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 |
|---|---|---|---|---|---|---|---|---|
[
5,
44,
54,
73
] | 68 | [
"5+44=49",
"73-54=19",
"49+19=68"
] | Current State: 68:[5, 44, 54, 73], Operations: []
Exploring Operation: 5+44=49, Resulting Numbers: [54, 73, 49]
Generated Node #2: [54, 73, 49] from Operation: 5+44=49
Current State: 68:[54, 73, 49], Operations: ['5+44=49']
Exploring Operation: 73-54=19, Resulting Numbers: [49, 19]
Generated Node #3: [49, 19] from Operation: 73-54=19
Current State: 68:[49, 19], Operations: ['5+44=49', '73-54=19']
Exploring Operation: 49+19=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[5, 44, 54, 73], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [5, 73, 10]
Generated Node #0,0: 68:[5, 73, 10] Operation: 54-44=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[5, 73, 10], Operations: ['54-44=10']
Exploring Operation: 10/5=2, Resulting Numbers: [73, 2]
Generated Node #0,0,0: 68:[73, 2] Operation: 10/5=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[73, 2], Operations: ['54-44=10', '10/5=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,68 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 |
[
70,
6,
63,
65
] | 52 | [
"70+6=76",
"63+65=128",
"128-76=52"
] | Current State: 52:[70, 6, 63, 65], Operations: []
Exploring Operation: 70+6=76, Resulting Numbers: [63, 65, 76]
Generated Node #2: [63, 65, 76] from Operation: 70+6=76
Current State: 52:[63, 65, 76], Operations: ['70+6=76']
Exploring Operation: 63+65=128, Resulting Numbers: [76, 128]
Generated Node #3: [76, 128] from Operation: 63+65=128
Current State: 52:[76, 128], Operations: ['70+6=76', '63+65=128']
Exploring Operation: 128-76=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[70, 6, 63, 65], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [6, 63, 5]
Generated Node #0,0: 52:[6, 63, 5] Operation: 70-65=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[6, 63, 5], Operations: ['70-65=5']
Exploring Operation: 63-6=57, Resulting Numbers: [5, 57]
Generated Node #0,0,0: 52:[5, 57] Operation: 63-6=57
Moving to Node #0,0,0
Current State: 52:[5, 57], Operations: ['70-65=5', '63-6=57']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[70, 6, 63, 65], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [6, 63, 5]
Generated Node #0,0: 52:[6, 63, 5] Operation: 70-65=5
Moving to Node #0,0
Current State: 52:[6, 63, 5], Operations: ['70-65=5']
Exploring Operation: 63-6=57, Resulting Numbers: [5, 57]
Generated Node #0,0,0: 52:[5, 57] Operation: 63-6=57
Moving to Node #0,0,0
Current State: 52:[5, 57], Operations: ['70-65=5', '63-6=57']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
47,
27,
73,
77
] | 24 | [
"47-27=20",
"77-73=4",
"20+4=24"
] | Current State: 24:[47, 27, 73, 77], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [73, 77, 20]
Generated Node #2: [73, 77, 20] from Operation: 47-27=20
Current State: 24:[73, 77, 20], Operations: ['47-27=20']
Exploring Operation: 77-73=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 77-73=4
Current State: 24:[20, 4], Operations: ['47-27=20', '77-73=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[47, 27, 73, 77], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [47, 27, 4]
Generated Node #0,0: 24:[47, 27, 4] Operation: 77-73=4
Exploring Operation: 77-47=30, Resulting Numbers: [27, 73, 30]
Generated Node #0,1: 24:[27, 73, 30] Operation: 77-47=30
Exploring Operation: 73-47=26, Resulting Numbers: [27, 77, 26]
Generated Node #0,2: 24:[27, 77, 26] Operation: 73-47=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[47, 27, 4], Operations: ['77-73=4']
Exploring Operation: 47-4=43, Resulting Numbers: [27, 43]
Generated Node #0,0,0: 24:[27, 43] Operation: 47-4=43
Exploring Operation: 47-27=20, Resulting Numbers: [4, 20]
Generated Node #0,0,1: 24:[4, 20] Operation: 47-27=20
Exploring Operation: 27-4=23, Resulting Numbers: [47, 23]
Generated Node #0,0,2: 24:[47, 23] Operation: 27-4=23
Moving to Node #0,0,1
Current State: 24:[4, 20], Operations: ['77-73=4', '47-27=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[47, 27, 73, 77], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [47, 27, 4]
Generated Node #0,0: 24:[47, 27, 4] Operation: 77-73=4
Moving to Node #0,0
Current State: 24:[47, 27, 4], Operations: ['77-73=4']
Exploring Operation: 47-27=20, Resulting Numbers: [4, 20]
Generated Node #0,0,1: 24:[4, 20] Operation: 47-27=20
Moving to Node #0,0,1
Current State: 24:[4, 20], Operations: ['77-73=4', '47-27=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
79,
95,
85,
60
] | 89 | [
"79*95=7505",
"60+7505=7565",
"7565/85=89"
] | Current State: 89:[79, 95, 85, 60], Operations: []
Exploring Operation: 79*95=7505, Resulting Numbers: [85, 60, 7505]
Generated Node #2: [85, 60, 7505] from Operation: 79*95=7505
Current State: 89:[85, 60, 7505], Operations: ['79*95=7505']
Exploring Operation: 60+7505=7565, Resulting Numbers: [85, 7565]
Generated Node #3: [85, 7565] from Operation: 60+7505=7565
Current State: 89:[85, 7565], Operations: ['79*95=7505', '60+7505=7565']
Exploring Operation: 7565/85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[79, 95, 85, 60], Operations: []
Exploring Operation: 79+60=139, Resulting Numbers: [95, 85, 139]
Generated Node #0,0: 89:[95, 85, 139] Operation: 79+60=139
Moving to Node #0,0
Current State: 89:[95, 85, 139], Operations: ['79+60=139']
Exploring Operation: 139-85=54, Resulting Numbers: [95, 54]
Generated Node #0,0,0: 89:[95, 54] Operation: 139-85=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[95, 54], Operations: ['79+60=139', '139-85=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,89 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 |
[
50,
55,
25,
8
] | 65 | [
"55-50=5",
"8*5=40",
"25+40=65"
] | Current State: 65:[50, 55, 25, 8], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [25, 8, 5]
Generated Node #2: [25, 8, 5] from Operation: 55-50=5
Current State: 65:[25, 8, 5], Operations: ['55-50=5']
Exploring Operation: 8*5=40, Resulting Numbers: [25, 40]
Generated Node #3: [25, 40] from Operation: 8*5=40
Current State: 65:[25, 40], Operations: ['55-50=5', '8*5=40']
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[50, 55, 25, 8], Operations: []
Exploring Operation: 50-25=25, Resulting Numbers: [55, 8, 25]
Generated Node #0,0: 65:[55, 8, 25] Operation: 50-25=25
Exploring Operation: 50/25=2, Resulting Numbers: [55, 8, 2]
Generated Node #0,1: 65:[55, 8, 2] Operation: 50/25=2
Exploring Operation: 50+25=75, Resulting Numbers: [55, 8, 75]
Generated Node #0,2: 65:[55, 8, 75] Operation: 50+25=75
Exploring Operation: 55-50=5, Resulting Numbers: [25, 8, 5]
Generated Node #0,3: 65:[25, 8, 5] Operation: 55-50=5
Exploring Operation: 50+8=58, Resulting Numbers: [55, 25, 58]
Generated Node #0,4: 65:[55, 25, 58] Operation: 50+8=58
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[25, 8, 5], Operations: ['55-50=5']
Exploring Operation: 8-5=3, Resulting Numbers: [25, 3]
Generated Node #0,3,0: 65:[25, 3] Operation: 8-5=3
Exploring Operation: 25-8=17, Resulting Numbers: [5, 17]
Generated Node #0,3,1: 65:[5, 17] Operation: 25-8=17
Exploring Operation: 25/5=5, Resulting Numbers: [8, 5]
Generated Node #0,3,2: 65:[8, 5] Operation: 25/5=5
Exploring Operation: 25-5=20, Resulting Numbers: [8, 20]
Generated Node #0,3,3: 65:[8, 20] Operation: 25-5=20
Exploring Operation: 8+5=13, Resulting Numbers: [25, 13]
Generated Node #0,3,4: 65:[25, 13] Operation: 8+5=13
Moving to Node #0,3,2
Current State: 65:[8, 5], Operations: ['55-50=5', '25/5=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[5, 17], Operations: ['55-50=5', '25-8=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[8, 20], Operations: ['55-50=5', '25-5=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,65 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,65 unequal: No Solution
Moving to Node #0,3,4
Current State: 65:[25, 13], Operations: ['55-50=5', '8+5=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,65 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[25, 3], Operations: ['55-50=5', '8-5=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,65 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,65 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 #0,1
Current State: 65:[55, 8, 2], Operations: ['50/25=2']
Exploring Operation: 55+8=63, Resulting Numbers: [2, 63]
Generated Node #0,1,0: 65:[2, 63] Operation: 55+8=63
Exploring Operation: 8/2=4, Resulting Numbers: [55, 4]
Generated Node #0,1,1: 65:[55, 4] Operation: 8/2=4
Exploring Operation: 55+2=57, Resulting Numbers: [8, 57]
Generated Node #0,1,2: 65:[8, 57] Operation: 55+2=57
Exploring Operation: 8-2=6, Resulting Numbers: [55, 6]
Generated Node #0,1,3: 65:[55, 6] Operation: 8-2=6
Exploring Operation: 8+2=10, Resulting Numbers: [55, 10]
Generated Node #0,1,4: 65:[55, 10] Operation: 8+2=10
Moving to Node #0,1,0
Current State: 65:[2, 63], Operations: ['50/25=2', '55+8=63']
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[50, 55, 25, 8], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [55, 8, 2]
Generated Node #0,1: 65:[55, 8, 2] Operation: 50/25=2
Moving to Node #0,1
Current State: 65:[55, 8, 2], Operations: ['50/25=2']
Exploring Operation: 55+8=63, Resulting Numbers: [2, 63]
Generated Node #0,1,0: 65:[2, 63] Operation: 55+8=63
Moving to Node #0,1,0
Current State: 65:[2, 63], Operations: ['50/25=2', '55+8=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
39,
22,
68,
28
] | 34 | [
"39-28=11",
"22/11=2",
"68/2=34"
] | Current State: 34:[39, 22, 68, 28], Operations: []
Exploring Operation: 39-28=11, Resulting Numbers: [22, 68, 11]
Generated Node #2: [22, 68, 11] from Operation: 39-28=11
Current State: 34:[22, 68, 11], Operations: ['39-28=11']
Exploring Operation: 22/11=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 22/11=2
Current State: 34:[68, 2], Operations: ['39-28=11', '22/11=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[39, 22, 68, 28], Operations: []
Exploring Operation: 68-28=40, Resulting Numbers: [39, 22, 40]
Generated Node #0,0: 34:[39, 22, 40] Operation: 68-28=40
Exploring Operation: 68-22=46, Resulting Numbers: [39, 28, 46]
Generated Node #0,1: 34:[39, 28, 46] Operation: 68-22=46
Exploring Operation: 68-39=29, Resulting Numbers: [22, 28, 29]
Generated Node #0,2: 34:[22, 28, 29] Operation: 68-39=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[39, 22, 40], Operations: ['68-28=40']
Exploring Operation: 39-22=17, Resulting Numbers: [40, 17]
Generated Node #0,0,0: 34:[40, 17] Operation: 39-22=17
Exploring Operation: 40-39=1, Resulting Numbers: [22, 1]
Generated Node #0,0,1: 34:[22, 1] Operation: 40-39=1
Exploring Operation: 40-22=18, Resulting Numbers: [39, 18]
Generated Node #0,0,2: 34:[39, 18] Operation: 40-22=18
Moving to Node #0,0,0
Current State: 34:[40, 17], Operations: ['68-28=40', '39-22=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,34 unequal: No Solution
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[22, 1], Operations: ['68-28=40', '40-39=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[39, 18], Operations: ['68-28=40', '40-22=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,34 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,34 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,34 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 #0,2
Current State: 34:[22, 28, 29], Operations: ['68-39=29']
Exploring Operation: 29-22=7, Resulting Numbers: [28, 7]
Generated Node #0,2,0: 34:[28, 7] Operation: 29-22=7
Exploring Operation: 29-28=1, Resulting Numbers: [22, 1]
Generated Node #0,2,1: 34:[22, 1] Operation: 29-28=1
Exploring Operation: 28-22=6, Resulting Numbers: [29, 6]
Generated Node #0,2,2: 34:[29, 6] Operation: 28-22=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 34:[22, 1], Operations: ['68-39=29', '29-28=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,34 unequal: No Solution
No 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: 34:[29, 6], Operations: ['68-39=29', '28-22=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,34 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,34 unequal: No Solution
No 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: 34:[28, 7], Operations: ['68-39=29', '29-22=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[39, 28, 46], Operations: ['68-22=46']
Exploring Operation: 39-28=11, Resulting Numbers: [46, 11]
Generated Node #0,1,0: 34:[46, 11] Operation: 39-28=11
Exploring Operation: 46-28=18, Resulting Numbers: [39, 18]
Generated Node #0,1,1: 34:[39, 18] Operation: 46-28=18
Exploring Operation: 46-39=7, Resulting Numbers: [28, 7]
Generated Node #0,1,2: 34:[28, 7] Operation: 46-39=7
Moving to Node #0,1,1
Current State: 34:[39, 18], Operations: ['68-22=46', '46-28=18']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,34 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[28, 7], Operations: ['68-22=46', '46-39=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[46, 11], Operations: ['68-22=46', '39-28=11']
Exploring Operation: 46*11=506, Resulting Numbers: [506]
506,34 unequal: No Solution
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
48,
2,
68,
38
] | 48 | [
"68-48=20",
"20/2=10",
"38+10=48"
] | Current State: 48:[48, 2, 68, 38], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [2, 38, 20]
Generated Node #2: [2, 38, 20] from Operation: 68-48=20
Current State: 48:[2, 38, 20], Operations: ['68-48=20']
Exploring Operation: 20/2=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 20/2=10
Current State: 48:[38, 10], Operations: ['68-48=20', '20/2=10']
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[48, 2, 68, 38], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [48, 2, 30]
Generated Node #0,0: 48:[48, 2, 30] Operation: 68-38=30
Moving to Node #0,0
Current State: 48:[48, 2, 30], Operations: ['68-38=30']
Exploring Operation: 30/2=15, Resulting Numbers: [48, 15]
Generated Node #0,0,0: 48:[48, 15] Operation: 30/2=15
Moving to Node #0,0,0
Current State: 48:[48, 15], Operations: ['68-38=30', '30/2=15']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,48 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
37,
36,
72
] | 50 | [
"11+37=48",
"72/36=2",
"48+2=50"
] | Current State: 50:[11, 37, 36, 72], Operations: []
Exploring Operation: 11+37=48, Resulting Numbers: [36, 72, 48]
Generated Node #2: [36, 72, 48] from Operation: 11+37=48
Current State: 50:[36, 72, 48], Operations: ['11+37=48']
Exploring Operation: 72/36=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 72/36=2
Current State: 50:[48, 2], Operations: ['11+37=48', '72/36=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[11, 37, 36, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [11, 37, 2]
Generated Node #0,0: 50:[11, 37, 2] Operation: 72/36=2
Moving to Node #0,0
Current State: 50:[11, 37, 2], Operations: ['72/36=2']
Exploring Operation: 37-11=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 50:[2, 26] Operation: 37-11=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[2, 26], Operations: ['72/36=2', '37-11=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
57,
95,
95
] | 57 | [
"95-95=0",
"66*0=0",
"57+0=57"
] | Current State: 57:[66, 57, 95, 95], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [66, 57, 0]
Generated Node #2: [66, 57, 0] from Operation: 95-95=0
Current State: 57:[66, 57, 0], Operations: ['95-95=0']
Exploring Operation: 66*0=0, Resulting Numbers: [57, 0]
Generated Node #3: [57, 0] from Operation: 66*0=0
Current State: 57:[57, 0], Operations: ['95-95=0', '66*0=0']
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[66, 57, 95, 95], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [66, 57, 0]
Generated Node #0,0: 57:[66, 57, 0] Operation: 95-95=0
Exploring Operation: 95/95=1, Resulting Numbers: [66, 57, 1]
Generated Node #0,1: 57:[66, 57, 1] Operation: 95/95=1
Moving to Node #0,1
Current State: 57:[66, 57, 1], Operations: ['95/95=1']
Exploring Operation: 66-1=65, Resulting Numbers: [57, 65]
Generated Node #0,1,0: 57:[57, 65] Operation: 66-1=65
Exploring Operation: 66-57=9, Resulting Numbers: [1, 9]
Generated Node #0,1,1: 57:[1, 9] Operation: 66-57=9
Moving to Node #0,0
Current State: 57:[66, 57, 0], Operations: ['95-95=0']
Exploring Operation: 66*0=0, Resulting Numbers: [57, 0]
Generated Node #0,0,0: 57:[57, 0] Operation: 66*0=0
Exploring Operation: 66-57=9, Resulting Numbers: [0, 9]
Generated Node #0,0,1: 57:[0, 9] Operation: 66-57=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[57, 0], Operations: ['95-95=0', '66*0=0']
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[66, 57, 95, 95], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [66, 57, 0]
Generated Node #0,0: 57:[66, 57, 0] Operation: 95-95=0
Moving to Node #0,0
Current State: 57:[66, 57, 0], Operations: ['95-95=0']
Exploring Operation: 66*0=0, Resulting Numbers: [57, 0]
Generated Node #0,0,0: 57:[57, 0] Operation: 66*0=0
Moving to Node #0,0,0
Current State: 57:[57, 0], Operations: ['95-95=0', '66*0=0']
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
31,
7,
81,
48
] | 79 | [
"31-7=24",
"48/24=2",
"81-2=79"
] | Current State: 79:[31, 7, 81, 48], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [81, 48, 24]
Generated Node #2: [81, 48, 24] from Operation: 31-7=24
Current State: 79:[81, 48, 24], Operations: ['31-7=24']
Exploring Operation: 48/24=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 48/24=2
Current State: 79:[81, 2], Operations: ['31-7=24', '48/24=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[31, 7, 81, 48], Operations: []
Exploring Operation: 31+7=38, Resulting Numbers: [81, 48, 38]
Generated Node #0,0: 79:[81, 48, 38] Operation: 31+7=38
Exploring Operation: 31-7=24, Resulting Numbers: [81, 48, 24]
Generated Node #0,1: 79:[81, 48, 24] Operation: 31-7=24
Exploring Operation: 81-7=74, Resulting Numbers: [31, 48, 74]
Generated Node #0,2: 79:[31, 48, 74] Operation: 81-7=74
Exploring Operation: 7+48=55, Resulting Numbers: [31, 81, 55]
Generated Node #0,3: 79:[31, 81, 55] Operation: 7+48=55
Exploring Operation: 31+48=79, Resulting Numbers: [7, 81, 79]
Generated Node #0,4: 79:[7, 81, 79] Operation: 31+48=79
Moving to Node #0,0
Current State: 79:[81, 48, 38], Operations: ['31+7=38']
Exploring Operation: 81-48=33, Resulting Numbers: [38, 33]
Generated Node #0,0,0: 79:[38, 33] Operation: 81-48=33
Exploring Operation: 48+38=86, Resulting Numbers: [81, 86]
Generated Node #0,0,1: 79:[81, 86] Operation: 48+38=86
Exploring Operation: 81+38=119, Resulting Numbers: [48, 119]
Generated Node #0,0,2: 79:[48, 119] Operation: 81+38=119
Exploring Operation: 81-38=43, Resulting Numbers: [48, 43]
Generated Node #0,0,3: 79:[48, 43] Operation: 81-38=43
Exploring Operation: 48-38=10, Resulting Numbers: [81, 10]
Generated Node #0,0,4: 79:[81, 10] Operation: 48-38=10
Moving to Node #0,4
Current State: 79:[7, 81, 79], Operations: ['31+48=79']
Exploring Operation: 7+79=86, Resulting Numbers: [81, 86]
Generated Node #0,4,0: 79:[81, 86] Operation: 7+79=86
Exploring Operation: 81-7=74, Resulting Numbers: [79, 74]
Generated Node #0,4,1: 79:[79, 74] Operation: 81-7=74
Exploring Operation: 79-7=72, Resulting Numbers: [81, 72]
Generated Node #0,4,2: 79:[81, 72] Operation: 79-7=72
Exploring Operation: 81-79=2, Resulting Numbers: [7, 2]
Generated Node #0,4,3: 79:[7, 2] Operation: 81-79=2
Exploring Operation: 7+81=88, Resulting Numbers: [79, 88]
Generated Node #0,4,4: 79:[79, 88] Operation: 7+81=88
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[79, 74], Operations: ['31+48=79', '81-7=74']
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 79*74=5846, Resulting Numbers: [5846]
5846,79 unequal: No Solution
Exploring Operation: 79+74=153, Resulting Numbers: [153]
153,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[81, 86], Operations: ['31+48=79', '7+79=86']
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,79 unequal: No Solution
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[81, 72], Operations: ['31+48=79', '79-7=72']
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,79 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[79, 88], Operations: ['31+48=79', '7+81=88']
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 79+88=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 79*88=6952, Resulting Numbers: [6952]
6952,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[7, 2], Operations: ['31+48=79', '81-79=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,79 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: 79:[31, 81, 55], Operations: ['7+48=55']
Exploring Operation: 55-31=24, Resulting Numbers: [81, 24]
Generated Node #0,3,0: 79:[81, 24] Operation: 55-31=24
Exploring Operation: 31+81=112, Resulting Numbers: [55, 112]
Generated Node #0,3,1: 79:[55, 112] Operation: 31+81=112
Exploring Operation: 81-31=50, Resulting Numbers: [55, 50]
Generated Node #0,3,2: 79:[55, 50] Operation: 81-31=50
Exploring Operation: 81-55=26, Resulting Numbers: [31, 26]
Generated Node #0,3,3: 79:[31, 26] Operation: 81-55=26
Exploring Operation: 31+55=86, Resulting Numbers: [81, 86]
Generated Node #0,3,4: 79:[81, 86] Operation: 31+55=86
Moving to Node #0,2
Current State: 79:[31, 48, 74], Operations: ['81-7=74']
Exploring Operation: 74-31=43, Resulting Numbers: [48, 43]
Generated Node #0,2,0: 79:[48, 43] Operation: 74-31=43
Exploring Operation: 48-31=17, Resulting Numbers: [74, 17]
Generated Node #0,2,1: 79:[74, 17] Operation: 48-31=17
Exploring Operation: 31+48=79, Resulting Numbers: [74, 79]
Generated Node #0,2,2: 79:[74, 79] Operation: 31+48=79
Exploring Operation: 31+74=105, Resulting Numbers: [48, 105]
Generated Node #0,2,3: 79:[48, 105] Operation: 31+74=105
Exploring Operation: 48+74=122, Resulting Numbers: [31, 122]
Generated Node #0,2,4: 79:[31, 122] Operation: 48+74=122
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[74, 79], Operations: ['81-7=74', '31+48=79']
Exploring Operation: 74*79=5846, Resulting Numbers: [5846]
5846,79 unequal: No Solution
Exploring Operation: 74+79=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[48, 105], Operations: ['81-7=74', '31+74=105']
Exploring Operation: 105-48=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 48*105=5040, Resulting Numbers: [5040]
5040,79 unequal: No Solution
Exploring Operation: 48+105=153, Resulting Numbers: [153]
153,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[48, 43], Operations: ['81-7=74', '74-31=43']
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,79 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[74, 17], Operations: ['81-7=74', '48-31=17']
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 74*17=1258, Resulting Numbers: [1258]
1258,79 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[31, 122], Operations: ['81-7=74', '48+74=122']
Exploring Operation: 31+122=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 122-31=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 31*122=3782, Resulting Numbers: [3782]
3782,79 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: 79:[81, 48, 24], Operations: ['31-7=24']
Exploring Operation: 48-24=24, Resulting Numbers: [81, 24]
Generated Node #0,1,0: 79:[81, 24] Operation: 48-24=24
Exploring Operation: 81+24=105, Resulting Numbers: [48, 105]
Generated Node #0,1,1: 79:[48, 105] Operation: 81+24=105
Exploring Operation: 48/24=2, Resulting Numbers: [81, 2]
Generated Node #0,1,2: 79:[81, 2] Operation: 48/24=2
Exploring Operation: 48+24=72, Resulting Numbers: [81, 72]
Generated Node #0,1,3: 79:[81, 72] Operation: 48+24=72
Exploring Operation: 81-24=57, Resulting Numbers: [48, 57]
Generated Node #0,1,4: 79:[48, 57] Operation: 81-24=57
Moving to Node #0,0,1
Current State: 79:[81, 86], Operations: ['31+7=38', '48+38=86']
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,79 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[81, 86], Operations: ['7+48=55', '31+55=86']
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,79 unequal: No Solution
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[81, 72], Operations: ['31-7=24', '48+24=72']
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,79 unequal: No Solution
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[55, 50], Operations: ['7+48=55', '81-31=50']
Exploring Operation: 55*50=2750, Resulting Numbers: [2750]
2750,79 unequal: No Solution
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 55+50=105, Resulting Numbers: [105]
105,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[48, 57], Operations: ['31-7=24', '81-24=57']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,79 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[48, 105], Operations: ['31-7=24', '81+24=105']
Exploring Operation: 48*105=5040, Resulting Numbers: [5040]
5040,79 unequal: No Solution
Exploring Operation: 48+105=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 105-48=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[81, 24], Operations: ['31-7=24', '48-24=24']
Exploring Operation: 81*24=1944, Resulting Numbers: [1944]
1944,79 unequal: No Solution
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 81+24=105, Resulting Numbers: [105]
105,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[81, 24], Operations: ['7+48=55', '55-31=24']
Exploring Operation: 81*24=1944, Resulting Numbers: [1944]
1944,79 unequal: No Solution
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 81+24=105, Resulting Numbers: [105]
105,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[55, 112], Operations: ['7+48=55', '31+81=112']
Exploring Operation: 112-55=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 55+112=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 55*112=6160, Resulting Numbers: [6160]
6160,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[48, 43], Operations: ['31+7=38', '81-38=43']
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,79 unequal: No Solution
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[48, 119], Operations: ['31+7=38', '81+38=119']
Exploring Operation: 48+119=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Exploring Operation: 48*119=5712, Resulting Numbers: [5712]
5712,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[81, 10], Operations: ['31+7=38', '48-38=10']
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,79 unequal: No Solution
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[81, 2], Operations: ['31-7=24', '48/24=2']
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,79 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,79 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[31, 7, 81, 48], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [81, 48, 24]
Generated Node #0,1: 79:[81, 48, 24] Operation: 31-7=24
Moving to Node #0,1
Current State: 79:[81, 48, 24], Operations: ['31-7=24']
Exploring Operation: 48/24=2, Resulting Numbers: [81, 2]
Generated Node #0,1,2: 79:[81, 2] Operation: 48/24=2
Moving to Node #0,1,2
Current State: 79:[81, 2], Operations: ['31-7=24', '48/24=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.91059 | hs_5 | sum_heuristic |
[
36,
37,
60,
30
] | 75 | [
"36+37=73",
"60/30=2",
"73+2=75"
] | Current State: 75:[36, 37, 60, 30], Operations: []
Exploring Operation: 36+37=73, Resulting Numbers: [60, 30, 73]
Generated Node #2: [60, 30, 73] from Operation: 36+37=73
Current State: 75:[60, 30, 73], Operations: ['36+37=73']
Exploring Operation: 60/30=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 60/30=2
Current State: 75:[73, 2], Operations: ['36+37=73', '60/30=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[36, 37, 60, 30], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [60, 30, 1]
Generated Node #0,0: 75:[60, 30, 1] Operation: 37-36=1
Exploring Operation: 60-36=24, Resulting Numbers: [37, 30, 24]
Generated Node #0,1: 75:[37, 30, 24] Operation: 60-36=24
Exploring Operation: 60-37=23, Resulting Numbers: [36, 30, 23]
Generated Node #0,2: 75:[36, 30, 23] Operation: 60-37=23
Exploring Operation: 36+37=73, Resulting Numbers: [60, 30, 73]
Generated Node #0,3: 75:[60, 30, 73] Operation: 36+37=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[37, 30, 24], Operations: ['60-36=24']
Exploring Operation: 30-24=6, Resulting Numbers: [37, 6]
Generated Node #0,1,0: 75:[37, 6] Operation: 30-24=6
Exploring Operation: 37+30=67, Resulting Numbers: [24, 67]
Generated Node #0,1,1: 75:[24, 67] Operation: 37+30=67
Exploring Operation: 37-24=13, Resulting Numbers: [30, 13]
Generated Node #0,1,2: 75:[30, 13] Operation: 37-24=13
Exploring Operation: 37-30=7, Resulting Numbers: [24, 7]
Generated Node #0,1,3: 75:[24, 7] Operation: 37-30=7
Moving to Node #0,1,3
Current State: 75:[24, 7], Operations: ['60-36=24', '37-30=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,75 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[30, 13], Operations: ['60-36=24', '37-24=13']
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,75 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[24, 67], Operations: ['60-36=24', '37+30=67']
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,75 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[37, 6], Operations: ['60-36=24', '30-24=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,75 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[36, 30, 23], Operations: ['60-37=23']
Exploring Operation: 36+30=66, Resulting Numbers: [23, 66]
Generated Node #0,2,0: 75:[23, 66] Operation: 36+30=66
Exploring Operation: 36-30=6, Resulting Numbers: [23, 6]
Generated Node #0,2,1: 75:[23, 6] Operation: 36-30=6
Exploring Operation: 36-23=13, Resulting Numbers: [30, 13]
Generated Node #0,2,2: 75:[30, 13] Operation: 36-23=13
Exploring Operation: 30-23=7, Resulting Numbers: [36, 7]
Generated Node #0,2,3: 75:[36, 7] Operation: 30-23=7
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[23, 6], Operations: ['60-37=23', '36-30=6']
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,75 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[30, 13], Operations: ['60-37=23', '36-23=13']
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,75 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[23, 66], Operations: ['60-37=23', '36+30=66']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 23*66=1518, Resulting Numbers: [1518]
1518,75 unequal: No Solution
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 75:[36, 7], Operations: ['60-37=23', '30-23=7']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[60, 30, 1], Operations: ['37-36=1']
Exploring Operation: 60-30=30, Resulting Numbers: [1, 30]
Generated Node #0,0,0: 75:[1, 30] Operation: 60-30=30
Exploring Operation: 60/30=2, Resulting Numbers: [1, 2]
Generated Node #0,0,1: 75:[1, 2] Operation: 60/30=2
Exploring Operation: 60+30=90, Resulting Numbers: [1, 90]
Generated Node #0,0,2: 75:[1, 90] Operation: 60+30=90
Exploring Operation: 60+1=61, Resulting Numbers: [30, 61]
Generated Node #0,0,3: 75:[30, 61] Operation: 60+1=61
Moving to Node #0,0,1
Current State: 75:[1, 2], Operations: ['37-36=1', '60/30=2']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[1, 30], Operations: ['37-36=1', '60-30=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[1, 90], Operations: ['37-36=1', '60+30=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,75 unequal: No Solution
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,75 unequal: No Solution
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[30, 61], Operations: ['37-36=1', '60+1=61']
Exploring Operation: 30+61=91, Resulting Numbers: [91]
91,75 unequal: No Solution
Exploring Operation: 30*61=1830, Resulting Numbers: [1830]
1830,75 unequal: No Solution
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,75 unequal: No Solution
No 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: 75:[60, 30, 73], Operations: ['36+37=73']
Exploring Operation: 60+30=90, Resulting Numbers: [73, 90]
Generated Node #0,3,0: 75:[73, 90] Operation: 60+30=90
Exploring Operation: 60/30=2, Resulting Numbers: [73, 2]
Generated Node #0,3,1: 75:[73, 2] Operation: 60/30=2
Exploring Operation: 73-60=13, Resulting Numbers: [30, 13]
Generated Node #0,3,2: 75:[30, 13] Operation: 73-60=13
Exploring Operation: 60-30=30, Resulting Numbers: [73, 30]
Generated Node #0,3,3: 75:[73, 30] Operation: 60-30=30
Moving to Node #0,3,1
Current State: 75:[73, 2], Operations: ['36+37=73', '60/30=2']
Exploring Operation: 73*2=146, Resulting Numbers: [146]
146,75 unequal: No Solution
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[36, 37, 60, 30], Operations: []
Exploring Operation: 36+37=73, Resulting Numbers: [60, 30, 73]
Generated Node #0,3: 75:[60, 30, 73] Operation: 36+37=73
Moving to Node #0,3
Current State: 75:[60, 30, 73], Operations: ['36+37=73']
Exploring Operation: 60/30=2, Resulting Numbers: [73, 2]
Generated Node #0,3,1: 75:[73, 2] Operation: 60/30=2
Moving to Node #0,3,1
Current State: 75:[73, 2], Operations: ['36+37=73', '60/30=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.942708 | hs_4 | mult_heuristic |
[
60,
90,
34,
20
] | 71 | [
"90*34=3060",
"3060/60=51",
"20+51=71"
] | Current State: 71:[60, 90, 34, 20], Operations: []
Exploring Operation: 90*34=3060, Resulting Numbers: [60, 20, 3060]
Generated Node #2: [60, 20, 3060] from Operation: 90*34=3060
Current State: 71:[60, 20, 3060], Operations: ['90*34=3060']
Exploring Operation: 3060/60=51, Resulting Numbers: [20, 51]
Generated Node #3: [20, 51] from Operation: 3060/60=51
Current State: 71:[20, 51], Operations: ['90*34=3060', '3060/60=51']
Exploring Operation: 20+51=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[60, 90, 34, 20], Operations: []
Exploring Operation: 34+20=54, Resulting Numbers: [60, 90, 54]
Generated Node #0,0: 71:[60, 90, 54] Operation: 34+20=54
Exploring Operation: 90-20=70, Resulting Numbers: [60, 34, 70]
Generated Node #0,1: 71:[60, 34, 70] Operation: 90-20=70
Exploring Operation: 90-34=56, Resulting Numbers: [60, 20, 56]
Generated Node #0,2: 71:[60, 20, 56] Operation: 90-34=56
Exploring Operation: 60+20=80, Resulting Numbers: [90, 34, 80]
Generated Node #0,3: 71:[90, 34, 80] Operation: 60+20=80
Moving to Node #0,0
Current State: 71:[60, 90, 54], Operations: ['34+20=54']
Exploring Operation: 90-60=30, Resulting Numbers: [54, 30]
Generated Node #0,0,0: 71:[54, 30] Operation: 90-60=30
Exploring Operation: 90-54=36, Resulting Numbers: [60, 36]
Generated Node #0,0,1: 71:[60, 36] Operation: 90-54=36
Exploring Operation: 60-54=6, Resulting Numbers: [90, 6]
Generated Node #0,0,2: 71:[90, 6] Operation: 60-54=6
Exploring Operation: 60+54=114, Resulting Numbers: [90, 114]
Generated Node #0,0,3: 71:[90, 114] Operation: 60+54=114
Moving to Node #0,1
Current State: 71:[60, 34, 70], Operations: ['90-20=70']
Exploring Operation: 70-34=36, Resulting Numbers: [60, 36]
Generated Node #0,1,0: 71:[60, 36] Operation: 70-34=36
Exploring Operation: 60-34=26, Resulting Numbers: [70, 26]
Generated Node #0,1,1: 71:[70, 26] Operation: 60-34=26
Exploring Operation: 60+34=94, Resulting Numbers: [70, 94]
Generated Node #0,1,2: 71:[70, 94] Operation: 60+34=94
Exploring Operation: 34+70=104, Resulting Numbers: [60, 104]
Generated Node #0,1,3: 71:[60, 104] Operation: 34+70=104
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[70, 94], Operations: ['90-20=70', '60+34=94']
Exploring Operation: 70*94=6580, Resulting Numbers: [6580]
6580,71 unequal: No Solution
Exploring Operation: 70+94=164, Resulting Numbers: [164]
164,71 unequal: No Solution
Exploring Operation: 94-70=24, Resulting Numbers: [24]
24,71 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 #0,1,3
Current State: 71:[60, 104], Operations: ['90-20=70', '34+70=104']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Exploring Operation: 60*104=6240, Resulting Numbers: [6240]
6240,71 unequal: No Solution
Exploring Operation: 60+104=164, Resulting Numbers: [164]
164,71 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 #0,1,0
Current State: 71:[60, 36], Operations: ['90-20=70', '70-34=36']
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[70, 26], Operations: ['90-20=70', '60-34=26']
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,71 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,71 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: 71:[90, 34, 80], Operations: ['60+20=80']
Exploring Operation: 90-34=56, Resulting Numbers: [80, 56]
Generated Node #0,3,0: 71:[80, 56] Operation: 90-34=56
Exploring Operation: 90+34=124, Resulting Numbers: [80, 124]
Generated Node #0,3,1: 71:[80, 124] Operation: 90+34=124
Exploring Operation: 80-34=46, Resulting Numbers: [90, 46]
Generated Node #0,3,2: 71:[90, 46] Operation: 80-34=46
Exploring Operation: 34+80=114, Resulting Numbers: [90, 114]
Generated Node #0,3,3: 71:[90, 114] Operation: 34+80=114
Moving to Node #0,2
Current State: 71:[60, 20, 56], Operations: ['90-34=56']
Exploring Operation: 60+20=80, Resulting Numbers: [56, 80]
Generated Node #0,2,0: 71:[56, 80] Operation: 60+20=80
Exploring Operation: 20+56=76, Resulting Numbers: [60, 76]
Generated Node #0,2,1: 71:[60, 76] Operation: 20+56=76
Exploring Operation: 60-20=40, Resulting Numbers: [56, 40]
Generated Node #0,2,2: 71:[56, 40] Operation: 60-20=40
Exploring Operation: 56-20=36, Resulting Numbers: [60, 36]
Generated Node #0,2,3: 71:[60, 36] Operation: 56-20=36
Moving to Node #0,2,1
Current State: 71:[60, 76], Operations: ['90-34=56', '20+56=76']
Exploring Operation: 60+76=136, Resulting Numbers: [136]
136,71 unequal: No Solution
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 60*76=4560, Resulting Numbers: [4560]
4560,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[80, 56], Operations: ['60+20=80', '90-34=56']
Exploring Operation: 80+56=136, Resulting Numbers: [136]
136,71 unequal: No Solution
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 80*56=4480, Resulting Numbers: [4480]
4480,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[56, 80], Operations: ['90-34=56', '60+20=80']
Exploring Operation: 56*80=4480, Resulting Numbers: [4480]
4480,71 unequal: No Solution
Exploring Operation: 56+80=136, Resulting Numbers: [136]
136,71 unequal: No Solution
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[90, 46], Operations: ['60+20=80', '80-34=46']
Exploring Operation: 90+46=136, Resulting Numbers: [136]
136,71 unequal: No Solution
Exploring Operation: 90*46=4140, Resulting Numbers: [4140]
4140,71 unequal: No Solution
Exploring Operation: 90-46=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[60, 36], Operations: ['90-34=56', '56-20=36']
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[56, 40], Operations: ['90-34=56', '60-20=40']
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 56*40=2240, Resulting Numbers: [2240]
2240,71 unequal: No Solution
Exploring Operation: 56+40=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[60, 36], Operations: ['34+20=54', '90-54=36']
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,71 unequal: No Solution
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[54, 30], Operations: ['34+20=54', '90-60=30']
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,71 unequal: No Solution
Exploring Operation: 54*30=1620, Resulting Numbers: [1620]
1620,71 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[80, 124], Operations: ['60+20=80', '90+34=124']
Exploring Operation: 80*124=9920, Resulting Numbers: [9920]
9920,71 unequal: No Solution
Exploring Operation: 80+124=204, Resulting Numbers: [204]
204,71 unequal: No Solution
Exploring Operation: 124-80=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[90, 114], Operations: ['34+20=54', '60+54=114']
Exploring Operation: 114-90=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 90+114=204, Resulting Numbers: [204]
204,71 unequal: No Solution
Exploring Operation: 90*114=10260, Resulting Numbers: [10260]
10260,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[90, 114], Operations: ['60+20=80', '34+80=114']
Exploring Operation: 90+114=204, Resulting Numbers: [204]
204,71 unequal: No Solution
Exploring Operation: 114-90=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 90*114=10260, Resulting Numbers: [10260]
10260,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[90, 6], Operations: ['34+20=54', '60-54=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Exploring Operation: 90*6=540, Resulting Numbers: [540]
540,71 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,71 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
17,
2,
24,
77
] | 35 | [
"24-17=7",
"77-7=70",
"70/2=35"
] | Current State: 35:[17, 2, 24, 77], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [2, 77, 7]
Generated Node #2: [2, 77, 7] from Operation: 24-17=7
Current State: 35:[2, 77, 7], Operations: ['24-17=7']
Exploring Operation: 77-7=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 77-7=70
Current State: 35:[2, 70], Operations: ['24-17=7', '77-7=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[17, 2, 24, 77], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [17, 2, 53]
Generated Node #0,0: 35:[17, 2, 53] Operation: 77-24=53
Exploring Operation: 77-17=60, Resulting Numbers: [2, 24, 60]
Generated Node #0,1: 35:[2, 24, 60] Operation: 77-17=60
Exploring Operation: 24-17=7, Resulting Numbers: [2, 77, 7]
Generated Node #0,2: 35:[2, 77, 7] Operation: 24-17=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[17, 2, 53], Operations: ['77-24=53']
Exploring Operation: 17*2=34, Resulting Numbers: [53, 34]
Generated Node #0,0,0: 35:[53, 34] Operation: 17*2=34
Exploring Operation: 17-2=15, Resulting Numbers: [53, 15]
Generated Node #0,0,1: 35:[53, 15] Operation: 17-2=15
Exploring Operation: 53-17=36, Resulting Numbers: [2, 36]
Generated Node #0,0,2: 35:[2, 36] Operation: 53-17=36
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[2, 36], Operations: ['77-24=53', '53-17=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[53, 34], Operations: ['77-24=53', '17*2=34']
Exploring Operation: 53*34=1802, Resulting Numbers: [1802]
1802,35 unequal: No Solution
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 53+34=87, Resulting Numbers: [87]
87,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[53, 15], Operations: ['77-24=53', '17-2=15']
Exploring Operation: 53*15=795, Resulting Numbers: [795]
795,35 unequal: No Solution
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[2, 24, 60], Operations: ['77-17=60']
Exploring Operation: 60-24=36, Resulting Numbers: [2, 36]
Generated Node #0,1,0: 35:[2, 36] Operation: 60-24=36
Exploring Operation: 60/2=30, Resulting Numbers: [24, 30]
Generated Node #0,1,1: 35:[24, 30] Operation: 60/2=30
Exploring Operation: 24/2=12, Resulting Numbers: [60, 12]
Generated Node #0,1,2: 35:[60, 12] Operation: 24/2=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[2, 36], Operations: ['77-17=60', '60-24=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[24, 30], Operations: ['77-17=60', '60/2=30']
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,35 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[60, 12], Operations: ['77-17=60', '24/2=12']
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[2, 77, 7], Operations: ['24-17=7']
Exploring Operation: 77-7=70, Resulting Numbers: [2, 70]
Generated Node #0,2,0: 35:[2, 70] Operation: 77-7=70
Exploring Operation: 77-2=75, Resulting Numbers: [7, 75]
Generated Node #0,2,1: 35:[7, 75] Operation: 77-2=75
Exploring Operation: 77/7=11, Resulting Numbers: [2, 11]
Generated Node #0,2,2: 35:[2, 11] Operation: 77/7=11
Moving to Node #0,2,2
Current State: 35:[2, 11], Operations: ['24-17=7', '77/7=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[2, 70], Operations: ['24-17=7', '77-7=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[17, 2, 24, 77], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [2, 77, 7]
Generated Node #0,2: 35:[2, 77, 7] Operation: 24-17=7
Moving to Node #0,2
Current State: 35:[2, 77, 7], Operations: ['24-17=7']
Exploring Operation: 77-7=70, Resulting Numbers: [2, 70]
Generated Node #0,2,0: 35:[2, 70] Operation: 77-7=70
Moving to Node #0,2,0
Current State: 35:[2, 70], Operations: ['24-17=7', '77-7=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_3 | sum_heuristic |
[
73,
15,
34,
46
] | 76 | [
"73+15=88",
"46-34=12",
"88-12=76"
] | Current State: 76:[73, 15, 34, 46], Operations: []
Exploring Operation: 73+15=88, Resulting Numbers: [34, 46, 88]
Generated Node #2: [34, 46, 88] from Operation: 73+15=88
Current State: 76:[34, 46, 88], Operations: ['73+15=88']
Exploring Operation: 46-34=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 46-34=12
Current State: 76:[88, 12], Operations: ['73+15=88', '46-34=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[73, 15, 34, 46], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [73, 46, 19]
Generated Node #0,0: 76:[73, 46, 19] Operation: 34-15=19
Exploring Operation: 34+46=80, Resulting Numbers: [73, 15, 80]
Generated Node #0,1: 76:[73, 15, 80] Operation: 34+46=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[73, 46, 19], Operations: ['34-15=19']
Exploring Operation: 73-46=27, Resulting Numbers: [19, 27]
Generated Node #0,0,0: 76:[19, 27] Operation: 73-46=27
Exploring Operation: 46-19=27, Resulting Numbers: [73, 27]
Generated Node #0,0,1: 76:[73, 27] Operation: 46-19=27
Moving to Node #0,0,0
Current State: 76:[19, 27], Operations: ['34-15=19', '73-46=27']
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[73, 27], Operations: ['34-15=19', '46-19=27']
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,76 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[73, 15, 80], Operations: ['34+46=80']
Exploring Operation: 80-73=7, Resulting Numbers: [15, 7]
Generated Node #0,1,0: 76:[15, 7] Operation: 80-73=7
Exploring Operation: 80-15=65, Resulting Numbers: [73, 65]
Generated Node #0,1,1: 76:[73, 65] Operation: 80-15=65
Moving to Node #0,1,0
Current State: 76:[15, 7], Operations: ['34+46=80', '80-73=7']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[73, 65], Operations: ['34+46=80', '80-15=65']
Exploring Operation: 73+65=138, Resulting Numbers: [138]
138,76 unequal: No Solution
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,76 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 |
[
65,
41,
35,
77
] | 88 | [
"65-41=24",
"35+77=112",
"112-24=88"
