: ['60/15=4', '57-4=53']
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,94 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
60,
20,
10,
68
] | 31 | [
"10*68=680",
"680-60=620",
"620/20=31"
] | Current State: 31:[60, 20, 10, 68], Operations: []
Exploring Operation: 10*68=680, Resulting Numbers: [60, 20, 680]
Generated Node #2: [60, 20, 680] from Operation: 10*68=680
Current State: 31:[60, 20, 680], Operations: ['10*68=680']
Exploring Operation: 680-60=620, Resulting Numbers: [20, 620]
Generated Node #3: [20, 620] from Operation: 680-60=620
Current State: 31:[20, 620], Operations: ['10*68=680', '680-60=620']
Exploring Operation: 620/20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[60, 20, 10, 68], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [10, 68, 40]
Generated Node #0,0: 31:[10, 68, 40] Operation: 60-20=40
Exploring Operation: 68-60=8, Resulting Numbers: [20, 10, 8]
Generated Node #0,1: 31:[20, 10, 8] Operation: 68-60=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[20, 10, 8], Operations: ['68-60=8']
Exploring Operation: 20+8=28, Resulting Numbers: [10, 28]
Generated Node #0,1,0: 31:[10, 28] Operation: 20+8=28
Exploring Operation: 20+10=30, Resulting Numbers: [8, 30]
Generated Node #0,1,1: 31:[8, 30] Operation: 20+10=30
Moving to Node #0,1,0
Current State: 31:[10, 28], Operations: ['68-60=8', '20+8=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,31 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[8, 30], Operations: ['68-60=8', '20+10=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,31 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 #0,0
Current State: 31:[10, 68, 40], Operations: ['60-20=40']
Exploring Operation: 68-10=58, Resulting Numbers: [40, 58]
Generated Node #0,0,0: 31:[40, 58] Operation: 68-10=58
Exploring Operation: 68-40=28, Resulting Numbers: [10, 28]
Generated Node #0,0,1: 31:[10, 28] Operation: 68-40=28
Moving to Node #0,0,1
Current State: 31:[10, 28], Operations: ['60-20=40', '68-40=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,31 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[40, 58], Operations: ['60-20=40', '68-10=58']
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,31 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,31 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 |
[
50,
71,
63,
76
] | 65 | [
"63-50=13",
"76-71=5",
"13*5=65"
] | Current State: 65:[50, 71, 63, 76], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [71, 76, 13]
Generated Node #2: [71, 76, 13] from Operation: 63-50=13
Current State: 65:[71, 76, 13], Operations: ['63-50=13']
Exploring Operation: 76-71=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 76-71=5
Current State: 65:[13, 5], Operations: ['63-50=13', '76-71=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[50, 71, 63, 76], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [71, 63, 26]
Generated Node #0,0: 65:[71, 63, 26] Operation: 76-50=26
Exploring Operation: 71-50=21, Resulting Numbers: [63, 76, 21]
Generated Node #0,1: 65:[63, 76, 21] Operation: 71-50=21
Exploring Operation: 76-71=5, Resulting Numbers: [50, 63, 5]
Generated Node #0,2: 65:[50, 63, 5] Operation: 76-71=5
Exploring Operation: 76-63=13, Resulting Numbers: [50, 71, 13]
Generated Node #0,3: 65:[50, 71, 13] Operation: 76-63=13
Exploring Operation: 63-50=13, Resulting Numbers: [71, 76, 13]
Generated Node #0,4: 65:[71, 76, 13] Operation: 63-50=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[50, 63, 5], Operations: ['76-71=5']
Exploring Operation: 63-50=13, Resulting Numbers: [5, 13]
Generated Node #0,2,0: 65:[5, 13] Operation: 63-50=13
Exploring Operation: 50-5=45, Resulting Numbers: [63, 45]
Generated Node #0,2,1: 65:[63, 45] Operation: 50-5=45
Exploring Operation: 50+5=55, Resulting Numbers: [63, 55]
Generated Node #0,2,2: 65:[63, 55] Operation: 50+5=55
Exploring Operation: 63+5=68, Resulting Numbers: [50, 68]
Generated Node #0,2,3: 65:[50, 68] Operation: 63+5=68
Exploring Operation: 50/5=10, Resulting Numbers: [63, 10]
Generated Node #0,2,4: 65:[63, 10] Operation: 50/5=10
Moving to Node #0,2,0
Current State: 65:[5, 13], Operations: ['76-71=5', '63-50=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[50, 71, 63, 76], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [50, 63, 5]
Generated Node #0,2: 65:[50, 63, 5] Operation: 76-71=5
Moving to Node #0,2
Current State: 65:[50, 63, 5], Operations: ['76-71=5']
Exploring Operation: 63-50=13, Resulting Numbers: [5, 13]
Generated Node #0,2,0: 65:[5, 13] Operation: 63-50=13
Moving to Node #0,2,0
Current State: 65:[5, 13], Operations: ['76-71=5', '63-50=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
17,
28,
10,
60
] | 20 | [
"28*10=280",
"60+280=340",
"340/17=20"
] | Current State: 20:[17, 28, 10, 60], Operations: []
Exploring Operation: 28*10=280, Resulting Numbers: [17, 60, 280]
Generated Node #2: [17, 60, 280] from Operation: 28*10=280
Current State: 20:[17, 60, 280], Operations: ['28*10=280']
Exploring Operation: 60+280=340, Resulting Numbers: [17, 340]
Generated Node #3: [17, 340] from Operation: 60+280=340
Current State: 20:[17, 340], Operations: ['28*10=280', '60+280=340']
Exploring Operation: 340/17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[17, 28, 10, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [17, 28, 6]
Generated Node #0,0: 20:[17, 28, 6] Operation: 60/10=6
Exploring Operation: 60-10=50, Resulting Numbers: [17, 28, 50]
Generated Node #0,1: 20:[17, 28, 50] Operation: 60-10=50
Exploring Operation: 60-28=32, Resulting Numbers: [17, 10, 32]
Generated Node #0,2: 20:[17, 10, 32] Operation: 60-28=32
Exploring Operation: 60-17=43, Resulting Numbers: [28, 10, 43]
Generated Node #0,3: 20:[28, 10, 43] Operation: 60-17=43
Exploring Operation: 28-17=11, Resulting Numbers: [10, 60, 11]
Generated Node #0,4: 20:[10, 60, 11] Operation: 28-17=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[17, 28, 6], Operations: ['60/10=6']
Exploring Operation: 17-6=11, Resulting Numbers: [28, 11]
Generated Node #0,0,0: 20:[28, 11] Operation: 17-6=11
Exploring Operation: 28+6=34, Resulting Numbers: [17, 34]
Generated Node #0,0,1: 20:[17, 34] Operation: 28+6=34
Exploring Operation: 17+6=23, Resulting Numbers: [28, 23]
Generated Node #0,0,2: 20:[28, 23] Operation: 17+6=23
Exploring Operation: 28-6=22, Resulting Numbers: [17, 22]
Generated Node #0,0,3: 20:[17, 22] Operation: 28-6=22
Exploring Operation: 28-17=11, Resulting Numbers: [6, 11]
Generated Node #0,0,4: 20:[6, 11] Operation: 28-17=11
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 20:[6, 11], Operations: ['60/10=6', '28-17=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 20:[17, 22], Operations: ['60/10=6', '28-6=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,20 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[28, 11], Operations: ['60/10=6', '17-6=11']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 20:[28, 23], Operations: ['60/10=6', '17+6=23']
Exploring Operation: 28*23=644, Resulting Numbers: [644]
644,20 unequal: No Solution
Exploring Operation: 28+23=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 20:[17, 34], Operations: ['60/10=6', '28+6=34']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 17*34=578, Resulting Numbers: [578]
578,20 unequal: No Solution
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[17, 10, 32], Operations: ['60-28=32']
Exploring Operation: 10+32=42, Resulting Numbers: [17, 42]
Generated Node #0,2,0: 20:[17, 42] Operation: 10+32=42
Exploring Operation: 17+10=27, Resulting Numbers: [32, 27]
Generated Node #0,2,1: 20:[32, 27] Operation: 17+10=27
Exploring Operation: 32-17=15, Resulting Numbers: [10, 15]
Generated Node #0,2,2: 20:[10, 15] Operation: 32-17=15
Exploring Operation: 32-10=22, Resulting Numbers: [17, 22]
Generated Node #0,2,3: 20:[17, 22] Operation: 32-10=22
Exploring Operation: 17-10=7, Resulting Numbers: [32, 7]
Generated Node #0,2,4: 20:[32, 7] Operation: 17-10=7
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[10, 15], Operations: ['60-28=32', '32-17=15']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,20 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 20:[17, 22], Operations: ['60-28=32', '32-10=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 20:[32, 7], Operations: ['60-28=32', '17-10=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[32, 27], Operations: ['60-28=32', '17+10=27']
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[17, 42], Operations: ['60-28=32', '10+32=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,20 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[28, 10, 43], Operations: ['60-17=43']
Exploring Operation: 43-28=15, Resulting Numbers: [10, 15]
Generated Node #0,3,0: 20:[10, 15] Operation: 43-28=15
Exploring Operation: 28+10=38, Resulting Numbers: [43, 38]
Generated Node #0,3,1: 20:[43, 38] Operation: 28+10=38
Exploring Operation: 10+43=53, Resulting Numbers: [28, 53]
Generated Node #0,3,2: 20:[28, 53] Operation: 10+43=53
Exploring Operation: 28-10=18, Resulting Numbers: [43, 18]
Generated Node #0,3,3: 20:[43, 18] Operation: 28-10=18
Exploring Operation: 43-10=33, Resulting Numbers: [28, 33]
Generated Node #0,3,4: 20:[28, 33] Operation: 43-10=33
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 20:[10, 15], Operations: ['60-17=43', '43-28=15']
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,20 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 20:[28, 33], Operations: ['60-17=43', '43-10=33']
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,20 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 20:[43, 18], Operations: ['60-17=43', '28-10=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Exploring Operation: 43*18=774, Resulting Numbers: [774]
774,20 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 20:[43, 38], Operations: ['60-17=43', '28+10=38']
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,20 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 20:[28, 53], Operations: ['60-17=43', '10+43=53']
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,20 unequal: No Solution
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,20 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[17, 28, 50], Operations: ['60-10=50']
Exploring Operation: 17+28=45, Resulting Numbers: [50, 45]
Generated Node #0,1,0: 20:[50, 45] Operation: 17+28=45
Exploring Operation: 28-17=11, Resulting Numbers: [50, 11]
Generated Node #0,1,1: 20:[50, 11] Operation: 28-17=11
Exploring Operation: 50-28=22, Resulting Numbers: [17, 22]
Generated Node #0,1,2: 20:[17, 22] Operation: 50-28=22
Exploring Operation: 17+50=67, Resulting Numbers: [28, 67]
Generated Node #0,1,3: 20:[28, 67] Operation: 17+50=67
Exploring Operation: 50-17=33, Resulting Numbers: [28, 33]
Generated Node #0,1,4: 20:[28, 33] Operation: 50-17=33
Moving to Node #0,1,2
Current State: 20:[17, 22], Operations: ['60-10=50', '50-28=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,20 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[28, 33], Operations: ['60-10=50', '50-17=33']
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[50, 11], Operations: ['60-10=50', '28-17=11']
Exploring Operation: 50*11=550, Resulting Numbers: [550]
550,20 unequal: No Solution
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[50, 45], Operations: ['60-10=50', '17+28=45']
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,20 unequal: No Solution
Exploring Operation: 50*45=2250, Resulting Numbers: [2250]
2250,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[28, 67], Operations: ['60-10=50', '17+50=67']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 28*67=1876, Resulting Numbers: [1876]
1876,20 unequal: No Solution
Exploring Operation: 28+67=95, Resulting Numbers: [95]
95,20 unequal: No Solution
No 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: 20:[10, 60, 11], Operations: ['28-17=11']
Exploring Operation: 11-10=1, Resulting Numbers: [60, 1]
Generated Node #0,4,0: 20:[60, 1] Operation: 11-10=1
Exploring Operation: 60-10=50, Resulting Numbers: [11, 50]
Generated Node #0,4,1: 20:[11, 50] Operation: 60-10=50
Exploring Operation: 10+11=21, Resulting Numbers: [60, 21]
Generated Node #0,4,2: 20:[60, 21] Operation: 10+11=21
Exploring Operation: 60/10=6, Resulting Numbers: [11, 6]
Generated Node #0,4,3: 20:[11, 6] Operation: 60/10=6
Exploring Operation: 60-11=49, Resulting Numbers: [10, 49]
Generated Node #0,4,4: 20:[10, 49] Operation: 60-11=49
Moving to Node #0,4,3
Current State: 20:[11, 6], Operations: ['28-17=11', '60/10=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Moving to Node #0,4,4
Current State: 20:[10, 49], Operations: ['28-17=11', '60-11=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,20 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Moving to Node #0,4,1
Current State: 20:[11, 50], Operations: ['28-17=11', '60-10=50']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Exploring Operation: 11*50=550, Resulting Numbers: [550]
550,20 unequal: No Solution
Moving to Node #0,4,0
Current State: 20:[60, 1], Operations: ['28-17=11', '11-10=1']
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,20 unequal: No Solution
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Moving to Node #0,4,2
Current State: 20:[60, 21], Operations: ['28-17=11', '10+11=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,20 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,20 unequal: No Solution
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,20 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 |
[
13,
43,
20,
40
] | 32 | [
"43-13=30",
"40/20=2",
"30+2=32"
] | Current State: 32:[13, 43, 20, 40], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [20, 40, 30]
Generated Node #2: [20, 40, 30] from Operation: 43-13=30
Current State: 32:[20, 40, 30], Operations: ['43-13=30']
Exploring Operation: 40/20=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 40/20=2
Current State: 32:[30, 2], Operations: ['43-13=30', '40/20=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[13, 43, 20, 40], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [13, 20, 3]
Generated Node #0,0: 32:[13, 20, 3] Operation: 43-40=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[13, 20, 3], Operations: ['43-40=3']
Exploring Operation: 13+20=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 32:[3, 33] Operation: 13+20=33
Moving to Node #0,0,0
Current State: 32:[3, 33], Operations: ['43-40=3', '13+20=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,32 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 |
[
56,
75,
24,
10
] | 79 | [
"24-10=14",
"56/14=4",
"75+4=79"
] | Current State: 79:[56, 75, 24, 10], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [56, 75, 14]
Generated Node #2: [56, 75, 14] from Operation: 24-10=14
Current State: 79:[56, 75, 14], Operations: ['24-10=14']
Exploring Operation: 56/14=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 56/14=4
Current State: 79:[75, 4], Operations: ['24-10=14', '56/14=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[56, 75, 24, 10], Operations: []
Exploring Operation: 24+10=34, Resulting Numbers: [56, 75, 34]
Generated Node #0,0: 79:[56, 75, 34] Operation: 24+10=34
Exploring Operation: 56+10=66, Resulting Numbers: [75, 24, 66]
Generated Node #0,1: 79:[75, 24, 66] Operation: 56+10=66
Exploring Operation: 56+24=80, Resulting Numbers: [75, 10, 80]
Generated Node #0,2: 79:[75, 10, 80] Operation: 56+24=80
Moving to Node #0,0
Current State: 79:[56, 75, 34], Operations: ['24+10=34']
Exploring Operation: 56+34=90, Resulting Numbers: [75, 90]
Generated Node #0,0,0: 79:[75, 90] Operation: 56+34=90
Exploring Operation: 75+34=109, Resulting Numbers: [56, 109]
Generated Node #0,0,1: 79:[56, 109] Operation: 75+34=109
Exploring Operation: 56-34=22, Resulting Numbers: [75, 22]
Generated Node #0,0,2: 79:[75, 22] Operation: 56-34=22
Moving to Node #0,1
Current State: 79:[75, 24, 66], Operations: ['56+10=66']
Exploring Operation: 75+24=99, Resulting Numbers: [66, 99]
Generated Node #0,1,0: 79:[66, 99] Operation: 75+24=99
Exploring Operation: 75-24=51, Resulting Numbers: [66, 51]
Generated Node #0,1,1: 79:[66, 51] Operation: 75-24=51
Exploring Operation: 24+66=90, Resulting Numbers: [75, 90]
Generated Node #0,1,2: 79:[75, 90] Operation: 24+66=90
Moving to Node #0,2
Current State: 79:[75, 10, 80], Operations: ['56+24=80']
Exploring Operation: 80-10=70, Resulting Numbers: [75, 70]
Generated Node #0,2,0: 79:[75, 70] Operation: 80-10=70
Exploring Operation: 75+10=85, Resulting Numbers: [80, 85]
Generated Node #0,2,1: 79:[80, 85] Operation: 75+10=85
Exploring Operation: 75-10=65, Resulting Numbers: [80, 65]
Generated Node #0,2,2: 79:[80, 65] Operation: 75-10=65
Moving to Node #0,2,1
Current State: 79:[80, 85], Operations: ['56+24=80', '75+10=85']
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,79 unequal: No Solution
Exploring Operation: 80*85=6800, Resulting Numbers: [6800]
6800,79 unequal: No Solution
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[75, 70], Operations: ['56+24=80', '80-10=70']
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 75*70=5250, Resulting Numbers: [5250]
5250,79 unequal: No Solution
Exploring Operation: 75+70=145, Resulting Numbers: [145]
145,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[75, 90], Operations: ['24+10=34', '56+34=90']
Exploring Operation: 75*90=6750, Resulting Numbers: [6750]
6750,79 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 75+90=165, Resulting Numbers: [165]
165,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[75, 90], Operations: ['56+10=66', '24+66=90']
Exploring Operation: 75*90=6750, Resulting Numbers: [6750]
6750,79 unequal: No Solution
Exploring Operation: 75+90=165, Resulting Numbers: [165]
165,79 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[80, 65], Operations: ['56+24=80', '75-10=65']
Exploring Operation: 80+65=145, Resulting Numbers: [145]
145,79 unequal: No Solution
Exploring Operation: 80*65=5200, Resulting Numbers: [5200]
5200,79 unequal: No Solution
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[66, 99], Operations: ['56+10=66', '75+24=99']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,79 unequal: No Solution
Exploring Operation: 66+99=165, Resulting Numbers: [165]
165,79 unequal: No Solution
Exploring Operation: 66*99=6534, Resulting Numbers: [6534]
6534,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[66, 51], Operations: ['56+10=66', '75-24=51']
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,79 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[56, 109], Operations: ['24+10=34', '75+34=109']
Exploring Operation: 56*109=6104, Resulting Numbers: [6104]
6104,79 unequal: No Solution
Exploring Operation: 109-56=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 56+109=165, Resulting Numbers: [165]
165,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[75, 22], Operations: ['24+10=34', '56-34=22']
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,79 unequal: No Solution
Exploring Operation: 75*22=1650, Resulting Numbers: [1650]
1650,79 unequal: No Solution
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,79 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
9,
42,
54,
30
] | 62 | [
"42+30=72",
"72/9=8",
"54+8=62"
] | Current State: 62:[9, 42, 54, 30], Operations: []
Exploring Operation: 42+30=72, Resulting Numbers: [9, 54, 72]
Generated Node #2: [9, 54, 72] from Operation: 42+30=72
Current State: 62:[9, 54, 72], Operations: ['42+30=72']
Exploring Operation: 72/9=8, Resulting Numbers: [54, 8]
Generated Node #3: [54, 8] from Operation: 72/9=8
Current State: 62:[54, 8], Operations: ['42+30=72', '72/9=8']
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[9, 42, 54, 30], Operations: []
Exploring Operation: 9+42=51, Resulting Numbers: [54, 30, 51]
Generated Node #0,0: 62:[54, 30, 51] Operation: 9+42=51
Exploring Operation: 54/9=6, Resulting Numbers: [42, 30, 6]
Generated Node #0,1: 62:[42, 30, 6] Operation: 54/9=6
Exploring Operation: 54-42=12, Resulting Numbers: [9, 30, 12]
Generated Node #0,2: 62:[9, 30, 12] Operation: 54-42=12
Exploring Operation: 42-9=33, Resulting Numbers: [54, 30, 33]
Generated Node #0,3: 62:[54, 30, 33] Operation: 42-9=33
Exploring Operation: 9+54=63, Resulting Numbers: [42, 30, 63]
Generated Node #0,4: 62:[42, 30, 63] Operation: 9+54=63
Moving to Node #0,3
Current State: 62:[54, 30, 33], Operations: ['42-9=33']
Exploring Operation: 54-30=24, Resulting Numbers: [33, 24]
Generated Node #0,3,0: 62:[33, 24] Operation: 54-30=24
Exploring Operation: 30+33=63, Resulting Numbers: [54, 63]
Generated Node #0,3,1: 62:[54, 63] Operation: 30+33=63
Exploring Operation: 54-33=21, Resulting Numbers: [30, 21]
Generated Node #0,3,2: 62:[30, 21] Operation: 54-33=21
Exploring Operation: 33-30=3, Resulting Numbers: [54, 3]
Generated Node #0,3,3: 62:[54, 3] Operation: 33-30=3
Exploring Operation: 54+30=84, Resulting Numbers: [33, 84]
Generated Node #0,3,4: 62:[33, 84] Operation: 54+30=84
Moving to Node #0,4
Current State: 62:[42, 30, 63], Operations: ['9+54=63']
Exploring Operation: 63-30=33, Resulting Numbers: [42, 33]
Generated Node #0,4,0: 62:[42, 33] Operation: 63-30=33
Exploring Operation: 42+30=72, Resulting Numbers: [63, 72]
Generated Node #0,4,1: 62:[63, 72] Operation: 42+30=72
Exploring Operation: 30+63=93, Resulting Numbers: [42, 93]
Generated Node #0,4,2: 62:[42, 93] Operation: 30+63=93
Exploring Operation: 42-30=12, Resulting Numbers: [63, 12]
Generated Node #0,4,3: 62:[63, 12] Operation: 42-30=12
Exploring Operation: 63-42=21, Resulting Numbers: [30, 21]
Generated Node #0,4,4: 62:[30, 21] Operation: 63-42=21
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 62:[63, 72], Operations: ['9+54=63', '42+30=72']
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 63*72=4536, Resulting Numbers: [4536]
4536,62 unequal: No Solution
Exploring Operation: 63+72=135, Resulting Numbers: [135]
135,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 62:[63, 12], Operations: ['9+54=63', '42-30=12']
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,62 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 62:[30, 21], Operations: ['9+54=63', '63-42=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,62 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 62:[42, 33], Operations: ['9+54=63', '63-30=33']
Exploring Operation: 42*33=1386, Resulting Numbers: [1386]
1386,62 unequal: No Solution
Exploring Operation: 42+33=75, Resulting Numbers: [75]
75,62 unequal: No Solution
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 62:[42, 93], Operations: ['9+54=63', '30+63=93']
Exploring Operation: 42+93=135, Resulting Numbers: [135]
135,62 unequal: No Solution
Exploring Operation: 93-42=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 42*93=3906, Resulting Numbers: [3906]
3906,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 62:[42, 30, 6], Operations: ['54/9=6']
Exploring Operation: 30/6=5, Resulting Numbers: [42, 5]
Generated Node #0,1,0: 62:[42, 5] Operation: 30/6=5
Exploring Operation: 42+30=72, Resulting Numbers: [6, 72]
Generated Node #0,1,1: 62:[6, 72] Operation: 42+30=72
Exploring Operation: 42/6=7, Resulting Numbers: [30, 7]
Generated Node #0,1,2: 62:[30, 7] Operation: 42/6=7
Exploring Operation: 42-30=12, Resulting Numbers: [6, 12]
Generated Node #0,1,3: 62:[6, 12] Operation: 42-30=12
Exploring Operation: 42-6=36, Resulting Numbers: [30, 36]
Generated Node #0,1,4: 62:[30, 36] Operation: 42-6=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[30, 7], Operations: ['54/9=6', '42/6=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,62 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 62:[30, 36], Operations: ['54/9=6', '42-6=36']
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 30*36=1080, Resulting Numbers: [1080]
1080,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[42, 5], Operations: ['54/9=6', '30/6=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[6, 72], Operations: ['54/9=6', '42+30=72']
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,62 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[6, 12], Operations: ['54/9=6', '42-30=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,62 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 62:[9, 30, 12], Operations: ['54-42=12']
Exploring Operation: 30+12=42, Resulting Numbers: [9, 42]
Generated Node #0,2,0: 62:[9, 42] Operation: 30+12=42
Exploring Operation: 9+12=21, Resulting Numbers: [30, 21]
Generated Node #0,2,1: 62:[30, 21] Operation: 9+12=21
Exploring Operation: 9+30=39, Resulting Numbers: [12, 39]
Generated Node #0,2,2: 62:[12, 39] Operation: 9+30=39
Exploring Operation: 30-9=21, Resulting Numbers: [12, 21]
Generated Node #0,2,3: 62:[12, 21] Operation: 30-9=21
Exploring Operation: 12-9=3, Resulting Numbers: [30, 3]
Generated Node #0,2,4: 62:[30, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 62:[30, 3], Operations: ['54-42=12', '12-9=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[30, 21], Operations: ['54-42=12', '9+12=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,62 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[9, 42], Operations: ['54-42=12', '30+12=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,62 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[12, 39], Operations: ['54-42=12', '9+30=39']
Exploring Operation: 12+39=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 12*39=468, Resulting Numbers: [468]
468,62 unequal: No Solution
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[12, 21], Operations: ['54-42=12', '30-9=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 62:[54, 30, 51], Operations: ['9+42=51']
Exploring Operation: 54-51=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 62:[30, 3] Operation: 54-51=3
Exploring Operation: 54+30=84, Resulting Numbers: [51, 84]
Generated Node #0,0,1: 62:[51, 84] Operation: 54+30=84
Exploring Operation: 51-30=21, Resulting Numbers: [54, 21]
Generated Node #0,0,2: 62:[54, 21] Operation: 51-30=21
Exploring Operation: 54-30=24, Resulting Numbers: [51, 24]
Generated Node #0,0,3: 62:[51, 24] Operation: 54-30=24
Exploring Operation: 30+51=81, Resulting Numbers: [54, 81]
Generated Node #0,0,4: 62:[54, 81] Operation: 30+51=81
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[30, 3], Operations: ['9+42=51', '54-51=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[54, 21], Operations: ['9+42=51', '51-30=21']
Exploring Operation: 54*21=1134, Resulting Numbers: [1134]
1134,62 unequal: No Solution
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[51, 24], Operations: ['9+42=51', '54-30=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,62 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,62 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 62:[54, 81], Operations: ['9+42=51', '30+51=81']
Exploring Operation: 54*81=4374, Resulting Numbers: [4374]
4374,62 unequal: No Solution
Exploring Operation: 54+81=135, Resulting Numbers: [135]
135,62 unequal: No Solution
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[51, 84], Operations: ['9+42=51', '54+30=84']
Exploring Operation: 51+84=135, Resulting Numbers: [135]
135,62 unequal: No Solution
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 51*84=4284, Resulting Numbers: [4284]
4284,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 62:[33, 24], Operations: ['42-9=33', '54-30=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,62 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,62 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[54, 3], Operations: ['42-9=33', '33-30=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,62 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 54*3=162, Resulting Numbers: [162]
162,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[54, 63], Operations: ['42-9=33', '30+33=63']
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,62 unequal: No Solution
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,62 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[30, 21], Operations: ['42-9=33', '54-33=21']
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,62 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,62 unequal: No Solution
Moving to Node #0,3,4
Current State: 62:[33, 84], Operations: ['42-9=33', '54+30=84']
Exploring Operation: 33*84=2772, Resulting Numbers: [2772]
2772,62 unequal: No Solution
Exploring Operation: 33+84=117, Resulting Numbers: [117]
117,62 unequal: No Solution
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,62 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
93,
70,
44,
83
] | 16 | [
"93-70=23",
"83-44=39",
"39-23=16"
] | Current State: 16:[93, 70, 44, 83], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [44, 83, 23]
Generated Node #2: [44, 83, 23] from Operation: 93-70=23
Current State: 16:[44, 83, 23], Operations: ['93-70=23']
Exploring Operation: 83-44=39, Resulting Numbers: [23, 39]
Generated Node #3: [23, 39] from Operation: 83-44=39
Current State: 16:[23, 39], Operations: ['93-70=23', '83-44=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[93, 70, 44, 83], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [70, 44, 10]
Generated Node #0,0: 16:[70, 44, 10] Operation: 93-83=10
Exploring Operation: 93-70=23, Resulting Numbers: [44, 83, 23]
Generated Node #0,1: 16:[44, 83, 23] Operation: 93-70=23
Exploring Operation: 83-70=13, Resulting Numbers: [93, 44, 13]
Generated Node #0,2: 16:[93, 44, 13] Operation: 83-70=13
Exploring Operation: 93-44=49, Resulting Numbers: [70, 83, 49]
Generated Node #0,3: 16:[70, 83, 49] Operation: 93-44=49
Moving to Node #0,0
Current State: 16:[70, 44, 10], Operations: ['93-83=10']
Exploring Operation: 70-10=60, Resulting Numbers: [44, 60]
Generated Node #0,0,0: 16:[44, 60] Operation: 70-10=60
Exploring Operation: 44-10=34, Resulting Numbers: [70, 34]
Generated Node #0,0,1: 16:[70, 34] Operation: 44-10=34
Exploring Operation: 70-44=26, Resulting Numbers: [10, 26]
Generated Node #0,0,2: 16:[10, 26] Operation: 70-44=26
Exploring Operation: 70/10=7, Resulting Numbers: [44, 7]
Generated Node #0,0,3: 16:[44, 7] Operation: 70/10=7
Moving to Node #0,1
Current State: 16:[44, 83, 23], Operations: ['93-70=23']
Exploring Operation: 83-23=60, Resulting Numbers: [44, 60]
Generated Node #0,1,0: 16:[44, 60] Operation: 83-23=60
Exploring Operation: 44-23=21, Resulting Numbers: [83, 21]
Generated Node #0,1,1: 16:[83, 21] Operation: 44-23=21
Exploring Operation: 83-44=39, Resulting Numbers: [23, 39]
Generated Node #0,1,2: 16:[23, 39] Operation: 83-44=39
Exploring Operation: 44+83=127, Resulting Numbers: [23, 127]
Generated Node #0,1,3: 16:[23, 127] Operation: 44+83=127
Moving to Node #0,2
Current State: 16:[93, 44, 13], Operations: ['83-70=13']
Exploring Operation: 93-13=80, Resulting Numbers: [44, 80]
Generated Node #0,2,0: 16:[44, 80] Operation: 93-13=80
Exploring Operation: 44-13=31, Resulting Numbers: [93, 31]
Generated Node #0,2,1: 16:[93, 31] Operation: 44-13=31
Exploring Operation: 93-44=49, Resulting Numbers: [13, 49]
Generated Node #0,2,2: 16:[13, 49] Operation: 93-44=49
Exploring Operation: 93+13=106, Resulting Numbers: [44, 106]
Generated Node #0,2,3: 16:[44, 106] Operation: 93+13=106
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[13, 49], Operations: ['83-70=13', '93-44=49']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,16 unequal: No Solution
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,16 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:[44, 80], Operations: ['83-70=13', '93-13=80']
Exploring Operation: 44*80=3520, Resulting Numbers: [3520]
3520,16 unequal: No Solution
Exploring Operation: 44+80=124, Resulting Numbers: [124]
124,16 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,16 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:[93, 31], Operations: ['83-70=13', '44-13=31']
Exploring Operation: 93-31=62, Resulting Numbers: [62]
62,16 unequal: No Solution
Exploring Operation: 93*31=2883, Resulting Numbers: [2883]
2883,16 unequal: No Solution
Exploring Operation: 93/31=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 93+31=124, Resulting Numbers: [124]
124,16 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 #0,2,3
Current State: 16:[44, 106], Operations: ['83-70=13', '93+13=106']
Exploring Operation: 106-44=62, Resulting Numbers: [62]
62,16 unequal: No Solution
Exploring Operation: 44+106=150, Resulting Numbers: [150]
150,16 unequal: No Solution
Exploring Operation: 44*106=4664, Resulting Numbers: [4664]
4664,16 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:[70, 83, 49], Operations: ['93-44=49']
Exploring Operation: 70-49=21, Resulting Numbers: [83, 21]
Generated Node #0,3,0: 16:[83, 21] Operation: 70-49=21
Exploring Operation: 70+83=153, Resulting Numbers: [49, 153]
Generated Node #0,3,1: 16:[49, 153] Operation: 70+83=153
Exploring Operation: 83-49=34, Resulting Numbers: [70, 34]
Generated Node #0,3,2: 16:[70, 34] Operation: 83-49=34
Exploring Operation: 83-70=13, Resulting Numbers: [49, 13]
Generated Node #0,3,3: 16:[49, 13] Operation: 83-70=13
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[49, 13], Operations: ['93-44=49', '83-70=13']
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,16 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 49*13=637, Resulting Numbers: [637]
637,16 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:[83, 21], Operations: ['93-44=49', '70-49=21']
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,16 unequal: No Solution
Exploring Operation: 83+21=104, Resulting Numbers: [104]
104,16 unequal: No Solution
Exploring Operation: 83*21=1743, Resulting Numbers: [1743]
1743,16 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:[70, 34], Operations: ['93-44=49', '83-49=34']
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,16 unequal: No Solution
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,16 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,16 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 #0,3,1
Current State: 16:[49, 153], Operations: ['93-44=49', '70+83=153']
Exploring Operation: 49*153=7497, Resulting Numbers: [7497]
7497,16 unequal: No Solution
Exploring Operation: 49+153=202, Resulting Numbers: [202]
202,16 unequal: No Solution
Exploring Operation: 153-49=104, Resulting Numbers: [104]
104,16 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: 16:[10, 26], Operations: ['93-83=10', '70-44=26']
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,16 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[93, 70, 44, 83], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [70, 44, 10]
Generated Node #0,0: 16:[70, 44, 10] Operation: 93-83=10
Moving to Node #0,0
Current State: 16:[70, 44, 10], Operations: ['93-83=10']
Exploring Operation: 70-44=26, Resulting Numbers: [10, 26]
Generated Node #0,0,2: 16:[10, 26] Operation: 70-44=26
Moving to Node #0,0,2
Current State: 16:[10, 26], Operations: ['93-83=10', '70-44=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.955729 | hs_4 | sum_heuristic |
[
99,
91,
36,
8
] | 52 | [
"99-91=8",
"36+8=44",
"8+44=52"
] | Current State: 52:[99, 91, 36, 8], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [36, 8, 8]
Generated Node #2: [36, 8, 8] from Operation: 99-91=8
Current State: 52:[36, 8, 8], Operations: ['99-91=8']
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,52 equal: Goal Reached
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[99, 91, 36, 8], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [36, 8, 8]
Generated Node #0,0: 52:[36, 8, 8] Operation: 99-91=8
Exploring Operation: 99-36=63, Resulting Numbers: [91, 8, 63]
Generated Node #0,1: 52:[91, 8, 63] Operation: 99-36=63
Exploring Operation: 99-8=91, Resulting Numbers: [91, 36, 91]
Generated Node #0,2: 52:[91, 36, 91] Operation: 99-8=91
Exploring Operation: 91-36=55, Resulting Numbers: [99, 8, 55]
Generated Node #0,3: 52:[99, 8, 55] Operation: 91-36=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[36, 8, 8], Operations: ['99-91=8']
Exploring Operation: 8/8=1, Resulting Numbers: [36, 1]
Generated Node #0,0,0: 52:[36, 1] Operation: 8/8=1
Exploring Operation: 36+8=44, Resulting Numbers: [8, 44]
Generated Node #0,0,1: 52:[8, 44] Operation: 36+8=44
Exploring Operation: 36-8=28, Resulting Numbers: [8, 28]
Generated Node #0,0,2: 52:[8, 28] Operation: 36-8=28
Exploring Operation: 36-8=28, Resulting Numbers: [8, 28]
Generated Node #0,0,3: 52:[8, 28] Operation: 36-8=28
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[8, 28], Operations: ['99-91=8', '36-8=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,52 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,52 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:[8, 28], Operations: ['99-91=8', '36-8=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,52 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 #0,0,0
Current State: 52:[36, 1], Operations: ['99-91=8', '8/8=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,52 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:[8, 44], Operations: ['99-91=8', '36+8=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[99, 91, 36, 8], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [36, 8, 8]
Generated Node #0,0: 52:[36, 8, 8] Operation: 99-91=8
Moving to Node #0,0
Current State: 52:[36, 8, 8], Operations: ['99-91=8']
Exploring Operation: 36+8=44, Resulting Numbers: [8, 44]
Generated Node #0,0,1: 52:[8, 44] Operation: 36+8=44
Moving to Node #0,0,1
Current State: 52:[8, 44], Operations: ['99-91=8', '36+8=44']
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
78,
92,
43,
64
] | 86 | [
"92+64=156",
"156/78=2",
"43*2=86"
] | Current State: 86:[78, 92, 43, 64], Operations: []
Exploring Operation: 92+64=156, Resulting Numbers: [78, 43, 156]
Generated Node #2: [78, 43, 156] from Operation: 92+64=156
Current State: 86:[78, 43, 156], Operations: ['92+64=156']
Exploring Operation: 156/78=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 156/78=2
Current State: 86:[43, 2], Operations: ['92+64=156', '156/78=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[78, 92, 43, 64], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [78, 43, 28]
Generated Node #0,0: 86:[78, 43, 28] Operation: 92-64=28
Exploring Operation: 78-64=14, Resulting Numbers: [92, 43, 14]
Generated Node #0,1: 86:[92, 43, 14] Operation: 78-64=14
Moving to Node #0,1
Current State: 86:[92, 43, 14], Operations: ['78-64=14']
Exploring Operation: 92-43=49, Resulting Numbers: [14, 49]
Generated Node #0,1,0: 86:[14, 49] Operation: 92-43=49
Exploring Operation: 92-14=78, Resulting Numbers: [43, 78]
Generated Node #0,1,1: 86:[43, 78] Operation: 92-14=78
Moving to Node #0,0
Current State: 86:[78, 43, 28], Operations: ['92-64=28']
Exploring Operation: 78-28=50, Resulting Numbers: [43, 50]
Generated Node #0,0,0: 86:[43, 50] Operation: 78-28=50
Exploring Operation: 78+28=106, Resulting Numbers: [43, 106]
Generated Node #0,0,1: 86:[43, 106] Operation: 78+28=106
Moving to Node #0,0,0
Current State: 86:[43, 50], Operations: ['92-64=28', '78-28=50']
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 43+50=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[43, 78], Operations: ['78-64=14', '92-14=78']
Exploring Operation: 43+78=121, Resulting Numbers: [121]
121,86 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[14, 49], Operations: ['78-64=14', '92-43=49']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[43, 106], Operations: ['92-64=28', '78+28=106']
Exploring Operation: 43+106=149, Resulting Numbers: [149]
149,86 unequal: No Solution
Exploring Operation: 106-43=63, Resulting Numbers: [63]
63,86 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
88,
66,
63,
59
] | 100 | [
"88-66=22",
"63+59=122",
"122-22=100"
] | Current State: 100:[88, 66, 63, 59], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [63, 59, 22]
Generated Node #2: [63, 59, 22] from Operation: 88-66=22
Current State: 100:[63, 59, 22], Operations: ['88-66=22']
Exploring Operation: 63+59=122, Resulting Numbers: [22, 122]
Generated Node #3: [22, 122] from Operation: 63+59=122
Current State: 100:[22, 122], Operations: ['88-66=22', '63+59=122']
Exploring Operation: 122-22=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[88, 66, 63, 59], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [88, 66, 4]
Generated Node #0,0: 100:[88, 66, 4] Operation: 63-59=4
Exploring Operation: 88-63=25, Resulting Numbers: [66, 59, 25]
Generated Node #0,1: 100:[66, 59, 25] Operation: 88-63=25
Exploring Operation: 66-59=7, Resulting Numbers: [88, 63, 7]
Generated Node #0,2: 100:[88, 63, 7] Operation: 66-59=7
Exploring Operation: 66-63=3, Resulting Numbers: [88, 59, 3]
Generated Node #0,3: 100:[88, 59, 3] Operation: 66-63=3
Exploring Operation: 88-66=22, Resulting Numbers: [63, 59, 22]
Generated Node #0,4: 100:[63, 59, 22] Operation: 88-66=22
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[88, 59, 3], Operations: ['66-63=3']
Exploring Operation: 88-3=85, Resulting Numbers: [59, 85]
Generated Node #0,3,0: 100:[59, 85] Operation: 88-3=85
Exploring Operation: 59+3=62, Resulting Numbers: [88, 62]
Generated Node #0,3,1: 100:[88, 62] Operation: 59+3=62
Exploring Operation: 59-3=56, Resulting Numbers: [88, 56]
Generated Node #0,3,2: 100:[88, 56] Operation: 59-3=56
Exploring Operation: 88-59=29, Resulting Numbers: [3, 29]
Generated Node #0,3,3: 100:[3, 29] Operation: 88-59=29
Exploring Operation: 88+3=91, Resulting Numbers: [59, 91]
Generated Node #0,3,4: 100:[59, 91] Operation: 88+3=91
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[3, 29], Operations: ['66-63=3', '88-59=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,100 unequal: No Solution
