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 |
|---|---|---|---|---|---|---|---|---|
[
15,
46,
25,
96
] | 60 | [
"15+46=61",
"25+96=121",
"121-61=60"
] | Current State: 60:[15, 46, 25, 96], Operations: []
Exploring Operation: 15+46=61, Resulting Numbers: [25, 96, 61]
Generated Node #2: [25, 96, 61] from Operation: 15+46=61
Current State: 60:[25, 96, 61], Operations: ['15+46=61']
Exploring Operation: 25+96=121, Resulting Numbers: [61, 121]
Generated Node #3: [61, 121] from Operation: 25+96=121
Current State: 60:[61, 121], Operations: ['15+46=61', '25+96=121']
Exploring Operation: 121-61=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[15, 46, 25, 96], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [46, 25, 81]
Generated Node #0,0: 60:[46, 25, 81] Operation: 96-15=81
Exploring Operation: 46-25=21, Resulting Numbers: [15, 96, 21]
Generated Node #0,1: 60:[15, 96, 21] Operation: 46-25=21
Exploring Operation: 96-46=50, Resulting Numbers: [15, 25, 50]
Generated Node #0,2: 60:[15, 25, 50] Operation: 96-46=50
Exploring Operation: 96-25=71, Resulting Numbers: [15, 46, 71]
Generated Node #0,3: 60:[15, 46, 71] Operation: 96-25=71
Moving to Node #0,2
Current State: 60:[15, 25, 50], Operations: ['96-46=50']
Exploring Operation: 50/25=2, Resulting Numbers: [15, 2]
Generated Node #0,2,0: 60:[15, 2] Operation: 50/25=2
Exploring Operation: 15+50=65, Resulting Numbers: [25, 65]
Generated Node #0,2,1: 60:[25, 65] Operation: 15+50=65
Exploring Operation: 25-15=10, Resulting Numbers: [50, 10]
Generated Node #0,2,2: 60:[50, 10] Operation: 25-15=10
Exploring Operation: 50-25=25, Resulting Numbers: [15, 25]
Generated Node #0,2,3: 60:[15, 25] Operation: 50-25=25
Moving to Node #0,3
Current State: 60:[15, 46, 71], Operations: ['96-25=71']
Exploring Operation: 15+46=61, Resulting Numbers: [71, 61]
Generated Node #0,3,0: 60:[71, 61] Operation: 15+46=61
Exploring Operation: 46-15=31, Resulting Numbers: [71, 31]
Generated Node #0,3,1: 60:[71, 31] Operation: 46-15=31
Exploring Operation: 71-15=56, Resulting Numbers: [46, 56]
Generated Node #0,3,2: 60:[46, 56] Operation: 71-15=56
Exploring Operation: 71-46=25, Resulting Numbers: [15, 25]
Generated Node #0,3,3: 60:[15, 25] Operation: 71-46=25
Moving to Node #0,1
Current State: 60:[15, 96, 21], Operations: ['46-25=21']
Exploring Operation: 96-15=81, Resulting Numbers: [21, 81]
Generated Node #0,1,0: 60:[21, 81] Operation: 96-15=81
Exploring Operation: 15+21=36, Resulting Numbers: [96, 36]
Generated Node #0,1,1: 60:[96, 36] Operation: 15+21=36
Exploring Operation: 21-15=6, Resulting Numbers: [96, 6]
Generated Node #0,1,2: 60:[96, 6] Operation: 21-15=6
Exploring Operation: 96-21=75, Resulting Numbers: [15, 75]
Generated Node #0,1,3: 60:[15, 75] Operation: 96-21=75
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 60:[15, 75], Operations: ['46-25=21', '96-21=75']
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,60 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,60 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[15, 46, 25, 96], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [15, 96, 21]
Generated Node #0,1: 60:[15, 96, 21] Operation: 46-25=21
Moving to Node #0,1
Current State: 60:[15, 96, 21], Operations: ['46-25=21']
Exploring Operation: 96-21=75, Resulting Numbers: [15, 75]
Generated Node #0,1,3: 60:[15, 75] Operation: 96-21=75
Moving to Node #0,1,3
Current State: 60:[15, 75], Operations: ['46-25=21', '96-21=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | sum_heuristic |
[
86,
11,
66,
44
] | 36 | [
"86-44=42",
"66/11=6",
"42-6=36"
] | Current State: 36:[86, 11, 66, 44], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [11, 66, 42]
Generated Node #2: [11, 66, 42] from Operation: 86-44=42
Current State: 36:[11, 66, 42], Operations: ['86-44=42']
Exploring Operation: 66/11=6, Resulting Numbers: [42, 6]
Generated Node #3: [42, 6] from Operation: 66/11=6
Current State: 36:[42, 6], Operations: ['86-44=42', '66/11=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[86, 11, 66, 44], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [11, 66, 42]
Generated Node #0,0: 36:[11, 66, 42] Operation: 86-44=42
Exploring Operation: 86-66=20, Resulting Numbers: [11, 44, 20]
Generated Node #0,1: 36:[11, 44, 20] Operation: 86-66=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[11, 44, 20], Operations: ['86-66=20']
Exploring Operation: 44-11=33, Resulting Numbers: [20, 33]
Generated Node #0,1,0: 36:[20, 33] Operation: 44-11=33
Exploring Operation: 44/11=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 36:[20, 4] Operation: 44/11=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[20, 4], Operations: ['86-66=20', '44/11=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[20, 33], Operations: ['86-66=20', '44-11=33']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,36 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: 36:[11, 66, 42], Operations: ['86-44=42']
Exploring Operation: 66/11=6, Resulting Numbers: [42, 6]
Generated Node #0,0,0: 36:[42, 6] Operation: 66/11=6
Exploring Operation: 66-42=24, Resulting Numbers: [11, 24]
Generated Node #0,0,1: 36:[11, 24] Operation: 66-42=24
Moving to Node #0,0,0
Current State: 36:[42, 6], Operations: ['86-44=42', '66/11=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[86, 11, 66, 44], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [11, 66, 42]
Generated Node #0,0: 36:[11, 66, 42] Operation: 86-44=42
Moving to Node #0,0
Current State: 36:[11, 66, 42], Operations: ['86-44=42']
Exploring Operation: 66/11=6, Resulting Numbers: [42, 6]
Generated Node #0,0,0: 36:[42, 6] Operation: 66/11=6
Moving to Node #0,0,0
Current State: 36:[42, 6], Operations: ['86-44=42', '66/11=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
31,
6,
20,
14
] | 18 | [
"31-20=11",
"14-11=3",
"6*3=18"
] | Current State: 18:[31, 6, 20, 14], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [6, 14, 11]
Generated Node #2: [6, 14, 11] from Operation: 31-20=11
Current State: 18:[6, 14, 11], Operations: ['31-20=11']
Exploring Operation: 14-11=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 14-11=3
Current State: 18:[6, 3], Operations: ['31-20=11', '14-11=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[31, 6, 20, 14], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [6, 20, 17]
Generated Node #0,0: 18:[6, 20, 17] Operation: 31-14=17
Exploring Operation: 31-20=11, Resulting Numbers: [6, 14, 11]
Generated Node #0,1: 18:[6, 14, 11] Operation: 31-20=11
Exploring Operation: 31-6=25, Resulting Numbers: [20, 14, 25]
Generated Node #0,2: 18:[20, 14, 25] Operation: 31-6=25
Moving to Node #0,0
Current State: 18:[6, 20, 17], Operations: ['31-14=17']
Exploring Operation: 20-6=14, Resulting Numbers: [17, 14]
Generated Node #0,0,0: 18:[17, 14] Operation: 20-6=14
Exploring Operation: 20-17=3, Resulting Numbers: [6, 3]
Generated Node #0,0,1: 18:[6, 3] Operation: 20-17=3
Exploring Operation: 17-6=11, Resulting Numbers: [20, 11]
Generated Node #0,0,2: 18:[20, 11] Operation: 17-6=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[6, 3], Operations: ['31-14=17', '20-17=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[31, 6, 20, 14], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [6, 20, 17]
Generated Node #0,0: 18:[6, 20, 17] Operation: 31-14=17
Moving to Node #0,0
Current State: 18:[6, 20, 17], Operations: ['31-14=17']
Exploring Operation: 20-17=3, Resulting Numbers: [6, 3]
Generated Node #0,0,1: 18:[6, 3] Operation: 20-17=3
Moving to Node #0,0,1
Current State: 18:[6, 3], Operations: ['31-14=17', '20-17=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
18,
87,
14,
67
] | 28 | [
"87-18=69",
"69-67=2",
"14*2=28"
] | Current State: 28:[18, 87, 14, 67], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [14, 67, 69]
Generated Node #2: [14, 67, 69] from Operation: 87-18=69
Current State: 28:[14, 67, 69], Operations: ['87-18=69']
Exploring Operation: 69-67=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 69-67=2
Current State: 28:[14, 2], Operations: ['87-18=69', '69-67=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[18, 87, 14, 67], Operations: []
Exploring Operation: 87-67=20, Resulting Numbers: [18, 14, 20]
Generated Node #0,0: 28:[18, 14, 20] Operation: 87-67=20
Moving to Node #0,0
Current State: 28:[18, 14, 20], Operations: ['87-67=20']
Exploring Operation: 20-18=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 28:[14, 2] Operation: 20-18=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[14, 2], Operations: ['87-67=20', '20-18=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[18, 87, 14, 67], Operations: []
Exploring Operation: 87-67=20, Resulting Numbers: [18, 14, 20]
Generated Node #0,0: 28:[18, 14, 20] Operation: 87-67=20
Moving to Node #0,0
Current State: 28:[18, 14, 20], Operations: ['87-67=20']
Exploring Operation: 20-18=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 28:[14, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 28:[14, 2], Operations: ['87-67=20', '20-18=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
39,
13,
8,
9
] | 11 | [
"39/13=3",
"9/3=3",
"8+3=11"
] | Current State: 11:[39, 13, 8, 9], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [8, 9, 3]
Generated Node #2: [8, 9, 3] from Operation: 39/13=3
Current State: 11:[8, 9, 3], Operations: ['39/13=3']
Exploring Operation: 9/3=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 9/3=3
Current State: 11:[8, 3], Operations: ['39/13=3', '9/3=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[39, 13, 8, 9], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [8, 9, 26]
Generated Node #0,0: 11:[8, 9, 26] Operation: 39-13=26
Exploring Operation: 39/13=3, Resulting Numbers: [8, 9, 3]
Generated Node #0,1: 11:[8, 9, 3] Operation: 39/13=3
Moving to Node #0,1
Current State: 11:[8, 9, 3], Operations: ['39/13=3']
Exploring Operation: 9+3=12, Resulting Numbers: [8, 12]
Generated Node #0,1,0: 11:[8, 12] Operation: 9+3=12
Exploring Operation: 8+3=11, Resulting Numbers: [9, 11]
Generated Node #0,1,1: 11:[9, 11] Operation: 8+3=11
Moving to Node #0,0
Current State: 11:[8, 9, 26], Operations: ['39-13=26']
Exploring Operation: 26-8=18, Resulting Numbers: [9, 18]
Generated Node #0,0,0: 11:[9, 18] Operation: 26-8=18
Exploring Operation: 26-9=17, Resulting Numbers: [8, 17]
Generated Node #0,0,1: 11:[8, 17] Operation: 26-9=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[9, 18], Operations: ['39-13=26', '26-8=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[8, 17], Operations: ['39-13=26', '26-9=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 11:[9, 11], Operations: ['39/13=3', '8+3=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[8, 12], Operations: ['39/13=3', '9+3=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
50,
42,
16,
75
] | 73 | [
"50-42=8",
"16/8=2",
"75-2=73"
] | Current State: 73:[50, 42, 16, 75], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [16, 75, 8]
Generated Node #2: [16, 75, 8] from Operation: 50-42=8
Current State: 73:[16, 75, 8], Operations: ['50-42=8']
Exploring Operation: 16/8=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 16/8=2
Current State: 73:[75, 2], Operations: ['50-42=8', '16/8=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[50, 42, 16, 75], Operations: []
Exploring Operation: 42+16=58, Resulting Numbers: [50, 75, 58]
Generated Node #0,0: 73:[50, 75, 58] Operation: 42+16=58
Exploring Operation: 50-16=34, Resulting Numbers: [42, 75, 34]
Generated Node #0,1: 73:[42, 75, 34] Operation: 50-16=34
Exploring Operation: 50+16=66, Resulting Numbers: [42, 75, 66]
Generated Node #0,2: 73:[42, 75, 66] Operation: 50+16=66
Exploring Operation: 42-16=26, Resulting Numbers: [50, 75, 26]
Generated Node #0,3: 73:[50, 75, 26] Operation: 42-16=26
Exploring Operation: 75-16=59, Resulting Numbers: [50, 42, 59]
Generated Node #0,4: 73:[50, 42, 59] Operation: 75-16=59
Moving to Node #0,0
Current State: 73:[50, 75, 58], Operations: ['42+16=58']
Exploring Operation: 75-58=17, Resulting Numbers: [50, 17]
Generated Node #0,0,0: 73:[50, 17] Operation: 75-58=17
Exploring Operation: 58-50=8, Resulting Numbers: [75, 8]
Generated Node #0,0,1: 73:[75, 8] Operation: 58-50=8
Exploring Operation: 50+58=108, Resulting Numbers: [75, 108]
Generated Node #0,0,2: 73:[75, 108] Operation: 50+58=108
Exploring Operation: 75-50=25, Resulting Numbers: [58, 25]
Generated Node #0,0,3: 73:[58, 25] Operation: 75-50=25
Exploring Operation: 50+75=125, Resulting Numbers: [58, 125]
Generated Node #0,0,4: 73:[58, 125] Operation: 50+75=125
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[75, 108], Operations: ['42+16=58', '50+58=108']
Exploring Operation: 75*108=8100, Resulting Numbers: [8100]
8100,73 unequal: No Solution
Exploring Operation: 75+108=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Exploring Operation: 108-75=33, Resulting Numbers: [33]
33,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[58, 25], Operations: ['42+16=58', '75-50=25']
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 58*25=1450, Resulting Numbers: [1450]
1450,73 unequal: No Solution
Exploring Operation: 58+25=83, Resulting Numbers: [83]
83,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[75, 8], Operations: ['42+16=58', '58-50=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,73 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 73:[58, 125], Operations: ['42+16=58', '50+75=125']
Exploring Operation: 58+125=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Exploring Operation: 58*125=7250, Resulting Numbers: [7250]
7250,73 unequal: No Solution
Exploring Operation: 125-58=67, Resulting Numbers: [67]
67,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[50, 17], Operations: ['42+16=58', '75-58=17']
Exploring Operation: 50-17=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 50+17=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 50*17=850, Resulting Numbers: [850]
850,73 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: 73:[42, 75, 66], Operations: ['50+16=66']
Exploring Operation: 75-66=9, Resulting Numbers: [42, 9]
Generated Node #0,2,0: 73:[42, 9] Operation: 75-66=9
Exploring Operation: 42+75=117, Resulting Numbers: [66, 117]
Generated Node #0,2,1: 73:[66, 117] Operation: 42+75=117
Exploring Operation: 66-42=24, Resulting Numbers: [75, 24]
Generated Node #0,2,2: 73:[75, 24] Operation: 66-42=24
Exploring Operation: 42+66=108, Resulting Numbers: [75, 108]
Generated Node #0,2,3: 73:[75, 108] Operation: 42+66=108
Exploring Operation: 75-42=33, Resulting Numbers: [66, 33]
Generated Node #0,2,4: 73:[66, 33] Operation: 75-42=33
Moving to Node #0,4
Current State: 73:[50, 42, 59], Operations: ['75-16=59']
Exploring Operation: 50-42=8, Resulting Numbers: [59, 8]
Generated Node #0,4,0: 73:[59, 8] Operation: 50-42=8
Exploring Operation: 50+59=109, Resulting Numbers: [42, 109]
Generated Node #0,4,1: 73:[42, 109] Operation: 50+59=109
Exploring Operation: 50+42=92, Resulting Numbers: [59, 92]
Generated Node #0,4,2: 73:[59, 92] Operation: 50+42=92
Exploring Operation: 42+59=101, Resulting Numbers: [50, 101]
Generated Node #0,4,3: 73:[50, 101] Operation: 42+59=101
Exploring Operation: 59-42=17, Resulting Numbers: [50, 17]
Generated Node #0,4,4: 73:[50, 17] Operation: 59-42=17
Moving to Node #0,1
Current State: 73:[42, 75, 34], Operations: ['50-16=34']
Exploring Operation: 75-34=41, Resulting Numbers: [42, 41]
Generated Node #0,1,0: 73:[42, 41] Operation: 75-34=41
Exploring Operation: 42+34=76, Resulting Numbers: [75, 76]
Generated Node #0,1,1: 73:[75, 76] Operation: 42+34=76
Exploring Operation: 75-42=33, Resulting Numbers: [34, 33]
Generated Node #0,1,2: 73:[34, 33] Operation: 75-42=33
Exploring Operation: 75+34=109, Resulting Numbers: [42, 109]
Generated Node #0,1,3: 73:[42, 109] Operation: 75+34=109