] | Current State: 88:[65, 41, 35, 77], Operations: []
Exploring Operation: 65-41=24, Resulting Numbers: [35, 77, 24]
Generated Node #2: [35, 77, 24] from Operation: 65-41=24
Current State: 88:[35, 77, 24], Operations: ['65-41=24']
Exploring Operation: 35+77=112, Resulting Numbers: [24, 112]
Generated Node #3: [24, 112] from Operation: 35+77=112
Current State: 88:[24, 112], Operations: ['65-41=24', '35+77=112']
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[65, 41, 35, 77], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [41, 35, 12]
Generated Node #0,0: 88:[41, 35, 12] Operation: 77-65=12
Moving to Node #0,0
Current State: 88:[41, 35, 12], Operations: ['77-65=12']
Exploring Operation: 41-35=6, Resulting Numbers: [12, 6]
Generated Node #0,0,0: 88:[12, 6] Operation: 41-35=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[12, 6], Operations: ['77-65=12', '41-35=6']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,88 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,
83,
35,
99
] | 15 | [
"78*35=2730",
"83+99=182",
"2730/182=15"
] | Current State: 15:[78, 83, 35, 99], Operations: []
Exploring Operation: 78*35=2730, Resulting Numbers: [83, 99, 2730]
Generated Node #2: [83, 99, 2730] from Operation: 78*35=2730
Current State: 15:[83, 99, 2730], Operations: ['78*35=2730']
Exploring Operation: 83+99=182, Resulting Numbers: [2730, 182]
Generated Node #3: [2730, 182] from Operation: 83+99=182
Current State: 15:[2730, 182], Operations: ['78*35=2730', '83+99=182']
Exploring Operation: 2730/182=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[78, 83, 35, 99], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [78, 35, 16]
Generated Node #0,0: 15:[78, 35, 16] Operation: 99-83=16
Moving to Node #0,0
Current State: 15:[78, 35, 16], Operations: ['99-83=16']
Exploring Operation: 78-35=43, Resulting Numbers: [16, 43]
Generated Node #0,0,0: 15:[16, 43] Operation: 78-35=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[16, 43], Operations: ['99-83=16', '78-35=43']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,15 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 |
[
23,
44,
10,
29
] | 80 | [
"44-23=21",
"29-21=8",
"10*8=80"
] | Current State: 80:[23, 44, 10, 29], Operations: []
Exploring Operation: 44-23=21, Resulting Numbers: [10, 29, 21]
Generated Node #2: [10, 29, 21] from Operation: 44-23=21
Current State: 80:[10, 29, 21], Operations: ['44-23=21']
Exploring Operation: 29-21=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 29-21=8
Current State: 80:[10, 8], Operations: ['44-23=21', '29-21=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[23, 44, 10, 29], Operations: []
Exploring Operation: 29-23=6, Resulting Numbers: [44, 10, 6]
Generated Node #0,0: 80:[44, 10, 6] Operation: 29-23=6
Exploring Operation: 44-29=15, Resulting Numbers: [23, 10, 15]
Generated Node #0,1: 80:[23, 10, 15] Operation: 44-29=15
Moving to Node #0,1
Current State: 80:[23, 10, 15], Operations: ['44-29=15']
Exploring Operation: 23+15=38, Resulting Numbers: [10, 38]
Generated Node #0,1,0: 80:[10, 38] Operation: 23+15=38
Exploring Operation: 23-15=8, Resulting Numbers: [10, 8]
Generated Node #0,1,1: 80:[10, 8] Operation: 23-15=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[10, 8], Operations: ['44-29=15', '23-15=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[23, 44, 10, 29], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [23, 10, 15]
Generated Node #0,1: 80:[23, 10, 15] Operation: 44-29=15
Moving to Node #0,1
Current State: 80:[23, 10, 15], Operations: ['44-29=15']
Exploring Operation: 23-15=8, Resulting Numbers: [10, 8]
Generated Node #0,1,1: 80:[10, 8] Operation: 23-15=8
Moving to Node #0,1,1
Current State: 80:[10, 8], Operations: ['44-29=15', '23-15=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
95,
86,
45,
2
] | 97 | [
"95+45=140",
"86/2=43",
"140-43=97"
] | Current State: 97:[95, 86, 45, 2], Operations: []
Exploring Operation: 95+45=140, Resulting Numbers: [86, 2, 140]
Generated Node #2: [86, 2, 140] from Operation: 95+45=140
Current State: 97:[86, 2, 140], Operations: ['95+45=140']
Exploring Operation: 86/2=43, Resulting Numbers: [140, 43]
Generated Node #3: [140, 43] from Operation: 86/2=43
Current State: 97:[140, 43], Operations: ['95+45=140', '86/2=43']
Exploring Operation: 140-43=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[95, 86, 45, 2], Operations: []
Exploring Operation: 95+2=97, Resulting Numbers: [86, 45, 97]
Generated Node #0,0: 97:[86, 45, 97] Operation: 95+2=97
Exploring Operation: 86+2=88, Resulting Numbers: [95, 45, 88]
Generated Node #0,1: 97:[95, 45, 88] Operation: 86+2=88
Exploring Operation: 45*2=90, Resulting Numbers: [95, 86, 90]
Generated Node #0,2: 97:[95, 86, 90] Operation: 45*2=90
Moving to Node #0,2
Current State: 97:[95, 86, 90], Operations: ['45*2=90']
Exploring Operation: 95+86=181, Resulting Numbers: [90, 181]
Generated Node #0,2,0: 97:[90, 181] Operation: 95+86=181
Exploring Operation: 86+90=176, Resulting Numbers: [95, 176]
Generated Node #0,2,1: 97:[95, 176] Operation: 86+90=176
Exploring Operation: 95-86=9, Resulting Numbers: [90, 9]
Generated Node #0,2,2: 97:[90, 9] Operation: 95-86=9
Moving to Node #0,0
Current State: 97:[86, 45, 97], Operations: ['95+2=97']
Exploring Operation: 86+45=131, Resulting Numbers: [97, 131]
Generated Node #0,0,0: 97:[97, 131] Operation: 86+45=131
Exploring Operation: 86-45=41, Resulting Numbers: [97, 41]
Generated Node #0,0,1: 97:[97, 41] Operation: 86-45=41
Exploring Operation: 45+97=142, Resulting Numbers: [86, 142]
Generated Node #0,0,2: 97:[86, 142] Operation: 45+97=142
Moving to Node #0,1
Current State: 97:[95, 45, 88], Operations: ['86+2=88']
Exploring Operation: 95-45=50, Resulting Numbers: [88, 50]
Generated Node #0,1,0: 97:[88, 50] Operation: 95-45=50
Exploring Operation: 95+45=140, Resulting Numbers: [88, 140]
Generated Node #0,1,1: 97:[88, 140] Operation: 95+45=140
Exploring Operation: 45+88=133, Resulting Numbers: [95, 133]
Generated Node #0,1,2: 97:[95, 133] Operation: 45+88=133
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[95, 133], Operations: ['86+2=88', '45+88=133']
Exploring Operation: 133-95=38, Resulting Numbers: [38]
38,97 unequal: No Solution
Exploring Operation: 95+133=228, Resulting Numbers: [228]
228,97 unequal: No Solution
Exploring Operation: 95*133=12635, Resulting Numbers: [12635]
12635,97 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 #0,1,1
Current State: 97:[88, 140], Operations: ['86+2=88', '95+45=140']
Exploring Operation: 88*140=12320, Resulting Numbers: [12320]
12320,97 unequal: No Solution
Exploring Operation: 88+140=228, Resulting Numbers: [228]
228,97 unequal: No Solution
Exploring Operation: 140-88=52, Resulting Numbers: [52]
52,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[88, 50], Operations: ['86+2=88', '95-45=50']
Exploring Operation: 88*50=4400, Resulting Numbers: [4400]
4400,97 unequal: No Solution
Exploring Operation: 88+50=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,97 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: 97:[97, 131], Operations: ['95+2=97', '86+45=131']
Exploring Operation: 97*131=12707, Resulting Numbers: [12707]
12707,97 unequal: No Solution
Exploring Operation: 97+131=228, Resulting Numbers: [228]
228,97 unequal: No Solution
Exploring Operation: 131-97=34, Resulting Numbers: [34]
34,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[86, 142], Operations: ['95+2=97', '45+97=142']
Exploring Operation: 142-86=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 86+142=228, Resulting Numbers: [228]
228,97 unequal: No Solution
Exploring Operation: 86*142=12212, Resulting Numbers: [12212]
12212,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[97, 41], Operations: ['95+2=97', '86-45=41']
Exploring Operation: 97*41=3977, Resulting Numbers: [3977]
3977,97 unequal: No Solution
Exploring Operation: 97+41=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 97-41=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[95, 176], Operations: ['45*2=90', '86+90=176']
Exploring Operation: 95+176=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Exploring Operation: 176-95=81, Resulting Numbers: [81]
81,97 unequal: No Solution
Exploring Operation: 95*176=16720, Resulting Numbers: [16720]
16720,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[90, 181], Operations: ['45*2=90', '95+86=181']
Exploring Operation: 181-90=91, Resulting Numbers: [91]
91,97 unequal: No Solution
Exploring Operation: 90*181=16290, Resulting Numbers: [16290]
16290,97 unequal: No Solution
Exploring Operation: 90+181=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[90, 9], Operations: ['45*2=90', '95-86=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,97 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
69,
92,
46,
97
] | 56 | [
"97-69=28",
"92/46=2",
"28*2=56"
] | Current State: 56:[69, 92, 46, 97], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [92, 46, 28]
Generated Node #2: [92, 46, 28] from Operation: 97-69=28
Current State: 56:[92, 46, 28], Operations: ['97-69=28']
Exploring Operation: 92/46=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 92/46=2
Current State: 56:[28, 2], Operations: ['97-69=28', '92/46=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[69, 92, 46, 97], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [69, 92, 51]
Generated Node #0,0: 56:[69, 92, 51] Operation: 97-46=51
Exploring Operation: 97-92=5, Resulting Numbers: [69, 46, 5]
Generated Node #0,1: 56:[69, 46, 5] Operation: 97-92=5
Exploring Operation: 92/46=2, Resulting Numbers: [69, 97, 2]
Generated Node #0,2: 56:[69, 97, 2] Operation: 92/46=2
Exploring Operation: 97-69=28, Resulting Numbers: [92, 46, 28]
Generated Node #0,3: 56:[92, 46, 28] Operation: 97-69=28
Exploring Operation: 92-69=23, Resulting Numbers: [46, 97, 23]
Generated Node #0,4: 56:[46, 97, 23] Operation: 92-69=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[69, 46, 5], Operations: ['97-92=5']
Exploring Operation: 46+5=51, Resulting Numbers: [69, 51]
Generated Node #0,1,0: 56:[69, 51] Operation: 46+5=51
Exploring Operation: 69-5=64, Resulting Numbers: [46, 64]
Generated Node #0,1,1: 56:[46, 64] Operation: 69-5=64
Exploring Operation: 69-46=23, Resulting Numbers: [5, 23]
Generated Node #0,1,2: 56:[5, 23] Operation: 69-46=23
Exploring Operation: 69+5=74, Resulting Numbers: [46, 74]
Generated Node #0,1,3: 56:[46, 74] Operation: 69+5=74
Exploring Operation: 46-5=41, Resulting Numbers: [69, 41]
Generated Node #0,1,4: 56:[69, 41] Operation: 46-5=41
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[5, 23], Operations: ['97-92=5', '69-46=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,56 unequal: No Solution
No 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: 56:[69, 51], Operations: ['97-92=5', '46+5=51']
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 69*51=3519, Resulting Numbers: [3519]
3519,56 unequal: No Solution
Exploring Operation: 69+51=120, Resulting Numbers: [120]
120,56 unequal: No Solution
No 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: 56:[46, 64], Operations: ['97-92=5', '69-5=64']
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 46*64=2944, Resulting Numbers: [2944]
2944,56 unequal: No Solution
No 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: 56:[69, 41], Operations: ['97-92=5', '46-5=41']
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,56 unequal: No Solution
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No 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: 56:[46, 74], Operations: ['97-92=5', '69+5=74']
Exploring Operation: 46+74=120, Resulting Numbers: [120]
120,56 unequal: No Solution
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 46*74=3404, Resulting Numbers: [3404]
3404,56 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: 56:[92, 46, 28], Operations: ['97-69=28']
Exploring Operation: 46+28=74, Resulting Numbers: [92, 74]
Generated Node #0,3,0: 56:[92, 74] Operation: 46+28=74
Exploring Operation: 92/46=2, Resulting Numbers: [28, 2]
Generated Node #0,3,1: 56:[28, 2] Operation: 92/46=2
Exploring Operation: 92-28=64, Resulting Numbers: [46, 64]
Generated Node #0,3,2: 56:[46, 64] Operation: 92-28=64
Exploring Operation: 92-46=46, Resulting Numbers: [28, 46]
Generated Node #0,3,3: 56:[28, 46] Operation: 92-46=46
Exploring Operation: 46-28=18, Resulting Numbers: [92, 18]
Generated Node #0,3,4: 56:[92, 18] Operation: 46-28=18
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 56:[28, 2], Operations: ['97-69=28', '92/46=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[69, 92, 46, 97], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [92, 46, 28]
Generated Node #0,3: 56:[92, 46, 28] Operation: 97-69=28
Moving to Node #0,3
Current State: 56:[92, 46, 28], Operations: ['97-69=28']
Exploring Operation: 92/46=2, Resulting Numbers: [28, 2]
Generated Node #0,3,1: 56:[28, 2] Operation: 92/46=2
Moving to Node #0,3,1
Current State: 56:[28, 2], Operations: ['97-69=28', '92/46=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
46,
22,
92,
3
] | 72 | [
"46+22=68",
"92-68=24",
"3*24=72"
] | Current State: 72:[46, 22, 92, 3], Operations: []
Exploring Operation: 46+22=68, Resulting Numbers: [92, 3, 68]
Generated Node #2: [92, 3, 68] from Operation: 46+22=68
Current State: 72:[92, 3, 68], Operations: ['46+22=68']
Exploring Operation: 92-68=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 92-68=24
Current State: 72:[3, 24], Operations: ['46+22=68', '92-68=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[46, 22, 92, 3], Operations: []
Exploring Operation: 92-46=46, Resulting Numbers: [22, 3, 46]
Generated Node #0,0: 72:[22, 3, 46] Operation: 92-46=46
Exploring Operation: 92-22=70, Resulting Numbers: [46, 3, 70]
Generated Node #0,1: 72:[46, 3, 70] Operation: 92-22=70
Exploring Operation: 92/46=2, Resulting Numbers: [22, 3, 2]
Generated Node #0,2: 72:[22, 3, 2] Operation: 92/46=2
Moving to Node #0,2
Current State: 72:[22, 3, 2], Operations: ['92/46=2']
Exploring Operation: 22-3=19, Resulting Numbers: [2, 19]
Generated Node #0,2,0: 72:[2, 19] Operation: 22-3=19
Exploring Operation: 22+3=25, Resulting Numbers: [2, 25]
Generated Node #0,2,1: 72:[2, 25] Operation: 22+3=25
Exploring Operation: 22+2=24, Resulting Numbers: [3, 24]
Generated Node #0,2,2: 72:[3, 24] Operation: 22+2=24
Moving to Node #0,0
Current State: 72:[22, 3, 46], Operations: ['92-46=46']
Exploring Operation: 22+46=68, Resulting Numbers: [3, 68]
Generated Node #0,0,0: 72:[3, 68] Operation: 22+46=68
Exploring Operation: 46-3=43, Resulting Numbers: [22, 43]
Generated Node #0,0,1: 72:[22, 43] Operation: 46-3=43
Exploring Operation: 46-22=24, Resulting Numbers: [3, 24]
Generated Node #0,0,2: 72:[3, 24] Operation: 46-22=24
Moving to Node #0,1
Current State: 72:[46, 3, 70], Operations: ['92-22=70']
Exploring Operation: 46-3=43, Resulting Numbers: [70, 43]
Generated Node #0,1,0: 72:[70, 43] Operation: 46-3=43
Exploring Operation: 70-46=24, Resulting Numbers: [3, 24]
Generated Node #0,1,1: 72:[3, 24] Operation: 70-46=24
Exploring Operation: 3+70=73, Resulting Numbers: [46, 73]
Generated Node #0,1,2: 72:[46, 73] Operation: 3+70=73
Moving to Node #0,2,2
Current State: 72:[3, 24], Operations: ['92/46=2', '22+2=24']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[46, 22, 92, 3], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [22, 3, 2]
Generated Node #0,2: 72:[22, 3, 2] Operation: 92/46=2
Moving to Node #0,2
Current State: 72:[22, 3, 2], Operations: ['92/46=2']
Exploring Operation: 22+2=24, Resulting Numbers: [3, 24]
Generated Node #0,2,2: 72:[3, 24] Operation: 22+2=24
Moving to Node #0,2,2
Current State: 72:[3, 24], Operations: ['92/46=2', '22+2=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.983507 | hs_3 | mult_heuristic |
[
59,
25,
12,
14
] | 84 | [
"59+25=84",
"12*14=168",
"168-84=84"
] | Current State: 84:[59, 25, 12, 14], Operations: []
Exploring Operation: 59+25=84, Resulting Numbers: [12, 14, 84]
Generated Node #2: [12, 14, 84] from Operation: 59+25=84
Current State: 84:[12, 14, 84], Operations: ['59+25=84']
Exploring Operation: 12*14=168, Resulting Numbers: [84, 168]
Generated Node #3: [84, 168] from Operation: 12*14=168
Current State: 84:[84, 168], Operations: ['59+25=84', '12*14=168']
Exploring Operation: 168-84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[59, 25, 12, 14], Operations: []
Exploring Operation: 59+25=84, Resulting Numbers: [12, 14, 84]
Generated Node #0,0: 84:[12, 14, 84] Operation: 59+25=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[12, 14, 84], Operations: ['59+25=84']
Exploring Operation: 14-12=2, Resulting Numbers: [84, 2]
Generated Node #0,0,0: 84:[84, 2] Operation: 14-12=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[84, 2], Operations: ['59+25=84', '14-12=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
97,
80,
81,
91
] | 86 | [
"97-81=16",
"80/16=5",
"91-5=86"
] | Current State: 86:[97, 80, 81, 91], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [80, 91, 16]
Generated Node #2: [80, 91, 16] from Operation: 97-81=16
Current State: 86:[80, 91, 16], Operations: ['97-81=16']
Exploring Operation: 80/16=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 80/16=5
Current State: 86:[91, 5], Operations: ['97-81=16', '80/16=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[97, 80, 81, 91], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [97, 91, 1]
Generated Node #0,0: 86:[97, 91, 1] Operation: 81-80=1
Exploring Operation: 97-81=16, Resulting Numbers: [80, 91, 16]
Generated Node #0,1: 86:[80, 91, 16] Operation: 97-81=16
Exploring Operation: 97-80=17, Resulting Numbers: [81, 91, 17]
Generated Node #0,2: 86:[81, 91, 17] Operation: 97-80=17
Exploring Operation: 97-91=6, Resulting Numbers: [80, 81, 6]
Generated Node #0,3: 86:[80, 81, 6] Operation: 97-91=6
Moving to Node #0,3
Current State: 86:[80, 81, 6], Operations: ['97-91=6']
Exploring Operation: 80+6=86, Resulting Numbers: [81, 86]
Generated Node #0,3,0: 86:[81, 86] Operation: 80+6=86
Exploring Operation: 81-80=1, Resulting Numbers: [6, 1]
Generated Node #0,3,1: 86:[6, 1] Operation: 81-80=1
Exploring Operation: 80-6=74, Resulting Numbers: [81, 74]
Generated Node #0,3,2: 86:[81, 74] Operation: 80-6=74
Exploring Operation: 81+6=87, Resulting Numbers: [80, 87]
Generated Node #0,3,3: 86:[80, 87] Operation: 81+6=87
Moving to Node #0,0
Current State: 86:[97, 91, 1], Operations: ['81-80=1']
Exploring Operation: 97*1=97, Resulting Numbers: [91, 97]
Generated Node #0,0,0: 86:[91, 97] Operation: 97*1=97
Exploring Operation: 97-1=96, Resulting Numbers: [91, 96]
Generated Node #0,0,1: 86:[91, 96] Operation: 97-1=96
Exploring Operation: 97-91=6, Resulting Numbers: [1, 6]
Generated Node #0,0,2: 86:[1, 6] Operation: 97-91=6
Exploring Operation: 91-1=90, Resulting Numbers: [97, 90]
Generated Node #0,0,3: 86:[97, 90] Operation: 91-1=90
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[1, 6], Operations: ['81-80=1', '97-91=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,86 unequal: No Solution
No 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: 86:[91, 96], Operations: ['81-80=1', '97-1=96']
Exploring Operation: 91*96=8736, Resulting Numbers: [8736]
8736,86 unequal: No Solution
Exploring Operation: 91+96=187, Resulting Numbers: [187]
187,86 unequal: No Solution
Exploring Operation: 96-91=5, Resulting Numbers: [5]
5,86 unequal: No Solution
No 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: 86:[97, 90], Operations: ['81-80=1', '91-1=90']
Exploring Operation: 97+90=187, Resulting Numbers: [187]
187,86 unequal: No Solution
Exploring Operation: 97*90=8730, Resulting Numbers: [8730]
8730,86 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,86 unequal: No Solution
No 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: 86:[91, 97], Operations: ['81-80=1', '97*1=97']
Exploring Operation: 91+97=188, Resulting Numbers: [188]
188,86 unequal: No Solution
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 91*97=8827, Resulting Numbers: [8827]
8827,86 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: 86:[81, 91, 17], Operations: ['97-80=17']
Exploring Operation: 81+17=98, Resulting Numbers: [91, 98]
Generated Node #0,2,0: 86:[91, 98] Operation: 81+17=98
Exploring Operation: 81-17=64, Resulting Numbers: [91, 64]
Generated Node #0,2,1: 86:[91, 64] Operation: 81-17=64
Exploring Operation: 91-81=10, Resulting Numbers: [17, 10]
Generated Node #0,2,2: 86:[17, 10] Operation: 91-81=10
Exploring Operation: 91-17=74, Resulting Numbers: [81, 74]
Generated Node #0,2,3: 86:[81, 74] Operation: 91-17=74
Moving to Node #0,1
Current State: 86:[80, 91, 16], Operations: ['97-81=16']
Exploring Operation: 80/16=5, Resulting Numbers: [91, 5]
Generated Node #0,1,0: 86:[91, 5] Operation: 80/16=5
Exploring Operation: 80+16=96, Resulting Numbers: [91, 96]
Generated Node #0,1,1: 86:[91, 96] Operation: 80+16=96
Exploring Operation: 91-80=11, Resulting Numbers: [16, 11]
Generated Node #0,1,2: 86:[16, 11] Operation: 91-80=11
Exploring Operation: 91-16=75, Resulting Numbers: [80, 75]
Generated Node #0,1,3: 86:[80, 75] Operation: 91-16=75
Moving to Node #0,3,0
Current State: 86:[81, 86], Operations: ['97-91=6', '80+6=86']
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,86 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[6, 1], Operations: ['97-91=6', '81-80=1']
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[80, 87], Operations: ['97-91=6', '81+6=87']
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,86 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[91, 5], Operations: ['97-81=16', '80/16=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[97, 80, 81, 91], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [80, 91, 16]
Generated Node #0,1: 86:[80, 91, 16] Operation: 97-81=16
Moving to Node #0,1
Current State: 86:[80, 91, 16], Operations: ['97-81=16']
Exploring Operation: 80/16=5, Resulting Numbers: [91, 5]
Generated Node #0,1,0: 86:[91, 5] Operation: 80/16=5
Moving to Node #0,1,0
Current State: 86:[91, 5], Operations: ['97-81=16', '80/16=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.958333 | hs_4 | sum_heuristic |
[
58,
72,
95,
53
] | 88 | [
"58+72=130",
"95-53=42",
"130-42=88"
] | Current State: 88:[58, 72, 95, 53], Operations: []
Exploring Operation: 58+72=130, Resulting Numbers: [95, 53, 130]
Generated Node #2: [95, 53, 130] from Operation: 58+72=130
Current State: 88:[95, 53, 130], Operations: ['58+72=130']
Exploring Operation: 95-53=42, Resulting Numbers: [130, 42]
Generated Node #3: [130, 42] from Operation: 95-53=42
Current State: 88:[130, 42], Operations: ['58+72=130', '95-53=42']
Exploring Operation: 130-42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[58, 72, 95, 53], Operations: []
Exploring Operation: 72-53=19, Resulting Numbers: [58, 95, 19]
Generated Node #0,0: 88:[58, 95, 19] Operation: 72-53=19
Exploring Operation: 95-72=23, Resulting Numbers: [58, 53, 23]
Generated Node #0,1: 88:[58, 53, 23] Operation: 95-72=23
Exploring Operation: 72-58=14, Resulting Numbers: [95, 53, 14]
Generated Node #0,2: 88:[95, 53, 14] Operation: 72-58=14
Exploring Operation: 95-58=37, Resulting Numbers: [72, 53, 37]
Generated Node #0,3: 88:[72, 53, 37] Operation: 95-58=37
Exploring Operation: 58-53=5, Resulting Numbers: [72, 95, 5]
Generated Node #0,4: 88:[72, 95, 5] Operation: 58-53=5
Moving to Node #0,2
Current State: 88:[95, 53, 14], Operations: ['72-58=14']
Exploring Operation: 95-14=81, Resulting Numbers: [53, 81]
Generated Node #0,2,0: 88:[53, 81] Operation: 95-14=81
Exploring Operation: 53+14=67, Resulting Numbers: [95, 67]
Generated Node #0,2,1: 88:[95, 67] Operation: 53+14=67
Exploring Operation: 95+14=109, Resulting Numbers: [53, 109]
Generated Node #0,2,2: 88:[53, 109] Operation: 95+14=109
Exploring Operation: 53-14=39, Resulting Numbers: [95, 39]
Generated Node #0,2,3: 88:[95, 39] Operation: 53-14=39
Exploring Operation: 95-53=42, Resulting Numbers: [14, 42]
Generated Node #0,2,4: 88:[14, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 88:[58, 53, 23], Operations: ['95-72=23']
Exploring Operation: 58-53=5, Resulting Numbers: [23, 5]
Generated Node #0,1,0: 88:[23, 5] Operation: 58-53=5
Exploring Operation: 53-23=30, Resulting Numbers: [58, 30]
Generated Node #0,1,1: 88:[58, 30] Operation: 53-23=30
Exploring Operation: 58+23=81, Resulting Numbers: [53, 81]
Generated Node #0,1,2: 88:[53, 81] Operation: 58+23=81
Exploring Operation: 58+53=111, Resulting Numbers: [23, 111]
Generated Node #0,1,3: 88:[23, 111] Operation: 58+53=111
Exploring Operation: 58-23=35, Resulting Numbers: [53, 35]
Generated Node #0,1,4: 88:[53, 35] Operation: 58-23=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[23, 5], Operations: ['95-72=23', '58-53=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,88 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,88 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 #0,1,2
Current State: 88:[53, 81], Operations: ['95-72=23', '58+23=81']
Exploring Operation: 53*81=4293, Resulting Numbers: [4293]
4293,88 unequal: No Solution
Exploring Operation: 53+81=134, Resulting Numbers: [134]
134,88 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,88 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 #0,1,4
Current State: 88:[53, 35], Operations: ['95-72=23', '58-23=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[58, 72, 95, 53], Operations: []
Exploring Operation: 95-72=23, Resulting Numbers: [58, 53, 23]
Generated Node #0,1: 88:[58, 53, 23] Operation: 95-72=23
Moving to Node #0,1
Current State: 88:[58, 53, 23], Operations: ['95-72=23']
Exploring Operation: 58-23=35, Resulting Numbers: [53, 35]
Generated Node #0,1,4: 88:[53, 35] Operation: 58-23=35
Moving to Node #0,1,4
Current State: 88:[53, 35], Operations: ['95-72=23', '58-23=35']
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
1,
60,
2,
46
] | 17 | [
"1+60=61",
"46-2=44",
"61-44=17"
] | Current State: 17:[1, 60, 2, 46], Operations: []
Exploring Operation: 1+60=61, Resulting Numbers: [2, 46, 61]
Generated Node #2: [2, 46, 61] from Operation: 1+60=61
Current State: 17:[2, 46, 61], Operations: ['1+60=61']
Exploring Operation: 46-2=44, Resulting Numbers: [61, 44]
Generated Node #3: [61, 44] from Operation: 46-2=44
Current State: 17:[61, 44], Operations: ['1+60=61', '46-2=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[1, 60, 2, 46], Operations: []
Exploring Operation: 46/2=23, Resulting Numbers: [1, 60, 23]
Generated Node #0,0: 17:[1, 60, 23] Operation: 46/2=23
Exploring Operation: 60/2=30, Resulting Numbers: [1, 46, 30]
Generated Node #0,1: 17:[1, 46, 30] Operation: 60/2=30
Exploring Operation: 60-46=14, Resulting Numbers: [1, 2, 14]
Generated Node #0,2: 17:[1, 2, 14] Operation: 60-46=14
Exploring Operation: 60-1=59, Resulting Numbers: [2, 46, 59]
Generated Node #0,3: 17:[2, 46, 59] Operation: 60-1=59
Moving to Node #0,2
Current State: 17:[1, 2, 14], Operations: ['60-46=14']
Exploring Operation: 2+14=16, Resulting Numbers: [1, 16]
Generated Node #0,2,0: 17:[1, 16] Operation: 2+14=16
Exploring Operation: 1*2=2, Resulting Numbers: [14, 2]
Generated Node #0,2,1: 17:[14, 2] Operation: 1*2=2
Exploring Operation: 1+14=15, Resulting Numbers: [2, 15]
Generated Node #0,2,2: 17:[2, 15] Operation: 1+14=15
Exploring Operation: 1+2=3, Resulting Numbers: [14, 3]
Generated Node #0,2,3: 17:[14, 3] Operation: 1+2=3
Moving to Node #0,1
Current State: 17:[1, 46, 30], Operations: ['60/2=30']
Exploring Operation: 1*46=46, Resulting Numbers: [30, 46]
Generated Node #0,1,0: 17:[30, 46] Operation: 1*46=46
Exploring Operation: 30-1=29, Resulting Numbers: [46, 29]
Generated Node #0,1,1: 17:[46, 29] Operation: 30-1=29
Exploring Operation: 46-1=45, Resulting Numbers: [30, 45]
Generated Node #0,1,2: 17:[30, 45] Operation: 46-1=45
Exploring Operation: 46-30=16, Resulting Numbers: [1, 16]
Generated Node #0,1,3: 17:[1, 16] Operation: 46-30=16
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[1, 16], Operations: ['60/2=30', '46-30=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[1, 60, 2, 46], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [1, 46, 30]
Generated Node #0,1: 17:[1, 46, 30] Operation: 60/2=30
Moving to Node #0,1
Current State: 17:[1, 46, 30], Operations: ['60/2=30']
Exploring Operation: 46-30=16, Resulting Numbers: [1, 16]
Generated Node #0,1,3: 17:[1, 16] Operation: 46-30=16
Moving to Node #0,1,3
Current State: 17:[1, 16], Operations: ['60/2=30', '46-30=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
77,
48,
54,
63
] | 21 | [
"48*63=3024",
"3024/54=56",
"77-56=21"
] | Current State: 21:[77, 48, 54, 63], Operations: []
Exploring Operation: 48*63=3024, Resulting Numbers: [77, 54, 3024]
Generated Node #2: [77, 54, 3024] from Operation: 48*63=3024
Current State: 21:[77, 54, 3024], Operations: ['48*63=3024']
Exploring Operation: 3024/54=56, Resulting Numbers: [77, 56]
Generated Node #3: [77, 56] from Operation: 3024/54=56
Current State: 21:[77, 56], Operations: ['48*63=3024', '3024/54=56']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[77, 48, 54, 63], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [48, 63, 23]
Generated Node #0,0: 21:[48, 63, 23] Operation: 77-54=23
Exploring Operation: 77-48=29, Resulting Numbers: [54, 63, 29]
Generated Node #0,1: 21:[54, 63, 29] Operation: 77-48=29
Exploring Operation: 77-63=14, Resulting Numbers: [48, 54, 14]
Generated Node #0,2: 21:[48, 54, 14] Operation: 77-63=14
Exploring Operation: 63-54=9, Resulting Numbers: [77, 48, 9]
Generated Node #0,3: 21:[77, 48, 9] Operation: 63-54=9
Moving to Node #0,2
Current State: 21:[48, 54, 14], Operations: ['77-63=14']
Exploring Operation: 54-48=6, Resulting Numbers: [14, 6]
Generated Node #0,2,0: 21:[14, 6] Operation: 54-48=6
Exploring Operation: 48+14=62, Resulting Numbers: [54, 62]
Generated Node #0,2,1: 21:[54, 62] Operation: 48+14=62
Exploring Operation: 54-14=40, Resulting Numbers: [48, 40]
Generated Node #0,2,2: 21:[48, 40] Operation: 54-14=40
Exploring Operation: 48-14=34, Resulting Numbers: [54, 34]
Generated Node #0,2,3: 21:[54, 34] Operation: 48-14=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[14, 6], Operations: ['77-63=14', '54-48=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,21 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 #0,2,2
Current State: 21:[48, 40], Operations: ['77-63=14', '54-14=40']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,21 unequal: No Solution
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,21 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 #0,2,3
Current State: 21:[54, 34], Operations: ['77-63=14', '48-14=34']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 54*34=1836, Resulting Numbers: [1836]
1836,21 unequal: No Solution
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,21 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 #0,2,1
Current State: 21:[54, 62], Operations: ['77-63=14', '48+14=62']
Exploring Operation: 54*62=3348, Resulting Numbers: [3348]
3348,21 unequal: No Solution
Exploring Operation: 54+62=116, Resulting Numbers: [116]
116,21 unequal: No Solution
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 21:[48, 63, 23], Operations: ['77-54=23']
Exploring Operation: 63-48=15, Resulting Numbers: [23, 15]
Generated Node #0,0,0: 21:[23, 15] Operation: 63-48=15
Exploring Operation: 48+63=111, Resulting Numbers: [23, 111]
Generated Node #0,0,1: 21:[23, 111] Operation: 48+63=111
Exploring Operation: 63-23=40, Resulting Numbers: [48, 40]
Generated Node #0,0,2: 21:[48, 40] Operation: 63-23=40
Exploring Operation: 48-23=25, Resulting Numbers: [63, 25]
Generated Node #0,0,3: 21:[63, 25] Operation: 48-23=25
Moving to Node #0,1
Current State: 21:[54, 63, 29], Operations: ['77-48=29']
Exploring Operation: 54+63=117, Resulting Numbers: [29, 117]
Generated Node #0,1,0: 21:[29, 117] Operation: 54+63=117
Exploring Operation: 63-54=9, Resulting Numbers: [29, 9]
Generated Node #0,1,1: 21:[29, 9] Operation: 63-54=9
Exploring Operation: 63-29=34, Resulting Numbers: [54, 34]
Generated Node #0,1,2: 21:[54, 34] Operation: 63-29=34
Exploring Operation: 54-29=25, Resulting Numbers: [63, 25]
Generated Node #0,1,3: 21:[63, 25] Operation: 54-29=25
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[29, 9], Operations: ['77-48=29', '63-54=9']
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,21 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[54, 34], Operations: ['77-48=29', '63-29=34']
Exploring Operation: 54*34=1836, Resulting Numbers: [1836]
1836,21 unequal: No Solution
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 21:[63, 25], Operations: ['77-48=29', '54-29=25']
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,21 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[29, 117], Operations: ['77-48=29', '54+63=117']
Exploring Operation: 117-29=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 29+117=146, Resulting Numbers: [146]
146,21 unequal: No Solution
Exploring Operation: 29*117=3393, Resulting Numbers: [3393]
3393,21 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: 21:[77, 48, 9], Operations: ['63-54=9']
Exploring Operation: 77+9=86, Resulting Numbers: [48, 86]
Generated Node #0,3,0: 21:[48, 86] Operation: 77+9=86
Exploring Operation: 77-48=29, Resulting Numbers: [9, 29]
Generated Node #0,3,1: 21:[9, 29] Operation: 77-48=29
Exploring Operation: 48-9=39, Resulting Numbers: [77, 39]
Generated Node #0,3,2: 21:[77, 39] Operation: 48-9=39
Exploring Operation: 77-9=68, Resulting Numbers: [48, 68]
Generated Node #0,3,3: 21:[48, 68] Operation: 77-9=68
Moving to Node #0,0,0
Current State: 21:[23, 15], Operations: ['77-54=23', '63-48=15']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,21 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Moving to Node #0,3,1
Current State: 21:[9, 29], Operations: ['63-54=9', '77-48=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 9*29=261, Resulting Numbers: [261]
261,21 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[63, 25], Operations: ['77-54=23', '48-23=25']
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,21 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[48, 40], Operations: ['77-54=23', '63-23=40']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[77, 39], Operations: ['63-54=9', '48-9=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 77+39=116, Resulting Numbers: [116]
116,21 unequal: No Solution
Exploring Operation: 77*39=3003, Resulting Numbers: [3003]
3003,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[48, 68], Operations: ['63-54=9', '77-9=68']
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,21 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[23, 111], Operations: ['77-54=23', '48+63=111']
Exploring Operation: 23*111=2553, Resulting Numbers: [2553]
2553,21 unequal: No Solution
Exploring Operation: 23+111=134, Resulting Numbers: [134]
134,21 unequal: No Solution
Exploring Operation: 111-23=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Moving to Node #0,3,0
Current State: 21:[48, 86], Operations: ['63-54=9', '77+9=86']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 48+86=134, Resulting Numbers: [134]
134,21 unequal: No Solution
Exploring Operation: 48*86=4128, Resulting Numbers: [4128]
4128,21 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
93,
4,
95,
70
] | 62 | [
"95-93=2",
"4*2=8",
"70-8=62"
] | Current State: 62:[93, 4, 95, 70], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [4, 70, 2]
Generated Node #2: [4, 70, 2] from Operation: 95-93=2
Current State: 62:[4, 70, 2], Operations: ['95-93=2']
Exploring Operation: 4*2=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 4*2=8
Current State: 62:[70, 8], Operations: ['95-93=2', '4*2=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[93, 4, 95, 70], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [4, 95, 23]
Generated Node #0,0: 62:[4, 95, 23] Operation: 93-70=23
Exploring Operation: 95-93=2, Resulting Numbers: [4, 70, 2]
Generated Node #0,1: 62:[4, 70, 2] Operation: 95-93=2
Exploring Operation: 95-70=25, Resulting Numbers: [93, 4, 25]
Generated Node #0,2: 62:[93, 4, 25] Operation: 95-70=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[4, 70, 2], Operations: ['95-93=2']
Exploring Operation: 4-2=2, Resulting Numbers: [70, 2]
Generated Node #0,1,0: 62:[70, 2] Operation: 4-2=2
Exploring Operation: 70/2=35, Resulting Numbers: [4, 35]
Generated Node #0,1,1: 62:[4, 35] Operation: 70/2=35
Exploring Operation: 70-4=66, Resulting Numbers: [2, 66]
Generated Node #0,1,2: 62:[2, 66] Operation: 70-4=66
Moving to Node #0,1,2
Current State: 62:[2, 66], Operations: ['95-93=2', '70-4=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[4, 35], Operations: ['95-93=2', '70/2=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[70, 2], Operations: ['95-93=2', '4-2=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,62 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
Current State: 62:[93, 4, 25], Operations: ['95-70=25']
Exploring Operation: 4+25=29, Resulting Numbers: [93, 29]
Generated Node #0,2,0: 62:[93, 29] Operation: 4+25=29
Exploring Operation: 93-25=68, Resulting Numbers: [4, 68]
Generated Node #0,2,1: 62:[4, 68] Operation: 93-25=68
Exploring Operation: 93-4=89, Resulting Numbers: [25, 89]
Generated Node #0,2,2: 62:[25, 89] Operation: 93-4=89
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[4, 68], Operations: ['95-70=25', '93-25=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,62 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,62 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[93, 29], Operations: ['95-70=25', '4+25=29']
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,62 unequal: No Solution
Exploring Operation: 93*29=2697, Resulting Numbers: [2697]
2697,62 unequal: No Solution
Exploring Operation: 93+29=122, Resulting Numbers: [122]
122,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[25, 89], Operations: ['95-70=25', '93-4=89']
Exploring Operation: 25*89=2225, Resulting Numbers: [2225]
2225,62 unequal: No Solution
Exploring Operation: 89-25=64, Resulting Numbers: [64]
64,62 unequal: No Solution
Exploring Operation: 25+89=114, Resulting Numbers: [114]
114,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[4, 95, 23], Operations: ['93-70=23']
Exploring Operation: 95-23=72, Resulting Numbers: [4, 72]
Generated Node #0,0,0: 62:[4, 72] Operation: 95-23=72
Exploring Operation: 95-4=91, Resulting Numbers: [23, 91]
Generated Node #0,0,1: 62:[23, 91] Operation: 95-4=91
Exploring Operation: 4+23=27, Resulting Numbers: [95, 27]
Generated Node #0,0,2: 62:[95, 27] Operation: 4+23=27
Moving to Node #0,0,0
Current State: 62:[4, 72], Operations: ['93-70=23', '95-23=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[23, 91], Operations: ['93-70=23', '95-4=91']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 23*91=2093, Resulting Numbers: [2093]
2093,62 unequal: No Solution
Exploring Operation: 23+91=114, Resulting Numbers: [114]
114,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[95, 27], Operations: ['93-70=23', '4+23=27']
Exploring Operation: 95*27=2565, Resulting Numbers: [2565]
2565,62 unequal: No Solution
Exploring Operation: 95+27=122, Resulting Numbers: [122]
122,62 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
24,
30,
51,
26
] | 57 | [
"30-26=4",
"24/4=6",
"51+6=57"
] | Current State: 57:[24, 30, 51, 26], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [24, 51, 4]
Generated Node #2: [24, 51, 4] from Operation: 30-26=4
Current State: 57:[24, 51, 4], Operations: ['30-26=4']
Exploring Operation: 24/4=6, Resulting Numbers: [51, 6]
Generated Node #3: [51, 6] from Operation: 24/4=6
Current State: 57:[51, 6], Operations: ['30-26=4', '24/4=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[24, 30, 51, 26], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [24, 51, 4]
Generated Node #0,0: 57:[24, 51, 4] Operation: 30-26=4
Exploring Operation: 51-30=21, Resulting Numbers: [24, 26, 21]
Generated Node #0,1: 57:[24, 26, 21] Operation: 51-30=21
Exploring Operation: 30+26=56, Resulting Numbers: [24, 51, 56]
Generated Node #0,2: 57:[24, 51, 56] Operation: 30+26=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[24, 51, 4], Operations: ['30-26=4']
Exploring Operation: 51+4=55, Resulting Numbers: [24, 55]
Generated Node #0,0,0: 57:[24, 55] Operation: 51+4=55
Exploring Operation: 24-4=20, Resulting Numbers: [51, 20]
Generated Node #0,0,1: 57:[51, 20] Operation: 24-4=20
Exploring Operation: 51-24=27, Resulting Numbers: [4, 27]
Generated Node #0,0,2: 57:[4, 27] Operation: 51-24=27
Moving to Node #0,0,0
Current State: 57:[24, 55], Operations: ['30-26=4', '51+4=55']
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,57 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[51, 20], Operations: ['30-26=4', '24-4=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,57 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[4, 27], Operations: ['30-26=4', '51-24=27']
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,57 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,57 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 #0,2
Current State: 57:[24, 51, 56], Operations: ['30+26=56']
Exploring Operation: 51-24=27, Resulting Numbers: [56, 27]
Generated Node #0,2,0: 57:[56, 27] Operation: 51-24=27
Exploring Operation: 56-51=5, Resulting Numbers: [24, 5]
Generated Node #0,2,1: 57:[24, 5] Operation: 56-51=5
Exploring Operation: 24+51=75, Resulting Numbers: [56, 75]
Generated Node #0,2,2: 57:[56, 75] Operation: 24+51=75
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 57:[24, 5], Operations: ['30+26=56', '56-51=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,57 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 57:[56, 27], Operations: ['30+26=56', '51-24=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Exploring Operation: 56*27=1512, Resulting Numbers: [1512]
1512,57 unequal: No Solution
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 57:[56, 75], Operations: ['30+26=56', '24+51=75']
Exploring Operation: 56+75=131, Resulting Numbers: [131]
131,57 unequal: No Solution
Exploring Operation: 56*75=4200, Resulting Numbers: [4200]
4200,57 unequal: No Solution
Exploring Operation: 75-56=19, Resulting Numbers: [19]
19,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[24, 26, 21], Operations: ['51-30=21']
Exploring Operation: 26-24=2, Resulting Numbers: [21, 2]
Generated Node #0,1,0: 57:[21, 2] Operation: 26-24=2
Exploring Operation: 26-21=5, Resulting Numbers: [24, 5]
Generated Node #0,1,1: 57:[24, 5] Operation: 26-21=5
Exploring Operation: 24-21=3, Resulting Numbers: [26, 3]
Generated Node #0,1,2: 57:[26, 3] Operation: 24-21=3
Moving to Node #0,1,0
Current State: 57:[21, 2], Operations: ['51-30=21', '26-24=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,57 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[24, 5], Operations: ['51-30=21', '26-21=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,57 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[26, 3], Operations: ['51-30=21', '24-21=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
48,
85,
2,
27
] | 80 | [
"48+85=133",
"27+133=160",
"160/2=80"
] | Current State: 80:[48, 85, 2, 27], Operations: []
Exploring Operation: 48+85=133, Resulting Numbers: [2, 27, 133]
Generated Node #2: [2, 27, 133] from Operation: 48+85=133
Current State: 80:[2, 27, 133], Operations: ['48+85=133']
Exploring Operation: 27+133=160, Resulting Numbers: [2, 160]
Generated Node #3: [2, 160] from Operation: 27+133=160
Current State: 80:[2, 160], Operations: ['48+85=133', '27+133=160']
Exploring Operation: 160/2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[48, 85, 2, 27], Operations: []
Exploring Operation: 48-2=46, Resulting Numbers: [85, 27, 46]
Generated Node #0,0: 80:[85, 27, 46] Operation: 48-2=46
Exploring Operation: 85-48=37, Resulting Numbers: [2, 27, 37]
Generated Node #0,1: 80:[2, 27, 37] Operation: 85-48=37
Exploring Operation: 48-27=21, Resulting Numbers: [85, 2, 21]
Generated Node #0,2: 80:[85, 2, 21] Operation: 48-27=21
Exploring Operation: 48/2=24, Resulting Numbers: [85, 27, 24]
Generated Node #0,3: 80:[85, 27, 24] Operation: 48/2=24
Exploring Operation: 48+27=75, Resulting Numbers: [85, 2, 75]
Generated Node #0,4: 80:[85, 2, 75] Operation: 48+27=75
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[85, 2, 21], Operations: ['48-27=21']
Exploring Operation: 85+2=87, Resulting Numbers: [21, 87]
Generated Node #0,2,0: 80:[21, 87] Operation: 85+2=87
Exploring Operation: 2*21=42, Resulting Numbers: [85, 42]
Generated Node #0,2,1: 80:[85, 42] Operation: 2*21=42
Exploring Operation: 21-2=19, Resulting Numbers: [85, 19]
Generated Node #0,2,2: 80:[85, 19] Operation: 21-2=19
Exploring Operation: 2+21=23, Resulting Numbers: [85, 23]
Generated Node #0,2,3: 80:[85, 23] Operation: 2+21=23
Exploring Operation: 85-2=83, Resulting Numbers: [21, 83]
Generated Node #0,2,4: 80:[21, 83] Operation: 85-2=83
Moving to Node #0,2,4
Current State: 80:[21, 83], Operations: ['48-27=21', '85-2=83']
Exploring Operation: 21*83=1743, Resulting Numbers: [1743]
1743,80 unequal: No Solution
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 21+83=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[85, 19], Operations: ['48-27=21', '21-2=19']
Exploring Operation: 85+19=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 85*19=1615, Resulting Numbers: [1615]
1615,80 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[85, 42], Operations: ['48-27=21', '2*21=42']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 85*42=3570, Resulting Numbers: [3570]
3570,80 unequal: No Solution
Exploring Operation: 85+42=127, Resulting Numbers: [127]
127,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[21, 87], Operations: ['48-27=21', '85+2=87']
Exploring Operation: 21*87=1827, Resulting Numbers: [1827]
1827,80 unequal: No Solution
Exploring Operation: 21+87=108, Resulting Numbers: [108]
108,80 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[85, 23], Operations: ['48-27=21', '2+21=23']
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,80 unequal: No Solution
Exploring Operation: 85*23=1955, Resulting Numbers: [1955]
1955,80 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[2, 27, 37], Operations: ['85-48=37']