No 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: 100:[88, 56], Operations: ['66-63=3', '59-3=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 88+56=144, Resulting Numbers: [144]
144,100 unequal: No Solution
Exploring Operation: 88*56=4928, Resulting Numbers: [4928]
4928,100 unequal: No Solution
No 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: 100:[59, 91], Operations: ['66-63=3', '88+3=91']
Exploring Operation: 59*91=5369, Resulting Numbers: [5369]
5369,100 unequal: No Solution
Exploring Operation: 59+91=150, Resulting Numbers: [150]
150,100 unequal: No Solution
Exploring Operation: 91-59=32, Resulting Numbers: [32]
32,100 unequal: No Solution
No 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: 100:[59, 85], Operations: ['66-63=3', '88-3=85']
Exploring Operation: 59*85=5015, Resulting Numbers: [5015]
5015,100 unequal: No Solution
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 59+85=144, Resulting Numbers: [144]
144,100 unequal: No Solution
No 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: 100:[88, 62], Operations: ['66-63=3', '59+3=62']
Exploring Operation: 88-62=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 88*62=5456, Resulting Numbers: [5456]
5456,100 unequal: No Solution
Exploring Operation: 88+62=150, Resulting Numbers: [150]
150,100 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: 100:[63, 59, 22], Operations: ['88-66=22']
Exploring Operation: 59-22=37, Resulting Numbers: [63, 37]
Generated Node #0,4,0: 100:[63, 37] Operation: 59-22=37
Exploring Operation: 63+22=85, Resulting Numbers: [59, 85]
Generated Node #0,4,1: 100:[59, 85] Operation: 63+22=85
Exploring Operation: 63+59=122, Resulting Numbers: [22, 122]
Generated Node #0,4,2: 100:[22, 122] Operation: 63+59=122
Exploring Operation: 63-22=41, Resulting Numbers: [59, 41]
Generated Node #0,4,3: 100:[59, 41] Operation: 63-22=41
Exploring Operation: 63-59=4, Resulting Numbers: [22, 4]
Generated Node #0,4,4: 100:[22, 4] Operation: 63-59=4
Moving to Node #0,4,4
Current State: 100:[22, 4], Operations: ['88-66=22', '63-59=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,100 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Moving to Node #0,4,3
Current State: 100:[59, 41], Operations: ['88-66=22', '63-22=41']
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[88, 66, 63, 59], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [63, 59, 22]
Generated Node #0,4: 100:[63, 59, 22] Operation: 88-66=22
Moving to Node #0,4
Current State: 100:[63, 59, 22], Operations: ['88-66=22']
Exploring Operation: 63-22=41, Resulting Numbers: [59, 41]
Generated Node #0,4,3: 100:[59, 41] Operation: 63-22=41
Moving to Node #0,4,3
Current State: 100:[59, 41], Operations: ['88-66=22', '63-22=41']
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
52,
20,
85,
88
] | 29 | [
"52-20=32",
"88-85=3",
"32-3=29"
] | Current State: 29:[52, 20, 85, 88], Operations: []
Exploring Operation: 52-20=32, Resulting Numbers: [85, 88, 32]
Generated Node #2: [85, 88, 32] from Operation: 52-20=32
Current State: 29:[85, 88, 32], Operations: ['52-20=32']
Exploring Operation: 88-85=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 88-85=3
Current State: 29:[32, 3], Operations: ['52-20=32', '88-85=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[52, 20, 85, 88], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [20, 85, 36]
Generated Node #0,0: 29:[20, 85, 36] Operation: 88-52=36
Exploring Operation: 85-52=33, Resulting Numbers: [20, 88, 33]
Generated Node #0,1: 29:[20, 88, 33] Operation: 85-52=33
Exploring Operation: 52-20=32, Resulting Numbers: [85, 88, 32]
Generated Node #0,2: 29:[85, 88, 32] Operation: 52-20=32
Exploring Operation: 88-85=3, Resulting Numbers: [52, 20, 3]
Generated Node #0,3: 29:[52, 20, 3] Operation: 88-85=3
Moving to Node #0,3
Current State: 29:[52, 20, 3], Operations: ['88-85=3']
Exploring Operation: 52+3=55, Resulting Numbers: [20, 55]
Generated Node #0,3,0: 29:[20, 55] Operation: 52+3=55
Exploring Operation: 52-3=49, Resulting Numbers: [20, 49]
Generated Node #0,3,1: 29:[20, 49] Operation: 52-3=49
Exploring Operation: 20+3=23, Resulting Numbers: [52, 23]
Generated Node #0,3,2: 29:[52, 23] Operation: 20+3=23
Exploring Operation: 52-20=32, Resulting Numbers: [3, 32]
Generated Node #0,3,3: 29:[3, 32] Operation: 52-20=32
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[20, 49], Operations: ['88-85=3', '52-3=49']
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,29 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[52, 20, 85, 88], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [52, 20, 3]
Generated Node #0,3: 29:[52, 20, 3] Operation: 88-85=3
Moving to Node #0,3
Current State: 29:[52, 20, 3], Operations: ['88-85=3']
Exploring Operation: 52-3=49, Resulting Numbers: [20, 49]
Generated Node #0,3,1: 29:[20, 49] Operation: 52-3=49
Moving to Node #0,3,1
Current State: 29:[20, 49], Operations: ['88-85=3', '52-3=49']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
50,
51,
10,
6
] | 97 | [
"50+51=101",
"10-6=4",
"101-4=97"
] | Current State: 97:[50, 51, 10, 6], Operations: []
Exploring Operation: 50+51=101, Resulting Numbers: [10, 6, 101]
Generated Node #2: [10, 6, 101] from Operation: 50+51=101
Current State: 97:[10, 6, 101], Operations: ['50+51=101']
Exploring Operation: 10-6=4, Resulting Numbers: [101, 4]
Generated Node #3: [101, 4] from Operation: 10-6=4
Current State: 97:[101, 4], Operations: ['50+51=101', '10-6=4']
Exploring Operation: 101-4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[50, 51, 10, 6], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [51, 10, 56]
Generated Node #0,0: 97:[51, 10, 56] Operation: 50+6=56
Exploring Operation: 51+10=61, Resulting Numbers: [50, 6, 61]
Generated Node #0,1: 97:[50, 6, 61] Operation: 51+10=61
Exploring Operation: 10*6=60, Resulting Numbers: [50, 51, 60]
Generated Node #0,2: 97:[50, 51, 60] Operation: 10*6=60
Exploring Operation: 50+10=60, Resulting Numbers: [51, 6, 60]
Generated Node #0,3: 97:[51, 6, 60] Operation: 50+10=60
Moving to Node #0,2
Current State: 97:[50, 51, 60], Operations: ['10*6=60']
Exploring Operation: 51+60=111, Resulting Numbers: [50, 111]
Generated Node #0,2,0: 97:[50, 111] Operation: 51+60=111
Exploring Operation: 51-50=1, Resulting Numbers: [60, 1]
Generated Node #0,2,1: 97:[60, 1] Operation: 51-50=1
Exploring Operation: 50+51=101, Resulting Numbers: [60, 101]
Generated Node #0,2,2: 97:[60, 101] Operation: 50+51=101
Exploring Operation: 50+60=110, Resulting Numbers: [51, 110]
Generated Node #0,2,3: 97:[51, 110] Operation: 50+60=110
Moving to Node #0,1
Current State: 97:[50, 6, 61], Operations: ['51+10=61']
Exploring Operation: 50+6=56, Resulting Numbers: [61, 56]
Generated Node #0,1,0: 97:[61, 56] Operation: 50+6=56
Exploring Operation: 61-6=55, Resulting Numbers: [50, 55]
Generated Node #0,1,1: 97:[50, 55] Operation: 61-6=55
Exploring Operation: 50-6=44, Resulting Numbers: [61, 44]
Generated Node #0,1,2: 97:[61, 44] Operation: 50-6=44
Exploring Operation: 6+61=67, Resulting Numbers: [50, 67]
Generated Node #0,1,3: 97:[50, 67] Operation: 6+61=67
Moving to Node #0,0
Current State: 97:[51, 10, 56], Operations: ['50+6=56']
Exploring Operation: 51+56=107, Resulting Numbers: [10, 107]
Generated Node #0,0,0: 97:[10, 107] Operation: 51+56=107
Exploring Operation: 10+56=66, Resulting Numbers: [51, 66]
Generated Node #0,0,1: 97:[51, 66] Operation: 10+56=66
Exploring Operation: 51-10=41, Resulting Numbers: [56, 41]
Generated Node #0,0,2: 97:[56, 41] Operation: 51-10=41
Exploring Operation: 51+10=61, Resulting Numbers: [56, 61]
Generated Node #0,0,3: 97:[56, 61] Operation: 51+10=61
Moving to Node #0,3
Current State: 97:[51, 6, 60], Operations: ['50+10=60']
Exploring Operation: 60-6=54, Resulting Numbers: [51, 54]
Generated Node #0,3,0: 97:[51, 54] Operation: 60-6=54
Exploring Operation: 6+60=66, Resulting Numbers: [51, 66]
Generated Node #0,3,1: 97:[51, 66] Operation: 6+60=66
Exploring Operation: 51-6=45, Resulting Numbers: [60, 45]
Generated Node #0,3,2: 97:[60, 45] Operation: 51-6=45
Exploring Operation: 51+6=57, Resulting Numbers: [60, 57]
Generated Node #0,3,3: 97:[60, 57] Operation: 51+6=57
Moving to Node #0,2,2
Current State: 97:[60, 101], Operations: ['10*6=60', '50+51=101']
Exploring Operation: 101-60=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Exploring Operation: 60*101=6060, Resulting Numbers: [6060]
6060,97 unequal: No Solution
Exploring Operation: 60+101=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[51, 110], Operations: ['10*6=60', '50+60=110']
Exploring Operation: 51*110=5610, Resulting Numbers: [5610]
5610,97 unequal: No Solution
Exploring Operation: 110-51=59, Resulting Numbers: [59]
59,97 unequal: No Solution
Exploring Operation: 51+110=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[50, 111], Operations: ['10*6=60', '51+60=111']
Exploring Operation: 50+111=161, Resulting Numbers: [161]
161,97 unequal: No Solution
Exploring Operation: 111-50=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 50*111=5550, Resulting Numbers: [5550]
5550,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[60, 57], Operations: ['50+10=60', '51+6=57']
Exploring Operation: 60*57=3420, Resulting Numbers: [3420]
3420,97 unequal: No Solution
Exploring Operation: 60+57=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 60-57=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[50, 67], Operations: ['51+10=61', '6+61=67']
Exploring Operation: 50*67=3350, Resulting Numbers: [3350]
3350,97 unequal: No Solution
Exploring Operation: 50+67=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[51, 66], Operations: ['50+10=60', '6+60=66']
Exploring Operation: 51+66=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 51*66=3366, Resulting Numbers: [3366]
3366,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[61, 56], Operations: ['51+10=61', '50+6=56']
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 61*56=3416, Resulting Numbers: [3416]
3416,97 unequal: No Solution
Exploring Operation: 61+56=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[56, 61], Operations: ['50+6=56', '51+10=61']
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[51, 66], Operations: ['50+6=56', '10+56=66']
Exploring Operation: 51*66=3366, Resulting Numbers: [3366]
3366,97 unequal: No Solution
Exploring Operation: 51+66=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[50, 55], Operations: ['51+10=61', '61-6=55']
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 50+55=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 50*55=2750, Resulting Numbers: [2750]
2750,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[51, 54], Operations: ['50+10=60', '60-6=54']
Exploring Operation: 51+54=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 51*54=2754, Resulting Numbers: [2754]
2754,97 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[61, 44], Operations: ['51+10=61', '50-6=44']
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,97 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[60, 45], Operations: ['50+10=60', '51-6=45']
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,97 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[56, 41], Operations: ['50+6=56', '51-10=41']
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[50, 51, 10, 6], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [51, 10, 56]
Generated Node #0,0: 97:[51, 10, 56] Operation: 50+6=56
Moving to Node #0,0
Current State: 97:[51, 10, 56], Operations: ['50+6=56']
Exploring Operation: 51-10=41, Resulting Numbers: [56, 41]
Generated Node #0,0,2: 97:[56, 41] Operation: 51-10=41
Moving to Node #0,0,2
Current State: 97:[56, 41], Operations: ['50+6=56', '51-10=41']
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.944444 | hs_4 | mult_heuristic |
[
28,
40,
72,
74
] | 96 | [
"74-72=2",
"28*2=56",
"40+56=96"
] | Current State: 96:[28, 40, 72, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [28, 40, 2]
Generated Node #2: [28, 40, 2] from Operation: 74-72=2
Current State: 96:[28, 40, 2], Operations: ['74-72=2']
Exploring Operation: 28*2=56, Resulting Numbers: [40, 56]
Generated Node #3: [40, 56] from Operation: 28*2=56
Current State: 96:[40, 56], Operations: ['74-72=2', '28*2=56']
Exploring Operation: 40+56=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[28, 40, 72, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [28, 40, 2]
Generated Node #0,0: 96:[28, 40, 2] Operation: 74-72=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[28, 40, 2], Operations: ['74-72=2']
Exploring Operation: 40-28=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 96:[2, 12] Operation: 40-28=12
Moving to Node #0,0,0
Current State: 96:[2, 12], Operations: ['74-72=2', '40-28=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
24,
23,
48,
49
] | 97 | [
"24-23=1",
"48+49=97",
"1*97=97"
] | Current State: 97:[24, 23, 48, 49], Operations: []
Exploring Operation: 24-23=1, Resulting Numbers: [48, 49, 1]
Generated Node #2: [48, 49, 1] from Operation: 24-23=1
Current State: 97:[48, 49, 1], Operations: ['24-23=1']
Exploring Operation: 48+49=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 48+49=97
Current State: 97:[1, 97], Operations: ['24-23=1', '48+49=97']
Exploring Operation: 1*97=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[24, 23, 48, 49], Operations: []
Exploring Operation: 24+49=73, Resulting Numbers: [23, 48, 73]
Generated Node #0,0: 97:[23, 48, 73] Operation: 24+49=73
Exploring Operation: 24+48=72, Resulting Numbers: [23, 49, 72]
Generated Node #0,1: 97:[23, 49, 72] Operation: 24+48=72
Exploring Operation: 24+23=47, Resulting Numbers: [48, 49, 47]
Generated Node #0,2: 97:[48, 49, 47] Operation: 24+23=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[23, 48, 73], Operations: ['24+49=73']
Exploring Operation: 23+48=71, Resulting Numbers: [73, 71]
Generated Node #0,0,0: 97:[73, 71] Operation: 23+48=71
Exploring Operation: 48-23=25, Resulting Numbers: [73, 25]
Generated Node #0,0,1: 97:[73, 25] Operation: 48-23=25
Exploring Operation: 23+73=96, Resulting Numbers: [48, 96]
Generated Node #0,0,2: 97:[48, 96] Operation: 23+73=96
Moving to Node #0,0,0
Current State: 97:[73, 71], Operations: ['24+49=73', '23+48=71']
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[48, 96], Operations: ['24+49=73', '23+73=96']
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[73, 25], Operations: ['24+49=73', '48-23=25']
Exploring Operation: 73*25=1825, Resulting Numbers: [1825]
1825,97 unequal: No Solution
Exploring Operation: 73+25=98, Resulting Numbers: [98]
98,97 unequal: No Solution
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[23, 49, 72], Operations: ['24+48=72']
Exploring Operation: 23+72=95, Resulting Numbers: [49, 95]
Generated Node #0,1,0: 97:[49, 95] Operation: 23+72=95
Exploring Operation: 23+49=72, Resulting Numbers: [72, 72]
Generated Node #0,1,1: 97:[72, 72] Operation: 23+49=72
Exploring Operation: 49-23=26, Resulting Numbers: [72, 26]
Generated Node #0,1,2: 97:[72, 26] Operation: 49-23=26
Moving to Node #0,1,0
Current State: 97:[49, 95], Operations: ['24+48=72', '23+72=95']
Exploring Operation: 49*95=4655, Resulting Numbers: [4655]
4655,97 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[72, 72], Operations: ['24+48=72', '23+49=72']
Exploring Operation: 72+72=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 72/72=1, Resulting Numbers: [1]
1,97 unequal: No Solution
Exploring Operation: 72-72=0, Resulting Numbers: [0]
0,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[72, 26], Operations: ['24+48=72', '49-23=26']
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,97 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,97 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[48, 49, 47], Operations: ['24+23=47']
Exploring Operation: 48+47=95, Resulting Numbers: [49, 95]
Generated Node #0,2,0: 97:[49, 95] Operation: 48+47=95
Exploring Operation: 49+47=96, Resulting Numbers: [48, 96]
Generated Node #0,2,1: 97:[48, 96] Operation: 49+47=96
Exploring Operation: 48+49=97, Resulting Numbers: [47, 97]
Generated Node #0,2,2: 97:[47, 97] Operation: 48+49=97
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[49, 95], Operations: ['24+23=47', '48+47=95']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 49*95=4655, Resulting Numbers: [4655]
4655,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[48, 96], Operations: ['24+23=47', '49+47=96']
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[47, 97], Operations: ['24+23=47', '48+49=97']
Exploring Operation: 47*97=4559, Resulting Numbers: [4559]
4559,97 unequal: No Solution
Exploring Operation: 47+97=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
37,
61,
11,
6
] | 42 | [
"61-37=24",
"11*6=66",
"66-24=42"
] | Current State: 42:[37, 61, 11, 6], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [11, 6, 24]
Generated Node #2: [11, 6, 24] from Operation: 61-37=24
Current State: 42:[11, 6, 24], Operations: ['61-37=24']
Exploring Operation: 11*6=66, Resulting Numbers: [24, 66]
Generated Node #3: [24, 66] from Operation: 11*6=66
Current State: 42:[24, 66], Operations: ['61-37=24', '11*6=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[37, 61, 11, 6], Operations: []
Exploring Operation: 61-11=50, Resulting Numbers: [37, 6, 50]
Generated Node #0,0: 42:[37, 6, 50] Operation: 61-11=50
Exploring Operation: 37+6=43, Resulting Numbers: [61, 11, 43]
Generated Node #0,1: 42:[61, 11, 43] Operation: 37+6=43
Exploring Operation: 61-6=55, Resulting Numbers: [37, 11, 55]
Generated Node #0,2: 42:[37, 11, 55] Operation: 61-6=55
Exploring Operation: 61-37=24, Resulting Numbers: [11, 6, 24]
Generated Node #0,3: 42:[11, 6, 24] Operation: 61-37=24
Moving to Node #0,3
Current State: 42:[11, 6, 24], Operations: ['61-37=24']
Exploring Operation: 24-11=13, Resulting Numbers: [6, 13]
Generated Node #0,3,0: 42:[6, 13] Operation: 24-11=13
Exploring Operation: 11-6=5, Resulting Numbers: [24, 5]
Generated Node #0,3,1: 42:[24, 5] Operation: 11-6=5
Exploring Operation: 24/6=4, Resulting Numbers: [11, 4]
Generated Node #0,3,2: 42:[11, 4] Operation: 24/6=4
Exploring Operation: 11+6=17, Resulting Numbers: [24, 17]
Generated Node #0,3,3: 42:[24, 17] Operation: 11+6=17
Moving to Node #0,0
Current State: 42:[37, 6, 50], Operations: ['61-11=50']
Exploring Operation: 50-37=13, Resulting Numbers: [6, 13]
Generated Node #0,0,0: 42:[6, 13] Operation: 50-37=13
Exploring Operation: 37+6=43, Resulting Numbers: [50, 43]
Generated Node #0,0,1: 42:[50, 43] Operation: 37+6=43
Exploring Operation: 50-6=44, Resulting Numbers: [37, 44]
Generated Node #0,0,2: 42:[37, 44] Operation: 50-6=44
Exploring Operation: 37-6=31, Resulting Numbers: [50, 31]
Generated Node #0,0,3: 42:[50, 31] Operation: 37-6=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[6, 13], Operations: ['61-11=50', '50-37=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,42 unequal: No Solution
No 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: 42:[37, 44], Operations: ['61-11=50', '50-6=44']
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 37*44=1628, Resulting Numbers: [1628]
1628,42 unequal: No Solution
No 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: 42:[50, 43], Operations: ['61-11=50', '37+6=43']
Exploring Operation: 50*43=2150, Resulting Numbers: [2150]
2150,42 unequal: No Solution
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,42 unequal: No Solution
No 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: 42:[50, 31], Operations: ['61-11=50', '37-6=31']
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 50+31=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 50*31=1550, Resulting Numbers: [1550]
1550,42 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: 42:[37, 11, 55], Operations: ['61-6=55']
Exploring Operation: 55-37=18, Resulting Numbers: [11, 18]
Generated Node #0,2,0: 42:[11, 18] Operation: 55-37=18
Exploring Operation: 37-11=26, Resulting Numbers: [55, 26]
Generated Node #0,2,1: 42:[55, 26] Operation: 37-11=26
Exploring Operation: 55-11=44, Resulting Numbers: [37, 44]
Generated Node #0,2,2: 42:[37, 44] Operation: 55-11=44
Exploring Operation: 55/11=5, Resulting Numbers: [37, 5]
Generated Node #0,2,3: 42:[37, 5] Operation: 55/11=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[11, 18], Operations: ['61-6=55', '55-37=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,42 unequal: No Solution
No 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: 42:[37, 5], Operations: ['61-6=55', '55/11=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[37, 61, 11, 6], Operations: []
Exploring Operation: 61-6=55, Resulting Numbers: [37, 11, 55]
Generated Node #0,2: 42:[37, 11, 55] Operation: 61-6=55
Moving to Node #0,2
Current State: 42:[37, 11, 55], Operations: ['61-6=55']
Exploring Operation: 55/11=5, Resulting Numbers: [37, 5]
Generated Node #0,2,3: 42:[37, 5] Operation: 55/11=5
Moving to Node #0,2,3
Current State: 42:[37, 5], Operations: ['61-6=55', '55/11=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
13,
33,
16,
38
] | 81 | [
"16-13=3",
"38*3=114",
"114-33=81"
] | Current State: 81:[13, 33, 16, 38], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [33, 38, 3]
Generated Node #2: [33, 38, 3] from Operation: 16-13=3
Current State: 81:[33, 38, 3], Operations: ['16-13=3']
Exploring Operation: 38*3=114, Resulting Numbers: [33, 114]
Generated Node #3: [33, 114] from Operation: 38*3=114
Current State: 81:[33, 114], Operations: ['16-13=3', '38*3=114']
Exploring Operation: 114-33=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[13, 33, 16, 38], Operations: []
Exploring Operation: 38-13=25, Resulting Numbers: [33, 16, 25]
Generated Node #0,0: 81:[33, 16, 25] Operation: 38-13=25
Exploring Operation: 38-33=5, Resulting Numbers: [13, 16, 5]
Generated Node #0,1: 81:[13, 16, 5] Operation: 38-33=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[13, 16, 5], Operations: ['38-33=5']
Exploring Operation: 16-13=3, Resulting Numbers: [5, 3]
Generated Node #0,1,0: 81:[5, 3] Operation: 16-13=3
Exploring Operation: 13+16=29, Resulting Numbers: [5, 29]
Generated Node #0,1,1: 81:[5, 29] Operation: 13+16=29
Moving to Node #0,1,0
Current State: 81:[5, 3], Operations: ['38-33=5', '16-13=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[5, 29], Operations: ['38-33=5', '13+16=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[33, 16, 25], Operations: ['38-13=25']
Exploring Operation: 33-25=8, Resulting Numbers: [16, 8]
Generated Node #0,0,0: 81:[16, 8] Operation: 33-25=8
Exploring Operation: 25-16=9, Resulting Numbers: [33, 9]
Generated Node #0,0,1: 81:[33, 9] Operation: 25-16=9
Moving to Node #0,0,1
Current State: 81:[33, 9], Operations: ['38-13=25', '25-16=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[16, 8], Operations: ['38-13=25', '33-25=8']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,81 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 |
[
6,
38,
70,
2
] | 88 | [
"6*38=228",
"70*2=140",
"228-140=88"
] | Current State: 88:[6, 38, 70, 2], Operations: []
Exploring Operation: 6*38=228, Resulting Numbers: [70, 2, 228]
Generated Node #2: [70, 2, 228] from Operation: 6*38=228
Current State: 88:[70, 2, 228], Operations: ['6*38=228']
Exploring Operation: 70*2=140, Resulting Numbers: [228, 140]
Generated Node #3: [228, 140] from Operation: 70*2=140
Current State: 88:[228, 140], Operations: ['6*38=228', '70*2=140']
Exploring Operation: 228-140=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[6, 38, 70, 2], Operations: []
Exploring Operation: 70-38=32, Resulting Numbers: [6, 2, 32]
Generated Node #0,0: 88:[6, 2, 32] Operation: 70-38=32
Exploring Operation: 70/2=35, Resulting Numbers: [6, 38, 35]
Generated Node #0,1: 88:[6, 38, 35] Operation: 70/2=35
Moving to Node #0,0
Current State: 88:[6, 2, 32], Operations: ['70-38=32']
Exploring Operation: 6+32=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 88:[2, 38] Operation: 6+32=38
Exploring Operation: 32-6=26, Resulting Numbers: [2, 26]
Generated Node #0,0,1: 88:[2, 26] Operation: 32-6=26
Moving to Node #0,1
Current State: 88:[6, 38, 35], Operations: ['70/2=35']
Exploring Operation: 38-35=3, Resulting Numbers: [6, 3]
Generated Node #0,1,0: 88:[6, 3] Operation: 38-35=3
Exploring Operation: 6+38=44, Resulting Numbers: [35, 44]
Generated Node #0,1,1: 88:[35, 44] Operation: 6+38=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[6, 3], Operations: ['70/2=35', '38-35=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No 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: 88:[35, 44], Operations: ['70/2=35', '6+38=44']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 88:[2, 26], Operations: ['70-38=32', '32-6=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[2, 38], Operations: ['70-38=32', '6+32=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,88 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
38,
56,
42,
74
] | 88 | [
"42-38=4",
"56/4=14",
"74+14=88"
] | Current State: 88:[38, 56, 42, 74], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [56, 74, 4]
Generated Node #2: [56, 74, 4] from Operation: 42-38=4
Current State: 88:[56, 74, 4], Operations: ['42-38=4']
Exploring Operation: 56/4=14, Resulting Numbers: [74, 14]
Generated Node #3: [74, 14] from Operation: 56/4=14
Current State: 88:[74, 14], Operations: ['42-38=4', '56/4=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[38, 56, 42, 74], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [42, 74, 18]
Generated Node #0,0: 88:[42, 74, 18] Operation: 56-38=18
Exploring Operation: 38+56=94, Resulting Numbers: [42, 74, 94]
Generated Node #0,1: 88:[42, 74, 94] Operation: 38+56=94
Exploring Operation: 74-56=18, Resulting Numbers: [38, 42, 18]
Generated Node #0,2: 88:[38, 42, 18] Operation: 74-56=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[38, 42, 18], Operations: ['74-56=18']
Exploring Operation: 42-18=24, Resulting Numbers: [38, 24]
Generated Node #0,2,0: 88:[38, 24] Operation: 42-18=24
Exploring Operation: 42-38=4, Resulting Numbers: [18, 4]
Generated Node #0,2,1: 88:[18, 4] Operation: 42-38=4
Exploring Operation: 38-18=20, Resulting Numbers: [42, 20]
Generated Node #0,2,2: 88:[42, 20] Operation: 38-18=20
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 88:[18, 4], Operations: ['74-56=18', '42-38=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,88 unequal: No Solution
No 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: 88:[42, 20], Operations: ['74-56=18', '38-18=20']
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,88 unequal: No Solution
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,88 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,88 unequal: No Solution
No 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: 88:[38, 24], Operations: ['74-56=18', '42-18=24']
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,88 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,88 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,88 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[42, 74, 18], Operations: ['56-38=18']
Exploring Operation: 74-18=56, Resulting Numbers: [42, 56]
Generated Node #0,0,0: 88:[42, 56] Operation: 74-18=56
Exploring Operation: 74-42=32, Resulting Numbers: [18, 32]
Generated Node #0,0,1: 88:[18, 32] Operation: 74-42=32
Exploring Operation: 74+18=92, Resulting Numbers: [42, 92]
Generated Node #0,0,2: 88:[42, 92] Operation: 74+18=92
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[42, 92], Operations: ['56-38=18', '74+18=92']
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 42+92=134, Resulting Numbers: [134]
134,88 unequal: No Solution
Exploring Operation: 42*92=3864, Resulting Numbers: [3864]
3864,88 unequal: No Solution
No 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: 88:[42, 56], Operations: ['56-38=18', '74-18=56']
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,88 unequal: No Solution
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,88 unequal: No Solution
No 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: 88:[18, 32], Operations: ['56-38=18', '74-42=32']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 18*32=576, Resulting Numbers: [576]
576,88 unequal: No Solution
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,88 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[42, 74, 94], Operations: ['38+56=94']
Exploring Operation: 94-42=52, Resulting Numbers: [74, 52]
Generated Node #0,1,0: 88:[74, 52] Operation: 94-42=52
Exploring Operation: 94-74=20, Resulting Numbers: [42, 20]
Generated Node #0,1,1: 88:[42, 20] Operation: 94-74=20
Exploring Operation: 74-42=32, Resulting Numbers: [94, 32]
Generated Node #0,1,2: 88:[94, 32] Operation: 74-42=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[42, 20], Operations: ['38+56=94', '94-74=20']
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,88 unequal: No Solution
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,88 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,88 unequal: No Solution
No 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: 88:[94, 32], Operations: ['38+56=94', '74-42=32']
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,88 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,88 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,88 unequal: No Solution
No 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: 88:[74, 52], Operations: ['38+56=94', '94-42=52']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 74*52=3848, Resulting Numbers: [3848]
3848,88 unequal: No Solution
Exploring Operation: 74+52=126, Resulting Numbers: [126]
126,88 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_3 | mult_heuristic |
[
36,
10,
19,
98
] | 52 | [
"19*98=1862",
"10+1862=1872",
"1872/36=52"
] | Current State: 52:[36, 10, 19, 98], Operations: []
Exploring Operation: 19*98=1862, Resulting Numbers: [36, 10, 1862]
Generated Node #2: [36, 10, 1862] from Operation: 19*98=1862
Current State: 52:[36, 10, 1862], Operations: ['19*98=1862']
Exploring Operation: 10+1862=1872, Resulting Numbers: [36, 1872]
Generated Node #3: [36, 1872] from Operation: 10+1862=1872
Current State: 52:[36, 1872], Operations: ['19*98=1862', '10+1862=1872']
Exploring Operation: 1872/36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[36, 10, 19, 98], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [19, 98, 26]
Generated Node #0,0: 52:[19, 98, 26] Operation: 36-10=26
Exploring Operation: 98-10=88, Resulting Numbers: [36, 19, 88]
Generated Node #0,1: 52:[36, 19, 88] Operation: 98-10=88
Exploring Operation: 98-36=62, Resulting Numbers: [10, 19, 62]
Generated Node #0,2: 52:[10, 19, 62] Operation: 98-36=62
Exploring Operation: 98-19=79, Resulting Numbers: [36, 10, 79]
Generated Node #0,3: 52:[36, 10, 79] Operation: 98-19=79
Exploring Operation: 36+19=55, Resulting Numbers: [10, 98, 55]
Generated Node #0,4: 52:[10, 98, 55] Operation: 36+19=55
Moving to Node #0,2
Current State: 52:[10, 19, 62], Operations: ['98-36=62']
Exploring Operation: 62-10=52, Resulting Numbers: [19, 52]
Generated Node #0,2,0: 52:[19, 52] Operation: 62-10=52
Exploring Operation: 62-19=43, Resulting Numbers: [10, 43]
Generated Node #0,2,1: 52:[10, 43] Operation: 62-19=43
Exploring Operation: 10+19=29, Resulting Numbers: [62, 29]
Generated Node #0,2,2: 52:[62, 29] Operation: 10+19=29
Exploring Operation: 10+62=72, Resulting Numbers: [19, 72]
Generated Node #0,2,3: 52:[19, 72] Operation: 10+62=72
Exploring Operation: 19-10=9, Resulting Numbers: [62, 9]
Generated Node #0,2,4: 52:[62, 9] Operation: 19-10=9
Moving to Node #0,3
Current State: 52:[36, 10, 79], Operations: ['98-19=79']
Exploring Operation: 79-10=69, Resulting Numbers: [36, 69]
Generated Node #0,3,0: 52:[36, 69] Operation: 79-10=69
Exploring Operation: 36-10=26, Resulting Numbers: [79, 26]
Generated Node #0,3,1: 52:[79, 26] Operation: 36-10=26
Exploring Operation: 10+79=89, Resulting Numbers: [36, 89]
Generated Node #0,3,2: 52:[36, 89] Operation: 10+79=89
Exploring Operation: 79-36=43, Resulting Numbers: [10, 43]
Generated Node #0,3,3: 52:[10, 43] Operation: 79-36=43
Exploring Operation: 36+10=46, Resulting Numbers: [79, 46]
Generated Node #0,3,4: 52:[79, 46] Operation: 36+10=46
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[10, 43], Operations: ['98-19=79', '79-36=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,52 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[36, 69], Operations: ['98-19=79', '79-10=69']
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,52 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[79, 26], Operations: ['98-19=79', '36-10=26']
Exploring Operation: 79+26=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Exploring Operation: 79*26=2054, Resulting Numbers: [2054]
2054,52 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 52:[79, 46], Operations: ['98-19=79', '36+10=46']
Exploring Operation: 79-46=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 79*46=3634, Resulting Numbers: [3634]
3634,52 unequal: No Solution
Exploring Operation: 79+46=125, Resulting Numbers: [125]
125,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[36, 89], Operations: ['98-19=79', '10+79=89']
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,52 unequal: No Solution
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,52 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 52:[19, 98, 26], Operations: ['36-10=26']
Exploring Operation: 26-19=7, Resulting Numbers: [98, 7]
Generated Node #0,0,0: 52:[98, 7] Operation: 26-19=7
Exploring Operation: 98-19=79, Resulting Numbers: [26, 79]
Generated Node #0,0,1: 52:[26, 79] Operation: 98-19=79
Exploring Operation: 19+98=117, Resulting Numbers: [26, 117]
Generated Node #0,0,2: 52:[26, 117] Operation: 19+98=117
Exploring Operation: 19+26=45, Resulting Numbers: [98, 45]
Generated Node #0,0,3: 52:[98, 45] Operation: 19+26=45
Exploring Operation: 98-26=72, Resulting Numbers: [19, 72]
Generated Node #0,0,4: 52:[19, 72] Operation: 98-26=72
Moving to Node #0,1
Current State: 52:[36, 19, 88], Operations: ['98-10=88']
Exploring Operation: 19+88=107, Resulting Numbers: [36, 107]
Generated Node #0,1,0: 52:[36, 107] Operation: 19+88=107
Exploring Operation: 88-36=52, Resulting Numbers: [19, 52]
Generated Node #0,1,1: 52:[19, 52] Operation: 88-36=52
Exploring Operation: 36-19=17, Resulting Numbers: [88, 17]
Generated Node #0,1,2: 52:[88, 17] Operation: 36-19=17
Exploring Operation: 88-19=69, Resulting Numbers: [36, 69]
Generated Node #0,1,3: 52:[36, 69] Operation: 88-19=69
Exploring Operation: 36+19=55, Resulting Numbers: [88, 55]
Generated Node #0,1,4: 52:[88, 55] Operation: 36+19=55
Moving to Node #0,4
Current State: 52:[10, 98, 55], Operations: ['36+19=55']
Exploring Operation: 55-10=45, Resulting Numbers: [98, 45]
Generated Node #0,4,0: 52:[98, 45] Operation: 55-10=45
Exploring Operation: 10+98=108, Resulting Numbers: [55, 108]
Generated Node #0,4,1: 52:[55, 108] Operation: 10+98=108
Exploring Operation: 10+55=65, Resulting Numbers: [98, 65]
Generated Node #0,4,2: 52:[98, 65] Operation: 10+55=65
Exploring Operation: 98-55=43, Resulting Numbers: [10, 43]
Generated Node #0,4,3: 52:[10, 43] Operation: 98-55=43
Exploring Operation: 98-10=88, Resulting Numbers: [55, 88]
Generated Node #0,4,4: 52:[55, 88] Operation: 98-10=88
Moving to Node #0,2,0
Current State: 52:[19, 52], Operations: ['98-36=62', '62-10=52']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[19, 52], Operations: ['98-10=88', '88-36=52']
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[10, 43], Operations: ['98-36=62', '62-19=43']
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,52 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[10, 43], Operations: ['36+19=55', '98-55=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,52 unequal: No Solution
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[62, 29], Operations: ['98-36=62', '10+19=29']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,52 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[62, 9], Operations: ['98-36=62', '19-10=9']
Exploring Operation: 62*9=558, Resulting Numbers: [558]
558,52 unequal: No Solution
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[19, 72], Operations: ['36-10=26', '98-26=72']
Exploring Operation: 19+72=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 19*72=1368, Resulting Numbers: [1368]
1368,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[19, 72], Operations: ['98-36=62', '10+62=72']
Exploring Operation: 19+72=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 19*72=1368, Resulting Numbers: [1368]
1368,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[26, 79], Operations: ['36-10=26', '98-19=79']
Exploring Operation: 26+79=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 26*79=2054, Resulting Numbers: [2054]
2054,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[36, 69], Operations: ['98-10=88', '88-19=69']
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,52 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Moving to Node #0,1,4
Current State: 52:[88, 55], Operations: ['98-10=88', '36+19=55']
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 88*55=4840, Resulting Numbers: [4840]
4840,52 unequal: No Solution
Exploring Operation: 88+55=143, Resulting Numbers: [143]
143,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[55, 88], Operations: ['36+19=55', '98-10=88']
Exploring Operation: 55+88=143, Resulting Numbers: [143]
143,52 unequal: No Solution
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 55*88=4840, Resulting Numbers: [4840]
4840,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[88, 17], Operations: ['98-10=88', '36-19=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 88*17=1496, Resulting Numbers: [1496]
1496,52 unequal: No Solution
Exploring Operation: 88+17=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[98, 7], Operations: ['36-10=26', '26-19=7']
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Exploring Operation: 98*7=686, Resulting Numbers: [686]
686,52 unequal: No Solution
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[98, 45], Operations: ['36+19=55', '55-10=45']
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 98+45=143, Resulting Numbers: [143]
143,52 unequal: No Solution
Exploring Operation: 98*45=4410, Resulting Numbers: [4410]
4410,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[98, 45], Operations: ['36-10=26', '19+26=45']
Exploring Operation: 98*45=4410, Resulting Numbers: [4410]
4410,52 unequal: No Solution
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 98+45=143, Resulting Numbers: [143]
143,52 unequal: No Solution
Moving to Node #0,4,1
Current State: 52:[55, 108], Operations: ['36+19=55', '10+98=108']
Exploring Operation: 55*108=5940, Resulting Numbers: [5940]
5940,52 unequal: No Solution
Exploring Operation: 108-55=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 55+108=163, Resulting Numbers: [163]
163,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[98, 65], Operations: ['36+19=55', '10+55=65']
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 98*65=6370, Resulting Numbers: [6370]
6370,52 unequal: No Solution
Exploring Operation: 98+65=163, Resulting Numbers: [163]
163,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[26, 117], Operations: ['36-10=26', '19+98=117']
Exploring Operation: 117-26=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Exploring Operation: 26*117=3042, Resulting Numbers: [3042]
3042,52 unequal: No Solution
Exploring Operation: 26+117=143, Resulting Numbers: [143]
143,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[36, 107], Operations: ['98-10=88', '19+88=107']
Exploring Operation: 107-36=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 36*107=3852, Resulting Numbers: [3852]
3852,52 unequal: No Solution
Exploring Operation: 36+107=143, Resulting Numbers: [143]
143,52 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
6,
7,
28,
88
] | 74 | [
"6*7=42",
"28+88=116",
"116-42=74"
] | Current State: 74:[6, 7, 28, 88], Operations: []
Exploring Operation: 6*7=42, Resulting Numbers: [28, 88, 42]
Generated Node #2: [28, 88, 42] from Operation: 6*7=42
Current State: 74:[28, 88, 42], Operations: ['6*7=42']
Exploring Operation: 28+88=116, Resulting Numbers: [42, 116]
Generated Node #3: [42, 116] from Operation: 28+88=116
Current State: 74:[42, 116], Operations: ['6*7=42', '28+88=116']
Exploring Operation: 116-42=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[6, 7, 28, 88], Operations: []
Exploring Operation: 88-6=82, Resulting Numbers: [7, 28, 82]
Generated Node #0,0: 74:[7, 28, 82] Operation: 88-6=82
Exploring Operation: 7+28=35, Resulting Numbers: [6, 88, 35]
Generated Node #0,1: 74:[6, 88, 35] Operation: 7+28=35
Exploring Operation: 88-7=81, Resulting Numbers: [6, 28, 81]
Generated Node #0,2: 74:[6, 28, 81] Operation: 88-7=81
Exploring Operation: 6+28=34, Resulting Numbers: [7, 88, 34]
Generated Node #0,3: 74:[7, 88, 34] Operation: 6+28=34
Exploring Operation: 28/7=4, Resulting Numbers: [6, 88, 4]
Generated Node #0,4: 74:[6, 88, 4] Operation: 28/7=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[6, 88, 35], Operations: ['7+28=35']
Exploring Operation: 35-6=29, Resulting Numbers: [88, 29]
Generated Node #0,1,0: 74:[88, 29] Operation: 35-6=29
Exploring Operation: 6+88=94, Resulting Numbers: [35, 94]
Generated Node #0,1,1: 74:[35, 94] Operation: 6+88=94
Exploring Operation: 6+35=41, Resulting Numbers: [88, 41]
Generated Node #0,1,2: 74:[88, 41] Operation: 6+35=41
Exploring Operation: 88-6=82, Resulting Numbers: [35, 82]
Generated Node #0,1,3: 74:[35, 82] Operation: 88-6=82
Exploring Operation: 88-35=53, Resulting Numbers: [6, 53]
Generated Node #0,1,4: 74:[6, 53] Operation: 88-35=53
Moving to Node #0,1,3
Current State: 74:[35, 82], Operations: ['7+28=35', '88-6=82']