Exploring Operation: 42-34=8, Resulting Numbers: [75, 8]
Generated Node #0,1,4: 73:[75, 8] Operation: 42-34=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[75, 76], Operations: ['50-16=34', '42+34=76']
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,73 unequal: No Solution
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[42, 41], Operations: ['50-16=34', '75-34=41']
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,73 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[42, 109], Operations: ['50-16=34', '75+34=109']
Exploring Operation: 42*109=4578, Resulting Numbers: [4578]
4578,73 unequal: No Solution
Exploring Operation: 109-42=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 42+109=151, Resulting Numbers: [151]
151,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 73:[75, 8], Operations: ['50-16=34', '42-34=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,73 unequal: No Solution
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,73 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[34, 33], Operations: ['50-16=34', '75-42=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,73 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: 73:[50, 75, 26], Operations: ['42-16=26']
Exploring Operation: 75-50=25, Resulting Numbers: [26, 25]
Generated Node #0,3,0: 73:[26, 25] Operation: 75-50=25
Exploring Operation: 75-26=49, Resulting Numbers: [50, 49]
Generated Node #0,3,1: 73:[50, 49] Operation: 75-26=49
Exploring Operation: 75+26=101, Resulting Numbers: [50, 101]
Generated Node #0,3,2: 73:[50, 101] Operation: 75+26=101
Exploring Operation: 50-26=24, Resulting Numbers: [75, 24]
Generated Node #0,3,3: 73:[75, 24] Operation: 50-26=24
Exploring Operation: 50+26=76, Resulting Numbers: [75, 76]
Generated Node #0,3,4: 73:[75, 76] Operation: 50+26=76
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 73:[75, 76], Operations: ['42-16=26', '50+26=76']
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[50, 49], Operations: ['42-16=26', '75-26=49']
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,73 unequal: No Solution
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[50, 101], Operations: ['42-16=26', '75+26=101']
Exploring Operation: 50+101=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 50*101=5050, Resulting Numbers: [5050]
5050,73 unequal: No Solution
Exploring Operation: 101-50=51, Resulting Numbers: [51]
51,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[75, 24], Operations: ['42-16=26', '50-26=24']
Exploring Operation: 75*24=1800, Resulting Numbers: [1800]
1800,73 unequal: No Solution
Exploring Operation: 75+24=99, Resulting Numbers: [99]
99,73 unequal: No Solution
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[26, 25], Operations: ['42-16=26', '75-50=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 73:[59, 92], Operations: ['75-16=59', '50+42=92']
Exploring Operation: 59+92=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 92-59=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 59*92=5428, Resulting Numbers: [5428]
5428,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[75, 108], Operations: ['50+16=66', '42+66=108']
Exploring Operation: 75*108=8100, Resulting Numbers: [8100]
8100,73 unequal: No Solution
Exploring Operation: 108-75=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 75+108=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[66, 33], Operations: ['50+16=66', '75-42=33']
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 66*33=2178, Resulting Numbers: [2178]
2178,73 unequal: No Solution
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,73 unequal: No Solution
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[50, 101], Operations: ['75-16=59', '42+59=101']
Exploring Operation: 50*101=5050, Resulting Numbers: [5050]
5050,73 unequal: No Solution
Exploring Operation: 50+101=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 101-50=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[66, 117], Operations: ['50+16=66', '42+75=117']
Exploring Operation: 66*117=7722, Resulting Numbers: [7722]
7722,73 unequal: No Solution
Exploring Operation: 117-66=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 66+117=183, Resulting Numbers: [183]
183,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[75, 24], Operations: ['50+16=66', '66-42=24']
Exploring Operation: 75*24=1800, Resulting Numbers: [1800]
1800,73 unequal: No Solution
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 75+24=99, Resulting Numbers: [99]
99,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[42, 109], Operations: ['75-16=59', '50+59=109']
Exploring Operation: 42*109=4578, Resulting Numbers: [4578]
4578,73 unequal: No Solution
Exploring Operation: 42+109=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 109-42=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[59, 8], Operations: ['75-16=59', '50-42=8']
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,73 unequal: No Solution
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[50, 17], Operations: ['75-16=59', '59-42=17']
Exploring Operation: 50-17=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 50*17=850, Resulting Numbers: [850]
850,73 unequal: No Solution
Exploring Operation: 50+17=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[42, 9], Operations: ['50+16=66', '75-66=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,73 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,73 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
6,
70,
55,
41
] | 90 | [
"6+70=76",
"55-41=14",
"76+14=90"
] | Current State: 90:[6, 70, 55, 41], Operations: []
Exploring Operation: 6+70=76, Resulting Numbers: [55, 41, 76]
Generated Node #2: [55, 41, 76] from Operation: 6+70=76
Current State: 90:[55, 41, 76], Operations: ['6+70=76']
Exploring Operation: 55-41=14, Resulting Numbers: [76, 14]
Generated Node #3: [76, 14] from Operation: 55-41=14
Current State: 90:[76, 14], Operations: ['6+70=76', '55-41=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[6, 70, 55, 41], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [6, 41, 15]
Generated Node #0,0: 90:[6, 41, 15] Operation: 70-55=15
Exploring Operation: 70-41=29, Resulting Numbers: [6, 55, 29]
Generated Node #0,1: 90:[6, 55, 29] Operation: 70-41=29
Moving to Node #0,0
Current State: 90:[6, 41, 15], Operations: ['70-55=15']
Exploring Operation: 6*15=90, Resulting Numbers: [41, 90]
Generated Node #0,0,0: 90:[41, 90] Operation: 6*15=90
Exploring Operation: 6+41=47, Resulting Numbers: [15, 47]
Generated Node #0,0,1: 90:[15, 47] Operation: 6+41=47
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[15, 47], Operations: ['70-55=15', '6+41=47']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[41, 90], Operations: ['70-55=15', '6*15=90']
Exploring Operation: 41+90=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Exploring Operation: 90-41=49, Resulting Numbers: [49]
49,90 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: 90:[6, 55, 29], Operations: ['70-41=29']
Exploring Operation: 55-6=49, Resulting Numbers: [29, 49]
Generated Node #0,1,0: 90:[29, 49] Operation: 55-6=49
Exploring Operation: 55-29=26, Resulting Numbers: [6, 26]
Generated Node #0,1,1: 90:[6, 26] Operation: 55-29=26
Moving to Node #0,1,1
Current State: 90:[6, 26], Operations: ['70-41=29', '55-29=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[29, 49], Operations: ['70-41=29', '55-6=49']
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,90 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
75,
12,
12,
96
] | 68 | [
"96-12=84",
"84/12=7",
"75-7=68"
] | Current State: 68:[75, 12, 12, 96], Operations: []
Exploring Operation: 96-12=84, Resulting Numbers: [75, 84]
Generated Node #2: [75, 84] from Operation: 96-12=84
Current State: 68:[75, 84], Operations: ['96-12=84']
Exploring Operation: 84/12=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 84/12=7
Current State: 68:[75, 7], Operations: ['96-12=84', '84/12=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[75, 12, 12, 96], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [12, 12, 21]
Generated Node #0,0: 68:[12, 12, 21] Operation: 96-75=21
Exploring Operation: 96/12=8, Resulting Numbers: [75, 12, 8]
Generated Node #0,1: 68:[75, 12, 8] Operation: 96/12=8
Exploring Operation: 96/12=8, Resulting Numbers: [75, 12, 8]
Generated Node #0,2: 68:[75, 12, 8] Operation: 96/12=8
Moving to Node #0,0
Current State: 68:[12, 12, 21], Operations: ['96-75=21']
Exploring Operation: 12-12=0, Resulting Numbers: [21, 0]
Generated Node #0,0,0: 68:[21, 0] Operation: 12-12=0
Exploring Operation: 12/12=1, Resulting Numbers: [21, 1]
Generated Node #0,0,1: 68:[21, 1] Operation: 12/12=1
Exploring Operation: 12+21=33, Resulting Numbers: [12, 33]
Generated Node #0,0,2: 68:[12, 33] Operation: 12+21=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[21, 1], Operations: ['96-75=21', '12/12=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
No 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: 68:[21, 0], Operations: ['96-75=21', '12-12=0']
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,68 unequal: No Solution
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,68 unequal: No Solution
No 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: 68:[12, 33], Operations: ['96-75=21', '12+21=33']
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,68 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,68 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,68 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: 68:[75, 12, 8], Operations: ['96/12=8']
Exploring Operation: 75-8=67, Resulting Numbers: [12, 67]
Generated Node #0,1,0: 68:[12, 67] Operation: 75-8=67
Exploring Operation: 75-12=63, Resulting Numbers: [8, 63]
Generated Node #0,1,1: 68:[8, 63] Operation: 75-12=63
Exploring Operation: 12-8=4, Resulting Numbers: [75, 4]
Generated Node #0,1,2: 68:[75, 4] Operation: 12-8=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[12, 67], Operations: ['96/12=8', '75-8=67']
Exploring Operation: 12*67=804, Resulting Numbers: [804]
804,68 unequal: No Solution
Exploring Operation: 12+67=79, Resulting Numbers: [79]
79,68 unequal: No Solution
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,68 unequal: No Solution
No 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: 68:[75, 4], Operations: ['96/12=8', '12-8=4']
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,68 unequal: No Solution
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,68 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,68 unequal: No Solution
No 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: 68:[8, 63], Operations: ['96/12=8', '75-12=63']
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,68 unequal: No Solution
Exploring Operation: 8*63=504, Resulting Numbers: [504]
504,68 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: 68:[75, 12, 8], Operations: ['96/12=8']
Exploring Operation: 75-8=67, Resulting Numbers: [12, 67]
Generated Node #0,2,0: 68:[12, 67] Operation: 75-8=67
Exploring Operation: 75-12=63, Resulting Numbers: [8, 63]
Generated Node #0,2,1: 68:[8, 63] Operation: 75-12=63
Exploring Operation: 12-8=4, Resulting Numbers: [75, 4]
Generated Node #0,2,2: 68:[75, 4] Operation: 12-8=4
Moving to Node #0,2,0
Current State: 68:[12, 67], Operations: ['96/12=8', '75-8=67']
Exploring Operation: 12*67=804, Resulting Numbers: [804]
804,68 unequal: No Solution
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,68 unequal: No Solution
Exploring Operation: 12+67=79, Resulting Numbers: [79]
79,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[75, 4], Operations: ['96/12=8', '12-8=4']
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,68 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[8, 63], Operations: ['96/12=8', '75-12=63']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,68 unequal: No Solution
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 8*63=504, Resulting Numbers: [504]
504,68 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
22,
28,
90,
3
] | 99 | [
"28-22=6",
"90+3=93",
"6+93=99"
] | Current State: 99:[22, 28, 90, 3], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [90, 3, 6]
Generated Node #2: [90, 3, 6] from Operation: 28-22=6
Current State: 99:[90, 3, 6], Operations: ['28-22=6']
Exploring Operation: 90+3=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 90+3=93
Current State: 99:[6, 93], Operations: ['28-22=6', '90+3=93']
Exploring Operation: 6+93=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[22, 28, 90, 3], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [90, 3, 6]
Generated Node #0,0: 99:[90, 3, 6] Operation: 28-22=6
Exploring Operation: 90/3=30, Resulting Numbers: [22, 28, 30]
Generated Node #0,1: 99:[22, 28, 30] Operation: 90/3=30
Exploring Operation: 22+90=112, Resulting Numbers: [28, 3, 112]
Generated Node #0,2: 99:[28, 3, 112] Operation: 22+90=112
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[90, 3, 6], Operations: ['28-22=6']
Exploring Operation: 90/6=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 99:[3, 15] Operation: 90/6=15
Exploring Operation: 90/3=30, Resulting Numbers: [6, 30]
Generated Node #0,0,1: 99:[6, 30] Operation: 90/3=30
Exploring Operation: 90+6=96, Resulting Numbers: [3, 96]
Generated Node #0,0,2: 99:[3, 96] Operation: 90+6=96
Moving to Node #0,0,2
Current State: 99:[3, 96], Operations: ['28-22=6', '90+6=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[22, 28, 90, 3], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [90, 3, 6]
Generated Node #0,0: 99:[90, 3, 6] Operation: 28-22=6
Moving to Node #0,0
Current State: 99:[90, 3, 6], Operations: ['28-22=6']
Exploring Operation: 90+6=96, Resulting Numbers: [3, 96]
Generated Node #0,0,2: 99:[3, 96] Operation: 90+6=96
Moving to Node #0,0,2
Current State: 99:[3, 96], Operations: ['28-22=6', '90+6=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
78,
95,
36,
97
] | 84 | [
"78-36=42",
"97-95=2",
"42*2=84"
] | Current State: 84:[78, 95, 36, 97], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [95, 97, 42]
Generated Node #2: [95, 97, 42] from Operation: 78-36=42
Current State: 84:[95, 97, 42], Operations: ['78-36=42']
Exploring Operation: 97-95=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 97-95=2
Current State: 84:[42, 2], Operations: ['78-36=42', '97-95=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[78, 95, 36, 97], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [78, 36, 2]
Generated Node #0,0: 84:[78, 36, 2] Operation: 97-95=2
Exploring Operation: 95-36=59, Resulting Numbers: [78, 97, 59]
Generated Node #0,1: 84:[78, 97, 59] Operation: 95-36=59
Exploring Operation: 97-78=19, Resulting Numbers: [95, 36, 19]
Generated Node #0,2: 84:[95, 36, 19] Operation: 97-78=19
Exploring Operation: 78-36=42, Resulting Numbers: [95, 97, 42]
Generated Node #0,3: 84:[95, 97, 42] Operation: 78-36=42
Exploring Operation: 95-78=17, Resulting Numbers: [36, 97, 17]
Generated Node #0,4: 84:[36, 97, 17] Operation: 95-78=17
Moving to Node #0,0
Current State: 84:[78, 36, 2], Operations: ['97-95=2']
Exploring Operation: 78-36=42, Resulting Numbers: [2, 42]
Generated Node #0,0,0: 84:[2, 42] Operation: 78-36=42
Exploring Operation: 36+2=38, Resulting Numbers: [78, 38]
Generated Node #0,0,1: 84:[78, 38] Operation: 36+2=38
Exploring Operation: 78+2=80, Resulting Numbers: [36, 80]
Generated Node #0,0,2: 84:[36, 80] Operation: 78+2=80
Exploring Operation: 78/2=39, Resulting Numbers: [36, 39]
Generated Node #0,0,3: 84:[36, 39] Operation: 78/2=39
Exploring Operation: 36/2=18, Resulting Numbers: [78, 18]
Generated Node #0,0,4: 84:[78, 18] Operation: 36/2=18
Moving to Node #0,2
Current State: 84:[95, 36, 19], Operations: ['97-78=19']