Exploring Operation: 2+37=39, Resulting Numbers: [27, 39]
Generated Node #0,1,0: 80:[27, 39] Operation: 2+37=39
Exploring Operation: 2+27=29, Resulting Numbers: [37, 29]
Generated Node #0,1,1: 80:[37, 29] Operation: 2+27=29
Exploring Operation: 37-27=10, Resulting Numbers: [2, 10]
Generated Node #0,1,2: 80:[2, 10] Operation: 37-27=10
Exploring Operation: 37-2=35, Resulting Numbers: [27, 35]
Generated Node #0,1,3: 80:[27, 35] Operation: 37-2=35
Exploring Operation: 27-2=25, Resulting Numbers: [37, 25]
Generated Node #0,1,4: 80:[37, 25] Operation: 27-2=25
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 80:[2, 10], Operations: ['85-48=37', '37-27=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,80 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:[27, 39], Operations: ['85-48=37', '2+37=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,80 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:[37, 25], Operations: ['85-48=37', '27-2=25']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 37*25=925, Resulting Numbers: [925]
925,80 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:[37, 29], Operations: ['85-48=37', '2+27=29']
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,80 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 80:[27, 35], Operations: ['85-48=37', '37-2=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,80 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,80 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 #0,4
Current State: 80:[85, 2, 75], Operations: ['48+27=75']
Exploring Operation: 2+75=77, Resulting Numbers: [85, 77]
Generated Node #0,4,0: 80:[85, 77] Operation: 2+75=77
Exploring Operation: 85+2=87, Resulting Numbers: [75, 87]
Generated Node #0,4,1: 80:[75, 87] Operation: 85+2=87
Exploring Operation: 75-2=73, Resulting Numbers: [85, 73]
Generated Node #0,4,2: 80:[85, 73] Operation: 75-2=73
Exploring Operation: 85-2=83, Resulting Numbers: [75, 83]
Generated Node #0,4,3: 80:[75, 83] Operation: 85-2=83
Exploring Operation: 85-75=10, Resulting Numbers: [2, 10]
Generated Node #0,4,4: 80:[2, 10] Operation: 85-75=10
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 80:[2, 10], Operations: ['48+27=75', '85-75=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 80:[85, 77], Operations: ['48+27=75', '2+75=77']
Exploring Operation: 85-77=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 85*77=6545, Resulting Numbers: [6545]
6545,80 unequal: No Solution
Exploring Operation: 85+77=162, Resulting Numbers: [162]
162,80 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 #0,4,3
Current State: 80:[75, 83], Operations: ['48+27=75', '85-2=83']
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 75*83=6225, Resulting Numbers: [6225]
6225,80 unequal: No Solution
Exploring Operation: 75+83=158, Resulting Numbers: [158]
158,80 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 #0,4,1
Current State: 80:[75, 87], Operations: ['48+27=75', '85+2=87']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 75*87=6525, Resulting Numbers: [6525]
6525,80 unequal: No Solution
Exploring Operation: 75+87=162, Resulting Numbers: [162]
162,80 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 #0,4,2
Current State: 80:[85, 73], Operations: ['48+27=75', '75-2=73']
Exploring Operation: 85+73=158, Resulting Numbers: [158]
158,80 unequal: No Solution
Exploring Operation: 85-73=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 85*73=6205, Resulting Numbers: [6205]
6205,80 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:[85, 27, 24], Operations: ['48/2=24']
Exploring Operation: 27+24=51, Resulting Numbers: [85, 51]
Generated Node #0,3,0: 80:[85, 51] Operation: 27+24=51
Exploring Operation: 27-24=3, Resulting Numbers: [85, 3]
Generated Node #0,3,1: 80:[85, 3] Operation: 27-24=3
Exploring Operation: 85+27=112, Resulting Numbers: [24, 112]
Generated Node #0,3,2: 80:[24, 112] Operation: 85+27=112
Exploring Operation: 85-24=61, Resulting Numbers: [27, 61]
Generated Node #0,3,3: 80:[27, 61] Operation: 85-24=61
Exploring Operation: 85-27=58, Resulting Numbers: [24, 58]
Generated Node #0,3,4: 80:[24, 58] Operation: 85-27=58
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 80:[85, 3], Operations: ['48/2=24', '27-24=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,80 unequal: No Solution
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,80 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,80 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 #0,3,0
Current State: 80:[85, 51], Operations: ['48/2=24', '27+24=51']
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 85+51=136, Resulting Numbers: [136]
136,80 unequal: No Solution
Exploring Operation: 85*51=4335, Resulting Numbers: [4335]
4335,80 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 #0,3,4
Current State: 80:[24, 58], Operations: ['48/2=24', '85-27=58']
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,80 unequal: No Solution
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 24*58=1392, Resulting Numbers: [1392]
1392,80 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 #0,3,3
Current State: 80:[27, 61], Operations: ['48/2=24', '85-24=61']
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,80 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,80 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 #0,3,2
Current State: 80:[24, 112], Operations: ['48/2=24', '85+27=112']
Exploring Operation: 24*112=2688, Resulting Numbers: [2688]
2688,80 unequal: No Solution
Exploring Operation: 24+112=136, Resulting Numbers: [136]
136,80 unequal: No Solution
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,80 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 #0,0
Current State: 80:[85, 27, 46], Operations: ['48-2=46']
Exploring Operation: 85-27=58, Resulting Numbers: [46, 58]
Generated Node #0,0,0: 80:[46, 58] Operation: 85-27=58
Exploring Operation: 85-46=39, Resulting Numbers: [27, 39]
Generated Node #0,0,1: 80:[27, 39] Operation: 85-46=39
Exploring Operation: 85+27=112, Resulting Numbers: [46, 112]
Generated Node #0,0,2: 80:[46, 112] Operation: 85+27=112
Exploring Operation: 27+46=73, Resulting Numbers: [85, 73]
Generated Node #0,0,3: 80:[85, 73] Operation: 27+46=73
Exploring Operation: 46-27=19, Resulting Numbers: [85, 19]
Generated Node #0,0,4: 80:[85, 19] Operation: 46-27=19
Moving to Node #0,0,4
Current State: 80:[85, 19], Operations: ['48-2=46', '46-27=19']
Exploring Operation: 85*19=1615, Resulting Numbers: [1615]
1615,80 unequal: No Solution
Exploring Operation: 85+19=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[27, 39], Operations: ['48-2=46', '85-46=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,80 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[85, 73], Operations: ['48-2=46', '27+46=73']
Exploring Operation: 85+73=158, Resulting Numbers: [158]
158,80 unequal: No Solution
Exploring Operation: 85*73=6205, Resulting Numbers: [6205]
6205,80 unequal: No Solution
Exploring Operation: 85-73=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[46, 58], Operations: ['48-2=46', '85-27=58']
Exploring Operation: 46*58=2668, Resulting Numbers: [2668]
2668,80 unequal: No Solution
Exploring Operation: 46+58=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[46, 112], Operations: ['48-2=46', '85+27=112']
Exploring Operation: 46*112=5152, Resulting Numbers: [5152]
5152,80 unequal: No Solution
Exploring Operation: 112-46=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 46+112=158, Resulting Numbers: [158]
158,80 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 |
[
9,
24,
97,
30
] | 100 | [
"9+24=33",
"97-30=67",
"33+67=100"
] | Current State: 100:[9, 24, 97, 30], Operations: []
Exploring Operation: 9+24=33, Resulting Numbers: [97, 30, 33]
Generated Node #2: [97, 30, 33] from Operation: 9+24=33
Current State: 100:[97, 30, 33], Operations: ['9+24=33']
Exploring Operation: 97-30=67, Resulting Numbers: [33, 67]
Generated Node #3: [33, 67] from Operation: 97-30=67
Current State: 100:[33, 67], Operations: ['9+24=33', '97-30=67']
Exploring Operation: 33+67=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[9, 24, 97, 30], Operations: []
Exploring Operation: 30-9=21, Resulting Numbers: [24, 97, 21]
Generated Node #0,0: 100:[24, 97, 21] Operation: 30-9=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[24, 97, 21], Operations: ['30-9=21']
Exploring Operation: 24-21=3, Resulting Numbers: [97, 3]
Generated Node #0,0,0: 100:[97, 3] Operation: 24-21=3
Moving to Node #0,0,0
Current State: 100:[97, 3], Operations: ['30-9=21', '24-21=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[9, 24, 97, 30], Operations: []
Exploring Operation: 30-9=21, Resulting Numbers: [24, 97, 21]
Generated Node #0,0: 100:[24, 97, 21] Operation: 30-9=21
Moving to Node #0,0
Current State: 100:[24, 97, 21], Operations: ['30-9=21']
Exploring Operation: 24-21=3, Resulting Numbers: [97, 3]
Generated Node #0,0,0: 100:[97, 3] Operation: 24-21=3
Moving to Node #0,0,0
Current State: 100:[97, 3], Operations: ['30-9=21', '24-21=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
5,
64,
25,
3
] | 32 | [
"25/5=5",
"5-3=2",
"64/2=32"
] | Current State: 32:[5, 64, 25, 3], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [64, 3, 5]
Generated Node #2: [64, 3, 5] from Operation: 25/5=5
Current State: 32:[64, 3, 5], Operations: ['25/5=5']
Exploring Operation: 5-3=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 5-3=2
Current State: 32:[64, 2], Operations: ['25/5=5', '5-3=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[5, 64, 25, 3], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [5, 3, 39]
Generated Node #0,0: 32:[5, 3, 39] Operation: 64-25=39
Exploring Operation: 25/5=5, Resulting Numbers: [64, 3, 5]
Generated Node #0,1: 32:[64, 3, 5] Operation: 25/5=5
Moving to Node #0,0
Current State: 32:[5, 3, 39], Operations: ['64-25=39']
Exploring Operation: 39/3=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 32:[5, 13] Operation: 39/3=13
Exploring Operation: 39-5=34, Resulting Numbers: [3, 34]
Generated Node #0,0,1: 32:[3, 34] Operation: 39-5=34
Moving to Node #0,1
Current State: 32:[64, 3, 5], Operations: ['25/5=5']
Exploring Operation: 64-5=59, Resulting Numbers: [3, 59]
Generated Node #0,1,0: 32:[3, 59] Operation: 64-5=59
Exploring Operation: 64-3=61, Resulting Numbers: [5, 61]
Generated Node #0,1,1: 32:[5, 61] Operation: 64-3=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[3, 59], Operations: ['25/5=5', '64-5=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[5, 61], Operations: ['25/5=5', '64-3=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,32 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: 32:[3, 34], Operations: ['64-25=39', '39-5=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,32 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[5, 13], Operations: ['64-25=39', '39/3=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
40,
6,
57,
44
] | 43 | [
"40+44=84",
"84/6=14",
"57-14=43"
] | Current State: 43:[40, 6, 57, 44], Operations: []
Exploring Operation: 40+44=84, Resulting Numbers: [6, 57, 84]
Generated Node #2: [6, 57, 84] from Operation: 40+44=84
Current State: 43:[6, 57, 84], Operations: ['40+44=84']
Exploring Operation: 84/6=14, Resulting Numbers: [57, 14]
Generated Node #3: [57, 14] from Operation: 84/6=14
Current State: 43:[57, 14], Operations: ['40+44=84', '84/6=14']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[40, 6, 57, 44], Operations: []
Exploring Operation: 44-6=38, Resulting Numbers: [40, 57, 38]
Generated Node #0,0: 43:[40, 57, 38] Operation: 44-6=38
Exploring Operation: 6+57=63, Resulting Numbers: [40, 44, 63]
Generated Node #0,1: 43:[40, 44, 63] Operation: 6+57=63
Exploring Operation: 57-6=51, Resulting Numbers: [40, 44, 51]
Generated Node #0,2: 43:[40, 44, 51] Operation: 57-6=51
Exploring Operation: 40-6=34, Resulting Numbers: [57, 44, 34]
Generated Node #0,3: 43:[57, 44, 34] Operation: 40-6=34
Exploring Operation: 40+6=46, Resulting Numbers: [57, 44, 46]
Generated Node #0,4: 43:[57, 44, 46] Operation: 40+6=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[40, 44, 51], Operations: ['57-6=51']
Exploring Operation: 51-40=11, Resulting Numbers: [44, 11]
Generated Node #0,2,0: 43:[44, 11] Operation: 51-40=11
Exploring Operation: 51-44=7, Resulting Numbers: [40, 7]
Generated Node #0,2,1: 43:[40, 7] Operation: 51-44=7
Exploring Operation: 40+51=91, Resulting Numbers: [44, 91]
Generated Node #0,2,2: 43:[44, 91] Operation: 40+51=91
Exploring Operation: 40+44=84, Resulting Numbers: [51, 84]
Generated Node #0,2,3: 43:[51, 84] Operation: 40+44=84
Exploring Operation: 44-40=4, Resulting Numbers: [51, 4]
Generated Node #0,2,4: 43:[51, 4] Operation: 44-40=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 43:[44, 11], Operations: ['57-6=51', '51-40=11']
Exploring Operation: 44*11=484, Resulting Numbers: [484]
484,43 unequal: No Solution
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,43 unequal: No Solution
No 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: 43:[40, 7], Operations: ['57-6=51', '51-44=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,43 unequal: No Solution
No 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: 43:[51, 4], Operations: ['57-6=51', '44-40=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,43 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,43 unequal: No Solution
No 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: 43:[44, 91], Operations: ['57-6=51', '40+51=91']
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 44*91=4004, Resulting Numbers: [4004]
4004,43 unequal: No Solution
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,43 unequal: No Solution
No 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: 43:[51, 84], Operations: ['57-6=51', '40+44=84']
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 51+84=135, Resulting Numbers: [135]
135,43 unequal: No Solution
Exploring Operation: 51*84=4284, Resulting Numbers: [4284]
4284,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 43:[57, 44, 46], Operations: ['40+6=46']
Exploring Operation: 57-44=13, Resulting Numbers: [46, 13]
Generated Node #0,4,0: 43:[46, 13] Operation: 57-44=13
Exploring Operation: 57+46=103, Resulting Numbers: [44, 103]
Generated Node #0,4,1: 43:[44, 103] Operation: 57+46=103
Exploring Operation: 57-46=11, Resulting Numbers: [44, 11]
Generated Node #0,4,2: 43:[44, 11] Operation: 57-46=11
Exploring Operation: 57+44=101, Resulting Numbers: [46, 101]
Generated Node #0,4,3: 43:[46, 101] Operation: 57+44=101
Exploring Operation: 46-44=2, Resulting Numbers: [57, 2]
Generated Node #0,4,4: 43:[57, 2] Operation: 46-44=2
Moving to Node #0,4,0
Current State: 43:[46, 13], Operations: ['40+6=46', '57-44=13']
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,43 unequal: No Solution
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Moving to Node #0,4,2
Current State: 43:[44, 11], Operations: ['40+6=46', '57-46=11']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 44*11=484, Resulting Numbers: [484]
484,43 unequal: No Solution
Moving to Node #0,4,4
Current State: 43:[57, 2], Operations: ['40+6=46', '46-44=2']
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Moving to Node #0,4,1
Current State: 43:[44, 103], Operations: ['40+6=46', '57+46=103']
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,43 unequal: No Solution
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,43 unequal: No Solution
Moving to Node #0,4,3
Current State: 43:[46, 101], Operations: ['40+6=46', '57+44=101']
Exploring Operation: 101-46=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 46+101=147, Resulting Numbers: [147]
147,43 unequal: No Solution
Exploring Operation: 46*101=4646, Resulting Numbers: [4646]
4646,43 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
Current State: 43:[40, 57, 38], Operations: ['44-6=38']
Exploring Operation: 57-40=17, Resulting Numbers: [38, 17]
Generated Node #0,0,0: 43:[38, 17] Operation: 57-40=17
Exploring Operation: 40-38=2, Resulting Numbers: [57, 2]
Generated Node #0,0,1: 43:[57, 2] Operation: 40-38=2
Exploring Operation: 40+38=78, Resulting Numbers: [57, 78]
Generated Node #0,0,2: 43:[57, 78] Operation: 40+38=78
Exploring Operation: 57+38=95, Resulting Numbers: [40, 95]
Generated Node #0,0,3: 43:[40, 95] Operation: 57+38=95
Exploring Operation: 57-38=19, Resulting Numbers: [40, 19]
Generated Node #0,0,4: 43:[40, 19] Operation: 57-38=19
Moving to Node #0,0,4
Current State: 43:[40, 19], Operations: ['44-6=38', '57-38=19']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[38, 17], Operations: ['44-6=38', '57-40=17']
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,43 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[57, 78], Operations: ['44-6=38', '40+38=78']
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 57*78=4446, Resulting Numbers: [4446]
4446,43 unequal: No Solution
Exploring Operation: 57+78=135, Resulting Numbers: [135]
135,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[57, 2], Operations: ['44-6=38', '40-38=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Moving to Node #0,0,3
Current State: 43:[40, 95], Operations: ['44-6=38', '57+38=95']
Exploring Operation: 95-40=55, Resulting Numbers: [55]
55,43 unequal: No Solution
Exploring Operation: 40*95=3800, Resulting Numbers: [3800]
3800,43 unequal: No Solution
Exploring Operation: 40+95=135, Resulting Numbers: [135]
135,43 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
Current State: 43:[40, 44, 63], Operations: ['6+57=63']
Exploring Operation: 40+63=103, Resulting Numbers: [44, 103]
Generated Node #0,1,0: 43:[44, 103] Operation: 40+63=103
Exploring Operation: 63-44=19, Resulting Numbers: [40, 19]
Generated Node #0,1,1: 43:[40, 19] Operation: 63-44=19
Exploring Operation: 63-40=23, Resulting Numbers: [44, 23]
Generated Node #0,1,2: 43:[44, 23] Operation: 63-40=23
Exploring Operation: 40+44=84, Resulting Numbers: [63, 84]
Generated Node #0,1,3: 43:[63, 84] Operation: 40+44=84
Exploring Operation: 44-40=4, Resulting Numbers: [63, 4]
Generated Node #0,1,4: 43:[63, 4] Operation: 44-40=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 43:[44, 23], Operations: ['6+57=63', '63-40=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,43 unequal: No Solution
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,43 unequal: No Solution
No 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: 43:[40, 19], Operations: ['6+57=63', '63-44=19']
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,43 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,43 unequal: No Solution
No 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: 43:[63, 4], Operations: ['6+57=63', '44-40=4']
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,43 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,43 unequal: No Solution
No 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: 43:[44, 103], Operations: ['6+57=63', '40+63=103']
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,43 unequal: No Solution
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,43 unequal: No Solution
No 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: 43:[63, 84], Operations: ['6+57=63', '40+44=84']
Exploring Operation: 63*84=5292, Resulting Numbers: [5292]
5292,43 unequal: No Solution
Exploring Operation: 63+84=147, Resulting Numbers: [147]
147,43 unequal: No Solution
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[57, 44, 34], Operations: ['40-6=34']
Exploring Operation: 44+34=78, Resulting Numbers: [57, 78]
Generated Node #0,3,0: 43:[57, 78] Operation: 44+34=78
Exploring Operation: 57-34=23, Resulting Numbers: [44, 23]
Generated Node #0,3,1: 43:[44, 23] Operation: 57-34=23
Exploring Operation: 57-44=13, Resulting Numbers: [34, 13]
Generated Node #0,3,2: 43:[34, 13] Operation: 57-44=13
Exploring Operation: 44-34=10, Resulting Numbers: [57, 10]
Generated Node #0,3,3: 43:[57, 10] Operation: 44-34=10
Exploring Operation: 57+34=91, Resulting Numbers: [44, 91]
Generated Node #0,3,4: 43:[44, 91] Operation: 57+34=91
Moving to Node #0,3,1
Current State: 43:[44, 23], Operations: ['40-6=34', '57-34=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,43 unequal: No Solution
Moving to Node #0,3,2
Current State: 43:[34, 13], Operations: ['40-6=34', '57-44=13']
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,43 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Moving to Node #0,3,3
Current State: 43:[57, 10], Operations: ['40-6=34', '44-34=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,43 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,43 unequal: No Solution
Moving to Node #0,3,0
Current State: 43:[57, 78], Operations: ['40-6=34', '44+34=78']
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Exploring Operation: 57+78=135, Resulting Numbers: [135]
135,43 unequal: No Solution
Exploring Operation: 57*78=4446, Resulting Numbers: [4446]
4446,43 unequal: No Solution
Moving to Node #0,3,4
Current State: 43:[44, 91], Operations: ['40-6=34', '57+34=91']
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 44*91=4004, Resulting Numbers: [4004]
4004,43 unequal: No Solution
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,43 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 |
[
53,
4,
51,
78
] | 19 | [
"53-51=2",
"78-2=76",
"76/4=19"
] | Current State: 19:[53, 4, 51, 78], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [4, 78, 2]
Generated Node #2: [4, 78, 2] from Operation: 53-51=2
Current State: 19:[4, 78, 2], Operations: ['53-51=2']
Exploring Operation: 78-2=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 78-2=76
Current State: 19:[4, 76], Operations: ['53-51=2', '78-2=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[53, 4, 51, 78], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [4, 78, 2]
Generated Node #0,0: 19:[4, 78, 2] Operation: 53-51=2
Exploring Operation: 78-53=25, Resulting Numbers: [4, 51, 25]
Generated Node #0,1: 19:[4, 51, 25] Operation: 78-53=25
Exploring Operation: 51-4=47, Resulting Numbers: [53, 78, 47]
Generated Node #0,2: 19:[53, 78, 47] Operation: 51-4=47
Exploring Operation: 78-51=27, Resulting Numbers: [53, 4, 27]
Generated Node #0,3: 19:[53, 4, 27] Operation: 78-51=27
Exploring Operation: 53-4=49, Resulting Numbers: [51, 78, 49]
Generated Node #0,4: 19:[51, 78, 49] Operation: 53-4=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[4, 51, 25], Operations: ['78-53=25']
Exploring Operation: 4+51=55, Resulting Numbers: [25, 55]
Generated Node #0,1,0: 19:[25, 55] Operation: 4+51=55
Exploring Operation: 25-4=21, Resulting Numbers: [51, 21]
Generated Node #0,1,1: 19:[51, 21] Operation: 25-4=21
Exploring Operation: 51-4=47, Resulting Numbers: [25, 47]
Generated Node #0,1,2: 19:[25, 47] Operation: 51-4=47
Exploring Operation: 51-25=26, Resulting Numbers: [4, 26]
Generated Node #0,1,3: 19:[4, 26] Operation: 51-25=26
Exploring Operation: 4+25=29, Resulting Numbers: [51, 29]
Generated Node #0,1,4: 19:[51, 29] Operation: 4+25=29
Moving to Node #0,1,3
Current State: 19:[4, 26], Operations: ['78-53=25', '51-25=26']
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,19 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[25, 47], Operations: ['78-53=25', '51-4=47']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,19 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[51, 21], Operations: ['78-53=25', '25-4=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,19 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[25, 55], Operations: ['78-53=25', '4+51=55']
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,19 unequal: No Solution
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,19 unequal: No Solution
Moving to Node #0,1,4
Current State: 19:[51, 29], Operations: ['78-53=25', '4+25=29']
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,19 unequal: No Solution
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,19 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[53, 4, 27], Operations: ['78-51=27']
Exploring Operation: 53-4=49, Resulting Numbers: [27, 49]
Generated Node #0,3,0: 19:[27, 49] Operation: 53-4=49
Exploring Operation: 27-4=23, Resulting Numbers: [53, 23]
Generated Node #0,3,1: 19:[53, 23] Operation: 27-4=23
Exploring Operation: 53+4=57, Resulting Numbers: [27, 57]
Generated Node #0,3,2: 19:[27, 57] Operation: 53+4=57
Exploring Operation: 53-27=26, Resulting Numbers: [4, 26]
Generated Node #0,3,3: 19:[4, 26] Operation: 53-27=26
Exploring Operation: 4+27=31, Resulting Numbers: [53, 31]
Generated Node #0,3,4: 19:[53, 31] Operation: 4+27=31
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 19:[4, 26], Operations: ['78-51=27', '53-27=26']
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,19 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 19:[27, 49], Operations: ['78-51=27', '53-4=49']
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,19 unequal: No Solution
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[53, 23], Operations: ['78-51=27', '27-4=23']
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,19 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[27, 57], Operations: ['78-51=27', '53+4=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 19:[53, 31], Operations: ['78-51=27', '4+27=31']
Exploring Operation: 53+31=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 53*31=1643, Resulting Numbers: [1643]
1643,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[4, 78, 2], Operations: ['53-51=2']
Exploring Operation: 4+2=6, Resulting Numbers: [78, 6]
Generated Node #0,0,0: 19:[78, 6] Operation: 4+2=6
Exploring Operation: 4*2=8, Resulting Numbers: [78, 8]
Generated Node #0,0,1: 19:[78, 8] Operation: 4*2=8
Exploring Operation: 78/2=39, Resulting Numbers: [4, 39]
Generated Node #0,0,2: 19:[4, 39] Operation: 78/2=39
Exploring Operation: 78-4=74, Resulting Numbers: [2, 74]
Generated Node #0,0,3: 19:[2, 74] Operation: 78-4=74
Exploring Operation: 78-2=76, Resulting Numbers: [4, 76]
Generated Node #0,0,4: 19:[4, 76] Operation: 78-2=76
Moving to Node #0,0,2
Current State: 19:[4, 39], Operations: ['53-51=2', '78/2=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,19 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,19 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[78, 8], Operations: ['53-51=2', '4*2=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,19 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 78*8=624, Resulting Numbers: [624]
624,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[78, 6], Operations: ['53-51=2', '4+2=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,19 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,0,3
Current State: 19:[2, 74], Operations: ['53-51=2', '78-4=74']
Exploring Operation: 2*74=148, Resulting Numbers: [148]
148,19 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,0,4
Current State: 19:[4, 76], Operations: ['53-51=2', '78-2=76']
Exploring Operation: 4+76=80, Resulting Numbers: [80]
80,19 unequal: No Solution
Exploring Operation: 4*76=304, Resulting Numbers: [304]
304,19 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[53, 4, 51, 78], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [4, 78, 2]
Generated Node #0,0: 19:[4, 78, 2] Operation: 53-51=2
Moving to Node #0,0
Current State: 19:[4, 78, 2], Operations: ['53-51=2']
Exploring Operation: 78-2=76, Resulting Numbers: [4, 76]
Generated Node #0,0,4: 19:[4, 76] Operation: 78-2=76
Moving to Node #0,0,4
Current State: 19:[4, 76], Operations: ['53-51=2', '78-2=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.938368 | hs_5 | sum_heuristic |
[
49,
69,
70,
39
] | 10 | [
"49-39=10",
"70-69=1",
"10*1=10"
] | Current State: 10:[49, 69, 70, 39], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [69, 70, 10]
Generated Node #2: [69, 70, 10] from Operation: 49-39=10
Current State: 10:[69, 70, 10], Operations: ['49-39=10']
Exploring Operation: 70-69=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 70-69=1
Current State: 10:[10, 1], Operations: ['49-39=10', '70-69=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[49, 69, 70, 39], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [49, 39, 1]
Generated Node #0,0: 10:[49, 39, 1] Operation: 70-69=1
Exploring Operation: 70-49=21, Resulting Numbers: [69, 39, 21]
Generated Node #0,1: 10:[69, 39, 21] Operation: 70-49=21
Exploring Operation: 69-49=20, Resulting Numbers: [70, 39, 20]
Generated Node #0,2: 10:[70, 39, 20] Operation: 69-49=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[49, 39, 1], Operations: ['70-69=1']
Exploring Operation: 49-1=48, Resulting Numbers: [39, 48]
Generated Node #0,0,0: 10:[39, 48] Operation: 49-1=48
Exploring Operation: 39-1=38, Resulting Numbers: [49, 38]
Generated Node #0,0,1: 10:[49, 38] Operation: 39-1=38
Exploring Operation: 49-39=10, Resulting Numbers: [1, 10]
Generated Node #0,0,2: 10:[1, 10] Operation: 49-39=10
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[1, 10], Operations: ['70-69=1', '49-39=10']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[49, 69, 70, 39], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [49, 39, 1]
Generated Node #0,0: 10:[49, 39, 1] Operation: 70-69=1
Moving to Node #0,0
Current State: 10:[49, 39, 1], Operations: ['70-69=1']
Exploring Operation: 49-39=10, Resulting Numbers: [1, 10]
Generated Node #0,0,2: 10:[1, 10] Operation: 49-39=10
Moving to Node #0,0,2
Current State: 10:[1, 10], Operations: ['70-69=1', '49-39=10']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
51,
69,
58,
63
] | 78 | [
"58-51=7",
"63/7=9",
"69+9=78"
] | Current State: 78:[51, 69, 58, 63], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [69, 63, 7]
Generated Node #2: [69, 63, 7] from Operation: 58-51=7
Current State: 78:[69, 63, 7], Operations: ['58-51=7']
Exploring Operation: 63/7=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 63/7=9
Current State: 78:[69, 9], Operations: ['58-51=7', '63/7=9']
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[51, 69, 58, 63], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [51, 69, 5]
Generated Node #0,0: 78:[51, 69, 5] Operation: 63-58=5
Exploring Operation: 69-58=11, Resulting Numbers: [51, 63, 11]
Generated Node #0,1: 78:[51, 63, 11] Operation: 69-58=11
Exploring Operation: 63-51=12, Resulting Numbers: [69, 58, 12]
Generated Node #0,2: 78:[69, 58, 12] Operation: 63-51=12
Exploring Operation: 58-51=7, Resulting Numbers: [69, 63, 7]
Generated Node #0,3: 78:[69, 63, 7] Operation: 58-51=7
Moving to Node #0,0
Current State: 78:[51, 69, 5], Operations: ['63-58=5']
Exploring Operation: 51-5=46, Resulting Numbers: [69, 46]
Generated Node #0,0,0: 78:[69, 46] Operation: 51-5=46
Exploring Operation: 51+5=56, Resulting Numbers: [69, 56]
Generated Node #0,0,1: 78:[69, 56] Operation: 51+5=56
Exploring Operation: 69+5=74, Resulting Numbers: [51, 74]
Generated Node #0,0,2: 78:[51, 74] Operation: 69+5=74
Exploring Operation: 69-51=18, Resulting Numbers: [5, 18]
Generated Node #0,0,3: 78:[5, 18] Operation: 69-51=18
Moving to Node #0,3
Current State: 78:[69, 63, 7], Operations: ['58-51=7']
Exploring Operation: 63+7=70, Resulting Numbers: [69, 70]
Generated Node #0,3,0: 78:[69, 70] Operation: 63+7=70
Exploring Operation: 69+7=76, Resulting Numbers: [63, 76]
Generated Node #0,3,1: 78:[63, 76] Operation: 69+7=76
Exploring Operation: 69-63=6, Resulting Numbers: [7, 6]
Generated Node #0,3,2: 78:[7, 6] Operation: 69-63=6
Exploring Operation: 63/7=9, Resulting Numbers: [69, 9]
Generated Node #0,3,3: 78:[69, 9] Operation: 63/7=9
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 78:[7, 6], Operations: ['58-51=7', '69-63=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 78:[69, 9], Operations: ['58-51=7', '63/7=9']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 69*9=621, Resulting Numbers: [621]
621,78 unequal: No Solution
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[51, 69, 58, 63], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [69, 63, 7]
Generated Node #0,3: 78:[69, 63, 7] Operation: 58-51=7
Moving to Node #0,3
Current State: 78:[69, 63, 7], Operations: ['58-51=7']
Exploring Operation: 63/7=9, Resulting Numbers: [69, 9]
Generated Node #0,3,3: 78:[69, 9] Operation: 63/7=9
Moving to Node #0,3,3
Current State: 78:[69, 9], Operations: ['58-51=7', '63/7=9']
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
50,
3,
56,
21
] | 58 | [
"3*56=168",
"168/21=8",
"50+8=58"
] | Current State: 58:[50, 3, 56, 21], Operations: []
Exploring Operation: 3*56=168, Resulting Numbers: [50, 21, 168]
Generated Node #2: [50, 21, 168] from Operation: 3*56=168
Current State: 58:[50, 21, 168], Operations: ['3*56=168']
Exploring Operation: 168/21=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 168/21=8
Current State: 58:[50, 8], Operations: ['3*56=168', '168/21=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[50, 3, 56, 21], Operations: []
Exploring Operation: 56-50=6, Resulting Numbers: [3, 21, 6]
Generated Node #0,0: 58:[3, 21, 6] Operation: 56-50=6
Exploring Operation: 3+21=24, Resulting Numbers: [50, 56, 24]
Generated Node #0,1: 58:[50, 56, 24] Operation: 3+21=24
Exploring Operation: 3*21=63, Resulting Numbers: [50, 56, 63]
Generated Node #0,2: 58:[50, 56, 63] Operation: 3*21=63
Exploring Operation: 50-21=29, Resulting Numbers: [3, 56, 29]
Generated Node #0,3: 58:[3, 56, 29] Operation: 50-21=29
Exploring Operation: 50+3=53, Resulting Numbers: [56, 21, 53]
Generated Node #0,4: 58:[56, 21, 53] Operation: 50+3=53
Moving to Node #0,3
Current State: 58:[3, 56, 29], Operations: ['50-21=29']
Exploring Operation: 29-3=26, Resulting Numbers: [56, 26]
Generated Node #0,3,0: 58:[56, 26] Operation: 29-3=26
Exploring Operation: 56-3=53, Resulting Numbers: [29, 53]
Generated Node #0,3,1: 58:[29, 53] Operation: 56-3=53
Exploring Operation: 3+29=32, Resulting Numbers: [56, 32]
Generated Node #0,3,2: 58:[56, 32] Operation: 3+29=32
Exploring Operation: 56-29=27, Resulting Numbers: [3, 27]
Generated Node #0,3,3: 58:[3, 27] Operation: 56-29=27
Exploring Operation: 3+56=59, Resulting Numbers: [29, 59]
Generated Node #0,3,4: 58:[29, 59] Operation: 3+56=59
Moving to Node #0,0
Current State: 58:[3, 21, 6], Operations: ['56-50=6']
Exploring Operation: 21+6=27, Resulting Numbers: [3, 27]
Generated Node #0,0,0: 58:[3, 27] Operation: 21+6=27
Exploring Operation: 6/3=2, Resulting Numbers: [21, 2]
Generated Node #0,0,1: 58:[21, 2] Operation: 6/3=2
Exploring Operation: 21/3=7, Resulting Numbers: [6, 7]
Generated Node #0,0,2: 58:[6, 7] Operation: 21/3=7
Exploring Operation: 3+21=24, Resulting Numbers: [6, 24]
Generated Node #0,0,3: 58:[6, 24] Operation: 3+21=24
Exploring Operation: 3*21=63, Resulting Numbers: [6, 63]
Generated Node #0,0,4: 58:[6, 63] Operation: 3*21=63
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[3, 27], Operations: ['56-50=6', '21+6=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[21, 2], Operations: ['56-50=6', '6/3=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,58 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[6, 7], Operations: ['56-50=6', '21/3=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[6, 24], Operations: ['56-50=6', '3+21=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,58 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 58:[6, 63], Operations: ['56-50=6', '3*21=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,58 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 58:[50, 56, 24], Operations: ['3+21=24']
Exploring Operation: 56-24=32, Resulting Numbers: [50, 32]
Generated Node #0,1,0: 58:[50, 32] Operation: 56-24=32
Exploring Operation: 56+24=80, Resulting Numbers: [50, 80]
Generated Node #0,1,1: 58:[50, 80] Operation: 56+24=80
Exploring Operation: 56-50=6, Resulting Numbers: [24, 6]
Generated Node #0,1,2: 58:[24, 6] Operation: 56-50=6
Exploring Operation: 50+24=74, Resulting Numbers: [56, 74]
Generated Node #0,1,3: 58:[56, 74] Operation: 50+24=74
Exploring Operation: 50-24=26, Resulting Numbers: [56, 26]
Generated Node #0,1,4: 58:[56, 26] Operation: 50-24=26
Moving to Node #0,2
Current State: 58:[50, 56, 63], Operations: ['3*21=63']
Exploring Operation: 50+56=106, Resulting Numbers: [63, 106]
Generated Node #0,2,0: 58:[63, 106] Operation: 50+56=106
Exploring Operation: 63-50=13, Resulting Numbers: [56, 13]
Generated Node #0,2,1: 58:[56, 13] Operation: 63-50=13
Exploring Operation: 63-56=7, Resulting Numbers: [50, 7]
Generated Node #0,2,2: 58:[50, 7] Operation: 63-56=7
Exploring Operation: 56-50=6, Resulting Numbers: [63, 6]
Generated Node #0,2,3: 58:[63, 6] Operation: 56-50=6
Exploring Operation: 50+63=113, Resulting Numbers: [56, 113]
Generated Node #0,2,4: 58:[56, 113] Operation: 50+63=113
Moving to Node #0,4
Current State: 58:[56, 21, 53], Operations: ['50+3=53']
Exploring Operation: 56+21=77, Resulting Numbers: [53, 77]
Generated Node #0,4,0: 58:[53, 77] Operation: 56+21=77
Exploring Operation: 56-21=35, Resulting Numbers: [53, 35]
Generated Node #0,4,1: 58:[53, 35] Operation: 56-21=35
Exploring Operation: 21+53=74, Resulting Numbers: [56, 74]
Generated Node #0,4,2: 58:[56, 74] Operation: 21+53=74
Exploring Operation: 56-53=3, Resulting Numbers: [21, 3]
Generated Node #0,4,3: 58:[21, 3] Operation: 56-53=3
Exploring Operation: 53-21=32, Resulting Numbers: [56, 32]
Generated Node #0,4,4: 58:[56, 32] Operation: 53-21=32
Moving to Node #0,3,4
Current State: 58:[29, 59], Operations: ['50-21=29', '3+56=59']
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 29*59=1711, Resulting Numbers: [1711]
1711,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[3, 27], Operations: ['50-21=29', '56-29=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[56, 26], Operations: ['50-21=29', '29-3=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,58 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[56, 26], Operations: ['3+21=24', '50-24=26']
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,58 unequal: No Solution
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[56, 32], Operations: ['50-21=29', '3+29=32']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,58 unequal: No Solution
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[29, 53], Operations: ['50-21=29', '56-3=53']
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 29*53=1537, Resulting Numbers: [1537]
1537,58 unequal: No Solution
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Moving to Node #0,4,4
Current State: 58:[56, 32], Operations: ['50+3=53', '53-21=32']
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[24, 6], Operations: ['3+21=24', '56-50=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[63, 6], Operations: ['3*21=63', '56-50=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,58 unequal: No Solution
Moving to Node #0,4,3
Current State: 58:[21, 3], Operations: ['50+3=53', '56-53=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,58 unequal: No Solution
Moving to Node #0,4,1
Current State: 58:[53, 35], Operations: ['50+3=53', '56-21=35']
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 53*35=1855, Resulting Numbers: [1855]
1855,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[50, 32], Operations: ['3+21=24', '56-24=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[50, 7], Operations: ['3*21=63', '63-56=7']
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,58 unequal: No Solution
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[56, 13], Operations: ['3*21=63', '63-50=13']
Exploring Operation: 56+13=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 56*13=728, Resulting Numbers: [728]
728,58 unequal: No Solution
Moving to Node #0,1,3
Current State: 58:[56, 74], Operations: ['3+21=24', '50+24=74']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 56+74=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Exploring Operation: 56*74=4144, Resulting Numbers: [4144]
4144,58 unequal: No Solution
Moving to Node #0,4,2
Current State: 58:[56, 74], Operations: ['50+3=53', '21+53=74']
Exploring Operation: 56+74=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 56*74=4144, Resulting Numbers: [4144]
4144,58 unequal: No Solution
Moving to Node #0,4,0
Current State: 58:[53, 77], Operations: ['50+3=53', '56+21=77']
Exploring Operation: 77-53=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Exploring Operation: 53+77=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Exploring Operation: 53*77=4081, Resulting Numbers: [4081]
4081,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[50, 80], Operations: ['3+21=24', '56+24=80']
Exploring Operation: 50*80=4000, Resulting Numbers: [4000]
4000,58 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 50+80=130, Resulting Numbers: [130]
130,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[63, 106], Operations: ['3*21=63', '50+56=106']
Exploring Operation: 63+106=169, Resulting Numbers: [169]
169,58 unequal: No Solution
Exploring Operation: 106-63=43, Resulting Numbers: [43]
43,58 unequal: No Solution
Exploring Operation: 63*106=6678, Resulting Numbers: [6678]
6678,58 unequal: No Solution
Moving to Node #0,2,4
Current State: 58:[56, 113], Operations: ['3*21=63', '50+63=113']
Exploring Operation: 113-56=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 56+113=169, Resulting Numbers: [169]
169,58 unequal: No Solution
Exploring Operation: 56*113=6328, Resulting Numbers: [6328]
6328,58 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
70,
37,
41,
31
] | 74 | [
"70-41=29",
"31-29=2",
"37*2=74"
] | Current State: 74:[70, 37, 41, 31], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [37, 31, 29]
Generated Node #2: [37, 31, 29] from Operation: 70-41=29
Current State: 74:[37, 31, 29], Operations: ['70-41=29']
Exploring Operation: 31-29=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 31-29=2
Current State: 74:[37, 2], Operations: ['70-41=29', '31-29=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[70, 37, 41, 31], Operations: []
Exploring Operation: 41+31=72, Resulting Numbers: [70, 37, 72]
Generated Node #0,0: 74:[70, 37, 72] Operation: 41+31=72
Exploring Operation: 70-31=39, Resulting Numbers: [37, 41, 39]
Generated Node #0,1: 74:[37, 41, 39] Operation: 70-31=39
Moving to Node #0,0
Current State: 74:[70, 37, 72], Operations: ['41+31=72']
Exploring Operation: 70-37=33, Resulting Numbers: [72, 33]
Generated Node #0,0,0: 74:[72, 33] Operation: 70-37=33
Exploring Operation: 72-70=2, Resulting Numbers: [37, 2]
Generated Node #0,0,1: 74:[37, 2] Operation: 72-70=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[37, 2], Operations: ['41+31=72', '72-70=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[70, 37, 41, 31], Operations: []
Exploring Operation: 41+31=72, Resulting Numbers: [70, 37, 72]
Generated Node #0,0: 74:[70, 37, 72] Operation: 41+31=72
Moving to Node #0,0
Current State: 74:[70, 37, 72], Operations: ['41+31=72']
Exploring Operation: 72-70=2, Resulting Numbers: [37, 2]
Generated Node #0,0,1: 74:[37, 2] Operation: 72-70=2
Moving to Node #0,0,1
Current State: 74:[37, 2], Operations: ['41+31=72', '72-70=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
9,
7,
88,
52
] | 96 | [
"9-7=2",
"88/2=44",
"52+44=96"
] | Current State: 96:[9, 7, 88, 52], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [88, 52, 2]
Generated Node #2: [88, 52, 2] from Operation: 9-7=2
Current State: 96:[88, 52, 2], Operations: ['9-7=2']
Exploring Operation: 88/2=44, Resulting Numbers: [52, 44]
Generated Node #3: [52, 44] from Operation: 88/2=44
Current State: 96:[52, 44], Operations: ['9-7=2', '88/2=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[9, 7, 88, 52], Operations: []
Exploring Operation: 9+88=97, Resulting Numbers: [7, 52, 97]
Generated Node #0,0: 96:[7, 52, 97] Operation: 9+88=97
Moving to Node #0,0
Current State: 96:[7, 52, 97], Operations: ['9+88=97']
Exploring Operation: 52-7=45, Resulting Numbers: [97, 45]
Generated Node #0,0,0: 96:[97, 45] Operation: 52-7=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[97, 45], Operations: ['9+88=97', '52-7=45']
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,96 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 |
[
98,
82,
13,
26
] | 78 | [
"98-82=16",
"16-13=3",
"26*3=78"
] | Current State: 78:[98, 82, 13, 26], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [13, 26, 16]
Generated Node #2: [13, 26, 16] from Operation: 98-82=16
Current State: 78:[13, 26, 16], Operations: ['98-82=16']
Exploring Operation: 16-13=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 16-13=3
Current State: 78:[26, 3], Operations: ['98-82=16', '16-13=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[98, 82, 13, 26], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [82, 13, 72]
Generated Node #0,0: 78:[82, 13, 72] Operation: 98-26=72
Exploring Operation: 13+26=39, Resulting Numbers: [98, 82, 39]
Generated Node #0,1: 78:[98, 82, 39] Operation: 13+26=39
Exploring Operation: 98-13=85, Resulting Numbers: [82, 26, 85]
Generated Node #0,2: 78:[82, 26, 85] Operation: 98-13=85
Exploring Operation: 98-82=16, Resulting Numbers: [13, 26, 16]
Generated Node #0,3: 78:[13, 26, 16] Operation: 98-82=16
Exploring Operation: 26-13=13, Resulting Numbers: [98, 82, 13]
Generated Node #0,4: 78:[98, 82, 13] Operation: 26-13=13
Moving to Node #0,3
Current State: 78:[13, 26, 16], Operations: ['98-82=16']
Exploring Operation: 16-13=3, Resulting Numbers: [26, 3]
Generated Node #0,3,0: 78:[26, 3] Operation: 16-13=3
Exploring Operation: 26-13=13, Resulting Numbers: [16, 13]
Generated Node #0,3,1: 78:[16, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [16, 2]
Generated Node #0,3,2: 78:[16, 2] Operation: 26/13=2
Exploring Operation: 13+16=29, Resulting Numbers: [26, 29]
Generated Node #0,3,3: 78:[26, 29] Operation: 13+16=29
Exploring Operation: 13+26=39, Resulting Numbers: [16, 39]
Generated Node #0,3,4: 78:[16, 39] Operation: 13+26=39
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 78:[26, 3], Operations: ['98-82=16', '16-13=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[98, 82, 13, 26], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [13, 26, 16]
Generated Node #0,3: 78:[13, 26, 16] Operation: 98-82=16
Moving to Node #0,3