Exploring Operation: 35+82=117, Resulting Numbers: [117]
117,74 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 35*82=2870, Resulting Numbers: [2870]
2870,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[88, 41], Operations: ['7+28=35', '6+35=41']
Exploring Operation: 88*41=3608, Resulting Numbers: [3608]
3608,74 unequal: No Solution
Exploring Operation: 88+41=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Moving to Node #0,1,4
Current State: 74:[6, 53], Operations: ['7+28=35', '88-35=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,74 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[88, 29], Operations: ['7+28=35', '35-6=29']
Exploring Operation: 88+29=117, Resulting Numbers: [117]
117,74 unequal: No Solution
Exploring Operation: 88*29=2552, Resulting Numbers: [2552]
2552,74 unequal: No Solution
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[35, 94], Operations: ['7+28=35', '6+88=94']
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 35+94=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 35*94=3290, Resulting Numbers: [3290]
3290,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[6, 28, 81], Operations: ['88-7=81']
Exploring Operation: 81-28=53, Resulting Numbers: [6, 53]
Generated Node #0,2,0: 74:[6, 53] Operation: 81-28=53
Exploring Operation: 81-6=75, Resulting Numbers: [28, 75]
Generated Node #0,2,1: 74:[28, 75] Operation: 81-6=75
Exploring Operation: 6+28=34, Resulting Numbers: [81, 34]
Generated Node #0,2,2: 74:[81, 34] Operation: 6+28=34
Exploring Operation: 6+81=87, Resulting Numbers: [28, 87]
Generated Node #0,2,3: 74:[28, 87] Operation: 6+81=87
Exploring Operation: 28-6=22, Resulting Numbers: [81, 22]
Generated Node #0,2,4: 74:[81, 22] Operation: 28-6=22
Moving to Node #0,2,1
Current State: 74:[28, 75], Operations: ['88-7=81', '81-6=75']
Exploring Operation: 28+75=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 28*75=2100, Resulting Numbers: [2100]
2100,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[81, 34], Operations: ['88-7=81', '6+28=34']
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,74 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[6, 53], Operations: ['88-7=81', '81-28=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,74 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[28, 87], Operations: ['88-7=81', '6+81=87']
Exploring Operation: 28*87=2436, Resulting Numbers: [2436]
2436,74 unequal: No Solution
Exploring Operation: 28+87=115, Resulting Numbers: [115]
115,74 unequal: No Solution
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,2,4
Current State: 74:[81, 22], Operations: ['88-7=81', '28-6=22']
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,74 unequal: No Solution
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 74:[6, 88, 4], Operations: ['28/7=4']
Exploring Operation: 6-4=2, Resulting Numbers: [88, 2]
Generated Node #0,4,0: 74:[88, 2] Operation: 6-4=2
Exploring Operation: 88/4=22, Resulting Numbers: [6, 22]
Generated Node #0,4,1: 74:[6, 22] Operation: 88/4=22
Exploring Operation: 88-4=84, Resulting Numbers: [6, 84]
Generated Node #0,4,2: 74:[6, 84] Operation: 88-4=84
Exploring Operation: 88-6=82, Resulting Numbers: [4, 82]
Generated Node #0,4,3: 74:[4, 82] Operation: 88-6=82
Exploring Operation: 6+88=94, Resulting Numbers: [4, 94]
Generated Node #0,4,4: 74:[4, 94] Operation: 6+88=94
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 74:[4, 82], Operations: ['28/7=4', '88-6=82']
Exploring Operation: 4*82=328, Resulting Numbers: [328]
328,74 unequal: No Solution
Exploring Operation: 4+82=86, Resulting Numbers: [86]
86,74 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,74 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 #0,4,0
Current State: 74:[88, 2], Operations: ['28/7=4', '6-4=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,74 unequal: No Solution
Exploring Operation: 88*2=176, Resulting Numbers: [176]
176,74 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,74 unequal: No Solution
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,74 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 #0,4,2
Current State: 74:[6, 84], Operations: ['28/7=4', '88-4=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Exploring Operation: 6*84=504, Resulting Numbers: [504]
504,74 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 #0,4,1
Current State: 74:[6, 22], Operations: ['28/7=4', '88/4=22']
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,74 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 #0,4,4
Current State: 74:[4, 94], Operations: ['28/7=4', '6+88=94']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,74 unequal: No Solution
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,74 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:[7, 28, 82], Operations: ['88-6=82']
Exploring Operation: 82-7=75, Resulting Numbers: [28, 75]
Generated Node #0,0,0: 74:[28, 75] Operation: 82-7=75
Exploring Operation: 82-28=54, Resulting Numbers: [7, 54]
Generated Node #0,0,1: 74:[7, 54] Operation: 82-28=54
Exploring Operation: 28/7=4, Resulting Numbers: [82, 4]
Generated Node #0,0,2: 74:[82, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [82, 21]
Generated Node #0,0,3: 74:[82, 21] Operation: 28-7=21
Exploring Operation: 7+28=35, Resulting Numbers: [82, 35]
Generated Node #0,0,4: 74:[82, 35] Operation: 7+28=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[28, 75], Operations: ['88-6=82', '82-7=75']
Exploring Operation: 28*75=2100, Resulting Numbers: [2100]
2100,74 unequal: No Solution
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 28+75=103, Resulting Numbers: [103]
103,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[82, 4], Operations: ['88-6=82', '28/7=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,74 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 74:[82, 35], Operations: ['88-6=82', '7+28=35']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,74 unequal: No Solution
Exploring Operation: 82*35=2870, Resulting Numbers: [2870]
2870,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[7, 54], Operations: ['88-6=82', '82-28=54']
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,74 unequal: No Solution
Exploring Operation: 7*54=378, Resulting Numbers: [378]
378,74 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[82, 21], Operations: ['88-6=82', '28-7=21']
Exploring Operation: 82*21=1722, Resulting Numbers: [1722]
1722,74 unequal: No Solution
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,74 unequal: No Solution
Exploring Operation: 82+21=103, Resulting Numbers: [103]
103,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[7, 88, 34], Operations: ['6+28=34']
Exploring Operation: 7+34=41, Resulting Numbers: [88, 41]
Generated Node #0,3,0: 74:[88, 41] Operation: 7+34=41
Exploring Operation: 88-34=54, Resulting Numbers: [7, 54]
Generated Node #0,3,1: 74:[7, 54] Operation: 88-34=54
Exploring Operation: 88-7=81, Resulting Numbers: [34, 81]
Generated Node #0,3,2: 74:[34, 81] Operation: 88-7=81
Exploring Operation: 7+88=95, Resulting Numbers: [34, 95]
Generated Node #0,3,3: 74:[34, 95] Operation: 7+88=95
Exploring Operation: 34-7=27, Resulting Numbers: [88, 27]
Generated Node #0,3,4: 74:[88, 27] Operation: 34-7=27
Moving to Node #0,3,2
Current State: 74:[34, 81], Operations: ['6+28=34', '88-7=81']
Exploring Operation: 34+81=115, Resulting Numbers: [115]
115,74 unequal: No Solution
Exploring Operation: 34*81=2754, Resulting Numbers: [2754]
2754,74 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[88, 41], Operations: ['6+28=34', '7+34=41']
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 88+41=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 88*41=3608, Resulting Numbers: [3608]
3608,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[7, 54], Operations: ['6+28=34', '88-34=54']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,74 unequal: No Solution
Exploring Operation: 7*54=378, Resulting Numbers: [378]
378,74 unequal: No Solution
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,74 unequal: No Solution
Moving to Node #0,3,3
Current State: 74:[34, 95], Operations: ['6+28=34', '7+88=95']
Exploring Operation: 34*95=3230, Resulting Numbers: [3230]
3230,74 unequal: No Solution
Exploring Operation: 34+95=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,74 unequal: No Solution
Moving to Node #0,3,4
Current State: 74:[88, 27], Operations: ['6+28=34', '34-7=27']
Exploring Operation: 88*27=2376, Resulting Numbers: [2376]
2376,74 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,74 unequal: No Solution
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,74 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 |
[
98,
28,
85,
46
] | 76 | [
"98*46=4508",
"4508/28=161",
"161-85=76"
] | Current State: 76:[98, 28, 85, 46], Operations: []
Exploring Operation: 98*46=4508, Resulting Numbers: [28, 85, 4508]
Generated Node #2: [28, 85, 4508] from Operation: 98*46=4508
Current State: 76:[28, 85, 4508], Operations: ['98*46=4508']
Exploring Operation: 4508/28=161, Resulting Numbers: [85, 161]
Generated Node #3: [85, 161] from Operation: 4508/28=161
Current State: 76:[85, 161], Operations: ['98*46=4508', '4508/28=161']
Exploring Operation: 161-85=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[98, 28, 85, 46], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [85, 46, 70]
Generated Node #0,0: 76:[85, 46, 70] Operation: 98-28=70
Moving to Node #0,0
Current State: 76:[85, 46, 70], Operations: ['98-28=70']
Exploring Operation: 85-46=39, Resulting Numbers: [70, 39]
Generated Node #0,0,0: 76:[70, 39] Operation: 85-46=39
Moving to Node #0,0,0
Current State: 76:[70, 39], Operations: ['98-28=70', '85-46=39']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,76 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
64,
96,
40,
2
] | 37 | [
"64/2=32",
"96/32=3",
"40-3=37"
] | Current State: 37:[64, 96, 40, 2], Operations: []
Exploring Operation: 64/2=32, Resulting Numbers: [96, 40, 32]
Generated Node #2: [96, 40, 32] from Operation: 64/2=32
Current State: 37:[96, 40, 32], Operations: ['64/2=32']
Exploring Operation: 96/32=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 96/32=3
Current State: 37:[40, 3], Operations: ['64/2=32', '96/32=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[64, 96, 40, 2], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [64, 40, 48]
Generated Node #0,0: 37:[64, 40, 48] Operation: 96/2=48
Exploring Operation: 96-64=32, Resulting Numbers: [40, 2, 32]
Generated Node #0,1: 37:[40, 2, 32] Operation: 96-64=32
Moving to Node #0,0
Current State: 37:[64, 40, 48], Operations: ['96/2=48']
Exploring Operation: 64-48=16, Resulting Numbers: [40, 16]
Generated Node #0,0,0: 37:[40, 16] Operation: 64-48=16
Exploring Operation: 64-40=24, Resulting Numbers: [48, 24]
Generated Node #0,0,1: 37:[48, 24] Operation: 64-40=24
Moving to Node #0,1
Current State: 37:[40, 2, 32], Operations: ['96-64=32']
Exploring Operation: 40-2=38, Resulting Numbers: [32, 38]
Generated Node #0,1,0: 37:[32, 38] Operation: 40-2=38
Exploring Operation: 2+32=34, Resulting Numbers: [40, 34]
Generated Node #0,1,1: 37:[40, 34] Operation: 2+32=34
Moving to Node #0,1,0
Current State: 37:[32, 38], Operations: ['96-64=32', '40-2=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[40, 34], Operations: ['96-64=32', '2+32=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[48, 24], Operations: ['96/2=48', '64-40=24']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 48+24=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[40, 16], Operations: ['96/2=48', '64-48=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,37 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
68,
32,
4,
6
] | 36 | [
"32-6=26",
"4*26=104",
"104-68=36"
] | Current State: 36:[68, 32, 4, 6], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [68, 4, 26]
Generated Node #2: [68, 4, 26] from Operation: 32-6=26
Current State: 36:[68, 4, 26], Operations: ['32-6=26']
Exploring Operation: 4*26=104, Resulting Numbers: [68, 104]
Generated Node #3: [68, 104] from Operation: 4*26=104
Current State: 36:[68, 104], Operations: ['32-6=26', '4*26=104']
Exploring Operation: 104-68=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[68, 32, 4, 6], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [32, 6, 17]
Generated Node #0,0: 36:[32, 6, 17] Operation: 68/4=17
Exploring Operation: 68-32=36, Resulting Numbers: [4, 6, 36]
Generated Node #0,1: 36:[4, 6, 36] Operation: 68-32=36
Exploring Operation: 68-6=62, Resulting Numbers: [32, 4, 62]
Generated Node #0,2: 36:[32, 4, 62] Operation: 68-6=62
Moving to Node #0,1
Current State: 36:[4, 6, 36], Operations: ['68-32=36']
Exploring Operation: 36/4=9, Resulting Numbers: [6, 9]
Generated Node #0,1,0: 36:[6, 9] Operation: 36/4=9
Exploring Operation: 6-4=2, Resulting Numbers: [36, 2]
Generated Node #0,1,1: 36:[36, 2] Operation: 6-4=2
Exploring Operation: 36/6=6, Resulting Numbers: [4, 6]
Generated Node #0,1,2: 36:[4, 6] Operation: 36/6=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[6, 9], Operations: ['68-32=36', '36/4=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[36, 2], Operations: ['68-32=36', '6-4=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[4, 6], Operations: ['68-32=36', '36/6=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[32, 6, 17], Operations: ['68/4=17']
Exploring Operation: 32+6=38, Resulting Numbers: [17, 38]
Generated Node #0,0,0: 36:[17, 38] Operation: 32+6=38
Exploring Operation: 17-6=11, Resulting Numbers: [32, 11]
Generated Node #0,0,1: 36:[32, 11] Operation: 17-6=11
Exploring Operation: 32-17=15, Resulting Numbers: [6, 15]
Generated Node #0,0,2: 36:[6, 15] Operation: 32-17=15
Moving to Node #0,2
Current State: 36:[32, 4, 62], Operations: ['68-6=62']
Exploring Operation: 32+4=36, Resulting Numbers: [62, 36]
Generated Node #0,2,0: 36:[62, 36] Operation: 32+4=36
Exploring Operation: 62-4=58, Resulting Numbers: [32, 58]
Generated Node #0,2,1: 36:[32, 58] Operation: 62-4=58
Exploring Operation: 62-32=30, Resulting Numbers: [4, 30]
Generated Node #0,2,2: 36:[4, 30] Operation: 62-32=30
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[4, 30], Operations: ['68-6=62', '62-32=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,36 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[62, 36], Operations: ['68-6=62', '32+4=36']
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,36 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[32, 58], Operations: ['68-6=62', '62-4=58']
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,36 unequal: No Solution
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,36 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: 36:[17, 38], Operations: ['68/4=17', '32+6=38']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[6, 15], Operations: ['68/4=17', '32-17=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[32, 11], Operations: ['68/4=17', '17-6=11']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,36 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
28,
64,
42,
40
] | 56 | [
"64*42=2688",
"2688/28=96",
"96-40=56"
] | Current State: 56:[28, 64, 42, 40], Operations: []
Exploring Operation: 64*42=2688, Resulting Numbers: [28, 40, 2688]
Generated Node #2: [28, 40, 2688] from Operation: 64*42=2688
Current State: 56:[28, 40, 2688], Operations: ['64*42=2688']
Exploring Operation: 2688/28=96, Resulting Numbers: [40, 96]
Generated Node #3: [40, 96] from Operation: 2688/28=96
Current State: 56:[40, 96], Operations: ['64*42=2688', '2688/28=96']
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[28, 64, 42, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [28, 64, 2]
Generated Node #0,0: 56:[28, 64, 2] Operation: 42-40=2
Exploring Operation: 64-40=24, Resulting Numbers: [28, 42, 24]
Generated Node #0,1: 56:[28, 42, 24] Operation: 64-40=24
Exploring Operation: 64-42=22, Resulting Numbers: [28, 40, 22]
Generated Node #0,2: 56:[28, 40, 22] Operation: 64-42=22
Moving to Node #0,0
Current State: 56:[28, 64, 2], Operations: ['42-40=2']
Exploring Operation: 64-28=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 56:[2, 36] Operation: 64-28=36
Exploring Operation: 64-2=62, Resulting Numbers: [28, 62]
Generated Node #0,0,1: 56:[28, 62] Operation: 64-2=62
Exploring Operation: 64/2=32, Resulting Numbers: [28, 32]
Generated Node #0,0,2: 56:[28, 32] Operation: 64/2=32
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[28, 32], Operations: ['42-40=2', '64/2=32']
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 28*32=896, Resulting Numbers: [896]
896,56 unequal: No Solution
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,56 unequal: No Solution
No 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: 56:[28, 62], Operations: ['42-40=2', '64-2=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,56 unequal: No Solution
No 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: 56:[2, 36], Operations: ['42-40=2', '64-28=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,56 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: 56:[28, 42, 24], Operations: ['64-40=24']
Exploring Operation: 42+24=66, Resulting Numbers: [28, 66]
Generated Node #0,1,0: 56:[28, 66] Operation: 42+24=66
Exploring Operation: 42-28=14, Resulting Numbers: [24, 14]
Generated Node #0,1,1: 56:[24, 14] Operation: 42-28=14
Exploring Operation: 42-24=18, Resulting Numbers: [28, 18]
Generated Node #0,1,2: 56:[28, 18] Operation: 42-24=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[24, 14], Operations: ['64-40=24', '42-28=14']
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,56 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,56 unequal: No Solution
No 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: 56:[28, 18], Operations: ['64-40=24', '42-24=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,56 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,56 unequal: No Solution
No 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: 56:[28, 66], Operations: ['64-40=24', '42+24=66']
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,56 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,56 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: 56:[28, 40, 22], Operations: ['64-42=22']
Exploring Operation: 40+22=62, Resulting Numbers: [28, 62]
Generated Node #0,2,0: 56:[28, 62] Operation: 40+22=62
Exploring Operation: 40-22=18, Resulting Numbers: [28, 18]
Generated Node #0,2,1: 56:[28, 18] Operation: 40-22=18
Exploring Operation: 40-28=12, Resulting Numbers: [22, 12]
Generated Node #0,2,2: 56:[22, 12] Operation: 40-28=12
Moving to Node #0,2,1
Current State: 56:[28, 18], Operations: ['64-42=22', '40-22=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,56 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[28, 62], Operations: ['64-42=22', '40+22=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[22, 12], Operations: ['64-42=22', '40-28=12']
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,56 unequal: No Solution
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,56 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
40,
42,
64,
30
] | 98 | [
"42-40=2",
"64*2=128",
"128-30=98"
] | Current State: 98:[40, 42, 64, 30], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [64, 30, 2]
Generated Node #2: [64, 30, 2] from Operation: 42-40=2
Current State: 98:[64, 30, 2], Operations: ['42-40=2']
Exploring Operation: 64*2=128, Resulting Numbers: [30, 128]
Generated Node #3: [30, 128] from Operation: 64*2=128
Current State: 98:[30, 128], Operations: ['42-40=2', '64*2=128']
Exploring Operation: 128-30=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[40, 42, 64, 30], Operations: []
Exploring Operation: 64+30=94, Resulting Numbers: [40, 42, 94]
Generated Node #0,0: 98:[40, 42, 94] Operation: 64+30=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[40, 42, 94], Operations: ['64+30=94']
Exploring Operation: 42-40=2, Resulting Numbers: [94, 2]
Generated Node #0,0,0: 98:[94, 2] Operation: 42-40=2
Moving to Node #0,0,0
Current State: 98:[94, 2], Operations: ['64+30=94', '42-40=2']
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
88,
17,
88,
7
] | 24 | [
"88+17=105",
"88-7=81",
"105-81=24"
] | Current State: 24:[88, 17, 88, 7], Operations: []
Exploring Operation: 88+17=105, Resulting Numbers: [7, 105]
Generated Node #2: [7, 105] from Operation: 88+17=105
Current State: 24:[7, 105], Operations: ['88+17=105']
Exploring Operation: 88-7=81, Resulting Numbers: [105, 81]
Generated Node #3: [105, 81] from Operation: 88-7=81
Current State: 24:[105, 81], Operations: ['88+17=105', '88-7=81']
Exploring Operation: 105-81=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[88, 17, 88, 7], Operations: []
Exploring Operation: 88/88=1, Resulting Numbers: [17, 7, 1]
Generated Node #0,0: 24:[17, 7, 1] Operation: 88/88=1
Moving to Node #0,0
Current State: 24:[17, 7, 1], Operations: ['88/88=1']
Exploring Operation: 17+7=24, Resulting Numbers: [1, 24]
Generated Node #0,0,0: 24:[1, 24] Operation: 17+7=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[1, 24], Operations: ['88/88=1', '17+7=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[88, 17, 88, 7], Operations: []
Exploring Operation: 88/88=1, Resulting Numbers: [17, 7, 1]
Generated Node #0,0: 24:[17, 7, 1] Operation: 88/88=1
Moving to Node #0,0
Current State: 24:[17, 7, 1], Operations: ['88/88=1']
Exploring Operation: 17+7=24, Resulting Numbers: [1, 24]
Generated Node #0,0,0: 24:[1, 24] Operation: 17+7=24
Moving to Node #0,0,0
Current State: 24:[1, 24], Operations: ['88/88=1', '17+7=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
31,
25,
79,
50
] | 85 | [
"31+25=56",
"79-50=29",
"56+29=85"
] | Current State: 85:[31, 25, 79, 50], Operations: []
Exploring Operation: 31+25=56, Resulting Numbers: [79, 50, 56]
Generated Node #2: [79, 50, 56] from Operation: 31+25=56
Current State: 85:[79, 50, 56], Operations: ['31+25=56']
Exploring Operation: 79-50=29, Resulting Numbers: [56, 29]
Generated Node #3: [56, 29] from Operation: 79-50=29
Current State: 85:[56, 29], Operations: ['31+25=56', '79-50=29']
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[31, 25, 79, 50], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [25, 79, 19]
Generated Node #0,0: 85:[25, 79, 19] Operation: 50-31=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[25, 79, 19], Operations: ['50-31=19']
Exploring Operation: 25-19=6, Resulting Numbers: [79, 6]
Generated Node #0,0,0: 85:[79, 6] Operation: 25-19=6
Moving to Node #0,0,0
Current State: 85:[79, 6], Operations: ['50-31=19', '25-19=6']
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[31, 25, 79, 50], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [25, 79, 19]
Generated Node #0,0: 85:[25, 79, 19] Operation: 50-31=19
Moving to Node #0,0
Current State: 85:[25, 79, 19], Operations: ['50-31=19']
Exploring Operation: 25-19=6, Resulting Numbers: [79, 6]
Generated Node #0,0,0: 85:[79, 6] Operation: 25-19=6
Moving to Node #0,0,0
Current State: 85:[79, 6], Operations: ['50-31=19', '25-19=6']
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
71,
15,
62,
66
] | 11 | [
"71-15=56",
"62-56=6",
"66/6=11"
] | Current State: 11:[71, 15, 62, 66], Operations: []
Exploring Operation: 71-15=56, Resulting Numbers: [62, 66, 56]
Generated Node #2: [62, 66, 56] from Operation: 71-15=56
Current State: 11:[62, 66, 56], Operations: ['71-15=56']
Exploring Operation: 62-56=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 62-56=6
Current State: 11:[66, 6], Operations: ['71-15=56', '62-56=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[71, 15, 62, 66], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [15, 66, 9]
Generated Node #0,0: 11:[15, 66, 9] Operation: 71-62=9
Exploring Operation: 71-66=5, Resulting Numbers: [15, 62, 5]
Generated Node #0,1: 11:[15, 62, 5] Operation: 71-66=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[15, 66, 9], Operations: ['71-62=9']
Exploring Operation: 66-15=51, Resulting Numbers: [9, 51]
Generated Node #0,0,0: 11:[9, 51] Operation: 66-15=51
Exploring Operation: 66-9=57, Resulting Numbers: [15, 57]
Generated Node #0,0,1: 11:[15, 57] Operation: 66-9=57
Moving to Node #0,0,0
Current State: 11:[9, 51], Operations: ['71-62=9', '66-15=51']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[15, 57], Operations: ['71-62=9', '66-9=57']
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 57-15=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
Current State: 11:[15, 62, 5], Operations: ['71-66=5']
Exploring Operation: 62-5=57, Resulting Numbers: [15, 57]
Generated Node #0,1,0: 11:[15, 57] Operation: 62-5=57
Exploring Operation: 62-15=47, Resulting Numbers: [5, 47]
Generated Node #0,1,1: 11:[5, 47] Operation: 62-15=47
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[5, 47], Operations: ['71-66=5', '62-15=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[15, 57], Operations: ['71-66=5', '62-5=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
61,
12,
47
] | 60 | [
"61+12=73",
"47+73=120",
"120/2=60"
] | Current State: 60:[2, 61, 12, 47], Operations: []
Exploring Operation: 61+12=73, Resulting Numbers: [2, 47, 73]
Generated Node #2: [2, 47, 73] from Operation: 61+12=73
Current State: 60:[2, 47, 73], Operations: ['61+12=73']
Exploring Operation: 47+73=120, Resulting Numbers: [2, 120]
Generated Node #3: [2, 120] from Operation: 47+73=120
Current State: 60:[2, 120], Operations: ['61+12=73', '47+73=120']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[2, 61, 12, 47], Operations: []
Exploring Operation: 2+47=49, Resulting Numbers: [61, 12, 49]
Generated Node #0,0: 60:[61, 12, 49] Operation: 2+47=49
Exploring Operation: 12+47=59, Resulting Numbers: [2, 61, 59]
Generated Node #0,1: 60:[2, 61, 59] Operation: 12+47=59
Exploring Operation: 47-12=35, Resulting Numbers: [2, 61, 35]
Generated Node #0,2: 60:[2, 61, 35] Operation: 47-12=35
Exploring Operation: 61-47=14, Resulting Numbers: [2, 12, 14]
Generated Node #0,3: 60:[2, 12, 14] Operation: 61-47=14
Exploring Operation: 61-2=59, Resulting Numbers: [12, 47, 59]
Generated Node #0,4: 60:[12, 47, 59] Operation: 61-2=59
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[2, 12, 14], Operations: ['61-47=14']
Exploring Operation: 12/2=6, Resulting Numbers: [14, 6]
Generated Node #0,3,0: 60:[14, 6] Operation: 12/2=6
Exploring Operation: 14-2=12, Resulting Numbers: [12, 12]
Generated Node #0,3,1: 60:[12, 12] Operation: 14-2=12
Exploring Operation: 12-2=10, Resulting Numbers: [14, 10]
Generated Node #0,3,2: 60:[14, 10] Operation: 12-2=10
Exploring Operation: 14-12=2, Resulting Numbers: [2, 2]
Generated Node #0,3,3: 60:[2, 2] Operation: 14-12=2
Exploring Operation: 2+14=16, Resulting Numbers: [12, 16]
Generated Node #0,3,4: 60:[12, 16] Operation: 2+14=16
Moving to Node #0,3,1
Current State: 60:[12, 12], Operations: ['61-47=14', '14-2=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,60 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[2, 2], Operations: ['61-47=14', '14-12=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[14, 6], Operations: ['61-47=14', '12/2=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[14, 10], Operations: ['61-47=14', '12-2=10']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,60 unequal: No Solution
Moving to Node #0,3,4
Current State: 60:[12, 16], Operations: ['61-47=14', '2+14=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,60 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[2, 61, 59], Operations: ['12+47=59']
Exploring Operation: 2+61=63, Resulting Numbers: [59, 63]
Generated Node #0,1,0: 60:[59, 63] Operation: 2+61=63
Exploring Operation: 59-2=57, Resulting Numbers: [61, 57]
Generated Node #0,1,1: 60:[61, 57] Operation: 59-2=57
Exploring Operation: 61-2=59, Resulting Numbers: [59, 59]
Generated Node #0,1,2: 60:[59, 59] Operation: 61-2=59
Exploring Operation: 2+59=61, Resulting Numbers: [61, 61]
Generated Node #0,1,3: 60:[61, 61] Operation: 2+59=61
Exploring Operation: 61-59=2, Resulting Numbers: [2, 2]
Generated Node #0,1,4: 60:[2, 2] Operation: 61-59=2
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 60:[2, 2], Operations: ['12+47=59', '61-59=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[59, 59], Operations: ['12+47=59', '61-2=59']
Exploring Operation: 59+59=118, Resulting Numbers: [118]
118,60 unequal: No Solution
Exploring Operation: 59/59=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 59*59=3481, Resulting Numbers: [3481]
3481,60 unequal: No Solution
Exploring Operation: 59-59=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 60:[61, 61], Operations: ['12+47=59', '2+59=61']
Exploring Operation: 61+61=122, Resulting Numbers: [122]
122,60 unequal: No Solution
Exploring Operation: 61*61=3721, Resulting Numbers: [3721]
3721,60 unequal: No Solution
Exploring Operation: 61/61=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 61-61=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[59, 63], Operations: ['12+47=59', '2+61=63']
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,60 unequal: No Solution
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[61, 57], Operations: ['12+47=59', '59-2=57']
Exploring Operation: 61*57=3477, Resulting Numbers: [3477]
3477,60 unequal: No Solution
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 61+57=118, Resulting Numbers: [118]
118,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[2, 61, 35], Operations: ['47-12=35']
Exploring Operation: 35-2=33, Resulting Numbers: [61, 33]
Generated Node #0,2,0: 60:[61, 33] Operation: 35-2=33
Exploring Operation: 61-35=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 60:[2, 26] Operation: 61-35=26
Exploring Operation: 2+61=63, Resulting Numbers: [35, 63]
Generated Node #0,2,2: 60:[35, 63] Operation: 2+61=63
Exploring Operation: 2+35=37, Resulting Numbers: [61, 37]
Generated Node #0,2,3: 60:[61, 37] Operation: 2+35=37
Exploring Operation: 61-2=59, Resulting Numbers: [35, 59]
Generated Node #0,2,4: 60:[35, 59] Operation: 61-2=59
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[61, 33], Operations: ['47-12=35', '35-2=33']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 61*33=2013, Resulting Numbers: [2013]
2013,60 unequal: No Solution
Exploring Operation: 61+33=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[2, 26], Operations: ['47-12=35', '61-35=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 60:[35, 59], Operations: ['47-12=35', '61-2=59']
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 35*59=2065, Resulting Numbers: [2065]
2065,60 unequal: No Solution
Exploring Operation: 35+59=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[35, 63], Operations: ['47-12=35', '2+61=63']
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,60 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,60 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 60:[61, 37], Operations: ['47-12=35', '2+35=37']
Exploring Operation: 61*37=2257, Resulting Numbers: [2257]
2257,60 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[61, 12, 49], Operations: ['2+47=49']
Exploring Operation: 12+49=61, Resulting Numbers: [61, 61]
Generated Node #0,0,0: 60:[61, 61] Operation: 12+49=61
Exploring Operation: 61-12=49, Resulting Numbers: [49, 49]
Generated Node #0,0,1: 60:[49, 49] Operation: 61-12=49
Exploring Operation: 61+12=73, Resulting Numbers: [49, 73]
Generated Node #0,0,2: 60:[49, 73] Operation: 61+12=73
Exploring Operation: 49-12=37, Resulting Numbers: [61, 37]
Generated Node #0,0,3: 60:[61, 37] Operation: 49-12=37
Exploring Operation: 61-49=12, Resulting Numbers: [12, 12]
Generated Node #0,0,4: 60:[12, 12] Operation: 61-49=12
Moving to Node #0,0,4
Current State: 60:[12, 12], Operations: ['2+47=49', '61-49=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[61, 61], Operations: ['2+47=49', '12+49=61']
Exploring Operation: 61-61=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 61*61=3721, Resulting Numbers: [3721]
3721,60 unequal: No Solution
Exploring Operation: 61/61=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 61+61=122, Resulting Numbers: [122]
122,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[61, 37], Operations: ['2+47=49', '49-12=37']
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 61*37=2257, Resulting Numbers: [2257]
2257,60 unequal: No Solution
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[49, 49], Operations: ['2+47=49', '61-12=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,60 unequal: No Solution
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,60 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[49, 73], Operations: ['2+47=49', '61+12=73']
Exploring Operation: 49*73=3577, Resulting Numbers: [3577]
3577,60 unequal: No Solution
Exploring Operation: 49+73=122, Resulting Numbers: [122]
122,60 unequal: No Solution
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 60:[12, 47, 59], Operations: ['61-2=59']
Exploring Operation: 59-47=12, Resulting Numbers: [12, 12]
Generated Node #0,4,0: 60:[12, 12] Operation: 59-47=12
Exploring Operation: 12+59=71, Resulting Numbers: [47, 71]
Generated Node #0,4,1: 60:[47, 71] Operation: 12+59=71
Exploring Operation: 47-12=35, Resulting Numbers: [59, 35]
Generated Node #0,4,2: 60:[59, 35] Operation: 47-12=35
Exploring Operation: 59-12=47, Resulting Numbers: [47, 47]
Generated Node #0,4,3: 60:[47, 47] Operation: 59-12=47
Exploring Operation: 12+47=59, Resulting Numbers: [59, 59]
Generated Node #0,4,4: 60:[59, 59] Operation: 12+47=59
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 60:[12, 12], Operations: ['61-2=59', '59-47=12']
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,60 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 60:[59, 59], Operations: ['61-2=59', '12+47=59']
Exploring Operation: 59+59=118, Resulting Numbers: [118]
118,60 unequal: No Solution
Exploring Operation: 59*59=3481, Resulting Numbers: [3481]
3481,60 unequal: No Solution
Exploring Operation: 59-59=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 59/59=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 60:[59, 35], Operations: ['61-2=59', '47-12=35']
Exploring Operation: 59*35=2065, Resulting Numbers: [2065]
2065,60 unequal: No Solution
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 60:[47, 71], Operations: ['61-2=59', '12+59=71']
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 47*71=3337, Resulting Numbers: [3337]
3337,60 unequal: No Solution
Exploring Operation: 47+71=118, Resulting Numbers: [118]
118,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 60:[47, 47], Operations: ['61-2=59', '59-12=47']
Exploring Operation: 47-47=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 47/47=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 47*47=2209, Resulting Numbers: [2209]
2209,60 unequal: No Solution
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
7,
3,
34,
15
] | 68 | [
"7*15=105",
"3+34=37",
"105-37=68"
] | Current State: 68:[7, 3, 34, 15], Operations: []
Exploring Operation: 7*15=105, Resulting Numbers: [3, 34, 105]
Generated Node #2: [3, 34, 105] from Operation: 7*15=105
Current State: 68:[3, 34, 105], Operations: ['7*15=105']
Exploring Operation: 3+34=37, Resulting Numbers: [105, 37]
Generated Node #3: [105, 37] from Operation: 3+34=37
Current State: 68:[105, 37], Operations: ['7*15=105', '3+34=37']
Exploring Operation: 105-37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[7, 3, 34, 15], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [3, 34, 8]
Generated Node #0,0: 68:[3, 34, 8] Operation: 15-7=8
Exploring Operation: 3+15=18, Resulting Numbers: [7, 34, 18]
Generated Node #0,1: 68:[7, 34, 18] Operation: 3+15=18
Exploring Operation: 15/3=5, Resulting Numbers: [7, 34, 5]
Generated Node #0,2: 68:[7, 34, 5] Operation: 15/3=5
Exploring Operation: 7-3=4, Resulting Numbers: [34, 15, 4]
Generated Node #0,3: 68:[34, 15, 4] Operation: 7-3=4
Moving to Node #0,3
Current State: 68:[34, 15, 4], Operations: ['7-3=4']
Exploring Operation: 34-4=30, Resulting Numbers: [15, 30]
Generated Node #0,3,0: 68:[15, 30] Operation: 34-4=30
Exploring Operation: 34-15=19, Resulting Numbers: [4, 19]
Generated Node #0,3,1: 68:[4, 19] Operation: 34-15=19
Exploring Operation: 15+4=19, Resulting Numbers: [34, 19]
Generated Node #0,3,2: 68:[34, 19] Operation: 15+4=19
Exploring Operation: 34+4=38, Resulting Numbers: [15, 38]
Generated Node #0,3,3: 68:[15, 38] Operation: 34+4=38
Moving to Node #0,2
Current State: 68:[7, 34, 5], Operations: ['15/3=5']
Exploring Operation: 7+5=12, Resulting Numbers: [34, 12]
Generated Node #0,2,0: 68:[34, 12] Operation: 7+5=12
Exploring Operation: 7*5=35, Resulting Numbers: [34, 35]
Generated Node #0,2,1: 68:[34, 35] Operation: 7*5=35
Exploring Operation: 7-5=2, Resulting Numbers: [34, 2]
Generated Node #0,2,2: 68:[34, 2] Operation: 7-5=2
Exploring Operation: 7+34=41, Resulting Numbers: [5, 41]
Generated Node #0,2,3: 68:[5, 41] Operation: 7+34=41
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[34, 2], Operations: ['15/3=5', '7-5=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[7, 3, 34, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [7, 34, 5]
Generated Node #0,2: 68:[7, 34, 5] Operation: 15/3=5
Moving to Node #0,2
Current State: 68:[7, 34, 5], Operations: ['15/3=5']
Exploring Operation: 7-5=2, Resulting Numbers: [34, 2]
Generated Node #0,2,2: 68:[34, 2] Operation: 7-5=2
Moving to Node #0,2,2
Current State: 68:[34, 2], Operations: ['15/3=5', '7-5=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
81,
77,
40,
83
] | 73 | [
"81-77=4",
"40/4=10",
"83-10=73"
] | Current State: 73:[81, 77, 40, 83], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [40, 83, 4]
Generated Node #2: [40, 83, 4] from Operation: 81-77=4
Current State: 73:[40, 83, 4], Operations: ['81-77=4']
Exploring Operation: 40/4=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 40/4=10
Current State: 73:[83, 10], Operations: ['81-77=4', '40/4=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[81, 77, 40, 83], Operations: []
Exploring Operation: 83-40=43, Resulting Numbers: [81, 77, 43]
Generated Node #0,0: 73:[81, 77, 43] Operation: 83-40=43
Moving to Node #0,0
Current State: 73:[81, 77, 43], Operations: ['83-40=43']
Exploring Operation: 81-43=38, Resulting Numbers: [77, 38]
Generated Node #0,0,0: 73:[77, 38] Operation: 81-43=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[77, 38], Operations: ['83-40=43', '81-43=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,73 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 |
[
78,
12,
42,
76
] | 28 | [
"78+12=90",
"42+76=118",
"118-90=28"
] | Current State: 28:[78, 12, 42, 76], Operations: []
Exploring Operation: 78+12=90, Resulting Numbers: [42, 76, 90]
Generated Node #2: [42, 76, 90] from Operation: 78+12=90
Current State: 28:[42, 76, 90], Operations: ['78+12=90']
Exploring Operation: 42+76=118, Resulting Numbers: [90, 118]
Generated Node #3: [90, 118] from Operation: 42+76=118
Current State: 28:[90, 118], Operations: ['78+12=90', '42+76=118']
Exploring Operation: 118-90=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[78, 12, 42, 76], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [42, 76, 66]
Generated Node #0,0: 28:[42, 76, 66] Operation: 78-12=66
Exploring Operation: 78-76=2, Resulting Numbers: [12, 42, 2]
Generated Node #0,1: 28:[12, 42, 2] Operation: 78-76=2
Exploring Operation: 78-42=36, Resulting Numbers: [12, 76, 36]
Generated Node #0,2: 28:[12, 76, 36] Operation: 78-42=36
Exploring Operation: 76-42=34, Resulting Numbers: [78, 12, 34]
Generated Node #0,3: 28:[78, 12, 34] Operation: 76-42=34
Moving to Node #0,1
Current State: 28:[12, 42, 2], Operations: ['78-76=2']
Exploring Operation: 42-2=40, Resulting Numbers: [12, 40]
Generated Node #0,1,0: 28:[12, 40] Operation: 42-2=40
Exploring Operation: 42/2=21, Resulting Numbers: [12, 21]
Generated Node #0,1,1: 28:[12, 21] Operation: 42/2=21
Exploring Operation: 42-12=30, Resulting Numbers: [2, 30]
Generated Node #0,1,2: 28:[2, 30] Operation: 42-12=30
Exploring Operation: 12+2=14, Resulting Numbers: [42, 14]
Generated Node #0,1,3: 28:[42, 14] Operation: 12+2=14
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[2, 30], Operations: ['78-76=2', '42-12=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[78, 12, 42, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [12, 42, 2]
Generated Node #0,1: 28:[12, 42, 2] Operation: 78-76=2
Moving to Node #0,1
Current State: 28:[12, 42, 2], Operations: ['78-76=2']
Exploring Operation: 42-12=30, Resulting Numbers: [2, 30]
Generated Node #0,1,2: 28:[2, 30] Operation: 42-12=30
Moving to Node #0,1,2
Current State: 28:[2, 30], Operations: ['78-76=2', '42-12=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
74,
43,
40,
21
] | 56 | [
"74+43=117",
"40+21=61",
"117-61=56"
] | Current State: 56:[74, 43, 40, 21], Operations: []
Exploring Operation: 74+43=117, Resulting Numbers: [40, 21, 117]
Generated Node #2: [40, 21, 117] from Operation: 74+43=117
Current State: 56:[40, 21, 117], Operations: ['74+43=117']
Exploring Operation: 40+21=61, Resulting Numbers: [117, 61]
Generated Node #3: [117, 61] from Operation: 40+21=61
Current State: 56:[117, 61], Operations: ['74+43=117', '40+21=61']
Exploring Operation: 117-61=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[74, 43, 40, 21], Operations: []
Exploring Operation: 74-43=31, Resulting Numbers: [40, 21, 31]
Generated Node #0,0: 56:[40, 21, 31] Operation: 74-43=31
Exploring Operation: 74-40=34, Resulting Numbers: [43, 21, 34]
Generated Node #0,1: 56:[43, 21, 34] Operation: 74-40=34
Exploring Operation: 74-21=53, Resulting Numbers: [43, 40, 53]
Generated Node #0,2: 56:[43, 40, 53] Operation: 74-21=53
Exploring Operation: 43-40=3, Resulting Numbers: [74, 21, 3]