Exploring Operation: 95-36=59, Resulting Numbers: [19, 59]
Generated Node #0,2,0: 84:[19, 59] Operation: 95-36=59
Exploring Operation: 95-19=76, Resulting Numbers: [36, 76]
Generated Node #0,2,1: 84:[36, 76] Operation: 95-19=76
Exploring Operation: 36+19=55, Resulting Numbers: [95, 55]
Generated Node #0,2,2: 84:[95, 55] Operation: 36+19=55
Exploring Operation: 36-19=17, Resulting Numbers: [95, 17]
Generated Node #0,2,3: 84:[95, 17] Operation: 36-19=17
Exploring Operation: 95/19=5, Resulting Numbers: [36, 5]
Generated Node #0,2,4: 84:[36, 5] Operation: 95/19=5
Moving to Node #0,4
Current State: 84:[36, 97, 17], Operations: ['95-78=17']
Exploring Operation: 97-36=61, Resulting Numbers: [17, 61]
Generated Node #0,4,0: 84:[17, 61] Operation: 97-36=61
Exploring Operation: 36-17=19, Resulting Numbers: [97, 19]
Generated Node #0,4,1: 84:[97, 19] Operation: 36-17=19
Exploring Operation: 36+17=53, Resulting Numbers: [97, 53]
Generated Node #0,4,2: 84:[97, 53] Operation: 36+17=53
Exploring Operation: 97+17=114, Resulting Numbers: [36, 114]
Generated Node #0,4,3: 84:[36, 114] Operation: 97+17=114
Exploring Operation: 97-17=80, Resulting Numbers: [36, 80]
Generated Node #0,4,4: 84:[36, 80] Operation: 97-17=80
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 84:[36, 80], Operations: ['95-78=17', '97-17=80']
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,84 unequal: No Solution
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,84 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,84 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 #0,4,1
Current State: 84:[97, 19], Operations: ['95-78=17', '36-17=19']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,84 unequal: No Solution
Exploring Operation: 97*19=1843, Resulting Numbers: [1843]
1843,84 unequal: No Solution
Exploring Operation: 97+19=116, Resulting Numbers: [116]
116,84 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 #0,4,0
Current State: 84:[17, 61], Operations: ['95-78=17', '97-36=61']
Exploring Operation: 17*61=1037, Resulting Numbers: [1037]
1037,84 unequal: No Solution
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 17+61=78, Resulting Numbers: [78]
78,84 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 #0,4,2
Current State: 84:[97, 53], Operations: ['95-78=17', '36+17=53']
Exploring Operation: 97+53=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Exploring Operation: 97-53=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 97*53=5141, Resulting Numbers: [5141]
5141,84 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 #0,4,3
Current State: 84:[36, 114], Operations: ['95-78=17', '97+17=114']
Exploring Operation: 36+114=150, Resulting Numbers: [150]
150,84 unequal: No Solution
Exploring Operation: 114-36=78, Resulting Numbers: [78]
78,84 unequal: No Solution
Exploring Operation: 36*114=4104, Resulting Numbers: [4104]
4104,84 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: 84:[95, 97, 42], Operations: ['78-36=42']
Exploring Operation: 97+42=139, Resulting Numbers: [95, 139]
Generated Node #0,3,0: 84:[95, 139] Operation: 97+42=139
Exploring Operation: 97-95=2, Resulting Numbers: [42, 2]
Generated Node #0,3,1: 84:[42, 2] Operation: 97-95=2
Exploring Operation: 95+42=137, Resulting Numbers: [97, 137]
Generated Node #0,3,2: 84:[97, 137] Operation: 95+42=137
Exploring Operation: 97-42=55, Resulting Numbers: [95, 55]
Generated Node #0,3,3: 84:[95, 55] Operation: 97-42=55
Exploring Operation: 95-42=53, Resulting Numbers: [97, 53]
Generated Node #0,3,4: 84:[97, 53] Operation: 95-42=53
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 84:[42, 2], Operations: ['78-36=42', '97-95=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[78, 95, 36, 97], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [95, 97, 42]
Generated Node #0,3: 84:[95, 97, 42] Operation: 78-36=42
Moving to Node #0,3
Current State: 84:[95, 97, 42], Operations: ['78-36=42']
Exploring Operation: 97-95=2, Resulting Numbers: [42, 2]
Generated Node #0,3,1: 84:[42, 2] Operation: 97-95=2
Moving to Node #0,3,1
Current State: 84:[42, 2], Operations: ['78-36=42', '97-95=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_5 | sum_heuristic |
[
95,
97,
33,
37
] | 93 | [
"95+37=132",
"132/33=4",
"97-4=93"
] | Current State: 93:[95, 97, 33, 37], Operations: []
Exploring Operation: 95+37=132, Resulting Numbers: [97, 33, 132]
Generated Node #2: [97, 33, 132] from Operation: 95+37=132
Current State: 93:[97, 33, 132], Operations: ['95+37=132']
Exploring Operation: 132/33=4, Resulting Numbers: [97, 4]
Generated Node #3: [97, 4] from Operation: 132/33=4
Current State: 93:[97, 4], Operations: ['95+37=132', '132/33=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[95, 97, 33, 37], Operations: []
Exploring Operation: 95-37=58, Resulting Numbers: [97, 33, 58]
Generated Node #0,0: 93:[97, 33, 58] Operation: 95-37=58
Exploring Operation: 37-33=4, Resulting Numbers: [95, 97, 4]
Generated Node #0,1: 93:[95, 97, 4] Operation: 37-33=4
Exploring Operation: 33+37=70, Resulting Numbers: [95, 97, 70]
Generated Node #0,2: 93:[95, 97, 70] Operation: 33+37=70
Exploring Operation: 97-37=60, Resulting Numbers: [95, 33, 60]
Generated Node #0,3: 93:[95, 33, 60] Operation: 97-37=60
Exploring Operation: 97-95=2, Resulting Numbers: [33, 37, 2]
Generated Node #0,4: 93:[33, 37, 2] Operation: 97-95=2
Moving to Node #0,1
Current State: 93:[95, 97, 4], Operations: ['37-33=4']
Exploring Operation: 97-95=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 93:[4, 2] Operation: 97-95=2
Exploring Operation: 95+4=99, Resulting Numbers: [97, 99]
Generated Node #0,1,1: 93:[97, 99] Operation: 95+4=99
Exploring Operation: 97-4=93, Resulting Numbers: [95, 93]
Generated Node #0,1,2: 93:[95, 93] Operation: 97-4=93
Exploring Operation: 95-4=91, Resulting Numbers: [97, 91]
Generated Node #0,1,3: 93:[97, 91] Operation: 95-4=91
Exploring Operation: 97+4=101, Resulting Numbers: [95, 101]
Generated Node #0,1,4: 93:[95, 101] Operation: 97+4=101
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[4, 2], Operations: ['37-33=4', '97-95=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[95, 93], Operations: ['37-33=4', '97-4=93']
Exploring Operation: 95-93=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 95+93=188, Resulting Numbers: [188]
188,93 unequal: No Solution
Exploring Operation: 95*93=8835, Resulting Numbers: [8835]
8835,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[97, 91], Operations: ['37-33=4', '95-4=91']
Exploring Operation: 97+91=188, Resulting Numbers: [188]
188,93 unequal: No Solution
Exploring Operation: 97*91=8827, Resulting Numbers: [8827]
8827,93 unequal: No Solution
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[97, 99], Operations: ['37-33=4', '95+4=99']
Exploring Operation: 97*99=9603, Resulting Numbers: [9603]
9603,93 unequal: No Solution
Exploring Operation: 97+99=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 93:[95, 101], Operations: ['37-33=4', '97+4=101']
Exploring Operation: 95*101=9595, Resulting Numbers: [9595]
9595,93 unequal: No Solution
Exploring Operation: 95+101=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Exploring Operation: 101-95=6, Resulting Numbers: [6]
6,93 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: 93:[33, 37, 2], Operations: ['97-95=2']
Exploring Operation: 37-2=35, Resulting Numbers: [33, 35]
Generated Node #0,4,0: 93:[33, 35] Operation: 37-2=35
Exploring Operation: 33-2=31, Resulting Numbers: [37, 31]
Generated Node #0,4,1: 93:[37, 31] Operation: 33-2=31
Exploring Operation: 33+2=35, Resulting Numbers: [37, 35]
Generated Node #0,4,2: 93:[37, 35] Operation: 33+2=35
Exploring Operation: 37-33=4, Resulting Numbers: [2, 4]
Generated Node #0,4,3: 93:[2, 4] Operation: 37-33=4
Exploring Operation: 37+2=39, Resulting Numbers: [33, 39]
Generated Node #0,4,4: 93:[33, 39] Operation: 37+2=39
Moving to Node #0,2
Current State: 93:[95, 97, 70], Operations: ['33+37=70']
Exploring Operation: 95-70=25, Resulting Numbers: [97, 25]
Generated Node #0,2,0: 93:[97, 25] Operation: 95-70=25
Exploring Operation: 97-70=27, Resulting Numbers: [95, 27]
Generated Node #0,2,1: 93:[95, 27] Operation: 97-70=27
Exploring Operation: 95+70=165, Resulting Numbers: [97, 165]
Generated Node #0,2,2: 93:[97, 165] Operation: 95+70=165
Exploring Operation: 97+70=167, Resulting Numbers: [95, 167]
Generated Node #0,2,3: 93:[95, 167] Operation: 97+70=167
Exploring Operation: 97-95=2, Resulting Numbers: [70, 2]
Generated Node #0,2,4: 93:[70, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 93:[97, 33, 58], Operations: ['95-37=58']
Exploring Operation: 97+33=130, Resulting Numbers: [58, 130]
Generated Node #0,0,0: 93:[58, 130] Operation: 97+33=130
Exploring Operation: 97-33=64, Resulting Numbers: [58, 64]
Generated Node #0,0,1: 93:[58, 64] Operation: 97-33=64
Exploring Operation: 97-58=39, Resulting Numbers: [33, 39]
Generated Node #0,0,2: 93:[33, 39] Operation: 97-58=39
Exploring Operation: 33+58=91, Resulting Numbers: [97, 91]
Generated Node #0,0,3: 93:[97, 91] Operation: 33+58=91
Exploring Operation: 58-33=25, Resulting Numbers: [97, 25]
Generated Node #0,0,4: 93:[97, 25] Operation: 58-33=25
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 93:[97, 91], Operations: ['95-37=58', '33+58=91']
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 97*91=8827, Resulting Numbers: [8827]
8827,93 unequal: No Solution
Exploring Operation: 97+91=188, Resulting Numbers: [188]
188,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 93:[33, 39], Operations: ['95-37=58', '97-58=39']
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,93 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 93:[97, 25], Operations: ['95-37=58', '58-33=25']
Exploring Operation: 97+25=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 97*25=2425, Resulting Numbers: [2425]
2425,93 unequal: No Solution
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[58, 64], Operations: ['95-37=58', '97-33=64']
Exploring Operation: 58*64=3712, Resulting Numbers: [3712]
3712,93 unequal: No Solution
Exploring Operation: 58+64=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[58, 130], Operations: ['95-37=58', '97+33=130']
Exploring Operation: 58+130=188, Resulting Numbers: [188]
188,93 unequal: No Solution
Exploring Operation: 58*130=7540, Resulting Numbers: [7540]
7540,93 unequal: No Solution
Exploring Operation: 130-58=72, Resulting Numbers: [72]
72,93 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: 93:[95, 33, 60], Operations: ['97-37=60']
Exploring Operation: 95-60=35, Resulting Numbers: [33, 35]
Generated Node #0,3,0: 93:[33, 35] Operation: 95-60=35
Exploring Operation: 95-33=62, Resulting Numbers: [60, 62]
Generated Node #0,3,1: 93:[60, 62] Operation: 95-33=62
Exploring Operation: 60-33=27, Resulting Numbers: [95, 27]
Generated Node #0,3,2: 93:[95, 27] Operation: 60-33=27
Exploring Operation: 33+60=93, Resulting Numbers: [95, 93]
Generated Node #0,3,3: 93:[95, 93] Operation: 33+60=93
Exploring Operation: 95+33=128, Resulting Numbers: [60, 128]
Generated Node #0,3,4: 93:[60, 128] Operation: 95+33=128
Moving to Node #0,4,3
Current State: 93:[2, 4], Operations: ['97-95=2', '37-33=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[95, 93], Operations: ['97-37=60', '33+60=93']
Exploring Operation: 95-93=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 95*93=8835, Resulting Numbers: [8835]
8835,93 unequal: No Solution
Exploring Operation: 95+93=188, Resulting Numbers: [188]
188,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[37, 31], Operations: ['97-95=2', '33-2=31']
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,93 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[95, 27], Operations: ['33+37=70', '97-70=27']
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 95+27=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 95*27=2565, Resulting Numbers: [2565]
2565,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[95, 27], Operations: ['97-37=60', '60-33=27']
Exploring Operation: 95*27=2565, Resulting Numbers: [2565]
2565,93 unequal: No Solution
Exploring Operation: 95+27=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[33, 35], Operations: ['97-37=60', '95-60=35']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[33, 35], Operations: ['97-95=2', '37-2=35']
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[97, 25], Operations: ['33+37=70', '95-70=25']
Exploring Operation: 97+25=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 97*25=2425, Resulting Numbers: [2425]
2425,93 unequal: No Solution
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[33, 39], Operations: ['97-95=2', '37+2=39']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,93 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[37, 35], Operations: ['97-95=2', '33+2=35']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,93 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Moving to Node #0,2,4
Current State: 93:[70, 2], Operations: ['33+37=70', '97-95=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[60, 62], Operations: ['97-37=60', '95-33=62']
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 60*62=3720, Resulting Numbers: [3720]
3720,93 unequal: No Solution
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[60, 128], Operations: ['97-37=60', '95+33=128']
Exploring Operation: 60*128=7680, Resulting Numbers: [7680]
7680,93 unequal: No Solution
Exploring Operation: 60+128=188, Resulting Numbers: [188]
188,93 unequal: No Solution
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[97, 165], Operations: ['33+37=70', '95+70=165']
Exploring Operation: 165-97=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 97*165=16005, Resulting Numbers: [16005]
16005,93 unequal: No Solution
Exploring Operation: 97+165=262, Resulting Numbers: [262]
262,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[95, 167], Operations: ['33+37=70', '97+70=167']
Exploring Operation: 95+167=262, Resulting Numbers: [262]
262,93 unequal: No Solution
Exploring Operation: 167-95=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 95*167=15865, Resulting Numbers: [15865]
15865,93 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
27,
21,
52,
17
] | 68 | [
"27+21=48",
"52-48=4",
"17*4=68"
] | Current State: 68:[27, 21, 52, 17], Operations: []
Exploring Operation: 27+21=48, Resulting Numbers: [52, 17, 48]
Generated Node #2: [52, 17, 48] from Operation: 27+21=48
Current State: 68:[52, 17, 48], Operations: ['27+21=48']
Exploring Operation: 52-48=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 52-48=4
Current State: 68:[17, 4], Operations: ['27+21=48', '52-48=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[27, 21, 52, 17], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [27, 17, 31]
Generated Node #0,0: 68:[27, 17, 31] Operation: 52-21=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[27, 17, 31], Operations: ['52-21=31']
Exploring Operation: 31-27=4, Resulting Numbers: [17, 4]
Generated Node #0,0,0: 68:[17, 4] Operation: 31-27=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[17, 4], Operations: ['52-21=31', '31-27=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[27, 21, 52, 17], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [27, 17, 31]
Generated Node #0,0: 68:[27, 17, 31] Operation: 52-21=31
Moving to Node #0,0
Current State: 68:[27, 17, 31], Operations: ['52-21=31']
Exploring Operation: 31-27=4, Resulting Numbers: [17, 4]
Generated Node #0,0,0: 68:[17, 4] Operation: 31-27=4
Moving to Node #0,0,0
Current State: 68:[17, 4], Operations: ['52-21=31', '31-27=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
1,
12,
99,
3
] | 27 | [
"12-1=11",
"99*3=297",
"297/11=27"
] | Current State: 27:[1, 12, 99, 3], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [99, 3, 11]