Current State: 78:[13, 26, 16], Operations: ['98-82=16']
Exploring Operation: 16-13=3, Resulting Numbers: [26, 3]
Generated Node #0,3,0: 78:[26, 3] Operation: 16-13=3
Moving to Node #0,3,0
Current State: 78:[26, 3], Operations: ['98-82=16', '16-13=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
97,
75,
76,
12
] | 84 | [
"97+75=172",
"76+12=88",
"172-88=84"
] | Current State: 84:[97, 75, 76, 12], Operations: []
Exploring Operation: 97+75=172, Resulting Numbers: [76, 12, 172]
Generated Node #2: [76, 12, 172] from Operation: 97+75=172
Current State: 84:[76, 12, 172], Operations: ['97+75=172']
Exploring Operation: 76+12=88, Resulting Numbers: [172, 88]
Generated Node #3: [172, 88] from Operation: 76+12=88
Current State: 84:[172, 88], Operations: ['97+75=172', '76+12=88']
Exploring Operation: 172-88=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[97, 75, 76, 12], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [75, 12, 21]
Generated Node #0,0: 84:[75, 12, 21] Operation: 97-76=21
Exploring Operation: 97-75=22, Resulting Numbers: [76, 12, 22]
Generated Node #0,1: 84:[76, 12, 22] Operation: 97-75=22
Exploring Operation: 76-75=1, Resulting Numbers: [97, 12, 1]
Generated Node #0,2: 84:[97, 12, 1] Operation: 76-75=1
Moving to Node #0,0
Current State: 84:[75, 12, 21], Operations: ['97-76=21']
Exploring Operation: 21-12=9, Resulting Numbers: [75, 9]
Generated Node #0,0,0: 84:[75, 9] Operation: 21-12=9
Exploring Operation: 75+21=96, Resulting Numbers: [12, 96]
Generated Node #0,0,1: 84:[12, 96] Operation: 75+21=96
Exploring Operation: 75+12=87, Resulting Numbers: [21, 87]
Generated Node #0,0,2: 84:[21, 87] Operation: 75+12=87
Moving to Node #0,1
Current State: 84:[76, 12, 22], Operations: ['97-75=22']
Exploring Operation: 76+12=88, Resulting Numbers: [22, 88]
Generated Node #0,1,0: 84:[22, 88] Operation: 76+12=88
Exploring Operation: 76-22=54, Resulting Numbers: [12, 54]
Generated Node #0,1,1: 84:[12, 54] Operation: 76-22=54
Exploring Operation: 22-12=10, Resulting Numbers: [76, 10]
Generated Node #0,1,2: 84:[76, 10] Operation: 22-12=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[22, 88], Operations: ['97-75=22', '76+12=88']
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,84 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,84 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 #0,1,2
Current State: 84:[76, 10], Operations: ['97-75=22', '22-12=10']
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,84 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,84 unequal: No Solution
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,84 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:[12, 54], Operations: ['97-75=22', '76-22=54']
Exploring Operation: 12*54=648, Resulting Numbers: [648]
648,84 unequal: No Solution
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,84 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: 84:[97, 12, 1], Operations: ['76-75=1']
Exploring Operation: 97*1=97, Resulting Numbers: [12, 97]
Generated Node #0,2,0: 84:[12, 97] Operation: 97*1=97
Exploring Operation: 97-1=96, Resulting Numbers: [12, 96]
Generated Node #0,2,1: 84:[12, 96] Operation: 97-1=96
Exploring Operation: 97-12=85, Resulting Numbers: [1, 85]
Generated Node #0,2,2: 84:[1, 85] Operation: 97-12=85
Moving to Node #0,2,2
Current State: 84:[1, 85], Operations: ['76-75=1', '97-12=85']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[97, 75, 76, 12], Operations: []
Exploring Operation: 76-75=1, Resulting Numbers: [97, 12, 1]
Generated Node #0,2: 84:[97, 12, 1] Operation: 76-75=1
Moving to Node #0,2
Current State: 84:[97, 12, 1], Operations: ['76-75=1']
Exploring Operation: 97-12=85, Resulting Numbers: [1, 85]
Generated Node #0,2,2: 84:[1, 85] Operation: 97-12=85
Moving to Node #0,2,2
Current State: 84:[1, 85], Operations: ['76-75=1', '97-12=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
96,
81,
98,
66
] | 82 | [
"81*98=7938",
"7938-66=7872",
"7872/96=82"
] | Current State: 82:[96, 81, 98, 66], Operations: []
Exploring Operation: 81*98=7938, Resulting Numbers: [96, 66, 7938]
Generated Node #2: [96, 66, 7938] from Operation: 81*98=7938
Current State: 82:[96, 66, 7938], Operations: ['81*98=7938']
Exploring Operation: 7938-66=7872, Resulting Numbers: [96, 7872]
Generated Node #3: [96, 7872] from Operation: 7938-66=7872
Current State: 82:[96, 7872], Operations: ['81*98=7938', '7938-66=7872']
Exploring Operation: 7872/96=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[96, 81, 98, 66], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [81, 66, 2]
Generated Node #0,0: 82:[81, 66, 2] Operation: 98-96=2
Exploring Operation: 98-66=32, Resulting Numbers: [96, 81, 32]
Generated Node #0,1: 82:[96, 81, 32] Operation: 98-66=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[81, 66, 2], Operations: ['98-96=2']
Exploring Operation: 66/2=33, Resulting Numbers: [81, 33]
Generated Node #0,0,0: 82:[81, 33] Operation: 66/2=33
Exploring Operation: 81-66=15, Resulting Numbers: [2, 15]
Generated Node #0,0,1: 82:[2, 15] Operation: 81-66=15
Moving to Node #0,0,0
Current State: 82:[81, 33], Operations: ['98-96=2', '66/2=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[2, 15], Operations: ['98-96=2', '81-66=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,82 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[96, 81, 32], Operations: ['98-66=32']
Exploring Operation: 96/32=3, Resulting Numbers: [81, 3]
Generated Node #0,1,0: 82:[81, 3] Operation: 96/32=3
Exploring Operation: 96-32=64, Resulting Numbers: [81, 64]
Generated Node #0,1,1: 82:[81, 64] Operation: 96-32=64
Moving to Node #0,1,0
Current State: 82:[81, 3], Operations: ['98-66=32', '96/32=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[81, 64], Operations: ['98-66=32', '96-32=64']
Exploring Operation: 81+64=145, Resulting Numbers: [145]
145,82 unequal: No Solution
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,82 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 |
[
57,
2,
33,
5
] | 21 | [
"57+2=59",
"33+5=38",
"59-38=21"
] | Current State: 21:[57, 2, 33, 5], Operations: []
Exploring Operation: 57+2=59, Resulting Numbers: [33, 5, 59]
Generated Node #2: [33, 5, 59] from Operation: 57+2=59
Current State: 21:[33, 5, 59], Operations: ['57+2=59']
Exploring Operation: 33+5=38, Resulting Numbers: [59, 38]
Generated Node #3: [59, 38] from Operation: 33+5=38
Current State: 21:[59, 38], Operations: ['57+2=59', '33+5=38']
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[57, 2, 33, 5], Operations: []
Exploring Operation: 57-33=24, Resulting Numbers: [2, 5, 24]
Generated Node #0,0: 21:[2, 5, 24] Operation: 57-33=24
Exploring Operation: 33-5=28, Resulting Numbers: [57, 2, 28]
Generated Node #0,1: 21:[57, 2, 28] Operation: 33-5=28
Exploring Operation: 57-5=52, Resulting Numbers: [2, 33, 52]
Generated Node #0,2: 21:[2, 33, 52] Operation: 57-5=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[2, 5, 24], Operations: ['57-33=24']
Exploring Operation: 24-2=22, Resulting Numbers: [5, 22]
Generated Node #0,0,0: 21:[5, 22] Operation: 24-2=22
Exploring Operation: 2+5=7, Resulting Numbers: [24, 7]
Generated Node #0,0,1: 21:[24, 7] Operation: 2+5=7
Exploring Operation: 5-2=3, Resulting Numbers: [24, 3]
Generated Node #0,0,2: 21:[24, 3] Operation: 5-2=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[5, 22], Operations: ['57-33=24', '24-2=22']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,21 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:[24, 7], Operations: ['57-33=24', '2+5=7']
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,21 unequal: No Solution
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,21 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:[24, 3], Operations: ['57-33=24', '5-2=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,21 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[57, 2, 33, 5], Operations: []
Exploring Operation: 57-33=24, Resulting Numbers: [2, 5, 24]
Generated Node #0,0: 21:[2, 5, 24] Operation: 57-33=24
Moving to Node #0,0
Current State: 21:[2, 5, 24], Operations: ['57-33=24']
Exploring Operation: 5-2=3, Resulting Numbers: [24, 3]
Generated Node #0,0,2: 21:[24, 3] Operation: 5-2=3
Moving to Node #0,0,2
Current State: 21:[24, 3], Operations: ['57-33=24', '5-2=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
48,
3,
65,
36
] | 52 | [
"48-3=45",
"65*36=2340",
"2340/45=52"
] | Current State: 52:[48, 3, 65, 36], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [65, 36, 45]
Generated Node #2: [65, 36, 45] from Operation: 48-3=45
Current State: 52:[65, 36, 45], Operations: ['48-3=45']
Exploring Operation: 65*36=2340, Resulting Numbers: [45, 2340]
Generated Node #3: [45, 2340] from Operation: 65*36=2340
Current State: 52:[45, 2340], Operations: ['48-3=45', '65*36=2340']
Exploring Operation: 2340/45=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[48, 3, 65, 36], Operations: []
Exploring Operation: 65-48=17, Resulting Numbers: [3, 36, 17]
Generated Node #0,0: 52:[3, 36, 17] Operation: 65-48=17
Exploring Operation: 65-36=29, Resulting Numbers: [48, 3, 29]
Generated Node #0,1: 52:[48, 3, 29] Operation: 65-36=29
Moving to Node #0,1
Current State: 52:[48, 3, 29], Operations: ['65-36=29']
Exploring Operation: 48+3=51, Resulting Numbers: [29, 51]
Generated Node #0,1,0: 52:[29, 51] Operation: 48+3=51
Exploring Operation: 29-3=26, Resulting Numbers: [48, 26]
Generated Node #0,1,1: 52:[48, 26] Operation: 29-3=26
Moving to Node #0,0
Current State: 52:[3, 36, 17], Operations: ['65-48=17']
Exploring Operation: 36+17=53, Resulting Numbers: [3, 53]
Generated Node #0,0,0: 52:[3, 53] Operation: 36+17=53
Exploring Operation: 36/3=12, Resulting Numbers: [17, 12]
Generated Node #0,0,1: 52:[17, 12] Operation: 36/3=12
Moving to Node #0,0,0
Current State: 52:[3, 53], Operations: ['65-48=17', '36+17=53']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,52 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[29, 51], Operations: ['65-36=29', '48+3=51']
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[48, 26], Operations: ['65-36=29', '29-3=26']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[17, 12], Operations: ['65-48=17', '36/3=12']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,52 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
67,
39,
94,
79
] | 67 | [
"67+39=106",
"94+79=173",
"173-106=67"
] | Current State: 67:[67, 39, 94, 79], Operations: []
Exploring Operation: 67+39=106, Resulting Numbers: [94, 79, 106]
Generated Node #2: [94, 79, 106] from Operation: 67+39=106
Current State: 67:[94, 79, 106], Operations: ['67+39=106']
Exploring Operation: 94+79=173, Resulting Numbers: [106, 173]
Generated Node #3: [106, 173] from Operation: 94+79=173
Current State: 67:[106, 173], Operations: ['67+39=106', '94+79=173']
Exploring Operation: 173-106=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[67, 39, 94, 79], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [67, 94, 40]
Generated Node #0,0: 67:[67, 94, 40] Operation: 79-39=40
Exploring Operation: 67+39=106, Resulting Numbers: [94, 79, 106]
Generated Node #0,1: 67:[94, 79, 106] Operation: 67+39=106
Exploring Operation: 94-39=55, Resulting Numbers: [67, 79, 55]
Generated Node #0,2: 67:[67, 79, 55] Operation: 94-39=55
Moving to Node #0,2
Current State: 67:[67, 79, 55], Operations: ['94-39=55']
Exploring Operation: 79-67=12, Resulting Numbers: [55, 12]
Generated Node #0,2,0: 67:[55, 12] Operation: 79-67=12
Exploring Operation: 79-55=24, Resulting Numbers: [67, 24]
Generated Node #0,2,1: 67:[67, 24] Operation: 79-55=24
Exploring Operation: 67+55=122, Resulting Numbers: [79, 122]
Generated Node #0,2,2: 67:[79, 122] Operation: 67+55=122
Moving to Node #0,0
Current State: 67:[67, 94, 40], Operations: ['79-39=40']
Exploring Operation: 94-67=27, Resulting Numbers: [40, 27]
Generated Node #0,0,0: 67:[40, 27] Operation: 94-67=27
Exploring Operation: 94-40=54, Resulting Numbers: [67, 54]
Generated Node #0,0,1: 67:[67, 54] Operation: 94-40=54
Exploring Operation: 67+40=107, Resulting Numbers: [94, 107]
Generated Node #0,0,2: 67:[94, 107] Operation: 67+40=107
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[67, 54], Operations: ['79-39=40', '94-40=54']
Exploring Operation: 67*54=3618, Resulting Numbers: [3618]
3618,67 unequal: No Solution
Exploring Operation: 67+54=121, Resulting Numbers: [121]
121,67 unequal: No Solution
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,67 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 #0,0,0
Current State: 67:[40, 27], Operations: ['79-39=40', '94-67=27']
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[67, 39, 94, 79], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [67, 94, 40]
Generated Node #0,0: 67:[67, 94, 40] Operation: 79-39=40
Moving to Node #0,0
Current State: 67:[67, 94, 40], Operations: ['79-39=40']
Exploring Operation: 94-67=27, Resulting Numbers: [40, 27]
Generated Node #0,0,0: 67:[40, 27] Operation: 94-67=27
Moving to Node #0,0,0
Current State: 67:[40, 27], Operations: ['79-39=40', '94-67=27']
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
56,
92,
10,
15
] | 17 | [
"56-10=46",
"92/46=2",
"15+2=17"
] | Current State: 17:[56, 92, 10, 15], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [92, 15, 46]
Generated Node #2: [92, 15, 46] from Operation: 56-10=46
Current State: 17:[92, 15, 46], Operations: ['56-10=46']
Exploring Operation: 92/46=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 92/46=2
Current State: 17:[15, 2], Operations: ['56-10=46', '92/46=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[56, 92, 10, 15], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [10, 15, 36]
Generated Node #0,0: 17:[10, 15, 36] Operation: 92-56=36
Exploring Operation: 56-15=41, Resulting Numbers: [92, 10, 41]
Generated Node #0,1: 17:[92, 10, 41] Operation: 56-15=41
Exploring Operation: 56-10=46, Resulting Numbers: [92, 15, 46]
Generated Node #0,2: 17:[92, 15, 46] Operation: 56-10=46
Exploring Operation: 92-10=82, Resulting Numbers: [56, 15, 82]
Generated Node #0,3: 17:[56, 15, 82] Operation: 92-10=82
Moving to Node #0,0
Current State: 17:[10, 15, 36], Operations: ['92-56=36']
Exploring Operation: 36-10=26, Resulting Numbers: [15, 26]
Generated Node #0,0,0: 17:[15, 26] Operation: 36-10=26
Exploring Operation: 15-10=5, Resulting Numbers: [36, 5]
Generated Node #0,0,1: 17:[36, 5] Operation: 15-10=5
Exploring Operation: 10+15=25, Resulting Numbers: [36, 25]
Generated Node #0,0,2: 17:[36, 25] Operation: 10+15=25
Exploring Operation: 36-15=21, Resulting Numbers: [10, 21]
Generated Node #0,0,3: 17:[10, 21] Operation: 36-15=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[15, 26], Operations: ['92-56=36', '36-10=26']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Exploring Operation: 15*26=390, Resulting Numbers: [390]
390,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 17:[10, 21], Operations: ['92-56=36', '36-15=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 17:[36, 25], Operations: ['92-56=36', '10+15=25']
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,17 unequal: No Solution
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[36, 5], Operations: ['92-56=36', '15-10=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,17 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: 17:[92, 15, 46], Operations: ['56-10=46']
Exploring Operation: 46-15=31, Resulting Numbers: [92, 31]
Generated Node #0,2,0: 17:[92, 31] Operation: 46-15=31
Exploring Operation: 92-46=46, Resulting Numbers: [15, 46]
Generated Node #0,2,1: 17:[15, 46] Operation: 92-46=46
Exploring Operation: 92-15=77, Resulting Numbers: [46, 77]
Generated Node #0,2,2: 17:[46, 77] Operation: 92-15=77
Exploring Operation: 92/46=2, Resulting Numbers: [15, 2]
Generated Node #0,2,3: 17:[15, 2] Operation: 92/46=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[15, 2], Operations: ['56-10=46', '92/46=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[56, 92, 10, 15], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [92, 15, 46]
Generated Node #0,2: 17:[92, 15, 46] Operation: 56-10=46
Moving to Node #0,2
Current State: 17:[92, 15, 46], Operations: ['56-10=46']
Exploring Operation: 92/46=2, Resulting Numbers: [15, 2]
Generated Node #0,2,3: 17:[15, 2] Operation: 92/46=2
Moving to Node #0,2,3
Current State: 17:[15, 2], Operations: ['56-10=46', '92/46=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
88,
2,
66,
9
] | 31 | [
"88/2=44",
"66+9=75",
"75-44=31"
] | Current State: 31:[88, 2, 66, 9], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [66, 9, 44]
Generated Node #2: [66, 9, 44] from Operation: 88/2=44
Current State: 31:[66, 9, 44], Operations: ['88/2=44']
Exploring Operation: 66+9=75, Resulting Numbers: [44, 75]
Generated Node #3: [44, 75] from Operation: 66+9=75
Current State: 31:[44, 75], Operations: ['88/2=44', '66+9=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[88, 2, 66, 9], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [2, 9, 22]
Generated Node #0,0: 31:[2, 9, 22] Operation: 88-66=22
Exploring Operation: 88/2=44, Resulting Numbers: [66, 9, 44]
Generated Node #0,1: 31:[66, 9, 44] Operation: 88/2=44
Exploring Operation: 2*9=18, Resulting Numbers: [88, 66, 18]
Generated Node #0,2: 31:[88, 66, 18] Operation: 2*9=18
Exploring Operation: 66/2=33, Resulting Numbers: [88, 9, 33]
Generated Node #0,3: 31:[88, 9, 33] Operation: 66/2=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[2, 9, 22], Operations: ['88-66=22']
Exploring Operation: 2+22=24, Resulting Numbers: [9, 24]
Generated Node #0,0,0: 31:[9, 24] Operation: 2+22=24
Exploring Operation: 2+9=11, Resulting Numbers: [22, 11]
Generated Node #0,0,1: 31:[22, 11] Operation: 2+9=11
Exploring Operation: 9+22=31, Resulting Numbers: [2, 31]
Generated Node #0,0,2: 31:[2, 31] Operation: 9+22=31
Exploring Operation: 2*9=18, Resulting Numbers: [22, 18]
Generated Node #0,0,3: 31:[22, 18] Operation: 2*9=18
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 31:[22, 18], Operations: ['88-66=22', '2*9=18']
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,31 unequal: No Solution
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No 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: 31:[9, 24], Operations: ['88-66=22', '2+22=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,31 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,31 unequal: No Solution
No 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: 31:[22, 11], Operations: ['88-66=22', '2+9=11']
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,31 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,31 unequal: No Solution
No 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: 31:[2, 31], Operations: ['88-66=22', '9+22=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,31 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: 31:[66, 9, 44], Operations: ['88/2=44']
Exploring Operation: 66-44=22, Resulting Numbers: [9, 22]
Generated Node #0,1,0: 31:[9, 22] Operation: 66-44=22
Exploring Operation: 66+9=75, Resulting Numbers: [44, 75]
Generated Node #0,1,1: 31:[44, 75] Operation: 66+9=75
Exploring Operation: 44-9=35, Resulting Numbers: [66, 35]
Generated Node #0,1,2: 31:[66, 35] Operation: 44-9=35
Exploring Operation: 66-9=57, Resulting Numbers: [44, 57]
Generated Node #0,1,3: 31:[44, 57] Operation: 66-9=57
Moving to Node #0,1,0
Current State: 31:[9, 22], Operations: ['88/2=44', '66-44=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,31 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[88, 2, 66, 9], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [66, 9, 44]
Generated Node #0,1: 31:[66, 9, 44] Operation: 88/2=44
Moving to Node #0,1
Current State: 31:[66, 9, 44], Operations: ['88/2=44']
Exploring Operation: 66-44=22, Resulting Numbers: [9, 22]
Generated Node #0,1,0: 31:[9, 22] Operation: 66-44=22
Moving to Node #0,1,0
Current State: 31:[9, 22], Operations: ['88/2=44', '66-44=22']
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
42,
14,
50,
33
] | 27 | [
"42+14=56",
"50+33=83",
"83-56=27"
] | Current State: 27:[42, 14, 50, 33], Operations: []
Exploring Operation: 42+14=56, Resulting Numbers: [50, 33, 56]
Generated Node #2: [50, 33, 56] from Operation: 42+14=56
Current State: 27:[50, 33, 56], Operations: ['42+14=56']
Exploring Operation: 50+33=83, Resulting Numbers: [56, 83]
Generated Node #3: [56, 83] from Operation: 50+33=83
Current State: 27:[56, 83], Operations: ['42+14=56', '50+33=83']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[42, 14, 50, 33], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [42, 14, 17]
Generated Node #0,0: 27:[42, 14, 17] Operation: 50-33=17
Exploring Operation: 42-14=28, Resulting Numbers: [50, 33, 28]
Generated Node #0,1: 27:[50, 33, 28] Operation: 42-14=28
Exploring Operation: 50-42=8, Resulting Numbers: [14, 33, 8]
Generated Node #0,2: 27:[14, 33, 8] Operation: 50-42=8
Exploring Operation: 42-33=9, Resulting Numbers: [14, 50, 9]
Generated Node #0,3: 27:[14, 50, 9] Operation: 42-33=9
Exploring Operation: 42/14=3, Resulting Numbers: [50, 33, 3]
Generated Node #0,4: 27:[50, 33, 3] Operation: 42/14=3
Moving to Node #0,2
Current State: 27:[14, 33, 8], Operations: ['50-42=8']
Exploring Operation: 33+8=41, Resulting Numbers: [14, 41]
Generated Node #0,2,0: 27:[14, 41] Operation: 33+8=41
Exploring Operation: 33-8=25, Resulting Numbers: [14, 25]
Generated Node #0,2,1: 27:[14, 25] Operation: 33-8=25
Exploring Operation: 14+8=22, Resulting Numbers: [33, 22]
Generated Node #0,2,2: 27:[33, 22] Operation: 14+8=22
Exploring Operation: 14-8=6, Resulting Numbers: [33, 6]
Generated Node #0,2,3: 27:[33, 6] Operation: 14-8=6
Exploring Operation: 33-14=19, Resulting Numbers: [8, 19]
Generated Node #0,2,4: 27:[8, 19] Operation: 33-14=19
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 27:[14, 25], Operations: ['50-42=8', '33-8=25']
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,27 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 27:[33, 6], Operations: ['50-42=8', '14-8=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[42, 14, 50, 33], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [14, 33, 8]
Generated Node #0,2: 27:[14, 33, 8] Operation: 50-42=8
Moving to Node #0,2
Current State: 27:[14, 33, 8], Operations: ['50-42=8']
Exploring Operation: 14-8=6, Resulting Numbers: [33, 6]
Generated Node #0,2,3: 27:[33, 6] Operation: 14-8=6
Moving to Node #0,2,3
Current State: 27:[33, 6], Operations: ['50-42=8', '14-8=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
25,
5,
49,
85
] | 61 | [
"85-25=60",
"60/5=12",
"49+12=61"
] | Current State: 61:[25, 5, 49, 85], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [5, 49, 60]
Generated Node #2: [5, 49, 60] from Operation: 85-25=60
Current State: 61:[5, 49, 60], Operations: ['85-25=60']
Exploring Operation: 60/5=12, Resulting Numbers: [49, 12]
Generated Node #3: [49, 12] from Operation: 60/5=12
Current State: 61:[49, 12], Operations: ['85-25=60', '60/5=12']
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[25, 5, 49, 85], Operations: []
Exploring Operation: 25+5=30, Resulting Numbers: [49, 85, 30]
Generated Node #0,0: 61:[49, 85, 30] Operation: 25+5=30
Moving to Node #0,0
Current State: 61:[49, 85, 30], Operations: ['25+5=30']
Exploring Operation: 85-30=55, Resulting Numbers: [49, 55]
Generated Node #0,0,0: 61:[49, 55] Operation: 85-30=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[49, 55], Operations: ['25+5=30', '85-30=55']
Exploring Operation: 49+55=104, Resulting Numbers: [104]
104,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
70,
53,
9,
31
] | 72 | [
"53+9=62",
"62/31=2",
"70+2=72"
] | Current State: 72:[70, 53, 9, 31], Operations: []
Exploring Operation: 53+9=62, Resulting Numbers: [70, 31, 62]
Generated Node #2: [70, 31, 62] from Operation: 53+9=62
Current State: 72:[70, 31, 62], Operations: ['53+9=62']
Exploring Operation: 62/31=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 62/31=2
Current State: 72:[70, 2], Operations: ['53+9=62', '62/31=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[70, 53, 9, 31], Operations: []
Exploring Operation: 70-53=17, Resulting Numbers: [9, 31, 17]
Generated Node #0,0: 72:[9, 31, 17] Operation: 70-53=17
Exploring Operation: 53-31=22, Resulting Numbers: [70, 9, 22]
Generated Node #0,1: 72:[70, 9, 22] Operation: 53-31=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[70, 9, 22], Operations: ['53-31=22']
Exploring Operation: 9+22=31, Resulting Numbers: [70, 31]
Generated Node #0,1,0: 72:[70, 31] Operation: 9+22=31
Exploring Operation: 22-9=13, Resulting Numbers: [70, 13]
Generated Node #0,1,1: 72:[70, 13] Operation: 22-9=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 72:[70, 13], Operations: ['53-31=22', '22-9=13']
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 72:[70, 31], Operations: ['53-31=22', '9+22=31']
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[9, 31, 17], Operations: ['70-53=17']
Exploring Operation: 31-17=14, Resulting Numbers: [9, 14]
Generated Node #0,0,0: 72:[9, 14] Operation: 31-17=14
Exploring Operation: 31-9=22, Resulting Numbers: [17, 22]
Generated Node #0,0,1: 72:[17, 22] Operation: 31-9=22
Moving to Node #0,0,0
Current State: 72:[9, 14], Operations: ['70-53=17', '31-17=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[17, 22], Operations: ['70-53=17', '31-9=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
57,
23,
2,
76
] | 42 | [
"57+23=80",
"76/2=38",
"80-38=42"
] | Current State: 42:[57, 23, 2, 76], Operations: []
Exploring Operation: 57+23=80, Resulting Numbers: [2, 76, 80]
Generated Node #2: [2, 76, 80] from Operation: 57+23=80
Current State: 42:[2, 76, 80], Operations: ['57+23=80']
Exploring Operation: 76/2=38, Resulting Numbers: [80, 38]
Generated Node #3: [80, 38] from Operation: 76/2=38
Current State: 42:[80, 38], Operations: ['57+23=80', '76/2=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[57, 23, 2, 76], Operations: []
Exploring Operation: 76-57=19, Resulting Numbers: [23, 2, 19]
Generated Node #0,0: 42:[23, 2, 19] Operation: 76-57=19
Exploring Operation: 76/2=38, Resulting Numbers: [57, 23, 38]
Generated Node #0,1: 42:[57, 23, 38] Operation: 76/2=38
Exploring Operation: 76-23=53, Resulting Numbers: [57, 2, 53]
Generated Node #0,2: 42:[57, 2, 53] Operation: 76-23=53
Moving to Node #0,0
Current State: 42:[23, 2, 19], Operations: ['76-57=19']
Exploring Operation: 23-2=21, Resulting Numbers: [19, 21]
Generated Node #0,0,0: 42:[19, 21] Operation: 23-2=21
Exploring Operation: 23+19=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 42:[2, 42] Operation: 23+19=42
Exploring Operation: 23-19=4, Resulting Numbers: [2, 4]
Generated Node #0,0,2: 42:[2, 4] Operation: 23-19=4
Moving to Node #0,1
Current State: 42:[57, 23, 38], Operations: ['76/2=38']
Exploring Operation: 57-38=19, Resulting Numbers: [23, 19]
Generated Node #0,1,0: 42:[23, 19] Operation: 57-38=19
Exploring Operation: 38-23=15, Resulting Numbers: [57, 15]
Generated Node #0,1,1: 42:[57, 15] Operation: 38-23=15
Exploring Operation: 57-23=34, Resulting Numbers: [38, 34]
Generated Node #0,1,2: 42:[38, 34] Operation: 57-23=34
Moving to Node #0,2
Current State: 42:[57, 2, 53], Operations: ['76-23=53']
Exploring Operation: 57-2=55, Resulting Numbers: [53, 55]
Generated Node #0,2,0: 42:[53, 55] Operation: 57-2=55
Exploring Operation: 57-53=4, Resulting Numbers: [2, 4]
Generated Node #0,2,1: 42:[2, 4] Operation: 57-53=4
Exploring Operation: 53-2=51, Resulting Numbers: [57, 51]
Generated Node #0,2,2: 42:[57, 51] Operation: 53-2=51
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[2, 4], Operations: ['76-23=53', '57-53=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,42 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 #0,2,0
Current State: 42:[53, 55], Operations: ['76-23=53', '57-2=55']
Exploring Operation: 53+55=108, Resulting Numbers: [108]
108,42 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 53*55=2915, Resulting Numbers: [2915]
2915,42 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 #0,2,2
Current State: 42:[57, 51], Operations: ['76-23=53', '53-2=51']
Exploring Operation: 57+51=108, Resulting Numbers: [108]
108,42 unequal: No Solution
Exploring Operation: 57*51=2907, Resulting Numbers: [2907]
2907,42 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,42 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: 42:[2, 42], Operations: ['76-57=19', '23+19=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[2, 4], Operations: ['76-57=19', '23-19=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[19, 21], Operations: ['76-57=19', '23-2=21']
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,42 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[23, 19], Operations: ['76/2=38', '57-38=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,42 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[57, 23, 2, 76], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [57, 23, 38]
Generated Node #0,1: 42:[57, 23, 38] Operation: 76/2=38
Moving to Node #0,1
Current State: 42:[57, 23, 38], Operations: ['76/2=38']
Exploring Operation: 57-38=19, Resulting Numbers: [23, 19]
Generated Node #0,1,0: 42:[23, 19] Operation: 57-38=19
Moving to Node #0,1,0
Current State: 42:[23, 19], Operations: ['76/2=38', '57-38=19']
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.96875 | hs_3 | mult_heuristic |
[
9,
61,
64,
33
] | 21 | [
"61-9=52",
"64-33=31",
"52-31=21"
] | Current State: 21:[9, 61, 64, 33], Operations: []
Exploring Operation: 61-9=52, Resulting Numbers: [64, 33, 52]
Generated Node #2: [64, 33, 52] from Operation: 61-9=52
Current State: 21:[64, 33, 52], Operations: ['61-9=52']
Exploring Operation: 64-33=31, Resulting Numbers: [52, 31]
Generated Node #3: [52, 31] from Operation: 64-33=31
Current State: 21:[52, 31], Operations: ['61-9=52', '64-33=31']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[9, 61, 64, 33], Operations: []
Exploring Operation: 61-33=28, Resulting Numbers: [9, 64, 28]
Generated Node #0,0: 21:[9, 64, 28] Operation: 61-33=28
Exploring Operation: 64-61=3, Resulting Numbers: [9, 33, 3]
Generated Node #0,1: 21:[9, 33, 3] Operation: 64-61=3
Moving to Node #0,1
Current State: 21:[9, 33, 3], Operations: ['64-61=3']
Exploring Operation: 33/3=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 21:[9, 11] Operation: 33/3=11
Exploring Operation: 33-9=24, Resulting Numbers: [3, 24]
Generated Node #0,1,1: 21:[3, 24] Operation: 33-9=24
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[3, 24], Operations: ['64-61=3', '33-9=24']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[9, 61, 64, 33], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [9, 33, 3]
Generated Node #0,1: 21:[9, 33, 3] Operation: 64-61=3
Moving to Node #0,1
Current State: 21:[9, 33, 3], Operations: ['64-61=3']
Exploring Operation: 33-9=24, Resulting Numbers: [3, 24]
Generated Node #0,1,1: 21:[3, 24] Operation: 33-9=24
Moving to Node #0,1,1
Current State: 21:[3, 24], Operations: ['64-61=3', '33-9=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
18,
59,
14,
69
] | 22 | [
"18+59=77",
"69-14=55",
"77-55=22"
] | Current State: 22:[18, 59, 14, 69], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [14, 69, 77]
Generated Node #2: [14, 69, 77] from Operation: 18+59=77
Current State: 22:[14, 69, 77], Operations: ['18+59=77']
Exploring Operation: 69-14=55, Resulting Numbers: [77, 55]
Generated Node #3: [77, 55] from Operation: 69-14=55
Current State: 22:[77, 55], Operations: ['18+59=77', '69-14=55']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[18, 59, 14, 69], Operations: []
Exploring Operation: 69-14=55, Resulting Numbers: [18, 59, 55]
Generated Node #0,0: 22:[18, 59, 55] Operation: 69-14=55
Exploring Operation: 59-18=41, Resulting Numbers: [14, 69, 41]
Generated Node #0,1: 22:[14, 69, 41] Operation: 59-18=41
Exploring Operation: 59-14=45, Resulting Numbers: [18, 69, 45]
Generated Node #0,2: 22:[18, 69, 45] Operation: 59-14=45
Exploring Operation: 69-59=10, Resulting Numbers: [18, 14, 10]
Generated Node #0,3: 22:[18, 14, 10] Operation: 69-59=10
Exploring Operation: 69-18=51, Resulting Numbers: [59, 14, 51]
Generated Node #0,4: 22:[59, 14, 51] Operation: 69-18=51
Start Sub Search at level 1: Moving to Node #0,3
Current State: 22:[18, 14, 10], Operations: ['69-59=10']
Exploring Operation: 18-14=4, Resulting Numbers: [10, 4]
Generated Node #0,3,0: 22:[10, 4] Operation: 18-14=4
Exploring Operation: 14+10=24, Resulting Numbers: [18, 24]
Generated Node #0,3,1: 22:[18, 24] Operation: 14+10=24
Exploring Operation: 18+10=28, Resulting Numbers: [14, 28]
Generated Node #0,3,2: 22:[14, 28] Operation: 18+10=28
Exploring Operation: 14-10=4, Resulting Numbers: [18, 4]
Generated Node #0,3,3: 22:[18, 4] Operation: 14-10=4
Exploring Operation: 18-10=8, Resulting Numbers: [14, 8]
Generated Node #0,3,4: 22:[14, 8] Operation: 18-10=8
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 22:[10, 4], Operations: ['69-59=10', '18-14=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,22 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 #0,3,1
Current State: 22:[18, 24], Operations: ['69-59=10', '14+10=24']
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,22 unequal: No Solution
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,22 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 #0,3,3
Current State: 22:[18, 4], Operations: ['69-59=10', '14-10=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,22 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[18, 59, 14, 69], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [18, 14, 10]
Generated Node #0,3: 22:[18, 14, 10] Operation: 69-59=10
Moving to Node #0,3
Current State: 22:[18, 14, 10], Operations: ['69-59=10']
Exploring Operation: 14-10=4, Resulting Numbers: [18, 4]
Generated Node #0,3,3: 22:[18, 4] Operation: 14-10=4
Moving to Node #0,3,3
Current State: 22:[18, 4], Operations: ['69-59=10', '14-10=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
66,
42,
21,
9
] | 54 | [
"66-42=24",
"21+9=30",
"24+30=54"
] | Current State: 54:[66, 42, 21, 9], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [21, 9, 24]
Generated Node #2: [21, 9, 24] from Operation: 66-42=24
Current State: 54:[21, 9, 24], Operations: ['66-42=24']
Exploring Operation: 21+9=30, Resulting Numbers: [24, 30]
Generated Node #3: [24, 30] from Operation: 21+9=30
Current State: 54:[24, 30], Operations: ['66-42=24', '21+9=30']
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[66, 42, 21, 9], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [66, 9, 2]
Generated Node #0,0: 54:[66, 9, 2] Operation: 42/21=2
Exploring Operation: 66-42=24, Resulting Numbers: [21, 9, 24]
Generated Node #0,1: 54:[21, 9, 24] Operation: 66-42=24
Exploring Operation: 42-21=21, Resulting Numbers: [66, 9, 21]
Generated Node #0,2: 54:[66, 9, 21] Operation: 42-21=21
Moving to Node #0,1
Current State: 54:[21, 9, 24], Operations: ['66-42=24']
Exploring Operation: 24-21=3, Resulting Numbers: [9, 3]
Generated Node #0,1,0: 54:[9, 3] Operation: 24-21=3
Exploring Operation: 21+9=30, Resulting Numbers: [24, 30]
Generated Node #0,1,1: 54:[24, 30] Operation: 21+9=30
Exploring Operation: 21-9=12, Resulting Numbers: [24, 12]
Generated Node #0,1,2: 54:[24, 12] Operation: 21-9=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[9, 3], Operations: ['66-42=24', '24-21=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[24, 30], Operations: ['66-42=24', '21+9=30']
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,54 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[66, 42, 21, 9], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [21, 9, 24]
Generated Node #0,1: 54:[21, 9, 24] Operation: 66-42=24
Moving to Node #0,1
Current State: 54:[21, 9, 24], Operations: ['66-42=24']
Exploring Operation: 21+9=30, Resulting Numbers: [24, 30]
Generated Node #0,1,1: 54:[24, 30] Operation: 21+9=30
Moving to Node #0,1,1
Current State: 54:[24, 30], Operations: ['66-42=24', '21+9=30']
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
93,
13,
17,
27
] | 15 | [
"17-13=4",
"27*4=108",
"108-93=15"
] | Current State: 15:[93, 13, 17, 27], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [93, 27, 4]
Generated Node #2: [93, 27, 4] from Operation: 17-13=4
Current State: 15:[93, 27, 4], Operations: ['17-13=4']
Exploring Operation: 27*4=108, Resulting Numbers: [93, 108]
Generated Node #3: [93, 108] from Operation: 27*4=108
Current State: 15:[93, 108], Operations: ['17-13=4', '27*4=108']
Exploring Operation: 108-93=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[93, 13, 17, 27], Operations: []
Exploring Operation: 93-17=76, Resulting Numbers: [13, 27, 76]
Generated Node #0,0: 15:[13, 27, 76] Operation: 93-17=76
Exploring Operation: 93-27=66, Resulting Numbers: [13, 17, 66]
Generated Node #0,1: 15:[13, 17, 66] Operation: 93-27=66
Exploring Operation: 93-13=80, Resulting Numbers: [17, 27, 80]
Generated Node #0,2: 15:[17, 27, 80] Operation: 93-13=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[13, 17, 66], Operations: ['93-27=66']
Exploring Operation: 66-17=49, Resulting Numbers: [13, 49]
Generated Node #0,1,0: 15:[13, 49] Operation: 66-17=49
Exploring Operation: 17-13=4, Resulting Numbers: [66, 4]
Generated Node #0,1,1: 15:[66, 4] Operation: 17-13=4
Exploring Operation: 66-13=53, Resulting Numbers: [17, 53]
Generated Node #0,1,2: 15:[17, 53] Operation: 66-13=53
Moving to Node #0,1,0
Current State: 15:[13, 49], Operations: ['93-27=66', '66-17=49']
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,15 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[17, 53], Operations: ['93-27=66', '66-13=53']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 17*53=901, Resulting Numbers: [901]
901,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[66, 4], Operations: ['93-27=66', '17-13=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,15 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[13, 27, 76], Operations: ['93-17=76']
Exploring Operation: 76-27=49, Resulting Numbers: [13, 49]
Generated Node #0,0,0: 15:[13, 49] Operation: 76-27=49
Exploring Operation: 76-13=63, Resulting Numbers: [27, 63]
Generated Node #0,0,1: 15:[27, 63] Operation: 76-13=63
Exploring Operation: 27-13=14, Resulting Numbers: [76, 14]
Generated Node #0,0,2: 15:[76, 14] Operation: 27-13=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[13, 49], Operations: ['93-17=76', '76-27=49']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,15 unequal: No Solution
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,15 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:[27, 63], Operations: ['93-17=76', '76-13=63']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 27*63=1701, Resulting Numbers: [1701]
1701,15 unequal: No Solution
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,15 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 #0,0,2
Current State: 15:[76, 14], Operations: ['93-17=76', '27-13=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,15 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,15 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 #0,2
Current State: 15:[17, 27, 80], Operations: ['93-13=80']
Exploring Operation: 80-17=63, Resulting Numbers: [27, 63]
Generated Node #0,2,0: 15:[27, 63] Operation: 80-17=63
Exploring Operation: 27-17=10, Resulting Numbers: [80, 10]
Generated Node #0,2,1: 15:[80, 10] Operation: 27-17=10
Exploring Operation: 80-27=53, Resulting Numbers: [17, 53]
Generated Node #0,2,2: 15:[17, 53] Operation: 80-27=53
Moving to Node #0,2,2
Current State: 15:[17, 53], Operations: ['93-13=80', '80-27=53']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 17*53=901, Resulting Numbers: [901]
901,15 unequal: No Solution
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[27, 63], Operations: ['93-13=80', '80-17=63']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 27*63=1701, Resulting Numbers: [1701]
1701,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[80, 10], Operations: ['93-13=80', '27-17=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
60,
33,
47,
46
] | 92 | [
"60+33=93",
"47-46=1",
"93-1=92"
] | Current State: 92:[60, 33, 47, 46], Operations: []
Exploring Operation: 60+33=93, Resulting Numbers: [47, 46, 93]
Generated Node #2: [47, 46, 93] from Operation: 60+33=93
Current State: 92:[47, 46, 93], Operations: ['60+33=93']
Exploring Operation: 47-46=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 47-46=1
Current State: 92:[93, 1], Operations: ['60+33=93', '47-46=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[60, 33, 47, 46], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [47, 46, 27]
Generated Node #0,0: 92:[47, 46, 27] Operation: 60-33=27
Exploring Operation: 60-47=13, Resulting Numbers: [33, 46, 13]
Generated Node #0,1: 92:[33, 46, 13] Operation: 60-47=13
Exploring Operation: 60+33=93, Resulting Numbers: [47, 46, 93]
Generated Node #0,2: 92:[47, 46, 93] Operation: 60+33=93
Moving to Node #0,2
Current State: 92:[47, 46, 93], Operations: ['60+33=93']
Exploring Operation: 47+46=93, Resulting Numbers: [93, 93]
Generated Node #0,2,0: 92:[93, 93] Operation: 47+46=93
Exploring Operation: 47-46=1, Resulting Numbers: [93, 1]
Generated Node #0,2,1: 92:[93, 1] Operation: 47-46=1
Exploring Operation: 93-47=46, Resulting Numbers: [46, 46]
Generated Node #0,2,2: 92:[46, 46] Operation: 93-47=46
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[46, 46], Operations: ['60+33=93', '93-47=46']
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[60, 33, 47, 46], Operations: []
Exploring Operation: 60+33=93, Resulting Numbers: [47, 46, 93]
Generated Node #0,2: 92:[47, 46, 93] Operation: 60+33=93
Moving to Node #0,2
Current State: 92:[47, 46, 93], Operations: ['60+33=93']
Exploring Operation: 93-47=46, Resulting Numbers: [46, 46]
Generated Node #0,2,2: 92:[46, 46] Operation: 93-47=46
Moving to Node #0,2,2
Current State: 92:[46, 46], Operations: ['60+33=93', '93-47=46']
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
18,
90,
29,
84
] | 79 | [
"90-84=6",
"18*6=108",
"108-29=79"
] | Current State: 79:[18, 90, 29, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [18, 29, 6]
Generated Node #2: [18, 29, 6] from Operation: 90-84=6
Current State: 79:[18, 29, 6], Operations: ['90-84=6']
Exploring Operation: 18*6=108, Resulting Numbers: [29, 108]
Generated Node #3: [29, 108] from Operation: 18*6=108
Current State: 79:[29, 108], Operations: ['90-84=6', '18*6=108']
Exploring Operation: 108-29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[18, 90, 29, 84], Operations: []
Exploring Operation: 18+29=47, Resulting Numbers: [90, 84, 47]
Generated Node #0,0: 79:[90, 84, 47] Operation: 18+29=47
Exploring Operation: 90-18=72, Resulting Numbers: [29, 84, 72]
Generated Node #0,1: 79:[29, 84, 72] Operation: 90-18=72
Moving to Node #0,0
Current State: 79:[90, 84, 47], Operations: ['18+29=47']
Exploring Operation: 90-47=43, Resulting Numbers: [84, 43]
Generated Node #0,0,0: 79:[84, 43] Operation: 90-47=43
Exploring Operation: 84-47=37, Resulting Numbers: [90, 37]
Generated Node #0,0,1: 79:[90, 37] Operation: 84-47=37
Moving to Node #0,1
Current State: 79:[29, 84, 72], Operations: ['90-18=72']
Exploring Operation: 29+72=101, Resulting Numbers: [84, 101]
Generated Node #0,1,0: 79:[84, 101] Operation: 29+72=101
Exploring Operation: 84-29=55, Resulting Numbers: [72, 55]
Generated Node #0,1,1: 79:[72, 55] Operation: 84-29=55
Moving to Node #0,1,0
Current State: 79:[84, 101], Operations: ['90-18=72', '29+72=101']
Exploring Operation: 84+101=185, Resulting Numbers: [185]
185,79 unequal: No Solution
Exploring Operation: 101-84=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[72, 55], Operations: ['90-18=72', '84-29=55']
Exploring Operation: 72+55=127, Resulting Numbers: [127]
127,79 unequal: No Solution
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[84, 43], Operations: ['18+29=47', '90-47=43']
Exploring Operation: 84+43=127, Resulting Numbers: [127]
127,79 unequal: No Solution
Exploring Operation: 84-43=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[90, 37], Operations: ['18+29=47', '84-47=37']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,79 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
60,
46,
5
] | 91 | [
"33+46=79",
"60/5=12",
"79+12=91"
] | Current State: 91:[33, 60, 46, 5], Operations: []
Exploring Operation: 33+46=79, Resulting Numbers: [60, 5, 79]
Generated Node #2: [60, 5, 79] from Operation: 33+46=79
Current State: 91:[60, 5, 79], Operations: ['33+46=79']
Exploring Operation: 60/5=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 60/5=12
Current State: 91:[79, 12], Operations: ['33+46=79', '60/5=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[33, 60, 46, 5], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [33, 5, 14]
Generated Node #0,0: 91:[33, 5, 14] Operation: 60-46=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[33, 5, 14], Operations: ['60-46=14']
Exploring Operation: 33-14=19, Resulting Numbers: [5, 19]
Generated Node #0,0,0: 91:[5, 19] Operation: 33-14=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[5, 19], Operations: ['60-46=14', '33-14=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
59,
60,
6,
86
] | 79 | [
"60-59=1",
"86-6=80",
"80-1=79"
] | Current State: 79:[59, 60, 6, 86], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [6, 86, 1]
Generated Node #2: [6, 86, 1] from Operation: 60-59=1
Current State: 79:[6, 86, 1], Operations: ['60-59=1']
Exploring Operation: 86-6=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 86-6=80
Current State: 79:[1, 80], Operations: ['60-59=1', '86-6=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[59, 60, 6, 86], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [59, 60, 80]
Generated Node #0,0: 79:[59, 60, 80] Operation: 86-6=80
Exploring Operation: 59-6=53, Resulting Numbers: [60, 86, 53]
Generated Node #0,1: 79:[60, 86, 53] Operation: 59-6=53
Exploring Operation: 59+6=65, Resulting Numbers: [60, 86, 65]
Generated Node #0,2: 79:[60, 86, 65] Operation: 59+6=65
Exploring Operation: 60+6=66, Resulting Numbers: [59, 86, 66]
Generated Node #0,3: 79:[59, 86, 66] Operation: 60+6=66
Moving to Node #0,0
Current State: 79:[59, 60, 80], Operations: ['86-6=80']