Generated Node #0,3: 56:[74, 21, 3] Operation: 43-40=3
Moving to Node #0,0
Current State: 56:[40, 21, 31], Operations: ['74-43=31']
Exploring Operation: 31-21=10, Resulting Numbers: [40, 10]
Generated Node #0,0,0: 56:[40, 10] Operation: 31-21=10
Exploring Operation: 40-31=9, Resulting Numbers: [21, 9]
Generated Node #0,0,1: 56:[21, 9] Operation: 40-31=9
Exploring Operation: 40+21=61, Resulting Numbers: [31, 61]
Generated Node #0,0,2: 56:[31, 61] Operation: 40+21=61
Exploring Operation: 40-21=19, Resulting Numbers: [31, 19]
Generated Node #0,0,3: 56:[31, 19] Operation: 40-21=19
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[21, 9], Operations: ['74-43=31', '40-31=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,56 unequal: No Solution
No 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: 56:[31, 61], Operations: ['74-43=31', '40+21=61']
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,56 unequal: No Solution
Exploring Operation: 31*61=1891, Resulting Numbers: [1891]
1891,56 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,56 unequal: No Solution
No 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: 56:[31, 19], Operations: ['74-43=31', '40-21=19']
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,56 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,56 unequal: No Solution
No 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: 56:[40, 10], Operations: ['74-43=31', '31-21=10']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,56 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: 56:[74, 21, 3], Operations: ['43-40=3']
Exploring Operation: 74-21=53, Resulting Numbers: [3, 53]
Generated Node #0,3,0: 56:[3, 53] Operation: 74-21=53
Exploring Operation: 21+3=24, Resulting Numbers: [74, 24]
Generated Node #0,3,1: 56:[74, 24] Operation: 21+3=24
Exploring Operation: 21/3=7, Resulting Numbers: [74, 7]
Generated Node #0,3,2: 56:[74, 7] Operation: 21/3=7
Exploring Operation: 74-3=71, Resulting Numbers: [21, 71]
Generated Node #0,3,3: 56:[21, 71] Operation: 74-3=71
Moving to Node #0,1
Current State: 56:[43, 21, 34], Operations: ['74-40=34']
Exploring Operation: 43-21=22, Resulting Numbers: [34, 22]
Generated Node #0,1,0: 56:[34, 22] Operation: 43-21=22
Exploring Operation: 43+21=64, Resulting Numbers: [34, 64]
Generated Node #0,1,1: 56:[34, 64] Operation: 43+21=64
Exploring Operation: 43-34=9, Resulting Numbers: [21, 9]
Generated Node #0,1,2: 56:[21, 9] Operation: 43-34=9
Exploring Operation: 21+34=55, Resulting Numbers: [43, 55]
Generated Node #0,1,3: 56:[43, 55] Operation: 21+34=55
Moving to Node #0,2
Current State: 56:[43, 40, 53], Operations: ['74-21=53']
Exploring Operation: 53-43=10, Resulting Numbers: [40, 10]
Generated Node #0,2,0: 56:[40, 10] Operation: 53-43=10
Exploring Operation: 53-40=13, Resulting Numbers: [43, 13]
Generated Node #0,2,1: 56:[43, 13] Operation: 53-40=13
Exploring Operation: 43+40=83, Resulting Numbers: [53, 83]
Generated Node #0,2,2: 56:[53, 83] Operation: 43+40=83
Exploring Operation: 43-40=3, Resulting Numbers: [53, 3]
Generated Node #0,2,3: 56:[53, 3] Operation: 43-40=3
Moving to Node #0,3,0
Current State: 56:[3, 53], Operations: ['43-40=3', '74-21=53']
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,56 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[74, 43, 40, 21], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [74, 21, 3]
Generated Node #0,3: 56:[74, 21, 3] Operation: 43-40=3
Moving to Node #0,3
Current State: 56:[74, 21, 3], Operations: ['43-40=3']
Exploring Operation: 74-21=53, Resulting Numbers: [3, 53]
Generated Node #0,3,0: 56:[3, 53] Operation: 74-21=53
Moving to Node #0,3,0
Current State: 56:[3, 53], Operations: ['43-40=3', '74-21=53']
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.966146 | hs_4 | sum_heuristic |
[
52,
5,
83,
45
] | 95 | [
"52+5=57",
"83-45=38",
"57+38=95"
] | Current State: 95:[52, 5, 83, 45], Operations: []
Exploring Operation: 52+5=57, Resulting Numbers: [83, 45, 57]
Generated Node #2: [83, 45, 57] from Operation: 52+5=57
Current State: 95:[83, 45, 57], Operations: ['52+5=57']
Exploring Operation: 83-45=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 83-45=38
Current State: 95:[57, 38], Operations: ['52+5=57', '83-45=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[52, 5, 83, 45], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [5, 83, 7]
Generated Node #0,0: 95:[5, 83, 7] Operation: 52-45=7
Exploring Operation: 83-52=31, Resulting Numbers: [5, 45, 31]
Generated Node #0,1: 95:[5, 45, 31] Operation: 83-52=31
Exploring Operation: 52+45=97, Resulting Numbers: [5, 83, 97]
Generated Node #0,2: 95:[5, 83, 97] Operation: 52+45=97
Exploring Operation: 45/5=9, Resulting Numbers: [52, 83, 9]
Generated Node #0,3: 95:[52, 83, 9] Operation: 45/5=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[5, 83, 7], Operations: ['52-45=7']
Exploring Operation: 7-5=2, Resulting Numbers: [83, 2]
Generated Node #0,0,0: 95:[83, 2] Operation: 7-5=2
Exploring Operation: 83+7=90, Resulting Numbers: [5, 90]
Generated Node #0,0,1: 95:[5, 90] Operation: 83+7=90
Exploring Operation: 5+83=88, Resulting Numbers: [7, 88]
Generated Node #0,0,2: 95:[7, 88] Operation: 5+83=88
Exploring Operation: 83-5=78, Resulting Numbers: [7, 78]
Generated Node #0,0,3: 95:[7, 78] Operation: 83-5=78
Moving to Node #0,0,1
Current State: 95:[5, 90], Operations: ['52-45=7', '83+7=90']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,95 unequal: No Solution
Exploring Operation: 5*90=450, Resulting Numbers: [450]
450,95 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,95 unequal: No Solution
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[52, 5, 83, 45], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [5, 83, 7]
Generated Node #0,0: 95:[5, 83, 7] Operation: 52-45=7
Moving to Node #0,0
Current State: 95:[5, 83, 7], Operations: ['52-45=7']
Exploring Operation: 83+7=90, Resulting Numbers: [5, 90]
Generated Node #0,0,1: 95:[5, 90] Operation: 83+7=90
Moving to Node #0,0,1
Current State: 95:[5, 90], Operations: ['52-45=7', '83+7=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
58,
69,
13,
33
] | 57 | [
"69-58=11",
"13+33=46",
"11+46=57"
] | Current State: 57:[58, 69, 13, 33], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [13, 33, 11]
Generated Node #2: [13, 33, 11] from Operation: 69-58=11
Current State: 57:[13, 33, 11], Operations: ['69-58=11']
Exploring Operation: 13+33=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 13+33=46
Current State: 57:[11, 46], Operations: ['69-58=11', '13+33=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[58, 69, 13, 33], Operations: []
Exploring Operation: 69-13=56, Resulting Numbers: [58, 33, 56]
Generated Node #0,0: 57:[58, 33, 56] Operation: 69-13=56
Exploring Operation: 58-33=25, Resulting Numbers: [69, 13, 25]
Generated Node #0,1: 57:[69, 13, 25] Operation: 58-33=25
Exploring Operation: 33-13=20, Resulting Numbers: [58, 69, 20]
Generated Node #0,2: 57:[58, 69, 20] Operation: 33-13=20
Moving to Node #0,2
Current State: 57:[58, 69, 20], Operations: ['33-13=20']
Exploring Operation: 69-58=11, Resulting Numbers: [20, 11]
Generated Node #0,2,0: 57:[20, 11] Operation: 69-58=11
Exploring Operation: 58-20=38, Resulting Numbers: [69, 38]
Generated Node #0,2,1: 57:[69, 38] Operation: 58-20=38
Exploring Operation: 69-20=49, Resulting Numbers: [58, 49]
Generated Node #0,2,2: 57:[58, 49] Operation: 69-20=49
Moving to Node #0,0
Current State: 57:[58, 33, 56], Operations: ['69-13=56']
Exploring Operation: 58-56=2, Resulting Numbers: [33, 2]
Generated Node #0,0,0: 57:[33, 2] Operation: 58-56=2
Exploring Operation: 58-33=25, Resulting Numbers: [56, 25]
Generated Node #0,0,1: 57:[56, 25] Operation: 58-33=25
Exploring Operation: 56-33=23, Resulting Numbers: [58, 23]
Generated Node #0,0,2: 57:[58, 23] Operation: 56-33=23
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[58, 23], Operations: ['69-13=56', '56-33=23']
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 58*23=1334, Resulting Numbers: [1334]
1334,57 unequal: No Solution
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[56, 25], Operations: ['69-13=56', '58-33=25']
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,57 unequal: No Solution
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[33, 2], Operations: ['69-13=56', '58-56=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,57 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: 57:[69, 13, 25], Operations: ['58-33=25']
Exploring Operation: 69-25=44, Resulting Numbers: [13, 44]
Generated Node #0,1,0: 57:[13, 44] Operation: 69-25=44
Exploring Operation: 69-13=56, Resulting Numbers: [25, 56]
Generated Node #0,1,1: 57:[25, 56] Operation: 69-13=56
Exploring Operation: 25-13=12, Resulting Numbers: [69, 12]
Generated Node #0,1,2: 57:[69, 12] Operation: 25-13=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[25, 56], Operations: ['58-33=25', '69-13=56']
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 25*56=1400, Resulting Numbers: [1400]
1400,57 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[13, 44], Operations: ['58-33=25', '69-25=44']
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[58, 69, 13, 33], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [69, 13, 25]
Generated Node #0,1: 57:[69, 13, 25] Operation: 58-33=25
Moving to Node #0,1
Current State: 57:[69, 13, 25], Operations: ['58-33=25']
Exploring Operation: 69-25=44, Resulting Numbers: [13, 44]
Generated Node #0,1,0: 57:[13, 44] Operation: 69-25=44
Moving to Node #0,1,0
Current State: 57:[13, 44], Operations: ['58-33=25', '69-25=44']
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
40,
40,
64,
20
] | 48 | [
"64-40=24",
"40/20=2",
"24*2=48"
] | Current State: 48:[40, 40, 64, 20], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [20, 24]
Generated Node #2: [20, 24] from Operation: 64-40=24
Current State: 48:[20, 24], Operations: ['64-40=24']
Exploring Operation: 40/20=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 40/20=2
Current State: 48:[24, 2], Operations: ['64-40=24', '40/20=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[40, 40, 64, 20], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [40, 20, 24]
Generated Node #0,0: 48:[40, 20, 24] Operation: 64-40=24
Exploring Operation: 64-40=24, Resulting Numbers: [40, 20, 24]
Generated Node #0,1: 48:[40, 20, 24] Operation: 64-40=24
Exploring Operation: 64-20=44, Resulting Numbers: [40, 40, 44]
Generated Node #0,2: 48:[40, 40, 44] Operation: 64-20=44
Moving to Node #0,0
Current State: 48:[40, 20, 24], Operations: ['64-40=24']
Exploring Operation: 40-20=20, Resulting Numbers: [24, 20]
Generated Node #0,0,0: 48:[24, 20] Operation: 40-20=20
Exploring Operation: 40-24=16, Resulting Numbers: [20, 16]
Generated Node #0,0,1: 48:[20, 16] Operation: 40-24=16
Exploring Operation: 40/20=2, Resulting Numbers: [24, 2]
Generated Node #0,0,2: 48:[24, 2] Operation: 40/20=2
Moving to Node #0,1
Current State: 48:[40, 20, 24], Operations: ['64-40=24']
Exploring Operation: 40-24=16, Resulting Numbers: [20, 16]
Generated Node #0,1,0: 48:[20, 16] Operation: 40-24=16
Exploring Operation: 40-20=20, Resulting Numbers: [24, 20]
Generated Node #0,1,1: 48:[24, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [24, 2]
Generated Node #0,1,2: 48:[24, 2] Operation: 40/20=2
Moving to Node #0,2
Current State: 48:[40, 40, 44], Operations: ['64-20=44']
Exploring Operation: 44-40=4, Resulting Numbers: [40, 4]
Generated Node #0,2,0: 48:[40, 4] Operation: 44-40=4
Exploring Operation: 40/40=1, Resulting Numbers: [44, 1]
Generated Node #0,2,1: 48:[44, 1] Operation: 40/40=1
Exploring Operation: 40-40=0, Resulting Numbers: [44, 0]
Generated Node #0,2,2: 48:[44, 0] Operation: 40-40=0
Moving to Node #0,0,2
Current State: 48:[24, 2], Operations: ['64-40=24', '40/20=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[40, 40, 64, 20], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [40, 20, 24]
Generated Node #0,0: 48:[40, 20, 24] Operation: 64-40=24
Moving to Node #0,0
Current State: 48:[40, 20, 24], Operations: ['64-40=24']
Exploring Operation: 40/20=2, Resulting Numbers: [24, 2]
Generated Node #0,0,2: 48:[24, 2] Operation: 40/20=2
Moving to Node #0,0,2
Current State: 48:[24, 2], Operations: ['64-40=24', '40/20=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.984375 | hs_3 | sum_heuristic |
[
79,
3,
39,
72
] | 42 | [
"39+72=111",
"111/3=37",
"79-37=42"
] | Current State: 42:[79, 3, 39, 72], Operations: []
Exploring Operation: 39+72=111, Resulting Numbers: [79, 3, 111]
Generated Node #2: [79, 3, 111] from Operation: 39+72=111
Current State: 42:[79, 3, 111], Operations: ['39+72=111']
Exploring Operation: 111/3=37, Resulting Numbers: [79, 37]
Generated Node #3: [79, 37] from Operation: 111/3=37
Current State: 42:[79, 37], Operations: ['39+72=111', '111/3=37']
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[79, 3, 39, 72], Operations: []
Exploring Operation: 79-72=7, Resulting Numbers: [3, 39, 7]
Generated Node #0,0: 42:[3, 39, 7] Operation: 79-72=7
Exploring Operation: 72/3=24, Resulting Numbers: [79, 39, 24]
Generated Node #0,1: 42:[79, 39, 24] Operation: 72/3=24
Exploring Operation: 79-39=40, Resulting Numbers: [3, 72, 40]
Generated Node #0,2: 42:[3, 72, 40] Operation: 79-39=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[3, 39, 7], Operations: ['79-72=7']
Exploring Operation: 39/3=13, Resulting Numbers: [7, 13]
Generated Node #0,0,0: 42:[7, 13] Operation: 39/3=13
Exploring Operation: 3*7=21, Resulting Numbers: [39, 21]
Generated Node #0,0,1: 42:[39, 21] Operation: 3*7=21
Exploring Operation: 3+39=42, Resulting Numbers: [7, 42]
Generated Node #0,0,2: 42:[7, 42] Operation: 3+39=42
Moving to Node #0,0,2
Current State: 42:[7, 42], Operations: ['79-72=7', '3+39=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[7, 13], Operations: ['79-72=7', '39/3=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[39, 21], Operations: ['79-72=7', '3*7=21']
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,42 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,42 unequal: No Solution
No 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: 42:[3, 72, 40], Operations: ['79-39=40']
Exploring Operation: 72/3=24, Resulting Numbers: [40, 24]
Generated Node #0,2,0: 42:[40, 24] Operation: 72/3=24
Exploring Operation: 72-3=69, Resulting Numbers: [40, 69]
Generated Node #0,2,1: 42:[40, 69] Operation: 72-3=69
Exploring Operation: 72-40=32, Resulting Numbers: [3, 32]
Generated Node #0,2,2: 42:[3, 32] Operation: 72-40=32
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 42:[40, 24], Operations: ['79-39=40', '72/3=24']
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[3, 32], Operations: ['79-39=40', '72-40=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 42:[40, 69], Operations: ['79-39=40', '72-3=69']
Exploring Operation: 40+69=109, Resulting Numbers: [109]
109,42 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 40*69=2760, Resulting Numbers: [2760]
2760,42 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: 42:[79, 39, 24], Operations: ['72/3=24']
Exploring Operation: 79-39=40, Resulting Numbers: [24, 40]
Generated Node #0,1,0: 42:[24, 40] Operation: 79-39=40
Exploring Operation: 39-24=15, Resulting Numbers: [79, 15]
Generated Node #0,1,1: 42:[79, 15] Operation: 39-24=15
Exploring Operation: 79-24=55, Resulting Numbers: [39, 55]
Generated Node #0,1,2: 42:[39, 55] Operation: 79-24=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[24, 40], Operations: ['72/3=24', '79-39=40']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 24*40=960, Resulting Numbers: [960]
960,42 unequal: No Solution
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 42:[39, 55], Operations: ['72/3=24', '79-24=55']
Exploring Operation: 39*55=2145, Resulting Numbers: [2145]
2145,42 unequal: No Solution
Exploring Operation: 39+55=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[79, 15], Operations: ['72/3=24', '39-24=15']
Exploring Operation: 79*15=1185, Resulting Numbers: [1185]
1185,42 unequal: No Solution
Exploring Operation: 79+15=94, Resulting Numbers: [94]
94,42 unequal: No Solution
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,42 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 |
[
72,
54,
64,
80
] | 44 | [
"72-64=8",
"80/8=10",
"54-10=44"
] | Current State: 44:[72, 54, 64, 80], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [54, 80, 8]
Generated Node #2: [54, 80, 8] from Operation: 72-64=8
Current State: 44:[54, 80, 8], Operations: ['72-64=8']
Exploring Operation: 80/8=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 80/8=10
Current State: 44:[54, 10], Operations: ['72-64=8', '80/8=10']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[72, 54, 64, 80], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [54, 80, 8]
Generated Node #0,0: 44:[54, 80, 8] Operation: 72-64=8
Exploring Operation: 80-72=8, Resulting Numbers: [54, 64, 8]
Generated Node #0,1: 44:[54, 64, 8] Operation: 80-72=8
Exploring Operation: 80-54=26, Resulting Numbers: [72, 64, 26]
Generated Node #0,2: 44:[72, 64, 26] Operation: 80-54=26
Exploring Operation: 80-64=16, Resulting Numbers: [72, 54, 16]
Generated Node #0,3: 44:[72, 54, 16] Operation: 80-64=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[54, 64, 8], Operations: ['80-72=8']
Exploring Operation: 64-8=56, Resulting Numbers: [54, 56]
Generated Node #0,1,0: 44:[54, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [54, 8]
Generated Node #0,1,1: 44:[54, 8] Operation: 64/8=8
Exploring Operation: 64-54=10, Resulting Numbers: [8, 10]
Generated Node #0,1,2: 44:[8, 10] Operation: 64-54=10
Exploring Operation: 54-8=46, Resulting Numbers: [64, 46]
Generated Node #0,1,3: 44:[64, 46] Operation: 54-8=46
Moving to Node #0,1,2
Current State: 44:[8, 10], Operations: ['80-72=8', '64-54=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,44 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[54, 8], Operations: ['80-72=8', '64/8=8']
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 54*8=432, Resulting Numbers: [432]
432,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[64, 46], Operations: ['80-72=8', '54-8=46']
Exploring Operation: 64+46=110, Resulting Numbers: [110]
110,44 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 64*46=2944, Resulting Numbers: [2944]
2944,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[54, 56], Operations: ['80-72=8', '64-8=56']
Exploring Operation: 54*56=3024, Resulting Numbers: [3024]
3024,44 unequal: No Solution
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 54+56=110, Resulting Numbers: [110]
110,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[72, 54, 16], Operations: ['80-64=16']
Exploring Operation: 72-16=56, Resulting Numbers: [54, 56]
Generated Node #0,3,0: 44:[54, 56] Operation: 72-16=56
Exploring Operation: 72-54=18, Resulting Numbers: [16, 18]
Generated Node #0,3,1: 44:[16, 18] Operation: 72-54=18
Exploring Operation: 72+16=88, Resulting Numbers: [54, 88]
Generated Node #0,3,2: 44:[54, 88] Operation: 72+16=88
Exploring Operation: 54-16=38, Resulting Numbers: [72, 38]
Generated Node #0,3,3: 44:[72, 38] Operation: 54-16=38
Moving to Node #0,3,1
Current State: 44:[16, 18], Operations: ['80-64=16', '72-54=18']
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,44 unequal: No Solution
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[54, 56], Operations: ['80-64=16', '72-16=56']
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 54*56=3024, Resulting Numbers: [3024]
3024,44 unequal: No Solution
Exploring Operation: 54+56=110, Resulting Numbers: [110]
110,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[72, 38], Operations: ['80-64=16', '54-16=38']
Exploring Operation: 72+38=110, Resulting Numbers: [110]
110,44 unequal: No Solution
Exploring Operation: 72*38=2736, Resulting Numbers: [2736]
2736,44 unequal: No Solution
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[54, 88], Operations: ['80-64=16', '72+16=88']
Exploring Operation: 54*88=4752, Resulting Numbers: [4752]
4752,44 unequal: No Solution
Exploring Operation: 54+88=142, Resulting Numbers: [142]
142,44 unequal: No Solution
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[54, 80, 8], Operations: ['72-64=8']
Exploring Operation: 80/8=10, Resulting Numbers: [54, 10]
Generated Node #0,0,0: 44:[54, 10] Operation: 80/8=10
Exploring Operation: 80-54=26, Resulting Numbers: [8, 26]
Generated Node #0,0,1: 44:[8, 26] Operation: 80-54=26
Exploring Operation: 54-8=46, Resulting Numbers: [80, 46]
Generated Node #0,0,2: 44:[80, 46] Operation: 54-8=46
Exploring Operation: 80-8=72, Resulting Numbers: [54, 72]
Generated Node #0,0,3: 44:[54, 72] Operation: 80-8=72
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[8, 26], Operations: ['72-64=8', '80-54=26']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[54, 10], Operations: ['72-64=8', '80/8=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[72, 54, 64, 80], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [54, 80, 8]
Generated Node #0,0: 44:[54, 80, 8] Operation: 72-64=8
Moving to Node #0,0
Current State: 44:[54, 80, 8], Operations: ['72-64=8']
Exploring Operation: 80/8=10, Resulting Numbers: [54, 10]
Generated Node #0,0,0: 44:[54, 10] Operation: 80/8=10
Moving to Node #0,0,0
Current State: 44:[54, 10], Operations: ['72-64=8', '80/8=10']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.957465 | hs_4 | mult_heuristic |
[
92,
9,
89,
25
] | 22 | [
"92-89=3",
"9/3=3",
"25-3=22"
] | Current State: 22:[92, 9, 89, 25], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [9, 25, 3]
Generated Node #2: [9, 25, 3] from Operation: 92-89=3
Current State: 22:[9, 25, 3], Operations: ['92-89=3']
Exploring Operation: 9/3=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 9/3=3
Current State: 22:[25, 3], Operations: ['92-89=3', '9/3=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[92, 9, 89, 25], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [9, 25, 3]
Generated Node #0,0: 22:[9, 25, 3] Operation: 92-89=3
Exploring Operation: 89-25=64, Resulting Numbers: [92, 9, 64]
Generated Node #0,1: 22:[92, 9, 64] Operation: 89-25=64
Exploring Operation: 92-25=67, Resulting Numbers: [9, 89, 67]
Generated Node #0,2: 22:[9, 89, 67] Operation: 92-25=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[9, 25, 3], Operations: ['92-89=3']
Exploring Operation: 9/3=3, Resulting Numbers: [25, 3]
Generated Node #0,0,0: 22:[25, 3] Operation: 9/3=3
Exploring Operation: 25-3=22, Resulting Numbers: [9, 22]
Generated Node #0,0,1: 22:[9, 22] Operation: 25-3=22
Exploring Operation: 9+3=12, Resulting Numbers: [25, 12]
Generated Node #0,0,2: 22:[25, 12] Operation: 9+3=12
Moving to Node #0,0,1
Current State: 22:[9, 22], Operations: ['92-89=3', '25-3=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[25, 3], Operations: ['92-89=3', '9/3=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,22 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[92, 9, 89, 25], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [9, 25, 3]
Generated Node #0,0: 22:[9, 25, 3] Operation: 92-89=3
Moving to Node #0,0
Current State: 22:[9, 25, 3], Operations: ['92-89=3']
Exploring Operation: 9/3=3, Resulting Numbers: [25, 3]
Generated Node #0,0,0: 22:[25, 3] Operation: 9/3=3
Moving to Node #0,0,0
Current State: 22:[25, 3], Operations: ['92-89=3', '9/3=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
57,
81,
84,
15
] | 52 | [
"84-81=3",
"15/3=5",
"57-5=52"
] | Current State: 52:[57, 81, 84, 15], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [57, 15, 3]
Generated Node #2: [57, 15, 3] from Operation: 84-81=3
Current State: 52:[57, 15, 3], Operations: ['84-81=3']
Exploring Operation: 15/3=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 15/3=5
Current State: 52:[57, 5], Operations: ['84-81=3', '15/3=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[57, 81, 84, 15], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [57, 15, 3]
Generated Node #0,0: 52:[57, 15, 3] Operation: 84-81=3
Moving to Node #0,0
Current State: 52:[57, 15, 3], Operations: ['84-81=3']
Exploring Operation: 57-3=54, Resulting Numbers: [15, 54]
Generated Node #0,0,0: 52:[15, 54] Operation: 57-3=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[15, 54], Operations: ['84-81=3', '57-3=54']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,52 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 |
[
38,
60,
7,
98
] | 84 | [
"38+60=98",
"98/7=14",
"98-14=84"
] | Current State: 84:[38, 60, 7, 98], Operations: []
Exploring Operation: 38+60=98, Resulting Numbers: [7, 98, 98]
Generated Node #2: [7, 98, 98] from Operation: 38+60=98
Current State: 84:[7, 98, 98], Operations: ['38+60=98']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,84 equal: Goal Reached
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[38, 60, 7, 98], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [7, 98, 22]
Generated Node #0,0: 84:[7, 98, 22] Operation: 60-38=22
Exploring Operation: 98/7=14, Resulting Numbers: [38, 60, 14]
Generated Node #0,1: 84:[38, 60, 14] Operation: 98/7=14
Exploring Operation: 98-60=38, Resulting Numbers: [38, 7, 38]
Generated Node #0,2: 84:[38, 7, 38] Operation: 98-60=38
Moving to Node #0,2
Current State: 84:[38, 7, 38], Operations: ['98-60=38']
Exploring Operation: 38+7=45, Resulting Numbers: [38, 45]
Generated Node #0,2,0: 84:[38, 45] Operation: 38+7=45
Exploring Operation: 38-38=0, Resulting Numbers: [7, 0]
Generated Node #0,2,1: 84:[7, 0] Operation: 38-38=0
Exploring Operation: 38/38=1, Resulting Numbers: [7, 1]
Generated Node #0,2,2: 84:[7, 1] Operation: 38/38=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[7, 1], Operations: ['98-60=38', '38/38=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[7, 0], Operations: ['98-60=38', '38-38=0']
Exploring Operation: 7*0=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[38, 45], Operations: ['98-60=38', '38+7=45']
Exploring Operation: 38+45=83, Resulting Numbers: [83]
83,84 unequal: No Solution
Exploring Operation: 38*45=1710, Resulting Numbers: [1710]
1710,84 unequal: No Solution
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,84 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: 84:[7, 98, 22], Operations: ['60-38=22']
Exploring Operation: 98/7=14, Resulting Numbers: [22, 14]
Generated Node #0,0,0: 84:[22, 14] Operation: 98/7=14
Exploring Operation: 98-22=76, Resulting Numbers: [7, 76]
Generated Node #0,0,1: 84:[7, 76] Operation: 98-22=76
Exploring Operation: 98-7=91, Resulting Numbers: [22, 91]
Generated Node #0,0,2: 84:[22, 91] Operation: 98-7=91
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[22, 14], Operations: ['60-38=22', '98/7=14']
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,84 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[7, 76], Operations: ['60-38=22', '98-22=76']
Exploring Operation: 7*76=532, Resulting Numbers: [532]
532,84 unequal: No Solution
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,84 unequal: No Solution
Exploring Operation: 7+76=83, Resulting Numbers: [83]
83,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[22, 91], Operations: ['60-38=22', '98-7=91']
Exploring Operation: 22*91=2002, Resulting Numbers: [2002]
2002,84 unequal: No Solution
Exploring Operation: 22+91=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,84 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: 84:[38, 60, 14], Operations: ['98/7=14']
Exploring Operation: 60-38=22, Resulting Numbers: [14, 22]
Generated Node #0,1,0: 84:[14, 22] Operation: 60-38=22
Exploring Operation: 60-14=46, Resulting Numbers: [38, 46]
Generated Node #0,1,1: 84:[38, 46] Operation: 60-14=46
Exploring Operation: 38+60=98, Resulting Numbers: [14, 98]
Generated Node #0,1,2: 84:[14, 98] Operation: 38+60=98
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[14, 22], Operations: ['98/7=14', '60-38=22']
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,84 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[38, 46], Operations: ['98/7=14', '60-14=46']
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[38, 60, 7, 98], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [38, 60, 14]
Generated Node #0,1: 84:[38, 60, 14] Operation: 98/7=14
Moving to Node #0,1
Current State: 84:[38, 60, 14], Operations: ['98/7=14']
Exploring Operation: 60-14=46, Resulting Numbers: [38, 46]
Generated Node #0,1,1: 84:[38, 46] Operation: 60-14=46
Moving to Node #0,1,1
Current State: 84:[38, 46], Operations: ['98/7=14', '60-14=46']
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_3 | sum_heuristic |
[
55,
68,
93,
59
] | 100 | [
"59-55=4",
"93-68=25",
"4*25=100"
] | Current State: 100:[55, 68, 93, 59], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [68, 93, 4]
Generated Node #2: [68, 93, 4] from Operation: 59-55=4
Current State: 100:[68, 93, 4], Operations: ['59-55=4']
Exploring Operation: 93-68=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 93-68=25
Current State: 100:[4, 25], Operations: ['59-55=4', '93-68=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[55, 68, 93, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [55, 93, 9]
Generated Node #0,0: 100:[55, 93, 9] Operation: 68-59=9
Moving to Node #0,0
Current State: 100:[55, 93, 9], Operations: ['68-59=9']
Exploring Operation: 93+9=102, Resulting Numbers: [55, 102]
Generated Node #0,0,0: 100:[55, 102] Operation: 93+9=102
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[55, 102], Operations: ['68-59=9', '93+9=102']
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,100 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 |
[
73,
48,
93,
65
] | 99 | [
"73-65=8",
"48/8=6",
"93+6=99"
] | Current State: 99:[73, 48, 93, 65], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [48, 93, 8]
Generated Node #2: [48, 93, 8] from Operation: 73-65=8
Current State: 99:[48, 93, 8], Operations: ['73-65=8']
Exploring Operation: 48/8=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 48/8=6
Current State: 99:[93, 6], Operations: ['73-65=8', '48/8=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[73, 48, 93, 65], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [48, 93, 8]
Generated Node #0,0: 99:[48, 93, 8] Operation: 73-65=8
Exploring Operation: 65-48=17, Resulting Numbers: [73, 93, 17]
Generated Node #0,1: 99:[73, 93, 17] Operation: 65-48=17
Exploring Operation: 73-48=25, Resulting Numbers: [93, 65, 25]
Generated Node #0,2: 99:[93, 65, 25] Operation: 73-48=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[48, 93, 8], Operations: ['73-65=8']
Exploring Operation: 48/8=6, Resulting Numbers: [93, 6]
Generated Node #0,0,0: 99:[93, 6] Operation: 48/8=6
Exploring Operation: 93-48=45, Resulting Numbers: [8, 45]
Generated Node #0,0,1: 99:[8, 45] Operation: 93-48=45
Exploring Operation: 48-8=40, Resulting Numbers: [93, 40]
Generated Node #0,0,2: 99:[93, 40] Operation: 48-8=40
Moving to Node #0,0,0
Current State: 99:[93, 6], Operations: ['73-65=8', '48/8=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[73, 48, 93, 65], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [48, 93, 8]
Generated Node #0,0: 99:[48, 93, 8] Operation: 73-65=8
Moving to Node #0,0
Current State: 99:[48, 93, 8], Operations: ['73-65=8']
Exploring Operation: 48/8=6, Resulting Numbers: [93, 6]
Generated Node #0,0,0: 99:[93, 6] Operation: 48/8=6
Moving to Node #0,0,0
Current State: 99:[93, 6], Operations: ['73-65=8', '48/8=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
38,
34,
58,
86
] | 32 | [
"38-34=4",
"86-58=28",
"4+28=32"
] | Current State: 32:[38, 34, 58, 86], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [58, 86, 4]
Generated Node #2: [58, 86, 4] from Operation: 38-34=4
Current State: 32:[58, 86, 4], Operations: ['38-34=4']
Exploring Operation: 86-58=28, Resulting Numbers: [4, 28]
Generated Node #3: [4, 28] from Operation: 86-58=28
Current State: 32:[4, 28], Operations: ['38-34=4', '86-58=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[38, 34, 58, 86], Operations: []
Exploring Operation: 86-34=52, Resulting Numbers: [38, 58, 52]
Generated Node #0,0: 32:[38, 58, 52] Operation: 86-34=52
Exploring Operation: 86-38=48, Resulting Numbers: [34, 58, 48]
Generated Node #0,1: 32:[34, 58, 48] Operation: 86-38=48
Exploring Operation: 58-38=20, Resulting Numbers: [34, 86, 20]
Generated Node #0,2: 32:[34, 86, 20] Operation: 58-38=20
Exploring Operation: 86-58=28, Resulting Numbers: [38, 34, 28]
Generated Node #0,3: 32:[38, 34, 28] Operation: 86-58=28
Exploring Operation: 58-34=24, Resulting Numbers: [38, 86, 24]
Generated Node #0,4: 32:[38, 86, 24] Operation: 58-34=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[38, 34, 28], Operations: ['86-58=28']
Exploring Operation: 34-28=6, Resulting Numbers: [38, 6]
Generated Node #0,3,0: 32:[38, 6] Operation: 34-28=6
Exploring Operation: 34+28=62, Resulting Numbers: [38, 62]
Generated Node #0,3,1: 32:[38, 62] Operation: 34+28=62
Exploring Operation: 38-34=4, Resulting Numbers: [28, 4]
Generated Node #0,3,2: 32:[28, 4] Operation: 38-34=4
Exploring Operation: 38-28=10, Resulting Numbers: [34, 10]
Generated Node #0,3,3: 32:[34, 10] Operation: 38-28=10
Exploring Operation: 38+28=66, Resulting Numbers: [34, 66]
Generated Node #0,3,4: 32:[34, 66] Operation: 38+28=66
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 32:[28, 4], Operations: ['86-58=28', '38-34=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[38, 34, 58, 86], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [38, 34, 28]
Generated Node #0,3: 32:[38, 34, 28] Operation: 86-58=28
Moving to Node #0,3
Current State: 32:[38, 34, 28], Operations: ['86-58=28']
Exploring Operation: 38-34=4, Resulting Numbers: [28, 4]
Generated Node #0,3,2: 32:[28, 4] Operation: 38-34=4
Moving to Node #0,3,2
Current State: 32:[28, 4], Operations: ['86-58=28', '38-34=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
4,
22,
38,
2
] | 33 | [
"22-2=20",
"20/4=5",
"38-5=33"
] | Current State: 33:[4, 22, 38, 2], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [4, 38, 20]
Generated Node #2: [4, 38, 20] from Operation: 22-2=20
Current State: 33:[4, 38, 20], Operations: ['22-2=20']
Exploring Operation: 20/4=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 20/4=5
Current State: 33:[38, 5], Operations: ['22-2=20', '20/4=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[4, 22, 38, 2], Operations: []
Exploring Operation: 22/2=11, Resulting Numbers: [4, 38, 11]
Generated Node #0,0: 33:[4, 38, 11] Operation: 22/2=11
Exploring Operation: 4+22=26, Resulting Numbers: [38, 2, 26]
Generated Node #0,1: 33:[38, 2, 26] Operation: 4+22=26
Exploring Operation: 38-22=16, Resulting Numbers: [4, 2, 16]
Generated Node #0,2: 33:[4, 2, 16] Operation: 38-22=16
Moving to Node #0,0
Current State: 33:[4, 38, 11], Operations: ['22/2=11']
Exploring Operation: 4+38=42, Resulting Numbers: [11, 42]
Generated Node #0,0,0: 33:[11, 42] Operation: 4+38=42
Exploring Operation: 38-4=34, Resulting Numbers: [11, 34]
Generated Node #0,0,1: 33:[11, 34] Operation: 38-4=34
Exploring Operation: 38-11=27, Resulting Numbers: [4, 27]
Generated Node #0,0,2: 33:[4, 27] Operation: 38-11=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[11, 34], Operations: ['22/2=11', '38-4=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[4, 27], Operations: ['22/2=11', '38-11=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,33 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[11, 42], Operations: ['22/2=11', '4+38=42']
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,33 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,33 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 33:[4, 2, 16], Operations: ['38-22=16']
Exploring Operation: 16-4=12, Resulting Numbers: [2, 12]
Generated Node #0,2,0: 33:[2, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [2, 4]
Generated Node #0,2,1: 33:[2, 4] Operation: 16/4=4
Exploring Operation: 2*16=32, Resulting Numbers: [4, 32]
Generated Node #0,2,2: 33:[4, 32] Operation: 2*16=32
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[2, 12], Operations: ['38-22=16', '16-4=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[2, 4], Operations: ['38-22=16', '16/4=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[4, 32], Operations: ['38-22=16', '2*16=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,33 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: 33:[38, 2, 26], Operations: ['4+22=26']
Exploring Operation: 26/2=13, Resulting Numbers: [38, 13]
Generated Node #0,1,0: 33:[38, 13] Operation: 26/2=13
Exploring Operation: 38-26=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 33:[2, 12] Operation: 38-26=12
Exploring Operation: 38-2=36, Resulting Numbers: [26, 36]
Generated Node #0,1,2: 33:[26, 36] Operation: 38-2=36
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[2, 12], Operations: ['4+22=26', '38-26=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[38, 13], Operations: ['4+22=26', '26/2=13']
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,33 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[26, 36], Operations: ['4+22=26', '38-2=36']
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
22,
32,
38,
42
] | 29 | [
"38-32=6",
"42/6=7",
"22+7=29"
] | Current State: 29:[22, 32, 38, 42], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [22, 42, 6]
Generated Node #2: [22, 42, 6] from Operation: 38-32=6
Current State: 29:[22, 42, 6], Operations: ['38-32=6']
Exploring Operation: 42/6=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 42/6=7
Current State: 29:[22, 7], Operations: ['38-32=6', '42/6=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[22, 32, 38, 42], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [38, 42, 10]
Generated Node #0,0: 29:[38, 42, 10] Operation: 32-22=10
Exploring Operation: 42-32=10, Resulting Numbers: [22, 38, 10]
Generated Node #0,1: 29:[22, 38, 10] Operation: 42-32=10
Exploring Operation: 38-22=16, Resulting Numbers: [32, 42, 16]
Generated Node #0,2: 29:[32, 42, 16] Operation: 38-22=16
Exploring Operation: 42-22=20, Resulting Numbers: [32, 38, 20]
Generated Node #0,3: 29:[32, 38, 20] Operation: 42-22=20
Exploring Operation: 42-38=4, Resulting Numbers: [22, 32, 4]
Generated Node #0,4: 29:[22, 32, 4] Operation: 42-38=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[32, 38, 20], Operations: ['42-22=20']
Exploring Operation: 32-20=12, Resulting Numbers: [38, 12]
Generated Node #0,3,0: 29:[38, 12] Operation: 32-20=12
Exploring Operation: 38-20=18, Resulting Numbers: [32, 18]
Generated Node #0,3,1: 29:[32, 18] Operation: 38-20=18
Exploring Operation: 38-32=6, Resulting Numbers: [20, 6]
Generated Node #0,3,2: 29:[20, 6] Operation: 38-32=6
Exploring Operation: 38+20=58, Resulting Numbers: [32, 58]
Generated Node #0,3,3: 29:[32, 58] Operation: 38+20=58
Exploring Operation: 32+20=52, Resulting Numbers: [38, 52]
Generated Node #0,3,4: 29:[38, 52] Operation: 32+20=52
Moving to Node #0,3,1
Current State: 29:[32, 18], Operations: ['42-22=20', '38-20=18']
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,29 unequal: No Solution
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[38, 12], Operations: ['42-22=20', '32-20=12']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 38*12=456, Resulting Numbers: [456]
456,29 unequal: No Solution
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[20, 6], Operations: ['42-22=20', '38-32=6']
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[32, 58], Operations: ['42-22=20', '38+20=58']
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,29 unequal: No Solution
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[38, 52], Operations: ['42-22=20', '32+20=52']
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,29 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:[32, 42, 16], Operations: ['38-22=16']
Exploring Operation: 42+16=58, Resulting Numbers: [32, 58]
Generated Node #0,2,0: 29:[32, 58] Operation: 42+16=58
Exploring Operation: 42-16=26, Resulting Numbers: [32, 26]
Generated Node #0,2,1: 29:[32, 26] Operation: 42-16=26
Exploring Operation: 42-32=10, Resulting Numbers: [16, 10]
Generated Node #0,2,2: 29:[16, 10] Operation: 42-32=10
Exploring Operation: 32-16=16, Resulting Numbers: [42, 16]
Generated Node #0,2,3: 29:[42, 16] Operation: 32-16=16
Exploring Operation: 32+16=48, Resulting Numbers: [42, 48]
Generated Node #0,2,4: 29:[42, 48] Operation: 32+16=48
Moving to Node #0,2,1
Current State: 29:[32, 26], Operations: ['38-22=16', '42-16=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[42, 16], Operations: ['38-22=16', '32-16=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,29 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[32, 58], Operations: ['38-22=16', '42+16=58']
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,29 unequal: No Solution
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[16, 10], Operations: ['38-22=16', '42-32=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,29 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[42, 48], Operations: ['38-22=16', '32+16=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,29 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,29 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:[22, 38, 10], Operations: ['42-32=10']
Exploring Operation: 38-22=16, Resulting Numbers: [10, 16]
Generated Node #0,1,0: 29:[10, 16] Operation: 38-22=16
Exploring Operation: 22+10=32, Resulting Numbers: [38, 32]
Generated Node #0,1,1: 29:[38, 32] Operation: 22+10=32
Exploring Operation: 22-10=12, Resulting Numbers: [38, 12]
Generated Node #0,1,2: 29:[38, 12] Operation: 22-10=12
Exploring Operation: 38+10=48, Resulting Numbers: [22, 48]
Generated Node #0,1,3: 29:[22, 48] Operation: 38+10=48
Exploring Operation: 38-10=28, Resulting Numbers: [22, 28]