Generated Node #2: [99, 3, 11] from Operation: 12-1=11
Current State: 27:[99, 3, 11], Operations: ['12-1=11']
Exploring Operation: 99*3=297, Resulting Numbers: [11, 297]
Generated Node #3: [11, 297] from Operation: 99*3=297
Current State: 27:[11, 297], Operations: ['12-1=11', '99*3=297']
Exploring Operation: 297/11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[1, 12, 99, 3], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [99, 3, 11]
Generated Node #0,0: 27:[99, 3, 11] Operation: 12-1=11
Exploring Operation: 99-12=87, Resulting Numbers: [1, 3, 87]
Generated Node #0,1: 27:[1, 3, 87] Operation: 99-12=87
Exploring Operation: 99/3=33, Resulting Numbers: [1, 12, 33]
Generated Node #0,2: 27:[1, 12, 33] Operation: 99/3=33
Exploring Operation: 99-1=98, Resulting Numbers: [12, 3, 98]
Generated Node #0,3: 27:[12, 3, 98] Operation: 99-1=98
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[1, 12, 33], Operations: ['99/3=33']
Exploring Operation: 12-1=11, Resulting Numbers: [33, 11]
Generated Node #0,2,0: 27:[33, 11] Operation: 12-1=11
Exploring Operation: 1*12=12, Resulting Numbers: [33, 12]
Generated Node #0,2,1: 27:[33, 12] Operation: 1*12=12
Exploring Operation: 33-12=21, Resulting Numbers: [1, 21]
Generated Node #0,2,2: 27:[1, 21] Operation: 33-12=21
Exploring Operation: 33-1=32, Resulting Numbers: [12, 32]
Generated Node #0,2,3: 27:[12, 32] Operation: 33-1=32
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 27:[33, 11], Operations: ['99/3=33', '12-1=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,27 unequal: No Solution
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,27 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,27 unequal: No Solution
No 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: 27:[1, 21], Operations: ['99/3=33', '33-12=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,27 unequal: No Solution
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,27 unequal: No Solution
No 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: 27:[12, 32], Operations: ['99/3=33', '33-1=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,27 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,27 unequal: No Solution
No 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: 27:[33, 12], Operations: ['99/3=33', '1*12=12']
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,27 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,27 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: 27:[1, 3, 87], Operations: ['99-12=87']
Exploring Operation: 1*3=3, Resulting Numbers: [87, 3]
Generated Node #0,1,0: 27:[87, 3] Operation: 1*3=3
Exploring Operation: 87/3=29, Resulting Numbers: [1, 29]
Generated Node #0,1,1: 27:[1, 29] Operation: 87/3=29
Exploring Operation: 87-1=86, Resulting Numbers: [3, 86]
Generated Node #0,1,2: 27:[3, 86] Operation: 87-1=86
Exploring Operation: 87-3=84, Resulting Numbers: [1, 84]
Generated Node #0,1,3: 27:[1, 84] Operation: 87-3=84
Moving to Node #0,1,1
Current State: 27:[1, 29], Operations: ['99-12=87', '87/3=29']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[1, 84], Operations: ['99-12=87', '87-3=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,27 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[3, 86], Operations: ['99-12=87', '87-1=86']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,27 unequal: No Solution
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[87, 3], Operations: ['99-12=87', '1*3=3']
Exploring Operation: 87*3=261, Resulting Numbers: [261]
261,27 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[99, 3, 11], Operations: ['12-1=11']
Exploring Operation: 99/3=33, Resulting Numbers: [11, 33]
Generated Node #0,0,0: 27:[11, 33] Operation: 99/3=33
Exploring Operation: 99-11=88, Resulting Numbers: [3, 88]
Generated Node #0,0,1: 27:[3, 88] Operation: 99-11=88
Exploring Operation: 99/11=9, Resulting Numbers: [3, 9]
Generated Node #0,0,2: 27:[3, 9] Operation: 99/11=9
Exploring Operation: 99-3=96, Resulting Numbers: [11, 96]
Generated Node #0,0,3: 27:[11, 96] Operation: 99-3=96
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[3, 9], Operations: ['12-1=11', '99/11=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[1, 12, 99, 3], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [99, 3, 11]
Generated Node #0,0: 27:[99, 3, 11] Operation: 12-1=11
Moving to Node #0,0
Current State: 27:[99, 3, 11], Operations: ['12-1=11']
Exploring Operation: 99/11=9, Resulting Numbers: [3, 9]
Generated Node #0,0,2: 27:[3, 9] Operation: 99/11=9
Moving to Node #0,0,2
Current State: 27:[3, 9], Operations: ['12-1=11', '99/11=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.956597 | hs_4 | mult_heuristic |
[
64,
17,
95,
14
] | 62 | [
"64-17=47",
"95+14=109",
"109-47=62"
] | Current State: 62:[64, 17, 95, 14], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [95, 14, 47]
Generated Node #2: [95, 14, 47] from Operation: 64-17=47
Current State: 62:[95, 14, 47], Operations: ['64-17=47']
Exploring Operation: 95+14=109, Resulting Numbers: [47, 109]
Generated Node #3: [47, 109] from Operation: 95+14=109
Current State: 62:[47, 109], Operations: ['64-17=47', '95+14=109']
Exploring Operation: 109-47=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[64, 17, 95, 14], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [17, 14, 31]
Generated Node #0,0: 62:[17, 14, 31] Operation: 95-64=31
Exploring Operation: 95-17=78, Resulting Numbers: [64, 14, 78]
Generated Node #0,1: 62:[64, 14, 78] Operation: 95-17=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[17, 14, 31], Operations: ['95-64=31']
Exploring Operation: 17-14=3, Resulting Numbers: [31, 3]
Generated Node #0,0,0: 62:[31, 3] Operation: 17-14=3
Exploring Operation: 17+14=31, Resulting Numbers: [31, 31]
Generated Node #0,0,1: 62:[31, 31] Operation: 17+14=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[31, 31], Operations: ['95-64=31', '17+14=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[64, 17, 95, 14], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [17, 14, 31]
Generated Node #0,0: 62:[17, 14, 31] Operation: 95-64=31
Moving to Node #0,0
Current State: 62:[17, 14, 31], Operations: ['95-64=31']
Exploring Operation: 17+14=31, Resulting Numbers: [31, 31]
Generated Node #0,0,1: 62:[31, 31] Operation: 17+14=31
Moving to Node #0,0,1
Current State: 62:[31, 31], Operations: ['95-64=31', '17+14=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
68,
90,
35,
10
] | 34 | [
"35+10=45",
"68*45=3060",
"3060/90=34"
] | Current State: 34:[68, 90, 35, 10], Operations: []
Exploring Operation: 35+10=45, Resulting Numbers: [68, 90, 45]
Generated Node #2: [68, 90, 45] from Operation: 35+10=45
Current State: 34:[68, 90, 45], Operations: ['35+10=45']
Exploring Operation: 68*45=3060, Resulting Numbers: [90, 3060]
Generated Node #3: [90, 3060] from Operation: 68*45=3060
Current State: 34:[90, 3060], Operations: ['35+10=45', '68*45=3060']
Exploring Operation: 3060/90=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[68, 90, 35, 10], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [90, 35, 58]
Generated Node #0,0: 34:[90, 35, 58] Operation: 68-10=58
Exploring Operation: 90-68=22, Resulting Numbers: [35, 10, 22]
Generated Node #0,1: 34:[35, 10, 22] Operation: 90-68=22
Exploring Operation: 90/10=9, Resulting Numbers: [68, 35, 9]
Generated Node #0,2: 34:[68, 35, 9] Operation: 90/10=9
Exploring Operation: 90-35=55, Resulting Numbers: [68, 10, 55]
Generated Node #0,3: 34:[68, 10, 55] Operation: 90-35=55
Exploring Operation: 68-35=33, Resulting Numbers: [90, 10, 33]
Generated Node #0,4: 34:[90, 10, 33] Operation: 68-35=33
Moving to Node #0,1
Current State: 34:[35, 10, 22], Operations: ['90-68=22']
Exploring Operation: 35-22=13, Resulting Numbers: [10, 13]
Generated Node #0,1,0: 34:[10, 13] Operation: 35-22=13
Exploring Operation: 35+10=45, Resulting Numbers: [22, 45]
Generated Node #0,1,1: 34:[22, 45] Operation: 35+10=45
Exploring Operation: 10+22=32, Resulting Numbers: [35, 32]
Generated Node #0,1,2: 34:[35, 32] Operation: 10+22=32
Exploring Operation: 35-10=25, Resulting Numbers: [22, 25]
Generated Node #0,1,3: 34:[22, 25] Operation: 35-10=25
Exploring Operation: 22-10=12, Resulting Numbers: [35, 12]
Generated Node #0,1,4: 34:[35, 12] Operation: 22-10=12
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[35, 32], Operations: ['90-68=22', '10+22=32']
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,34 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 34:[35, 12], Operations: ['90-68=22', '22-10=12']
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,34 unequal: No Solution
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[10, 13], Operations: ['90-68=22', '35-22=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,34 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[22, 25], Operations: ['90-68=22', '35-10=25']
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 22*25=550, Resulting Numbers: [550]
550,34 unequal: No Solution
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[22, 45], Operations: ['90-68=22', '35+10=45']
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,34 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,34 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: 34:[68, 35, 9], Operations: ['90/10=9']
Exploring Operation: 68+9=77, Resulting Numbers: [35, 77]
Generated Node #0,2,0: 34:[35, 77] Operation: 68+9=77
Exploring Operation: 68-35=33, Resulting Numbers: [9, 33]
Generated Node #0,2,1: 34:[9, 33] Operation: 68-35=33
Exploring Operation: 68-9=59, Resulting Numbers: [35, 59]
Generated Node #0,2,2: 34:[35, 59] Operation: 68-9=59
Exploring Operation: 35-9=26, Resulting Numbers: [68, 26]
Generated Node #0,2,3: 34:[68, 26] Operation: 35-9=26
Exploring Operation: 35+9=44, Resulting Numbers: [68, 44]
Generated Node #0,2,4: 34:[68, 44] Operation: 35+9=44
Moving to Node #0,3
Current State: 34:[68, 10, 55], Operations: ['90-35=55']
Exploring Operation: 68+10=78, Resulting Numbers: [55, 78]
Generated Node #0,3,0: 34:[55, 78] Operation: 68+10=78
Exploring Operation: 68-10=58, Resulting Numbers: [55, 58]
Generated Node #0,3,1: 34:[55, 58] Operation: 68-10=58
Exploring Operation: 68-55=13, Resulting Numbers: [10, 13]
Generated Node #0,3,2: 34:[10, 13] Operation: 68-55=13
Exploring Operation: 55-10=45, Resulting Numbers: [68, 45]
Generated Node #0,3,3: 34:[68, 45] Operation: 55-10=45
Exploring Operation: 10+55=65, Resulting Numbers: [68, 65]
Generated Node #0,3,4: 34:[68, 65] Operation: 10+55=65
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[10, 13], Operations: ['90-35=55', '68-55=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,34 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,34 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 #0,3,1
Current State: 34:[55, 58], Operations: ['90-35=55', '68-10=58']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 55+58=113, Resulting Numbers: [113]
113,34 unequal: No Solution
Exploring Operation: 55*58=3190, Resulting Numbers: [3190]
3190,34 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 #0,3,3
Current State: 34:[68, 45], Operations: ['90-35=55', '55-10=45']
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,34 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,34 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 #0,3,0
Current State: 34:[55, 78], Operations: ['90-35=55', '68+10=78']
Exploring Operation: 55+78=133, Resulting Numbers: [133]
133,34 unequal: No Solution
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 55*78=4290, Resulting Numbers: [4290]
4290,34 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 #0,3,4
Current State: 34:[68, 65], Operations: ['90-35=55', '10+55=65']
Exploring Operation: 68*65=4420, Resulting Numbers: [4420]
4420,34 unequal: No Solution
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,34 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: 34:[90, 10, 33], Operations: ['68-35=33']
Exploring Operation: 90-33=57, Resulting Numbers: [10, 57]
Generated Node #0,4,0: 34:[10, 57] Operation: 90-33=57
Exploring Operation: 90-10=80, Resulting Numbers: [33, 80]
Generated Node #0,4,1: 34:[33, 80] Operation: 90-10=80
Exploring Operation: 10+33=43, Resulting Numbers: [90, 43]
Generated Node #0,4,2: 34:[90, 43] Operation: 10+33=43
Exploring Operation: 90/10=9, Resulting Numbers: [33, 9]
Generated Node #0,4,3: 34:[33, 9] Operation: 90/10=9
Exploring Operation: 33-10=23, Resulting Numbers: [90, 23]
Generated Node #0,4,4: 34:[90, 23] Operation: 33-10=23
Moving to Node #0,0
Current State: 34:[90, 35, 58], Operations: ['68-10=58']
Exploring Operation: 90-35=55, Resulting Numbers: [58, 55]
Generated Node #0,0,0: 34:[58, 55] Operation: 90-35=55
Exploring Operation: 58-35=23, Resulting Numbers: [90, 23]
Generated Node #0,0,1: 34:[90, 23] Operation: 58-35=23
Exploring Operation: 90+35=125, Resulting Numbers: [58, 125]
Generated Node #0,0,2: 34:[58, 125] Operation: 90+35=125
Exploring Operation: 90-58=32, Resulting Numbers: [35, 32]
Generated Node #0,0,3: 34:[35, 32] Operation: 90-58=32
Exploring Operation: 90+58=148, Resulting Numbers: [35, 148]
Generated Node #0,0,4: 34:[35, 148] Operation: 90+58=148
Moving to Node #0,0,3
Current State: 34:[35, 32], Operations: ['68-10=58', '90-58=32']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,34 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[33, 9], Operations: ['68-35=33', '90/10=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,34 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[9, 33], Operations: ['90/10=9', '68-35=33']
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,34 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[35, 59], Operations: ['90/10=9', '68-9=59']
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 35*59=2065, Resulting Numbers: [2065]
2065,34 unequal: No Solution
Exploring Operation: 35+59=94, Resulting Numbers: [94]
94,34 unequal: No Solution
Moving to Node #0,4,0
Current State: 34:[10, 57], Operations: ['68-35=33', '90-33=57']
Exploring Operation: 10*57=570, Resulting Numbers: [570]
570,34 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[68, 26], Operations: ['90/10=9', '35-9=26']
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,34 unequal: No Solution
Exploring Operation: 68*26=1768, Resulting Numbers: [1768]
1768,34 unequal: No Solution
Moving to Node #0,2,4
Current State: 34:[68, 44], Operations: ['90/10=9', '35+9=44']
Exploring Operation: 68*44=2992, Resulting Numbers: [2992]
2992,34 unequal: No Solution
Exploring Operation: 68+44=112, Resulting Numbers: [112]
112,34 unequal: No Solution
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[35, 77], Operations: ['90/10=9', '68+9=77']
Exploring Operation: 35*77=2695, Resulting Numbers: [2695]
2695,34 unequal: No Solution
Exploring Operation: 35+77=112, Resulting Numbers: [112]
112,34 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[58, 55], Operations: ['68-10=58', '90-35=55']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 58*55=3190, Resulting Numbers: [3190]
3190,34 unequal: No Solution
Exploring Operation: 58+55=113, Resulting Numbers: [113]
113,34 unequal: No Solution
Moving to Node #0,4,1
Current State: 34:[33, 80], Operations: ['68-35=33', '90-10=80']
Exploring Operation: 33*80=2640, Resulting Numbers: [2640]
2640,34 unequal: No Solution
Exploring Operation: 33+80=113, Resulting Numbers: [113]
113,34 unequal: No Solution
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[90, 23], Operations: ['68-10=58', '58-35=23']
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,34 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,34 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[90, 23], Operations: ['68-35=33', '33-10=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,34 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,34 unequal: No Solution