Exploring Operation: 80-59=21, Resulting Numbers: [60, 21]
Generated Node #0,0,0: 79:[60, 21] Operation: 80-59=21
Exploring Operation: 60-59=1, Resulting Numbers: [80, 1]
Generated Node #0,0,1: 79:[80, 1] Operation: 60-59=1
Exploring Operation: 59+60=119, Resulting Numbers: [80, 119]
Generated Node #0,0,2: 79:[80, 119] Operation: 59+60=119
Exploring Operation: 59+80=139, Resulting Numbers: [60, 139]
Generated Node #0,0,3: 79:[60, 139] Operation: 59+80=139
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[80, 119], Operations: ['86-6=80', '59+60=119']
Exploring Operation: 119-80=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 80*119=9520, Resulting Numbers: [9520]
9520,79 unequal: No Solution
Exploring Operation: 80+119=199, Resulting Numbers: [199]
199,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[60, 21], Operations: ['86-6=80', '80-59=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,79 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[80, 1], Operations: ['86-6=80', '60-59=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[59, 60, 6, 86], Operations: []
Exploring Operation: 86-6=80, Resulting Numbers: [59, 60, 80]
Generated Node #0,0: 79:[59, 60, 80] Operation: 86-6=80
Moving to Node #0,0
Current State: 79:[59, 60, 80], Operations: ['86-6=80']
Exploring Operation: 60-59=1, Resulting Numbers: [80, 1]
Generated Node #0,0,1: 79:[80, 1] Operation: 60-59=1
Moving to Node #0,0,1
Current State: 79:[80, 1], Operations: ['86-6=80', '60-59=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
41,
65,
54,
75
] | 80 | [
"54-41=13",
"65/13=5",
"75+5=80"
] | Current State: 80:[41, 65, 54, 75], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [65, 75, 13]
Generated Node #2: [65, 75, 13] from Operation: 54-41=13
Current State: 80:[65, 75, 13], Operations: ['54-41=13']
Exploring Operation: 65/13=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 65/13=5
Current State: 80:[75, 5], Operations: ['54-41=13', '65/13=5']
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[41, 65, 54, 75], Operations: []
Exploring Operation: 65-41=24, Resulting Numbers: [54, 75, 24]
Generated Node #0,0: 80:[54, 75, 24] Operation: 65-41=24
Exploring Operation: 65-54=11, Resulting Numbers: [41, 75, 11]
Generated Node #0,1: 80:[41, 75, 11] Operation: 65-54=11
Exploring Operation: 75-54=21, Resulting Numbers: [41, 65, 21]
Generated Node #0,2: 80:[41, 65, 21] Operation: 75-54=21
Exploring Operation: 75-65=10, Resulting Numbers: [41, 54, 10]
Generated Node #0,3: 80:[41, 54, 10] Operation: 75-65=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[41, 75, 11], Operations: ['65-54=11']
Exploring Operation: 75+11=86, Resulting Numbers: [41, 86]
Generated Node #0,1,0: 80:[41, 86] Operation: 75+11=86
Exploring Operation: 75-41=34, Resulting Numbers: [11, 34]
Generated Node #0,1,1: 80:[11, 34] Operation: 75-41=34
Exploring Operation: 41+11=52, Resulting Numbers: [75, 52]
Generated Node #0,1,2: 80:[75, 52] Operation: 41+11=52
Exploring Operation: 41-11=30, Resulting Numbers: [75, 30]
Generated Node #0,1,3: 80:[75, 30] Operation: 41-11=30
Moving to Node #0,1,0
Current State: 80:[41, 86], Operations: ['65-54=11', '75+11=86']
Exploring Operation: 41+86=127, Resulting Numbers: [127]
127,80 unequal: No Solution
Exploring Operation: 41*86=3526, Resulting Numbers: [3526]
3526,80 unequal: No Solution
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[11, 34], Operations: ['65-54=11', '75-41=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,80 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[75, 30], Operations: ['65-54=11', '41-11=30']
Exploring Operation: 75*30=2250, Resulting Numbers: [2250]
2250,80 unequal: No Solution
Exploring Operation: 75+30=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[75, 52], Operations: ['65-54=11', '41+11=52']
Exploring Operation: 75+52=127, Resulting Numbers: [127]
127,80 unequal: No Solution
Exploring Operation: 75*52=3900, Resulting Numbers: [3900]
3900,80 unequal: No Solution
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[41, 54, 10], Operations: ['75-65=10']
Exploring Operation: 54+10=64, Resulting Numbers: [41, 64]
Generated Node #0,3,0: 80:[41, 64] Operation: 54+10=64
Exploring Operation: 54-41=13, Resulting Numbers: [10, 13]
Generated Node #0,3,1: 80:[10, 13] Operation: 54-41=13
Exploring Operation: 54-10=44, Resulting Numbers: [41, 44]
Generated Node #0,3,2: 80:[41, 44] Operation: 54-10=44
Exploring Operation: 41+54=95, Resulting Numbers: [10, 95]
Generated Node #0,3,3: 80:[10, 95] Operation: 41+54=95
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 80:[10, 13], Operations: ['75-65=10', '54-41=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,80 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,80 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 #0,3,2
Current State: 80:[41, 44], Operations: ['75-65=10', '54-10=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,80 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,80 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 #0,3,3
Current State: 80:[10, 95], Operations: ['75-65=10', '41+54=95']
Exploring Operation: 10+95=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 10*95=950, Resulting Numbers: [950]
950,80 unequal: No Solution
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,80 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 #0,3,0
Current State: 80:[41, 64], Operations: ['75-65=10', '54+10=64']
Exploring Operation: 41+64=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 41*64=2624, Resulting Numbers: [2624]
2624,80 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 #0,2
Current State: 80:[41, 65, 21], Operations: ['75-54=21']
Exploring Operation: 65-41=24, Resulting Numbers: [21, 24]
Generated Node #0,2,0: 80:[21, 24] Operation: 65-41=24
Exploring Operation: 41-21=20, Resulting Numbers: [65, 20]
Generated Node #0,2,1: 80:[65, 20] Operation: 41-21=20
Exploring Operation: 65+21=86, Resulting Numbers: [41, 86]
Generated Node #0,2,2: 80:[41, 86] Operation: 65+21=86
Exploring Operation: 65-21=44, Resulting Numbers: [41, 44]
Generated Node #0,2,3: 80:[41, 44] Operation: 65-21=44
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[21, 24], Operations: ['75-54=21', '65-41=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,80 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,80 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 #0,2,3
Current State: 80:[41, 44], Operations: ['75-54=21', '65-21=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,80 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,80 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,80 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 #0,2,2
Current State: 80:[41, 86], Operations: ['75-54=21', '65+21=86']
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 41*86=3526, Resulting Numbers: [3526]
3526,80 unequal: No Solution
Exploring Operation: 41+86=127, Resulting Numbers: [127]
127,80 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 #0,2,1
Current State: 80:[65, 20], Operations: ['75-54=21', '41-21=20']
Exploring Operation: 65+20=85, Resulting Numbers: [85]
85,80 unequal: No Solution
Exploring Operation: 65*20=1300, Resulting Numbers: [1300]
1300,80 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,80 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 #0,0
Current State: 80:[54, 75, 24], Operations: ['65-41=24']
Exploring Operation: 54+24=78, Resulting Numbers: [75, 78]
Generated Node #0,0,0: 80:[75, 78] Operation: 54+24=78
Exploring Operation: 75-54=21, Resulting Numbers: [24, 21]
Generated Node #0,0,1: 80:[24, 21] Operation: 75-54=21
Exploring Operation: 75-24=51, Resulting Numbers: [54, 51]
Generated Node #0,0,2: 80:[54, 51] Operation: 75-24=51
Exploring Operation: 54-24=30, Resulting Numbers: [75, 30]
Generated Node #0,0,3: 80:[75, 30] Operation: 54-24=30
Moving to Node #0,0,1
Current State: 80:[24, 21], Operations: ['65-41=24', '75-54=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[75, 78], Operations: ['65-41=24', '54+24=78']
Exploring Operation: 75+78=153, Resulting Numbers: [153]
153,80 unequal: No Solution
Exploring Operation: 75*78=5850, Resulting Numbers: [5850]
5850,80 unequal: No Solution
Exploring Operation: 78-75=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[75, 30], Operations: ['65-41=24', '54-24=30']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 75*30=2250, Resulting Numbers: [2250]
2250,80 unequal: No Solution
Exploring Operation: 75+30=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[54, 51], Operations: ['65-41=24', '75-24=51']
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
94,
2,
83,
75
] | 27 | [
"94+83=177",
"2*75=150",
"177-150=27"
] | Current State: 27:[94, 2, 83, 75], Operations: []
Exploring Operation: 94+83=177, Resulting Numbers: [2, 75, 177]
Generated Node #2: [2, 75, 177] from Operation: 94+83=177
Current State: 27:[2, 75, 177], Operations: ['94+83=177']
Exploring Operation: 2*75=150, Resulting Numbers: [177, 150]
Generated Node #3: [177, 150] from Operation: 2*75=150
Current State: 27:[177, 150], Operations: ['94+83=177', '2*75=150']
Exploring Operation: 177-150=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[94, 2, 83, 75], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [2, 75, 11]
Generated Node #0,0: 27:[2, 75, 11] Operation: 94-83=11
Exploring Operation: 83-75=8, Resulting Numbers: [94, 2, 8]
Generated Node #0,1: 27:[94, 2, 8] Operation: 83-75=8
Exploring Operation: 94-2=92, Resulting Numbers: [83, 75, 92]
Generated Node #0,2: 27:[83, 75, 92] Operation: 94-2=92
Exploring Operation: 94/2=47, Resulting Numbers: [83, 75, 47]
Generated Node #0,3: 27:[83, 75, 47] Operation: 94/2=47
Exploring Operation: 94-75=19, Resulting Numbers: [2, 83, 19]
Generated Node #0,4: 27:[2, 83, 19] Operation: 94-75=19
Moving to Node #0,0
Current State: 27:[2, 75, 11], Operations: ['94-83=11']
Exploring Operation: 75-2=73, Resulting Numbers: [11, 73]
Generated Node #0,0,0: 27:[11, 73] Operation: 75-2=73
Exploring Operation: 75-11=64, Resulting Numbers: [2, 64]
Generated Node #0,0,1: 27:[2, 64] Operation: 75-11=64
Exploring Operation: 2+75=77, Resulting Numbers: [11, 77]
Generated Node #0,0,2: 27:[11, 77] Operation: 2+75=77
Exploring Operation: 11-2=9, Resulting Numbers: [75, 9]
Generated Node #0,0,3: 27:[75, 9] Operation: 11-2=9
Exploring Operation: 2+11=13, Resulting Numbers: [75, 13]
Generated Node #0,0,4: 27:[75, 13] Operation: 2+11=13
Moving to Node #0,4
Current State: 27:[2, 83, 19], Operations: ['94-75=19']
Exploring Operation: 83-2=81, Resulting Numbers: [19, 81]
Generated Node #0,4,0: 27:[19, 81] Operation: 83-2=81
Exploring Operation: 2+19=21, Resulting Numbers: [83, 21]
Generated Node #0,4,1: 27:[83, 21] Operation: 2+19=21
Exploring Operation: 19-2=17, Resulting Numbers: [83, 17]
Generated Node #0,4,2: 27:[83, 17] Operation: 19-2=17
Exploring Operation: 83-19=64, Resulting Numbers: [2, 64]
Generated Node #0,4,3: 27:[2, 64] Operation: 83-19=64
Exploring Operation: 2+83=85, Resulting Numbers: [19, 85]
Generated Node #0,4,4: 27:[19, 85] Operation: 2+83=85
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 27:[2, 64], Operations: ['94-75=19', '83-19=64']
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,27 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,27 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 27:[19, 81], Operations: ['94-75=19', '83-2=81']
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,27 unequal: No Solution
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 27:[83, 21], Operations: ['94-75=19', '2+19=21']
Exploring Operation: 83*21=1743, Resulting Numbers: [1743]
1743,27 unequal: No Solution
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Exploring Operation: 83+21=104, Resulting Numbers: [104]
104,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 27:[83, 17], Operations: ['94-75=19', '19-2=17']
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 83*17=1411, Resulting Numbers: [1411]
1411,27 unequal: No Solution
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 27:[19, 85], Operations: ['94-75=19', '2+83=85']
Exploring Operation: 19+85=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Exploring Operation: 19*85=1615, Resulting Numbers: [1615]
1615,27 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,27 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: 27:[94, 2, 8], Operations: ['83-75=8']
Exploring Operation: 8/2=4, Resulting Numbers: [94, 4]
Generated Node #0,1,0: 27:[94, 4] Operation: 8/2=4
Exploring Operation: 94/2=47, Resulting Numbers: [8, 47]
Generated Node #0,1,1: 27:[8, 47] Operation: 94/2=47
Exploring Operation: 94-8=86, Resulting Numbers: [2, 86]
Generated Node #0,1,2: 27:[2, 86] Operation: 94-8=86
Exploring Operation: 94-2=92, Resulting Numbers: [8, 92]
Generated Node #0,1,3: 27:[8, 92] Operation: 94-2=92
Exploring Operation: 2+8=10, Resulting Numbers: [94, 10]
Generated Node #0,1,4: 27:[94, 10] Operation: 2+8=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[8, 47], Operations: ['83-75=8', '94/2=47']
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,27 unequal: No Solution
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,27 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 27:[2, 86], Operations: ['83-75=8', '94-8=86']
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 2*86=172, Resulting Numbers: [172]
172,27 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 27:[8, 92], Operations: ['83-75=8', '94-2=92']
Exploring Operation: 8*92=736, Resulting Numbers: [736]
736,27 unequal: No Solution
Exploring Operation: 8+92=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 27:[94, 4], Operations: ['83-75=8', '8/2=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,27 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,27 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 27:[94, 10], Operations: ['83-75=8', '2+8=10']
Exploring Operation: 94*10=940, Resulting Numbers: [940]
940,27 unequal: No Solution
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 94+10=104, Resulting Numbers: [104]
104,27 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: 27:[83, 75, 47], Operations: ['94/2=47']
Exploring Operation: 75-47=28, Resulting Numbers: [83, 28]
Generated Node #0,3,0: 27:[83, 28] Operation: 75-47=28
Exploring Operation: 83+75=158, Resulting Numbers: [47, 158]
Generated Node #0,3,1: 27:[47, 158] Operation: 83+75=158
Exploring Operation: 83-75=8, Resulting Numbers: [47, 8]
Generated Node #0,3,2: 27:[47, 8] Operation: 83-75=8
Exploring Operation: 83-47=36, Resulting Numbers: [75, 36]
Generated Node #0,3,3: 27:[75, 36] Operation: 83-47=36
Exploring Operation: 83+47=130, Resulting Numbers: [75, 130]
Generated Node #0,3,4: 27:[75, 130] Operation: 83+47=130
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 27:[47, 8], Operations: ['94/2=47', '83-75=8']
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,27 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,27 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 27:[83, 28], Operations: ['94/2=47', '75-47=28']
Exploring Operation: 83+28=111, Resulting Numbers: [111]
111,27 unequal: No Solution
Exploring Operation: 83*28=2324, Resulting Numbers: [2324]
2324,27 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 27:[75, 36], Operations: ['94/2=47', '83-47=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,27 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 27:[47, 158], Operations: ['94/2=47', '83+75=158']
Exploring Operation: 158-47=111, Resulting Numbers: [111]
111,27 unequal: No Solution
Exploring Operation: 47*158=7426, Resulting Numbers: [7426]
7426,27 unequal: No Solution
Exploring Operation: 47+158=205, Resulting Numbers: [205]
205,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 27:[75, 130], Operations: ['94/2=47', '83+47=130']
Exploring Operation: 130-75=55, Resulting Numbers: [55]
55,27 unequal: No Solution
Exploring Operation: 75+130=205, Resulting Numbers: [205]
205,27 unequal: No Solution
Exploring Operation: 75*130=9750, Resulting Numbers: [9750]
9750,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 27:[83, 75, 92], Operations: ['94-2=92']
Exploring Operation: 83+92=175, Resulting Numbers: [75, 175]
Generated Node #0,2,0: 27:[75, 175] Operation: 83+92=175
Exploring Operation: 92-75=17, Resulting Numbers: [83, 17]
Generated Node #0,2,1: 27:[83, 17] Operation: 92-75=17
Exploring Operation: 83+75=158, Resulting Numbers: [92, 158]
Generated Node #0,2,2: 27:[92, 158] Operation: 83+75=158
Exploring Operation: 92-83=9, Resulting Numbers: [75, 9]
Generated Node #0,2,3: 27:[75, 9] Operation: 92-83=9
Exploring Operation: 83-75=8, Resulting Numbers: [92, 8]
Generated Node #0,2,4: 27:[92, 8] Operation: 83-75=8
Moving to Node #0,0,1
Current State: 27:[2, 64], Operations: ['94-83=11', '75-11=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,27 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,27 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[75, 9], Operations: ['94-83=11', '11-2=9']
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,27 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[75, 9], Operations: ['94-2=92', '92-83=9']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[11, 73], Operations: ['94-83=11', '75-2=73']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Exploring Operation: 11*73=803, Resulting Numbers: [803]
803,27 unequal: No Solution
Exploring Operation: 11+73=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Moving to Node #0,0,4
Current State: 27:[75, 13], Operations: ['94-83=11', '2+11=13']
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,27 unequal: No Solution
Exploring Operation: 75*13=975, Resulting Numbers: [975]
975,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[11, 77], Operations: ['94-83=11', '2+75=77']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 11*77=847, Resulting Numbers: [847]
847,27 unequal: No Solution
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[83, 17], Operations: ['94-2=92', '92-75=17']
Exploring Operation: 83*17=1411, Resulting Numbers: [1411]
1411,27 unequal: No Solution
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Moving to Node #0,2,4
Current State: 27:[92, 8], Operations: ['94-2=92', '83-75=8']
Exploring Operation: 92*8=736, Resulting Numbers: [736]
736,27 unequal: No Solution
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[75, 175], Operations: ['94-2=92', '83+92=175']
Exploring Operation: 175-75=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 75+175=250, Resulting Numbers: [250]
250,27 unequal: No Solution
Exploring Operation: 75*175=13125, Resulting Numbers: [13125]
13125,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[92, 158], Operations: ['94-2=92', '83+75=158']
Exploring Operation: 158-92=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 92*158=14536, Resulting Numbers: [14536]
14536,27 unequal: No Solution
Exploring Operation: 92+158=250, Resulting Numbers: [250]
250,27 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
95,
5,
71,
44
] | 72 | [
"71+44=115",
"115/5=23",
"95-23=72"
] | Current State: 72:[95, 5, 71, 44], Operations: []
Exploring Operation: 71+44=115, Resulting Numbers: [95, 5, 115]
Generated Node #2: [95, 5, 115] from Operation: 71+44=115
Current State: 72:[95, 5, 115], Operations: ['71+44=115']
Exploring Operation: 115/5=23, Resulting Numbers: [95, 23]
Generated Node #3: [95, 23] from Operation: 115/5=23
Current State: 72:[95, 23], Operations: ['71+44=115', '115/5=23']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[95, 5, 71, 44], Operations: []
Exploring Operation: 95-71=24, Resulting Numbers: [5, 44, 24]
Generated Node #0,0: 72:[5, 44, 24] Operation: 95-71=24
Moving to Node #0,0
Current State: 72:[5, 44, 24], Operations: ['95-71=24']
Exploring Operation: 44-5=39, Resulting Numbers: [24, 39]
Generated Node #0,0,0: 72:[24, 39] Operation: 44-5=39
Moving to Node #0,0,0
Current State: 72:[24, 39], Operations: ['95-71=24', '44-5=39']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,72 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
43,
1,
5,
2
] | 92 | [
"43*2=86",
"1+5=6",
"86+6=92"
] | Current State: 92:[43, 1, 5, 2], Operations: []
Exploring Operation: 43*2=86, Resulting Numbers: [1, 5, 86]
Generated Node #2: [1, 5, 86] from Operation: 43*2=86
Current State: 92:[1, 5, 86], Operations: ['43*2=86']
Exploring Operation: 1+5=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 1+5=6
Current State: 92:[86, 6], Operations: ['43*2=86', '1+5=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[43, 1, 5, 2], Operations: []
Exploring Operation: 43+1=44, Resulting Numbers: [5, 2, 44]
Generated Node #0,0: 92:[5, 2, 44] Operation: 43+1=44
Exploring Operation: 43+5=48, Resulting Numbers: [1, 2, 48]
Generated Node #0,1: 92:[1, 2, 48] Operation: 43+5=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[5, 2, 44], Operations: ['43+1=44']
Exploring Operation: 2+44=46, Resulting Numbers: [5, 46]
Generated Node #0,0,0: 92:[5, 46] Operation: 2+44=46
Exploring Operation: 44/2=22, Resulting Numbers: [5, 22]
Generated Node #0,0,1: 92:[5, 22] Operation: 44/2=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[5, 46], Operations: ['43+1=44', '2+44=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[5, 22], Operations: ['43+1=44', '44/2=22']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[1, 2, 48], Operations: ['43+5=48']
Exploring Operation: 48-2=46, Resulting Numbers: [1, 46]
Generated Node #0,1,0: 92:[1, 46] Operation: 48-2=46
Exploring Operation: 48-1=47, Resulting Numbers: [2, 47]
Generated Node #0,1,1: 92:[2, 47] Operation: 48-1=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[1, 46], Operations: ['43+5=48', '48-2=46']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[2, 47], Operations: ['43+5=48', '48-1=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,92 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
22,
7,
73,
36
] | 66 | [
"22+7=29",
"73-36=37",
"29+37=66"
] | Current State: 66:[22, 7, 73, 36], Operations: []
Exploring Operation: 22+7=29, Resulting Numbers: [73, 36, 29]
Generated Node #2: [73, 36, 29] from Operation: 22+7=29
Current State: 66:[73, 36, 29], Operations: ['22+7=29']
Exploring Operation: 73-36=37, Resulting Numbers: [29, 37]
Generated Node #3: [29, 37] from Operation: 73-36=37
Current State: 66:[29, 37], Operations: ['22+7=29', '73-36=37']
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[22, 7, 73, 36], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [7, 73, 14]
Generated Node #0,0: 66:[7, 73, 14] Operation: 36-22=14
Exploring Operation: 73-7=66, Resulting Numbers: [22, 36, 66]
Generated Node #0,1: 66:[22, 36, 66] Operation: 73-7=66
Exploring Operation: 73-36=37, Resulting Numbers: [22, 7, 37]
Generated Node #0,2: 66:[22, 7, 37] Operation: 73-36=37
Moving to Node #0,1
Current State: 66:[22, 36, 66], Operations: ['73-7=66']
Exploring Operation: 66-36=30, Resulting Numbers: [22, 30]
Generated Node #0,1,0: 66:[22, 30] Operation: 66-36=30
Exploring Operation: 66/22=3, Resulting Numbers: [36, 3]
Generated Node #0,1,1: 66:[36, 3] Operation: 66/22=3
Exploring Operation: 36-22=14, Resulting Numbers: [66, 14]
Generated Node #0,1,2: 66:[66, 14] Operation: 36-22=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[22, 30], Operations: ['73-7=66', '66-36=30']
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,66 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[36, 3], Operations: ['73-7=66', '66/22=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[66, 14], Operations: ['73-7=66', '36-22=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,66 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,66 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: 66:[22, 7, 37], Operations: ['73-36=37']
Exploring Operation: 22+7=29, Resulting Numbers: [37, 29]
Generated Node #0,2,0: 66:[37, 29] Operation: 22+7=29
Exploring Operation: 37-7=30, Resulting Numbers: [22, 30]
Generated Node #0,2,1: 66:[22, 30] Operation: 37-7=30
Exploring Operation: 37-22=15, Resulting Numbers: [7, 15]
Generated Node #0,2,2: 66:[7, 15] Operation: 37-22=15
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 66:[22, 30], Operations: ['73-36=37', '37-7=30']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,66 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[7, 15], Operations: ['73-36=37', '37-22=15']
Exploring Operation: 7*15=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[37, 29], Operations: ['73-36=37', '22+7=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[22, 7, 73, 36], Operations: []
Exploring Operation: 73-36=37, Resulting Numbers: [22, 7, 37]
Generated Node #0,2: 66:[22, 7, 37] Operation: 73-36=37
Moving to Node #0,2
Current State: 66:[22, 7, 37], Operations: ['73-36=37']
Exploring Operation: 22+7=29, Resulting Numbers: [37, 29]
Generated Node #0,2,0: 66:[37, 29] Operation: 22+7=29
Moving to Node #0,2,0
Current State: 66:[37, 29], Operations: ['73-36=37', '22+7=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
7,
56,
88,
63
] | 87 | [
"7+56=63",
"63/63=1",
"88-1=87"
] | Current State: 87:[7, 56, 88, 63], Operations: []
Exploring Operation: 7+56=63, Resulting Numbers: [88, 63, 63]
Generated Node #2: [88, 63, 63] from Operation: 7+56=63
Current State: 87:[88, 63, 63], Operations: ['7+56=63']
Exploring Operation: 63/63=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 63/63=1
Current State: 87:[88, 1], Operations: ['7+56=63', '63/63=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[7, 56, 88, 63], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [7, 63, 32]
Generated Node #0,0: 87:[7, 63, 32] Operation: 88-56=32
Exploring Operation: 63-56=7, Resulting Numbers: [7, 88, 7]
Generated Node #0,1: 87:[7, 88, 7] Operation: 63-56=7
Exploring Operation: 63/7=9, Resulting Numbers: [56, 88, 9]
Generated Node #0,2: 87:[56, 88, 9] Operation: 63/7=9
Exploring Operation: 56/7=8, Resulting Numbers: [88, 63, 8]
Generated Node #0,3: 87:[88, 63, 8] Operation: 56/7=8
Exploring Operation: 88-63=25, Resulting Numbers: [7, 56, 25]
Generated Node #0,4: 87:[7, 56, 25] Operation: 88-63=25
Moving to Node #0,1
Current State: 87:[7, 88, 7], Operations: ['63-56=7']
Exploring Operation: 7-7=0, Resulting Numbers: [88, 0]
Generated Node #0,1,0: 87:[88, 0] Operation: 7-7=0
Exploring Operation: 7+88=95, Resulting Numbers: [7, 95]
Generated Node #0,1,1: 87:[7, 95] Operation: 7+88=95
Exploring Operation: 88-7=81, Resulting Numbers: [7, 81]
Generated Node #0,1,2: 87:[7, 81] Operation: 88-7=81
Exploring Operation: 7/7=1, Resulting Numbers: [88, 1]
Generated Node #0,1,3: 87:[88, 1] Operation: 7/7=1
Exploring Operation: 88-7=81, Resulting Numbers: [7, 81]
Generated Node #0,1,4: 87:[7, 81] Operation: 88-7=81
Moving to Node #0,3
Current State: 87:[88, 63, 8], Operations: ['56/7=8']
Exploring Operation: 63+8=71, Resulting Numbers: [88, 71]
Generated Node #0,3,0: 87:[88, 71] Operation: 63+8=71
Exploring Operation: 63-8=55, Resulting Numbers: [88, 55]
Generated Node #0,3,1: 87:[88, 55] Operation: 63-8=55
Exploring Operation: 88-63=25, Resulting Numbers: [8, 25]
Generated Node #0,3,2: 87:[8, 25] Operation: 88-63=25
Exploring Operation: 88/8=11, Resulting Numbers: [63, 11]
Generated Node #0,3,3: 87:[63, 11] Operation: 88/8=11
Exploring Operation: 88-8=80, Resulting Numbers: [63, 80]
Generated Node #0,3,4: 87:[63, 80] Operation: 88-8=80
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 87:[8, 25], Operations: ['56/7=8', '88-63=25']
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,87 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 87:[88, 71], Operations: ['56/7=8', '63+8=71']
Exploring Operation: 88*71=6248, Resulting Numbers: [6248]
6248,87 unequal: No Solution
Exploring Operation: 88+71=159, Resulting Numbers: [159]
159,87 unequal: No Solution
Exploring Operation: 88-71=17, Resulting Numbers: [17]
17,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 87:[88, 55], Operations: ['56/7=8', '63-8=55']
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 88+55=143, Resulting Numbers: [143]
143,87 unequal: No Solution
Exploring Operation: 88*55=4840, Resulting Numbers: [4840]
4840,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 87:[63, 80], Operations: ['56/7=8', '88-8=80']
Exploring Operation: 63*80=5040, Resulting Numbers: [5040]
5040,87 unequal: No Solution
Exploring Operation: 63+80=143, Resulting Numbers: [143]
143,87 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 87:[63, 11], Operations: ['56/7=8', '88/8=11']
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,87 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: 87:[7, 63, 32], Operations: ['88-56=32']
Exploring Operation: 63/7=9, Resulting Numbers: [32, 9]
Generated Node #0,0,0: 87:[32, 9] Operation: 63/7=9
Exploring Operation: 63+32=95, Resulting Numbers: [7, 95]
Generated Node #0,0,1: 87:[7, 95] Operation: 63+32=95
Exploring Operation: 7+63=70, Resulting Numbers: [32, 70]
Generated Node #0,0,2: 87:[32, 70] Operation: 7+63=70
Exploring Operation: 32-7=25, Resulting Numbers: [63, 25]
Generated Node #0,0,3: 87:[63, 25] Operation: 32-7=25
Exploring Operation: 63-32=31, Resulting Numbers: [7, 31]
Generated Node #0,0,4: 87:[7, 31] Operation: 63-32=31
Moving to Node #0,2
Current State: 87:[56, 88, 9], Operations: ['63/7=9']
Exploring Operation: 56-9=47, Resulting Numbers: [88, 47]
Generated Node #0,2,0: 87:[88, 47] Operation: 56-9=47
Exploring Operation: 88-56=32, Resulting Numbers: [9, 32]
Generated Node #0,2,1: 87:[9, 32] Operation: 88-56=32
Exploring Operation: 88-9=79, Resulting Numbers: [56, 79]
Generated Node #0,2,2: 87:[56, 79] Operation: 88-9=79
Exploring Operation: 56+9=65, Resulting Numbers: [88, 65]
Generated Node #0,2,3: 87:[88, 65] Operation: 56+9=65
Exploring Operation: 88+9=97, Resulting Numbers: [56, 97]
Generated Node #0,2,4: 87:[56, 97] Operation: 88+9=97
Moving to Node #0,4
Current State: 87:[7, 56, 25], Operations: ['88-63=25']
Exploring Operation: 56-25=31, Resulting Numbers: [7, 31]
Generated Node #0,4,0: 87:[7, 31] Operation: 56-25=31
Exploring Operation: 56/7=8, Resulting Numbers: [25, 8]
Generated Node #0,4,1: 87:[25, 8] Operation: 56/7=8
Exploring Operation: 7+56=63, Resulting Numbers: [25, 63]
Generated Node #0,4,2: 87:[25, 63] Operation: 7+56=63
Exploring Operation: 56-7=49, Resulting Numbers: [25, 49]
Generated Node #0,4,3: 87:[25, 49] Operation: 56-7=49
Exploring Operation: 56+25=81, Resulting Numbers: [7, 81]
Generated Node #0,4,4: 87:[7, 81] Operation: 56+25=81
Moving to Node #0,1,3
Current State: 87:[88, 1], Operations: ['63-56=7', '7/7=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,87 unequal: No Solution
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[7, 56, 88, 63], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [7, 88, 7]
Generated Node #0,1: 87:[7, 88, 7] Operation: 63-56=7
Moving to Node #0,1
Current State: 87:[7, 88, 7], Operations: ['63-56=7']
Exploring Operation: 7/7=1, Resulting Numbers: [88, 1]
Generated Node #0,1,3: 87:[88, 1] Operation: 7/7=1
Moving to Node #0,1,3
Current State: 87:[88, 1], Operations: ['63-56=7', '7/7=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.955729 | hs_5 | mult_heuristic |
[
51,
2,
79,
73
] | 48 | [
"79-73=6",
"6/2=3",
"51-3=48"
] | Current State: 48:[51, 2, 79, 73], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [51, 2, 6]
Generated Node #2: [51, 2, 6] from Operation: 79-73=6
Current State: 48:[51, 2, 6], Operations: ['79-73=6']
Exploring Operation: 6/2=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 6/2=3
Current State: 48:[51, 3], Operations: ['79-73=6', '6/2=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[51, 2, 79, 73], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [51, 2, 6]
Generated Node #0,0: 48:[51, 2, 6] Operation: 79-73=6
Exploring Operation: 51-2=49, Resulting Numbers: [79, 73, 49]
Generated Node #0,1: 48:[79, 73, 49] Operation: 51-2=49
Exploring Operation: 73-51=22, Resulting Numbers: [2, 79, 22]
Generated Node #0,2: 48:[2, 79, 22] Operation: 73-51=22
Exploring Operation: 79-51=28, Resulting Numbers: [2, 73, 28]
Generated Node #0,3: 48:[2, 73, 28] Operation: 79-51=28
Exploring Operation: 79-2=77, Resulting Numbers: [51, 73, 77]
Generated Node #0,4: 48:[51, 73, 77] Operation: 79-2=77
Moving to Node #0,0
Current State: 48:[51, 2, 6], Operations: ['79-73=6']
Exploring Operation: 6-2=4, Resulting Numbers: [51, 4]
Generated Node #0,0,0: 48:[51, 4] Operation: 6-2=4
Exploring Operation: 2+6=8, Resulting Numbers: [51, 8]
Generated Node #0,0,1: 48:[51, 8] Operation: 2+6=8
Exploring Operation: 51-2=49, Resulting Numbers: [6, 49]
Generated Node #0,0,2: 48:[6, 49] Operation: 51-2=49
Exploring Operation: 51-6=45, Resulting Numbers: [2, 45]
Generated Node #0,0,3: 48:[2, 45] Operation: 51-6=45
Exploring Operation: 2*6=12, Resulting Numbers: [51, 12]
Generated Node #0,0,4: 48:[51, 12] Operation: 2*6=12
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[6, 49], Operations: ['79-73=6', '51-2=49']
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,48 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[51, 4], Operations: ['79-73=6', '6-2=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,48 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No 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: 48:[51, 8], Operations: ['79-73=6', '2+6=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,48 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[2, 45], Operations: ['79-73=6', '51-6=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[51, 12], Operations: ['79-73=6', '2*6=12']
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,48 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,48 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: 48:[2, 73, 28], Operations: ['79-51=28']
Exploring Operation: 73-28=45, Resulting Numbers: [2, 45]
Generated Node #0,3,0: 48:[2, 45] Operation: 73-28=45
Exploring Operation: 28/2=14, Resulting Numbers: [73, 14]
Generated Node #0,3,1: 48:[73, 14] Operation: 28/2=14
Exploring Operation: 2+73=75, Resulting Numbers: [28, 75]
Generated Node #0,3,2: 48:[28, 75] Operation: 2+73=75
Exploring Operation: 28-2=26, Resulting Numbers: [73, 26]
Generated Node #0,3,3: 48:[73, 26] Operation: 28-2=26
Exploring Operation: 73-2=71, Resulting Numbers: [28, 71]
Generated Node #0,3,4: 48:[28, 71] Operation: 73-2=71
Moving to Node #0,2
Current State: 48:[2, 79, 22], Operations: ['73-51=22']
Exploring Operation: 79-2=77, Resulting Numbers: [22, 77]
Generated Node #0,2,0: 48:[22, 77] Operation: 79-2=77
Exploring Operation: 79-22=57, Resulting Numbers: [2, 57]
Generated Node #0,2,1: 48:[2, 57] Operation: 79-22=57
Exploring Operation: 2+22=24, Resulting Numbers: [79, 24]
Generated Node #0,2,2: 48:[79, 24] Operation: 2+22=24
Exploring Operation: 22/2=11, Resulting Numbers: [79, 11]
Generated Node #0,2,3: 48:[79, 11] Operation: 22/2=11
Exploring Operation: 2+79=81, Resulting Numbers: [22, 81]
Generated Node #0,2,4: 48:[22, 81] Operation: 2+79=81
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[2, 57], Operations: ['73-51=22', '79-22=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,48 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[22, 77], Operations: ['73-51=22', '79-2=77']
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,48 unequal: No Solution
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,48 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[79, 24], Operations: ['73-51=22', '2+22=24']
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 79*24=1896, Resulting Numbers: [1896]
1896,48 unequal: No Solution
Exploring Operation: 79+24=103, Resulting Numbers: [103]
103,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[79, 11], Operations: ['73-51=22', '22/2=11']
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,48 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 48:[22, 81], Operations: ['73-51=22', '2+79=81']
Exploring Operation: 22+81=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Exploring Operation: 22*81=1782, Resulting Numbers: [1782]
1782,48 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,48 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: 48:[79, 73, 49], Operations: ['51-2=49']
Exploring Operation: 79+49=128, Resulting Numbers: [73, 128]
Generated Node #0,1,0: 48:[73, 128] Operation: 79+49=128
Exploring Operation: 79+73=152, Resulting Numbers: [49, 152]
Generated Node #0,1,1: 48:[49, 152] Operation: 79+73=152
Exploring Operation: 79-49=30, Resulting Numbers: [73, 30]
Generated Node #0,1,2: 48:[73, 30] Operation: 79-49=30
Exploring Operation: 79-73=6, Resulting Numbers: [49, 6]
Generated Node #0,1,3: 48:[49, 6] Operation: 79-73=6
Exploring Operation: 73-49=24, Resulting Numbers: [79, 24]
Generated Node #0,1,4: 48:[79, 24] Operation: 73-49=24
Moving to Node #0,4
Current State: 48:[51, 73, 77], Operations: ['79-2=77']
Exploring Operation: 77-73=4, Resulting Numbers: [51, 4]
Generated Node #0,4,0: 48:[51, 4] Operation: 77-73=4
Exploring Operation: 77-51=26, Resulting Numbers: [73, 26]
Generated Node #0,4,1: 48:[73, 26] Operation: 77-51=26
Exploring Operation: 51+77=128, Resulting Numbers: [73, 128]
Generated Node #0,4,2: 48:[73, 128] Operation: 51+77=128
Exploring Operation: 51+73=124, Resulting Numbers: [77, 124]
Generated Node #0,4,3: 48:[77, 124] Operation: 51+73=124
Exploring Operation: 73-51=22, Resulting Numbers: [77, 22]
Generated Node #0,4,4: 48:[77, 22] Operation: 73-51=22
Moving to Node #0,1,3
Current State: 48:[49, 6], Operations: ['51-2=49', '79-73=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 49*6=294, Resulting Numbers: [294]
294,48 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[2, 45], Operations: ['79-51=28', '73-28=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[51, 4], Operations: ['79-2=77', '77-73=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[73, 26], Operations: ['79-51=28', '28-2=26']
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,48 unequal: No Solution
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,48 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Moving to Node #0,4,1
Current State: 48:[73, 26], Operations: ['79-2=77', '77-51=26']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,48 unequal: No Solution
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[73, 14], Operations: ['79-51=28', '28/2=14']
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,48 unequal: No Solution
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,48 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[28, 71], Operations: ['79-51=28', '73-2=71']
Exploring Operation: 28*71=1988, Resulting Numbers: [1988]
1988,48 unequal: No Solution
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 28+71=99, Resulting Numbers: [99]
99,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[73, 30], Operations: ['51-2=49', '79-49=30']
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 73+30=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Exploring Operation: 73*30=2190, Resulting Numbers: [2190]
2190,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[77, 22], Operations: ['79-2=77', '73-51=22']
Exploring Operation: 77*22=1694, Resulting Numbers: [1694]
1694,48 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 77+22=99, Resulting Numbers: [99]
99,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[28, 75], Operations: ['79-51=28', '2+73=75']
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 28*75=2100, Resulting Numbers: [2100]
2100,48 unequal: No Solution
Exploring Operation: 28+75=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[79, 24], Operations: ['51-2=49', '73-49=24']
Exploring Operation: 79+24=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Exploring Operation: 79*24=1896, Resulting Numbers: [1896]
1896,48 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,4,3
Current State: 48:[77, 124], Operations: ['79-2=77', '51+73=124']
Exploring Operation: 77+124=201, Resulting Numbers: [201]
201,48 unequal: No Solution
Exploring Operation: 77*124=9548, Resulting Numbers: [9548]
9548,48 unequal: No Solution
Exploring Operation: 124-77=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[73, 128], Operations: ['51-2=49', '79+49=128']
Exploring Operation: 73+128=201, Resulting Numbers: [201]
201,48 unequal: No Solution
Exploring Operation: 73*128=9344, Resulting Numbers: [9344]
9344,48 unequal: No Solution
Exploring Operation: 128-73=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[49, 152], Operations: ['51-2=49', '79+73=152']
Exploring Operation: 49+152=201, Resulting Numbers: [201]
201,48 unequal: No Solution
Exploring Operation: 49*152=7448, Resulting Numbers: [7448]
7448,48 unequal: No Solution
Exploring Operation: 152-49=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Moving to Node #0,4,2
Current State: 48:[73, 128], Operations: ['79-2=77', '51+77=128']
Exploring Operation: 73*128=9344, Resulting Numbers: [9344]
9344,48 unequal: No Solution
Exploring Operation: 73+128=201, Resulting Numbers: [201]
201,48 unequal: No Solution
Exploring Operation: 128-73=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
50,
9,
64,
79
] | 84 | [
"50+9=59",
"64+79=143",
"143-59=84"
] | Current State: 84:[50, 9, 64, 79], Operations: []
Exploring Operation: 50+9=59, Resulting Numbers: [64, 79, 59]
Generated Node #2: [64, 79, 59] from Operation: 50+9=59
Current State: 84:[64, 79, 59], Operations: ['50+9=59']
Exploring Operation: 64+79=143, Resulting Numbers: [59, 143]
Generated Node #3: [59, 143] from Operation: 64+79=143
Current State: 84:[59, 143], Operations: ['50+9=59', '64+79=143']
Exploring Operation: 143-59=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[50, 9, 64, 79], Operations: []
Exploring Operation: 79-50=29, Resulting Numbers: [9, 64, 29]
Generated Node #0,0: 84:[9, 64, 29] Operation: 79-50=29
Exploring Operation: 64-50=14, Resulting Numbers: [9, 79, 14]
Generated Node #0,1: 84:[9, 79, 14] Operation: 64-50=14
Exploring Operation: 79-64=15, Resulting Numbers: [50, 9, 15]
Generated Node #0,2: 84:[50, 9, 15] Operation: 79-64=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[9, 79, 14], Operations: ['64-50=14']
Exploring Operation: 9+14=23, Resulting Numbers: [79, 23]
Generated Node #0,1,0: 84:[79, 23] Operation: 9+14=23
Exploring Operation: 9+79=88, Resulting Numbers: [14, 88]
Generated Node #0,1,1: 84:[14, 88] Operation: 9+79=88
Exploring Operation: 14-9=5, Resulting Numbers: [79, 5]
Generated Node #0,1,2: 84:[79, 5] Operation: 14-9=5
Moving to Node #0,1,1
Current State: 84:[14, 88], Operations: ['64-50=14', '9+79=88']
Exploring Operation: 14+88=102, Resulting Numbers: [102]
102,84 unequal: No Solution
Exploring Operation: 14*88=1232, Resulting Numbers: [1232]
1232,84 unequal: No Solution
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[79, 5], Operations: ['64-50=14', '14-9=5']
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,84 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[50, 9, 64, 79], Operations: []
Exploring Operation: 64-50=14, Resulting Numbers: [9, 79, 14]
Generated Node #0,1: 84:[9, 79, 14] Operation: 64-50=14
Moving to Node #0,1
Current State: 84:[9, 79, 14], Operations: ['64-50=14']
Exploring Operation: 14-9=5, Resulting Numbers: [79, 5]
Generated Node #0,1,2: 84:[79, 5] Operation: 14-9=5
Moving to Node #0,1,2
Current State: 84:[79, 5], Operations: ['64-50=14', '14-9=5']
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
47,
45,
56,
55
] | 91 | [
"47+45=92",
"56-55=1",
"92-1=91"
] | Current State: 91:[47, 45, 56, 55], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [56, 55, 92]
Generated Node #2: [56, 55, 92] from Operation: 47+45=92
Current State: 91:[56, 55, 92], Operations: ['47+45=92']
Exploring Operation: 56-55=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 56-55=1
Current State: 91:[92, 1], Operations: ['47+45=92', '56-55=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[47, 45, 56, 55], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [45, 56, 8]
Generated Node #0,0: 91:[45, 56, 8] Operation: 55-47=8
Moving to Node #0,0
Current State: 91:[45, 56, 8], Operations: ['55-47=8']
Exploring Operation: 56-45=11, Resulting Numbers: [8, 11]
Generated Node #0,0,0: 91:[8, 11] Operation: 56-45=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[8, 11], Operations: ['55-47=8', '56-45=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,91 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 |
[
78,
66,
33,
88
] | 65 | [
"88-33=55",
"78*55=4290",
"4290/66=65"
] | Current State: 65:[78, 66, 33, 88], Operations: []
Exploring Operation: 88-33=55, Resulting Numbers: [78, 66, 55]
Generated Node #2: [78, 66, 55] from Operation: 88-33=55
Current State: 65:[78, 66, 55], Operations: ['88-33=55']
Exploring Operation: 78*55=4290, Resulting Numbers: [66, 4290]
Generated Node #3: [66, 4290] from Operation: 78*55=4290
Current State: 65:[66, 4290], Operations: ['88-33=55', '78*55=4290']
Exploring Operation: 4290/66=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[78, 66, 33, 88], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [78, 88, 2]
Generated Node #0,0: 65:[78, 88, 2] Operation: 66/33=2
Exploring Operation: 88-78=10, Resulting Numbers: [66, 33, 10]
Generated Node #0,1: 65:[66, 33, 10] Operation: 88-78=10
Exploring Operation: 88-33=55, Resulting Numbers: [78, 66, 55]
Generated Node #0,2: 65:[78, 66, 55] Operation: 88-33=55
Moving to Node #0,1
Current State: 65:[66, 33, 10], Operations: ['88-78=10']
Exploring Operation: 66-33=33, Resulting Numbers: [10, 33]
Generated Node #0,1,0: 65:[10, 33] Operation: 66-33=33
Exploring Operation: 33-10=23, Resulting Numbers: [66, 23]
Generated Node #0,1,1: 65:[66, 23] Operation: 33-10=23
Exploring Operation: 66/33=2, Resulting Numbers: [10, 2]
Generated Node #0,1,2: 65:[10, 2] Operation: 66/33=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[10, 2], Operations: ['88-78=10', '66/33=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,65 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 #0,1,1
Current State: 65:[66, 23], Operations: ['88-78=10', '33-10=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,65 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,65 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,65 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 #0,1,0