Generated Node #0,1,4: 29:[22, 28] Operation: 38-10=28
Moving to Node #0,1,4
Current State: 29:[22, 28], Operations: ['42-32=10', '38-10=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,29 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[38, 32], Operations: ['42-32=10', '22+10=32']
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,29 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[38, 12], Operations: ['42-32=10', '22-10=12']
Exploring Operation: 38*12=456, Resulting Numbers: [456]
456,29 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[22, 48], Operations: ['42-32=10', '38+10=48']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 22*48=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[10, 16], Operations: ['42-32=10', '38-22=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,29 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 #0,4
Current State: 29:[22, 32, 4], Operations: ['42-38=4']
Exploring Operation: 32+4=36, Resulting Numbers: [22, 36]
Generated Node #0,4,0: 29:[22, 36] Operation: 32+4=36
Exploring Operation: 22+4=26, Resulting Numbers: [32, 26]
Generated Node #0,4,1: 29:[32, 26] Operation: 22+4=26
Exploring Operation: 32-4=28, Resulting Numbers: [22, 28]
Generated Node #0,4,2: 29:[22, 28] Operation: 32-4=28
Exploring Operation: 22-4=18, Resulting Numbers: [32, 18]
Generated Node #0,4,3: 29:[32, 18] Operation: 22-4=18
Exploring Operation: 32/4=8, Resulting Numbers: [22, 8]
Generated Node #0,4,4: 29:[22, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 29:[32, 26], Operations: ['42-38=4', '22+4=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,29 unequal: No Solution
Exploring Operation: 32-26=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 #0,4,2
Current State: 29:[22, 28], Operations: ['42-38=4', '32-4=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,29 unequal: No Solution
Exploring Operation: 28-22=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 #0,4,0
Current State: 29:[22, 36], Operations: ['42-38=4', '32+4=36']
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 22*36=792, Resulting Numbers: [792]
792,29 unequal: No Solution
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,29 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 #0,4,3
Current State: 29:[32, 18], Operations: ['42-38=4', '22-4=18']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,29 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 #0,4,4
Current State: 29:[22, 8], Operations: ['42-38=4', '32/4=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,29 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[38, 42, 10], Operations: ['32-22=10']
Exploring Operation: 38+10=48, Resulting Numbers: [42, 48]
Generated Node #0,0,0: 29:[42, 48] Operation: 38+10=48
Exploring Operation: 42-10=32, Resulting Numbers: [38, 32]
Generated Node #0,0,1: 29:[38, 32] Operation: 42-10=32
Exploring Operation: 38-10=28, Resulting Numbers: [42, 28]
Generated Node #0,0,2: 29:[42, 28] Operation: 38-10=28
Exploring Operation: 42+10=52, Resulting Numbers: [38, 52]
Generated Node #0,0,3: 29:[38, 52] Operation: 42+10=52
Exploring Operation: 42-38=4, Resulting Numbers: [10, 4]
Generated Node #0,0,4: 29:[10, 4] Operation: 42-38=4
Moving to Node #0,0,1
Current State: 29:[38, 32], Operations: ['32-22=10', '42-10=32']
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,29 unequal: No Solution
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[42, 28], Operations: ['32-22=10', '38-10=28']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[42, 48], Operations: ['32-22=10', '38+10=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,29 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[38, 52], Operations: ['32-22=10', '42+10=52']
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[10, 4], Operations: ['32-22=10', '42-38=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
78,
18,
6,
22
] | 26 | [
"78-6=72",
"72/18=4",
"22+4=26"
] | Current State: 26:[78, 18, 6, 22], Operations: []
Exploring Operation: 78-6=72, Resulting Numbers: [18, 22, 72]
Generated Node #2: [18, 22, 72] from Operation: 78-6=72
Current State: 26:[18, 22, 72], Operations: ['78-6=72']
Exploring Operation: 72/18=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 72/18=4
Current State: 26:[22, 4], Operations: ['78-6=72', '72/18=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[78, 18, 6, 22], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [18, 22, 13]
Generated Node #0,0: 26:[18, 22, 13] Operation: 78/6=13
Exploring Operation: 78-22=56, Resulting Numbers: [18, 6, 56]
Generated Node #0,1: 26:[18, 6, 56] Operation: 78-22=56
Exploring Operation: 78-18=60, Resulting Numbers: [6, 22, 60]
Generated Node #0,2: 26:[6, 22, 60] Operation: 78-18=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[18, 22, 13], Operations: ['78/6=13']
Exploring Operation: 18+13=31, Resulting Numbers: [22, 31]
Generated Node #0,0,0: 26:[22, 31] Operation: 18+13=31
Exploring Operation: 22-18=4, Resulting Numbers: [13, 4]
Generated Node #0,0,1: 26:[13, 4] Operation: 22-18=4
Exploring Operation: 18-13=5, Resulting Numbers: [22, 5]
Generated Node #0,0,2: 26:[22, 5] Operation: 18-13=5
Moving to Node #0,0,1
Current State: 26:[13, 4], Operations: ['78/6=13', '22-18=4']
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,26 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[22, 5], Operations: ['78/6=13', '18-13=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[22, 31], Operations: ['78/6=13', '18+13=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[18, 6, 56], Operations: ['78-22=56']
Exploring Operation: 18-6=12, Resulting Numbers: [56, 12]
Generated Node #0,1,0: 26:[56, 12] Operation: 18-6=12
Exploring Operation: 56-18=38, Resulting Numbers: [6, 38]
Generated Node #0,1,1: 26:[6, 38] Operation: 56-18=38
Exploring Operation: 56-6=50, Resulting Numbers: [18, 50]
Generated Node #0,1,2: 26:[18, 50] Operation: 56-6=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[6, 38], Operations: ['78-22=56', '56-18=38']
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,26 unequal: No Solution
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,26 unequal: No Solution
No 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: 26:[18, 50], Operations: ['78-22=56', '56-6=50']
Exploring Operation: 18*50=900, Resulting Numbers: [900]
900,26 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 18+50=68, Resulting Numbers: [68]
68,26 unequal: No Solution
No 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: 26:[56, 12], Operations: ['78-22=56', '18-6=12']
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,26 unequal: No Solution
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,26 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,26 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: 26:[6, 22, 60], Operations: ['78-18=60']
Exploring Operation: 60-22=38, Resulting Numbers: [6, 38]
Generated Node #0,2,0: 26:[6, 38] Operation: 60-22=38
Exploring Operation: 60/6=10, Resulting Numbers: [22, 10]
Generated Node #0,2,1: 26:[22, 10] Operation: 60/6=10
Exploring Operation: 60-6=54, Resulting Numbers: [22, 54]
Generated Node #0,2,2: 26:[22, 54] Operation: 60-6=54
Moving to Node #0,2,1
Current State: 26:[22, 10], Operations: ['78-18=60', '60/6=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[6, 38], Operations: ['78-18=60', '60-22=38']
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,26 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[22, 54], Operations: ['78-18=60', '60-6=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 22*54=1188, Resulting Numbers: [1188]
1188,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
39,
31,
95,
25
] | 62 | [
"39-31=8",
"95-25=70",
"70-8=62"
] | Current State: 62:[39, 31, 95, 25], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [95, 25, 8]
Generated Node #2: [95, 25, 8] from Operation: 39-31=8
Current State: 62:[95, 25, 8], Operations: ['39-31=8']
Exploring Operation: 95-25=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 95-25=70
Current State: 62:[8, 70], Operations: ['39-31=8', '95-25=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[39, 31, 95, 25], Operations: []
Exploring Operation: 95-25=70, Resulting Numbers: [39, 31, 70]
Generated Node #0,0: 62:[39, 31, 70] Operation: 95-25=70
Exploring Operation: 95-31=64, Resulting Numbers: [39, 25, 64]
Generated Node #0,1: 62:[39, 25, 64] Operation: 95-31=64
Exploring Operation: 95-39=56, Resulting Numbers: [31, 25, 56]
Generated Node #0,2: 62:[31, 25, 56] Operation: 95-39=56
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[31, 25, 56], Operations: ['95-39=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31, 31]
Generated Node #0,2,0: 62:[31, 31] Operation: 56-25=31
Exploring Operation: 31+25=56, Resulting Numbers: [56, 56]
Generated Node #0,2,1: 62:[56, 56] Operation: 31+25=56
Exploring Operation: 31-25=6, Resulting Numbers: [56, 6]
Generated Node #0,2,2: 62:[56, 6] Operation: 31-25=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[31, 31], Operations: ['95-39=56', '56-25=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[39, 31, 95, 25], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [31, 25, 56]
Generated Node #0,2: 62:[31, 25, 56] Operation: 95-39=56
Moving to Node #0,2
Current State: 62:[31, 25, 56], Operations: ['95-39=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31, 31]
Generated Node #0,2,0: 62:[31, 31] Operation: 56-25=31
Moving to Node #0,2,0
Current State: 62:[31, 31], Operations: ['95-39=56', '56-25=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
6,
43,
23,
62
] | 76 | [
"43-6=37",
"62-23=39",
"37+39=76"
] | Current State: 76:[6, 43, 23, 62], Operations: []
Exploring Operation: 43-6=37, Resulting Numbers: [23, 62, 37]
Generated Node #2: [23, 62, 37] from Operation: 43-6=37
Current State: 76:[23, 62, 37], Operations: ['43-6=37']
Exploring Operation: 62-23=39, Resulting Numbers: [37, 39]
Generated Node #3: [37, 39] from Operation: 62-23=39
Current State: 76:[37, 39], Operations: ['43-6=37', '62-23=39']
Exploring Operation: 37+39=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[6, 43, 23, 62], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [6, 23, 19]
Generated Node #0,0: 76:[6, 23, 19] Operation: 62-43=19
Exploring Operation: 62-23=39, Resulting Numbers: [6, 43, 39]
Generated Node #0,1: 76:[6, 43, 39] Operation: 62-23=39
Exploring Operation: 23+62=85, Resulting Numbers: [6, 43, 85]
Generated Node #0,2: 76:[6, 43, 85] Operation: 23+62=85
Moving to Node #0,0
Current State: 76:[6, 23, 19], Operations: ['62-43=19']
Exploring Operation: 23-6=17, Resulting Numbers: [19, 17]
Generated Node #0,0,0: 76:[19, 17] Operation: 23-6=17
Exploring Operation: 23-19=4, Resulting Numbers: [6, 4]
Generated Node #0,0,1: 76:[6, 4] Operation: 23-19=4
Exploring Operation: 23+19=42, Resulting Numbers: [6, 42]
Generated Node #0,0,2: 76:[6, 42] Operation: 23+19=42
Moving to Node #0,1
Current State: 76:[6, 43, 39], Operations: ['62-23=39']
Exploring Operation: 43-6=37, Resulting Numbers: [39, 37]
Generated Node #0,1,0: 76:[39, 37] Operation: 43-6=37
Exploring Operation: 43-39=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 76:[6, 4] Operation: 43-39=4
Exploring Operation: 43+39=82, Resulting Numbers: [6, 82]
Generated Node #0,1,2: 76:[6, 82] Operation: 43+39=82
Moving to Node #0,2
Current State: 76:[6, 43, 85], Operations: ['23+62=85']
Exploring Operation: 43-6=37, Resulting Numbers: [85, 37]
Generated Node #0,2,0: 76:[85, 37] Operation: 43-6=37
Exploring Operation: 85-43=42, Resulting Numbers: [6, 42]
Generated Node #0,2,1: 76:[6, 42] Operation: 85-43=42
Exploring Operation: 85-6=79, Resulting Numbers: [43, 79]
Generated Node #0,2,2: 76:[43, 79] Operation: 85-6=79
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[6, 42], Operations: ['23+62=85', '85-43=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,76 unequal: No Solution
Exploring Operation: 42-6=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 #0,2,2
Current State: 76:[43, 79], Operations: ['23+62=85', '85-6=79']
Exploring Operation: 43*79=3397, Resulting Numbers: [3397]
3397,76 unequal: No Solution
Exploring Operation: 43+79=122, Resulting Numbers: [122]
122,76 unequal: No Solution
Exploring Operation: 79-43=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 #0,2,0
Current State: 76:[85, 37], Operations: ['23+62=85', '43-6=37']
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,76 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,76 unequal: No Solution
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,76 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: 76:[19, 17], Operations: ['62-43=19', '23-6=17']
Exploring Operation: 19*17=323, Resulting Numbers: [323]
323,76 unequal: No Solution
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[6, 4], Operations: ['62-43=19', '23-19=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[6, 4], Operations: ['62-23=39', '43-39=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[39, 37], Operations: ['62-23=39', '43-6=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[6, 43, 23, 62], Operations: []
Exploring Operation: 62-23=39, Resulting Numbers: [6, 43, 39]
Generated Node #0,1: 76:[6, 43, 39] Operation: 62-23=39
Moving to Node #0,1
Current State: 76:[6, 43, 39], Operations: ['62-23=39']
Exploring Operation: 43-6=37, Resulting Numbers: [39, 37]
Generated Node #0,1,0: 76:[39, 37] Operation: 43-6=37
Moving to Node #0,1,0
Current State: 76:[39, 37], Operations: ['62-23=39', '43-6=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.969618 | hs_3 | mult_heuristic |
[
45,
16,
2,
41
] | 72 | [
"45-16=29",
"2+41=43",
"29+43=72"
] | Current State: 72:[45, 16, 2, 41], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [2, 41, 29]
Generated Node #2: [2, 41, 29] from Operation: 45-16=29
Current State: 72:[2, 41, 29], Operations: ['45-16=29']
Exploring Operation: 2+41=43, Resulting Numbers: [29, 43]
Generated Node #3: [29, 43] from Operation: 2+41=43
Current State: 72:[29, 43], Operations: ['45-16=29', '2+41=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[45, 16, 2, 41], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [16, 2, 4]
Generated Node #0,0: 72:[16, 2, 4] Operation: 45-41=4
Exploring Operation: 45-16=29, Resulting Numbers: [2, 41, 29]
Generated Node #0,1: 72:[2, 41, 29] Operation: 45-16=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[16, 2, 4], Operations: ['45-41=4']
Exploring Operation: 16+2=18, Resulting Numbers: [4, 18]
Generated Node #0,0,0: 72:[4, 18] Operation: 16+2=18
Exploring Operation: 16/2=8, Resulting Numbers: [4, 8]
Generated Node #0,0,1: 72:[4, 8] Operation: 16/2=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[4, 18], Operations: ['45-41=4', '16+2=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[45, 16, 2, 41], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [16, 2, 4]
Generated Node #0,0: 72:[16, 2, 4] Operation: 45-41=4
Moving to Node #0,0
Current State: 72:[16, 2, 4], Operations: ['45-41=4']
Exploring Operation: 16+2=18, Resulting Numbers: [4, 18]
Generated Node #0,0,0: 72:[4, 18] Operation: 16+2=18
Moving to Node #0,0,0
Current State: 72:[4, 18], Operations: ['45-41=4', '16+2=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
48,
92,
82,
80
] | 42 | [
"92-48=44",
"82-80=2",
"44-2=42"
] | Current State: 42:[48, 92, 82, 80], Operations: []
Exploring Operation: 92-48=44, Resulting Numbers: [82, 80, 44]
Generated Node #2: [82, 80, 44] from Operation: 92-48=44
Current State: 42:[82, 80, 44], Operations: ['92-48=44']
Exploring Operation: 82-80=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 82-80=2
Current State: 42:[44, 2], Operations: ['92-48=44', '82-80=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[48, 92, 82, 80], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [48, 80, 10]
Generated Node #0,0: 42:[48, 80, 10] Operation: 92-82=10
Exploring Operation: 92-80=12, Resulting Numbers: [48, 82, 12]
Generated Node #0,1: 42:[48, 82, 12] Operation: 92-80=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[48, 80, 10], Operations: ['92-82=10']
Exploring Operation: 80/10=8, Resulting Numbers: [48, 8]
Generated Node #0,0,0: 42:[48, 8] Operation: 80/10=8
Exploring Operation: 80-48=32, Resulting Numbers: [10, 32]
Generated Node #0,0,1: 42:[10, 32] Operation: 80-48=32
Moving to Node #0,0,0
Current State: 42:[48, 8], Operations: ['92-82=10', '80/10=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[10, 32], Operations: ['92-82=10', '80-48=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[48, 92, 82, 80], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [48, 80, 10]
Generated Node #0,0: 42:[48, 80, 10] Operation: 92-82=10
Moving to Node #0,0
Current State: 42:[48, 80, 10], Operations: ['92-82=10']
Exploring Operation: 80-48=32, Resulting Numbers: [10, 32]
Generated Node #0,0,1: 42:[10, 32] Operation: 80-48=32
Moving to Node #0,0,1
Current State: 42:[10, 32], Operations: ['92-82=10', '80-48=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
70,
69,
65,
26
] | 38 | [
"70-69=1",
"65-26=39",
"39-1=38"
] | Current State: 38:[70, 69, 65, 26], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [65, 26, 1]
Generated Node #2: [65, 26, 1] from Operation: 70-69=1
Current State: 38:[65, 26, 1], Operations: ['70-69=1']
Exploring Operation: 65-26=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 65-26=39
Current State: 38:[1, 39], Operations: ['70-69=1', '65-26=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[70, 69, 65, 26], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [65, 26, 1]
Generated Node #0,0: 38:[65, 26, 1] Operation: 70-69=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[65, 26, 1], Operations: ['70-69=1']
Exploring Operation: 65-26=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 38:[1, 39] Operation: 65-26=39
Moving to Node #0,0,0
Current State: 38:[1, 39], Operations: ['70-69=1', '65-26=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[70, 69, 65, 26], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [65, 26, 1]
Generated Node #0,0: 38:[65, 26, 1] Operation: 70-69=1
Moving to Node #0,0
Current State: 38:[65, 26, 1], Operations: ['70-69=1']
Exploring Operation: 65-26=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 38:[1, 39] Operation: 65-26=39
Moving to Node #0,0,0
Current State: 38:[1, 39], Operations: ['70-69=1', '65-26=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
79,
82,
22,
79
] | 60 | [
"79+82=161",
"22+79=101",
"161-101=60"
] | Current State: 60:[79, 82, 22, 79], Operations: []
Exploring Operation: 79+82=161, Resulting Numbers: [22, 161]
Generated Node #2: [22, 161] from Operation: 79+82=161
Current State: 60:[22, 161], Operations: ['79+82=161']
Exploring Operation: 22+79=101, Resulting Numbers: [161, 101]
Generated Node #3: [161, 101] from Operation: 22+79=101
Current State: 60:[161, 101], Operations: ['79+82=161', '22+79=101']
Exploring Operation: 161-101=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[79, 82, 22, 79], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [22, 79, 3]
Generated Node #0,0: 60:[22, 79, 3] Operation: 82-79=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[22, 79, 3], Operations: ['82-79=3']
Exploring Operation: 79-22=57, Resulting Numbers: [3, 57]
Generated Node #0,0,0: 60:[3, 57] Operation: 79-22=57
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[3, 57], Operations: ['82-79=3', '79-22=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[79, 82, 22, 79], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [22, 79, 3]
Generated Node #0,0: 60:[22, 79, 3] Operation: 82-79=3
Moving to Node #0,0
Current State: 60:[22, 79, 3], Operations: ['82-79=3']
Exploring Operation: 79-22=57, Resulting Numbers: [3, 57]
Generated Node #0,0,0: 60:[3, 57] Operation: 79-22=57
Moving to Node #0,0,0
Current State: 60:[3, 57], Operations: ['82-79=3', '79-22=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
19,
72,
26,
64
] | 36 | [
"19*72=1368",
"64-26=38",
"1368/38=36"
] | Current State: 36:[19, 72, 26, 64], Operations: []
Exploring Operation: 19*72=1368, Resulting Numbers: [26, 64, 1368]
Generated Node #2: [26, 64, 1368] from Operation: 19*72=1368
Current State: 36:[26, 64, 1368], Operations: ['19*72=1368']
Exploring Operation: 64-26=38, Resulting Numbers: [1368, 38]
Generated Node #3: [1368, 38] from Operation: 64-26=38
Current State: 36:[1368, 38], Operations: ['19*72=1368', '64-26=38']
Exploring Operation: 1368/38=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[19, 72, 26, 64], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [19, 26, 8]
Generated Node #0,0: 36:[19, 26, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[19, 26, 8], Operations: ['72-64=8']
Exploring Operation: 26-8=18, Resulting Numbers: [19, 18]
Generated Node #0,0,0: 36:[19, 18] Operation: 26-8=18
Moving to Node #0,0,0
Current State: 36:[19, 18], Operations: ['72-64=8', '26-8=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
43,
10,
10,
39
] | 43 | [
"10-10=0",
"39*0=0",
"43+0=43"
] | Current State: 43:[43, 10, 10, 39], Operations: []
Exploring Operation: 10-10=0, Resulting Numbers: [43, 39, 0]
Generated Node #2: [43, 39, 0] from Operation: 10-10=0
Current State: 43:[43, 39, 0], Operations: ['10-10=0']
Exploring Operation: 39*0=0, Resulting Numbers: [43, 0]
Generated Node #3: [43, 0] from Operation: 39*0=0
Current State: 43:[43, 0], Operations: ['10-10=0', '39*0=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[43, 10, 10, 39], Operations: []
Exploring Operation: 10+39=49, Resulting Numbers: [43, 10, 49]
Generated Node #0,0: 43:[43, 10, 49] Operation: 10+39=49
Exploring Operation: 10+39=49, Resulting Numbers: [43, 10, 49]
Generated Node #0,1: 43:[43, 10, 49] Operation: 10+39=49
Exploring Operation: 10+10=20, Resulting Numbers: [43, 39, 20]
Generated Node #0,2: 43:[43, 39, 20] Operation: 10+10=20
Moving to Node #0,2
Current State: 43:[43, 39, 20], Operations: ['10+10=20']
Exploring Operation: 43+20=63, Resulting Numbers: [39, 63]
Generated Node #0,2,0: 43:[39, 63] Operation: 43+20=63
Exploring Operation: 39+20=59, Resulting Numbers: [43, 59]
Generated Node #0,2,1: 43:[43, 59] Operation: 39+20=59
Exploring Operation: 43-20=23, Resulting Numbers: [39, 23]
Generated Node #0,2,2: 43:[39, 23] Operation: 43-20=23
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[43, 59], Operations: ['10+10=20', '39+20=59']
Exploring Operation: 43+59=102, Resulting Numbers: [102]
102,43 unequal: No Solution
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 43*59=2537, Resulting Numbers: [2537]
2537,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 43:[39, 63], Operations: ['10+10=20', '43+20=63']
Exploring Operation: 39*63=2457, Resulting Numbers: [2457]
2457,43 unequal: No Solution
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,43 unequal: No Solution
Exploring Operation: 39+63=102, Resulting Numbers: [102]
102,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 43:[39, 23], Operations: ['10+10=20', '43-20=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,43 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,43 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: 43:[43, 10, 49], Operations: ['10+39=49']
Exploring Operation: 49-10=39, Resulting Numbers: [43, 39]
Generated Node #0,0,0: 43:[43, 39] Operation: 49-10=39
Exploring Operation: 43+10=53, Resulting Numbers: [49, 53]
Generated Node #0,0,1: 43:[49, 53] Operation: 43+10=53
Exploring Operation: 43-10=33, Resulting Numbers: [49, 33]
Generated Node #0,0,2: 43:[49, 33] Operation: 43-10=33
Moving to Node #0,1
Current State: 43:[43, 10, 49], Operations: ['10+39=49']
Exploring Operation: 43+10=53, Resulting Numbers: [49, 53]
Generated Node #0,1,0: 43:[49, 53] Operation: 43+10=53
Exploring Operation: 49-10=39, Resulting Numbers: [43, 39]
Generated Node #0,1,1: 43:[43, 39] Operation: 49-10=39
Exploring Operation: 43-10=33, Resulting Numbers: [49, 33]
Generated Node #0,1,2: 43:[49, 33] Operation: 43-10=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[43, 39], Operations: ['10+39=49', '49-10=39']
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,43 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,43 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:[49, 53], Operations: ['10+39=49', '43+10=53']
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 49*53=2597, Resulting Numbers: [2597]
2597,43 unequal: No Solution
Exploring Operation: 49+53=102, Resulting Numbers: [102]
102,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 43:[49, 33], Operations: ['10+39=49', '43-10=33']
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,43 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,43 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: 43:[43, 39], Operations: ['10+39=49', '49-10=39']
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,43 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[49, 53], Operations: ['10+39=49', '43+10=53']
Exploring Operation: 49+53=102, Resulting Numbers: [102]
102,43 unequal: No Solution
Exploring Operation: 49*53=2597, Resulting Numbers: [2597]
2597,43 unequal: No Solution
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[49, 33], Operations: ['10+39=49', '43-10=33']
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,43 unequal: No Solution
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,43 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
13,
26,
12,
82
] | 100 | [
"13*12=156",
"82-26=56",
"156-56=100"
] | Current State: 100:[13, 26, 12, 82], Operations: []
Exploring Operation: 13*12=156, Resulting Numbers: [26, 82, 156]
Generated Node #2: [26, 82, 156] from Operation: 13*12=156
Current State: 100:[26, 82, 156], Operations: ['13*12=156']
Exploring Operation: 82-26=56, Resulting Numbers: [156, 56]
Generated Node #3: [156, 56] from Operation: 82-26=56
Current State: 100:[156, 56], Operations: ['13*12=156', '82-26=56']
Exploring Operation: 156-56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[13, 26, 12, 82], Operations: []
Exploring Operation: 12+82=94, Resulting Numbers: [13, 26, 94]
Generated Node #0,0: 100:[13, 26, 94] Operation: 12+82=94
Exploring Operation: 13+82=95, Resulting Numbers: [26, 12, 95]
Generated Node #0,1: 100:[26, 12, 95] Operation: 13+82=95
Exploring Operation: 82-26=56, Resulting Numbers: [13, 12, 56]
Generated Node #0,2: 100:[13, 12, 56] Operation: 82-26=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[26, 12, 95], Operations: ['13+82=95']
Exploring Operation: 26+12=38, Resulting Numbers: [95, 38]
Generated Node #0,1,0: 100:[95, 38] Operation: 26+12=38
Exploring Operation: 12+95=107, Resulting Numbers: [26, 107]
Generated Node #0,1,1: 100:[26, 107] Operation: 12+95=107
Exploring Operation: 26-12=14, Resulting Numbers: [95, 14]
Generated Node #0,1,2: 100:[95, 14] Operation: 26-12=14
Moving to Node #0,1,1
Current State: 100:[26, 107], Operations: ['13+82=95', '12+95=107']
Exploring Operation: 107-26=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 26*107=2782, Resulting Numbers: [2782]
2782,100 unequal: No Solution
Exploring Operation: 26+107=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[95, 14], Operations: ['13+82=95', '26-12=14']
Exploring Operation: 95+14=109, Resulting Numbers: [109]
109,100 unequal: No Solution
Exploring Operation: 95*14=1330, Resulting Numbers: [1330]
1330,100 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[95, 38], Operations: ['13+82=95', '26+12=38']
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 95+38=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Exploring Operation: 95*38=3610, Resulting Numbers: [3610]
3610,100 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 #0,0
Current State: 100:[13, 26, 94], Operations: ['12+82=94']
Exploring Operation: 26-13=13, Resulting Numbers: [94, 13]
Generated Node #0,0,0: 100:[94, 13] Operation: 26-13=13
Exploring Operation: 13+94=107, Resulting Numbers: [26, 107]
Generated Node #0,0,1: 100:[26, 107] Operation: 13+94=107
Exploring Operation: 26/13=2, Resulting Numbers: [94, 2]
Generated Node #0,0,2: 100:[94, 2] Operation: 26/13=2
Moving to Node #0,0,2
Current State: 100:[94, 2], Operations: ['12+82=94', '26/13=2']
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,100 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,100 unequal: No Solution
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[26, 107], Operations: ['12+82=94', '13+94=107']
Exploring Operation: 26+107=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Exploring Operation: 26*107=2782, Resulting Numbers: [2782]
2782,100 unequal: No Solution
Exploring Operation: 107-26=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[94, 13], Operations: ['12+82=94', '26-13=13']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 94+13=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Exploring Operation: 94*13=1222, Resulting Numbers: [1222]
1222,100 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
Current State: 100:[13, 12, 56], Operations: ['82-26=56']
Exploring Operation: 56-13=43, Resulting Numbers: [12, 43]
Generated Node #0,2,0: 100:[12, 43] Operation: 56-13=43
Exploring Operation: 13+12=25, Resulting Numbers: [56, 25]
Generated Node #0,2,1: 100:[56, 25] Operation: 13+12=25
Exploring Operation: 13-12=1, Resulting Numbers: [56, 1]
Generated Node #0,2,2: 100:[56, 1] Operation: 13-12=1
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[56, 25], Operations: ['82-26=56', '13+12=25']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,100 unequal: No Solution
No 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: 100:[56, 1], Operations: ['82-26=56', '13-12=1']
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,100 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,100 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,100 unequal: No Solution
No 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: 100:[12, 43], Operations: ['82-26=56', '56-13=43']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 12*43=516, Resulting Numbers: [516]
516,100 unequal: No Solution
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,100 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 |
[
46,
14,
2,
24
] | 21 | [
"46+24=70",
"70/2=35",
"35-14=21"
] | Current State: 21:[46, 14, 2, 24], Operations: []
Exploring Operation: 46+24=70, Resulting Numbers: [14, 2, 70]
Generated Node #2: [14, 2, 70] from Operation: 46+24=70
Current State: 21:[14, 2, 70], Operations: ['46+24=70']
Exploring Operation: 70/2=35, Resulting Numbers: [14, 35]
Generated Node #3: [14, 35] from Operation: 70/2=35
Current State: 21:[14, 35], Operations: ['46+24=70', '70/2=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[46, 14, 2, 24], Operations: []
Exploring Operation: 46-14=32, Resulting Numbers: [2, 24, 32]
Generated Node #0,0: 21:[2, 24, 32] Operation: 46-14=32
Exploring Operation: 46-24=22, Resulting Numbers: [14, 2, 22]
Generated Node #0,1: 21:[14, 2, 22] Operation: 46-24=22
Exploring Operation: 14/2=7, Resulting Numbers: [46, 24, 7]
Generated Node #0,2: 21:[46, 24, 7] Operation: 14/2=7
Exploring Operation: 46/2=23, Resulting Numbers: [14, 24, 23]
Generated Node #0,3: 21:[14, 24, 23] Operation: 46/2=23
Exploring Operation: 24-14=10, Resulting Numbers: [46, 2, 10]
Generated Node #0,4: 21:[46, 2, 10] Operation: 24-14=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[14, 2, 22], Operations: ['46-24=22']
Exploring Operation: 14/2=7, Resulting Numbers: [22, 7]
Generated Node #0,1,0: 21:[22, 7] Operation: 14/2=7
Exploring Operation: 14-2=12, Resulting Numbers: [22, 12]
Generated Node #0,1,1: 21:[22, 12] Operation: 14-2=12
Exploring Operation: 22-14=8, Resulting Numbers: [2, 8]
Generated Node #0,1,2: 21:[2, 8] Operation: 22-14=8
Exploring Operation: 14+2=16, Resulting Numbers: [22, 16]
Generated Node #0,1,3: 21:[22, 16] Operation: 14+2=16
Exploring Operation: 14*2=28, Resulting Numbers: [22, 28]
Generated Node #0,1,4: 21:[22, 28] Operation: 14*2=28
Moving to Node #0,1,0
Current State: 21:[22, 7], Operations: ['46-24=22', '14/2=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[2, 8], Operations: ['46-24=22', '22-14=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[22, 12], Operations: ['46-24=22', '14-2=12']
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,21 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[22, 16], Operations: ['46-24=22', '14+2=16']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,21 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Moving to Node #0,1,4
Current State: 21:[22, 28], Operations: ['46-24=22', '14*2=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,21 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,21 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,21 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 #0,3
Current State: 21:[14, 24, 23], Operations: ['46/2=23']
Exploring Operation: 24-14=10, Resulting Numbers: [23, 10]
Generated Node #0,3,0: 21:[23, 10] Operation: 24-14=10
Exploring Operation: 14+23=37, Resulting Numbers: [24, 37]
Generated Node #0,3,1: 21:[24, 37] Operation: 14+23=37
Exploring Operation: 14+24=38, Resulting Numbers: [23, 38]
Generated Node #0,3,2: 21:[23, 38] Operation: 14+24=38
Exploring Operation: 23-14=9, Resulting Numbers: [24, 9]
Generated Node #0,3,3: 21:[24, 9] Operation: 23-14=9
Exploring Operation: 24-23=1, Resulting Numbers: [14, 1]
Generated Node #0,3,4: 21:[14, 1] Operation: 24-23=1
Moving to Node #0,3,0
Current State: 21:[23, 10], Operations: ['46/2=23', '24-14=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,21 unequal: No Solution
Exploring Operation: 23*10=230, Resulting Numbers: [230]
230,21 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[24, 9], Operations: ['46/2=23', '23-14=9']
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,21 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,21 unequal: No Solution
Moving to Node #0,3,4
Current State: 21:[14, 1], Operations: ['46/2=23', '24-23=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Moving to Node #0,3,1
Current State: 21:[24, 37], Operations: ['46/2=23', '14+23=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,21 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[23, 38], Operations: ['46/2=23', '14+24=38']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,21 unequal: No Solution
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[2, 24, 32], Operations: ['46-14=32']
Exploring Operation: 32-2=30, Resulting Numbers: [24, 30]
Generated Node #0,0,0: 21:[24, 30] Operation: 32-2=30
Exploring Operation: 2+24=26, Resulting Numbers: [32, 26]
Generated Node #0,0,1: 21:[32, 26] Operation: 2+24=26
Exploring Operation: 24-2=22, Resulting Numbers: [32, 22]
Generated Node #0,0,2: 21:[32, 22] Operation: 24-2=22
Exploring Operation: 32/2=16, Resulting Numbers: [24, 16]
Generated Node #0,0,3: 21:[24, 16] Operation: 32/2=16
Exploring Operation: 32-24=8, Resulting Numbers: [2, 8]
Generated Node #0,0,4: 21:[2, 8] Operation: 32-24=8
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 21:[2, 8], Operations: ['46-14=32', '32-24=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,21 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,21 unequal: No Solution
No 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: 21:[24, 16], Operations: ['46-14=32', '32/2=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,21 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,21 unequal: No Solution
No 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: 21:[24, 30], Operations: ['46-14=32', '32-2=30']
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,21 unequal: No Solution
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,21 unequal: No Solution
No 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: 21:[32, 22], Operations: ['46-14=32', '24-2=22']
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,21 unequal: No Solution
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,21 unequal: No Solution
No 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: 21:[32, 26], Operations: ['46-14=32', '2+24=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,21 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,21 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: 21:[46, 24, 7], Operations: ['14/2=7']
Exploring Operation: 46+7=53, Resulting Numbers: [24, 53]
Generated Node #0,2,0: 21:[24, 53] Operation: 46+7=53
Exploring Operation: 24+7=31, Resulting Numbers: [46, 31]
Generated Node #0,2,1: 21:[46, 31] Operation: 24+7=31
Exploring Operation: 46-24=22, Resulting Numbers: [7, 22]
Generated Node #0,2,2: 21:[7, 22] Operation: 46-24=22
Exploring Operation: 46-7=39, Resulting Numbers: [24, 39]
Generated Node #0,2,3: 21:[24, 39] Operation: 46-7=39
Exploring Operation: 24-7=17, Resulting Numbers: [46, 17]
Generated Node #0,2,4: 21:[46, 17] Operation: 24-7=17
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[7, 22], Operations: ['14/2=7', '46-24=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,21 unequal: No Solution
No 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: 21:[24, 39], Operations: ['14/2=7', '46-7=39']
Exploring Operation: 24*39=936, Resulting Numbers: [936]
936,21 unequal: No Solution
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,21 unequal: No Solution
No 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: 21:[46, 17], Operations: ['14/2=7', '24-7=17']
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,21 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,21 unequal: No Solution
No 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: 21:[24, 53], Operations: ['14/2=7', '46+7=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,21 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,21 unequal: No Solution
No 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: 21:[46, 31], Operations: ['14/2=7', '24+7=31']
Exploring Operation: 46*31=1426, Resulting Numbers: [1426]
1426,21 unequal: No Solution
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,21 unequal: No Solution
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,21 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: 21:[46, 2, 10], Operations: ['24-14=10']
Exploring Operation: 10-2=8, Resulting Numbers: [46, 8]
Generated Node #0,4,0: 21:[46, 8] Operation: 10-2=8
Exploring Operation: 46/2=23, Resulting Numbers: [10, 23]
Generated Node #0,4,1: 21:[10, 23] Operation: 46/2=23
Exploring Operation: 46-10=36, Resulting Numbers: [2, 36]
Generated Node #0,4,2: 21:[2, 36] Operation: 46-10=36
Exploring Operation: 2*10=20, Resulting Numbers: [46, 20]
Generated Node #0,4,3: 21:[46, 20] Operation: 2*10=20
Exploring Operation: 46-2=44, Resulting Numbers: [10, 44]
Generated Node #0,4,4: 21:[10, 44] Operation: 46-2=44
Moving to Node #0,4,1
Current State: 21:[10, 23], Operations: ['24-14=10', '46/2=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,21 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,21 unequal: No Solution
Moving to Node #0,4,2
Current State: 21:[2, 36], Operations: ['24-14=10', '46-10=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Moving to Node #0,4,0
Current State: 21:[46, 8], Operations: ['24-14=10', '10-2=8']
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,21 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,21 unequal: No Solution
Moving to Node #0,4,3
Current State: 21:[46, 20], Operations: ['24-14=10', '2*10=20']
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,21 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,21 unequal: No Solution
Moving to Node #0,4,4
Current State: 21:[10, 44], Operations: ['24-14=10', '46-2=44']
Exploring Operation: 10*44=440, Resulting Numbers: [440]
440,21 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,21 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 |
[
78,
4,
51,
59
] | 39 | [
"78*4=312",
"59-51=8",
"312/8=39"
] | Current State: 39:[78, 4, 51, 59], Operations: []
Exploring Operation: 78*4=312, Resulting Numbers: [51, 59, 312]
Generated Node #2: [51, 59, 312] from Operation: 78*4=312
Current State: 39:[51, 59, 312], Operations: ['78*4=312']
Exploring Operation: 59-51=8, Resulting Numbers: [312, 8]
Generated Node #3: [312, 8] from Operation: 59-51=8
Current State: 39:[312, 8], Operations: ['78*4=312', '59-51=8']
Exploring Operation: 312/8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[78, 4, 51, 59], Operations: []
Exploring Operation: 78-51=27, Resulting Numbers: [4, 59, 27]
Generated Node #0,0: 39:[4, 59, 27] Operation: 78-51=27
Exploring Operation: 78-59=19, Resulting Numbers: [4, 51, 19]
Generated Node #0,1: 39:[4, 51, 19] Operation: 78-59=19
Moving to Node #0,1
Current State: 39:[4, 51, 19], Operations: ['78-59=19']
Exploring Operation: 51-4=47, Resulting Numbers: [19, 47]
Generated Node #0,1,0: 39:[19, 47] Operation: 51-4=47
Exploring Operation: 51-19=32, Resulting Numbers: [4, 32]
Generated Node #0,1,1: 39:[4, 32] Operation: 51-19=32
Moving to Node #0,0
Current State: 39:[4, 59, 27], Operations: ['78-51=27']
Exploring Operation: 59-27=32, Resulting Numbers: [4, 32]
Generated Node #0,0,0: 39:[4, 32] Operation: 59-27=32
Exploring Operation: 59-4=55, Resulting Numbers: [27, 55]
Generated Node #0,0,1: 39:[27, 55] Operation: 59-4=55
Moving to Node #0,1,1
Current State: 39:[4, 32], Operations: ['78-59=19', '51-19=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[4, 32], Operations: ['78-51=27', '59-27=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[19, 47], Operations: ['78-59=19', '51-4=47']
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[27, 55], Operations: ['78-51=27', '59-4=55']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,39 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