Moving to Node #0,4,2
Current State: 34:[90, 43], Operations: ['68-35=33', '10+33=43']
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,34 unequal: No Solution
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,34 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[35, 148], Operations: ['68-10=58', '90+58=148']
Exploring Operation: 35+148=183, Resulting Numbers: [183]
183,34 unequal: No Solution
Exploring Operation: 35*148=5180, Resulting Numbers: [5180]
5180,34 unequal: No Solution
Exploring Operation: 148-35=113, Resulting Numbers: [113]
113,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[58, 125], Operations: ['68-10=58', '90+35=125']
Exploring Operation: 125-58=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 58+125=183, Resulting Numbers: [183]
183,34 unequal: No Solution
Exploring Operation: 58*125=7250, Resulting Numbers: [7250]
7250,34 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
88,
64,
6,
48
] | 18 | [
"88-64=24",
"48-6=42",
"42-24=18"
] | Current State: 18:[88, 64, 6, 48], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [6, 48, 24]
Generated Node #2: [6, 48, 24] from Operation: 88-64=24
Current State: 18:[6, 48, 24], Operations: ['88-64=24']
Exploring Operation: 48-6=42, Resulting Numbers: [24, 42]
Generated Node #3: [24, 42] from Operation: 48-6=42
Current State: 18:[24, 42], Operations: ['88-64=24', '48-6=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[88, 64, 6, 48], Operations: []
Exploring Operation: 64-48=16, Resulting Numbers: [88, 6, 16]
Generated Node #0,0: 18:[88, 6, 16] Operation: 64-48=16
Exploring Operation: 88-64=24, Resulting Numbers: [6, 48, 24]
Generated Node #0,1: 18:[6, 48, 24] Operation: 88-64=24
Exploring Operation: 88-48=40, Resulting Numbers: [64, 6, 40]
Generated Node #0,2: 18:[64, 6, 40] Operation: 88-48=40
Exploring Operation: 48/6=8, Resulting Numbers: [88, 64, 8]
Generated Node #0,3: 18:[88, 64, 8] Operation: 48/6=8
Moving to Node #0,1
Current State: 18:[6, 48, 24], Operations: ['88-64=24']
Exploring Operation: 48/6=8, Resulting Numbers: [24, 8]
Generated Node #0,1,0: 18:[24, 8] Operation: 48/6=8
Exploring Operation: 48-24=24, Resulting Numbers: [6, 24]
Generated Node #0,1,1: 18:[6, 24] Operation: 48-24=24
Exploring Operation: 48-6=42, Resulting Numbers: [24, 42]
Generated Node #0,1,2: 18:[24, 42] Operation: 48-6=42
Exploring Operation: 48/24=2, Resulting Numbers: [6, 2]
Generated Node #0,1,3: 18:[6, 2] Operation: 48/24=2
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[6, 2], Operations: ['88-64=24', '48/24=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,18 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[6, 24], Operations: ['88-64=24', '48-24=24']
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,18 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[88, 64, 6, 48], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [6, 48, 24]
Generated Node #0,1: 18:[6, 48, 24] Operation: 88-64=24
Moving to Node #0,1
Current State: 18:[6, 48, 24], Operations: ['88-64=24']
Exploring Operation: 48-24=24, Resulting Numbers: [6, 24]
Generated Node #0,1,1: 18:[6, 24] Operation: 48-24=24
Moving to Node #0,1,1
Current State: 18:[6, 24], Operations: ['88-64=24', '48-24=24']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
10,
89,
51,
50
] | 78 | [
"89-10=79",
"51-50=1",
"79-1=78"
] | Current State: 78:[10, 89, 51, 50], Operations: []
Exploring Operation: 89-10=79, Resulting Numbers: [51, 50, 79]
Generated Node #2: [51, 50, 79] from Operation: 89-10=79
Current State: 78:[51, 50, 79], Operations: ['89-10=79']
Exploring Operation: 51-50=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 51-50=1
Current State: 78:[79, 1], Operations: ['89-10=79', '51-50=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[10, 89, 51, 50], Operations: []
Exploring Operation: 89-50=39, Resulting Numbers: [10, 51, 39]
Generated Node #0,0: 78:[10, 51, 39] Operation: 89-50=39
Exploring Operation: 89-10=79, Resulting Numbers: [51, 50, 79]
Generated Node #0,1: 78:[51, 50, 79] Operation: 89-10=79
Exploring Operation: 51-50=1, Resulting Numbers: [10, 89, 1]
Generated Node #0,2: 78:[10, 89, 1] Operation: 51-50=1
Exploring Operation: 89-51=38, Resulting Numbers: [10, 50, 38]
Generated Node #0,3: 78:[10, 50, 38] Operation: 89-51=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[10, 51, 39], Operations: ['89-50=39']
Exploring Operation: 51+39=90, Resulting Numbers: [10, 90]
Generated Node #0,0,0: 78:[10, 90] Operation: 51+39=90
Exploring Operation: 39-10=29, Resulting Numbers: [51, 29]
Generated Node #0,0,1: 78:[51, 29] Operation: 39-10=29
Exploring Operation: 51-39=12, Resulting Numbers: [10, 12]
Generated Node #0,0,2: 78:[10, 12] Operation: 51-39=12
Exploring Operation: 51-10=41, Resulting Numbers: [39, 41]
Generated Node #0,0,3: 78:[39, 41] Operation: 51-10=41
Moving to Node #0,0,3
Current State: 78:[39, 41], Operations: ['89-50=39', '51-10=41']
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,78 unequal: No Solution
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[10, 12], Operations: ['89-50=39', '51-39=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[51, 29], Operations: ['89-50=39', '39-10=29']
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,78 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[10, 90], Operations: ['89-50=39', '51+39=90']
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,78 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,78 unequal: No Solution
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,78 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 #0,2
Current State: 78:[10, 89, 1], Operations: ['51-50=1']
Exploring Operation: 89-10=79, Resulting Numbers: [1, 79]
Generated Node #0,2,0: 78:[1, 79] Operation: 89-10=79
Exploring Operation: 10+1=11, Resulting Numbers: [89, 11]
Generated Node #0,2,1: 78:[89, 11] Operation: 10+1=11
Exploring Operation: 10*1=10, Resulting Numbers: [89, 10]
Generated Node #0,2,2: 78:[89, 10] Operation: 10*1=10
Exploring Operation: 89-1=88, Resulting Numbers: [10, 88]
Generated Node #0,2,3: 78:[10, 88] Operation: 89-1=88
Moving to Node #0,2,0
Current State: 78:[1, 79], Operations: ['51-50=1', '89-10=79']
Exploring Operation: 1*79=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[10, 89, 51, 50], Operations: []
Exploring Operation: 51-50=1, Resulting Numbers: [10, 89, 1]
Generated Node #0,2: 78:[10, 89, 1] Operation: 51-50=1
Moving to Node #0,2
Current State: 78:[10, 89, 1], Operations: ['51-50=1']
Exploring Operation: 89-10=79, Resulting Numbers: [1, 79]
Generated Node #0,2,0: 78:[1, 79] Operation: 89-10=79
Moving to Node #0,2,0
Current State: 78:[1, 79], Operations: ['51-50=1', '89-10=79']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
7,
88,
61,
38
] | 18 | [
"88-7=81",
"61+38=99",
"99-81=18"
] | Current State: 18:[7, 88, 61, 38], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [61, 38, 81]
Generated Node #2: [61, 38, 81] from Operation: 88-7=81
Current State: 18:[61, 38, 81], Operations: ['88-7=81']
Exploring Operation: 61+38=99, Resulting Numbers: [81, 99]
Generated Node #3: [81, 99] from Operation: 61+38=99
Current State: 18:[81, 99], Operations: ['88-7=81', '61+38=99']
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[7, 88, 61, 38], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [7, 38, 27]
Generated Node #0,0: 18:[7, 38, 27] Operation: 88-61=27
Exploring Operation: 88-38=50, Resulting Numbers: [7, 61, 50]
Generated Node #0,1: 18:[7, 61, 50] Operation: 88-38=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[7, 38, 27], Operations: ['88-61=27']
Exploring Operation: 38-27=11, Resulting Numbers: [7, 11]
Generated Node #0,0,0: 18:[7, 11] Operation: 38-27=11
Exploring Operation: 38-7=31, Resulting Numbers: [27, 31]
Generated Node #0,0,1: 18:[27, 31] Operation: 38-7=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[7, 11], Operations: ['88-61=27', '38-27=11']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[7, 88, 61, 38], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [7, 38, 27]
Generated Node #0,0: 18:[7, 38, 27] Operation: 88-61=27
Moving to Node #0,0
Current State: 18:[7, 38, 27], Operations: ['88-61=27']
Exploring Operation: 38-27=11, Resulting Numbers: [7, 11]
Generated Node #0,0,0: 18:[7, 11] Operation: 38-27=11
Moving to Node #0,0,0
Current State: 18:[7, 11], Operations: ['88-61=27', '38-27=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
81,
2,
62,
13
] | 74 | [
"81-13=68",
"2*68=136",
"136-62=74"
] | Current State: 74:[81, 2, 62, 13], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [2, 62, 68]
Generated Node #2: [2, 62, 68] from Operation: 81-13=68
Current State: 74:[2, 62, 68], Operations: ['81-13=68']
Exploring Operation: 2*68=136, Resulting Numbers: [62, 136]
Generated Node #3: [62, 136] from Operation: 2*68=136
Current State: 74:[62, 136], Operations: ['81-13=68', '2*68=136']
Exploring Operation: 136-62=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[81, 2, 62, 13], Operations: []
Exploring Operation: 62-13=49, Resulting Numbers: [81, 2, 49]
Generated Node #0,0: 74:[81, 2, 49] Operation: 62-13=49
Exploring Operation: 81-13=68, Resulting Numbers: [2, 62, 68]
Generated Node #0,1: 74:[2, 62, 68] Operation: 81-13=68
Exploring Operation: 62/2=31, Resulting Numbers: [81, 13, 31]
Generated Node #0,2: 74:[81, 13, 31] Operation: 62/2=31
Exploring Operation: 62+13=75, Resulting Numbers: [81, 2, 75]
Generated Node #0,3: 74:[81, 2, 75] Operation: 62+13=75
Moving to Node #0,3
Current State: 74:[81, 2, 75], Operations: ['62+13=75']
Exploring Operation: 75-2=73, Resulting Numbers: [81, 73]
Generated Node #0,3,0: 74:[81, 73] Operation: 75-2=73
Exploring Operation: 81+2=83, Resulting Numbers: [75, 83]
Generated Node #0,3,1: 74:[75, 83] Operation: 81+2=83
Exploring Operation: 81-2=79, Resulting Numbers: [75, 79]
Generated Node #0,3,2: 74:[75, 79] Operation: 81-2=79
Exploring Operation: 81-75=6, Resulting Numbers: [2, 6]
Generated Node #0,3,3: 74:[2, 6] Operation: 81-75=6
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[2, 6], Operations: ['62+13=75', '81-75=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[75, 79], Operations: ['62+13=75', '81-2=79']
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,74 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[81, 73], Operations: ['62+13=75', '75-2=73']
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 81+73=154, Resulting Numbers: [154]
154,74 unequal: No Solution
Exploring Operation: 81*73=5913, Resulting Numbers: [5913]
5913,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 74:[75, 83], Operations: ['62+13=75', '81+2=83']
Exploring Operation: 75+83=158, Resulting Numbers: [158]
158,74 unequal: No Solution
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 75*83=6225, Resulting Numbers: [6225]
6225,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 74:[2, 62, 68], Operations: ['81-13=68']
Exploring Operation: 2+62=64, Resulting Numbers: [68, 64]
Generated Node #0,1,0: 74:[68, 64] Operation: 2+62=64
Exploring Operation: 68/2=34, Resulting Numbers: [62, 34]
Generated Node #0,1,1: 74:[62, 34] Operation: 68/2=34
Exploring Operation: 68-62=6, Resulting Numbers: [2, 6]
Generated Node #0,1,2: 74:[2, 6] Operation: 68-62=6
Exploring Operation: 62/2=31, Resulting Numbers: [68, 31]
Generated Node #0,1,3: 74:[68, 31] Operation: 62/2=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[2, 6], Operations: ['81-13=68', '68-62=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 74:[68, 31], Operations: ['81-13=68', '62/2=31']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,74 unequal: No Solution
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[62, 34], Operations: ['81-13=68', '68/2=34']
Exploring Operation: 62*34=2108, Resulting Numbers: [2108]
2108,74 unequal: No Solution
Exploring Operation: 62+34=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[68, 64], Operations: ['81-13=68', '2+62=64']
Exploring Operation: 68*64=4352, Resulting Numbers: [4352]
4352,74 unequal: No Solution
Exploring Operation: 68+64=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 68-64=4, Resulting Numbers: [4]
4,74 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: 74:[81, 2, 49], Operations: ['62-13=49']
Exploring Operation: 49-2=47, Resulting Numbers: [81, 47]
Generated Node #0,0,0: 74:[81, 47] Operation: 49-2=47
Exploring Operation: 81+2=83, Resulting Numbers: [49, 83]
Generated Node #0,0,1: 74:[49, 83] Operation: 81+2=83
Exploring Operation: 81-2=79, Resulting Numbers: [49, 79]
Generated Node #0,0,2: 74:[49, 79] Operation: 81-2=79
Exploring Operation: 81-49=32, Resulting Numbers: [2, 32]
Generated Node #0,0,3: 74:[2, 32] Operation: 81-49=32
Moving to Node #0,2
Current State: 74:[81, 13, 31], Operations: ['62/2=31']
Exploring Operation: 81-13=68, Resulting Numbers: [31, 68]
Generated Node #0,2,0: 74:[31, 68] Operation: 81-13=68
Exploring Operation: 31-13=18, Resulting Numbers: [81, 18]
Generated Node #0,2,1: 74:[81, 18] Operation: 31-13=18
Exploring Operation: 13+31=44, Resulting Numbers: [81, 44]
Generated Node #0,2,2: 74:[81, 44] Operation: 13+31=44
Exploring Operation: 81-31=50, Resulting Numbers: [13, 50]
Generated Node #0,2,3: 74:[13, 50] Operation: 81-31=50
Moving to Node #0,0,3
Current State: 74:[2, 32], Operations: ['62-13=49', '81-49=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[31, 68], Operations: ['62/2=31', '81-13=68']
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,74 unequal: No Solution
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,74 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[81, 44], Operations: ['62/2=31', '13+31=44']
Exploring Operation: 81*44=3564, Resulting Numbers: [3564]
3564,74 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 81+44=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Moving to Node #0,0,2
Current State: 74:[49, 79], Operations: ['62-13=49', '81-2=79']
Exploring Operation: 49*79=3871, Resulting Numbers: [3871]
3871,74 unequal: No Solution
Exploring Operation: 49+79=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[81, 47], Operations: ['62-13=49', '49-2=47']
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 81+47=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 81*47=3807, Resulting Numbers: [3807]
3807,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[49, 83], Operations: ['62-13=49', '81+2=83']
Exploring Operation: 49*83=4067, Resulting Numbers: [4067]
4067,74 unequal: No Solution
Exploring Operation: 49+83=132, Resulting Numbers: [132]
132,74 unequal: No Solution
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[81, 18], Operations: ['62/2=31', '31-13=18']
Exploring Operation: 81*18=1458, Resulting Numbers: [1458]
1458,74 unequal: No Solution
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,74 unequal: No Solution
Exploring Operation: 81+18=99, Resulting Numbers: [99]
99,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[13, 50], Operations: ['62/2=31', '81-31=50']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,74 unequal: No Solution
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,74 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
87,
92,
19,
22
] | 46 | [
"92-87=5",
"19+22=41",
"5+41=46"
] | Current State: 46:[87, 92, 19, 22], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [19, 22, 5]
Generated Node #2: [19, 22, 5] from Operation: 92-87=5
Current State: 46:[19, 22, 5], Operations: ['92-87=5']
Exploring Operation: 19+22=41, Resulting Numbers: [5, 41]
Generated Node #3: [5, 41] from Operation: 19+22=41
Current State: 46:[5, 41], Operations: ['92-87=5', '19+22=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[87, 92, 19, 22], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [19, 22, 5]