Current State: 65:[10, 33], Operations: ['88-78=10', '66-33=33']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,65 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,65 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,65 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: 65:[78, 66, 55], Operations: ['88-33=55']
Exploring Operation: 66-55=11, Resulting Numbers: [78, 11]
Generated Node #0,2,0: 65:[78, 11] Operation: 66-55=11
Exploring Operation: 78-55=23, Resulting Numbers: [66, 23]
Generated Node #0,2,1: 65:[66, 23] Operation: 78-55=23
Exploring Operation: 78-66=12, Resulting Numbers: [55, 12]
Generated Node #0,2,2: 65:[55, 12] Operation: 78-66=12
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[66, 23], Operations: ['88-33=55', '78-55=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,65 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,65 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 #0,2,2
Current State: 65:[55, 12], Operations: ['88-33=55', '78-66=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,65 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,65 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 #0,2,0
Current State: 65:[78, 11], Operations: ['88-33=55', '66-55=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,65 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,65 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: 65:[78, 88, 2], Operations: ['66/33=2']
Exploring Operation: 88-78=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 65:[2, 10] Operation: 88-78=10
Exploring Operation: 78-2=76, Resulting Numbers: [88, 76]
Generated Node #0,0,1: 65:[88, 76] Operation: 78-2=76
Exploring Operation: 88-2=86, Resulting Numbers: [78, 86]
Generated Node #0,0,2: 65:[78, 86] Operation: 88-2=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[2, 10], Operations: ['66/33=2', '88-78=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,65 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 #0,0,1
Current State: 65:[88, 76], Operations: ['66/33=2', '78-2=76']
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 88+76=164, Resulting Numbers: [164]
164,65 unequal: No Solution
Exploring Operation: 88*76=6688, Resulting Numbers: [6688]
6688,65 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:[78, 86], Operations: ['66/33=2', '88-2=86']
Exploring Operation: 86-78=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 78*86=6708, Resulting Numbers: [6708]
6708,65 unequal: No Solution
Exploring Operation: 78+86=164, Resulting Numbers: [164]
164,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
80,
27,
72,
80
] | 37 | [
"80-72=8",
"80/8=10",
"27+10=37"
] | Current State: 37:[80, 27, 72, 80], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [27, 8]
Generated Node #2: [27, 8] from Operation: 80-72=8
Current State: 37:[27, 8], Operations: ['80-72=8']
Exploring Operation: 80/8=10, Resulting Numbers: [27, 10]
Generated Node #3: [27, 10] from Operation: 80/8=10
Current State: 37:[27, 10], Operations: ['80-72=8', '80/8=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[80, 27, 72, 80], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [27, 72, 0]
Generated Node #0,0: 37:[27, 72, 0] Operation: 80-80=0
Exploring Operation: 80-72=8, Resulting Numbers: [27, 80, 8]
Generated Node #0,1: 37:[27, 80, 8] Operation: 80-72=8
Exploring Operation: 80/80=1, Resulting Numbers: [27, 72, 1]
Generated Node #0,2: 37:[27, 72, 1] Operation: 80/80=1
Exploring Operation: 80-72=8, Resulting Numbers: [80, 27, 8]
Generated Node #0,3: 37:[80, 27, 8] Operation: 80-72=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[27, 72, 1], Operations: ['80/80=1']
Exploring Operation: 27+1=28, Resulting Numbers: [72, 28]
Generated Node #0,2,0: 37:[72, 28] Operation: 27+1=28
Exploring Operation: 27*1=27, Resulting Numbers: [72, 27]
Generated Node #0,2,1: 37:[72, 27] Operation: 27*1=27
Exploring Operation: 72-27=45, Resulting Numbers: [1, 45]
Generated Node #0,2,2: 37:[1, 45] Operation: 72-27=45
Exploring Operation: 72-1=71, Resulting Numbers: [27, 71]
Generated Node #0,2,3: 37:[27, 71] Operation: 72-1=71
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[72, 28], Operations: ['80/80=1', '27+1=28']
Exploring Operation: 72*28=2016, Resulting Numbers: [2016]
2016,37 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,37 unequal: No Solution
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,37 unequal: No Solution
No 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: 37:[1, 45], Operations: ['80/80=1', '72-27=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,37 unequal: No Solution
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,37 unequal: No Solution
No 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: 37:[27, 71], Operations: ['80/80=1', '72-1=71']
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,37 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,37 unequal: No Solution
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,37 unequal: No Solution
No 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: 37:[72, 27], Operations: ['80/80=1', '27*1=27']
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,37 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,37 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: 37:[27, 72, 0], Operations: ['80-80=0']
Exploring Operation: 27-0=27, Resulting Numbers: [72, 27]
Generated Node #0,0,0: 37:[72, 27] Operation: 27-0=27
Exploring Operation: 27+0=27, Resulting Numbers: [72, 27]
Generated Node #0,0,1: 37:[72, 27] Operation: 27+0=27
Exploring Operation: 72-27=45, Resulting Numbers: [0, 45]
Generated Node #0,0,2: 37:[0, 45] Operation: 72-27=45
Exploring Operation: 72+0=72, Resulting Numbers: [27, 72]
Generated Node #0,0,3: 37:[27, 72] Operation: 72+0=72
Moving to Node #0,0,0
Current State: 37:[72, 27], Operations: ['80-80=0', '27-0=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[0, 45], Operations: ['80-80=0', '72-27=45']
Exploring Operation: 45-0=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 0+45=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 0*45=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[72, 27], Operations: ['80-80=0', '27+0=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,37 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[27, 72], Operations: ['80-80=0', '72+0=72']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 27*72=1944, Resulting Numbers: [1944]
1944,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[27, 80, 8], Operations: ['80-72=8']
Exploring Operation: 27+8=35, Resulting Numbers: [80, 35]
Generated Node #0,1,0: 37:[80, 35] Operation: 27+8=35
Exploring Operation: 80/8=10, Resulting Numbers: [27, 10]
Generated Node #0,1,1: 37:[27, 10] Operation: 80/8=10
Exploring Operation: 80-27=53, Resulting Numbers: [8, 53]
Generated Node #0,1,2: 37:[8, 53] Operation: 80-27=53
Exploring Operation: 80-8=72, Resulting Numbers: [27, 72]
Generated Node #0,1,3: 37:[27, 72] Operation: 80-8=72
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[27, 10], Operations: ['80-72=8', '80/8=10']
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,37 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,37 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[80, 27, 72, 80], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [27, 80, 8]
Generated Node #0,1: 37:[27, 80, 8] Operation: 80-72=8
Moving to Node #0,1
Current State: 37:[27, 80, 8], Operations: ['80-72=8']
Exploring Operation: 80/8=10, Resulting Numbers: [27, 10]
Generated Node #0,1,1: 37:[27, 10] Operation: 80/8=10
Moving to Node #0,1,1
Current State: 37:[27, 10], Operations: ['80-72=8', '80/8=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.958333 | hs_4 | sum_heuristic |
[
94,
80,
74,
51
] | 37 | [
"94-80=14",
"74-51=23",
"14+23=37"
] | Current State: 37:[94, 80, 74, 51], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [74, 51, 14]
Generated Node #2: [74, 51, 14] from Operation: 94-80=14
Current State: 37:[74, 51, 14], Operations: ['94-80=14']
Exploring Operation: 74-51=23, Resulting Numbers: [14, 23]
Generated Node #3: [14, 23] from Operation: 74-51=23
Current State: 37:[14, 23], Operations: ['94-80=14', '74-51=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[94, 80, 74, 51], Operations: []
Exploring Operation: 94-51=43, Resulting Numbers: [80, 74, 43]
Generated Node #0,0: 37:[80, 74, 43] Operation: 94-51=43
Exploring Operation: 94-80=14, Resulting Numbers: [74, 51, 14]
Generated Node #0,1: 37:[74, 51, 14] Operation: 94-80=14
Exploring Operation: 94-74=20, Resulting Numbers: [80, 51, 20]
Generated Node #0,2: 37:[80, 51, 20] Operation: 94-74=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[74, 51, 14], Operations: ['94-80=14']
Exploring Operation: 74-51=23, Resulting Numbers: [14, 23]
Generated Node #0,1,0: 37:[14, 23] Operation: 74-51=23
Exploring Operation: 51-14=37, Resulting Numbers: [74, 37]
Generated Node #0,1,1: 37:[74, 37] Operation: 51-14=37
Exploring Operation: 74-14=60, Resulting Numbers: [51, 60]
Generated Node #0,1,2: 37:[51, 60] Operation: 74-14=60
Moving to Node #0,1,0
Current State: 37:[14, 23], Operations: ['94-80=14', '74-51=23']
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,37 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[94, 80, 74, 51], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [74, 51, 14]
Generated Node #0,1: 37:[74, 51, 14] Operation: 94-80=14
Moving to Node #0,1
Current State: 37:[74, 51, 14], Operations: ['94-80=14']
Exploring Operation: 74-51=23, Resulting Numbers: [14, 23]
Generated Node #0,1,0: 37:[14, 23] Operation: 74-51=23
Moving to Node #0,1,0
Current State: 37:[14, 23], Operations: ['94-80=14', '74-51=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
89,
64,
35,
50
] | 40 | [
"89-64=25",
"50-35=15",
"25+15=40"
] | Current State: 40:[89, 64, 35, 50], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [35, 50, 25]
Generated Node #2: [35, 50, 25] from Operation: 89-64=25
Current State: 40:[35, 50, 25], Operations: ['89-64=25']
Exploring Operation: 50-35=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 50-35=15
Current State: 40:[25, 15], Operations: ['89-64=25', '50-35=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[89, 64, 35, 50], Operations: []
Exploring Operation: 89-50=39, Resulting Numbers: [64, 35, 39]
Generated Node #0,0: 40:[64, 35, 39] Operation: 89-50=39
Exploring Operation: 89-35=54, Resulting Numbers: [64, 50, 54]
Generated Node #0,1: 40:[64, 50, 54] Operation: 89-35=54
Exploring Operation: 89-64=25, Resulting Numbers: [35, 50, 25]
Generated Node #0,2: 40:[35, 50, 25] Operation: 89-64=25
Moving to Node #0,2
Current State: 40:[35, 50, 25], Operations: ['89-64=25']
Exploring Operation: 50-35=15, Resulting Numbers: [25, 15]
Generated Node #0,2,0: 40:[25, 15] Operation: 50-35=15
Exploring Operation: 50/25=2, Resulting Numbers: [35, 2]
Generated Node #0,2,1: 40:[35, 2] Operation: 50/25=2
Exploring Operation: 35-25=10, Resulting Numbers: [50, 10]
Generated Node #0,2,2: 40:[50, 10] Operation: 35-25=10
Moving to Node #0,0
Current State: 40:[64, 35, 39], Operations: ['89-50=39']
Exploring Operation: 64-35=29, Resulting Numbers: [39, 29]
Generated Node #0,0,0: 40:[39, 29] Operation: 64-35=29
Exploring Operation: 39-35=4, Resulting Numbers: [64, 4]
Generated Node #0,0,1: 40:[64, 4] Operation: 39-35=4
Exploring Operation: 64-39=25, Resulting Numbers: [35, 25]
Generated Node #0,0,2: 40:[35, 25] Operation: 64-39=25
Moving to Node #0,1
Current State: 40:[64, 50, 54], Operations: ['89-35=54']
Exploring Operation: 64-54=10, Resulting Numbers: [50, 10]
Generated Node #0,1,0: 40:[50, 10] Operation: 64-54=10
Exploring Operation: 54-50=4, Resulting Numbers: [64, 4]
Generated Node #0,1,1: 40:[64, 4] Operation: 54-50=4
Exploring Operation: 64-50=14, Resulting Numbers: [54, 14]
Generated Node #0,1,2: 40:[54, 14] Operation: 64-50=14
Moving to Node #0,2,1
Current State: 40:[35, 2], Operations: ['89-64=25', '50/25=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,40 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[50, 10], Operations: ['89-64=25', '35-25=10']
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,40 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[89, 64, 35, 50], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [35, 50, 25]
Generated Node #0,2: 40:[35, 50, 25] Operation: 89-64=25
Moving to Node #0,2
Current State: 40:[35, 50, 25], Operations: ['89-64=25']
Exploring Operation: 35-25=10, Resulting Numbers: [50, 10]
Generated Node #0,2,2: 40:[50, 10] Operation: 35-25=10
Moving to Node #0,2,2
Current State: 40:[50, 10], Operations: ['89-64=25', '35-25=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.981771 | hs_3 | sum_heuristic |
[
39,
10,
8,
9
] | 41 | [
"10+8=18",
"18/9=2",
"39+2=41"
] | Current State: 41:[39, 10, 8, 9], Operations: []
Exploring Operation: 10+8=18, Resulting Numbers: [39, 9, 18]
Generated Node #2: [39, 9, 18] from Operation: 10+8=18
Current State: 41:[39, 9, 18], Operations: ['10+8=18']
Exploring Operation: 18/9=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 18/9=2
Current State: 41:[39, 2], Operations: ['10+8=18', '18/9=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[39, 10, 8, 9], Operations: []
Exploring Operation: 8+9=17, Resulting Numbers: [39, 10, 17]
Generated Node #0,0: 41:[39, 10, 17] Operation: 8+9=17
Exploring Operation: 10+9=19, Resulting Numbers: [39, 8, 19]
Generated Node #0,1: 41:[39, 8, 19] Operation: 10+9=19
Exploring Operation: 10+8=18, Resulting Numbers: [39, 9, 18]
Generated Node #0,2: 41:[39, 9, 18] Operation: 10+8=18
Exploring Operation: 8*9=72, Resulting Numbers: [39, 10, 72]
Generated Node #0,3: 41:[39, 10, 72] Operation: 8*9=72
Exploring Operation: 39+8=47, Resulting Numbers: [10, 9, 47]
Generated Node #0,4: 41:[10, 9, 47] Operation: 39+8=47
Moving to Node #0,0
Current State: 41:[39, 10, 17], Operations: ['8+9=17']
Exploring Operation: 39-10=29, Resulting Numbers: [17, 29]
Generated Node #0,0,0: 41:[17, 29] Operation: 39-10=29
Exploring Operation: 10+17=27, Resulting Numbers: [39, 27]
Generated Node #0,0,1: 41:[39, 27] Operation: 10+17=27
Exploring Operation: 39+10=49, Resulting Numbers: [17, 49]
Generated Node #0,0,2: 41:[17, 49] Operation: 39+10=49
Exploring Operation: 17-10=7, Resulting Numbers: [39, 7]
Generated Node #0,0,3: 41:[39, 7] Operation: 17-10=7
Exploring Operation: 39+17=56, Resulting Numbers: [10, 56]
Generated Node #0,0,4: 41:[10, 56] Operation: 39+17=56
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[39, 27], Operations: ['8+9=17', '10+17=27']
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,41 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[17, 49], Operations: ['8+9=17', '39+10=49']
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,41 unequal: No Solution
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[17, 29], Operations: ['8+9=17', '39-10=29']
Exploring Operation: 17+29=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 17*29=493, Resulting Numbers: [493]
493,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 41:[39, 7], Operations: ['8+9=17', '17-10=7']
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,41 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 41:[10, 56], Operations: ['8+9=17', '39+17=56']
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,41 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: 41:[39, 9, 18], Operations: ['10+8=18']
Exploring Operation: 39-9=30, Resulting Numbers: [18, 30]
Generated Node #0,2,0: 41:[18, 30] Operation: 39-9=30
Exploring Operation: 9+18=27, Resulting Numbers: [39, 27]
Generated Node #0,2,1: 41:[39, 27] Operation: 9+18=27
Exploring Operation: 18/9=2, Resulting Numbers: [39, 2]
Generated Node #0,2,2: 41:[39, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [39, 9]
Generated Node #0,2,3: 41:[39, 9] Operation: 18-9=9
Exploring Operation: 39+9=48, Resulting Numbers: [18, 48]
Generated Node #0,2,4: 41:[18, 48] Operation: 39+9=48
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[39, 27], Operations: ['10+8=18', '9+18=27']
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,41 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 41:[18, 48], Operations: ['10+8=18', '39+9=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[18, 30], Operations: ['10+8=18', '39-9=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[39, 9], Operations: ['10+8=18', '18-9=9']
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 39*9=351, Resulting Numbers: [351]
351,41 unequal: No Solution
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[39, 2], Operations: ['10+8=18', '18/9=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[39, 10, 8, 9], Operations: []
Exploring Operation: 10+8=18, Resulting Numbers: [39, 9, 18]
Generated Node #0,2: 41:[39, 9, 18] Operation: 10+8=18
Moving to Node #0,2
Current State: 41:[39, 9, 18], Operations: ['10+8=18']
Exploring Operation: 18/9=2, Resulting Numbers: [39, 2]
Generated Node #0,2,2: 41:[39, 2] Operation: 18/9=2
Moving to Node #0,2,2
Current State: 41:[39, 2], Operations: ['10+8=18', '18/9=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | sum_heuristic |
[
21,
69,
60,
59
] | 49 | [
"69-21=48",
"60-59=1",
"48+1=49"
] | Current State: 49:[21, 69, 60, 59], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [60, 59, 48]
Generated Node #2: [60, 59, 48] from Operation: 69-21=48
Current State: 49:[60, 59, 48], Operations: ['69-21=48']
Exploring Operation: 60-59=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 60-59=1
Current State: 49:[48, 1], Operations: ['69-21=48', '60-59=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[21, 69, 60, 59], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [60, 59, 48]
Generated Node #0,0: 49:[60, 59, 48] Operation: 69-21=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[60, 59, 48], Operations: ['69-21=48']
Exploring Operation: 60-59=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 49:[48, 1] Operation: 60-59=1
Moving to Node #0,0,0
Current State: 49:[48, 1], Operations: ['69-21=48', '60-59=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[21, 69, 60, 59], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [60, 59, 48]
Generated Node #0,0: 49:[60, 59, 48] Operation: 69-21=48
Moving to Node #0,0
Current State: 49:[60, 59, 48], Operations: ['69-21=48']
Exploring Operation: 60-59=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 49:[48, 1] Operation: 60-59=1
Moving to Node #0,0,0
Current State: 49:[48, 1], Operations: ['69-21=48', '60-59=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
37,
3,
18,
35
] | 42 | [
"37+35=72",
"72/3=24",
"18+24=42"
] | Current State: 42:[37, 3, 18, 35], Operations: []
Exploring Operation: 37+35=72, Resulting Numbers: [3, 18, 72]
Generated Node #2: [3, 18, 72] from Operation: 37+35=72
Current State: 42:[3, 18, 72], Operations: ['37+35=72']
Exploring Operation: 72/3=24, Resulting Numbers: [18, 24]
Generated Node #3: [18, 24] from Operation: 72/3=24
Current State: 42:[18, 24], Operations: ['37+35=72', '72/3=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[37, 3, 18, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [3, 18, 2]
Generated Node #0,0: 42:[3, 18, 2] Operation: 37-35=2
Moving to Node #0,0
Current State: 42:[3, 18, 2], Operations: ['37-35=2']
Exploring Operation: 3+18=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 42:[2, 21] Operation: 3+18=21
Moving to Node #0,0,0
Current State: 42:[2, 21], Operations: ['37-35=2', '3+18=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[37, 3, 18, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [3, 18, 2]
Generated Node #0,0: 42:[3, 18, 2] Operation: 37-35=2
Moving to Node #0,0
Current State: 42:[3, 18, 2], Operations: ['37-35=2']
Exploring Operation: 3+18=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 42:[2, 21] Operation: 3+18=21
Moving to Node #0,0,0
Current State: 42:[2, 21], Operations: ['37-35=2', '3+18=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
1,
57,
95,
51
] | 30 | [
"51-1=50",
"57*50=2850",
"2850/95=30"
] | Current State: 30:[1, 57, 95, 51], Operations: []
Exploring Operation: 51-1=50, Resulting Numbers: [57, 95, 50]
Generated Node #2: [57, 95, 50] from Operation: 51-1=50
Current State: 30:[57, 95, 50], Operations: ['51-1=50']
Exploring Operation: 57*50=2850, Resulting Numbers: [95, 2850]
Generated Node #3: [95, 2850] from Operation: 57*50=2850
Current State: 30:[95, 2850], Operations: ['51-1=50', '57*50=2850']
Exploring Operation: 2850/95=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[1, 57, 95, 51], Operations: []
Exploring Operation: 95-51=44, Resulting Numbers: [1, 57, 44]
Generated Node #0,0: 30:[1, 57, 44] Operation: 95-51=44
Exploring Operation: 57-1=56, Resulting Numbers: [95, 51, 56]
Generated Node #0,1: 30:[95, 51, 56] Operation: 57-1=56
Exploring Operation: 57-51=6, Resulting Numbers: [1, 95, 6]
Generated Node #0,2: 30:[1, 95, 6] Operation: 57-51=6
Exploring Operation: 95-57=38, Resulting Numbers: [1, 51, 38]
Generated Node #0,3: 30:[1, 51, 38] Operation: 95-57=38
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[1, 51, 38], Operations: ['95-57=38']
Exploring Operation: 38-1=37, Resulting Numbers: [51, 37]
Generated Node #0,3,0: 30:[51, 37] Operation: 38-1=37
Exploring Operation: 51-1=50, Resulting Numbers: [38, 50]
Generated Node #0,3,1: 30:[38, 50] Operation: 51-1=50
Exploring Operation: 51-38=13, Resulting Numbers: [1, 13]
Generated Node #0,3,2: 30:[1, 13] Operation: 51-38=13
Exploring Operation: 1*51=51, Resulting Numbers: [38, 51]
Generated Node #0,3,3: 30:[38, 51] Operation: 1*51=51
Moving to Node #0,3,2
Current State: 30:[1, 13], Operations: ['95-57=38', '51-38=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[38, 50], Operations: ['95-57=38', '51-1=50']
Exploring Operation: 38+50=88, Resulting Numbers: [88]
88,30 unequal: No Solution
Exploring Operation: 38*50=1900, Resulting Numbers: [1900]
1900,30 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[51, 37], Operations: ['95-57=38', '38-1=37']
Exploring Operation: 51+37=88, Resulting Numbers: [88]
88,30 unequal: No Solution
Exploring Operation: 51*37=1887, Resulting Numbers: [1887]
1887,30 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[38, 51], Operations: ['95-57=38', '1*51=51']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 38+51=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 38*51=1938, Resulting Numbers: [1938]
1938,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[1, 57, 44], Operations: ['95-51=44']
Exploring Operation: 57-1=56, Resulting Numbers: [44, 56]
Generated Node #0,0,0: 30:[44, 56] Operation: 57-1=56
Exploring Operation: 1*57=57, Resulting Numbers: [44, 57]
Generated Node #0,0,1: 30:[44, 57] Operation: 1*57=57
Exploring Operation: 57-44=13, Resulting Numbers: [1, 13]
Generated Node #0,0,2: 30:[1, 13] Operation: 57-44=13
Exploring Operation: 44-1=43, Resulting Numbers: [57, 43]
Generated Node #0,0,3: 30:[57, 43] Operation: 44-1=43
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 30:[1, 13], Operations: ['95-51=44', '57-44=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[44, 56], Operations: ['95-51=44', '57-1=56']
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 44*56=2464, Resulting Numbers: [2464]
2464,30 unequal: No Solution
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 30:[57, 43], Operations: ['95-51=44', '44-1=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,30 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,30 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[44, 57], Operations: ['95-51=44', '1*57=57']
Exploring Operation: 44+57=101, Resulting Numbers: [101]
101,30 unequal: No Solution
Exploring Operation: 44*57=2508, Resulting Numbers: [2508]
2508,30 unequal: No Solution
Exploring Operation: 57-44=13, Resulting Numbers: [13]
13,30 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: 30:[1, 95, 6], Operations: ['57-51=6']
Exploring Operation: 1*95=95, Resulting Numbers: [6, 95]
Generated Node #0,2,0: 30:[6, 95] Operation: 1*95=95
Exploring Operation: 95-1=94, Resulting Numbers: [6, 94]
Generated Node #0,2,1: 30:[6, 94] Operation: 95-1=94
Exploring Operation: 95/1=95, Resulting Numbers: [6, 95]
Generated Node #0,2,2: 30:[6, 95] Operation: 95/1=95
Exploring Operation: 95-6=89, Resulting Numbers: [1, 89]
Generated Node #0,2,3: 30:[1, 89] Operation: 95-6=89
Moving to Node #0,2,3
Current State: 30:[1, 89], Operations: ['57-51=6', '95-6=89']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,30 unequal: No Solution
Exploring Operation: 1+89=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[6, 94], Operations: ['57-51=6', '95-1=94']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,30 unequal: No Solution
Exploring Operation: 6*94=564, Resulting Numbers: [564]
564,30 unequal: No Solution
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[6, 95], Operations: ['57-51=6', '95/1=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 6*95=570, Resulting Numbers: [570]
570,30 unequal: No Solution
Exploring Operation: 6+95=101, Resulting Numbers: [101]
101,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[6, 95], Operations: ['57-51=6', '1*95=95']
Exploring Operation: 6*95=570, Resulting Numbers: [570]
570,30 unequal: No Solution
Exploring Operation: 6+95=101, Resulting Numbers: [101]
101,30 unequal: No Solution
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[95, 51, 56], Operations: ['57-1=56']
Exploring Operation: 95+51=146, Resulting Numbers: [56, 146]
Generated Node #0,1,0: 30:[56, 146] Operation: 95+51=146
Exploring Operation: 95-56=39, Resulting Numbers: [51, 39]
Generated Node #0,1,1: 30:[51, 39] Operation: 95-56=39
Exploring Operation: 95-51=44, Resulting Numbers: [56, 44]
Generated Node #0,1,2: 30:[56, 44] Operation: 95-51=44
Exploring Operation: 56-51=5, Resulting Numbers: [95, 5]
Generated Node #0,1,3: 30:[95, 5] Operation: 56-51=5
Moving to Node #0,1,1
Current State: 30:[51, 39], Operations: ['57-1=56', '95-56=39']
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 51*39=1989, Resulting Numbers: [1989]
1989,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[56, 44], Operations: ['57-1=56', '95-51=44']
Exploring Operation: 56+44=100, Resulting Numbers: [100]
100,30 unequal: No Solution
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 56*44=2464, Resulting Numbers: [2464]
2464,30 unequal: No Solution
Moving to Node #0,1,3
Current State: 30:[95, 5], Operations: ['57-1=56', '56-51=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 95*5=475, Resulting Numbers: [475]
475,30 unequal: No Solution
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,30 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[56, 146], Operations: ['57-1=56', '95+51=146']
Exploring Operation: 56*146=8176, Resulting Numbers: [8176]
8176,30 unequal: No Solution
Exploring Operation: 146-56=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 56+146=202, Resulting Numbers: [202]
202,30 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 |
[
99,
35,
72,
44
] | 52 | [
"99-35=64",
"72+44=116",
"116-64=52"
] | Current State: 52:[99, 35, 72, 44], Operations: []
Exploring Operation: 99-35=64, Resulting Numbers: [72, 44, 64]
Generated Node #2: [72, 44, 64] from Operation: 99-35=64
Current State: 52:[72, 44, 64], Operations: ['99-35=64']
Exploring Operation: 72+44=116, Resulting Numbers: [64, 116]
Generated Node #3: [64, 116] from Operation: 72+44=116
Current State: 52:[64, 116], Operations: ['99-35=64', '72+44=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[99, 35, 72, 44], Operations: []
Exploring Operation: 99-44=55, Resulting Numbers: [35, 72, 55]
Generated Node #0,0: 52:[35, 72, 55] Operation: 99-44=55
Exploring Operation: 72-44=28, Resulting Numbers: [99, 35, 28]
Generated Node #0,1: 52:[99, 35, 28] Operation: 72-44=28
Exploring Operation: 99-35=64, Resulting Numbers: [72, 44, 64]
Generated Node #0,2: 52:[72, 44, 64] Operation: 99-35=64
Exploring Operation: 72-35=37, Resulting Numbers: [99, 44, 37]
Generated Node #0,3: 52:[99, 44, 37] Operation: 72-35=37
Exploring Operation: 99-72=27, Resulting Numbers: [35, 44, 27]
Generated Node #0,4: 52:[35, 44, 27] Operation: 99-72=27
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[35, 44, 27], Operations: ['99-72=27']
Exploring Operation: 44-27=17, Resulting Numbers: [35, 17]
Generated Node #0,4,0: 52:[35, 17] Operation: 44-27=17
Exploring Operation: 35+44=79, Resulting Numbers: [27, 79]
Generated Node #0,4,1: 52:[27, 79] Operation: 35+44=79
Exploring Operation: 35+27=62, Resulting Numbers: [44, 62]
Generated Node #0,4,2: 52:[44, 62] Operation: 35+27=62
Exploring Operation: 44-35=9, Resulting Numbers: [27, 9]
Generated Node #0,4,3: 52:[27, 9] Operation: 44-35=9
Exploring Operation: 35-27=8, Resulting Numbers: [44, 8]
Generated Node #0,4,4: 52:[44, 8] Operation: 35-27=8
Moving to Node #0,4,3
Current State: 52:[27, 9], Operations: ['99-72=27', '44-35=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,52 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[44, 8], Operations: ['99-72=27', '35-27=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[99, 35, 72, 44], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [35, 44, 27]
Generated Node #0,4: 52:[35, 44, 27] Operation: 99-72=27
Moving to Node #0,4
Current State: 52:[35, 44, 27], Operations: ['99-72=27']
Exploring Operation: 35-27=8, Resulting Numbers: [44, 8]
Generated Node #0,4,4: 52:[44, 8] Operation: 35-27=8
Moving to Node #0,4,4
Current State: 52:[44, 8], Operations: ['99-72=27', '35-27=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
57,
46,
25,
66
] | 31 | [
"57-46=11",
"66/11=6",
"25+6=31"
] | Current State: 31:[57, 46, 25, 66], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [25, 66, 11]
Generated Node #2: [25, 66, 11] from Operation: 57-46=11
Current State: 31:[25, 66, 11], Operations: ['57-46=11']
Exploring Operation: 66/11=6, Resulting Numbers: [25, 6]
Generated Node #3: [25, 6] from Operation: 66/11=6
Current State: 31:[25, 6], Operations: ['57-46=11', '66/11=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[57, 46, 25, 66], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [46, 25, 9]
Generated Node #0,0: 31:[46, 25, 9] Operation: 66-57=9
Exploring Operation: 66-46=20, Resulting Numbers: [57, 25, 20]
Generated Node #0,1: 31:[57, 25, 20] Operation: 66-46=20
Exploring Operation: 66-25=41, Resulting Numbers: [57, 46, 41]
Generated Node #0,2: 31:[57, 46, 41] Operation: 66-25=41
Exploring Operation: 57-25=32, Resulting Numbers: [46, 66, 32]
Generated Node #0,3: 31:[46, 66, 32] Operation: 57-25=32
Moving to Node #0,0
Current State: 31:[46, 25, 9], Operations: ['66-57=9']
Exploring Operation: 25+9=34, Resulting Numbers: [46, 34]
Generated Node #0,0,0: 31:[46, 34] Operation: 25+9=34
Exploring Operation: 46-9=37, Resulting Numbers: [25, 37]
Generated Node #0,0,1: 31:[25, 37] Operation: 46-9=37
Exploring Operation: 46+9=55, Resulting Numbers: [25, 55]
Generated Node #0,0,2: 31:[25, 55] Operation: 46+9=55
Exploring Operation: 25-9=16, Resulting Numbers: [46, 16]
Generated Node #0,0,3: 31:[46, 16] Operation: 25-9=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[25, 37], Operations: ['66-57=9', '46-9=37']
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,31 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,31 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 #0,0,0
Current State: 31:[46, 34], Operations: ['66-57=9', '25+9=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,31 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 #0,0,2
Current State: 31:[25, 55], Operations: ['66-57=9', '46+9=55']
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,31 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,31 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 #0,0,3
Current State: 31:[46, 16], Operations: ['66-57=9', '25-9=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,31 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,31 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: 31:[57, 25, 20], Operations: ['66-46=20']
Exploring Operation: 25+20=45, Resulting Numbers: [57, 45]
Generated Node #0,1,0: 31:[57, 45] Operation: 25+20=45
Exploring Operation: 57-20=37, Resulting Numbers: [25, 37]
Generated Node #0,1,1: 31:[25, 37] Operation: 57-20=37
Exploring Operation: 57+20=77, Resulting Numbers: [25, 77]
Generated Node #0,1,2: 31:[25, 77] Operation: 57+20=77
Exploring Operation: 57-25=32, Resulting Numbers: [20, 32]
Generated Node #0,1,3: 31:[20, 32] Operation: 57-25=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[25, 37], Operations: ['66-46=20', '57-20=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,31 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 31:[20, 32], Operations: ['66-46=20', '57-25=32']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[57, 45], Operations: ['66-46=20', '25+20=45']
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,31 unequal: No Solution
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 57*45=2565, Resulting Numbers: [2565]
2565,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[25, 77], Operations: ['66-46=20', '57+20=77']
Exploring Operation: 25+77=102, Resulting Numbers: [102]
102,31 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 25*77=1925, Resulting Numbers: [1925]
1925,31 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: 31:[46, 66, 32], Operations: ['57-25=32']
Exploring Operation: 66-32=34, Resulting Numbers: [46, 34]
Generated Node #0,3,0: 31:[46, 34] Operation: 66-32=34
Exploring Operation: 66-46=20, Resulting Numbers: [32, 20]
Generated Node #0,3,1: 31:[32, 20] Operation: 66-46=20
Exploring Operation: 46-32=14, Resulting Numbers: [66, 14]
Generated Node #0,3,2: 31:[66, 14] Operation: 46-32=14
Exploring Operation: 46+66=112, Resulting Numbers: [32, 112]
Generated Node #0,3,3: 31:[32, 112] Operation: 46+66=112
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 31:[32, 20], Operations: ['57-25=32', '66-46=20']
Exploring Operation: 32+20=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 32*20=640, Resulting Numbers: [640]
640,31 unequal: No Solution
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,31 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 #0,3,0
Current State: 31:[46, 34], Operations: ['57-25=32', '66-32=34']
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,31 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 #0,3,2
Current State: 31:[66, 14], Operations: ['57-25=32', '46-32=14']
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,31 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,31 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 #0,3,3
Current State: 31:[32, 112], Operations: ['57-25=32', '46+66=112']
Exploring Operation: 32*112=3584, Resulting Numbers: [3584]
3584,31 unequal: No Solution
Exploring Operation: 112-32=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 32+112=144, Resulting Numbers: [144]
144,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 31:[57, 46, 41], Operations: ['66-25=41']
Exploring Operation: 57-46=11, Resulting Numbers: [41, 11]
Generated Node #0,2,0: 31:[41, 11] Operation: 57-46=11
Exploring Operation: 46-41=5, Resulting Numbers: [57, 5]
Generated Node #0,2,1: 31:[57, 5] Operation: 46-41=5
Exploring Operation: 57-41=16, Resulting Numbers: [46, 16]
Generated Node #0,2,2: 31:[46, 16] Operation: 57-41=16
Exploring Operation: 57+46=103, Resulting Numbers: [41, 103]
Generated Node #0,2,3: 31:[41, 103] Operation: 57+46=103
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[41, 11], Operations: ['66-25=41', '57-46=11']
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,31 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[46, 16], Operations: ['66-25=41', '57-41=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,31 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[57, 5], Operations: ['66-25=41', '46-41=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[41, 103], Operations: ['66-25=41', '57+46=103']
Exploring Operation: 41*103=4223, Resulting Numbers: [4223]
4223,31 unequal: No Solution
Exploring Operation: 41+103=144, Resulting Numbers: [144]
144,31 unequal: No Solution
Exploring Operation: 103-41=62, Resulting Numbers: [62]
62,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
7,
33,
51,
9
] | 16 | [
"33-7=26",
"51-9=42",
"42-26=16"
] | Current State: 16:[7, 33, 51, 9], Operations: []
Exploring Operation: 33-7=26, Resulting Numbers: [51, 9, 26]
Generated Node #2: [51, 9, 26] from Operation: 33-7=26
Current State: 16:[51, 9, 26], Operations: ['33-7=26']
Exploring Operation: 51-9=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 51-9=42
Current State: 16:[26, 42], Operations: ['33-7=26', '51-9=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[7, 33, 51, 9], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [7, 51, 24]
Generated Node #0,0: 16:[7, 51, 24] Operation: 33-9=24
Exploring Operation: 51-33=18, Resulting Numbers: [7, 9, 18]
Generated Node #0,1: 16:[7, 9, 18] Operation: 51-33=18
Exploring Operation: 51-7=44, Resulting Numbers: [33, 9, 44]
Generated Node #0,2: 16:[33, 9, 44] Operation: 51-7=44
Exploring Operation: 33-7=26, Resulting Numbers: [51, 9, 26]
Generated Node #0,3: 16:[51, 9, 26] Operation: 33-7=26
Exploring Operation: 51-9=42, Resulting Numbers: [7, 33, 42]
Generated Node #0,4: 16:[7, 33, 42] Operation: 51-9=42
Moving to Node #0,1
Current State: 16:[7, 9, 18], Operations: ['51-33=18']
Exploring Operation: 18-7=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 16:[9, 11] Operation: 18-7=11
Exploring Operation: 18-9=9, Resulting Numbers: [7, 9]
Generated Node #0,1,1: 16:[7, 9] Operation: 18-9=9
Exploring Operation: 9-7=2, Resulting Numbers: [18, 2]
Generated Node #0,1,2: 16:[18, 2] Operation: 9-7=2
Exploring Operation: 18/9=2, Resulting Numbers: [7, 2]
Generated Node #0,1,3: 16:[7, 2] Operation: 18/9=2
Exploring Operation: 7+9=16, Resulting Numbers: [18, 16]
Generated Node #0,1,4: 16:[18, 16] Operation: 7+9=16
Moving to Node #0,4
Current State: 16:[7, 33, 42], Operations: ['51-9=42']
Exploring Operation: 33-7=26, Resulting Numbers: [42, 26]
Generated Node #0,4,0: 16:[42, 26] Operation: 33-7=26
Exploring Operation: 42-7=35, Resulting Numbers: [33, 35]
Generated Node #0,4,1: 16:[33, 35] Operation: 42-7=35
Exploring Operation: 42-33=9, Resulting Numbers: [7, 9]
Generated Node #0,4,2: 16:[7, 9] Operation: 42-33=9
Exploring Operation: 7+33=40, Resulting Numbers: [42, 40]
Generated Node #0,4,3: 16:[42, 40] Operation: 7+33=40
Exploring Operation: 42/7=6, Resulting Numbers: [33, 6]
Generated Node #0,4,4: 16:[33, 6] Operation: 42/7=6
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 16:[7, 9], Operations: ['51-9=42', '42-33=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[7, 33, 51, 9], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [7, 33, 42]
Generated Node #0,4: 16:[7, 33, 42] Operation: 51-9=42
Moving to Node #0,4
Current State: 16:[7, 33, 42], Operations: ['51-9=42']
Exploring Operation: 42-33=9, Resulting Numbers: [7, 9]
Generated Node #0,4,2: 16:[7, 9] Operation: 42-33=9
Moving to Node #0,4,2
Current State: 16:[7, 9], Operations: ['51-9=42', '42-33=9']
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
62,
91,
79,
89
] | 39 | [
"91-62=29",
"89-79=10",
"29+10=39"
] | Current State: 39:[62, 91, 79, 89], Operations: []
Exploring Operation: 91-62=29, Resulting Numbers: [79, 89, 29]
Generated Node #2: [79, 89, 29] from Operation: 91-62=29
Current State: 39:[79, 89, 29], Operations: ['91-62=29']
Exploring Operation: 89-79=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 89-79=10
Current State: 39:[29, 10], Operations: ['91-62=29', '89-79=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[62, 91, 79, 89], Operations: []
Exploring Operation: 91-62=29, Resulting Numbers: [79, 89, 29]
Generated Node #0,0: 39:[79, 89, 29] Operation: 91-62=29
Exploring Operation: 91-79=12, Resulting Numbers: [62, 89, 12]
Generated Node #0,1: 39:[62, 89, 12] Operation: 91-79=12
Exploring Operation: 89-79=10, Resulting Numbers: [62, 91, 10]
Generated Node #0,2: 39:[62, 91, 10] Operation: 89-79=10
Exploring Operation: 91-89=2, Resulting Numbers: [62, 79, 2]
Generated Node #0,3: 39:[62, 79, 2] Operation: 91-89=2
Moving to Node #0,3
Current State: 39:[62, 79, 2], Operations: ['91-89=2']
Exploring Operation: 79-62=17, Resulting Numbers: [2, 17]
Generated Node #0,3,0: 39:[2, 17] Operation: 79-62=17
Exploring Operation: 62/2=31, Resulting Numbers: [79, 31]
Generated Node #0,3,1: 39:[79, 31] Operation: 62/2=31
Exploring Operation: 79-2=77, Resulting Numbers: [62, 77]
Generated Node #0,3,2: 39:[62, 77] Operation: 79-2=77
Exploring Operation: 62-2=60, Resulting Numbers: [79, 60]
Generated Node #0,3,3: 39:[79, 60] Operation: 62-2=60
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 39:[2, 17], Operations: ['91-89=2', '79-62=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[79, 31], Operations: ['91-89=2', '62/2=31']
Exploring Operation: 79+31=110, Resulting Numbers: [110]
110,39 unequal: No Solution
Exploring Operation: 79-31=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 79*31=2449, Resulting Numbers: [2449]
2449,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 39:[62, 77], Operations: ['91-89=2', '79-2=77']
Exploring Operation: 62*77=4774, Resulting Numbers: [4774]
4774,39 unequal: No Solution
Exploring Operation: 77-62=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 62+77=139, Resulting Numbers: [139]
139,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 39:[79, 60], Operations: ['91-89=2', '62-2=60']
Exploring Operation: 79+60=139, Resulting Numbers: [139]
139,39 unequal: No Solution
Exploring Operation: 79*60=4740, Resulting Numbers: [4740]
4740,39 unequal: No Solution
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,39 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: 39:[62, 89, 12], Operations: ['91-79=12']
Exploring Operation: 62-12=50, Resulting Numbers: [89, 50]
Generated Node #0,1,0: 39:[89, 50] Operation: 62-12=50
Exploring Operation: 89-12=77, Resulting Numbers: [62, 77]
Generated Node #0,1,1: 39:[62, 77] Operation: 89-12=77
Exploring Operation: 62+12=74, Resulting Numbers: [89, 74]
Generated Node #0,1,2: 39:[89, 74] Operation: 62+12=74
Exploring Operation: 89-62=27, Resulting Numbers: [12, 27]
Generated Node #0,1,3: 39:[12, 27] Operation: 89-62=27
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[12, 27], Operations: ['91-79=12', '89-62=27']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[62, 91, 79, 89], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [62, 89, 12]
Generated Node #0,1: 39:[62, 89, 12] Operation: 91-79=12
Moving to Node #0,1
Current State: 39:[62, 89, 12], Operations: ['91-79=12']
Exploring Operation: 89-62=27, Resulting Numbers: [12, 27]
Generated Node #0,1,3: 39:[12, 27] Operation: 89-62=27
Moving to Node #0,1,3
Current State: 39:[12, 27], Operations: ['91-79=12', '89-62=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
2,
4,
90,
20
] | 28 | [
"2+90=92",
"20+92=112",
"112/4=28"
] | Current State: 28:[2, 4, 90, 20], Operations: []
Exploring Operation: 2+90=92, Resulting Numbers: [4, 20, 92]
Generated Node #2: [4, 20, 92] from Operation: 2+90=92
Current State: 28:[4, 20, 92], Operations: ['2+90=92']
Exploring Operation: 20+92=112, Resulting Numbers: [4, 112]
Generated Node #3: [4, 112] from Operation: 20+92=112
Current State: 28:[4, 112], Operations: ['2+90=92', '20+92=112']
Exploring Operation: 112/4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[2, 4, 90, 20], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [2, 4, 70]
Generated Node #0,0: 28:[2, 4, 70] Operation: 90-20=70
Exploring Operation: 90/2=45, Resulting Numbers: [4, 20, 45]
Generated Node #0,1: 28:[4, 20, 45] Operation: 90/2=45
Moving to Node #0,1
Current State: 28:[4, 20, 45], Operations: ['90/2=45']
Exploring Operation: 20/4=5, Resulting Numbers: [45, 5]
Generated Node #0,1,0: 28:[45, 5] Operation: 20/4=5
Exploring Operation: 45-20=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 28:[4, 25] Operation: 45-20=25
Moving to Node #0,0
Current State: 28:[2, 4, 70], Operations: ['90-20=70']
Exploring Operation: 70-4=66, Resulting Numbers: [2, 66]
Generated Node #0,0,0: 28:[2, 66] Operation: 70-4=66
Exploring Operation: 70/2=35, Resulting Numbers: [4, 35]
Generated Node #0,0,1: 28:[4, 35] Operation: 70/2=35
Moving to Node #0,1,1
Current State: 28:[4, 25], Operations: ['90/2=45', '45-20=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,28 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[4, 35], Operations: ['90-20=70', '70/2=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[45, 5], Operations: ['90/2=45', '20/4=5']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[2, 66], Operations: ['90-20=70', '70-4=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,28 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
77,
88,
93,
99
] | 91 | [
"77+99=176",
"176/88=2",
"93-2=91"
] | Current State: 91:[77, 88, 93, 99], Operations: []
Exploring Operation: 77+99=176, Resulting Numbers: [88, 93, 176]
Generated Node #2: [88, 93, 176] from Operation: 77+99=176
Current State: 91:[88, 93, 176], Operations: ['77+99=176']
Exploring Operation: 176/88=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 176/88=2
Current State: 91:[93, 2], Operations: ['77+99=176', '176/88=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[77, 88, 93, 99], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [93, 99, 11]
Generated Node #0,0: 91:[93, 99, 11] Operation: 88-77=11
Exploring Operation: 99-77=22, Resulting Numbers: [88, 93, 22]
Generated Node #0,1: 91:[88, 93, 22] Operation: 99-77=22
Exploring Operation: 99-88=11, Resulting Numbers: [77, 93, 11]
Generated Node #0,2: 91:[77, 93, 11] Operation: 99-88=11
Exploring Operation: 93-77=16, Resulting Numbers: [88, 99, 16]
Generated Node #0,3: 91:[88, 99, 16] Operation: 93-77=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[93, 99, 11], Operations: ['88-77=11']
Exploring Operation: 93-11=82, Resulting Numbers: [99, 82]