21,
35,
68,
66
] | 16 | [
"35-21=14",
"68-66=2",
"14+2=16"
] | Current State: 16:[21, 35, 68, 66], Operations: []
Exploring Operation: 35-21=14, Resulting Numbers: [68, 66, 14]
Generated Node #2: [68, 66, 14] from Operation: 35-21=14
Current State: 16:[68, 66, 14], Operations: ['35-21=14']
Exploring Operation: 68-66=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 68-66=2
Current State: 16:[14, 2], Operations: ['35-21=14', '68-66=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[21, 35, 68, 66], Operations: []
Exploring Operation: 66-35=31, Resulting Numbers: [21, 68, 31]
Generated Node #0,0: 16:[21, 68, 31] Operation: 66-35=31
Exploring Operation: 68-35=33, Resulting Numbers: [21, 66, 33]
Generated Node #0,1: 16:[21, 66, 33] Operation: 68-35=33
Exploring Operation: 68-21=47, Resulting Numbers: [35, 66, 47]
Generated Node #0,2: 16:[35, 66, 47] Operation: 68-21=47
Exploring Operation: 68-66=2, Resulting Numbers: [21, 35, 2]
Generated Node #0,3: 16:[21, 35, 2] Operation: 68-66=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[21, 35, 2], Operations: ['68-66=2']
Exploring Operation: 21+2=23, Resulting Numbers: [35, 23]
Generated Node #0,3,0: 16:[35, 23] Operation: 21+2=23
Exploring Operation: 21-2=19, Resulting Numbers: [35, 19]
Generated Node #0,3,1: 16:[35, 19] Operation: 21-2=19
Exploring Operation: 35-2=33, Resulting Numbers: [21, 33]
Generated Node #0,3,2: 16:[21, 33] Operation: 35-2=33
Exploring Operation: 35-21=14, Resulting Numbers: [2, 14]
Generated Node #0,3,3: 16:[2, 14] Operation: 35-21=14
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 16:[2, 14], Operations: ['68-66=2', '35-21=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[21, 35, 68, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [21, 35, 2]
Generated Node #0,3: 16:[21, 35, 2] Operation: 68-66=2
Moving to Node #0,3
Current State: 16:[21, 35, 2], Operations: ['68-66=2']
Exploring Operation: 35-21=14, Resulting Numbers: [2, 14]
Generated Node #0,3,3: 16:[2, 14] Operation: 35-21=14
Moving to Node #0,3,3
Current State: 16:[2, 14], Operations: ['68-66=2', '35-21=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
6,
20,
65,
97
] | 46 | [
"20-6=14",
"97-65=32",
"14+32=46"
] | Current State: 46:[6, 20, 65, 97], Operations: []
Exploring Operation: 20-6=14, Resulting Numbers: [65, 97, 14]
Generated Node #2: [65, 97, 14] from Operation: 20-6=14
Current State: 46:[65, 97, 14], Operations: ['20-6=14']
Exploring Operation: 97-65=32, Resulting Numbers: [14, 32]
Generated Node #3: [14, 32] from Operation: 97-65=32
Current State: 46:[14, 32], Operations: ['20-6=14', '97-65=32']
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[6, 20, 65, 97], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [6, 20, 32]
Generated Node #0,0: 46:[6, 20, 32] Operation: 97-65=32
Exploring Operation: 97-20=77, Resulting Numbers: [6, 65, 77]
Generated Node #0,1: 46:[6, 65, 77] Operation: 97-20=77
Exploring Operation: 65-6=59, Resulting Numbers: [20, 97, 59]
Generated Node #0,2: 46:[20, 97, 59] Operation: 65-6=59
Exploring Operation: 65-20=45, Resulting Numbers: [6, 97, 45]
Generated Node #0,3: 46:[6, 97, 45] Operation: 65-20=45
Exploring Operation: 97-6=91, Resulting Numbers: [20, 65, 91]
Generated Node #0,4: 46:[20, 65, 91] Operation: 97-6=91
Moving to Node #0,0
Current State: 46:[6, 20, 32], Operations: ['97-65=32']
Exploring Operation: 32-20=12, Resulting Numbers: [6, 12]
Generated Node #0,0,0: 46:[6, 12] Operation: 32-20=12
Exploring Operation: 6+20=26, Resulting Numbers: [32, 26]
Generated Node #0,0,1: 46:[32, 26] Operation: 6+20=26
Exploring Operation: 32-6=26, Resulting Numbers: [20, 26]
Generated Node #0,0,2: 46:[20, 26] Operation: 32-6=26
Exploring Operation: 20+32=52, Resulting Numbers: [6, 52]
Generated Node #0,0,3: 46:[6, 52] Operation: 20+32=52
Exploring Operation: 6+32=38, Resulting Numbers: [20, 38]
Generated Node #0,0,4: 46:[20, 38] Operation: 6+32=38
Moving to Node #0,1
Current State: 46:[6, 65, 77], Operations: ['97-20=77']
Exploring Operation: 77-6=71, Resulting Numbers: [65, 71]
Generated Node #0,1,0: 46:[65, 71] Operation: 77-6=71
Exploring Operation: 65-6=59, Resulting Numbers: [77, 59]
Generated Node #0,1,1: 46:[77, 59] Operation: 65-6=59
Exploring Operation: 6+77=83, Resulting Numbers: [65, 83]
Generated Node #0,1,2: 46:[65, 83] Operation: 6+77=83
Exploring Operation: 6+65=71, Resulting Numbers: [77, 71]
Generated Node #0,1,3: 46:[77, 71] Operation: 6+65=71
Exploring Operation: 77-65=12, Resulting Numbers: [6, 12]
Generated Node #0,1,4: 46:[6, 12] Operation: 77-65=12
Moving to Node #0,3
Current State: 46:[6, 97, 45], Operations: ['65-20=45']
Exploring Operation: 6+97=103, Resulting Numbers: [45, 103]
Generated Node #0,3,0: 46:[45, 103] Operation: 6+97=103
Exploring Operation: 97-6=91, Resulting Numbers: [45, 91]
Generated Node #0,3,1: 46:[45, 91] Operation: 97-6=91
Exploring Operation: 97-45=52, Resulting Numbers: [6, 52]
Generated Node #0,3,2: 46:[6, 52] Operation: 97-45=52
Exploring Operation: 45-6=39, Resulting Numbers: [97, 39]
Generated Node #0,3,3: 46:[97, 39] Operation: 45-6=39
Exploring Operation: 6+45=51, Resulting Numbers: [97, 51]
Generated Node #0,3,4: 46:[97, 51] Operation: 6+45=51
Moving to Node #0,2
Current State: 46:[20, 97, 59], Operations: ['65-6=59']
Exploring Operation: 20+97=117, Resulting Numbers: [59, 117]
Generated Node #0,2,0: 46:[59, 117] Operation: 20+97=117
Exploring Operation: 97-59=38, Resulting Numbers: [20, 38]
Generated Node #0,2,1: 46:[20, 38] Operation: 97-59=38
Exploring Operation: 20+59=79, Resulting Numbers: [97, 79]
Generated Node #0,2,2: 46:[97, 79] Operation: 20+59=79
Exploring Operation: 97-20=77, Resulting Numbers: [59, 77]
Generated Node #0,2,3: 46:[59, 77] Operation: 97-20=77
Exploring Operation: 59-20=39, Resulting Numbers: [97, 39]
Generated Node #0,2,4: 46:[97, 39] Operation: 59-20=39
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[20, 38], Operations: ['65-6=59', '97-59=38']
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,46 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,46 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 #0,2,3
Current State: 46:[59, 77], Operations: ['65-6=59', '97-20=77']
Exploring Operation: 59*77=4543, Resulting Numbers: [4543]
4543,46 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 59+77=136, Resulting Numbers: [136]
136,46 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 #0,2,4
Current State: 46:[97, 39], Operations: ['65-6=59', '59-20=39']
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 97+39=136, Resulting Numbers: [136]
136,46 unequal: No Solution
Exploring Operation: 97*39=3783, Resulting Numbers: [3783]
3783,46 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 #0,2,0
Current State: 46:[59, 117], Operations: ['65-6=59', '20+97=117']
Exploring Operation: 59*117=6903, Resulting Numbers: [6903]
6903,46 unequal: No Solution
Exploring Operation: 117-59=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 59+117=176, Resulting Numbers: [176]
176,46 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 #0,2,2
Current State: 46:[97, 79], Operations: ['65-6=59', '20+59=79']
Exploring Operation: 97*79=7663, Resulting Numbers: [7663]
7663,46 unequal: No Solution
Exploring Operation: 97-79=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 97+79=176, Resulting Numbers: [176]
176,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 46:[20, 65, 91], Operations: ['97-6=91']
Exploring Operation: 91-65=26, Resulting Numbers: [20, 26]
Generated Node #0,4,0: 46:[20, 26] Operation: 91-65=26
Exploring Operation: 65-20=45, Resulting Numbers: [91, 45]
Generated Node #0,4,1: 46:[91, 45] Operation: 65-20=45
Exploring Operation: 20+91=111, Resulting Numbers: [65, 111]
Generated Node #0,4,2: 46:[65, 111] Operation: 20+91=111
Exploring Operation: 91-20=71, Resulting Numbers: [65, 71]
Generated Node #0,4,3: 46:[65, 71] Operation: 91-20=71
Exploring Operation: 20+65=85, Resulting Numbers: [91, 85]
Generated Node #0,4,4: 46:[91, 85] Operation: 20+65=85
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 46:[20, 26], Operations: ['97-6=91', '91-65=26']
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,46 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[6, 20, 65, 97], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [20, 65, 91]
Generated Node #0,4: 46:[20, 65, 91] Operation: 97-6=91
Moving to Node #0,4
Current State: 46:[20, 65, 91], Operations: ['97-6=91']
Exploring Operation: 91-65=26, Resulting Numbers: [20, 26]
Generated Node #0,4,0: 46:[20, 26] Operation: 91-65=26
Moving to Node #0,4,0
Current State: 46:[20, 26], Operations: ['97-6=91', '91-65=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_5 | sum_heuristic |
[
7,
7,
41,
81
] | 26 | [
"7+7=14",
"81-41=40",
"40-14=26"
] | Current State: 26:[7, 7, 41, 81], Operations: []
Exploring Operation: 7+7=14, Resulting Numbers: [41, 81, 14]
Generated Node #2: [41, 81, 14] from Operation: 7+7=14
Current State: 26:[41, 81, 14], Operations: ['7+7=14']
Exploring Operation: 81-41=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 81-41=40
Current State: 26:[14, 40], Operations: ['7+7=14', '81-41=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[7, 7, 41, 81], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [7, 81, 34]
Generated Node #0,0: 26:[7, 81, 34] Operation: 41-7=34
Exploring Operation: 81-41=40, Resulting Numbers: [7, 7, 40]
Generated Node #0,1: 26:[7, 7, 40] Operation: 81-41=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[7, 7, 40], Operations: ['81-41=40']
Exploring Operation: 40-7=33, Resulting Numbers: [7, 33]
Generated Node #0,1,0: 26:[7, 33] Operation: 40-7=33
Exploring Operation: 40-7=33, Resulting Numbers: [7, 33]
Generated Node #0,1,1: 26:[7, 33] Operation: 40-7=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[7, 33], Operations: ['81-41=40', '40-7=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[7, 7, 41, 81], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [7, 7, 40]
Generated Node #0,1: 26:[7, 7, 40] Operation: 81-41=40
Moving to Node #0,1
Current State: 26:[7, 7, 40], Operations: ['81-41=40']
Exploring Operation: 40-7=33, Resulting Numbers: [7, 33]
Generated Node #0,1,0: 26:[7, 33] Operation: 40-7=33
Moving to Node #0,1,0
Current State: 26:[7, 33], Operations: ['81-41=40', '40-7=33']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
41,
15,
91,
42
] | 75 | [
"41-15=26",
"91-42=49",
"26+49=75"
] | Current State: 75:[41, 15, 91, 42], Operations: []
Exploring Operation: 41-15=26, Resulting Numbers: [91, 42, 26]
Generated Node #2: [91, 42, 26] from Operation: 41-15=26
Current State: 75:[91, 42, 26], Operations: ['41-15=26']
Exploring Operation: 91-42=49, Resulting Numbers: [26, 49]
Generated Node #3: [26, 49] from Operation: 91-42=49
Current State: 75:[26, 49], Operations: ['41-15=26', '91-42=49']
Exploring Operation: 26+49=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[41, 15, 91, 42], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [41, 42, 76]
Generated Node #0,0: 75:[41, 42, 76] Operation: 91-15=76
Exploring Operation: 42-41=1, Resulting Numbers: [15, 91, 1]
Generated Node #0,1: 75:[15, 91, 1] Operation: 42-41=1
Exploring Operation: 42-15=27, Resulting Numbers: [41, 91, 27]
Generated Node #0,2: 75:[41, 91, 27] Operation: 42-15=27
Exploring Operation: 41-15=26, Resulting Numbers: [91, 42, 26]
Generated Node #0,3: 75:[91, 42, 26] Operation: 41-15=26
Exploring Operation: 41+42=83, Resulting Numbers: [15, 91, 83]
Generated Node #0,4: 75:[15, 91, 83] Operation: 41+42=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[15, 91, 1], Operations: ['42-41=1']
Exploring Operation: 91-1=90, Resulting Numbers: [15, 90]
Generated Node #0,1,0: 75:[15, 90] Operation: 91-1=90
Exploring Operation: 15/1=15, Resulting Numbers: [91, 15]
Generated Node #0,1,1: 75:[91, 15] Operation: 15/1=15
Exploring Operation: 91-15=76, Resulting Numbers: [1, 76]
Generated Node #0,1,2: 75:[1, 76] Operation: 91-15=76
Exploring Operation: 91*1=91, Resulting Numbers: [15, 91]
Generated Node #0,1,3: 75:[15, 91] Operation: 91*1=91
Exploring Operation: 15*1=15, Resulting Numbers: [91, 15]
Generated Node #0,1,4: 75:[91, 15] Operation: 15*1=15
Moving to Node #0,1,2
Current State: 75:[1, 76], Operations: ['42-41=1', '91-15=76']
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[41, 15, 91, 42], Operations: []
Exploring Operation: 42-41=1, Resulting Numbers: [15, 91, 1]
Generated Node #0,1: 75:[15, 91, 1] Operation: 42-41=1
Moving to Node #0,1
Current State: 75:[15, 91, 1], Operations: ['42-41=1']
Exploring Operation: 91-15=76, Resulting Numbers: [1, 76]
Generated Node #0,1,2: 75:[1, 76] Operation: 91-15=76
Moving to Node #0,1,2
Current State: 75:[1, 76], Operations: ['42-41=1', '91-15=76']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
44,
10,
54,
33
] | 56 | [
"44-33=11",
"10*11=110",
"110-54=56"
] | Current State: 56:[44, 10, 54, 33], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [10, 54, 11]
Generated Node #2: [10, 54, 11] from Operation: 44-33=11
Current State: 56:[10, 54, 11], Operations: ['44-33=11']
Exploring Operation: 10*11=110, Resulting Numbers: [54, 110]
Generated Node #3: [54, 110] from Operation: 10*11=110
Current State: 56:[54, 110], Operations: ['44-33=11', '10*11=110']
Exploring Operation: 110-54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[44, 10, 54, 33], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [10, 54, 11]
Generated Node #0,0: 56:[10, 54, 11] Operation: 44-33=11
Exploring Operation: 44+10=54, Resulting Numbers: [54, 33, 54]
Generated Node #0,1: 56:[54, 33, 54] Operation: 44+10=54
Moving to Node #0,0
Current State: 56:[10, 54, 11], Operations: ['44-33=11']
Exploring Operation: 10+11=21, Resulting Numbers: [54, 21]
Generated Node #0,0,0: 56:[54, 21] Operation: 10+11=21
Exploring Operation: 11-10=1, Resulting Numbers: [54, 1]
Generated Node #0,0,1: 56:[54, 1] Operation: 11-10=1
Moving to Node #0,1
Current State: 56:[54, 33, 54], Operations: ['44+10=54']
Exploring Operation: 54/54=1, Resulting Numbers: [33, 1]
Generated Node #0,1,0: 56:[33, 1] Operation: 54/54=1
Exploring Operation: 54-54=0, Resulting Numbers: [33, 0]
Generated Node #0,1,1: 56:[33, 0] Operation: 54-54=0
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[33, 1], Operations: ['44+10=54', '54/54=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,56 unequal: No Solution
No 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: 56:[33, 0], Operations: ['44+10=54', '54-54=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 33*0=0, Resulting Numbers: [0]
0,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 56:[54, 1], Operations: ['44-33=11', '11-10=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[54, 21], Operations: ['44-33=11', '10+11=21']
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,56 unequal: No Solution
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,56 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
90,
11,
28,
38
] | 96 | [
"28+38=66",
"66/11=6",
"90+6=96"
] | Current State: 96:[90, 11, 28, 38], Operations: []
Exploring Operation: 28+38=66, Resulting Numbers: [90, 11, 66]
Generated Node #2: [90, 11, 66] from Operation: 28+38=66
Current State: 96:[90, 11, 66], Operations: ['28+38=66']
Exploring Operation: 66/11=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 66/11=6
Current State: 96:[90, 6], Operations: ['28+38=66', '66/11=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[90, 11, 28, 38], Operations: []
Exploring Operation: 90-38=52, Resulting Numbers: [11, 28, 52]
Generated Node #0,0: 96:[11, 28, 52] Operation: 90-38=52
Exploring Operation: 38-28=10, Resulting Numbers: [90, 11, 10]
Generated Node #0,1: 96:[90, 11, 10] Operation: 38-28=10
Moving to Node #0,0
Current State: 96:[11, 28, 52], Operations: ['90-38=52']
Exploring Operation: 52-28=24, Resulting Numbers: [11, 24]
Generated Node #0,0,0: 96:[11, 24] Operation: 52-28=24
Exploring Operation: 28-11=17, Resulting Numbers: [52, 17]
Generated Node #0,0,1: 96:[52, 17] Operation: 28-11=17
Moving to Node #0,1
Current State: 96:[90, 11, 10], Operations: ['38-28=10']
Exploring Operation: 90/10=9, Resulting Numbers: [11, 9]
Generated Node #0,1,0: 96:[11, 9] Operation: 90/10=9
Exploring Operation: 90+10=100, Resulting Numbers: [11, 100]
Generated Node #0,1,1: 96:[11, 100] Operation: 90+10=100
Moving to Node #0,0,0
Current State: 96:[11, 24], Operations: ['90-38=52', '52-28=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[11, 9], Operations: ['38-28=10', '90/10=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[52, 17], Operations: ['90-38=52', '28-11=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[11, 100], Operations: ['38-28=10', '90+10=100']
Exploring Operation: 100-11=89, Resulting Numbers: [89]
89,96 unequal: No Solution
Exploring Operation: 11+100=111, Resulting Numbers: [111]
111,96 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
96,
70,
72,
28
] | 70 | [
"96-70=26",
"72-28=44",
"26+44=70"
] | Current State: 70:[96, 70, 72, 28], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [72, 28, 26]
Generated Node #2: [72, 28, 26] from Operation: 96-70=26
Current State: 70:[72, 28, 26], Operations: ['96-70=26']
Exploring Operation: 72-28=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 72-28=44
Current State: 70:[26, 44], Operations: ['96-70=26', '72-28=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[96, 70, 72, 28], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [96, 72, 42]
Generated Node #0,0: 70:[96, 72, 42] Operation: 70-28=42
Exploring Operation: 96-72=24, Resulting Numbers: [70, 28, 24]
Generated Node #0,1: 70:[70, 28, 24] Operation: 96-72=24
Exploring Operation: 96-28=68, Resulting Numbers: [70, 72, 68]
Generated Node #0,2: 70:[70, 72, 68] Operation: 96-28=68
Exploring Operation: 96-70=26, Resulting Numbers: [72, 28, 26]
Generated Node #0,3: 70:[72, 28, 26] Operation: 96-70=26
Exploring Operation: 72-70=2, Resulting Numbers: [96, 28, 2]
Generated Node #0,4: 70:[96, 28, 2] Operation: 72-70=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[70, 72, 68], Operations: ['96-28=68']
Exploring Operation: 72+68=140, Resulting Numbers: [70, 140]
Generated Node #0,2,0: 70:[70, 140] Operation: 72+68=140
Exploring Operation: 72-68=4, Resulting Numbers: [70, 4]
Generated Node #0,2,1: 70:[70, 4] Operation: 72-68=4
Exploring Operation: 70-68=2, Resulting Numbers: [72, 2]
Generated Node #0,2,2: 70:[72, 2] Operation: 70-68=2
Exploring Operation: 72-70=2, Resulting Numbers: [68, 2]
Generated Node #0,2,3: 70:[68, 2] Operation: 72-70=2
Exploring Operation: 70+68=138, Resulting Numbers: [72, 138]
Generated Node #0,2,4: 70:[72, 138] Operation: 70+68=138
Moving to Node #0,2,1
Current State: 70:[70, 4], Operations: ['96-28=68', '72-68=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 70*4=280, Resulting Numbers: [280]
280,70 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[68, 2], Operations: ['96-28=68', '72-70=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,70 unequal: No Solution
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[96, 70, 72, 28], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [70, 72, 68]
Generated Node #0,2: 70:[70, 72, 68] Operation: 96-28=68
Moving to Node #0,2
Current State: 70:[70, 72, 68], Operations: ['96-28=68']
Exploring Operation: 72-70=2, Resulting Numbers: [68, 2]
Generated Node #0,2,3: 70:[68, 2] Operation: 72-70=2
Moving to Node #0,2,3
Current State: 70:[68, 2], Operations: ['96-28=68', '72-70=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
80,
95,
33,
97
] | 76 | [
"97-33=64",
"95*64=6080",
"6080/80=76"
] | Current State: 76:[80, 95, 33, 97], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [80, 95, 64]
Generated Node #2: [80, 95, 64] from Operation: 97-33=64
Current State: 76:[80, 95, 64], Operations: ['97-33=64']
Exploring Operation: 95*64=6080, Resulting Numbers: [80, 6080]
Generated Node #3: [80, 6080] from Operation: 95*64=6080
Current State: 76:[80, 6080], Operations: ['97-33=64', '95*64=6080']
Exploring Operation: 6080/80=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[80, 95, 33, 97], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [33, 97, 15]
Generated Node #0,0: 76:[33, 97, 15] Operation: 95-80=15
Exploring Operation: 97-80=17, Resulting Numbers: [95, 33, 17]
Generated Node #0,1: 76:[95, 33, 17] Operation: 97-80=17
Exploring Operation: 97-95=2, Resulting Numbers: [80, 33, 2]
Generated Node #0,2: 76:[80, 33, 2] Operation: 97-95=2
Moving to Node #0,2
Current State: 76:[80, 33, 2], Operations: ['97-95=2']
Exploring Operation: 33+2=35, Resulting Numbers: [80, 35]
Generated Node #0,2,0: 76:[80, 35] Operation: 33+2=35
Exploring Operation: 80/2=40, Resulting Numbers: [33, 40]
Generated Node #0,2,1: 76:[33, 40] Operation: 80/2=40
Exploring Operation: 80-2=78, Resulting Numbers: [33, 78]
Generated Node #0,2,2: 76:[33, 78] Operation: 80-2=78
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[80, 35], Operations: ['97-95=2', '33+2=35']
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,76 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,76 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 #0,2,1
Current State: 76:[33, 40], Operations: ['97-95=2', '80/2=40']
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 33*40=1320, Resulting Numbers: [1320]
1320,76 unequal: No Solution
Exploring Operation: 33+40=73, Resulting Numbers: [73]
73,76 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 #0,2,2
Current State: 76:[33, 78], Operations: ['97-95=2', '80-2=78']
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 33+78=111, Resulting Numbers: [111]
111,76 unequal: No Solution
Exploring Operation: 33*78=2574, Resulting Numbers: [2574]
2574,76 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: 76:[95, 33, 17], Operations: ['97-80=17']
Exploring Operation: 33-17=16, Resulting Numbers: [95, 16]
Generated Node #0,1,0: 76:[95, 16] Operation: 33-17=16
Exploring Operation: 95-17=78, Resulting Numbers: [33, 78]
Generated Node #0,1,1: 76:[33, 78] Operation: 95-17=78
Exploring Operation: 95-33=62, Resulting Numbers: [17, 62]
Generated Node #0,1,2: 76:[17, 62] Operation: 95-33=62
Moving to Node #0,0
Current State: 76:[33, 97, 15], Operations: ['95-80=15']
Exploring Operation: 97-15=82, Resulting Numbers: [33, 82]
Generated Node #0,0,0: 76:[33, 82] Operation: 97-15=82
Exploring Operation: 97-33=64, Resulting Numbers: [15, 64]
Generated Node #0,0,1: 76:[15, 64] Operation: 97-33=64
Exploring Operation: 33-15=18, Resulting Numbers: [97, 18]
Generated Node #0,0,2: 76:[97, 18] Operation: 33-15=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[33, 82], Operations: ['95-80=15', '97-15=82']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 33+82=115, Resulting Numbers: [115]
115,76 unequal: No Solution
Exploring Operation: 33*82=2706, Resulting Numbers: [2706]
2706,76 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 #0,0,1
Current State: 76:[15, 64], Operations: ['95-80=15', '97-33=64']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,76 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 #0,0,2
Current State: 76:[97, 18], Operations: ['95-80=15', '33-15=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 97+18=115, Resulting Numbers: [115]
115,76 unequal: No Solution
Exploring Operation: 97*18=1746, Resulting Numbers: [1746]
1746,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 76:[33, 78], Operations: ['97-80=17', '95-17=78']
Exploring Operation: 33*78=2574, Resulting Numbers: [2574]
2574,76 unequal: No Solution
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 33+78=111, Resulting Numbers: [111]
111,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[17, 62], Operations: ['97-80=17', '95-33=62']
Exploring Operation: 17*62=1054, Resulting Numbers: [1054]
1054,76 unequal: No Solution
Exploring Operation: 17+62=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[95, 16], Operations: ['97-80=17', '33-17=16']
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 95+16=111, Resulting Numbers: [111]
111,76 unequal: No Solution
Exploring Operation: 95*16=1520, Resulting Numbers: [1520]
1520,76 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
39,
9,
26,
8
] | 45 | [
"39-26=13",
"13-8=5",
"9*5=45"
] | Current State: 45:[39, 9, 26, 8], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [9, 8, 13]
Generated Node #2: [9, 8, 13] from Operation: 39-26=13
Current State: 45:[9, 8, 13], Operations: ['39-26=13']
Exploring Operation: 13-8=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 13-8=5
Current State: 45:[9, 5], Operations: ['39-26=13', '13-8=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[39, 9, 26, 8], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [9, 8, 13]
Generated Node #0,0: 45:[9, 8, 13] Operation: 39-26=13
Moving to Node #0,0
Current State: 45:[9, 8, 13], Operations: ['39-26=13']
Exploring Operation: 13-8=5, Resulting Numbers: [9, 5]
Generated Node #0,0,0: 45:[9, 5] Operation: 13-8=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[9, 5], Operations: ['39-26=13', '13-8=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[39, 9, 26, 8], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [9, 8, 13]
Generated Node #0,0: 45:[9, 8, 13] Operation: 39-26=13
Moving to Node #0,0
Current State: 45:[9, 8, 13], Operations: ['39-26=13']
Exploring Operation: 13-8=5, Resulting Numbers: [9, 5]
Generated Node #0,0,0: 45:[9, 5] Operation: 13-8=5
Moving to Node #0,0,0
Current State: 45:[9, 5], Operations: ['39-26=13', '13-8=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
66,
75,
16,
81
] | 63 | [
"75-66=9",
"16*9=144",
"144-81=63"
] | Current State: 63:[66, 75, 16, 81], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [16, 81, 9]
Generated Node #2: [16, 81, 9] from Operation: 75-66=9
Current State: 63:[16, 81, 9], Operations: ['75-66=9']
Exploring Operation: 16*9=144, Resulting Numbers: [81, 144]
Generated Node #3: [81, 144] from Operation: 16*9=144
Current State: 63:[81, 144], Operations: ['75-66=9', '16*9=144']
Exploring Operation: 144-81=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[66, 75, 16, 81], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [66, 16, 6]
Generated Node #0,0: 63:[66, 16, 6] Operation: 81-75=6
Exploring Operation: 81-66=15, Resulting Numbers: [75, 16, 15]
Generated Node #0,1: 63:[75, 16, 15] Operation: 81-66=15
Exploring Operation: 81-16=65, Resulting Numbers: [66, 75, 65]
Generated Node #0,2: 63:[66, 75, 65] Operation: 81-16=65
Exploring Operation: 75-66=9, Resulting Numbers: [16, 81, 9]
Generated Node #0,3: 63:[16, 81, 9] Operation: 75-66=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[66, 16, 6], Operations: ['81-75=6']
Exploring Operation: 66-6=60, Resulting Numbers: [16, 60]
Generated Node #0,0,0: 63:[16, 60] Operation: 66-6=60
Exploring Operation: 16+6=22, Resulting Numbers: [66, 22]
Generated Node #0,0,1: 63:[66, 22] Operation: 16+6=22
Exploring Operation: 66/6=11, Resulting Numbers: [16, 11]
Generated Node #0,0,2: 63:[16, 11] Operation: 66/6=11
Exploring Operation: 16-6=10, Resulting Numbers: [66, 10]
Generated Node #0,0,3: 63:[66, 10] Operation: 16-6=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[66, 22], Operations: ['81-75=6', '16+6=22']
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 66*22=1452, Resulting Numbers: [1452]
1452,63 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 63:[66, 10], Operations: ['81-75=6', '16-6=10']
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,63 unequal: No Solution
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 63:[16, 11], Operations: ['81-75=6', '66/6=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[16, 60], Operations: ['81-75=6', '66-6=60']
Exploring Operation: 16+60=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 16*60=960, Resulting Numbers: [960]
960,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[66, 75, 65], Operations: ['81-16=65']
Exploring Operation: 75-65=10, Resulting Numbers: [66, 10]
Generated Node #0,2,0: 63:[66, 10] Operation: 75-65=10
Exploring Operation: 66-65=1, Resulting Numbers: [75, 1]
Generated Node #0,2,1: 63:[75, 1] Operation: 66-65=1
Exploring Operation: 66+75=141, Resulting Numbers: [65, 141]
Generated Node #0,2,2: 63:[65, 141] Operation: 66+75=141
Exploring Operation: 75-66=9, Resulting Numbers: [65, 9]
Generated Node #0,2,3: 63:[65, 9] Operation: 75-66=9
Moving to Node #0,2,3
Current State: 63:[65, 9], Operations: ['81-16=65', '75-66=9']
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,63 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[66, 10], Operations: ['81-16=65', '75-65=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[75, 1], Operations: ['81-16=65', '66-65=1']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[65, 141], Operations: ['81-16=65', '66+75=141']
Exploring Operation: 65*141=9165, Resulting Numbers: [9165]
9165,63 unequal: No Solution
Exploring Operation: 65+141=206, Resulting Numbers: [206]
206,63 unequal: No Solution
Exploring Operation: 141-65=76, Resulting Numbers: [76]
76,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[75, 16, 15], Operations: ['81-66=15']
Exploring Operation: 75-16=59, Resulting Numbers: [15, 59]
Generated Node #0,1,0: 63:[15, 59] Operation: 75-16=59
Exploring Operation: 75/15=5, Resulting Numbers: [16, 5]
Generated Node #0,1,1: 63:[16, 5] Operation: 75/15=5
Exploring Operation: 16-15=1, Resulting Numbers: [75, 1]
Generated Node #0,1,2: 63:[75, 1] Operation: 16-15=1
Exploring Operation: 75-15=60, Resulting Numbers: [16, 60]
Generated Node #0,1,3: 63:[16, 60] Operation: 75-15=60
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[16, 5], Operations: ['81-66=15', '75/15=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,63 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 63:[16, 60], Operations: ['81-66=15', '75-15=60']
Exploring Operation: 16+60=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 16*60=960, Resulting Numbers: [960]
960,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[15, 59], Operations: ['81-66=15', '75-16=59']
Exploring Operation: 15*59=885, Resulting Numbers: [885]
885,63 unequal: No Solution
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 15+59=74, Resulting Numbers: [74]
74,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 63:[75, 1], Operations: ['81-66=15', '16-15=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[16, 81, 9], Operations: ['75-66=9']
Exploring Operation: 81-16=65, Resulting Numbers: [9, 65]
Generated Node #0,3,0: 63:[9, 65] Operation: 81-16=65
Exploring Operation: 16-9=7, Resulting Numbers: [81, 7]
Generated Node #0,3,1: 63:[81, 7] Operation: 16-9=7
Exploring Operation: 81/9=9, Resulting Numbers: [16, 9]
Generated Node #0,3,2: 63:[16, 9] Operation: 81/9=9
Exploring Operation: 81-9=72, Resulting Numbers: [16, 72]
Generated Node #0,3,3: 63:[16, 72] Operation: 81-9=72
Moving to Node #0,3,0
Current State: 63:[9, 65], Operations: ['75-66=9', '81-16=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,63 unequal: No Solution
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[16, 9], Operations: ['75-66=9', '81/9=9']
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,63 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[16, 72], Operations: ['75-66=9', '81-9=72']
Exploring Operation: 16+72=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,63 unequal: No Solution
Exploring Operation: 16*72=1152, Resulting Numbers: [1152]
1152,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[81, 7], Operations: ['75-66=9', '16-9=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Exploring Operation: 81*7=567, Resulting Numbers: [567]
567,63 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 |
[
24,
80,
31,
13
] | 11 | [
"31-24=7",
"13*7=91",
"91-80=11"
] | Current State: 11:[24, 80, 31, 13], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [80, 13, 7]
Generated Node #2: [80, 13, 7] from Operation: 31-24=7
Current State: 11:[80, 13, 7], Operations: ['31-24=7']
Exploring Operation: 13*7=91, Resulting Numbers: [80, 91]
Generated Node #3: [80, 91] from Operation: 13*7=91
Current State: 11:[80, 91], Operations: ['31-24=7', '13*7=91']
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[24, 80, 31, 13], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [31, 13, 56]
Generated Node #0,0: 11:[31, 13, 56] Operation: 80-24=56
Exploring Operation: 31-24=7, Resulting Numbers: [80, 13, 7]
Generated Node #0,1: 11:[80, 13, 7] Operation: 31-24=7
Exploring Operation: 80-31=49, Resulting Numbers: [24, 13, 49]
Generated Node #0,2: 11:[24, 13, 49] Operation: 80-31=49
Moving to Node #0,2
Current State: 11:[24, 13, 49], Operations: ['80-31=49']
Exploring Operation: 49-24=25, Resulting Numbers: [13, 25]
Generated Node #0,2,0: 11:[13, 25] Operation: 49-24=25
Exploring Operation: 49-13=36, Resulting Numbers: [24, 36]
Generated Node #0,2,1: 11:[24, 36] Operation: 49-13=36
Exploring Operation: 24-13=11, Resulting Numbers: [49, 11]
Generated Node #0,2,2: 11:[49, 11] Operation: 24-13=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[13, 25], Operations: ['80-31=49', '49-24=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,11 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,11 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 #0,2,1
Current State: 11:[24, 36], Operations: ['80-31=49', '49-13=36']
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,11 unequal: No Solution
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,11 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:[49, 11], Operations: ['80-31=49', '24-13=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,11 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: 11:[31, 13, 56], Operations: ['80-24=56']
Exploring Operation: 31-13=18, Resulting Numbers: [56, 18]
Generated Node #0,0,0: 11:[56, 18] Operation: 31-13=18
Exploring Operation: 56-13=43, Resulting Numbers: [31, 43]
Generated Node #0,0,1: 11:[31, 43] Operation: 56-13=43
Exploring Operation: 56-31=25, Resulting Numbers: [13, 25]
Generated Node #0,0,2: 11:[13, 25] Operation: 56-31=25
Moving to Node #0,1
Current State: 11:[80, 13, 7], Operations: ['31-24=7']
Exploring Operation: 13-7=6, Resulting Numbers: [80, 6]
Generated Node #0,1,0: 11:[80, 6] Operation: 13-7=6
Exploring Operation: 80-13=67, Resulting Numbers: [7, 67]
Generated Node #0,1,1: 11:[7, 67] Operation: 80-13=67
Exploring Operation: 80-7=73, Resulting Numbers: [13, 73]
Generated Node #0,1,2: 11:[13, 73] Operation: 80-7=73
Moving to Node #0,0,2
Current State: 11:[13, 25], Operations: ['80-24=56', '56-31=25']
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,11 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[31, 43], Operations: ['80-24=56', '56-13=43']
Exploring Operation: 31+43=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 31*43=1333, Resulting Numbers: [1333]
1333,11 unequal: No Solution
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[56, 18], Operations: ['80-24=56', '31-13=18']
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[7, 67], Operations: ['31-24=7', '80-13=67']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 7+67=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 7*67=469, Resulting Numbers: [469]
469,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[13, 73], Operations: ['31-24=7', '80-7=73']
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 13*73=949, Resulting Numbers: [949]
949,11 unequal: No Solution
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[80, 6], Operations: ['31-24=7', '13-7=6']
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,11 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,11 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
9,
51,
12,
33
] | 87 | [
"51-9=42",
"12+33=45",
"42+45=87"
] | Current State: 87:[9, 51, 12, 33], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [12, 33, 42]
Generated Node #2: [12, 33, 42] from Operation: 51-9=42
Current State: 87:[12, 33, 42], Operations: ['51-9=42']
Exploring Operation: 12+33=45, Resulting Numbers: [42, 45]
Generated Node #3: [42, 45] from Operation: 12+33=45
Current State: 87:[42, 45], Operations: ['51-9=42', '12+33=45']
Exploring Operation: 42+45=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[9, 51, 12, 33], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [12, 33, 42]
Generated Node #0,0: 87:[12, 33, 42] Operation: 51-9=42
Exploring Operation: 12-9=3, Resulting Numbers: [51, 33, 3]
Generated Node #0,1: 87:[51, 33, 3] Operation: 12-9=3
Exploring Operation: 51+33=84, Resulting Numbers: [9, 12, 84]
Generated Node #0,2: 87:[9, 12, 84] Operation: 51+33=84
Exploring Operation: 51-12=39, Resulting Numbers: [9, 33, 39]
Generated Node #0,3: 87:[9, 33, 39] Operation: 51-12=39
Exploring Operation: 51-33=18, Resulting Numbers: [9, 12, 18]
Generated Node #0,4: 87:[9, 12, 18] Operation: 51-33=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[9, 12, 84], Operations: ['51+33=84']
Exploring Operation: 9+12=21, Resulting Numbers: [84, 21]
Generated Node #0,2,0: 87:[84, 21] Operation: 9+12=21
Exploring Operation: 84/12=7, Resulting Numbers: [9, 7]
Generated Node #0,2,1: 87:[9, 7] Operation: 84/12=7
Exploring Operation: 12-9=3, Resulting Numbers: [84, 3]
Generated Node #0,2,2: 87:[84, 3] Operation: 12-9=3
Exploring Operation: 12+84=96, Resulting Numbers: [9, 96]
Generated Node #0,2,3: 87:[9, 96] Operation: 12+84=96
Exploring Operation: 9+84=93, Resulting Numbers: [12, 93]
Generated Node #0,2,4: 87:[12, 93] Operation: 9+84=93
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 87:[84, 3], Operations: ['51+33=84', '12-9=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,87 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,87 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[9, 51, 12, 33], Operations: []
Exploring Operation: 51+33=84, Resulting Numbers: [9, 12, 84]
Generated Node #0,2: 87:[9, 12, 84] Operation: 51+33=84
Moving to Node #0,2
Current State: 87:[9, 12, 84], Operations: ['51+33=84']
Exploring Operation: 12-9=3, Resulting Numbers: [84, 3]
Generated Node #0,2,2: 87:[84, 3] Operation: 12-9=3
Moving to Node #0,2,2
Current State: 87:[84, 3], Operations: ['51+33=84', '12-9=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
38,
19,
6,
24
] | 20 | [
"38/19=2",
"24-6=18",
"2+18=20"
] | Current State: 20:[38, 19, 6, 24], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [6, 24, 2]
Generated Node #2: [6, 24, 2] from Operation: 38/19=2
Current State: 20:[6, 24, 2], Operations: ['38/19=2']
Exploring Operation: 24-6=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 24-6=18
Current State: 20:[2, 18], Operations: ['38/19=2', '24-6=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[38, 19, 6, 24], Operations: []
Exploring Operation: 38-19=19, Resulting Numbers: [6, 24, 19]
Generated Node #0,0: 20:[6, 24, 19] Operation: 38-19=19
Exploring Operation: 38-24=14, Resulting Numbers: [19, 6, 14]
Generated Node #0,1: 20:[19, 6, 14] Operation: 38-24=14
Exploring Operation: 38-6=32, Resulting Numbers: [19, 24, 32]
Generated Node #0,2: 20:[19, 24, 32] Operation: 38-6=32
Exploring Operation: 38/19=2, Resulting Numbers: [6, 24, 2]
Generated Node #0,3: 20:[6, 24, 2] Operation: 38/19=2
Moving to Node #0,3
Current State: 20:[6, 24, 2], Operations: ['38/19=2']
Exploring Operation: 24/6=4, Resulting Numbers: [2, 4]
Generated Node #0,3,0: 20:[2, 4] Operation: 24/6=4
Exploring Operation: 24-6=18, Resulting Numbers: [2, 18]
Generated Node #0,3,1: 20:[2, 18] Operation: 24-6=18
Exploring Operation: 24/2=12, Resulting Numbers: [6, 12]
Generated Node #0,3,2: 20:[6, 12] Operation: 24/2=12
Exploring Operation: 24-2=22, Resulting Numbers: [6, 22]
Generated Node #0,3,3: 20:[6, 22] Operation: 24-2=22
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 20:[2, 4], Operations: ['38/19=2', '24/6=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,20 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No 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: 20:[2, 18], Operations: ['38/19=2', '24-6=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[38, 19, 6, 24], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [6, 24, 2]
Generated Node #0,3: 20:[6, 24, 2] Operation: 38/19=2
Moving to Node #0,3
Current State: 20:[6, 24, 2], Operations: ['38/19=2']
Exploring Operation: 24-6=18, Resulting Numbers: [2, 18]
Generated Node #0,3,1: 20:[2, 18] Operation: 24-6=18
Moving to Node #0,3,1
Current State: 20:[2, 18], Operations: ['38/19=2', '24-6=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
45,
14,
47,
66
] | 47 | [
"47-45=2",
"66/2=33",
"14+33=47"
] | Current State: 47:[45, 14, 47, 66], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [14, 66, 2]
Generated Node #2: [14, 66, 2] from Operation: 47-45=2
Current State: 47:[14, 66, 2], Operations: ['47-45=2']
Exploring Operation: 66/2=33, Resulting Numbers: [14, 33]
Generated Node #3: [14, 33] from Operation: 66/2=33
Current State: 47:[14, 33], Operations: ['47-45=2', '66/2=33']
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[45, 14, 47, 66], Operations: []
Exploring Operation: 47-14=33, Resulting Numbers: [45, 66, 33]
Generated Node #0,0: 47:[45, 66, 33] Operation: 47-14=33
Exploring Operation: 66-14=52, Resulting Numbers: [45, 47, 52]
Generated Node #0,1: 47:[45, 47, 52] Operation: 66-14=52
Exploring Operation: 45-14=31, Resulting Numbers: [47, 66, 31]
Generated Node #0,2: 47:[47, 66, 31] Operation: 45-14=31
Exploring Operation: 45+14=59, Resulting Numbers: [47, 66, 59]
Generated Node #0,3: 47:[47, 66, 59] Operation: 45+14=59
Exploring Operation: 14+47=61, Resulting Numbers: [45, 66, 61]
Generated Node #0,4: 47:[45, 66, 61] Operation: 14+47=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[45, 47, 52], Operations: ['66-14=52']