Generated Node #0,0: 46:[19, 22, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[19, 22, 5], Operations: ['92-87=5']
Exploring Operation: 19+5=24, Resulting Numbers: [22, 24]
Generated Node #0,0,0: 46:[22, 24] Operation: 19+5=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[22, 24], Operations: ['92-87=5', '19+5=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[87, 92, 19, 22], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [19, 22, 5]
Generated Node #0,0: 46:[19, 22, 5] Operation: 92-87=5
Moving to Node #0,0
Current State: 46:[19, 22, 5], Operations: ['92-87=5']
Exploring Operation: 19+5=24, Resulting Numbers: [22, 24]
Generated Node #0,0,0: 46:[22, 24] Operation: 19+5=24
Moving to Node #0,0,0
Current State: 46:[22, 24], Operations: ['92-87=5', '19+5=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
38,
92,
56,
3
] | 26 | [
"92-56=36",
"36/3=12",
"38-12=26"
] | Current State: 26:[38, 92, 56, 3], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [38, 3, 36]
Generated Node #2: [38, 3, 36] from Operation: 92-56=36
Current State: 26:[38, 3, 36], Operations: ['92-56=36']
Exploring Operation: 36/3=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 36/3=12
Current State: 26:[38, 12], Operations: ['92-56=36', '36/3=12']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[38, 92, 56, 3], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [56, 3, 54]
Generated Node #0,0: 26:[56, 3, 54] Operation: 92-38=54
Exploring Operation: 92-56=36, Resulting Numbers: [38, 3, 36]
Generated Node #0,1: 26:[38, 3, 36] Operation: 92-56=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[38, 3, 36], Operations: ['92-56=36']
Exploring Operation: 38-36=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 26:[3, 2] Operation: 38-36=2
Exploring Operation: 36/3=12, Resulting Numbers: [38, 12]
Generated Node #0,1,1: 26:[38, 12] Operation: 36/3=12
Moving to Node #0,1,0
Current State: 26:[3, 2], Operations: ['92-56=36', '38-36=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[38, 12], Operations: ['92-56=36', '36/3=12']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[38, 92, 56, 3], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [38, 3, 36]
Generated Node #0,1: 26:[38, 3, 36] Operation: 92-56=36
Moving to Node #0,1
Current State: 26:[38, 3, 36], Operations: ['92-56=36']
Exploring Operation: 36/3=12, Resulting Numbers: [38, 12]
Generated Node #0,1,1: 26:[38, 12] Operation: 36/3=12
Moving to Node #0,1,1
Current State: 26:[38, 12], Operations: ['92-56=36', '36/3=12']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
95,
11,
9,
33
] | 64 | [
"95+11=106",
"9+33=42",
"106-42=64"
] | Current State: 64:[95, 11, 9, 33], Operations: []
Exploring Operation: 95+11=106, Resulting Numbers: [9, 33, 106]
Generated Node #2: [9, 33, 106] from Operation: 95+11=106
Current State: 64:[9, 33, 106], Operations: ['95+11=106']
Exploring Operation: 9+33=42, Resulting Numbers: [106, 42]
Generated Node #3: [106, 42] from Operation: 9+33=42
Current State: 64:[106, 42], Operations: ['95+11=106', '9+33=42']
Exploring Operation: 106-42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[95, 11, 9, 33], Operations: []
Exploring Operation: 95-11=84, Resulting Numbers: [9, 33, 84]
Generated Node #0,0: 64:[9, 33, 84] Operation: 95-11=84
Exploring Operation: 95-33=62, Resulting Numbers: [11, 9, 62]
Generated Node #0,1: 64:[11, 9, 62] Operation: 95-33=62
Exploring Operation: 95-9=86, Resulting Numbers: [11, 33, 86]
Generated Node #0,2: 64:[11, 33, 86] Operation: 95-9=86
Moving to Node #0,1
Current State: 64:[11, 9, 62], Operations: ['95-33=62']
Exploring Operation: 11+9=20, Resulting Numbers: [62, 20]
Generated Node #0,1,0: 64:[62, 20] Operation: 11+9=20
Exploring Operation: 11+62=73, Resulting Numbers: [9, 73]
Generated Node #0,1,1: 64:[9, 73] Operation: 11+62=73
Exploring Operation: 11-9=2, Resulting Numbers: [62, 2]
Generated Node #0,1,2: 64:[62, 2] Operation: 11-9=2
Moving to Node #0,0
Current State: 64:[9, 33, 84], Operations: ['95-11=84']
Exploring Operation: 33-9=24, Resulting Numbers: [84, 24]
Generated Node #0,0,0: 64:[84, 24] Operation: 33-9=24
Exploring Operation: 84-33=51, Resulting Numbers: [9, 51]
Generated Node #0,0,1: 64:[9, 51] Operation: 84-33=51
Exploring Operation: 84-9=75, Resulting Numbers: [33, 75]
Generated Node #0,0,2: 64:[33, 75] Operation: 84-9=75
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[33, 75], Operations: ['95-11=84', '84-9=75']
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,64 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[9, 51], Operations: ['95-11=84', '84-33=51']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,64 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[84, 24], Operations: ['95-11=84', '33-9=24']
Exploring Operation: 84*24=2016, Resulting Numbers: [2016]
2016,64 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 84+24=108, Resulting Numbers: [108]
108,64 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: 64:[11, 33, 86], Operations: ['95-9=86']
Exploring Operation: 33/11=3, Resulting Numbers: [86, 3]
Generated Node #0,2,0: 64:[86, 3] Operation: 33/11=3
Exploring Operation: 86-33=53, Resulting Numbers: [11, 53]
Generated Node #0,2,1: 64:[11, 53] Operation: 86-33=53
Exploring Operation: 86-11=75, Resulting Numbers: [33, 75]
Generated Node #0,2,2: 64:[33, 75] Operation: 86-11=75
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[33, 75], Operations: ['95-9=86', '86-11=75']
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,64 unequal: No Solution
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[11, 53], Operations: ['95-9=86', '86-33=53']
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[95, 11, 9, 33], Operations: []
Exploring Operation: 95-9=86, Resulting Numbers: [11, 33, 86]
Generated Node #0,2: 64:[11, 33, 86] Operation: 95-9=86
Moving to Node #0,2
Current State: 64:[11, 33, 86], Operations: ['95-9=86']
Exploring Operation: 86-33=53, Resulting Numbers: [11, 53]
Generated Node #0,2,1: 64:[11, 53] Operation: 86-33=53
Moving to Node #0,2,1
Current State: 64:[11, 53], Operations: ['95-9=86', '86-33=53']
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | sum_heuristic |
[
46,
16,
56,
26
] | 100 | [
"56-46=10",
"26-16=10",
"10*10=100"
] | Current State: 100:[46, 16, 56, 26], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [16, 26, 10]
Generated Node #2: [16, 26, 10] from Operation: 56-46=10
Current State: 100:[16, 26, 10], Operations: ['56-46=10']
Exploring Operation: 26-16=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 26-16=10
Current State: 100:[10, 10], Operations: ['56-46=10', '26-16=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[46, 16, 56, 26], Operations: []
Exploring Operation: 46-26=20, Resulting Numbers: [16, 56, 20]
Generated Node #0,0: 100:[16, 56, 20] Operation: 46-26=20
Exploring Operation: 46+56=102, Resulting Numbers: [16, 26, 102]
Generated Node #0,1: 100:[16, 26, 102] Operation: 46+56=102
Exploring Operation: 26-16=10, Resulting Numbers: [46, 56, 10]
Generated Node #0,2: 100:[46, 56, 10] Operation: 26-16=10
Exploring Operation: 46-16=30, Resulting Numbers: [56, 26, 30]
Generated Node #0,3: 100:[56, 26, 30] Operation: 46-16=30
Exploring Operation: 56-46=10, Resulting Numbers: [16, 26, 10]
Generated Node #0,4: 100:[16, 26, 10] Operation: 56-46=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 100:[16, 26, 10], Operations: ['56-46=10']
Exploring Operation: 26-16=10, Resulting Numbers: [10, 10]
Generated Node #0,4,0: 100:[10, 10] Operation: 26-16=10
Exploring Operation: 16+10=26, Resulting Numbers: [26, 26]
Generated Node #0,4,1: 100:[26, 26] Operation: 16+10=26
Exploring Operation: 16-10=6, Resulting Numbers: [26, 6]
Generated Node #0,4,2: 100:[26, 6] Operation: 16-10=6
Exploring Operation: 26-10=16, Resulting Numbers: [16, 16]
Generated Node #0,4,3: 100:[16, 16] Operation: 26-10=16
Exploring Operation: 16+26=42, Resulting Numbers: [10, 42]
Generated Node #0,4,4: 100:[10, 42] Operation: 16+26=42
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 100:[10, 10], Operations: ['56-46=10', '26-16=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[46, 16, 56, 26], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [16, 26, 10]
Generated Node #0,4: 100:[16, 26, 10] Operation: 56-46=10
Moving to Node #0,4
Current State: 100:[16, 26, 10], Operations: ['56-46=10']
Exploring Operation: 26-16=10, Resulting Numbers: [10, 10]
Generated Node #0,4,0: 100:[10, 10] Operation: 26-16=10
Moving to Node #0,4,0
Current State: 100:[10, 10], Operations: ['56-46=10', '26-16=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
50,
52,
82,
44
] | 78 | [
"50*82=4100",
"4100-44=4056",
"4056/52=78"
] | Current State: 78:[50, 52, 82, 44], Operations: []
Exploring Operation: 50*82=4100, Resulting Numbers: [52, 44, 4100]
Generated Node #2: [52, 44, 4100] from Operation: 50*82=4100
Current State: 78:[52, 44, 4100], Operations: ['50*82=4100']
Exploring Operation: 4100-44=4056, Resulting Numbers: [52, 4056]
Generated Node #3: [52, 4056] from Operation: 4100-44=4056
Current State: 78:[52, 4056], Operations: ['50*82=4100', '4100-44=4056']
Exploring Operation: 4056/52=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[50, 52, 82, 44], Operations: []
Exploring Operation: 52-44=8, Resulting Numbers: [50, 82, 8]
Generated Node #0,0: 78:[50, 82, 8] Operation: 52-44=8
Exploring Operation: 82-52=30, Resulting Numbers: [50, 44, 30]
Generated Node #0,1: 78:[50, 44, 30] Operation: 82-52=30
Exploring Operation: 50-44=6, Resulting Numbers: [52, 82, 6]
Generated Node #0,2: 78:[52, 82, 6] Operation: 50-44=6
Exploring Operation: 52-50=2, Resulting Numbers: [82, 44, 2]
Generated Node #0,3: 78:[82, 44, 2] Operation: 52-50=2
Moving to Node #0,3
Current State: 78:[82, 44, 2], Operations: ['52-50=2']
Exploring Operation: 82-44=38, Resulting Numbers: [2, 38]
Generated Node #0,3,0: 78:[2, 38] Operation: 82-44=38
Exploring Operation: 44-2=42, Resulting Numbers: [82, 42]
Generated Node #0,3,1: 78:[82, 42] Operation: 44-2=42
Exploring Operation: 82/2=41, Resulting Numbers: [44, 41]
Generated Node #0,3,2: 78:[44, 41] Operation: 82/2=41
Exploring Operation: 82-2=80, Resulting Numbers: [44, 80]
Generated Node #0,3,3: 78:[44, 80] Operation: 82-2=80
Moving to Node #0,2
Current State: 78:[52, 82, 6], Operations: ['50-44=6']
Exploring Operation: 82-52=30, Resulting Numbers: [6, 30]
Generated Node #0,2,0: 78:[6, 30] Operation: 82-52=30
Exploring Operation: 52-6=46, Resulting Numbers: [82, 46]
Generated Node #0,2,1: 78:[82, 46] Operation: 52-6=46
Exploring Operation: 82-6=76, Resulting Numbers: [52, 76]
Generated Node #0,2,2: 78:[52, 76] Operation: 82-6=76
Exploring Operation: 52+6=58, Resulting Numbers: [82, 58]
Generated Node #0,2,3: 78:[82, 58] Operation: 52+6=58
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[6, 30], Operations: ['50-44=6', '82-52=30']
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,78 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,78 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 #0,2,1
Current State: 78:[82, 46], Operations: ['50-44=6', '52-6=46']
Exploring Operation: 82+46=128, Resulting Numbers: [128]
128,78 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 82*46=3772, Resulting Numbers: [3772]
3772,78 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 #0,2,2
Current State: 78:[52, 76], Operations: ['50-44=6', '82-6=76']
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 52*76=3952, Resulting Numbers: [3952]
3952,78 unequal: No Solution
Exploring Operation: 52+76=128, Resulting Numbers: [128]
128,78 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 #0,2,3
Current State: 78:[82, 58], Operations: ['50-44=6', '52+6=58']
Exploring Operation: 82*58=4756, Resulting Numbers: [4756]
4756,78 unequal: No Solution
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 82+58=140, Resulting Numbers: [140]
140,78 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: 78:[50, 82, 8], Operations: ['52-44=8']
Exploring Operation: 50-8=42, Resulting Numbers: [82, 42]
Generated Node #0,0,0: 78:[82, 42] Operation: 50-8=42
Exploring Operation: 82-8=74, Resulting Numbers: [50, 74]
Generated Node #0,0,1: 78:[50, 74] Operation: 82-8=74
Exploring Operation: 82-50=32, Resulting Numbers: [8, 32]
Generated Node #0,0,2: 78:[8, 32] Operation: 82-50=32
Exploring Operation: 50+8=58, Resulting Numbers: [82, 58]
Generated Node #0,0,3: 78:[82, 58] Operation: 50+8=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[82, 42], Operations: ['52-44=8', '50-8=42']
Exploring Operation: 82+42=124, Resulting Numbers: [124]
124,78 unequal: No Solution
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 82*42=3444, Resulting Numbers: [3444]
3444,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[8, 32], Operations: ['52-44=8', '82-50=32']
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,78 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[50, 74], Operations: ['52-44=8', '82-8=74']
Exploring Operation: 50+74=124, Resulting Numbers: [124]
124,78 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 50*74=3700, Resulting Numbers: [3700]
3700,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 78:[82, 58], Operations: ['52-44=8', '50+8=58']
Exploring Operation: 82+58=140, Resulting Numbers: [140]
140,78 unequal: No Solution
Exploring Operation: 82*58=4756, Resulting Numbers: [4756]
4756,78 unequal: No Solution
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,78 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: 78:[50, 44, 30], Operations: ['82-52=30']
Exploring Operation: 50-44=6, Resulting Numbers: [30, 6]
Generated Node #0,1,0: 78:[30, 6] Operation: 50-44=6
Exploring Operation: 50+30=80, Resulting Numbers: [44, 80]
Generated Node #0,1,1: 78:[44, 80] Operation: 50+30=80
Exploring Operation: 44-30=14, Resulting Numbers: [50, 14]
Generated Node #0,1,2: 78:[50, 14] Operation: 44-30=14
Exploring Operation: 50-30=20, Resulting Numbers: [44, 20]
Generated Node #0,1,3: 78:[44, 20] Operation: 50-30=20
Moving to Node #0,3,0
Current State: 78:[2, 38], Operations: ['52-50=2', '82-44=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[30, 6], Operations: ['82-52=30', '50-44=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[44, 41], Operations: ['52-50=2', '82/2=41']
Exploring Operation: 44+41=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 44*41=1804, Resulting Numbers: [1804]
1804,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[44, 80], Operations: ['82-52=30', '50+30=80']
Exploring Operation: 44*80=3520, Resulting Numbers: [3520]
3520,78 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 44+80=124, Resulting Numbers: [124]
124,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[82, 42], Operations: ['52-50=2', '44-2=42']
Exploring Operation: 82+42=124, Resulting Numbers: [124]
124,78 unequal: No Solution
Exploring Operation: 82*42=3444, Resulting Numbers: [3444]
3444,78 unequal: No Solution
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[44, 80], Operations: ['52-50=2', '82-2=80']
Exploring Operation: 44*80=3520, Resulting Numbers: [3520]
3520,78 unequal: No Solution
Exploring Operation: 44+80=124, Resulting Numbers: [124]
124,78 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[44, 20], Operations: ['82-52=30', '50-30=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,78 unequal: No Solution
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,78 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[50, 14], Operations: ['82-52=30', '44-30=14']
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,78 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,78 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
41,
66,
4,
25
] | 33 | [
"41+66=107",