Generated Node #0,0,0: 91:[99, 82] Operation: 93-11=82
Exploring Operation: 99-93=6, Resulting Numbers: [11, 6]
Generated Node #0,0,1: 91:[11, 6] Operation: 99-93=6
Exploring Operation: 99/11=9, Resulting Numbers: [93, 9]
Generated Node #0,0,2: 91:[93, 9] Operation: 99/11=9
Exploring Operation: 99-11=88, Resulting Numbers: [93, 88]
Generated Node #0,0,3: 91:[93, 88] Operation: 99-11=88
Moving to Node #0,0,1
Current State: 91:[11, 6], Operations: ['88-77=11', '99-93=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[93, 9], Operations: ['88-77=11', '99/11=9']
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,91 unequal: No Solution
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,91 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[93, 88], Operations: ['88-77=11', '99-11=88']
Exploring Operation: 93*88=8184, Resulting Numbers: [8184]
8184,91 unequal: No Solution
Exploring Operation: 93+88=181, Resulting Numbers: [181]
181,91 unequal: No Solution
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[99, 82], Operations: ['88-77=11', '93-11=82']
Exploring Operation: 99+82=181, Resulting Numbers: [181]
181,91 unequal: No Solution
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 99*82=8118, Resulting Numbers: [8118]
8118,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[88, 93, 22], Operations: ['99-77=22']
Exploring Operation: 93-22=71, Resulting Numbers: [88, 71]
Generated Node #0,1,0: 91:[88, 71] Operation: 93-22=71
Exploring Operation: 93-88=5, Resulting Numbers: [22, 5]
Generated Node #0,1,1: 91:[22, 5] Operation: 93-88=5
Exploring Operation: 88/22=4, Resulting Numbers: [93, 4]
Generated Node #0,1,2: 91:[93, 4] Operation: 88/22=4
Exploring Operation: 88+22=110, Resulting Numbers: [93, 110]
Generated Node #0,1,3: 91:[93, 110] Operation: 88+22=110
Moving to Node #0,1,2
Current State: 91:[93, 4], Operations: ['99-77=22', '88/22=4']
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,91 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[22, 5], Operations: ['99-77=22', '93-88=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[93, 110], Operations: ['99-77=22', '88+22=110']
Exploring Operation: 93*110=10230, Resulting Numbers: [10230]
10230,91 unequal: No Solution
Exploring Operation: 110-93=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 93+110=203, Resulting Numbers: [203]
203,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[88, 71], Operations: ['99-77=22', '93-22=71']
Exploring Operation: 88*71=6248, Resulting Numbers: [6248]
6248,91 unequal: No Solution
Exploring Operation: 88+71=159, Resulting Numbers: [159]
159,91 unequal: No Solution
Exploring Operation: 88-71=17, Resulting Numbers: [17]
17,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 91:[88, 99, 16], Operations: ['93-77=16']
Exploring Operation: 99-88=11, Resulting Numbers: [16, 11]
Generated Node #0,3,0: 91:[16, 11] Operation: 99-88=11
Exploring Operation: 99-16=83, Resulting Numbers: [88, 83]
Generated Node #0,3,1: 91:[88, 83] Operation: 99-16=83
Exploring Operation: 88-16=72, Resulting Numbers: [99, 72]
Generated Node #0,3,2: 91:[99, 72] Operation: 88-16=72
Exploring Operation: 88+16=104, Resulting Numbers: [99, 104]
Generated Node #0,3,3: 91:[99, 104] Operation: 88+16=104
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 91:[16, 11], Operations: ['93-77=16', '99-88=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,91 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 91:[88, 83], Operations: ['93-77=16', '99-16=83']
Exploring Operation: 88*83=7304, Resulting Numbers: [7304]
7304,91 unequal: No Solution
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 88+83=171, Resulting Numbers: [171]
171,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 91:[99, 104], Operations: ['93-77=16', '88+16=104']
Exploring Operation: 99+104=203, Resulting Numbers: [203]
203,91 unequal: No Solution
Exploring Operation: 99*104=10296, Resulting Numbers: [10296]
10296,91 unequal: No Solution
Exploring Operation: 104-99=5, Resulting Numbers: [5]
5,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 91:[99, 72], Operations: ['93-77=16', '88-16=72']
Exploring Operation: 99+72=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 99*72=7128, Resulting Numbers: [7128]
7128,91 unequal: No Solution
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[77, 93, 11], Operations: ['99-88=11']
Exploring Operation: 93-77=16, Resulting Numbers: [11, 16]
Generated Node #0,2,0: 91:[11, 16] Operation: 93-77=16
Exploring Operation: 77/11=7, Resulting Numbers: [93, 7]
Generated Node #0,2,1: 91:[93, 7] Operation: 77/11=7
Exploring Operation: 93-11=82, Resulting Numbers: [77, 82]
Generated Node #0,2,2: 91:[77, 82] Operation: 93-11=82
Exploring Operation: 77+11=88, Resulting Numbers: [93, 88]
Generated Node #0,2,3: 91:[93, 88] Operation: 77+11=88
Moving to Node #0,2,1
Current State: 91:[93, 7], Operations: ['99-88=11', '77/11=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Exploring Operation: 93+7=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 93*7=651, Resulting Numbers: [651]
651,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[93, 88], Operations: ['99-88=11', '77+11=88']
Exploring Operation: 93*88=8184, Resulting Numbers: [8184]
8184,91 unequal: No Solution
Exploring Operation: 93+88=181, Resulting Numbers: [181]
181,91 unequal: No Solution
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[11, 16], Operations: ['99-88=11', '93-77=16']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[77, 82], Operations: ['99-88=11', '93-11=82']
Exploring Operation: 82-77=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 77+82=159, Resulting Numbers: [159]
159,91 unequal: No Solution
Exploring Operation: 77*82=6314, Resulting Numbers: [6314]
6314,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
31,
7,
71
] | 22 | [
"7-4=3",
"31*3=93",
"93-71=22"
] | Current State: 22:[4, 31, 7, 71], Operations: []
Exploring Operation: 7-4=3, Resulting Numbers: [31, 71, 3]
Generated Node #2: [31, 71, 3] from Operation: 7-4=3
Current State: 22:[31, 71, 3], Operations: ['7-4=3']
Exploring Operation: 31*3=93, Resulting Numbers: [71, 93]
Generated Node #3: [71, 93] from Operation: 31*3=93
Current State: 22:[71, 93], Operations: ['7-4=3', '31*3=93']
Exploring Operation: 93-71=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[4, 31, 7, 71], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [4, 71, 24]
Generated Node #0,0: 22:[4, 71, 24] Operation: 31-7=24
Exploring Operation: 71-31=40, Resulting Numbers: [4, 7, 40]
Generated Node #0,1: 22:[4, 7, 40] Operation: 71-31=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[4, 7, 40], Operations: ['71-31=40']
Exploring Operation: 40/4=10, Resulting Numbers: [7, 10]
Generated Node #0,1,0: 22:[7, 10] Operation: 40/4=10
Exploring Operation: 40-7=33, Resulting Numbers: [4, 33]
Generated Node #0,1,1: 22:[4, 33] Operation: 40-7=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[7, 10], Operations: ['71-31=40', '40/4=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,22 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:[4, 33], Operations: ['71-31=40', '40-7=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,22 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:[4, 71, 24], Operations: ['31-7=24']
Exploring Operation: 71-24=47, Resulting Numbers: [4, 47]
Generated Node #0,0,0: 22:[4, 47] Operation: 71-24=47
Exploring Operation: 71-4=67, Resulting Numbers: [24, 67]
Generated Node #0,0,1: 22:[24, 67] Operation: 71-4=67
Moving to Node #0,0,0
Current State: 22:[4, 47], Operations: ['31-7=24', '71-24=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,22 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[24, 67], Operations: ['31-7=24', '71-4=67']
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,22 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
9,
11,
67,
5
] | 92 | [
"9+11=20",
"67+5=72",
"20+72=92"
] | Current State: 92:[9, 11, 67, 5], Operations: []
Exploring Operation: 9+11=20, Resulting Numbers: [67, 5, 20]
Generated Node #2: [67, 5, 20] from Operation: 9+11=20
Current State: 92:[67, 5, 20], Operations: ['9+11=20']
Exploring Operation: 67+5=72, Resulting Numbers: [20, 72]
Generated Node #3: [20, 72] from Operation: 67+5=72
Current State: 92:[20, 72], Operations: ['9+11=20', '67+5=72']
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[9, 11, 67, 5], Operations: []
Exploring Operation: 67-9=58, Resulting Numbers: [11, 5, 58]
Generated Node #0,0: 92:[11, 5, 58] Operation: 67-9=58
Exploring Operation: 67-11=56, Resulting Numbers: [9, 5, 56]
Generated Node #0,1: 92:[9, 5, 56] Operation: 67-11=56
Exploring Operation: 11-9=2, Resulting Numbers: [67, 5, 2]
Generated Node #0,2: 92:[67, 5, 2] Operation: 11-9=2
Exploring Operation: 11+67=78, Resulting Numbers: [9, 5, 78]
Generated Node #0,3: 92:[9, 5, 78] Operation: 11+67=78
Moving to Node #0,1
Current State: 92:[9, 5, 56], Operations: ['67-11=56']
Exploring Operation: 9*5=45, Resulting Numbers: [56, 45]
Generated Node #0,1,0: 92:[56, 45] Operation: 9*5=45
Exploring Operation: 56-9=47, Resulting Numbers: [5, 47]
Generated Node #0,1,1: 92:[5, 47] Operation: 56-9=47
Exploring Operation: 56-5=51, Resulting Numbers: [9, 51]
Generated Node #0,1,2: 92:[9, 51] Operation: 56-5=51
Exploring Operation: 9-5=4, Resulting Numbers: [56, 4]
Generated Node #0,1,3: 92:[56, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[5, 47], Operations: ['67-11=56', '56-9=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 5*47=235, Resulting Numbers: [235]
235,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[9, 51], Operations: ['67-11=56', '56-5=51']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,92 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[56, 4], Operations: ['67-11=56', '9-5=4']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,92 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[56, 45], Operations: ['67-11=56', '9*5=45']
Exploring Operation: 56*45=2520, Resulting Numbers: [2520]
2520,92 unequal: No Solution
Exploring Operation: 56+45=101, Resulting Numbers: [101]
101,92 unequal: No Solution
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,92 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: 92:[9, 5, 78], Operations: ['11+67=78']
Exploring Operation: 5+78=83, Resulting Numbers: [9, 83]
Generated Node #0,3,0: 92:[9, 83] Operation: 5+78=83
Exploring Operation: 9+78=87, Resulting Numbers: [5, 87]
Generated Node #0,3,1: 92:[5, 87] Operation: 9+78=87
Exploring Operation: 9*5=45, Resulting Numbers: [78, 45]
Generated Node #0,3,2: 92:[78, 45] Operation: 9*5=45
Exploring Operation: 9-5=4, Resulting Numbers: [78, 4]
Generated Node #0,3,3: 92:[78, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 92:[5, 87], Operations: ['11+67=78', '9+78=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[9, 11, 67, 5], Operations: []
Exploring Operation: 11+67=78, Resulting Numbers: [9, 5, 78]
Generated Node #0,3: 92:[9, 5, 78] Operation: 11+67=78
Moving to Node #0,3
Current State: 92:[9, 5, 78], Operations: ['11+67=78']
Exploring Operation: 9+78=87, Resulting Numbers: [5, 87]
Generated Node #0,3,1: 92:[5, 87] Operation: 9+78=87
Moving to Node #0,3,1
Current State: 92:[5, 87], Operations: ['11+67=78', '9+78=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
32,
15,
22,
11
] | 62 | [
"15*22=330",
"330/11=30",
"32+30=62"
] | Current State: 62:[32, 15, 22, 11], Operations: []
Exploring Operation: 15*22=330, Resulting Numbers: [32, 11, 330]
Generated Node #2: [32, 11, 330] from Operation: 15*22=330
Current State: 62:[32, 11, 330], Operations: ['15*22=330']
Exploring Operation: 330/11=30, Resulting Numbers: [32, 30]
Generated Node #3: [32, 30] from Operation: 330/11=30
Current State: 62:[32, 30], Operations: ['15*22=330', '330/11=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[32, 15, 22, 11], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [32, 11, 7]
Generated Node #0,0: 62:[32, 11, 7] Operation: 22-15=7
Exploring Operation: 15-11=4, Resulting Numbers: [32, 22, 4]
Generated Node #0,1: 62:[32, 22, 4] Operation: 15-11=4
Exploring Operation: 15+22=37, Resulting Numbers: [32, 11, 37]
Generated Node #0,2: 62:[32, 11, 37] Operation: 15+22=37
Exploring Operation: 15+11=26, Resulting Numbers: [32, 22, 26]
Generated Node #0,3: 62:[32, 22, 26] Operation: 15+11=26
Exploring Operation: 22/11=2, Resulting Numbers: [32, 15, 2]
Generated Node #0,4: 62:[32, 15, 2] Operation: 22/11=2
Moving to Node #0,1
Current State: 62:[32, 22, 4], Operations: ['15-11=4']
Exploring Operation: 32+4=36, Resulting Numbers: [22, 36]
Generated Node #0,1,0: 62:[22, 36] Operation: 32+4=36
Exploring Operation: 32-4=28, Resulting Numbers: [22, 28]
Generated Node #0,1,1: 62:[22, 28] Operation: 32-4=28
Exploring Operation: 32-22=10, Resulting Numbers: [4, 10]
Generated Node #0,1,2: 62:[4, 10] Operation: 32-22=10
Exploring Operation: 22+4=26, Resulting Numbers: [32, 26]
Generated Node #0,1,3: 62:[32, 26] Operation: 22+4=26
Exploring Operation: 32+22=54, Resulting Numbers: [4, 54]
Generated Node #0,1,4: 62:[4, 54] Operation: 32+22=54
Moving to Node #0,4
Current State: 62:[32, 15, 2], Operations: ['22/11=2']
Exploring Operation: 15-2=13, Resulting Numbers: [32, 13]
Generated Node #0,4,0: 62:[32, 13] Operation: 15-2=13
Exploring Operation: 15*2=30, Resulting Numbers: [32, 30]
Generated Node #0,4,1: 62:[32, 30] Operation: 15*2=30
Exploring Operation: 32-2=30, Resulting Numbers: [15, 30]
Generated Node #0,4,2: 62:[15, 30] Operation: 32-2=30
Exploring Operation: 32+15=47, Resulting Numbers: [2, 47]
Generated Node #0,4,3: 62:[2, 47] Operation: 32+15=47
Exploring Operation: 32-15=17, Resulting Numbers: [2, 17]
Generated Node #0,4,4: 62:[2, 17] Operation: 32-15=17
Moving to Node #0,0
Current State: 62:[32, 11, 7], Operations: ['22-15=7']
Exploring Operation: 11*7=77, Resulting Numbers: [32, 77]
Generated Node #0,0,0: 62:[32, 77] Operation: 11*7=77
Exploring Operation: 32-7=25, Resulting Numbers: [11, 25]
Generated Node #0,0,1: 62:[11, 25] Operation: 32-7=25
Exploring Operation: 32-11=21, Resulting Numbers: [7, 21]
Generated Node #0,0,2: 62:[7, 21] Operation: 32-11=21
Exploring Operation: 11+7=18, Resulting Numbers: [32, 18]
Generated Node #0,0,3: 62:[32, 18] Operation: 11+7=18
Exploring Operation: 11-7=4, Resulting Numbers: [32, 4]
Generated Node #0,0,4: 62:[32, 4] Operation: 11-7=4
Moving to Node #0,3
Current State: 62:[32, 22, 26], Operations: ['15+11=26']
Exploring Operation: 32+22=54, Resulting Numbers: [26, 54]
Generated Node #0,3,0: 62:[26, 54] Operation: 32+22=54
Exploring Operation: 32-22=10, Resulting Numbers: [26, 10]
Generated Node #0,3,1: 62:[26, 10] Operation: 32-22=10
Exploring Operation: 32-26=6, Resulting Numbers: [22, 6]
Generated Node #0,3,2: 62:[22, 6] Operation: 32-26=6
Exploring Operation: 26-22=4, Resulting Numbers: [32, 4]
Generated Node #0,3,3: 62:[32, 4] Operation: 26-22=4
Exploring Operation: 32+26=58, Resulting Numbers: [22, 58]
Generated Node #0,3,4: 62:[22, 58] Operation: 32+26=58
Moving to Node #0,2
Current State: 62:[32, 11, 37], Operations: ['15+22=37']
Exploring Operation: 32+37=69, Resulting Numbers: [11, 69]
Generated Node #0,2,0: 62:[11, 69] Operation: 32+37=69
Exploring Operation: 11+37=48, Resulting Numbers: [32, 48]
Generated Node #0,2,1: 62:[32, 48] Operation: 11+37=48
Exploring Operation: 32-11=21, Resulting Numbers: [37, 21]
Generated Node #0,2,2: 62:[37, 21] Operation: 32-11=21
Exploring Operation: 37-32=5, Resulting Numbers: [11, 5]
Generated Node #0,2,3: 62:[11, 5] Operation: 37-32=5
Exploring Operation: 37-11=26, Resulting Numbers: [32, 26]
Generated Node #0,2,4: 62:[32, 26] Operation: 37-11=26
Moving to Node #0,4,1
Current State: 62:[32, 30], Operations: ['22/11=2', '15*2=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[32, 15, 22, 11], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [32, 15, 2]
Generated Node #0,4: 62:[32, 15, 2] Operation: 22/11=2
Moving to Node #0,4
Current State: 62:[32, 15, 2], Operations: ['22/11=2']
Exploring Operation: 15*2=30, Resulting Numbers: [32, 30]
Generated Node #0,4,1: 62:[32, 30] Operation: 15*2=30
Moving to Node #0,4,1
Current State: 62:[32, 30], Operations: ['22/11=2', '15*2=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.969618 | hs_5 | mult_heuristic |
[
45,
92,
59,
10
] | 60 | [
"45*92=4140",
"59+10=69",
"4140/69=60"
] | Current State: 60:[45, 92, 59, 10], Operations: []
Exploring Operation: 45*92=4140, Resulting Numbers: [59, 10, 4140]
Generated Node #2: [59, 10, 4140] from Operation: 45*92=4140
Current State: 60:[59, 10, 4140], Operations: ['45*92=4140']
Exploring Operation: 59+10=69, Resulting Numbers: [4140, 69]
Generated Node #3: [4140, 69] from Operation: 59+10=69
Current State: 60:[4140, 69], Operations: ['45*92=4140', '59+10=69']
Exploring Operation: 4140/69=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[45, 92, 59, 10], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [59, 10, 47]
Generated Node #0,0: 60:[59, 10, 47] Operation: 92-45=47
Exploring Operation: 59-45=14, Resulting Numbers: [92, 10, 14]
Generated Node #0,1: 60:[92, 10, 14] Operation: 59-45=14
Exploring Operation: 92-59=33, Resulting Numbers: [45, 10, 33]
Generated Node #0,2: 60:[45, 10, 33] Operation: 92-59=33
Exploring Operation: 45+10=55, Resulting Numbers: [92, 59, 55]
Generated Node #0,3: 60:[92, 59, 55] Operation: 45+10=55
Moving to Node #0,0
Current State: 60:[59, 10, 47], Operations: ['92-45=47']
Exploring Operation: 10+47=57, Resulting Numbers: [59, 57]
Generated Node #0,0,0: 60:[59, 57] Operation: 10+47=57
Exploring Operation: 59-47=12, Resulting Numbers: [10, 12]
Generated Node #0,0,1: 60:[10, 12] Operation: 59-47=12
Exploring Operation: 59+10=69, Resulting Numbers: [47, 69]
Generated Node #0,0,2: 60:[47, 69] Operation: 59+10=69
Exploring Operation: 47-10=37, Resulting Numbers: [59, 37]
Generated Node #0,0,3: 60:[59, 37] Operation: 47-10=37
Moving to Node #0,2
Current State: 60:[45, 10, 33], Operations: ['92-59=33']
Exploring Operation: 45-10=35, Resulting Numbers: [33, 35]
Generated Node #0,2,0: 60:[33, 35] Operation: 45-10=35
Exploring Operation: 45+33=78, Resulting Numbers: [10, 78]
Generated Node #0,2,1: 60:[10, 78] Operation: 45+33=78
Exploring Operation: 45-33=12, Resulting Numbers: [10, 12]
Generated Node #0,2,2: 60:[10, 12] Operation: 45-33=12
Exploring Operation: 45+10=55, Resulting Numbers: [33, 55]
Generated Node #0,2,3: 60:[33, 55] Operation: 45+10=55
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[10, 12], Operations: ['92-59=33', '45-33=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 60:[33, 35], Operations: ['92-59=33', '45-10=35']
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 60:[33, 55], Operations: ['92-59=33', '45+10=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,60 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 60:[10, 78], Operations: ['92-59=33', '45+33=78']
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,60 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: 60:[92, 10, 14], Operations: ['59-45=14']
Exploring Operation: 92-14=78, Resulting Numbers: [10, 78]
Generated Node #0,1,0: 60:[10, 78] Operation: 92-14=78
Exploring Operation: 14-10=4, Resulting Numbers: [92, 4]
Generated Node #0,1,1: 60:[92, 4] Operation: 14-10=4
Exploring Operation: 10+14=24, Resulting Numbers: [92, 24]
Generated Node #0,1,2: 60:[92, 24] Operation: 10+14=24
Exploring Operation: 92-10=82, Resulting Numbers: [14, 82]
Generated Node #0,1,3: 60:[14, 82] Operation: 92-10=82
Moving to Node #0,3
Current State: 60:[92, 59, 55], Operations: ['45+10=55']
Exploring Operation: 92-55=37, Resulting Numbers: [59, 37]
Generated Node #0,3,0: 60:[59, 37] Operation: 92-55=37
Exploring Operation: 59-55=4, Resulting Numbers: [92, 4]
Generated Node #0,3,1: 60:[92, 4] Operation: 59-55=4
Exploring Operation: 92-59=33, Resulting Numbers: [55, 33]
Generated Node #0,3,2: 60:[55, 33] Operation: 92-59=33
Exploring Operation: 59+55=114, Resulting Numbers: [92, 114]
Generated Node #0,3,3: 60:[92, 114] Operation: 59+55=114
Moving to Node #0,0,1
Current State: 60:[10, 12], Operations: ['92-45=47', '59-47=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[59, 57], Operations: ['92-45=47', '10+47=57']
Exploring Operation: 59-57=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 59*57=3363, Resulting Numbers: [3363]
3363,60 unequal: No Solution
Exploring Operation: 59+57=116, Resulting Numbers: [116]
116,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[59, 37], Operations: ['92-45=47', '47-10=37']
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 59*37=2183, Resulting Numbers: [2183]
2183,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[55, 33], Operations: ['45+10=55', '92-59=33']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 55+33=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 55*33=1815, Resulting Numbers: [1815]
1815,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[59, 37], Operations: ['45+10=55', '92-55=37']
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 59*37=2183, Resulting Numbers: [2183]
2183,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[10, 78], Operations: ['59-45=14', '92-14=78']
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,60 unequal: No Solution
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[47, 69], Operations: ['92-45=47', '59+10=69']
Exploring Operation: 47+69=116, Resulting Numbers: [116]
116,60 unequal: No Solution
Exploring Operation: 69-47=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 47*69=3243, Resulting Numbers: [3243]
3243,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[14, 82], Operations: ['59-45=14', '92-10=82']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 14+82=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 14*82=1148, Resulting Numbers: [1148]
1148,60 unequal: No Solution
Moving to Node #0,3,1
Current State: 60:[92, 4], Operations: ['45+10=55', '59-55=4']
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,60 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[92, 4], Operations: ['59-45=14', '14-10=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,60 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[92, 24], Operations: ['59-45=14', '10+14=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,60 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[92, 114], Operations: ['45+10=55', '59+55=114']
Exploring Operation: 92*114=10488, Resulting Numbers: [10488]
10488,60 unequal: No Solution
Exploring Operation: 92+114=206, Resulting Numbers: [206]
206,60 unequal: No Solution
Exploring Operation: 114-92=22, Resulting Numbers: [22]
22,60 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
64,
99,
82,
31
] | 50 | [
"64+99=163",
"82+31=113",
"163-113=50"
] | Current State: 50:[64, 99, 82, 31], Operations: []
Exploring Operation: 64+99=163, Resulting Numbers: [82, 31, 163]
Generated Node #2: [82, 31, 163] from Operation: 64+99=163
Current State: 50:[82, 31, 163], Operations: ['64+99=163']
Exploring Operation: 82+31=113, Resulting Numbers: [163, 113]
Generated Node #3: [163, 113] from Operation: 82+31=113
Current State: 50:[163, 113], Operations: ['64+99=163', '82+31=113']
Exploring Operation: 163-113=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[64, 99, 82, 31], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [82, 31, 35]
Generated Node #0,0: 50:[82, 31, 35] Operation: 99-64=35
Exploring Operation: 82-64=18, Resulting Numbers: [99, 31, 18]
Generated Node #0,1: 50:[99, 31, 18] Operation: 82-64=18
Exploring Operation: 99-82=17, Resulting Numbers: [64, 31, 17]
Generated Node #0,2: 50:[64, 31, 17] Operation: 99-82=17
Moving to Node #0,2
Current State: 50:[64, 31, 17], Operations: ['99-82=17']
Exploring Operation: 64-31=33, Resulting Numbers: [17, 33]
Generated Node #0,2,0: 50:[17, 33] Operation: 64-31=33
Exploring Operation: 64-17=47, Resulting Numbers: [31, 47]
Generated Node #0,2,1: 50:[31, 47] Operation: 64-17=47
Exploring Operation: 31+17=48, Resulting Numbers: [64, 48]
Generated Node #0,2,2: 50:[64, 48] Operation: 31+17=48
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[31, 47], Operations: ['99-82=17', '64-17=47']
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 31*47=1457, Resulting Numbers: [1457]
1457,50 unequal: No Solution
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[17, 33], Operations: ['99-82=17', '64-31=33']
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,50 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[64, 99, 82, 31], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [64, 31, 17]
Generated Node #0,2: 50:[64, 31, 17] Operation: 99-82=17
Moving to Node #0,2
Current State: 50:[64, 31, 17], Operations: ['99-82=17']
Exploring Operation: 64-31=33, Resulting Numbers: [17, 33]
Generated Node #0,2,0: 50:[17, 33] Operation: 64-31=33
Moving to Node #0,2,0
Current State: 50:[17, 33], Operations: ['99-82=17', '64-31=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
2,
90,
9,
33
] | 86 | [
"90/9=10",
"33+10=43",
"2*43=86"
] | Current State: 86:[2, 90, 9, 33], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [2, 33, 10]
Generated Node #2: [2, 33, 10] from Operation: 90/9=10
Current State: 86:[2, 33, 10], Operations: ['90/9=10']
Exploring Operation: 33+10=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 33+10=43
Current State: 86:[2, 43], Operations: ['90/9=10', '33+10=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[2, 90, 9, 33], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [2, 33, 10]
Generated Node #0,0: 86:[2, 33, 10] Operation: 90/9=10
Exploring Operation: 9+33=42, Resulting Numbers: [2, 90, 42]
Generated Node #0,1: 86:[2, 90, 42] Operation: 9+33=42
Exploring Operation: 90-9=81, Resulting Numbers: [2, 33, 81]
Generated Node #0,2: 86:[2, 33, 81] Operation: 90-9=81
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[2, 90, 42], Operations: ['9+33=42']
Exploring Operation: 2+42=44, Resulting Numbers: [90, 44]
Generated Node #0,1,0: 86:[90, 44] Operation: 2+42=44
Exploring Operation: 90-2=88, Resulting Numbers: [42, 88]
Generated Node #0,1,1: 86:[42, 88] Operation: 90-2=88
Exploring Operation: 90/2=45, Resulting Numbers: [42, 45]
Generated Node #0,1,2: 86:[42, 45] Operation: 90/2=45
Moving to Node #0,1,1
Current State: 86:[42, 88], Operations: ['9+33=42', '90-2=88']
Exploring Operation: 42+88=130, Resulting Numbers: [130]
130,86 unequal: No Solution
Exploring Operation: 42*88=3696, Resulting Numbers: [3696]
3696,86 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[42, 45], Operations: ['9+33=42', '90/2=45']
Exploring Operation: 42+45=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 42*45=1890, Resulting Numbers: [1890]
1890,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[90, 44], Operations: ['9+33=42', '2+42=44']
Exploring Operation: 90+44=134, Resulting Numbers: [134]
134,86 unequal: No Solution
Exploring Operation: 90*44=3960, Resulting Numbers: [3960]
3960,86 unequal: No Solution
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,86 unequal: No Solution
No 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: 86:[2, 33, 81], Operations: ['90-9=81']
Exploring Operation: 2+81=83, Resulting Numbers: [33, 83]
Generated Node #0,2,0: 86:[33, 83] Operation: 2+81=83
Exploring Operation: 81-33=48, Resulting Numbers: [2, 48]
Generated Node #0,2,1: 86:[2, 48] Operation: 81-33=48
Exploring Operation: 2+33=35, Resulting Numbers: [81, 35]
Generated Node #0,2,2: 86:[81, 35] Operation: 2+33=35
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[2, 48], Operations: ['90-9=81', '81-33=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,86 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 #0,2,0
Current State: 86:[33, 83], Operations: ['90-9=81', '2+81=83']
Exploring Operation: 33+83=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 33*83=2739, Resulting Numbers: [2739]
2739,86 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 #0,2,2
Current State: 86:[81, 35], Operations: ['90-9=81', '2+33=35']
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Exploring Operation: 81+35=116, Resulting Numbers: [116]
116,86 unequal: No Solution
Exploring Operation: 81*35=2835, Resulting Numbers: [2835]
2835,86 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 #0,0
Current State: 86:[2, 33, 10], Operations: ['90/9=10']
Exploring Operation: 10/2=5, Resulting Numbers: [33, 5]
Generated Node #0,0,0: 86:[33, 5] Operation: 10/2=5
Exploring Operation: 33+10=43, Resulting Numbers: [2, 43]
Generated Node #0,0,1: 86:[2, 43] Operation: 33+10=43
Exploring Operation: 2+33=35, Resulting Numbers: [10, 35]
Generated Node #0,0,2: 86:[10, 35] Operation: 2+33=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[2, 43], Operations: ['90/9=10', '33+10=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,86 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[2, 90, 9, 33], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [2, 33, 10]
Generated Node #0,0: 86:[2, 33, 10] Operation: 90/9=10
Moving to Node #0,0
Current State: 86:[2, 33, 10], Operations: ['90/9=10']
Exploring Operation: 33+10=43, Resulting Numbers: [2, 43]
Generated Node #0,0,1: 86:[2, 43] Operation: 33+10=43
Moving to Node #0,0,1
Current State: 86:[2, 43], Operations: ['90/9=10', '33+10=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | sum_heuristic |
[
61,
32,
80,
85
] | 34 | [
"61-32=29",
"85-80=5",
"29+5=34"
] | Current State: 34:[61, 32, 80, 85], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [80, 85, 29]
Generated Node #2: [80, 85, 29] from Operation: 61-32=29
Current State: 34:[80, 85, 29], Operations: ['61-32=29']
Exploring Operation: 85-80=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 85-80=5
Current State: 34:[29, 5], Operations: ['61-32=29', '85-80=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[61, 32, 80, 85], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [61, 32, 5]
Generated Node #0,0: 34:[61, 32, 5] Operation: 85-80=5
Exploring Operation: 85-61=24, Resulting Numbers: [32, 80, 24]
Generated Node #0,1: 34:[32, 80, 24] Operation: 85-61=24
Exploring Operation: 80-61=19, Resulting Numbers: [32, 85, 19]
Generated Node #0,2: 34:[32, 85, 19] Operation: 80-61=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[61, 32, 5], Operations: ['85-80=5']
Exploring Operation: 32+5=37, Resulting Numbers: [61, 37]
Generated Node #0,0,0: 34:[61, 37] Operation: 32+5=37
Exploring Operation: 61-32=29, Resulting Numbers: [5, 29]
Generated Node #0,0,1: 34:[5, 29] Operation: 61-32=29
Exploring Operation: 61-5=56, Resulting Numbers: [32, 56]
Generated Node #0,0,2: 34:[32, 56] Operation: 61-5=56
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 34:[5, 29], Operations: ['85-80=5', '61-32=29']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[61, 32, 80, 85], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [61, 32, 5]
Generated Node #0,0: 34:[61, 32, 5] Operation: 85-80=5
Moving to Node #0,0
Current State: 34:[61, 32, 5], Operations: ['85-80=5']
Exploring Operation: 61-32=29, Resulting Numbers: [5, 29]
Generated Node #0,0,1: 34:[5, 29] Operation: 61-32=29
Moving to Node #0,0,1
Current State: 34:[5, 29], Operations: ['85-80=5', '61-32=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
24,
4,
59,
44
] | 13 | [
"24+4=28",
"59-44=15",
"28-15=13"
] | Current State: 13:[24, 4, 59, 44], Operations: []
Exploring Operation: 24+4=28, Resulting Numbers: [59, 44, 28]
Generated Node #2: [59, 44, 28] from Operation: 24+4=28
Current State: 13:[59, 44, 28], Operations: ['24+4=28']
Exploring Operation: 59-44=15, Resulting Numbers: [28, 15]
Generated Node #3: [28, 15] from Operation: 59-44=15
Current State: 13:[28, 15], Operations: ['24+4=28', '59-44=15']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[24, 4, 59, 44], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [24, 59, 11]
Generated Node #0,0: 13:[24, 59, 11] Operation: 44/4=11
Exploring Operation: 59-24=35, Resulting Numbers: [4, 44, 35]
Generated Node #0,1: 13:[4, 44, 35] Operation: 59-24=35
Exploring Operation: 59-44=15, Resulting Numbers: [24, 4, 15]
Generated Node #0,2: 13:[24, 4, 15] Operation: 59-44=15
Exploring Operation: 44-24=20, Resulting Numbers: [4, 59, 20]
Generated Node #0,3: 13:[4, 59, 20] Operation: 44-24=20
Moving to Node #0,2
Current State: 13:[24, 4, 15], Operations: ['59-44=15']
Exploring Operation: 24-4=20, Resulting Numbers: [15, 20]
Generated Node #0,2,0: 13:[15, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [15, 6]
Generated Node #0,2,1: 13:[15, 6] Operation: 24/4=6
Exploring Operation: 24-15=9, Resulting Numbers: [4, 9]
Generated Node #0,2,2: 13:[4, 9] Operation: 24-15=9
Exploring Operation: 15-4=11, Resulting Numbers: [24, 11]
Generated Node #0,2,3: 13:[24, 11] Operation: 15-4=11
Moving to Node #0,0
Current State: 13:[24, 59, 11], Operations: ['44/4=11']
Exploring Operation: 24+11=35, Resulting Numbers: [59, 35]
Generated Node #0,0,0: 13:[59, 35] Operation: 24+11=35
Exploring Operation: 59-24=35, Resulting Numbers: [11, 35]
Generated Node #0,0,1: 13:[11, 35] Operation: 59-24=35
Exploring Operation: 59-11=48, Resulting Numbers: [24, 48]
Generated Node #0,0,2: 13:[24, 48] Operation: 59-11=48
Exploring Operation: 24-11=13, Resulting Numbers: [59, 13]
Generated Node #0,0,3: 13:[59, 13] Operation: 24-11=13
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[11, 35], Operations: ['44/4=11', '59-24=35']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 11*35=385, Resulting Numbers: [385]
385,13 unequal: No Solution
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,13 unequal: No Solution
No 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: 13:[24, 48], Operations: ['44/4=11', '59-11=48']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,13 unequal: No Solution
Exploring Operation: 24*48=1152, Resulting Numbers: [1152]
1152,13 unequal: No Solution
No 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: 13:[59, 13], Operations: ['44/4=11', '24-11=13']
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,13 unequal: No Solution
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,13 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,13 unequal: No Solution
No 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: 13:[59, 35], Operations: ['44/4=11', '24+11=35']
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 59*35=2065, Resulting Numbers: [2065]
2065,13 unequal: No Solution
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,13 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: 13:[4, 59, 20], Operations: ['44-24=20']
Exploring Operation: 59-4=55, Resulting Numbers: [20, 55]
Generated Node #0,3,0: 13:[20, 55] Operation: 59-4=55
Exploring Operation: 59-20=39, Resulting Numbers: [4, 39]
Generated Node #0,3,1: 13:[4, 39] Operation: 59-20=39
Exploring Operation: 20/4=5, Resulting Numbers: [59, 5]
Generated Node #0,3,2: 13:[59, 5] Operation: 20/4=5
Exploring Operation: 20-4=16, Resulting Numbers: [59, 16]
Generated Node #0,3,3: 13:[59, 16] Operation: 20-4=16
Moving to Node #0,1
Current State: 13:[4, 44, 35], Operations: ['59-24=35']
Exploring Operation: 44/4=11, Resulting Numbers: [35, 11]
Generated Node #0,1,0: 13:[35, 11] Operation: 44/4=11
Exploring Operation: 44-35=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 13:[4, 9] Operation: 44-35=9
Exploring Operation: 35-4=31, Resulting Numbers: [44, 31]
Generated Node #0,1,2: 13:[44, 31] Operation: 35-4=31
Exploring Operation: 44-4=40, Resulting Numbers: [35, 40]
Generated Node #0,1,3: 13:[35, 40] Operation: 44-4=40
Moving to Node #0,2,0
Current State: 13:[15, 20], Operations: ['59-44=15', '24-4=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[15, 6], Operations: ['59-44=15', '24/4=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,13 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[4, 9], Operations: ['59-44=15', '24-15=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[24, 4, 59, 44], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [24, 4, 15]
Generated Node #0,2: 13:[24, 4, 15] Operation: 59-44=15
Moving to Node #0,2
Current State: 13:[24, 4, 15], Operations: ['59-44=15']
Exploring Operation: 24-15=9, Resulting Numbers: [4, 9]
Generated Node #0,2,2: 13:[4, 9] Operation: 24-15=9
Moving to Node #0,2,2
Current State: 13:[4, 9], Operations: ['59-44=15', '24-15=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.960069 | hs_4 | sum_heuristic |
[
91,
97,
83,
2
] | 95 | [
"97-91=6",
"2*6=12",
"83+12=95"
] | Current State: 95:[91, 97, 83, 2], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [83, 2, 6]
Generated Node #2: [83, 2, 6] from Operation: 97-91=6
Current State: 95:[83, 2, 6], Operations: ['97-91=6']
Exploring Operation: 2*6=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 2*6=12
Current State: 95:[83, 12], Operations: ['97-91=6', '2*6=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[91, 97, 83, 2], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [83, 2, 6]
Generated Node #0,0: 95:[83, 2, 6] Operation: 97-91=6
Exploring Operation: 97-83=14, Resulting Numbers: [91, 2, 14]
Generated Node #0,1: 95:[91, 2, 14] Operation: 97-83=14
Exploring Operation: 91-83=8, Resulting Numbers: [97, 2, 8]
Generated Node #0,2: 95:[97, 2, 8] Operation: 91-83=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[97, 2, 8], Operations: ['91-83=8']
Exploring Operation: 8/2=4, Resulting Numbers: [97, 4]
Generated Node #0,2,0: 95:[97, 4] Operation: 8/2=4
Exploring Operation: 97-2=95, Resulting Numbers: [8, 95]
Generated Node #0,2,1: 95:[8, 95] Operation: 97-2=95
Exploring Operation: 8-2=6, Resulting Numbers: [97, 6]
Generated Node #0,2,2: 95:[97, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[97, 4], Operations: ['91-83=8', '8/2=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Exploring Operation: 97*4=388, Resulting Numbers: [388]
388,95 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,95 unequal: No Solution
No 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: 95:[8, 95], Operations: ['91-83=8', '97-2=95']
Exploring Operation: 8*95=760, Resulting Numbers: [760]
760,95 unequal: No Solution
Exploring Operation: 8+95=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,95 unequal: No Solution
No 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: 95:[97, 6], Operations: ['91-83=8', '8-2=6']
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,95 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,95 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: 95:[91, 2, 14], Operations: ['97-83=14']
Exploring Operation: 91+2=93, Resulting Numbers: [14, 93]
Generated Node #0,1,0: 95:[14, 93] Operation: 91+2=93
Exploring Operation: 2+14=16, Resulting Numbers: [91, 16]
Generated Node #0,1,1: 95:[91, 16] Operation: 2+14=16
Exploring Operation: 14/2=7, Resulting Numbers: [91, 7]
Generated Node #0,1,2: 95:[91, 7] Operation: 14/2=7
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[91, 7], Operations: ['97-83=14', '14/2=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,95 unequal: No Solution
No 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: 95:[14, 93], Operations: ['97-83=14', '91+2=93']
Exploring Operation: 14*93=1302, Resulting Numbers: [1302]
1302,95 unequal: No Solution
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 14+93=107, Resulting Numbers: [107]
107,95 unequal: No Solution
No 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: 95:[91, 16], Operations: ['97-83=14', '2+14=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,95 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,95 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: 95:[83, 2, 6], Operations: ['97-91=6']
Exploring Operation: 83+2=85, Resulting Numbers: [6, 85]
Generated Node #0,0,0: 95:[6, 85] Operation: 83+2=85
Exploring Operation: 6-2=4, Resulting Numbers: [83, 4]
Generated Node #0,0,1: 95:[83, 4] Operation: 6-2=4
Exploring Operation: 83+6=89, Resulting Numbers: [2, 89]
Generated Node #0,0,2: 95:[2, 89] Operation: 83+6=89
Moving to Node #0,0,2
Current State: 95:[2, 89], Operations: ['97-91=6', '83+6=89']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,95 unequal: No Solution
Exploring Operation: 2+89=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 2*89=178, Resulting Numbers: [178]
178,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[6, 85], Operations: ['97-91=6', '83+2=85']
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 6*85=510, Resulting Numbers: [510]
510,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[83, 4], Operations: ['97-91=6', '6-2=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,95 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,95 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 |
[
60,
5,
46,
3
] | 10 | [
"60/5=12",
"3*12=36",
"46-36=10"
] | Current State: 10:[60, 5, 46, 3], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [46, 3, 12]
Generated Node #2: [46, 3, 12] from Operation: 60/5=12
Current State: 10:[46, 3, 12], Operations: ['60/5=12']
Exploring Operation: 3*12=36, Resulting Numbers: [46, 36]
Generated Node #3: [46, 36] from Operation: 3*12=36
Current State: 10:[46, 36], Operations: ['60/5=12', '3*12=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[60, 5, 46, 3], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [5, 3, 14]
Generated Node #0,0: 10:[5, 3, 14] Operation: 60-46=14
Moving to Node #0,0
Current State: 10:[5, 3, 14], Operations: ['60-46=14']
Exploring Operation: 14-3=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 10:[5, 11] Operation: 14-3=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[5, 11], Operations: ['60-46=14', '14-3=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,10 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 |
[
33,
36,
21,
66
] | 99 | [
"33+21=54",
"66*54=3564",
"3564/36=99"
] | Current State: 99:[33, 36, 21, 66], Operations: []
Exploring Operation: 33+21=54, Resulting Numbers: [36, 66, 54]
Generated Node #2: [36, 66, 54] from Operation: 33+21=54
Current State: 99:[36, 66, 54], Operations: ['33+21=54']
Exploring Operation: 66*54=3564, Resulting Numbers: [36, 3564]
Generated Node #3: [36, 3564] from Operation: 66*54=3564
Current State: 99:[36, 3564], Operations: ['33+21=54', '66*54=3564']
Exploring Operation: 3564/36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[33, 36, 21, 66], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [36, 21, 33]
Generated Node #0,0: 99:[36, 21, 33] Operation: 66-33=33
Exploring Operation: 33+66=99, Resulting Numbers: [36, 21, 99]
Generated Node #0,1: 99:[36, 21, 99] Operation: 33+66=99
Exploring Operation: 36+66=102, Resulting Numbers: [33, 21, 102]
Generated Node #0,2: 99:[33, 21, 102] Operation: 36+66=102
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[36, 21, 33], Operations: ['66-33=33']
Exploring Operation: 33-21=12, Resulting Numbers: [36, 12]
Generated Node #0,0,0: 99:[36, 12] Operation: 33-21=12
Exploring Operation: 36-33=3, Resulting Numbers: [21, 3]
Generated Node #0,0,1: 99:[21, 3] Operation: 36-33=3
Exploring Operation: 36-21=15, Resulting Numbers: [33, 15]
Generated Node #0,0,2: 99:[33, 15] Operation: 36-21=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[36, 12], Operations: ['66-33=33', '33-21=12']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 99:[33, 15], Operations: ['66-33=33', '36-21=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,99 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,99 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 99:[21, 3], Operations: ['66-33=33', '36-33=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[36, 21, 99], Operations: ['33+66=99']
Exploring Operation: 21+99=120, Resulting Numbers: [36, 120]
Generated Node #0,1,0: 99:[36, 120] Operation: 21+99=120
Exploring Operation: 36+21=57, Resulting Numbers: [99, 57]
Generated Node #0,1,1: 99:[99, 57] Operation: 36+21=57
Exploring Operation: 36-21=15, Resulting Numbers: [99, 15]
Generated Node #0,1,2: 99:[99, 15] Operation: 36-21=15
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[99, 15], Operations: ['33+66=99', '36-21=15']
Exploring Operation: 99+15=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 99*15=1485, Resulting Numbers: [1485]
1485,99 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[36, 120], Operations: ['33+66=99', '21+99=120']
Exploring Operation: 36+120=156, Resulting Numbers: [156]
156,99 unequal: No Solution
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 36*120=4320, Resulting Numbers: [4320]
4320,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[99, 57], Operations: ['33+66=99', '36+21=57']
Exploring Operation: 99*57=5643, Resulting Numbers: [5643]
5643,99 unequal: No Solution
Exploring Operation: 99+57=156, Resulting Numbers: [156]
156,99 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[33, 21, 102], Operations: ['36+66=102']
Exploring Operation: 33-21=12, Resulting Numbers: [102, 12]
Generated Node #0,2,0: 99:[102, 12] Operation: 33-21=12
Exploring Operation: 33+21=54, Resulting Numbers: [102, 54]
Generated Node #0,2,1: 99:[102, 54] Operation: 33+21=54
Exploring Operation: 102-21=81, Resulting Numbers: [33, 81]
Generated Node #0,2,2: 99:[33, 81] Operation: 102-21=81
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 99:[102, 12], Operations: ['36+66=102', '33-21=12']
Exploring Operation: 102+12=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 102*12=1224, Resulting Numbers: [1224]
1224,99 unequal: No Solution
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 99:[33, 81], Operations: ['36+66=102', '102-21=81']
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 99:[102, 54], Operations: ['36+66=102', '33+21=54']
Exploring Operation: 102-54=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 102*54=5508, Resulting Numbers: [5508]
5508,99 unequal: No Solution
Exploring Operation: 102+54=156, Resulting Numbers: [156]
156,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
90,
39,
13,
98
] | 65 | [
"98-90=8",
"13*8=104",
"104-39=65"
] | Current State: 65:[90, 39, 13, 98], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [39, 13, 8]
Generated Node #2: [39, 13, 8] from Operation: 98-90=8
Current State: 65:[39, 13, 8], Operations: ['98-90=8']
Exploring Operation: 13*8=104, Resulting Numbers: [39, 104]