Exploring Operation: 52-45=7, Resulting Numbers: [47, 7]
Generated Node #0,1,0: 47:[47, 7] Operation: 52-45=7
Exploring Operation: 52-47=5, Resulting Numbers: [45, 5]
Generated Node #0,1,1: 47:[45, 5] Operation: 52-47=5
Exploring Operation: 45+47=92, Resulting Numbers: [52, 92]
Generated Node #0,1,2: 47:[52, 92] Operation: 45+47=92
Exploring Operation: 45+52=97, Resulting Numbers: [47, 97]
Generated Node #0,1,3: 47:[47, 97] Operation: 45+52=97
Exploring Operation: 47-45=2, Resulting Numbers: [52, 2]
Generated Node #0,1,4: 47:[52, 2] Operation: 47-45=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[47, 7], Operations: ['66-14=52', '52-45=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,47 unequal: No Solution
No 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: 47:[45, 5], Operations: ['66-14=52', '52-47=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,47 unequal: No Solution
No 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: 47:[52, 92], Operations: ['66-14=52', '45+47=92']
Exploring Operation: 52+92=144, Resulting Numbers: [144]
144,47 unequal: No Solution
Exploring Operation: 52*92=4784, Resulting Numbers: [4784]
4784,47 unequal: No Solution
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,47 unequal: No Solution
No 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: 47:[47, 97], Operations: ['66-14=52', '45+52=97']
Exploring Operation: 47*97=4559, Resulting Numbers: [4559]
4559,47 unequal: No Solution
Exploring Operation: 47+97=144, Resulting Numbers: [144]
144,47 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 47:[52, 2], Operations: ['66-14=52', '47-45=2']
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,47 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,47 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: 47:[47, 66, 59], Operations: ['45+14=59']
Exploring Operation: 59-47=12, Resulting Numbers: [66, 12]
Generated Node #0,3,0: 47:[66, 12] Operation: 59-47=12
Exploring Operation: 47+66=113, Resulting Numbers: [59, 113]
Generated Node #0,3,1: 47:[59, 113] Operation: 47+66=113
Exploring Operation: 66-47=19, Resulting Numbers: [59, 19]
Generated Node #0,3,2: 47:[59, 19] Operation: 66-47=19
Exploring Operation: 47+59=106, Resulting Numbers: [66, 106]
Generated Node #0,3,3: 47:[66, 106] Operation: 47+59=106
Exploring Operation: 66-59=7, Resulting Numbers: [47, 7]
Generated Node #0,3,4: 47:[47, 7] Operation: 66-59=7
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[59, 19], Operations: ['45+14=59', '66-47=19']
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 59*19=1121, Resulting Numbers: [1121]
1121,47 unequal: No Solution
No 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: 47:[47, 7], Operations: ['45+14=59', '66-59=7']
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,47 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,47 unequal: No Solution
No 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: 47:[66, 12], Operations: ['45+14=59', '59-47=12']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 66+12=78, Resulting Numbers: [78]
78,47 unequal: No Solution
Exploring Operation: 66*12=792, Resulting Numbers: [792]
792,47 unequal: No Solution
No 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: 47:[59, 113], Operations: ['45+14=59', '47+66=113']
Exploring Operation: 113-59=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 59*113=6667, Resulting Numbers: [6667]
6667,47 unequal: No Solution
Exploring Operation: 59+113=172, Resulting Numbers: [172]
172,47 unequal: No Solution
No 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: 47:[66, 106], Operations: ['45+14=59', '47+59=106']
Exploring Operation: 106-66=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 66+106=172, Resulting Numbers: [172]
172,47 unequal: No Solution
Exploring Operation: 66*106=6996, Resulting Numbers: [6996]
6996,47 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: 47:[45, 66, 33], Operations: ['47-14=33']
Exploring Operation: 66/33=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 47:[45, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [45, 33]
Generated Node #0,0,1: 47:[45, 33] Operation: 66-33=33
Exploring Operation: 66-45=21, Resulting Numbers: [33, 21]
Generated Node #0,0,2: 47:[33, 21] Operation: 66-45=21
Exploring Operation: 45-33=12, Resulting Numbers: [66, 12]
Generated Node #0,0,3: 47:[66, 12] Operation: 45-33=12
Exploring Operation: 45+33=78, Resulting Numbers: [66, 78]
Generated Node #0,0,4: 47:[66, 78] Operation: 45+33=78
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[45, 33], Operations: ['47-14=33', '66-33=33']
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 45*33=1485, Resulting Numbers: [1485]
1485,47 unequal: No Solution
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,47 unequal: No Solution
No 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: 47:[33, 21], Operations: ['47-14=33', '66-45=21']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,47 unequal: No Solution
No 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: 47:[45, 2], Operations: ['47-14=33', '66/33=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[45, 14, 47, 66], Operations: []
Exploring Operation: 47-14=33, Resulting Numbers: [45, 66, 33]
Generated Node #0,0: 47:[45, 66, 33] Operation: 47-14=33
Moving to Node #0,0
Current State: 47:[45, 66, 33], Operations: ['47-14=33']
Exploring Operation: 66/33=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 47:[45, 2] Operation: 66/33=2
Moving to Node #0,0,0
Current State: 47:[45, 2], Operations: ['47-14=33', '66/33=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.945313 | hs_5 | sum_heuristic |
[
91,
25,
72,
85
] | 32 | [
"85-72=13",
"91/13=7",
"25+7=32"
] | Current State: 32:[91, 25, 72, 85], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [91, 25, 13]
Generated Node #2: [91, 25, 13] from Operation: 85-72=13
Current State: 32:[91, 25, 13], Operations: ['85-72=13']
Exploring Operation: 91/13=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 91/13=7
Current State: 32:[25, 7], Operations: ['85-72=13', '91/13=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[91, 25, 72, 85], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [25, 85, 19]
Generated Node #0,0: 32:[25, 85, 19] Operation: 91-72=19
Exploring Operation: 91-85=6, Resulting Numbers: [25, 72, 6]
Generated Node #0,1: 32:[25, 72, 6] Operation: 91-85=6
Exploring Operation: 85-72=13, Resulting Numbers: [91, 25, 13]
Generated Node #0,2: 32:[91, 25, 13] Operation: 85-72=13
Moving to Node #0,1
Current State: 32:[25, 72, 6], Operations: ['91-85=6']
Exploring Operation: 72-25=47, Resulting Numbers: [6, 47]
Generated Node #0,1,0: 32:[6, 47] Operation: 72-25=47
Exploring Operation: 25+6=31, Resulting Numbers: [72, 31]
Generated Node #0,1,1: 32:[72, 31] Operation: 25+6=31
Exploring Operation: 72/6=12, Resulting Numbers: [25, 12]
Generated Node #0,1,2: 32:[25, 12] Operation: 72/6=12
Moving to Node #0,0
Current State: 32:[25, 85, 19], Operations: ['91-72=19']
Exploring Operation: 85-19=66, Resulting Numbers: [25, 66]
Generated Node #0,0,0: 32:[25, 66] Operation: 85-19=66
Exploring Operation: 25-19=6, Resulting Numbers: [85, 6]
Generated Node #0,0,1: 32:[85, 6] Operation: 25-19=6
Exploring Operation: 85-25=60, Resulting Numbers: [19, 60]
Generated Node #0,0,2: 32:[19, 60] Operation: 85-25=60
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[19, 60], Operations: ['91-72=19', '85-25=60']
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,32 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[25, 66], Operations: ['91-72=19', '85-19=66']
Exploring Operation: 25+66=91, Resulting Numbers: [91]
91,32 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 25*66=1650, Resulting Numbers: [1650]
1650,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[85, 6], Operations: ['91-72=19', '25-19=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,32 unequal: No Solution
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,32 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 32:[91, 25, 13], Operations: ['85-72=13']
Exploring Operation: 91-25=66, Resulting Numbers: [13, 66]
Generated Node #0,2,0: 32:[13, 66] Operation: 91-25=66
Exploring Operation: 91/13=7, Resulting Numbers: [25, 7]
Generated Node #0,2,1: 32:[25, 7] Operation: 91/13=7
Exploring Operation: 91-13=78, Resulting Numbers: [25, 78]
Generated Node #0,2,2: 32:[25, 78] Operation: 91-13=78
Moving to Node #0,2,1
Current State: 32:[25, 7], Operations: ['85-72=13', '91/13=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[91, 25, 72, 85], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [91, 25, 13]
Generated Node #0,2: 32:[91, 25, 13] Operation: 85-72=13
Moving to Node #0,2
Current State: 32:[91, 25, 13], Operations: ['85-72=13']
Exploring Operation: 91/13=7, Resulting Numbers: [25, 7]
Generated Node #0,2,1: 32:[25, 7] Operation: 91/13=7
Moving to Node #0,2,1
Current State: 32:[25, 7], Operations: ['85-72=13', '91/13=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
53,
2,
13,
48
] | 86 | [
"53-2=51",
"48-13=35",
"51+35=86"
] | Current State: 86:[53, 2, 13, 48], Operations: []
Exploring Operation: 53-2=51, Resulting Numbers: [13, 48, 51]
Generated Node #2: [13, 48, 51] from Operation: 53-2=51
Current State: 86:[13, 48, 51], Operations: ['53-2=51']
Exploring Operation: 48-13=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 48-13=35
Current State: 86:[51, 35], Operations: ['53-2=51', '48-13=35']
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[53, 2, 13, 48], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [2, 48, 40]
Generated Node #0,0: 86:[2, 48, 40] Operation: 53-13=40
Exploring Operation: 53-48=5, Resulting Numbers: [2, 13, 5]
Generated Node #0,1: 86:[2, 13, 5] Operation: 53-48=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[2, 48, 40], Operations: ['53-13=40']
Exploring Operation: 48-2=46, Resulting Numbers: [40, 46]
Generated Node #0,0,0: 86:[40, 46] Operation: 48-2=46
Exploring Operation: 48+40=88, Resulting Numbers: [2, 88]
Generated Node #0,0,1: 86:[2, 88] Operation: 48+40=88
Moving to Node #0,0,1
Current State: 86:[2, 88], Operations: ['53-13=40', '48+40=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[53, 2, 13, 48], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [2, 48, 40]
Generated Node #0,0: 86:[2, 48, 40] Operation: 53-13=40
Moving to Node #0,0
Current State: 86:[2, 48, 40], Operations: ['53-13=40']
Exploring Operation: 48+40=88, Resulting Numbers: [2, 88]
Generated Node #0,0,1: 86:[2, 88] Operation: 48+40=88
Moving to Node #0,0,1
Current State: 86:[2, 88], Operations: ['53-13=40', '48+40=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
72,
38,
15,
84
] | 65 | [
"72-38=34",
"15+84=99",
"99-34=65"
] | Current State: 65:[72, 38, 15, 84], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [15, 84, 34]
Generated Node #2: [15, 84, 34] from Operation: 72-38=34
Current State: 65:[15, 84, 34], Operations: ['72-38=34']
Exploring Operation: 15+84=99, Resulting Numbers: [34, 99]
Generated Node #3: [34, 99] from Operation: 15+84=99
Current State: 65:[34, 99], Operations: ['72-38=34', '15+84=99']
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[72, 38, 15, 84], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [38, 15, 12]
Generated Node #0,0: 65:[38, 15, 12] Operation: 84-72=12
Exploring Operation: 38-15=23, Resulting Numbers: [72, 84, 23]
Generated Node #0,1: 65:[72, 84, 23] Operation: 38-15=23
Exploring Operation: 84-15=69, Resulting Numbers: [72, 38, 69]
Generated Node #0,2: 65:[72, 38, 69] Operation: 84-15=69
Exploring Operation: 84-38=46, Resulting Numbers: [72, 15, 46]
Generated Node #0,3: 65:[72, 15, 46] Operation: 84-38=46
Moving to Node #0,0
Current State: 65:[38, 15, 12], Operations: ['84-72=12']
Exploring Operation: 38-15=23, Resulting Numbers: [12, 23]
Generated Node #0,0,0: 65:[12, 23] Operation: 38-15=23
Exploring Operation: 38-12=26, Resulting Numbers: [15, 26]
Generated Node #0,0,1: 65:[15, 26] Operation: 38-12=26
Exploring Operation: 38+15=53, Resulting Numbers: [12, 53]
Generated Node #0,0,2: 65:[12, 53] Operation: 38+15=53
Exploring Operation: 38+12=50, Resulting Numbers: [15, 50]
Generated Node #0,0,3: 65:[15, 50] Operation: 38+12=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[12, 23], Operations: ['84-72=12', '38-15=23']
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,65 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,65 unequal: No Solution
No 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: 65:[12, 53], Operations: ['84-72=12', '38+15=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[72, 38, 15, 84], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [38, 15, 12]
Generated Node #0,0: 65:[38, 15, 12] Operation: 84-72=12
Moving to Node #0,0
Current State: 65:[38, 15, 12], Operations: ['84-72=12']
Exploring Operation: 38+15=53, Resulting Numbers: [12, 53]
Generated Node #0,0,2: 65:[12, 53] Operation: 38+15=53
Moving to Node #0,0,2
Current State: 65:[12, 53], Operations: ['84-72=12', '38+15=53']
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
40,
7,
61,
58
] | 11 | [
"40-7=33",
"61-58=3",
"33/3=11"
] | Current State: 11:[40, 7, 61, 58], Operations: []
Exploring Operation: 40-7=33, Resulting Numbers: [61, 58, 33]
Generated Node #2: [61, 58, 33] from Operation: 40-7=33
Current State: 11:[61, 58, 33], Operations: ['40-7=33']
Exploring Operation: 61-58=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 61-58=3
Current State: 11:[33, 3], Operations: ['40-7=33', '61-58=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[40, 7, 61, 58], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [7, 61, 18]
Generated Node #0,0: 11:[7, 61, 18] Operation: 58-40=18
Exploring Operation: 61-58=3, Resulting Numbers: [40, 7, 3]
Generated Node #0,1: 11:[40, 7, 3] Operation: 61-58=3
Exploring Operation: 40-7=33, Resulting Numbers: [61, 58, 33]
Generated Node #0,2: 11:[61, 58, 33] Operation: 40-7=33
Exploring Operation: 61-40=21, Resulting Numbers: [7, 58, 21]
Generated Node #0,3: 11:[7, 58, 21] Operation: 61-40=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[40, 7, 3], Operations: ['61-58=3']
Exploring Operation: 7+3=10, Resulting Numbers: [40, 10]
Generated Node #0,1,0: 11:[40, 10] Operation: 7+3=10
Exploring Operation: 40+3=43, Resulting Numbers: [7, 43]
Generated Node #0,1,1: 11:[7, 43] Operation: 40+3=43
Exploring Operation: 40-7=33, Resulting Numbers: [3, 33]
Generated Node #0,1,2: 11:[3, 33] Operation: 40-7=33
Exploring Operation: 40-3=37, Resulting Numbers: [7, 37]
Generated Node #0,1,3: 11:[7, 37] Operation: 40-3=37
Moving to Node #0,1,0
Current State: 11:[40, 10], Operations: ['61-58=3', '7+3=10']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,11 unequal: No Solution
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[7, 37], Operations: ['61-58=3', '40-3=37']
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,11 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[3, 33], Operations: ['61-58=3', '40-7=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[40, 7, 61, 58], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [40, 7, 3]
Generated Node #0,1: 11:[40, 7, 3] Operation: 61-58=3
Moving to Node #0,1
Current State: 11:[40, 7, 3], Operations: ['61-58=3']
Exploring Operation: 40-7=33, Resulting Numbers: [3, 33]
Generated Node #0,1,2: 11:[3, 33] Operation: 40-7=33
Moving to Node #0,1,2
Current State: 11:[3, 33], Operations: ['61-58=3', '40-7=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
7,
85,
28,
21
] | 29 | [
"85-7=78",
"28+21=49",
"78-49=29"
] | Current State: 29:[7, 85, 28, 21], Operations: []
Exploring Operation: 85-7=78, Resulting Numbers: [28, 21, 78]
Generated Node #2: [28, 21, 78] from Operation: 85-7=78
Current State: 29:[28, 21, 78], Operations: ['85-7=78']
Exploring Operation: 28+21=49, Resulting Numbers: [78, 49]
Generated Node #3: [78, 49] from Operation: 28+21=49
Current State: 29:[78, 49], Operations: ['85-7=78', '28+21=49']
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[7, 85, 28, 21], Operations: []
Exploring Operation: 85-7=78, Resulting Numbers: [28, 21, 78]
Generated Node #0,0: 29:[28, 21, 78] Operation: 85-7=78
Moving to Node #0,0
Current State: 29:[28, 21, 78], Operations: ['85-7=78']
Exploring Operation: 78-28=50, Resulting Numbers: [21, 50]
Generated Node #0,0,0: 29:[21, 50] Operation: 78-28=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[21, 50], Operations: ['85-7=78', '78-28=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[7, 85, 28, 21], Operations: []
Exploring Operation: 85-7=78, Resulting Numbers: [28, 21, 78]
Generated Node #0,0: 29:[28, 21, 78] Operation: 85-7=78
Moving to Node #0,0
Current State: 29:[28, 21, 78], Operations: ['85-7=78']
Exploring Operation: 78-28=50, Resulting Numbers: [21, 50]
Generated Node #0,0,0: 29:[21, 50] Operation: 78-28=50
Moving to Node #0,0,0
Current State: 29:[21, 50], Operations: ['85-7=78', '78-28=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
71,
79,
79,
26
] | 71 | [
"79-79=0",
"26*0=0",
"71+0=71"
] | Current State: 71:[71, 79, 79, 26], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [71, 26, 0]
Generated Node #2: [71, 26, 0] from Operation: 79-79=0
Current State: 71:[71, 26, 0], Operations: ['79-79=0']
Exploring Operation: 26*0=0, Resulting Numbers: [71, 0]
Generated Node #3: [71, 0] from Operation: 26*0=0
Current State: 71:[71, 0], Operations: ['79-79=0', '26*0=0']
Exploring Operation: 71+0=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[71, 79, 79, 26], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [79, 79, 45]
Generated Node #0,0: 71:[79, 79, 45] Operation: 71-26=45
Exploring Operation: 71+26=97, Resulting Numbers: [79, 79, 97]
Generated Node #0,1: 71:[79, 79, 97] Operation: 71+26=97
Exploring Operation: 79+26=105, Resulting Numbers: [71, 79, 105]
Generated Node #0,2: 71:[71, 79, 105] Operation: 79+26=105
Exploring Operation: 79-26=53, Resulting Numbers: [71, 79, 53]
Generated Node #0,3: 71:[71, 79, 53] Operation: 79-26=53
Exploring Operation: 79-26=53, Resulting Numbers: [71, 79, 53]
Generated Node #0,4: 71:[71, 79, 53] Operation: 79-26=53
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[71, 79, 53], Operations: ['79-26=53']
Exploring Operation: 79+53=132, Resulting Numbers: [71, 132]
Generated Node #0,3,0: 71:[71, 132] Operation: 79+53=132
Exploring Operation: 79-53=26, Resulting Numbers: [71, 26]
Generated Node #0,3,1: 71:[71, 26] Operation: 79-53=26
Exploring Operation: 71+53=124, Resulting Numbers: [79, 124]
Generated Node #0,3,2: 71:[79, 124] Operation: 71+53=124
Exploring Operation: 71-53=18, Resulting Numbers: [79, 18]
Generated Node #0,3,3: 71:[79, 18] Operation: 71-53=18
Exploring Operation: 79-71=8, Resulting Numbers: [53, 8]
Generated Node #0,3,4: 71:[53, 8] Operation: 79-71=8
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[71, 26], Operations: ['79-26=53', '79-53=26']
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,71 unequal: No Solution
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 71:[71, 132], Operations: ['79-26=53', '79+53=132']
Exploring Operation: 132-71=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 71+132=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Exploring Operation: 71*132=9372, Resulting Numbers: [9372]
9372,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 71:[79, 124], Operations: ['79-26=53', '71+53=124']
Exploring Operation: 79*124=9796, Resulting Numbers: [9796]
9796,71 unequal: No Solution
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 79+124=203, Resulting Numbers: [203]
203,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 71:[79, 18], Operations: ['79-26=53', '71-53=18']
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,71 unequal: No Solution
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 71:[53, 8], Operations: ['79-26=53', '79-71=8']
Exploring Operation: 53*8=424, Resulting Numbers: [424]
424,71 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 53+8=61, Resulting Numbers: [61]
61,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 71:[71, 79, 53], Operations: ['79-26=53']
Exploring Operation: 79-53=26, Resulting Numbers: [71, 26]
Generated Node #0,4,0: 71:[71, 26] Operation: 79-53=26
Exploring Operation: 79+53=132, Resulting Numbers: [71, 132]
Generated Node #0,4,1: 71:[71, 132] Operation: 79+53=132
Exploring Operation: 71+53=124, Resulting Numbers: [79, 124]
Generated Node #0,4,2: 71:[79, 124] Operation: 71+53=124
Exploring Operation: 79-71=8, Resulting Numbers: [53, 8]
Generated Node #0,4,3: 71:[53, 8] Operation: 79-71=8
Exploring Operation: 71-53=18, Resulting Numbers: [79, 18]
Generated Node #0,4,4: 71:[79, 18] Operation: 71-53=18
Moving to Node #0,4,0
Current State: 71:[71, 26], Operations: ['79-26=53', '79-53=26']
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,71 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[79, 124], Operations: ['79-26=53', '71+53=124']
Exploring Operation: 79+124=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Exploring Operation: 79*124=9796, Resulting Numbers: [9796]
9796,71 unequal: No Solution
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[71, 132], Operations: ['79-26=53', '79+53=132']
Exploring Operation: 71*132=9372, Resulting Numbers: [9372]
9372,71 unequal: No Solution
Exploring Operation: 132-71=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 71+132=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Moving to Node #0,4,4
Current State: 71:[79, 18], Operations: ['79-26=53', '71-53=18']
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,71 unequal: No Solution
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Moving to Node #0,4,3
Current State: 71:[53, 8], Operations: ['79-26=53', '79-71=8']
Exploring Operation: 53+8=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 53*8=424, Resulting Numbers: [424]
424,71 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[79, 79, 45], Operations: ['71-26=45']
Exploring Operation: 79+45=124, Resulting Numbers: [79, 124]
Generated Node #0,0,0: 71:[79, 124] Operation: 79+45=124
Exploring Operation: 79/79=1, Resulting Numbers: [45, 1]
Generated Node #0,0,1: 71:[45, 1] Operation: 79/79=1
Exploring Operation: 79+45=124, Resulting Numbers: [79, 124]
Generated Node #0,0,2: 71:[79, 124] Operation: 79+45=124
Exploring Operation: 79-45=34, Resulting Numbers: [79, 34]
Generated Node #0,0,3: 71:[79, 34] Operation: 79-45=34
Exploring Operation: 79-45=34, Resulting Numbers: [79, 34]
Generated Node #0,0,4: 71:[79, 34] Operation: 79-45=34
Moving to Node #0,0,3
Current State: 71:[79, 34], Operations: ['71-26=45', '79-45=34']
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,71 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Moving to Node #0,0,4
Current State: 71:[79, 34], Operations: ['71-26=45', '79-45=34']
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,71 unequal: No Solution
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[79, 124], Operations: ['71-26=45', '79+45=124']
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 79*124=9796, Resulting Numbers: [9796]
9796,71 unequal: No Solution
Exploring Operation: 79+124=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[79, 124], Operations: ['71-26=45', '79+45=124']
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 79*124=9796, Resulting Numbers: [9796]
9796,71 unequal: No Solution
Exploring Operation: 79+124=203, Resulting Numbers: [203]
203,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[45, 1], Operations: ['71-26=45', '79/79=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[79, 79, 97], Operations: ['71+26=97']
Exploring Operation: 97-79=18, Resulting Numbers: [79, 18]
Generated Node #0,1,0: 71:[79, 18] Operation: 97-79=18
Exploring Operation: 79+79=158, Resulting Numbers: [97, 158]
Generated Node #0,1,1: 71:[97, 158] Operation: 79+79=158
Exploring Operation: 97-79=18, Resulting Numbers: [79, 18]
Generated Node #0,1,2: 71:[79, 18] Operation: 97-79=18
Exploring Operation: 79-79=0, Resulting Numbers: [97, 0]
Generated Node #0,1,3: 71:[97, 0] Operation: 79-79=0
Exploring Operation: 79/79=1, Resulting Numbers: [97, 1]
Generated Node #0,1,4: 71:[97, 1] Operation: 79/79=1
Moving to Node #0,1,0
Current State: 71:[79, 18], Operations: ['71+26=97', '97-79=18']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[79, 18], Operations: ['71+26=97', '97-79=18']
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,71 unequal: No Solution
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Moving to Node #0,1,4
Current State: 71:[97, 1], Operations: ['71+26=97', '79/79=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 97+1=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[97, 0], Operations: ['71+26=97', '79-79=0']
Exploring Operation: 97*0=0, Resulting Numbers: [0]
0,71 unequal: No Solution
Exploring Operation: 97-0=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[97, 158], Operations: ['71+26=97', '79+79=158']
Exploring Operation: 158-97=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 97+158=255, Resulting Numbers: [255]
255,71 unequal: No Solution
Exploring Operation: 97*158=15326, Resulting Numbers: [15326]
15326,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[71, 79, 105], Operations: ['79+26=105']
Exploring Operation: 71+105=176, Resulting Numbers: [79, 176]
Generated Node #0,2,0: 71:[79, 176] Operation: 71+105=176
Exploring Operation: 105-71=34, Resulting Numbers: [79, 34]
Generated Node #0,2,1: 71:[79, 34] Operation: 105-71=34
Exploring Operation: 105-79=26, Resulting Numbers: [71, 26]
Generated Node #0,2,2: 71:[71, 26] Operation: 105-79=26
Exploring Operation: 71+79=150, Resulting Numbers: [105, 150]
Generated Node #0,2,3: 71:[105, 150] Operation: 71+79=150
Exploring Operation: 79-71=8, Resulting Numbers: [105, 8]
Generated Node #0,2,4: 71:[105, 8] Operation: 79-71=8
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[79, 34], Operations: ['79+26=105', '105-71=34']
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,71 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[71, 26], Operations: ['79+26=105', '105-79=26']
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,71 unequal: No Solution
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 71:[105, 8], Operations: ['79+26=105', '79-71=8']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 105+8=113, Resulting Numbers: [113]
113,71 unequal: No Solution
Exploring Operation: 105*8=840, Resulting Numbers: [840]
840,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[79, 176], Operations: ['79+26=105', '71+105=176']
Exploring Operation: 79*176=13904, Resulting Numbers: [13904]
13904,71 unequal: No Solution
Exploring Operation: 176-79=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 79+176=255, Resulting Numbers: [255]
255,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 71:[105, 150], Operations: ['79+26=105', '71+79=150']
Exploring Operation: 105+150=255, Resulting Numbers: [255]
255,71 unequal: No Solution
Exploring Operation: 105*150=15750, Resulting Numbers: [15750]
15750,71 unequal: No Solution
Exploring Operation: 150-105=45, Resulting Numbers: [45]
45,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
32,
95,
2,
36
] | 80 | [
"32*95=3040",
"2+36=38",
"3040/38=80"
] | Current State: 80:[32, 95, 2, 36], Operations: []
Exploring Operation: 32*95=3040, Resulting Numbers: [2, 36, 3040]
Generated Node #2: [2, 36, 3040] from Operation: 32*95=3040
Current State: 80:[2, 36, 3040], Operations: ['32*95=3040']
Exploring Operation: 2+36=38, Resulting Numbers: [3040, 38]
Generated Node #3: [3040, 38] from Operation: 2+36=38
Current State: 80:[3040, 38], Operations: ['32*95=3040', '2+36=38']
Exploring Operation: 3040/38=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[32, 95, 2, 36], Operations: []
Exploring Operation: 95-32=63, Resulting Numbers: [2, 36, 63]
Generated Node #0,0: 80:[2, 36, 63] Operation: 95-32=63
Exploring Operation: 36-32=4, Resulting Numbers: [95, 2, 4]
Generated Node #0,1: 80:[95, 2, 4] Operation: 36-32=4
Exploring Operation: 95-2=93, Resulting Numbers: [32, 36, 93]
Generated Node #0,2: 80:[32, 36, 93] Operation: 95-2=93
Exploring Operation: 32/2=16, Resulting Numbers: [95, 36, 16]
Generated Node #0,3: 80:[95, 36, 16] Operation: 32/2=16
Exploring Operation: 32+2=34, Resulting Numbers: [95, 36, 34]
Generated Node #0,4: 80:[95, 36, 34] Operation: 32+2=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[95, 2, 4], Operations: ['36-32=4']
Exploring Operation: 4-2=2, Resulting Numbers: [95, 2]
Generated Node #0,1,0: 80:[95, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [95, 2]
Generated Node #0,1,1: 80:[95, 2] Operation: 4/2=2
Exploring Operation: 95-2=93, Resulting Numbers: [4, 93]
Generated Node #0,1,2: 80:[4, 93] Operation: 95-2=93
Exploring Operation: 95-4=91, Resulting Numbers: [2, 91]
Generated Node #0,1,3: 80:[2, 91] Operation: 95-4=91
Exploring Operation: 2*4=8, Resulting Numbers: [95, 8]
Generated Node #0,1,4: 80:[95, 8] Operation: 2*4=8
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 80:[2, 91], Operations: ['36-32=4', '95-4=91']
Exploring Operation: 2*91=182, Resulting Numbers: [182]
182,80 unequal: No Solution
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,80 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:[4, 93], Operations: ['36-32=4', '95-2=93']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 4+93=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 4*93=372, Resulting Numbers: [372]
372,80 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 #0,1,0
Current State: 80:[95, 2], Operations: ['36-32=4', '4-2=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,80 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,80 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:[95, 2], Operations: ['36-32=4', '4/2=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,80 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 #0,1,4
Current State: 80:[95, 8], Operations: ['36-32=4', '2*4=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,80 unequal: No Solution
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,80 unequal: No Solution
Exploring Operation: 95*8=760, Resulting Numbers: [760]
760,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[95, 36, 16], Operations: ['32/2=16']
Exploring Operation: 95+16=111, Resulting Numbers: [36, 111]
Generated Node #0,3,0: 80:[36, 111] Operation: 95+16=111
Exploring Operation: 36-16=20, Resulting Numbers: [95, 20]
Generated Node #0,3,1: 80:[95, 20] Operation: 36-16=20
Exploring Operation: 36+16=52, Resulting Numbers: [95, 52]
Generated Node #0,3,2: 80:[95, 52] Operation: 36+16=52
Exploring Operation: 95-36=59, Resulting Numbers: [16, 59]
Generated Node #0,3,3: 80:[16, 59] Operation: 95-36=59
Exploring Operation: 95-16=79, Resulting Numbers: [36, 79]
Generated Node #0,3,4: 80:[36, 79] Operation: 95-16=79
Moving to Node #0,3,4
Current State: 80:[36, 79], Operations: ['32/2=16', '95-16=79']
Exploring Operation: 36*79=2844, Resulting Numbers: [2844]
2844,80 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 36+79=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[95, 20], Operations: ['32/2=16', '36-16=20']
Exploring Operation: 95+20=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Exploring Operation: 95*20=1900, Resulting Numbers: [1900]
1900,80 unequal: No Solution
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[16, 59], Operations: ['32/2=16', '95-36=59']
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,80 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[95, 52], Operations: ['32/2=16', '36+16=52']
Exploring Operation: 95*52=4940, Resulting Numbers: [4940]
4940,80 unequal: No Solution
Exploring Operation: 95+52=147, Resulting Numbers: [147]
147,80 unequal: No Solution
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[36, 111], Operations: ['32/2=16', '95+16=111']
Exploring Operation: 111-36=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 36*111=3996, Resulting Numbers: [3996]
3996,80 unequal: No Solution
Exploring Operation: 36+111=147, Resulting Numbers: [147]
147,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[2, 36, 63], Operations: ['95-32=63']
Exploring Operation: 2+36=38, Resulting Numbers: [63, 38]
Generated Node #0,0,0: 80:[63, 38] Operation: 2+36=38
Exploring Operation: 63-36=27, Resulting Numbers: [2, 27]
Generated Node #0,0,1: 80:[2, 27] Operation: 63-36=27
Exploring Operation: 36/2=18, Resulting Numbers: [63, 18]
Generated Node #0,0,2: 80:[63, 18] Operation: 36/2=18
Exploring Operation: 36+63=99, Resulting Numbers: [2, 99]
Generated Node #0,0,3: 80:[2, 99] Operation: 36+63=99
Exploring Operation: 2+63=65, Resulting Numbers: [36, 65]
Generated Node #0,0,4: 80:[36, 65] Operation: 2+63=65
Moving to Node #0,0,1
Current State: 80:[2, 27], Operations: ['95-32=63', '63-36=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[63, 18], Operations: ['95-32=63', '36/2=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,80 unequal: No Solution
Moving to Node #0,0,4
Current State: 80:[36, 65], Operations: ['95-32=63', '2+63=65']
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,80 unequal: No Solution
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,80 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[63, 38], Operations: ['95-32=63', '2+36=38']
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,80 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,80 unequal: No Solution
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[2, 99], Operations: ['95-32=63', '36+63=99']
Exploring Operation: 2*99=198, Resulting Numbers: [198]
198,80 unequal: No Solution
Exploring Operation: 2+99=101, Resulting Numbers: [101]
101,80 unequal: No Solution
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[32, 36, 93], Operations: ['95-2=93']
Exploring Operation: 93-32=61, Resulting Numbers: [36, 61]
Generated Node #0,2,0: 80:[36, 61] Operation: 93-32=61
Exploring Operation: 32+93=125, Resulting Numbers: [36, 125]
Generated Node #0,2,1: 80:[36, 125] Operation: 32+93=125
Exploring Operation: 36-32=4, Resulting Numbers: [93, 4]
Generated Node #0,2,2: 80:[93, 4] Operation: 36-32=4
Exploring Operation: 93-36=57, Resulting Numbers: [32, 57]
Generated Node #0,2,3: 80:[32, 57] Operation: 93-36=57
Exploring Operation: 32+36=68, Resulting Numbers: [93, 68]
Generated Node #0,2,4: 80:[93, 68] Operation: 32+36=68
Moving to Node #0,2,2
Current State: 80:[93, 4], Operations: ['95-2=93', '36-32=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[36, 61], Operations: ['95-2=93', '93-32=61']
Exploring Operation: 36*61=2196, Resulting Numbers: [2196]
2196,80 unequal: No Solution
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[32, 57], Operations: ['95-2=93', '93-36=57']
Exploring Operation: 32*57=1824, Resulting Numbers: [1824]
1824,80 unequal: No Solution
Exploring Operation: 32+57=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,2,4
Current State: 80:[93, 68], Operations: ['95-2=93', '32+36=68']
Exploring Operation: 93*68=6324, Resulting Numbers: [6324]
6324,80 unequal: No Solution
Exploring Operation: 93+68=161, Resulting Numbers: [161]
161,80 unequal: No Solution
Exploring Operation: 93-68=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[36, 125], Operations: ['95-2=93', '32+93=125']
Exploring Operation: 36*125=4500, Resulting Numbers: [4500]
4500,80 unequal: No Solution
Exploring Operation: 36+125=161, Resulting Numbers: [161]
161,80 unequal: No Solution
Exploring Operation: 125-36=89, Resulting Numbers: [89]
89,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 80:[95, 36, 34], Operations: ['32+2=34']
Exploring Operation: 95+34=129, Resulting Numbers: [36, 129]
Generated Node #0,4,0: 80:[36, 129] Operation: 95+34=129
Exploring Operation: 95-36=59, Resulting Numbers: [34, 59]
Generated Node #0,4,1: 80:[34, 59] Operation: 95-36=59
Exploring Operation: 95-34=61, Resulting Numbers: [36, 61]
Generated Node #0,4,2: 80:[36, 61] Operation: 95-34=61
Exploring Operation: 36+34=70, Resulting Numbers: [95, 70]
Generated Node #0,4,3: 80:[95, 70] Operation: 36+34=70
Exploring Operation: 36-34=2, Resulting Numbers: [95, 2]
Generated Node #0,4,4: 80:[95, 2] Operation: 36-34=2
Moving to Node #0,4,4
Current State: 80:[95, 2], Operations: ['32+2=34', '36-34=2']
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,80 unequal: No Solution
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Moving to Node #0,4,2
Current State: 80:[36, 61], Operations: ['32+2=34', '95-34=61']
Exploring Operation: 36*61=2196, Resulting Numbers: [2196]
2196,80 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Moving to Node #0,4,1
Current State: 80:[34, 59], Operations: ['32+2=34', '95-36=59']
Exploring Operation: 34*59=2006, Resulting Numbers: [2006]
2006,80 unequal: No Solution
Exploring Operation: 34+59=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Moving to Node #0,4,3
Current State: 80:[95, 70], Operations: ['32+2=34', '36+34=70']
Exploring Operation: 95-70=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 95+70=165, Resulting Numbers: [165]
165,80 unequal: No Solution
Exploring Operation: 95*70=6650, Resulting Numbers: [6650]
6650,80 unequal: No Solution
Moving to Node #0,4,0
Current State: 80:[36, 129], Operations: ['32+2=34', '95+34=129']
Exploring Operation: 36+129=165, Resulting Numbers: [165]
165,80 unequal: No Solution
Exploring Operation: 36*129=4644, Resulting Numbers: [4644]
4644,80 unequal: No Solution
Exploring Operation: 129-36=93, Resulting Numbers: [93]
93,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
30,
80,
38,
40
] | 22 | [
"30*80=2400",
"2400/40=60",
"60-38=22"
] | Current State: 22:[30, 80, 38, 40], Operations: []
Exploring Operation: 30*80=2400, Resulting Numbers: [38, 40, 2400]
Generated Node #2: [38, 40, 2400] from Operation: 30*80=2400
Current State: 22:[38, 40, 2400], Operations: ['30*80=2400']
Exploring Operation: 2400/40=60, Resulting Numbers: [38, 60]
Generated Node #3: [38, 60] from Operation: 2400/40=60
Current State: 22:[38, 60], Operations: ['30*80=2400', '2400/40=60']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[30, 80, 38, 40], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [30, 38, 2]
Generated Node #0,0: 22:[30, 38, 2] Operation: 80/40=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[30, 38, 2], Operations: ['80/40=2']
Exploring Operation: 38-30=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 22:[2, 8] Operation: 38-30=8
Moving to Node #0,0,0
Current State: 22:[2, 8], Operations: ['80/40=2', '38-30=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
34,
2,
86,
33
] | 86 | [
"34-2=32",
"33-32=1",
"86*1=86"
] | Current State: 86:[34, 2, 86, 33], Operations: []
Exploring Operation: 34-2=32, Resulting Numbers: [86, 33, 32]
Generated Node #2: [86, 33, 32] from Operation: 34-2=32
Current State: 86:[86, 33, 32], Operations: ['34-2=32']
Exploring Operation: 33-32=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 33-32=1
Current State: 86:[86, 1], Operations: ['34-2=32', '33-32=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[34, 2, 86, 33], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [2, 86, 1]
Generated Node #0,0: 86:[2, 86, 1] Operation: 34-33=1
Exploring Operation: 34+2=36, Resulting Numbers: [86, 33, 36]
Generated Node #0,1: 86:[86, 33, 36] Operation: 34+2=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[2, 86, 1], Operations: ['34-33=1']
Exploring Operation: 2/1=2, Resulting Numbers: [86, 2]
Generated Node #0,0,0: 86:[86, 2] Operation: 2/1=2
Exploring Operation: 2*1=2, Resulting Numbers: [86, 2]
Generated Node #0,0,1: 86:[86, 2] Operation: 2*1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[86, 2], Operations: ['34-33=1', '2/1=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,86 unequal: No Solution
No 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: 86:[86, 2], Operations: ['34-33=1', '2*1=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,86 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: 86:[86, 33, 36], Operations: ['34+2=36']
Exploring Operation: 86-33=53, Resulting Numbers: [36, 53]
Generated Node #0,1,0: 86:[36, 53] Operation: 86-33=53
Exploring Operation: 36-33=3, Resulting Numbers: [86, 3]
Generated Node #0,1,1: 86:[86, 3] Operation: 36-33=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[86, 3], Operations: ['34+2=36', '36-33=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,86 unequal: No Solution
No 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: 86:[36, 53], Operations: ['34+2=36', '86-33=53']
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
94,
95,
11,
82
] | 72 | [
"95-94=1",
"82-11=71",
"1+71=72"
] | Current State: 72:[94, 95, 11, 82], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [11, 82, 1]
Generated Node #2: [11, 82, 1] from Operation: 95-94=1
Current State: 72:[11, 82, 1], Operations: ['95-94=1']
Exploring Operation: 82-11=71, Resulting Numbers: [1, 71]
Generated Node #3: [1, 71] from Operation: 82-11=71
Current State: 72:[1, 71], Operations: ['95-94=1', '82-11=71']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[94, 95, 11, 82], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [11, 82, 1]
Generated Node #0,0: 72:[11, 82, 1] Operation: 95-94=1
Exploring Operation: 94-82=12, Resulting Numbers: [95, 11, 12]
Generated Node #0,1: 72:[95, 11, 12] Operation: 94-82=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[11, 82, 1], Operations: ['95-94=1']
Exploring Operation: 82-11=71, Resulting Numbers: [1, 71]
Generated Node #0,0,0: 72:[1, 71] Operation: 82-11=71
Exploring Operation: 11+1=12, Resulting Numbers: [82, 12]
Generated Node #0,0,1: 72:[82, 12] Operation: 11+1=12
Moving to Node #0,0,0