"25+107=132",
"132/4=33"
] | Current State: 33:[41, 66, 4, 25], Operations: []
Exploring Operation: 41+66=107, Resulting Numbers: [4, 25, 107]
Generated Node #2: [4, 25, 107] from Operation: 41+66=107
Current State: 33:[4, 25, 107], Operations: ['41+66=107']
Exploring Operation: 25+107=132, Resulting Numbers: [4, 132]
Generated Node #3: [4, 132] from Operation: 25+107=132
Current State: 33:[4, 132], Operations: ['41+66=107', '25+107=132']
Exploring Operation: 132/4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[41, 66, 4, 25], Operations: []
Exploring Operation: 66-25=41, Resulting Numbers: [41, 4, 41]
Generated Node #0,0: 33:[41, 4, 41] Operation: 66-25=41
Exploring Operation: 66-41=25, Resulting Numbers: [4, 25, 25]
Generated Node #0,1: 33:[4, 25, 25] Operation: 66-41=25
Exploring Operation: 41-4=37, Resulting Numbers: [66, 25, 37]
Generated Node #0,2: 33:[66, 25, 37] Operation: 41-4=37
Exploring Operation: 41-25=16, Resulting Numbers: [66, 4, 16]
Generated Node #0,3: 33:[66, 4, 16] Operation: 41-25=16
Moving to Node #0,0
Current State: 33:[41, 4, 41], Operations: ['66-25=41']
Exploring Operation: 41/41=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 33:[4, 1] Operation: 41/41=1
Exploring Operation: 41-4=37, Resulting Numbers: [41, 37]
Generated Node #0,0,1: 33:[41, 37] Operation: 41-4=37
Exploring Operation: 41-41=0, Resulting Numbers: [4, 0]
Generated Node #0,0,2: 33:[4, 0] Operation: 41-41=0
Exploring Operation: 41-4=37, Resulting Numbers: [41, 37]
Generated Node #0,0,3: 33:[41, 37] Operation: 41-4=37
Moving to Node #0,1
Current State: 33:[4, 25, 25], Operations: ['66-41=25']
Exploring Operation: 4+25=29, Resulting Numbers: [25, 29]
Generated Node #0,1,0: 33:[25, 29] Operation: 4+25=29
Exploring Operation: 25/25=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 33:[4, 1] Operation: 25/25=1
Exploring Operation: 25-25=0, Resulting Numbers: [4, 0]
Generated Node #0,1,2: 33:[4, 0] Operation: 25-25=0
Exploring Operation: 4+25=29, Resulting Numbers: [25, 29]
Generated Node #0,1,3: 33:[25, 29] Operation: 4+25=29
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[4, 1], Operations: ['66-41=25', '25/25=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[4, 0], Operations: ['66-41=25', '25-25=0']
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[25, 29], Operations: ['66-41=25', '4+25=29']
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 25*29=725, Resulting Numbers: [725]
725,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 33:[25, 29], Operations: ['66-41=25', '4+25=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 25*29=725, Resulting Numbers: [725]
725,33 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: 33:[66, 4, 16], Operations: ['41-25=16']
Exploring Operation: 16/4=4, Resulting Numbers: [66, 4]
Generated Node #0,3,0: 33:[66, 4] Operation: 16/4=4
Exploring Operation: 66-16=50, Resulting Numbers: [4, 50]
Generated Node #0,3,1: 33:[4, 50] Operation: 66-16=50
Exploring Operation: 16-4=12, Resulting Numbers: [66, 12]
Generated Node #0,3,2: 33:[66, 12] Operation: 16-4=12
Exploring Operation: 66-4=62, Resulting Numbers: [16, 62]
Generated Node #0,3,3: 33:[16, 62] Operation: 66-4=62
Moving to Node #0,2
Current State: 33:[66, 25, 37], Operations: ['41-4=37']
Exploring Operation: 66-37=29, Resulting Numbers: [25, 29]
Generated Node #0,2,0: 33:[25, 29] Operation: 66-37=29
Exploring Operation: 66-25=41, Resulting Numbers: [37, 41]
Generated Node #0,2,1: 33:[37, 41] Operation: 66-25=41
Exploring Operation: 66+25=91, Resulting Numbers: [37, 91]
Generated Node #0,2,2: 33:[37, 91] Operation: 66+25=91
Exploring Operation: 37-25=12, Resulting Numbers: [66, 12]
Generated Node #0,2,3: 33:[66, 12] Operation: 37-25=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[25, 29], Operations: ['41-4=37', '66-37=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 25*29=725, Resulting Numbers: [725]
725,33 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[37, 41], Operations: ['41-4=37', '66-25=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 37*41=1517, Resulting Numbers: [1517]
1517,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 33:[66, 12], Operations: ['41-4=37', '37-25=12']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 66*12=792, Resulting Numbers: [792]
792,33 unequal: No Solution
Exploring Operation: 66+12=78, Resulting Numbers: [78]
78,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[37, 91], Operations: ['41-4=37', '66+25=91']
Exploring Operation: 37*91=3367, Resulting Numbers: [3367]
3367,33 unequal: No Solution
Exploring Operation: 91-37=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 37+91=128, Resulting Numbers: [128]
128,33 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: 33:[4, 1], Operations: ['66-25=41', '41/41=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[4, 0], Operations: ['66-25=41', '41-41=0']
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[41, 37], Operations: ['66-25=41', '41-4=37']
Exploring Operation: 41*37=1517, Resulting Numbers: [1517]
1517,33 unequal: No Solution
Exploring Operation: 41+37=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[41, 37], Operations: ['66-25=41', '41-4=37']
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 41+37=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 41*37=1517, Resulting Numbers: [1517]
1517,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[4, 50], Operations: ['41-25=16', '66-16=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[66, 4], Operations: ['41-25=16', '16/4=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[16, 62], Operations: ['41-25=16', '66-4=62']
Exploring Operation: 16+62=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 16*62=992, Resulting Numbers: [992]
992,33 unequal: No Solution
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[66, 12], Operations: ['41-25=16', '16-4=12']
Exploring Operation: 66*12=792, Resulting Numbers: [792]
792,33 unequal: No Solution
Exploring Operation: 66+12=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,33 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
21,
3,
88,
27
] | 91 | [
"21+3=24",
"88+27=115",
"115-24=91"
] | Current State: 91:[21, 3, 88, 27], Operations: []
Exploring Operation: 21+3=24, Resulting Numbers: [88, 27, 24]
Generated Node #2: [88, 27, 24] from Operation: 21+3=24
Current State: 91:[88, 27, 24], Operations: ['21+3=24']
Exploring Operation: 88+27=115, Resulting Numbers: [24, 115]
Generated Node #3: [24, 115] from Operation: 88+27=115
Current State: 91:[24, 115], Operations: ['21+3=24', '88+27=115']
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[21, 3, 88, 27], Operations: []
Exploring Operation: 27-21=6, Resulting Numbers: [3, 88, 6]
Generated Node #0,0: 91:[3, 88, 6] Operation: 27-21=6
Moving to Node #0,0
Current State: 91:[3, 88, 6], Operations: ['27-21=6']
Exploring Operation: 3+88=91, Resulting Numbers: [6, 91]
Generated Node #0,0,0: 91:[6, 91] Operation: 3+88=91
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[6, 91], Operations: ['27-21=6', '3+88=91']
Exploring Operation: 6+91=97, Resulting Numbers: [97]
97,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
35,
6,
52,
97
] | 30 | [
"35+97=132",
"132/6=22",
"52-22=30"
] | Current State: 30:[35, 6, 52, 97], Operations: []
Exploring Operation: 35+97=132, Resulting Numbers: [6, 52, 132]
Generated Node #2: [6, 52, 132] from Operation: 35+97=132
Current State: 30:[6, 52, 132], Operations: ['35+97=132']
Exploring Operation: 132/6=22, Resulting Numbers: [52, 22]
Generated Node #3: [52, 22] from Operation: 132/6=22
Current State: 30:[52, 22], Operations: ['35+97=132', '132/6=22']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[35, 6, 52, 97], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [35, 6, 45]
Generated Node #0,0: 30:[35, 6, 45] Operation: 97-52=45
Exploring Operation: 52-35=17, Resulting Numbers: [6, 97, 17]
Generated Node #0,1: 30:[6, 97, 17] Operation: 52-35=17
Exploring Operation: 97-35=62, Resulting Numbers: [6, 52, 62]
Generated Node #0,2: 30:[6, 52, 62] Operation: 97-35=62
Moving to Node #0,0
Current State: 30:[35, 6, 45], Operations: ['97-52=45']
Exploring Operation: 35-6=29, Resulting Numbers: [45, 29]
Generated Node #0,0,0: 30:[45, 29] Operation: 35-6=29
Exploring Operation: 45-6=39, Resulting Numbers: [35, 39]
Generated Node #0,0,1: 30:[35, 39] Operation: 45-6=39
Exploring Operation: 45-35=10, Resulting Numbers: [6, 10]
Generated Node #0,0,2: 30:[6, 10] Operation: 45-35=10
Moving to Node #0,2
Current State: 30:[6, 52, 62], Operations: ['97-35=62']
Exploring Operation: 62-6=56, Resulting Numbers: [52, 56]
Generated Node #0,2,0: 30:[52, 56] Operation: 62-6=56
Exploring Operation: 52-6=46, Resulting Numbers: [62, 46]
Generated Node #0,2,1: 30:[62, 46] Operation: 52-6=46
Exploring Operation: 62-52=10, Resulting Numbers: [6, 10]
Generated Node #0,2,2: 30:[6, 10] Operation: 62-52=10
Moving to Node #0,1
Current State: 30:[6, 97, 17], Operations: ['52-35=17']
Exploring Operation: 97-17=80, Resulting Numbers: [6, 80]
Generated Node #0,1,0: 30:[6, 80] Operation: 97-17=80
Exploring Operation: 17-6=11, Resulting Numbers: [97, 11]
Generated Node #0,1,1: 30:[97, 11] Operation: 17-6=11
Exploring Operation: 97-6=91, Resulting Numbers: [17, 91]
Generated Node #0,1,2: 30:[17, 91] Operation: 97-6=91
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[6, 80], Operations: ['52-35=17', '97-17=80']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,30 unequal: No Solution
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,30 unequal: No Solution
Exploring Operation: 6*80=480, Resulting Numbers: [480]
480,30 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 #0,1,2
Current State: 30:[17, 91], Operations: ['52-35=17', '97-6=91']
Exploring Operation: 17*91=1547, Resulting Numbers: [1547]
1547,30 unequal: No Solution
Exploring Operation: 17+91=108, Resulting Numbers: [108]
108,30 unequal: No Solution
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[97, 11], Operations: ['52-35=17', '17-6=11']
Exploring Operation: 97*11=1067, Resulting Numbers: [1067]
1067,30 unequal: No Solution
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,30 unequal: No Solution
Exploring Operation: 97+11=108, Resulting Numbers: [108]
108,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 30:[6, 10], Operations: ['97-52=45', '45-35=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[6, 10], Operations: ['97-35=62', '62-52=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[35, 39], Operations: ['97-52=45', '45-6=39']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,30 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[45, 29], Operations: ['97-52=45', '35-6=29']
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,30 unequal: No Solution
Exploring Operation: 45*29=1305, Resulting Numbers: [1305]
1305,30 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[62, 46], Operations: ['97-35=62', '52-6=46']
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 62*46=2852, Resulting Numbers: [2852]
2852,30 unequal: No Solution
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[52, 56], Operations: ['97-35=62', '62-6=56']
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 52*56=2912, Resulting Numbers: [2912]
2912,30 unequal: No Solution
Exploring Operation: 52+56=108, Resulting Numbers: [108]
108,30 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
82,
19,
12,
22
] | 67 | [
"82+19=101",
"12+22=34",
"101-34=67"
] | Current State: 67:[82, 19, 12, 22], Operations: []
Exploring Operation: 82+19=101, Resulting Numbers: [12, 22, 101]
Generated Node #2: [12, 22, 101] from Operation: 82+19=101
Current State: 67:[12, 22, 101], Operations: ['82+19=101']
Exploring Operation: 12+22=34, Resulting Numbers: [101, 34]
Generated Node #3: [101, 34] from Operation: 12+22=34
Current State: 67:[101, 34], Operations: ['82+19=101', '12+22=34']
Exploring Operation: 101-34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[82, 19, 12, 22], Operations: []
Exploring Operation: 19+22=41, Resulting Numbers: [82, 12, 41]
Generated Node #0,0: 67:[82, 12, 41] Operation: 19+22=41
Exploring Operation: 19+12=31, Resulting Numbers: [82, 22, 31]
Generated Node #0,1: 67:[82, 22, 31] Operation: 19+12=31
Exploring Operation: 82-12=70, Resulting Numbers: [19, 22, 70]
Generated Node #0,2: 67:[19, 22, 70] Operation: 82-12=70
Exploring Operation: 12+22=34, Resulting Numbers: [82, 19, 34]
Generated Node #0,3: 67:[82, 19, 34] Operation: 12+22=34
Moving to Node #0,0
Current State: 67:[82, 12, 41], Operations: ['19+22=41']
Exploring Operation: 41-12=29, Resulting Numbers: [82, 29]
Generated Node #0,0,0: 67:[82, 29] Operation: 41-12=29
Exploring Operation: 12+41=53, Resulting Numbers: [82, 53]
Generated Node #0,0,1: 67:[82, 53] Operation: 12+41=53
Exploring Operation: 82-12=70, Resulting Numbers: [41, 70]
Generated Node #0,0,2: 67:[41, 70] Operation: 82-12=70
Exploring Operation: 82+12=94, Resulting Numbers: [41, 94]
Generated Node #0,0,3: 67:[41, 94] Operation: 82+12=94
Moving to Node #0,2
Current State: 67:[19, 22, 70], Operations: ['82-12=70']
Exploring Operation: 22-19=3, Resulting Numbers: [70, 3]
Generated Node #0,2,0: 67:[70, 3] Operation: 22-19=3
Exploring Operation: 19+70=89, Resulting Numbers: [22, 89]
Generated Node #0,2,1: 67:[22, 89] Operation: 19+70=89
Exploring Operation: 19+22=41, Resulting Numbers: [70, 41]
Generated Node #0,2,2: 67:[70, 41] Operation: 19+22=41
Exploring Operation: 70-19=51, Resulting Numbers: [22, 51]
Generated Node #0,2,3: 67:[22, 51] Operation: 70-19=51
Moving to Node #0,1
Current State: 67:[82, 22, 31], Operations: ['19+12=31']
Exploring Operation: 82+22=104, Resulting Numbers: [31, 104]
Generated Node #0,1,0: 67:[31, 104] Operation: 82+22=104
Exploring Operation: 22+31=53, Resulting Numbers: [82, 53]
Generated Node #0,1,1: 67:[82, 53] Operation: 22+31=53
Exploring Operation: 82-31=51, Resulting Numbers: [22, 51]
Generated Node #0,1,2: 67:[22, 51] Operation: 82-31=51
Exploring Operation: 82-22=60, Resulting Numbers: [31, 60]
Generated Node #0,1,3: 67:[31, 60] Operation: 82-22=60
Moving to Node #0,3
Current State: 67:[82, 19, 34], Operations: ['12+22=34']
Exploring Operation: 82+19=101, Resulting Numbers: [34, 101]
Generated Node #0,3,0: 67:[34, 101] Operation: 82+19=101
Exploring Operation: 82-19=63, Resulting Numbers: [34, 63]
Generated Node #0,3,1: 67:[34, 63] Operation: 82-19=63
Exploring Operation: 82-34=48, Resulting Numbers: [19, 48]
Generated Node #0,3,2: 67:[19, 48] Operation: 82-34=48
Exploring Operation: 19+34=53, Resulting Numbers: [82, 53]
Generated Node #0,3,3: 67:[82, 53] Operation: 19+34=53
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 67:[82, 53], Operations: ['12+22=34', '19+34=53']
Exploring Operation: 82+53=135, Resulting Numbers: [135]
135,67 unequal: No Solution
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 82*53=4346, Resulting Numbers: [4346]
4346,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 67:[34, 63], Operations: ['12+22=34', '82-19=63']
Exploring Operation: 34+63=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Exploring Operation: 34*63=2142, Resulting Numbers: [2142]
2142,67 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 67:[34, 101], Operations: ['12+22=34', '82+19=101']
Exploring Operation: 101-34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[82, 19, 12, 22], Operations: []
Exploring Operation: 12+22=34, Resulting Numbers: [82, 19, 34]
Generated Node #0,3: 67:[82, 19, 34] Operation: 12+22=34
Moving to Node #0,3
Current State: 67:[82, 19, 34], Operations: ['12+22=34']
Exploring Operation: 82+19=101, Resulting Numbers: [34, 101]
Generated Node #0,3,0: 67:[34, 101] Operation: 82+19=101
Moving to Node #0,3,0