Generated Node #3: [39, 104] from Operation: 13*8=104
Current State: 65:[39, 104], Operations: ['98-90=8', '13*8=104']
Exploring Operation: 104-39=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[90, 39, 13, 98], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [90, 13, 59]
Generated Node #0,0: 65:[90, 13, 59] Operation: 98-39=59
Exploring Operation: 98-90=8, Resulting Numbers: [39, 13, 8]
Generated Node #0,1: 65:[39, 13, 8] Operation: 98-90=8
Exploring Operation: 90-39=51, Resulting Numbers: [13, 98, 51]
Generated Node #0,2: 65:[13, 98, 51] Operation: 90-39=51
Moving to Node #0,1
Current State: 65:[39, 13, 8], Operations: ['98-90=8']
Exploring Operation: 39+13=52, Resulting Numbers: [8, 52]
Generated Node #0,1,0: 65:[8, 52] Operation: 39+13=52
Exploring Operation: 39-13=26, Resulting Numbers: [8, 26]
Generated Node #0,1,1: 65:[8, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [8, 3]
Generated Node #0,1,2: 65:[8, 3] Operation: 39/13=3
Moving to Node #0,0
Current State: 65:[90, 13, 59], Operations: ['98-39=59']
Exploring Operation: 13+59=72, Resulting Numbers: [90, 72]
Generated Node #0,0,0: 65:[90, 72] Operation: 13+59=72
Exploring Operation: 90-59=31, Resulting Numbers: [13, 31]
Generated Node #0,0,1: 65:[13, 31] Operation: 90-59=31
Exploring Operation: 90-13=77, Resulting Numbers: [59, 77]
Generated Node #0,0,2: 65:[59, 77] Operation: 90-13=77
Moving to Node #0,2
Current State: 65:[13, 98, 51], Operations: ['90-39=51']
Exploring Operation: 98-51=47, Resulting Numbers: [13, 47]
Generated Node #0,2,0: 65:[13, 47] Operation: 98-51=47
Exploring Operation: 98-13=85, Resulting Numbers: [51, 85]
Generated Node #0,2,1: 65:[51, 85] Operation: 98-13=85
Exploring Operation: 13+51=64, Resulting Numbers: [98, 64]
Generated Node #0,2,2: 65:[98, 64] Operation: 13+51=64
Moving to Node #0,1,2
Current State: 65:[8, 3], Operations: ['98-90=8', '39/13=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,65 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[8, 26], Operations: ['98-90=8', '39-13=26']
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[8, 52], Operations: ['98-90=8', '39+13=52']
Exploring Operation: 8*52=416, Resulting Numbers: [416]
416,65 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[13, 47], Operations: ['90-39=51', '98-51=47']
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 13*47=611, Resulting Numbers: [611]
611,65 unequal: No Solution
Exploring Operation: 13+47=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[59, 77], Operations: ['98-39=59', '90-13=77']
Exploring Operation: 59*77=4543, Resulting Numbers: [4543]
4543,65 unequal: No Solution
Exploring Operation: 59+77=136, Resulting Numbers: [136]
136,65 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[13, 31], Operations: ['98-39=59', '90-59=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,65 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[90, 72], Operations: ['98-39=59', '13+59=72']
Exploring Operation: 90+72=162, Resulting Numbers: [162]
162,65 unequal: No Solution
Exploring Operation: 90*72=6480, Resulting Numbers: [6480]
6480,65 unequal: No Solution
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[98, 64], Operations: ['90-39=51', '13+51=64']
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,65 unequal: No Solution
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,65 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[51, 85], Operations: ['90-39=51', '98-13=85']
Exploring Operation: 51*85=4335, Resulting Numbers: [4335]
4335,65 unequal: No Solution
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 51+85=136, Resulting Numbers: [136]
136,65 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
91,
7,
48,
60
] | 95 | [
"91/7=13",
"48+60=108",
"108-13=95"
] | Current State: 95:[91, 7, 48, 60], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [48, 60, 13]
Generated Node #2: [48, 60, 13] from Operation: 91/7=13
Current State: 95:[48, 60, 13], Operations: ['91/7=13']
Exploring Operation: 48+60=108, Resulting Numbers: [13, 108]
Generated Node #3: [13, 108] from Operation: 48+60=108
Current State: 95:[13, 108], Operations: ['91/7=13', '48+60=108']
Exploring Operation: 108-13=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[91, 7, 48, 60], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [7, 48, 31]
Generated Node #0,0: 95:[7, 48, 31] Operation: 91-60=31
Exploring Operation: 48+60=108, Resulting Numbers: [91, 7, 108]
Generated Node #0,1: 95:[91, 7, 108] Operation: 48+60=108
Exploring Operation: 60-48=12, Resulting Numbers: [91, 7, 12]
Generated Node #0,2: 95:[91, 7, 12] Operation: 60-48=12
Moving to Node #0,2
Current State: 95:[91, 7, 12], Operations: ['60-48=12']
Exploring Operation: 91+7=98, Resulting Numbers: [12, 98]
Generated Node #0,2,0: 95:[12, 98] Operation: 91+7=98
Exploring Operation: 7+12=19, Resulting Numbers: [91, 19]
Generated Node #0,2,1: 95:[91, 19] Operation: 7+12=19
Exploring Operation: 12-7=5, Resulting Numbers: [91, 5]
Generated Node #0,2,2: 95:[91, 5] Operation: 12-7=5
Moving to Node #0,1
Current State: 95:[91, 7, 108], Operations: ['48+60=108']
Exploring Operation: 108-91=17, Resulting Numbers: [7, 17]
Generated Node #0,1,0: 95:[7, 17] Operation: 108-91=17
Exploring Operation: 108-7=101, Resulting Numbers: [91, 101]
Generated Node #0,1,1: 95:[91, 101] Operation: 108-7=101
Exploring Operation: 91+7=98, Resulting Numbers: [108, 98]
Generated Node #0,1,2: 95:[108, 98] Operation: 91+7=98
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[7, 17], Operations: ['48+60=108', '108-91=17']
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,95 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[91, 101], Operations: ['48+60=108', '108-7=101']
Exploring Operation: 91+101=192, Resulting Numbers: [192]
192,95 unequal: No Solution
Exploring Operation: 101-91=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 91*101=9191, Resulting Numbers: [9191]
9191,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[108, 98], Operations: ['48+60=108', '91+7=98']
Exploring Operation: 108*98=10584, Resulting Numbers: [10584]
10584,95 unequal: No Solution
Exploring Operation: 108-98=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 108+98=206, Resulting Numbers: [206]
206,95 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: 95:[7, 48, 31], Operations: ['91-60=31']
Exploring Operation: 48+31=79, Resulting Numbers: [7, 79]
Generated Node #0,0,0: 95:[7, 79] Operation: 48+31=79
Exploring Operation: 48-31=17, Resulting Numbers: [7, 17]
Generated Node #0,0,1: 95:[7, 17] Operation: 48-31=17
Exploring Operation: 48-7=41, Resulting Numbers: [31, 41]
Generated Node #0,0,2: 95:[31, 41] Operation: 48-7=41
Moving to Node #0,2,1
Current State: 95:[91, 19], Operations: ['60-48=12', '7+12=19']
Exploring Operation: 91*19=1729, Resulting Numbers: [1729]
1729,95 unequal: No Solution
Exploring Operation: 91+19=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 91-19=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[91, 5], Operations: ['60-48=12', '12-7=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 91*5=455, Resulting Numbers: [455]
455,95 unequal: No Solution
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[7, 17], Operations: ['91-60=31', '48-31=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[12, 98], Operations: ['60-48=12', '91+7=98']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 12*98=1176, Resulting Numbers: [1176]
1176,95 unequal: No Solution
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[7, 79], Operations: ['91-60=31', '48+31=79']
Exploring Operation: 7+79=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 7*79=553, Resulting Numbers: [553]
553,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[31, 41], Operations: ['91-60=31', '48-7=41']
Exploring Operation: 31+41=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 31*41=1271, Resulting Numbers: [1271]
1271,95 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
80,
81,
62,
38
] | 40 | [
"81-62=19",
"80*19=1520",
"1520/38=40"
] | Current State: 40:[80, 81, 62, 38], Operations: []
Exploring Operation: 81-62=19, Resulting Numbers: [80, 38, 19]
Generated Node #2: [80, 38, 19] from Operation: 81-62=19
Current State: 40:[80, 38, 19], Operations: ['81-62=19']
Exploring Operation: 80*19=1520, Resulting Numbers: [38, 1520]
Generated Node #3: [38, 1520] from Operation: 80*19=1520
Current State: 40:[38, 1520], Operations: ['81-62=19', '80*19=1520']
Exploring Operation: 1520/38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[80, 81, 62, 38], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [62, 38, 1]
Generated Node #0,0: 40:[62, 38, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 40:[62, 38, 1], Operations: ['81-80=1']
Exploring Operation: 62-38=24, Resulting Numbers: [1, 24]
Generated Node #0,0,0: 40:[1, 24] Operation: 62-38=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[1, 24], Operations: ['81-80=1', '62-38=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,40 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 |
[
72,
13,
78,
65
] | 83 | [
"78+65=143",
"143/13=11",
"72+11=83"
] | Current State: 83:[72, 13, 78, 65], Operations: []
Exploring Operation: 78+65=143, Resulting Numbers: [72, 13, 143]
Generated Node #2: [72, 13, 143] from Operation: 78+65=143
Current State: 83:[72, 13, 143], Operations: ['78+65=143']
Exploring Operation: 143/13=11, Resulting Numbers: [72, 11]
Generated Node #3: [72, 11] from Operation: 143/13=11
Current State: 83:[72, 11], Operations: ['78+65=143', '143/13=11']
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[72, 13, 78, 65], Operations: []
Exploring Operation: 72+13=85, Resulting Numbers: [78, 65, 85]
Generated Node #0,0: 83:[78, 65, 85] Operation: 72+13=85
Exploring Operation: 13+65=78, Resulting Numbers: [72, 78, 78]
Generated Node #0,1: 83:[72, 78, 78] Operation: 13+65=78
Exploring Operation: 78-13=65, Resulting Numbers: [72, 65, 65]
Generated Node #0,2: 83:[72, 65, 65] Operation: 78-13=65
Exploring Operation: 72-13=59, Resulting Numbers: [78, 65, 59]
Generated Node #0,3: 83:[78, 65, 59] Operation: 72-13=59
Exploring Operation: 13+78=91, Resulting Numbers: [72, 65, 91]
Generated Node #0,4: 83:[72, 65, 91] Operation: 13+78=91
Moving to Node #0,1
Current State: 83:[72, 78, 78], Operations: ['13+65=78']
Exploring Operation: 72+78=150, Resulting Numbers: [78, 150]
Generated Node #0,1,0: 83:[78, 150] Operation: 72+78=150
Exploring Operation: 78-72=6, Resulting Numbers: [78, 6]
Generated Node #0,1,1: 83:[78, 6] Operation: 78-72=6
Exploring Operation: 72+78=150, Resulting Numbers: [78, 150]
Generated Node #0,1,2: 83:[78, 150] Operation: 72+78=150
Exploring Operation: 78+78=156, Resulting Numbers: [72, 156]
Generated Node #0,1,3: 83:[72, 156] Operation: 78+78=156
Exploring Operation: 78-72=6, Resulting Numbers: [78, 6]
Generated Node #0,1,4: 83:[78, 6] Operation: 78-72=6
Moving to Node #0,0
Current State: 83:[78, 65, 85], Operations: ['72+13=85']
Exploring Operation: 78-65=13, Resulting Numbers: [85, 13]
Generated Node #0,0,0: 83:[85, 13] Operation: 78-65=13
Exploring Operation: 85-78=7, Resulting Numbers: [65, 7]
Generated Node #0,0,1: 83:[65, 7] Operation: 85-78=7
Exploring Operation: 85-65=20, Resulting Numbers: [78, 20]
Generated Node #0,0,2: 83:[78, 20] Operation: 85-65=20
Exploring Operation: 78+65=143, Resulting Numbers: [85, 143]
Generated Node #0,0,3: 83:[85, 143] Operation: 78+65=143
Exploring Operation: 65+85=150, Resulting Numbers: [78, 150]
Generated Node #0,0,4: 83:[78, 150] Operation: 65+85=150
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[85, 143], Operations: ['72+13=85', '78+65=143']
Exploring Operation: 143-85=58, Resulting Numbers: [58]
58,83 unequal: No Solution
Exploring Operation: 85*143=12155, Resulting Numbers: [12155]
12155,83 unequal: No Solution
Exploring Operation: 85+143=228, Resulting Numbers: [228]
228,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[78, 20], Operations: ['72+13=85', '85-65=20']
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 78*20=1560, Resulting Numbers: [1560]
1560,83 unequal: No Solution
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[85, 13], Operations: ['72+13=85', '78-65=13']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 85+13=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 85*13=1105, Resulting Numbers: [1105]
1105,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 83:[78, 150], Operations: ['72+13=85', '65+85=150']
Exploring Operation: 78+150=228, Resulting Numbers: [228]
228,83 unequal: No Solution
Exploring Operation: 150-78=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 78*150=11700, Resulting Numbers: [11700]
11700,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[65, 7], Operations: ['72+13=85', '85-78=7']
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,83 unequal: No Solution
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,83 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: 83:[72, 65, 91], Operations: ['13+78=91']
Exploring Operation: 91-65=26, Resulting Numbers: [72, 26]
Generated Node #0,4,0: 83:[72, 26] Operation: 91-65=26
Exploring Operation: 72-65=7, Resulting Numbers: [91, 7]
Generated Node #0,4,1: 83:[91, 7] Operation: 72-65=7
Exploring Operation: 91-72=19, Resulting Numbers: [65, 19]
Generated Node #0,4,2: 83:[65, 19] Operation: 91-72=19
Exploring Operation: 65+91=156, Resulting Numbers: [72, 156]
Generated Node #0,4,3: 83:[72, 156] Operation: 65+91=156
Exploring Operation: 72+65=137, Resulting Numbers: [91, 137]
Generated Node #0,4,4: 83:[91, 137] Operation: 72+65=137
Moving to Node #0,2
Current State: 83:[72, 65, 65], Operations: ['78-13=65']
Exploring Operation: 72+65=137, Resulting Numbers: [65, 137]
Generated Node #0,2,0: 83:[65, 137] Operation: 72+65=137
Exploring Operation: 72+65=137, Resulting Numbers: [65, 137]
Generated Node #0,2,1: 83:[65, 137] Operation: 72+65=137
Exploring Operation: 72-65=7, Resulting Numbers: [65, 7]
Generated Node #0,2,2: 83:[65, 7] Operation: 72-65=7
Exploring Operation: 65/65=1, Resulting Numbers: [72, 1]
Generated Node #0,2,3: 83:[72, 1] Operation: 65/65=1
Exploring Operation: 65+65=130, Resulting Numbers: [72, 130]
Generated Node #0,2,4: 83:[72, 130] Operation: 65+65=130
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 83:[72, 130], Operations: ['78-13=65', '65+65=130']
Exploring Operation: 72+130=202, Resulting Numbers: [202]
202,83 unequal: No Solution
Exploring Operation: 130-72=58, Resulting Numbers: [58]
58,83 unequal: No Solution
Exploring Operation: 72*130=9360, Resulting Numbers: [9360]
9360,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[65, 137], Operations: ['78-13=65', '72+65=137']
Exploring Operation: 137-65=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 65+137=202, Resulting Numbers: [202]
202,83 unequal: No Solution
Exploring Operation: 65*137=8905, Resulting Numbers: [8905]
8905,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[65, 137], Operations: ['78-13=65', '72+65=137']
Exploring Operation: 65*137=8905, Resulting Numbers: [8905]
8905,83 unequal: No Solution
Exploring Operation: 65+137=202, Resulting Numbers: [202]
202,83 unequal: No Solution
Exploring Operation: 137-65=72, Resulting Numbers: [72]
72,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 83:[72, 1], Operations: ['78-13=65', '65/65=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[65, 7], Operations: ['78-13=65', '72-65=7']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,83 unequal: No Solution
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,83 unequal: No Solution
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,83 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: 83:[78, 65, 59], Operations: ['72-13=59']
Exploring Operation: 78-59=19, Resulting Numbers: [65, 19]
Generated Node #0,3,0: 83:[65, 19] Operation: 78-59=19
Exploring Operation: 65-59=6, Resulting Numbers: [78, 6]
Generated Node #0,3,1: 83:[78, 6] Operation: 65-59=6
Exploring Operation: 78+65=143, Resulting Numbers: [59, 143]
Generated Node #0,3,2: 83:[59, 143] Operation: 78+65=143
Exploring Operation: 65+59=124, Resulting Numbers: [78, 124]
Generated Node #0,3,3: 83:[78, 124] Operation: 65+59=124
Exploring Operation: 78+59=137, Resulting Numbers: [65, 137]
Generated Node #0,3,4: 83:[65, 137] Operation: 78+59=137
Moving to Node #0,3,3
Current State: 83:[78, 124], Operations: ['72-13=59', '65+59=124']
Exploring Operation: 78*124=9672, Resulting Numbers: [9672]
9672,83 unequal: No Solution
Exploring Operation: 78+124=202, Resulting Numbers: [202]
202,83 unequal: No Solution
Exploring Operation: 124-78=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[91, 137], Operations: ['13+78=91', '72+65=137']
Exploring Operation: 91*137=12467, Resulting Numbers: [12467]
12467,83 unequal: No Solution
Exploring Operation: 91+137=228, Resulting Numbers: [228]
228,83 unequal: No Solution
Exploring Operation: 137-91=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[72, 26], Operations: ['13+78=91', '91-65=26']
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,83 unequal: No Solution
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[78, 150], Operations: ['13+65=78', '72+78=150']
Exploring Operation: 78+150=228, Resulting Numbers: [228]
228,83 unequal: No Solution
Exploring Operation: 78*150=11700, Resulting Numbers: [11700]
11700,83 unequal: No Solution
Exploring Operation: 150-78=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[65, 137], Operations: ['72-13=59', '78+59=137']
Exploring Operation: 137-65=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 65+137=202, Resulting Numbers: [202]
202,83 unequal: No Solution
Exploring Operation: 65*137=8905, Resulting Numbers: [8905]
8905,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[78, 150], Operations: ['13+65=78', '72+78=150']
Exploring Operation: 78+150=228, Resulting Numbers: [228]
228,83 unequal: No Solution
Exploring Operation: 78*150=11700, Resulting Numbers: [11700]
11700,83 unequal: No Solution
Exploring Operation: 150-78=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[78, 6], Operations: ['72-13=59', '65-59=6']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,83 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[65, 19], Operations: ['72-13=59', '78-59=19']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 65*19=1235, Resulting Numbers: [1235]
1235,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[78, 6], Operations: ['13+65=78', '78-72=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[78, 6], Operations: ['13+65=78', '78-72=6']
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,83 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[65, 19], Operations: ['13+78=91', '91-72=19']
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,83 unequal: No Solution
Exploring Operation: 65*19=1235, Resulting Numbers: [1235]
1235,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[72, 156], Operations: ['13+78=91', '65+91=156']
Exploring Operation: 72*156=11232, Resulting Numbers: [11232]
11232,83 unequal: No Solution
Exploring Operation: 72+156=228, Resulting Numbers: [228]
228,83 unequal: No Solution
Exploring Operation: 156-72=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[91, 7], Operations: ['13+78=91', '72-65=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,83 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[72, 156], Operations: ['13+65=78', '78+78=156']
Exploring Operation: 156-72=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 72*156=11232, Resulting Numbers: [11232]
11232,83 unequal: No Solution
Exploring Operation: 72+156=228, Resulting Numbers: [228]
228,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[59, 143], Operations: ['72-13=59', '78+65=143']
Exploring Operation: 143-59=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 59*143=8437, Resulting Numbers: [8437]
8437,83 unequal: No Solution
Exploring Operation: 59+143=202, Resulting Numbers: [202]
202,83 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
10,
29,
11,
57
] | 82 | [
"10*11=110",
"57-29=28",
"110-28=82"
] | Current State: 82:[10, 29, 11, 57], Operations: []
Exploring Operation: 10*11=110, Resulting Numbers: [29, 57, 110]
Generated Node #2: [29, 57, 110] from Operation: 10*11=110
Current State: 82:[29, 57, 110], Operations: ['10*11=110']
Exploring Operation: 57-29=28, Resulting Numbers: [110, 28]
Generated Node #3: [110, 28] from Operation: 57-29=28
Current State: 82:[110, 28], Operations: ['10*11=110', '57-29=28']
Exploring Operation: 110-28=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[10, 29, 11, 57], Operations: []
Exploring Operation: 57-10=47, Resulting Numbers: [29, 11, 47]
Generated Node #0,0: 82:[29, 11, 47] Operation: 57-10=47
Exploring Operation: 10+29=39, Resulting Numbers: [11, 57, 39]
Generated Node #0,1: 82:[11, 57, 39] Operation: 10+29=39
Exploring Operation: 29+57=86, Resulting Numbers: [10, 11, 86]
Generated Node #0,2: 82:[10, 11, 86] Operation: 29+57=86
Exploring Operation: 29+11=40, Resulting Numbers: [10, 57, 40]
Generated Node #0,3: 82:[10, 57, 40] Operation: 29+11=40
Exploring Operation: 57-11=46, Resulting Numbers: [10, 29, 46]
Generated Node #0,4: 82:[10, 29, 46] Operation: 57-11=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[10, 11, 86], Operations: ['29+57=86']
Exploring Operation: 86-11=75, Resulting Numbers: [10, 75]
Generated Node #0,2,0: 82:[10, 75] Operation: 86-11=75
Exploring Operation: 10+86=96, Resulting Numbers: [11, 96]
Generated Node #0,2,1: 82:[11, 96] Operation: 10+86=96
Exploring Operation: 86-10=76, Resulting Numbers: [11, 76]
Generated Node #0,2,2: 82:[11, 76] Operation: 86-10=76
Exploring Operation: 11-10=1, Resulting Numbers: [86, 1]
Generated Node #0,2,3: 82:[86, 1] Operation: 11-10=1
Exploring Operation: 10+11=21, Resulting Numbers: [86, 21]
Generated Node #0,2,4: 82:[86, 21] Operation: 10+11=21
Moving to Node #0,2,3
Current State: 82:[86, 1], Operations: ['29+57=86', '11-10=1']
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,82 unequal: No Solution
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[11, 76], Operations: ['29+57=86', '86-10=76']
Exploring Operation: 11*76=836, Resulting Numbers: [836]
836,82 unequal: No Solution
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 11+76=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[10, 75], Operations: ['29+57=86', '86-11=75']
Exploring Operation: 10+75=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 10*75=750, Resulting Numbers: [750]
750,82 unequal: No Solution
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[11, 96], Operations: ['29+57=86', '10+86=96']
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,82 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Moving to Node #0,2,4
Current State: 82:[86, 21], Operations: ['29+57=86', '10+11=21']
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 86*21=1806, Resulting Numbers: [1806]
1806,82 unequal: No Solution
Exploring Operation: 86+21=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[10, 57, 40], Operations: ['29+11=40']
Exploring Operation: 10+57=67, Resulting Numbers: [40, 67]
Generated Node #0,3,0: 82:[40, 67] Operation: 10+57=67
Exploring Operation: 40/10=4, Resulting Numbers: [57, 4]
Generated Node #0,3,1: 82:[57, 4] Operation: 40/10=4
Exploring Operation: 57-10=47, Resulting Numbers: [40, 47]
Generated Node #0,3,2: 82:[40, 47] Operation: 57-10=47
Exploring Operation: 57-40=17, Resulting Numbers: [10, 17]
Generated Node #0,3,3: 82:[10, 17] Operation: 57-40=17
Exploring Operation: 57+40=97, Resulting Numbers: [10, 97]
Generated Node #0,3,4: 82:[10, 97] Operation: 57+40=97
Moving to Node #0,3,2
Current State: 82:[40, 47], Operations: ['29+11=40', '57-10=47']
Exploring Operation: 40+47=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 40*47=1880, Resulting Numbers: [1880]
1880,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[40, 67], Operations: ['29+11=40', '10+57=67']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,82 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[57, 4], Operations: ['29+11=40', '40/10=4']
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,82 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,82 unequal: No Solution
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[10, 17], Operations: ['29+11=40', '57-40=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,82 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[10, 97], Operations: ['29+11=40', '57+40=97']
Exploring Operation: 10+97=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 97-10=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 10*97=970, Resulting Numbers: [970]
970,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 82:[10, 29, 46], Operations: ['57-11=46']
Exploring Operation: 46-10=36, Resulting Numbers: [29, 36]
Generated Node #0,4,0: 82:[29, 36] Operation: 46-10=36
Exploring Operation: 46-29=17, Resulting Numbers: [10, 17]
Generated Node #0,4,1: 82:[10, 17] Operation: 46-29=17
Exploring Operation: 10+29=39, Resulting Numbers: [46, 39]
Generated Node #0,4,2: 82:[46, 39] Operation: 10+29=39
Exploring Operation: 29+46=75, Resulting Numbers: [10, 75]
Generated Node #0,4,3: 82:[10, 75] Operation: 29+46=75
Exploring Operation: 29-10=19, Resulting Numbers: [46, 19]
Generated Node #0,4,4: 82:[46, 19] Operation: 29-10=19
Moving to Node #0,4,2
Current State: 82:[46, 39], Operations: ['57-11=46', '10+29=39']
Exploring Operation: 46*39=1794, Resulting Numbers: [1794]
1794,82 unequal: No Solution
Exploring Operation: 46+39=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Moving to Node #0,4,3
Current State: 82:[10, 75], Operations: ['57-11=46', '29+46=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 10*75=750, Resulting Numbers: [750]
750,82 unequal: No Solution
Exploring Operation: 10+75=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Moving to Node #0,4,0
Current State: 82:[29, 36], Operations: ['57-11=46', '46-10=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,82 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Moving to Node #0,4,4
Current State: 82:[46, 19], Operations: ['57-11=46', '29-10=19']
Exploring Operation: 46*19=874, Resulting Numbers: [874]
874,82 unequal: No Solution
Exploring Operation: 46+19=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,82 unequal: No Solution
Moving to Node #0,4,1
Current State: 82:[10, 17], Operations: ['57-11=46', '46-29=17']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,82 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[29, 11, 47], Operations: ['57-10=47']
Exploring Operation: 47-11=36, Resulting Numbers: [29, 36]
Generated Node #0,0,0: 82:[29, 36] Operation: 47-11=36
Exploring Operation: 29-11=18, Resulting Numbers: [47, 18]
Generated Node #0,0,1: 82:[47, 18] Operation: 29-11=18
Exploring Operation: 29+47=76, Resulting Numbers: [11, 76]
Generated Node #0,0,2: 82:[11, 76] Operation: 29+47=76
Exploring Operation: 29+11=40, Resulting Numbers: [47, 40]
Generated Node #0,0,3: 82:[47, 40] Operation: 29+11=40
Exploring Operation: 47-29=18, Resulting Numbers: [11, 18]
Generated Node #0,0,4: 82:[11, 18] Operation: 47-29=18
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 82:[47, 40], Operations: ['57-10=47', '29+11=40']
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 47*40=1880, Resulting Numbers: [1880]
1880,82 unequal: No Solution
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[11, 76], Operations: ['57-10=47', '29+47=76']
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 11+76=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 11*76=836, Resulting Numbers: [836]
836,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[29, 36], Operations: ['57-10=47', '47-11=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,82 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[47, 18], Operations: ['57-10=47', '29-11=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,82 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 82:[11, 18], Operations: ['57-10=47', '47-29=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[11, 57, 39], Operations: ['10+29=39']
Exploring Operation: 57+39=96, Resulting Numbers: [11, 96]
Generated Node #0,1,0: 82:[11, 96] Operation: 57+39=96
Exploring Operation: 11+57=68, Resulting Numbers: [39, 68]
Generated Node #0,1,1: 82:[39, 68] Operation: 11+57=68
Exploring Operation: 57-39=18, Resulting Numbers: [11, 18]
Generated Node #0,1,2: 82:[11, 18] Operation: 57-39=18
Exploring Operation: 11+39=50, Resulting Numbers: [57, 50]
Generated Node #0,1,3: 82:[57, 50] Operation: 11+39=50
Exploring Operation: 57-11=46, Resulting Numbers: [39, 46]
Generated Node #0,1,4: 82:[39, 46] Operation: 57-11=46
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 82:[39, 46], Operations: ['10+29=39', '57-11=46']
Exploring Operation: 39+46=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 39*46=1794, Resulting Numbers: [1794]
1794,82 unequal: No Solution
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[39, 68], Operations: ['10+29=39', '11+57=68']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 39+68=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 39*68=2652, Resulting Numbers: [2652]
2652,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[11, 96], Operations: ['10+29=39', '57+39=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[11, 18], Operations: ['10+29=39', '57-39=18']
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,82 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 82:[57, 50], Operations: ['10+29=39', '11+39=50']
Exploring Operation: 57+50=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 57*50=2850, Resulting Numbers: [2850]
2850,82 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
28,
8,
34,
69
] | 56 | [
"28+34=62",
"69-62=7",
"8*7=56"
] | Current State: 56:[28, 8, 34, 69], Operations: []
Exploring Operation: 28+34=62, Resulting Numbers: [8, 69, 62]
Generated Node #2: [8, 69, 62] from Operation: 28+34=62
Current State: 56:[8, 69, 62], Operations: ['28+34=62']
Exploring Operation: 69-62=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 69-62=7
Current State: 56:[8, 7], Operations: ['28+34=62', '69-62=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[28, 8, 34, 69], Operations: []
Exploring Operation: 69-8=61, Resulting Numbers: [28, 34, 61]
Generated Node #0,0: 56:[28, 34, 61] Operation: 69-8=61
Exploring Operation: 34-28=6, Resulting Numbers: [8, 69, 6]
Generated Node #0,1: 56:[8, 69, 6] Operation: 34-28=6
Exploring Operation: 69-34=35, Resulting Numbers: [28, 8, 35]
Generated Node #0,2: 56:[28, 8, 35] Operation: 69-34=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[28, 8, 35], Operations: ['69-34=35']
Exploring Operation: 35-28=7, Resulting Numbers: [8, 7]
Generated Node #0,2,0: 56:[8, 7] Operation: 35-28=7
Exploring Operation: 28+35=63, Resulting Numbers: [8, 63]
Generated Node #0,2,1: 56:[8, 63] Operation: 28+35=63
Exploring Operation: 35-8=27, Resulting Numbers: [28, 27]
Generated Node #0,2,2: 56:[28, 27] Operation: 35-8=27
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[8, 7], Operations: ['69-34=35', '35-28=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[28, 8, 34, 69], Operations: []
Exploring Operation: 69-34=35, Resulting Numbers: [28, 8, 35]
Generated Node #0,2: 56:[28, 8, 35] Operation: 69-34=35
Moving to Node #0,2
Current State: 56:[28, 8, 35], Operations: ['69-34=35']
Exploring Operation: 35-28=7, Resulting Numbers: [8, 7]
Generated Node #0,2,0: 56:[8, 7] Operation: 35-28=7
Moving to Node #0,2,0
Current State: 56:[8, 7], Operations: ['69-34=35', '35-28=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
10,
41,
93,
74
] | 70 | [
"10+41=51",
"93-74=19",
"51+19=70"
] | Current State: 70:[10, 41, 93, 74], Operations: []
Exploring Operation: 10+41=51, Resulting Numbers: [93, 74, 51]
Generated Node #2: [93, 74, 51] from Operation: 10+41=51
Current State: 70:[93, 74, 51], Operations: ['10+41=51']
Exploring Operation: 93-74=19, Resulting Numbers: [51, 19]
Generated Node #3: [51, 19] from Operation: 93-74=19
Current State: 70:[51, 19], Operations: ['10+41=51', '93-74=19']
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[10, 41, 93, 74], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [10, 41, 19]
Generated Node #0,0: 70:[10, 41, 19] Operation: 93-74=19
Exploring Operation: 93-10=83, Resulting Numbers: [41, 74, 83]
Generated Node #0,1: 70:[41, 74, 83] Operation: 93-10=83
Exploring Operation: 93-41=52, Resulting Numbers: [10, 74, 52]
Generated Node #0,2: 70:[10, 74, 52] Operation: 93-41=52
Moving to Node #0,0
Current State: 70:[10, 41, 19], Operations: ['93-74=19']
Exploring Operation: 19-10=9, Resulting Numbers: [41, 9]
Generated Node #0,0,0: 70:[41, 9] Operation: 19-10=9
Exploring Operation: 41-10=31, Resulting Numbers: [19, 31]
Generated Node #0,0,1: 70:[19, 31] Operation: 41-10=31
Exploring Operation: 41-19=22, Resulting Numbers: [10, 22]
Generated Node #0,0,2: 70:[10, 22] Operation: 41-19=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[41, 9], Operations: ['93-74=19', '19-10=9']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,70 unequal: No Solution
No 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: 70:[10, 22], Operations: ['93-74=19', '41-19=22']
Exploring Operation: 10*22=220, Resulting Numbers: [220]
220,70 unequal: No Solution
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,70 unequal: No Solution
No 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: 70:[19, 31], Operations: ['93-74=19', '41-10=31']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 19*31=589, Resulting Numbers: [589]
589,70 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: 70:[10, 74, 52], Operations: ['93-41=52']
Exploring Operation: 74-52=22, Resulting Numbers: [10, 22]
Generated Node #0,2,0: 70:[10, 22] Operation: 74-52=22
Exploring Operation: 10+52=62, Resulting Numbers: [74, 62]
Generated Node #0,2,1: 70:[74, 62] Operation: 10+52=62
Exploring Operation: 52-10=42, Resulting Numbers: [74, 42]
Generated Node #0,2,2: 70:[74, 42] Operation: 52-10=42
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[10, 22], Operations: ['93-41=52', '74-52=22']
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 10*22=220, Resulting Numbers: [220]
220,70 unequal: No Solution
No 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: 70:[74, 42], Operations: ['93-41=52', '52-10=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 74+42=116, Resulting Numbers: [116]
116,70 unequal: No Solution
Exploring Operation: 74*42=3108, Resulting Numbers: [3108]
3108,70 unequal: No Solution
No 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: 70:[74, 62], Operations: ['93-41=52', '10+52=62']
Exploring Operation: 74*62=4588, Resulting Numbers: [4588]
4588,70 unequal: No Solution
Exploring Operation: 74+62=136, Resulting Numbers: [136]
136,70 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,70 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: 70:[41, 74, 83], Operations: ['93-10=83']
Exploring Operation: 83-41=42, Resulting Numbers: [74, 42]
Generated Node #0,1,0: 70:[74, 42] Operation: 83-41=42
Exploring Operation: 83-74=9, Resulting Numbers: [41, 9]
Generated Node #0,1,1: 70:[41, 9] Operation: 83-74=9
Exploring Operation: 74-41=33, Resulting Numbers: [83, 33]
Generated Node #0,1,2: 70:[83, 33] Operation: 74-41=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[41, 9], Operations: ['93-10=83', '83-74=9']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,70 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,70 unequal: No Solution
No 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: 70:[74, 42], Operations: ['93-10=83', '83-41=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 74*42=3108, Resulting Numbers: [3108]
3108,70 unequal: No Solution
Exploring Operation: 74+42=116, Resulting Numbers: [116]
116,70 unequal: No Solution
No 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: 70:[83, 33], Operations: ['93-10=83', '74-41=33']
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,70 unequal: No Solution
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
59,
3,
58,
56
] | 51 | [
"59+58=117",
"3*56=168",
"168-117=51"
] | Current State: 51:[59, 3, 58, 56], Operations: []
Exploring Operation: 59+58=117, Resulting Numbers: [3, 56, 117]
Generated Node #2: [3, 56, 117] from Operation: 59+58=117
Current State: 51:[3, 56, 117], Operations: ['59+58=117']
Exploring Operation: 3*56=168, Resulting Numbers: [117, 168]
Generated Node #3: [117, 168] from Operation: 3*56=168
Current State: 51:[117, 168], Operations: ['59+58=117', '3*56=168']
Exploring Operation: 168-117=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[59, 3, 58, 56], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [3, 58, 3]
Generated Node #0,0: 51:[3, 58, 3] Operation: 59-56=3
Exploring Operation: 58-56=2, Resulting Numbers: [59, 3, 2]
Generated Node #0,1: 51:[59, 3, 2] Operation: 58-56=2
Exploring Operation: 59-58=1, Resulting Numbers: [3, 56, 1]
Generated Node #0,2: 51:[3, 56, 1] Operation: 59-58=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[3, 58, 3], Operations: ['59-56=3']
Exploring Operation: 3/3=1, Resulting Numbers: [58, 1]
Generated Node #0,0,0: 51:[58, 1] Operation: 3/3=1
Exploring Operation: 58-3=55, Resulting Numbers: [3, 55]
Generated Node #0,0,1: 51:[3, 55] Operation: 58-3=55
Exploring Operation: 58-3=55, Resulting Numbers: [3, 55]
Generated Node #0,0,2: 51:[3, 55] Operation: 58-3=55
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[3, 55], Operations: ['59-56=3', '58-3=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,51 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,51 unequal: No Solution
No 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: 51:[3, 55], Operations: ['59-56=3', '58-3=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,51 unequal: No Solution
No 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: 51:[58, 1], Operations: ['59-56=3', '3/3=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,51 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: 51:[3, 56, 1], Operations: ['59-58=1']
Exploring Operation: 3*1=3, Resulting Numbers: [56, 3]
Generated Node #0,2,0: 51:[56, 3] Operation: 3*1=3
Exploring Operation: 56-3=53, Resulting Numbers: [1, 53]
Generated Node #0,2,1: 51:[1, 53] Operation: 56-3=53
Exploring Operation: 56-1=55, Resulting Numbers: [3, 55]
Generated Node #0,2,2: 51:[3, 55] Operation: 56-1=55
Moving to Node #0,2,1
Current State: 51:[1, 53], Operations: ['59-58=1', '56-3=53']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 1*53=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[3, 55], Operations: ['59-58=1', '56-1=55']
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,51 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[56, 3], Operations: ['59-58=1', '3*1=3']
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,51 unequal: No Solution
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[59, 3, 2], Operations: ['58-56=2']
Exploring Operation: 59+2=61, Resulting Numbers: [3, 61]
Generated Node #0,1,0: 51:[3, 61] Operation: 59+2=61
Exploring Operation: 59-2=57, Resulting Numbers: [3, 57]
Generated Node #0,1,1: 51:[3, 57] Operation: 59-2=57
Exploring Operation: 59-3=56, Resulting Numbers: [2, 56]
Generated Node #0,1,2: 51:[2, 56] Operation: 59-3=56
Moving to Node #0,1,1
Current State: 51:[3, 57], Operations: ['58-56=2', '59-2=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[2, 56], Operations: ['58-56=2', '59-3=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,51 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[3, 61], Operations: ['58-56=2', '59+2=61']
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,51 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
63,
6,
83,
8
] | 19 | [
"63+6=69",
"83+69=152",
"152/8=19"
] | Current State: 19:[63, 6, 83, 8], Operations: []
Exploring Operation: 63+6=69, Resulting Numbers: [83, 8, 69]
Generated Node #2: [83, 8, 69] from Operation: 63+6=69
Current State: 19:[83, 8, 69], Operations: ['63+6=69']
Exploring Operation: 83+69=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 83+69=152
Current State: 19:[8, 152], Operations: ['63+6=69', '83+69=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[63, 6, 83, 8], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [63, 8, 77]
Generated Node #0,0: 19:[63, 8, 77] Operation: 83-6=77
Exploring Operation: 63-6=57, Resulting Numbers: [83, 8, 57]
Generated Node #0,1: 19:[83, 8, 57] Operation: 63-6=57
Exploring Operation: 83-63=20, Resulting Numbers: [6, 8, 20]
Generated Node #0,2: 19:[6, 8, 20] Operation: 83-63=20
Exploring Operation: 63-8=55, Resulting Numbers: [6, 83, 55]
Generated Node #0,3: 19:[6, 83, 55] Operation: 63-8=55
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[6, 8, 20], Operations: ['83-63=20']
Exploring Operation: 8-6=2, Resulting Numbers: [20, 2]
Generated Node #0,2,0: 19:[20, 2] Operation: 8-6=2
Exploring Operation: 20-6=14, Resulting Numbers: [8, 14]
Generated Node #0,2,1: 19:[8, 14] Operation: 20-6=14
Exploring Operation: 6+20=26, Resulting Numbers: [8, 26]
Generated Node #0,2,2: 19:[8, 26] Operation: 6+20=26
Exploring Operation: 6+8=14, Resulting Numbers: [20, 14]
Generated Node #0,2,3: 19:[20, 14] Operation: 6+8=14
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 19:[20, 14], Operations: ['83-63=20', '6+8=14']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 20*14=280, Resulting Numbers: [280]
280,19 unequal: No Solution
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[8, 14], Operations: ['83-63=20', '20-6=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 19:[20, 2], Operations: ['83-63=20', '8-6=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[8, 26], Operations: ['83-63=20', '6+20=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,19 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[63, 8, 77], Operations: ['83-6=77']
Exploring Operation: 77-63=14, Resulting Numbers: [8, 14]
Generated Node #0,0,0: 19:[8, 14] Operation: 77-63=14
Exploring Operation: 63+8=71, Resulting Numbers: [77, 71]
Generated Node #0,0,1: 19:[77, 71] Operation: 63+8=71
Exploring Operation: 77-8=69, Resulting Numbers: [63, 69]
Generated Node #0,0,2: 19:[63, 69] Operation: 77-8=69
Exploring Operation: 63-8=55, Resulting Numbers: [77, 55]
Generated Node #0,0,3: 19:[77, 55] Operation: 63-8=55
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[8, 14], Operations: ['83-6=77', '77-63=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[63, 69], Operations: ['83-6=77', '77-8=69']
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 63+69=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 63*69=4347, Resulting Numbers: [4347]
4347,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 19:[77, 55], Operations: ['83-6=77', '63-8=55']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 77+55=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 77*55=4235, Resulting Numbers: [4235]
4235,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[77, 71], Operations: ['83-6=77', '63+8=71']
Exploring Operation: 77+71=148, Resulting Numbers: [148]
148,19 unequal: No Solution
Exploring Operation: 77*71=5467, Resulting Numbers: [5467]
5467,19 unequal: No Solution
Exploring Operation: 77-71=6, Resulting Numbers: [6]
6,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[83, 8, 57], Operations: ['63-6=57']
Exploring Operation: 57-8=49, Resulting Numbers: [83, 49]
Generated Node #0,1,0: 19:[83, 49] Operation: 57-8=49
Exploring Operation: 83-57=26, Resulting Numbers: [8, 26]
Generated Node #0,1,1: 19:[8, 26] Operation: 83-57=26
Exploring Operation: 83-8=75, Resulting Numbers: [57, 75]
Generated Node #0,1,2: 19:[57, 75] Operation: 83-8=75
Exploring Operation: 83+8=91, Resulting Numbers: [57, 91]
Generated Node #0,1,3: 19:[57, 91] Operation: 83+8=91
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[8, 26], Operations: ['63-6=57', '83-57=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,19 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[83, 49], Operations: ['63-6=57', '57-8=49']
Exploring Operation: 83*49=4067, Resulting Numbers: [4067]
4067,19 unequal: No Solution
Exploring Operation: 83+49=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[57, 75], Operations: ['63-6=57', '83-8=75']
Exploring Operation: 57*75=4275, Resulting Numbers: [4275]
4275,19 unequal: No Solution
Exploring Operation: 75-57=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 57+75=132, Resulting Numbers: [132]
132,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[57, 91], Operations: ['63-6=57', '83+8=91']
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,19 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[6, 83, 55], Operations: ['63-8=55']
Exploring Operation: 6+83=89, Resulting Numbers: [55, 89]
Generated Node #0,3,0: 19:[55, 89] Operation: 6+83=89
Exploring Operation: 83-55=28, Resulting Numbers: [6, 28]
Generated Node #0,3,1: 19:[6, 28] Operation: 83-55=28
Exploring Operation: 83-6=77, Resulting Numbers: [55, 77]
Generated Node #0,3,2: 19:[55, 77] Operation: 83-6=77
Exploring Operation: 55-6=49, Resulting Numbers: [83, 49]
Generated Node #0,3,3: 19:[83, 49] Operation: 55-6=49
Moving to Node #0,3,1
Current State: 19:[6, 28], Operations: ['63-8=55', '83-55=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,19 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[83, 49], Operations: ['63-8=55', '55-6=49']
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 83+49=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 83*49=4067, Resulting Numbers: [4067]
4067,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[55, 77], Operations: ['63-8=55', '83-6=77']
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,19 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[55, 89], Operations: ['63-8=55', '6+83=89']
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 55*89=4895, Resulting Numbers: [4895]
4895,19 unequal: No Solution
Exploring Operation: 55+89=144, Resulting Numbers: [144]
144,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
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