Current State: 72:[1, 71], Operations: ['95-94=1', '82-11=71']
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[94, 95, 11, 82], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [11, 82, 1]
Generated Node #0,0: 72:[11, 82, 1] Operation: 95-94=1
Moving to Node #0,0
Current State: 72:[11, 82, 1], Operations: ['95-94=1']
Exploring Operation: 82-11=71, Resulting Numbers: [1, 71]
Generated Node #0,0,0: 72:[1, 71] Operation: 82-11=71
Moving to Node #0,0,0
Current State: 72:[1, 71], Operations: ['95-94=1', '82-11=71']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
47,
54,
48,
50
] | 99 | [
"47+54=101",
"50-48=2",
"101-2=99"
] | Current State: 99:[47, 54, 48, 50], Operations: []
Exploring Operation: 47+54=101, Resulting Numbers: [48, 50, 101]
Generated Node #2: [48, 50, 101] from Operation: 47+54=101
Current State: 99:[48, 50, 101], Operations: ['47+54=101']
Exploring Operation: 50-48=2, Resulting Numbers: [101, 2]
Generated Node #3: [101, 2] from Operation: 50-48=2
Current State: 99:[101, 2], Operations: ['47+54=101', '50-48=2']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[47, 54, 48, 50], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [47, 48, 4]
Generated Node #0,0: 99:[47, 48, 4] Operation: 54-50=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[47, 48, 4], Operations: ['54-50=4']
Exploring Operation: 48-47=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 99:[4, 1] Operation: 48-47=1
Moving to Node #0,0,0
Current State: 99:[4, 1], Operations: ['54-50=4', '48-47=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
76,
2,
1
] | 64 | [
"76+1=77",
"2*77=154",
"154-90=64"
] | Current State: 64:[90, 76, 2, 1], Operations: []
Exploring Operation: 76+1=77, Resulting Numbers: [90, 2, 77]
Generated Node #2: [90, 2, 77] from Operation: 76+1=77
Current State: 64:[90, 2, 77], Operations: ['76+1=77']
Exploring Operation: 2*77=154, Resulting Numbers: [90, 154]
Generated Node #3: [90, 154] from Operation: 2*77=154
Current State: 64:[90, 154], Operations: ['76+1=77', '2*77=154']
Exploring Operation: 154-90=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[90, 76, 2, 1], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [2, 1, 14]
Generated Node #0,0: 64:[2, 1, 14] Operation: 90-76=14
Exploring Operation: 90/2=45, Resulting Numbers: [76, 1, 45]
Generated Node #0,1: 64:[76, 1, 45] Operation: 90/2=45
Exploring Operation: 90-2=88, Resulting Numbers: [76, 1, 88]
Generated Node #0,2: 64:[76, 1, 88] Operation: 90-2=88
Exploring Operation: 76/2=38, Resulting Numbers: [90, 1, 38]
Generated Node #0,3: 64:[90, 1, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[2, 1, 14], Operations: ['90-76=14']
Exploring Operation: 2/1=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 64:[14, 2] Operation: 2/1=2
Exploring Operation: 2*1=2, Resulting Numbers: [14, 2]
Generated Node #0,0,1: 64:[14, 2] Operation: 2*1=2
Exploring Operation: 1+14=15, Resulting Numbers: [2, 15]
Generated Node #0,0,2: 64:[2, 15] Operation: 1+14=15
Exploring Operation: 2+14=16, Resulting Numbers: [1, 16]
Generated Node #0,0,3: 64:[1, 16] Operation: 2+14=16
Moving to Node #0,0,2
Current State: 64:[2, 15], Operations: ['90-76=14', '1+14=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[1, 16], Operations: ['90-76=14', '2+14=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[14, 2], Operations: ['90-76=14', '2*1=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[14, 2], Operations: ['90-76=14', '2/1=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,64 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:[76, 1, 45], Operations: ['90/2=45']
Exploring Operation: 76-45=31, Resulting Numbers: [1, 31]
Generated Node #0,1,0: 64:[1, 31] Operation: 76-45=31
Exploring Operation: 45-1=44, Resulting Numbers: [76, 44]
Generated Node #0,1,1: 64:[76, 44] Operation: 45-1=44
Exploring Operation: 76-1=75, Resulting Numbers: [45, 75]
Generated Node #0,1,2: 64:[45, 75] Operation: 76-1=75
Exploring Operation: 76*1=76, Resulting Numbers: [45, 76]
Generated Node #0,1,3: 64:[45, 76] Operation: 76*1=76
Moving to Node #0,1,0
Current State: 64:[1, 31], Operations: ['90/2=45', '76-45=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[45, 75], Operations: ['90/2=45', '76-1=75']
Exploring Operation: 45*75=3375, Resulting Numbers: [3375]
3375,64 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 45+75=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[76, 44], Operations: ['90/2=45', '45-1=44']
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 76+44=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 76*44=3344, Resulting Numbers: [3344]
3344,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[45, 76], Operations: ['90/2=45', '76*1=76']
Exploring Operation: 45*76=3420, Resulting Numbers: [3420]
3420,64 unequal: No Solution
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 45+76=121, Resulting Numbers: [121]
121,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[90, 1, 38], Operations: ['76/2=38']
Exploring Operation: 90-1=89, Resulting Numbers: [38, 89]
Generated Node #0,3,0: 64:[38, 89] Operation: 90-1=89
Exploring Operation: 90*1=90, Resulting Numbers: [38, 90]
Generated Node #0,3,1: 64:[38, 90] Operation: 90*1=90
Exploring Operation: 38-1=37, Resulting Numbers: [90, 37]
Generated Node #0,3,2: 64:[90, 37] Operation: 38-1=37
Exploring Operation: 90-38=52, Resulting Numbers: [1, 52]
Generated Node #0,3,3: 64:[1, 52] Operation: 90-38=52
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 64:[1, 52], Operations: ['76/2=38', '90-38=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 1+52=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 64:[38, 89], Operations: ['76/2=38', '90-1=89']
Exploring Operation: 38*89=3382, Resulting Numbers: [3382]
3382,64 unequal: No Solution
Exploring Operation: 38+89=127, Resulting Numbers: [127]
127,64 unequal: No Solution
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 64:[90, 37], Operations: ['76/2=38', '38-1=37']
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,64 unequal: No Solution
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 90*37=3330, Resulting Numbers: [3330]
3330,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 64:[38, 90], Operations: ['76/2=38', '90*1=90']
Exploring Operation: 38+90=128, Resulting Numbers: [128]
128,64 unequal: No Solution
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 38*90=3420, Resulting Numbers: [3420]
3420,64 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:[76, 1, 88], Operations: ['90-2=88']
Exploring Operation: 76-1=75, Resulting Numbers: [88, 75]
Generated Node #0,2,0: 64:[88, 75] Operation: 76-1=75
Exploring Operation: 88-76=12, Resulting Numbers: [1, 12]
Generated Node #0,2,1: 64:[1, 12] Operation: 88-76=12
Exploring Operation: 88-1=87, Resulting Numbers: [76, 87]
Generated Node #0,2,2: 64:[76, 87] Operation: 88-1=87
Exploring Operation: 76*1=76, Resulting Numbers: [88, 76]
Generated Node #0,2,3: 64:[88, 76] Operation: 76*1=76
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 64:[1, 12], Operations: ['90-2=88', '88-76=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,64 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 #0,2,0
Current State: 64:[88, 75], Operations: ['90-2=88', '76-1=75']
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 88+75=163, Resulting Numbers: [163]
163,64 unequal: No Solution
Exploring Operation: 88*75=6600, Resulting Numbers: [6600]
6600,64 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 #0,2,2
Current State: 64:[76, 87], Operations: ['90-2=88', '88-1=87']
Exploring Operation: 76+87=163, Resulting Numbers: [163]
163,64 unequal: No Solution
Exploring Operation: 76*87=6612, Resulting Numbers: [6612]
6612,64 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,64 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 #0,2,3
Current State: 64:[88, 76], Operations: ['90-2=88', '76*1=76']
Exploring Operation: 88*76=6688, Resulting Numbers: [6688]
6688,64 unequal: No Solution
Exploring Operation: 88+76=164, Resulting Numbers: [164]
164,64 unequal: No Solution
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,64 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_4 | mult_heuristic |
[
73,
86,
42,
75
] | 22 | [
"75-73=2",
"86-42=44",
"44/2=22"
] | Current State: 22:[73, 86, 42, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [86, 42, 2]
Generated Node #2: [86, 42, 2] from Operation: 75-73=2
Current State: 22:[86, 42, 2], Operations: ['75-73=2']
Exploring Operation: 86-42=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 86-42=44
Current State: 22:[2, 44], Operations: ['75-73=2', '86-42=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[73, 86, 42, 75], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [42, 75, 13]
Generated Node #0,0: 22:[42, 75, 13] Operation: 86-73=13
Exploring Operation: 86-75=11, Resulting Numbers: [73, 42, 11]
Generated Node #0,1: 22:[73, 42, 11] Operation: 86-75=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[73, 42, 11], Operations: ['86-75=11']
Exploring Operation: 73-42=31, Resulting Numbers: [11, 31]
Generated Node #0,1,0: 22:[11, 31] Operation: 73-42=31
Exploring Operation: 73-11=62, Resulting Numbers: [42, 62]
Generated Node #0,1,1: 22:[42, 62] Operation: 73-11=62
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[11, 31], Operations: ['86-75=11', '73-42=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No 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: 22:[42, 62], Operations: ['86-75=11', '73-11=62']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,22 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: 22:[42, 75, 13], Operations: ['86-73=13']
Exploring Operation: 42-13=29, Resulting Numbers: [75, 29]
Generated Node #0,0,0: 22:[75, 29] Operation: 42-13=29
Exploring Operation: 75-42=33, Resulting Numbers: [13, 33]
Generated Node #0,0,1: 22:[13, 33] Operation: 75-42=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[13, 33], Operations: ['86-73=13', '75-42=33']
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No 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: 22:[75, 29], Operations: ['86-73=13', '42-13=29']
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 75+29=104, Resulting Numbers: [104]
104,22 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 |
[
6,
63,
95,
70
] | 94 | [
"6+63=69",
"95-70=25",
"69+25=94"
] | Current State: 94:[6, 63, 95, 70], Operations: []
Exploring Operation: 6+63=69, Resulting Numbers: [95, 70, 69]
Generated Node #2: [95, 70, 69] from Operation: 6+63=69
Current State: 94:[95, 70, 69], Operations: ['6+63=69']
Exploring Operation: 95-70=25, Resulting Numbers: [69, 25]
Generated Node #3: [69, 25] from Operation: 95-70=25
Current State: 94:[69, 25], Operations: ['6+63=69', '95-70=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[6, 63, 95, 70], Operations: []
Exploring Operation: 63-6=57, Resulting Numbers: [95, 70, 57]
Generated Node #0,0: 94:[95, 70, 57] Operation: 63-6=57
Exploring Operation: 95-63=32, Resulting Numbers: [6, 70, 32]
Generated Node #0,1: 94:[6, 70, 32] Operation: 95-63=32
Exploring Operation: 70-63=7, Resulting Numbers: [6, 95, 7]
Generated Node #0,2: 94:[6, 95, 7] Operation: 70-63=7
Exploring Operation: 6+70=76, Resulting Numbers: [63, 95, 76]
Generated Node #0,3: 94:[63, 95, 76] Operation: 6+70=76
Exploring Operation: 70-6=64, Resulting Numbers: [63, 95, 64]
Generated Node #0,4: 94:[63, 95, 64] Operation: 70-6=64
Moving to Node #0,2
Current State: 94:[6, 95, 7], Operations: ['70-63=7']
Exploring Operation: 6+95=101, Resulting Numbers: [7, 101]
Generated Node #0,2,0: 94:[7, 101] Operation: 6+95=101
Exploring Operation: 7-6=1, Resulting Numbers: [95, 1]
Generated Node #0,2,1: 94:[95, 1] Operation: 7-6=1
Exploring Operation: 95-7=88, Resulting Numbers: [6, 88]
Generated Node #0,2,2: 94:[6, 88] Operation: 95-7=88
Exploring Operation: 95-6=89, Resulting Numbers: [7, 89]
Generated Node #0,2,3: 94:[7, 89] Operation: 95-6=89
Exploring Operation: 6*7=42, Resulting Numbers: [95, 42]
Generated Node #0,2,4: 94:[95, 42] Operation: 6*7=42
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[95, 1], Operations: ['70-63=7', '7-6=1']
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[6, 63, 95, 70], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [6, 95, 7]
Generated Node #0,2: 94:[6, 95, 7] Operation: 70-63=7
Moving to Node #0,2
Current State: 94:[6, 95, 7], Operations: ['70-63=7']
Exploring Operation: 7-6=1, Resulting Numbers: [95, 1]
Generated Node #0,2,1: 94:[95, 1] Operation: 7-6=1
Moving to Node #0,2,1
Current State: 94:[95, 1], Operations: ['70-63=7', '7-6=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
76,
84,
34,
65
] | 39 | [
"84-76=8",
"65-34=31",
"8+31=39"
] | Current State: 39:[76, 84, 34, 65], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [34, 65, 8]
Generated Node #2: [34, 65, 8] from Operation: 84-76=8
Current State: 39:[34, 65, 8], Operations: ['84-76=8']
Exploring Operation: 65-34=31, Resulting Numbers: [8, 31]
Generated Node #3: [8, 31] from Operation: 65-34=31
Current State: 39:[8, 31], Operations: ['84-76=8', '65-34=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[76, 84, 34, 65], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [34, 65, 8]
Generated Node #0,0: 39:[34, 65, 8] Operation: 84-76=8
Exploring Operation: 84-65=19, Resulting Numbers: [76, 34, 19]
Generated Node #0,1: 39:[76, 34, 19] Operation: 84-65=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[34, 65, 8], Operations: ['84-76=8']
Exploring Operation: 65-34=31, Resulting Numbers: [8, 31]
Generated Node #0,0,0: 39:[8, 31] Operation: 65-34=31
Exploring Operation: 65-8=57, Resulting Numbers: [34, 57]
Generated Node #0,0,1: 39:[34, 57] Operation: 65-8=57
Moving to Node #0,0,0
Current State: 39:[8, 31], Operations: ['84-76=8', '65-34=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[76, 84, 34, 65], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [34, 65, 8]
Generated Node #0,0: 39:[34, 65, 8] Operation: 84-76=8
Moving to Node #0,0
Current State: 39:[34, 65, 8], Operations: ['84-76=8']
Exploring Operation: 65-34=31, Resulting Numbers: [8, 31]
Generated Node #0,0,0: 39:[8, 31] Operation: 65-34=31
Moving to Node #0,0,0
Current State: 39:[8, 31], Operations: ['84-76=8', '65-34=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
42,
54,
95,
14
] | 15 | [
"42+54=96",
"95-14=81",
"96-81=15"
] | Current State: 15:[42, 54, 95, 14], Operations: []
Exploring Operation: 42+54=96, Resulting Numbers: [95, 14, 96]
Generated Node #2: [95, 14, 96] from Operation: 42+54=96
Current State: 15:[95, 14, 96], Operations: ['42+54=96']
Exploring Operation: 95-14=81, Resulting Numbers: [96, 81]
Generated Node #3: [96, 81] from Operation: 95-14=81
Current State: 15:[96, 81], Operations: ['42+54=96', '95-14=81']
Exploring Operation: 96-81=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[42, 54, 95, 14], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [42, 14, 41]
Generated Node #0,0: 15:[42, 14, 41] Operation: 95-54=41
Exploring Operation: 95-42=53, Resulting Numbers: [54, 14, 53]
Generated Node #0,1: 15:[54, 14, 53] Operation: 95-42=53
Exploring Operation: 54-42=12, Resulting Numbers: [95, 14, 12]
Generated Node #0,2: 15:[95, 14, 12] Operation: 54-42=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[42, 14, 41], Operations: ['95-54=41']
Exploring Operation: 42-14=28, Resulting Numbers: [41, 28]
Generated Node #0,0,0: 15:[41, 28] Operation: 42-14=28
Exploring Operation: 42/14=3, Resulting Numbers: [41, 3]
Generated Node #0,0,1: 15:[41, 3] Operation: 42/14=3
Exploring Operation: 42-41=1, Resulting Numbers: [14, 1]
Generated Node #0,0,2: 15:[14, 1] Operation: 42-41=1
Moving to Node #0,0,2
Current State: 15:[14, 1], Operations: ['95-54=41', '42-41=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[42, 54, 95, 14], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [42, 14, 41]
Generated Node #0,0: 15:[42, 14, 41] Operation: 95-54=41
Moving to Node #0,0
Current State: 15:[42, 14, 41], Operations: ['95-54=41']
Exploring Operation: 42-41=1, Resulting Numbers: [14, 1]
Generated Node #0,0,2: 15:[14, 1] Operation: 42-41=1
Moving to Node #0,0,2
Current State: 15:[14, 1], Operations: ['95-54=41', '42-41=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
2,
88,
62,
89
] | 34 | [
"89-62=27",
"2*27=54",
"88-54=34"
] | Current State: 34:[2, 88, 62, 89], Operations: []
Exploring Operation: 89-62=27, Resulting Numbers: [2, 88, 27]
Generated Node #2: [2, 88, 27] from Operation: 89-62=27
Current State: 34:[2, 88, 27], Operations: ['89-62=27']
Exploring Operation: 2*27=54, Resulting Numbers: [88, 54]
Generated Node #3: [88, 54] from Operation: 2*27=54
Current State: 34:[88, 54], Operations: ['89-62=27', '2*27=54']
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[2, 88, 62, 89], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [2, 62, 1]
Generated Node #0,0: 34:[2, 62, 1] Operation: 89-88=1
Exploring Operation: 89-62=27, Resulting Numbers: [2, 88, 27]
Generated Node #0,1: 34:[2, 88, 27] Operation: 89-62=27
Moving to Node #0,0
Current State: 34:[2, 62, 1], Operations: ['89-88=1']
Exploring Operation: 62-2=60, Resulting Numbers: [1, 60]
Generated Node #0,0,0: 34:[1, 60] Operation: 62-2=60
Exploring Operation: 62/2=31, Resulting Numbers: [1, 31]
Generated Node #0,0,1: 34:[1, 31] Operation: 62/2=31
Moving to Node #0,1
Current State: 34:[2, 88, 27], Operations: ['89-62=27']
Exploring Operation: 88-27=61, Resulting Numbers: [2, 61]
Generated Node #0,1,0: 34:[2, 61] Operation: 88-27=61
Exploring Operation: 88/2=44, Resulting Numbers: [27, 44]
Generated Node #0,1,1: 34:[27, 44] Operation: 88/2=44
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[27, 44], Operations: ['89-62=27', '88/2=44']
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,34 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[2, 61], Operations: ['89-62=27', '88-27=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 34:[1, 31], Operations: ['89-88=1', '62/2=31']
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[1, 60], Operations: ['89-88=1', '62-2=60']
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,34 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
63,
60,
43,
53
] | 30 | [
"63-60=3",
"53-43=10",
"3*10=30"
] | Current State: 30:[63, 60, 43, 53], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [43, 53, 3]
Generated Node #2: [43, 53, 3] from Operation: 63-60=3
Current State: 30:[43, 53, 3], Operations: ['63-60=3']
Exploring Operation: 53-43=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 53-43=10
Current State: 30:[3, 10], Operations: ['63-60=3', '53-43=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[63, 60, 43, 53], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [43, 53, 3]
Generated Node #0,0: 30:[43, 53, 3] Operation: 63-60=3
Exploring Operation: 63-53=10, Resulting Numbers: [60, 43, 10]
Generated Node #0,1: 30:[60, 43, 10] Operation: 63-53=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[43, 53, 3], Operations: ['63-60=3']
Exploring Operation: 43-3=40, Resulting Numbers: [53, 40]
Generated Node #0,0,0: 30:[53, 40] Operation: 43-3=40
Exploring Operation: 53-43=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 30:[3, 10] Operation: 53-43=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[3, 10], Operations: ['63-60=3', '53-43=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[63, 60, 43, 53], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [43, 53, 3]
Generated Node #0,0: 30:[43, 53, 3] Operation: 63-60=3
Moving to Node #0,0
Current State: 30:[43, 53, 3], Operations: ['63-60=3']
Exploring Operation: 53-43=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 30:[3, 10] Operation: 53-43=10
Moving to Node #0,0,1
Current State: 30:[3, 10], Operations: ['63-60=3', '53-43=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
32,
44,
29,
85
] | 20 | [
"32+44=76",
"85-29=56",
"76-56=20"
] | Current State: 20:[32, 44, 29, 85], Operations: []
Exploring Operation: 32+44=76, Resulting Numbers: [29, 85, 76]
Generated Node #2: [29, 85, 76] from Operation: 32+44=76
Current State: 20:[29, 85, 76], Operations: ['32+44=76']
Exploring Operation: 85-29=56, Resulting Numbers: [76, 56]
Generated Node #3: [76, 56] from Operation: 85-29=56
Current State: 20:[76, 56], Operations: ['32+44=76', '85-29=56']
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[32, 44, 29, 85], Operations: []
Exploring Operation: 85-44=41, Resulting Numbers: [32, 29, 41]
Generated Node #0,0: 20:[32, 29, 41] Operation: 85-44=41
Exploring Operation: 85-32=53, Resulting Numbers: [44, 29, 53]
Generated Node #0,1: 20:[44, 29, 53] Operation: 85-32=53
Exploring Operation: 85-29=56, Resulting Numbers: [32, 44, 56]
Generated Node #0,2: 20:[32, 44, 56] Operation: 85-29=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[32, 29, 41], Operations: ['85-44=41']
Exploring Operation: 41-32=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 20:[29, 9] Operation: 41-32=9
Exploring Operation: 32-29=3, Resulting Numbers: [41, 3]
Generated Node #0,0,1: 20:[41, 3] Operation: 32-29=3
Exploring Operation: 41-29=12, Resulting Numbers: [32, 12]
Generated Node #0,0,2: 20:[32, 12] Operation: 41-29=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[29, 9], Operations: ['85-44=41', '41-32=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[32, 44, 29, 85], Operations: []
Exploring Operation: 85-44=41, Resulting Numbers: [32, 29, 41]
Generated Node #0,0: 20:[32, 29, 41] Operation: 85-44=41
Moving to Node #0,0
Current State: 20:[32, 29, 41], Operations: ['85-44=41']
Exploring Operation: 41-32=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 20:[29, 9] Operation: 41-32=9
Moving to Node #0,0,0
Current State: 20:[29, 9], Operations: ['85-44=41', '41-32=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
45,
80,
74,
19
] | 69 | [
"80-74=6",
"19*6=114",
"114-45=69"
] | Current State: 69:[45, 80, 74, 19], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [45, 19, 6]
Generated Node #2: [45, 19, 6] from Operation: 80-74=6
Current State: 69:[45, 19, 6], Operations: ['80-74=6']
Exploring Operation: 19*6=114, Resulting Numbers: [45, 114]
Generated Node #3: [45, 114] from Operation: 19*6=114
Current State: 69:[45, 114], Operations: ['80-74=6', '19*6=114']
Exploring Operation: 114-45=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[45, 80, 74, 19], Operations: []
Exploring Operation: 80-45=35, Resulting Numbers: [74, 19, 35]
Generated Node #0,0: 69:[74, 19, 35] Operation: 80-45=35
Exploring Operation: 45-19=26, Resulting Numbers: [80, 74, 26]
Generated Node #0,1: 69:[80, 74, 26] Operation: 45-19=26
Exploring Operation: 74-45=29, Resulting Numbers: [80, 19, 29]
Generated Node #0,2: 69:[80, 19, 29] Operation: 74-45=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[80, 74, 26], Operations: ['45-19=26']
Exploring Operation: 80-74=6, Resulting Numbers: [26, 6]
Generated Node #0,1,0: 69:[26, 6] Operation: 80-74=6
Exploring Operation: 80-26=54, Resulting Numbers: [74, 54]
Generated Node #0,1,1: 69:[74, 54] Operation: 80-26=54
Exploring Operation: 74-26=48, Resulting Numbers: [80, 48]
Generated Node #0,1,2: 69:[80, 48] Operation: 74-26=48
Moving to Node #0,1,0
Current State: 69:[26, 6], Operations: ['45-19=26', '80-74=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,69 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[74, 54], Operations: ['45-19=26', '80-26=54']
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,69 unequal: No Solution
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[80, 48], Operations: ['45-19=26', '74-26=48']
Exploring Operation: 80+48=128, Resulting Numbers: [128]
128,69 unequal: No Solution
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 80*48=3840, Resulting Numbers: [3840]
3840,69 unequal: No Solution
No 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: 69:[74, 19, 35], Operations: ['80-45=35']
Exploring Operation: 19+35=54, Resulting Numbers: [74, 54]
Generated Node #0,0,0: 69:[74, 54] Operation: 19+35=54
Exploring Operation: 35-19=16, Resulting Numbers: [74, 16]
Generated Node #0,0,1: 69:[74, 16] Operation: 35-19=16
Exploring Operation: 74-35=39, Resulting Numbers: [19, 39]
Generated Node #0,0,2: 69:[19, 39] Operation: 74-35=39
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[74, 16], Operations: ['80-45=35', '35-19=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 74*16=1184, Resulting Numbers: [1184]
1184,69 unequal: No Solution
Exploring Operation: 74+16=90, Resulting Numbers: [90]
90,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[74, 54], Operations: ['80-45=35', '19+35=54']
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,69 unequal: No Solution
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,69 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[19, 39], Operations: ['80-45=35', '74-35=39']
Exploring Operation: 19*39=741, Resulting Numbers: [741]
741,69 unequal: No Solution
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[80, 19, 29], Operations: ['74-45=29']
Exploring Operation: 29-19=10, Resulting Numbers: [80, 10]
Generated Node #0,2,0: 69:[80, 10] Operation: 29-19=10
Exploring Operation: 80-19=61, Resulting Numbers: [29, 61]
Generated Node #0,2,1: 69:[29, 61] Operation: 80-19=61
Exploring Operation: 80-29=51, Resulting Numbers: [19, 51]
Generated Node #0,2,2: 69:[19, 51] Operation: 80-29=51
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[29, 61], Operations: ['74-45=29', '80-19=61']
Exploring Operation: 29*61=1769, Resulting Numbers: [1769]
1769,69 unequal: No Solution
Exploring Operation: 29+61=90, Resulting Numbers: [90]
90,69 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[80, 10], Operations: ['74-45=29', '29-19=10']
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,69 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[19, 51], Operations: ['74-45=29', '80-29=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,69 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,69 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
35,
11,
27,
18
] | 41 | [
"27*18=486",
"486-35=451",
"451/11=41"
] | Current State: 41:[35, 11, 27, 18], Operations: []
Exploring Operation: 27*18=486, Resulting Numbers: [35, 11, 486]
Generated Node #2: [35, 11, 486] from Operation: 27*18=486
Current State: 41:[35, 11, 486], Operations: ['27*18=486']
Exploring Operation: 486-35=451, Resulting Numbers: [11, 451]
Generated Node #3: [11, 451] from Operation: 486-35=451
Current State: 41:[11, 451], Operations: ['27*18=486', '486-35=451']
Exploring Operation: 451/11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[35, 11, 27, 18], Operations: []
Exploring Operation: 11+27=38, Resulting Numbers: [35, 18, 38]
Generated Node #0,0: 41:[35, 18, 38] Operation: 11+27=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[35, 18, 38], Operations: ['11+27=38']
Exploring Operation: 35+18=53, Resulting Numbers: [38, 53]
Generated Node #0,0,0: 41:[38, 53] Operation: 35+18=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[38, 53], Operations: ['11+27=38', '35+18=53']
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
96,
67,
54
] | 67 | [
"96-42=54",
"67+54=121",
"121-54=67"
] | Current State: 67:[42, 96, 67, 54], Operations: []
Exploring Operation: 96-42=54, Resulting Numbers: [67, 54, 54]
Generated Node #2: [67, 54, 54] from Operation: 96-42=54
Current State: 67:[67, 54, 54], Operations: ['96-42=54']
Exploring Operation: 67+54=121, Resulting Numbers: [121]
121,67 equal: Goal Reached
Exploring Operation: 121-54=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[42, 96, 67, 54], Operations: []
Exploring Operation: 42+54=96, Resulting Numbers: [96, 67, 96]
Generated Node #0,0: 67:[96, 67, 96] Operation: 42+54=96
Exploring Operation: 96-67=29, Resulting Numbers: [42, 54, 29]
Generated Node #0,1: 67:[42, 54, 29] Operation: 96-67=29
Exploring Operation: 96-54=42, Resulting Numbers: [42, 67, 42]
Generated Node #0,2: 67:[42, 67, 42] Operation: 96-54=42
Exploring Operation: 96-42=54, Resulting Numbers: [67, 54, 54]
Generated Node #0,3: 67:[67, 54, 54] Operation: 96-42=54
Moving to Node #0,3
Current State: 67:[67, 54, 54], Operations: ['96-42=54']
Exploring Operation: 67-54=13, Resulting Numbers: [54, 13]
Generated Node #0,3,0: 67:[54, 13] Operation: 67-54=13
Exploring Operation: 67+54=121, Resulting Numbers: [54, 121]
Generated Node #0,3,1: 67:[54, 121] Operation: 67+54=121
Exploring Operation: 54+54=108, Resulting Numbers: [67, 108]
Generated Node #0,3,2: 67:[67, 108] Operation: 54+54=108
Exploring Operation: 54/54=1, Resulting Numbers: [67, 1]
Generated Node #0,3,3: 67:[67, 1] Operation: 54/54=1
Moving to Node #0,2
Current State: 67:[42, 67, 42], Operations: ['96-54=42']
Exploring Operation: 42/42=1, Resulting Numbers: [67, 1]
Generated Node #0,2,0: 67:[67, 1] Operation: 42/42=1
Exploring Operation: 42+42=84, Resulting Numbers: [67, 84]
Generated Node #0,2,1: 67:[67, 84] Operation: 42+42=84
Exploring Operation: 42+67=109, Resulting Numbers: [42, 109]
Generated Node #0,2,2: 67:[42, 109] Operation: 42+67=109
Exploring Operation: 67-42=25, Resulting Numbers: [42, 25]
Generated Node #0,2,3: 67:[42, 25] Operation: 67-42=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[67, 84], Operations: ['96-54=42', '42+42=84']
Exploring Operation: 67*84=5628, Resulting Numbers: [5628]
5628,67 unequal: No Solution
Exploring Operation: 67+84=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,67 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 #0,2,0
Current State: 67:[67, 1], Operations: ['96-54=42', '42/42=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[42, 96, 67, 54], Operations: []
Exploring Operation: 96-54=42, Resulting Numbers: [42, 67, 42]
Generated Node #0,2: 67:[42, 67, 42] Operation: 96-54=42
Moving to Node #0,2
Current State: 67:[42, 67, 42], Operations: ['96-54=42']
Exploring Operation: 42/42=1, Resulting Numbers: [67, 1]
Generated Node #0,2,0: 67:[67, 1] Operation: 42/42=1
Moving to Node #0,2,0
Current State: 67:[67, 1], Operations: ['96-54=42', '42/42=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
66,
10,
54,
80
] | 15 | [
"66+54=120",
"80/10=8",
"120/8=15"
] | Current State: 15:[66, 10, 54, 80], Operations: []
Exploring Operation: 66+54=120, Resulting Numbers: [10, 80, 120]
Generated Node #2: [10, 80, 120] from Operation: 66+54=120
Current State: 15:[10, 80, 120], Operations: ['66+54=120']
Exploring Operation: 80/10=8, Resulting Numbers: [120, 8]
Generated Node #3: [120, 8] from Operation: 80/10=8
Current State: 15:[120, 8], Operations: ['66+54=120', '80/10=8']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[66, 10, 54, 80], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [10, 54, 14]
Generated Node #0,0: 15:[10, 54, 14] Operation: 80-66=14
Exploring Operation: 80-54=26, Resulting Numbers: [66, 10, 26]
Generated Node #0,1: 15:[66, 10, 26] Operation: 80-54=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[10, 54, 14], Operations: ['80-66=14']
Exploring Operation: 54-10=44, Resulting Numbers: [14, 44]
Generated Node #0,0,0: 15:[14, 44] Operation: 54-10=44
Exploring Operation: 54-14=40, Resulting Numbers: [10, 40]
Generated Node #0,0,1: 15:[10, 40] Operation: 54-14=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[14, 44], Operations: ['80-66=14', '54-10=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No 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: 15:[10, 40], Operations: ['80-66=14', '54-14=40']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[66, 10, 26], Operations: ['80-54=26']
Exploring Operation: 66-10=56, Resulting Numbers: [26, 56]
Generated Node #0,1,0: 15:[26, 56] Operation: 66-10=56
Exploring Operation: 66-26=40, Resulting Numbers: [10, 40]
Generated Node #0,1,1: 15:[10, 40] Operation: 66-26=40
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[10, 40], Operations: ['80-54=26', '66-26=40']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No 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: 15:[26, 56], Operations: ['80-54=26', '66-10=56']
Exploring Operation: 26+56=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
86,
42,
11,
75
] | 43 | [
"86-11=75",
"75/75=1",
"42+1=43"
] | Current State: 43:[86, 42, 11, 75], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [42, 75, 75]
Generated Node #2: [42, 75, 75] from Operation: 86-11=75
Current State: 43:[42, 75, 75], Operations: ['86-11=75']
Exploring Operation: 75/75=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 75/75=1
Current State: 43:[42, 1], Operations: ['86-11=75', '75/75=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[86, 42, 11, 75], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [11, 75, 44]
Generated Node #0,0: 43:[11, 75, 44] Operation: 86-42=44
Exploring Operation: 86-75=11, Resulting Numbers: [42, 11, 11]
Generated Node #0,1: 43:[42, 11, 11] Operation: 86-75=11
Exploring Operation: 86-11=75, Resulting Numbers: [42, 75, 75]
Generated Node #0,2: 43:[42, 75, 75] Operation: 86-11=75
Moving to Node #0,0
Current State: 43:[11, 75, 44], Operations: ['86-42=44']
Exploring Operation: 11+75=86, Resulting Numbers: [44, 86]
Generated Node #0,0,0: 43:[44, 86] Operation: 11+75=86
Exploring Operation: 44-11=33, Resulting Numbers: [75, 33]
Generated Node #0,0,1: 43:[75, 33] Operation: 44-11=33
Exploring Operation: 75-11=64, Resulting Numbers: [44, 64]
Generated Node #0,0,2: 43:[44, 64] Operation: 75-11=64
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[44, 64], Operations: ['86-42=44', '75-11=64']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 44+64=108, Resulting Numbers: [108]
108,43 unequal: No Solution
Exploring Operation: 44*64=2816, Resulting Numbers: [2816]
2816,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[75, 33], Operations: ['86-42=44', '44-11=33']
Exploring Operation: 75+33=108, Resulting Numbers: [108]
108,43 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 75*33=2475, Resulting Numbers: [2475]
2475,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[44, 86], Operations: ['86-42=44', '11+75=86']
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 44+86=130, Resulting Numbers: [130]
130,43 unequal: No Solution
Exploring Operation: 44*86=3784, Resulting Numbers: [3784]
3784,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 43:[42, 11, 11], Operations: ['86-75=11']
Exploring Operation: 11+11=22, Resulting Numbers: [42, 22]
Generated Node #0,1,0: 43:[42, 22] Operation: 11+11=22
Exploring Operation: 42+11=53, Resulting Numbers: [11, 53]
Generated Node #0,1,1: 43:[11, 53] Operation: 42+11=53
Exploring Operation: 42+11=53, Resulting Numbers: [11, 53]
Generated Node #0,1,2: 43:[11, 53] Operation: 42+11=53
Moving to Node #0,2
Current State: 43:[42, 75, 75], Operations: ['86-11=75']
Exploring Operation: 75-42=33, Resulting Numbers: [75, 33]
Generated Node #0,2,0: 43:[75, 33] Operation: 75-42=33
Exploring Operation: 75/75=1, Resulting Numbers: [42, 1]
Generated Node #0,2,1: 43:[42, 1] Operation: 75/75=1
Exploring Operation: 75-42=33, Resulting Numbers: [75, 33]
Generated Node #0,2,2: 43:[75, 33] Operation: 75-42=33
Moving to Node #0,1,0
Current State: 43:[42, 22], Operations: ['86-75=11', '11+11=22']
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,43 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[11, 53], Operations: ['86-75=11', '42+11=53']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[11, 53], Operations: ['86-75=11', '42+11=53']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,43 unequal: No Solution
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[75, 33], Operations: ['86-11=75', '75-42=33']
Exploring Operation: 75+33=108, Resulting Numbers: [108]
108,43 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 75*33=2475, Resulting Numbers: [2475]
2475,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[75, 33], Operations: ['86-11=75', '75-42=33']
Exploring Operation: 75*33=2475, Resulting Numbers: [2475]
2475,43 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,43 unequal: No Solution
Exploring Operation: 75+33=108, Resulting Numbers: [108]
108,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[42, 1], Operations: ['86-11=75', '75/75=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[86, 42, 11, 75], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [42, 75, 75]
Generated Node #0,2: 43:[42, 75, 75] Operation: 86-11=75
Moving to Node #0,2
Current State: 43:[42, 75, 75], Operations: ['86-11=75']
Exploring Operation: 75/75=1, Resulting Numbers: [42, 1]
Generated Node #0,2,1: 43:[42, 1] Operation: 75/75=1
Moving to Node #0,2,1
Current State: 43:[42, 1], Operations: ['86-11=75', '75/75=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 0.96441 | hs_3 | sum_heuristic |
[
29,
87,
8,
92
] | 16 | [
"29+87=116",
"8+92=100",
"116-100=16"
] | Current State: 16:[29, 87, 8, 92], Operations: []
Exploring Operation: 29+87=116, Resulting Numbers: [8, 92, 116]
Generated Node #2: [8, 92, 116] from Operation: 29+87=116
Current State: 16:[8, 92, 116], Operations: ['29+87=116']
Exploring Operation: 8+92=100, Resulting Numbers: [116, 100]
Generated Node #3: [116, 100] from Operation: 8+92=100
Current State: 16:[116, 100], Operations: ['29+87=116', '8+92=100']
Exploring Operation: 116-100=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[29, 87, 8, 92], Operations: []
Exploring Operation: 29-8=21, Resulting Numbers: [87, 92, 21]
Generated Node #0,0: 16:[87, 92, 21] Operation: 29-8=21
Exploring Operation: 87/29=3, Resulting Numbers: [8, 92, 3]
Generated Node #0,1: 16:[8, 92, 3] Operation: 87/29=3
Exploring Operation: 92-87=5, Resulting Numbers: [29, 8, 5]
Generated Node #0,2: 16:[29, 8, 5] Operation: 92-87=5
Exploring Operation: 87-29=58, Resulting Numbers: [8, 92, 58]
Generated Node #0,3: 16:[8, 92, 58] Operation: 87-29=58
Exploring Operation: 92-29=63, Resulting Numbers: [87, 8, 63]
Generated Node #0,4: 16:[87, 8, 63] Operation: 92-29=63
Moving to Node #0,2
Current State: 16:[29, 8, 5], Operations: ['92-87=5']
Exploring Operation: 8-5=3, Resulting Numbers: [29, 3]
Generated Node #0,2,0: 16:[29, 3] Operation: 8-5=3
Exploring Operation: 29+5=34, Resulting Numbers: [8, 34]
Generated Node #0,2,1: 16:[8, 34] Operation: 29+5=34
Exploring Operation: 29-5=24, Resulting Numbers: [8, 24]
Generated Node #0,2,2: 16:[8, 24] Operation: 29-5=24
Exploring Operation: 8+5=13, Resulting Numbers: [29, 13]
Generated Node #0,2,3: 16:[29, 13] Operation: 8+5=13
Exploring Operation: 29-8=21, Resulting Numbers: [5, 21]
Generated Node #0,2,4: 16:[5, 21] Operation: 29-8=21
Moving to Node #0,1
Current State: 16:[8, 92, 3], Operations: ['87/29=3']
Exploring Operation: 92+3=95, Resulting Numbers: [8, 95]
Generated Node #0,1,0: 16:[8, 95] Operation: 92+3=95
Exploring Operation: 92-8=84, Resulting Numbers: [3, 84]
Generated Node #0,1,1: 16:[3, 84] Operation: 92-8=84
Exploring Operation: 8-3=5, Resulting Numbers: [92, 5]
Generated Node #0,1,2: 16:[92, 5] Operation: 8-3=5
Exploring Operation: 92-3=89, Resulting Numbers: [8, 89]
Generated Node #0,1,3: 16:[8, 89] Operation: 92-3=89
Exploring Operation: 8+3=11, Resulting Numbers: [92, 11]
Generated Node #0,1,4: 16:[92, 11] Operation: 8+3=11
Moving to Node #0,3
Current State: 16:[8, 92, 58], Operations: ['87-29=58']
Exploring Operation: 92-58=34, Resulting Numbers: [8, 34]
Generated Node #0,3,0: 16:[8, 34] Operation: 92-58=34
Exploring Operation: 92-8=84, Resulting Numbers: [58, 84]
Generated Node #0,3,1: 16:[58, 84] Operation: 92-8=84
Exploring Operation: 8+58=66, Resulting Numbers: [92, 66]
Generated Node #0,3,2: 16:[92, 66] Operation: 8+58=66
Exploring Operation: 58-8=50, Resulting Numbers: [92, 50]
Generated Node #0,3,3: 16:[92, 50] Operation: 58-8=50
Exploring Operation: 8+92=100, Resulting Numbers: [58, 100]
Generated Node #0,3,4: 16:[58, 100] Operation: 8+92=100
Moving to Node #0,4
Current State: 16:[87, 8, 63], Operations: ['92-29=63']
Exploring Operation: 87-8=79, Resulting Numbers: [63, 79]
Generated Node #0,4,0: 16:[63, 79] Operation: 87-8=79
Exploring Operation: 63-8=55, Resulting Numbers: [87, 55]
Generated Node #0,4,1: 16:[87, 55] Operation: 63-8=55
Exploring Operation: 8+63=71, Resulting Numbers: [87, 71]
Generated Node #0,4,2: 16:[87, 71] Operation: 8+63=71
Exploring Operation: 87-63=24, Resulting Numbers: [8, 24]
Generated Node #0,4,3: 16:[8, 24] Operation: 87-63=24
Exploring Operation: 87+8=95, Resulting Numbers: [63, 95]
Generated Node #0,4,4: 16:[63, 95] Operation: 87+8=95
Moving to Node #0,0
Current State: 16:[87, 92, 21], Operations: ['29-8=21']
Exploring Operation: 92-21=71, Resulting Numbers: [87, 71]
Generated Node #0,0,0: 16:[87, 71] Operation: 92-21=71
Exploring Operation: 87-21=66, Resulting Numbers: [92, 66]
Generated Node #0,0,1: 16:[92, 66] Operation: 87-21=66
Exploring Operation: 87+21=108, Resulting Numbers: [92, 108]
Generated Node #0,0,2: 16:[92, 108] Operation: 87+21=108
Exploring Operation: 92-87=5, Resulting Numbers: [21, 5]
Generated Node #0,0,3: 16:[21, 5] Operation: 92-87=5
Exploring Operation: 87+92=179, Resulting Numbers: [21, 179]
Generated Node #0,0,4: 16:[21, 179] Operation: 87+92=179
Moving to Node #0,2,4
Current State: 16:[5, 21], Operations: ['92-87=5', '29-8=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[29, 87, 8, 92], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [29, 8, 5]
Generated Node #0,2: 16:[29, 8, 5] Operation: 92-87=5
Moving to Node #0,2
Current State: 16:[29, 8, 5], Operations: ['92-87=5']
Exploring Operation: 29-8=21, Resulting Numbers: [5, 21]
Generated Node #0,2,4: 16:[5, 21] Operation: 29-8=21
Moving to Node #0,2,4
Current State: 16:[5, 21], Operations: ['92-87=5', '29-8=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.969618 | hs_5 | sum_heuristic |
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