Current State: 67:[34, 101], Operations: ['12+22=34', '82+19=101']
Exploring Operation: 101-34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
82,
83,
70,
32
] | 37 | [
"83-82=1",
"70-32=38",
"38-1=37"
] | Current State: 37:[82, 83, 70, 32], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [70, 32, 1]
Generated Node #2: [70, 32, 1] from Operation: 83-82=1
Current State: 37:[70, 32, 1], Operations: ['83-82=1']
Exploring Operation: 70-32=38, Resulting Numbers: [1, 38]
Generated Node #3: [1, 38] from Operation: 70-32=38
Current State: 37:[1, 38], Operations: ['83-82=1', '70-32=38']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[82, 83, 70, 32], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [70, 32, 1]
Generated Node #0,0: 37:[70, 32, 1] Operation: 83-82=1
Exploring Operation: 82-32=50, Resulting Numbers: [83, 70, 50]
Generated Node #0,1: 37:[83, 70, 50] Operation: 82-32=50
Exploring Operation: 83-70=13, Resulting Numbers: [82, 32, 13]
Generated Node #0,2: 37:[82, 32, 13] Operation: 83-70=13
Exploring Operation: 82-70=12, Resulting Numbers: [83, 32, 12]
Generated Node #0,3: 37:[83, 32, 12] Operation: 82-70=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[70, 32, 1], Operations: ['83-82=1']
Exploring Operation: 70*1=70, Resulting Numbers: [32, 70]
Generated Node #0,0,0: 37:[32, 70] Operation: 70*1=70
Exploring Operation: 70-1=69, Resulting Numbers: [32, 69]
Generated Node #0,0,1: 37:[32, 69] Operation: 70-1=69
Exploring Operation: 32+1=33, Resulting Numbers: [70, 33]
Generated Node #0,0,2: 37:[70, 33] Operation: 32+1=33
Exploring Operation: 70-32=38, Resulting Numbers: [1, 38]
Generated Node #0,0,3: 37:[1, 38] Operation: 70-32=38
Moving to Node #0,0,1
Current State: 37:[32, 69], Operations: ['83-82=1', '70-1=69']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[82, 83, 70, 32], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [70, 32, 1]
Generated Node #0,0: 37:[70, 32, 1] Operation: 83-82=1
Moving to Node #0,0
Current State: 37:[70, 32, 1], Operations: ['83-82=1']
Exploring Operation: 70-1=69, Resulting Numbers: [32, 69]
Generated Node #0,0,1: 37:[32, 69] Operation: 70-1=69
Moving to Node #0,0,1
Current State: 37:[32, 69], Operations: ['83-82=1', '70-1=69']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
66,
52,
33,
53
] | 34 | [
"66-52=14",
"53-33=20",
"14+20=34"
] | Current State: 34:[66, 52, 33, 53], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [33, 53, 14]
Generated Node #2: [33, 53, 14] from Operation: 66-52=14
Current State: 34:[33, 53, 14], Operations: ['66-52=14']
Exploring Operation: 53-33=20, Resulting Numbers: [14, 20]
Generated Node #3: [14, 20] from Operation: 53-33=20
Current State: 34:[14, 20], Operations: ['66-52=14', '53-33=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[66, 52, 33, 53], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [52, 53, 2]
Generated Node #0,0: 34:[52, 53, 2] Operation: 66/33=2
Exploring Operation: 66-52=14, Resulting Numbers: [33, 53, 14]
Generated Node #0,1: 34:[33, 53, 14] Operation: 66-52=14
Exploring Operation: 66-53=13, Resulting Numbers: [52, 33, 13]
Generated Node #0,2: 34:[52, 33, 13] Operation: 66-53=13
Exploring Operation: 53-52=1, Resulting Numbers: [66, 33, 1]
Generated Node #0,3: 34:[66, 33, 1] Operation: 53-52=1
Moving to Node #0,1
Current State: 34:[33, 53, 14], Operations: ['66-52=14']
Exploring Operation: 53-33=20, Resulting Numbers: [14, 20]
Generated Node #0,1,0: 34:[14, 20] Operation: 53-33=20
Exploring Operation: 33-14=19, Resulting Numbers: [53, 19]
Generated Node #0,1,1: 34:[53, 19] Operation: 33-14=19
Exploring Operation: 33+14=47, Resulting Numbers: [53, 47]
Generated Node #0,1,2: 34:[53, 47] Operation: 33+14=47
Exploring Operation: 53-14=39, Resulting Numbers: [33, 39]
Generated Node #0,1,3: 34:[33, 39] Operation: 53-14=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[14, 20], Operations: ['66-52=14', '53-33=20']
Exploring Operation: 14*20=280, Resulting Numbers: [280]
280,34 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[66, 52, 33, 53], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [33, 53, 14]
Generated Node #0,1: 34:[33, 53, 14] Operation: 66-52=14
Moving to Node #0,1
Current State: 34:[33, 53, 14], Operations: ['66-52=14']
Exploring Operation: 53-33=20, Resulting Numbers: [14, 20]
Generated Node #0,1,0: 34:[14, 20] Operation: 53-33=20
Moving to Node #0,1,0
Current State: 34:[14, 20], Operations: ['66-52=14', '53-33=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
24,
75,
10,
91
] | 30 | [
"75-24=51",
"91-10=81",
"81-51=30"
] | Current State: 30:[24, 75, 10, 91], Operations: []
Exploring Operation: 75-24=51, Resulting Numbers: [10, 91, 51]
Generated Node #2: [10, 91, 51] from Operation: 75-24=51
Current State: 30:[10, 91, 51], Operations: ['75-24=51']
Exploring Operation: 91-10=81, Resulting Numbers: [51, 81]
Generated Node #3: [51, 81] from Operation: 91-10=81
Current State: 30:[51, 81], Operations: ['75-24=51', '91-10=81']
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[24, 75, 10, 91], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [24, 10, 16]
Generated Node #0,0: 30:[24, 10, 16] Operation: 91-75=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[24, 10, 16], Operations: ['91-75=16']
Exploring Operation: 24-10=14, Resulting Numbers: [16, 14]
Generated Node #0,0,0: 30:[16, 14] Operation: 24-10=14
Moving to Node #0,0,0
Current State: 30:[16, 14], Operations: ['91-75=16', '24-10=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[24, 75, 10, 91], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [24, 10, 16]
Generated Node #0,0: 30:[24, 10, 16] Operation: 91-75=16
Moving to Node #0,0
Current State: 30:[24, 10, 16], Operations: ['91-75=16']
Exploring Operation: 24-10=14, Resulting Numbers: [16, 14]
Generated Node #0,0,0: 30:[16, 14] Operation: 24-10=14
Moving to Node #0,0,0
Current State: 30:[16, 14], Operations: ['91-75=16', '24-10=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
6,
94,
70,
52
] | 82 | [
"6+94=100",
"70-52=18",
"100-18=82"
] | Current State: 82:[6, 94, 70, 52], Operations: []
Exploring Operation: 6+94=100, Resulting Numbers: [70, 52, 100]
Generated Node #2: [70, 52, 100] from Operation: 6+94=100
Current State: 82:[70, 52, 100], Operations: ['6+94=100']
Exploring Operation: 70-52=18, Resulting Numbers: [100, 18]
Generated Node #3: [100, 18] from Operation: 70-52=18
Current State: 82:[100, 18], Operations: ['6+94=100', '70-52=18']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[6, 94, 70, 52], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [6, 70, 42]
Generated Node #0,0: 82:[6, 70, 42] Operation: 94-52=42
Exploring Operation: 94-6=88, Resulting Numbers: [70, 52, 88]
Generated Node #0,1: 82:[70, 52, 88] Operation: 94-6=88
Exploring Operation: 6+70=76, Resulting Numbers: [94, 52, 76]
Generated Node #0,2: 82:[94, 52, 76] Operation: 6+70=76
Exploring Operation: 52-6=46, Resulting Numbers: [94, 70, 46]
Generated Node #0,3: 82:[94, 70, 46] Operation: 52-6=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[6, 70, 42], Operations: ['94-52=42']
Exploring Operation: 42/6=7, Resulting Numbers: [70, 7]
Generated Node #0,0,0: 82:[70, 7] Operation: 42/6=7
Exploring Operation: 70-42=28, Resulting Numbers: [6, 28]
Generated Node #0,0,1: 82:[6, 28] Operation: 70-42=28
Exploring Operation: 42-6=36, Resulting Numbers: [70, 36]
Generated Node #0,0,2: 82:[70, 36] Operation: 42-6=36
Exploring Operation: 6+70=76, Resulting Numbers: [42, 76]
Generated Node #0,0,3: 82:[42, 76] Operation: 6+70=76
Moving to Node #0,0,3
Current State: 82:[42, 76], Operations: ['94-52=42', '6+70=76']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 42+76=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 42*76=3192, Resulting Numbers: [3192]
3192,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[6, 28], Operations: ['94-52=42', '70-42=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,82 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[70, 7], Operations: ['94-52=42', '42/6=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,82 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[70, 36], Operations: ['94-52=42', '42-6=36']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 70+36=106, Resulting Numbers: [106]
106,82 unequal: No Solution
Exploring Operation: 70*36=2520, Resulting Numbers: [2520]
2520,82 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:[70, 52, 88], Operations: ['94-6=88']
Exploring Operation: 88-70=18, Resulting Numbers: [52, 18]
Generated Node #0,1,0: 82:[52, 18] Operation: 88-70=18
Exploring Operation: 70+52=122, Resulting Numbers: [88, 122]
Generated Node #0,1,1: 82:[88, 122] Operation: 70+52=122
Exploring Operation: 70-52=18, Resulting Numbers: [88, 18]
Generated Node #0,1,2: 82:[88, 18] Operation: 70-52=18
Exploring Operation: 88-52=36, Resulting Numbers: [70, 36]
Generated Node #0,1,3: 82:[70, 36] Operation: 88-52=36
Moving to Node #0,1,3
Current State: 82:[70, 36], Operations: ['94-6=88', '88-52=36']
Exploring Operation: 70*36=2520, Resulting Numbers: [2520]
2520,82 unequal: No Solution
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 70+36=106, Resulting Numbers: [106]
106,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[88, 18], Operations: ['94-6=88', '70-52=18']
Exploring Operation: 88*18=1584, Resulting Numbers: [1584]
1584,82 unequal: No Solution
Exploring Operation: 88+18=106, Resulting Numbers: [106]
106,82 unequal: No Solution
Exploring Operation: 88-18=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[52, 18], Operations: ['94-6=88', '88-70=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,82 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[88, 122], Operations: ['94-6=88', '70+52=122']
Exploring Operation: 88+122=210, Resulting Numbers: [210]
210,82 unequal: No Solution
Exploring Operation: 88*122=10736, Resulting Numbers: [10736]
10736,82 unequal: No Solution
Exploring Operation: 122-88=34, Resulting Numbers: [34]
34,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[94, 52, 76], Operations: ['6+70=76']
Exploring Operation: 52+76=128, Resulting Numbers: [94, 128]
Generated Node #0,2,0: 82:[94, 128] Operation: 52+76=128
Exploring Operation: 76-52=24, Resulting Numbers: [94, 24]
Generated Node #0,2,1: 82:[94, 24] Operation: 76-52=24
Exploring Operation: 94-52=42, Resulting Numbers: [76, 42]
Generated Node #0,2,2: 82:[76, 42] Operation: 94-52=42
Exploring Operation: 94-76=18, Resulting Numbers: [52, 18]
Generated Node #0,2,3: 82:[52, 18] Operation: 94-76=18
Moving to Node #0,2,2
Current State: 82:[76, 42], Operations: ['6+70=76', '94-52=42']
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 76*42=3192, Resulting Numbers: [3192]
3192,82 unequal: No Solution
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[52, 18], Operations: ['6+70=76', '94-76=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,82 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[94, 24], Operations: ['6+70=76', '76-52=24']
Exploring Operation: 94+24=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Exploring Operation: 94*24=2256, Resulting Numbers: [2256]
2256,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[94, 128], Operations: ['6+70=76', '52+76=128']
Exploring Operation: 94+128=222, Resulting Numbers: [222]
222,82 unequal: No Solution
Exploring Operation: 128-94=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 94*128=12032, Resulting Numbers: [12032]
12032,82 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:[94, 70, 46], Operations: ['52-6=46']
Exploring Operation: 94-70=24, Resulting Numbers: [46, 24]
Generated Node #0,3,0: 82:[46, 24] Operation: 94-70=24
Exploring Operation: 94-46=48, Resulting Numbers: [70, 48]
Generated Node #0,3,1: 82:[70, 48] Operation: 94-46=48
Exploring Operation: 70-46=24, Resulting Numbers: [94, 24]
Generated Node #0,3,2: 82:[94, 24] Operation: 70-46=24
Exploring Operation: 70+46=116, Resulting Numbers: [94, 116]
Generated Node #0,3,3: 82:[94, 116] Operation: 70+46=116
Moving to Node #0,3,1
Current State: 82:[70, 48], Operations: ['52-6=46', '94-46=48']
Exploring Operation: 70+48=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 70*48=3360, Resulting Numbers: [3360]
3360,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[46, 24], Operations: ['52-6=46', '94-70=24']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,82 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[94, 24], Operations: ['52-6=46', '70-46=24']
Exploring Operation: 94+24=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 94*24=2256, Resulting Numbers: [2256]
2256,82 unequal: No Solution
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[94, 116], Operations: ['52-6=46', '70+46=116']
Exploring Operation: 94+116=210, Resulting Numbers: [210]
210,82 unequal: No Solution
Exploring Operation: 116-94=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 94*116=10904, Resulting Numbers: [10904]
10904,82 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 |
[
17,
75,
5,
22
] | 74 | [
"17+5=22",
"22/22=1",
"75-1=74"
] | Current State: 74:[17, 75, 5, 22], Operations: []
Exploring Operation: 17+5=22, Resulting Numbers: [75, 22, 22]
Generated Node #2: [75, 22, 22] from Operation: 17+5=22
Current State: 74:[75, 22, 22], Operations: ['17+5=22']
Exploring Operation: 22/22=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 22/22=1
Current State: 74:[75, 1], Operations: ['17+5=22', '22/22=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[17, 75, 5, 22], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [75, 22, 12]
Generated Node #0,0: 74:[75, 22, 12] Operation: 17-5=12
Exploring Operation: 22-17=5, Resulting Numbers: [75, 5, 5]
Generated Node #0,1: 74:[75, 5, 5] Operation: 22-17=5
Exploring Operation: 17+22=39, Resulting Numbers: [75, 5, 39]
Generated Node #0,2: 74:[75, 5, 39] Operation: 17+22=39
Moving to Node #0,2
Current State: 74:[75, 5, 39], Operations: ['17+22=39']
Exploring Operation: 75-5=70, Resulting Numbers: [39, 70]
Generated Node #0,2,0: 74:[39, 70] Operation: 75-5=70
Exploring Operation: 39-5=34, Resulting Numbers: [75, 34]
Generated Node #0,2,1: 74:[75, 34] Operation: 39-5=34
Exploring Operation: 75-39=36, Resulting Numbers: [5, 36]
Generated Node #0,2,2: 74:[5, 36] Operation: 75-39=36
Moving to Node #0,1
Current State: 74:[75, 5, 5], Operations: ['22-17=5']
Exploring Operation: 5-5=0, Resulting Numbers: [75, 0]
Generated Node #0,1,0: 74:[75, 0] Operation: 5-5=0
Exploring Operation: 5/5=1, Resulting Numbers: [75, 1]
Generated Node #0,1,1: 74:[75, 1] Operation: 5/5=1
Exploring Operation: 75-5=70, Resulting Numbers: [5, 70]
Generated Node #0,1,2: 74:[5, 70] Operation: 75-5=70
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[75, 1], Operations: ['22-17=5', '5/5=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[17, 75, 5, 22], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [75, 5, 5]
Generated Node #0,1: 74:[75, 5, 5] Operation: 22-17=5
Moving to Node #0,1
Current State: 74:[75, 5, 5], Operations: ['22-17=5']
Exploring Operation: 5/5=1, Resulting Numbers: [75, 1]
Generated Node #0,1,1: 74:[75, 1] Operation: 5/5=1
Moving to Node #0,1,1
Current State: 74:[75, 1], Operations: ['22-17=5', '5/5=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
70,
4,
12,
37
] | 81 | [
"70-37=33",
"4*12=48",
"33+48=81"
] | Current State: 81:[70, 4, 12, 37], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [4, 12, 33]
Generated Node #2: [4, 12, 33] from Operation: 70-37=33
Current State: 81:[4, 12, 33], Operations: ['70-37=33']
Exploring Operation: 4*12=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 4*12=48
Current State: 81:[33, 48], Operations: ['70-37=33', '4*12=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[70, 4, 12, 37], Operations: []
Exploring Operation: 70+12=82, Resulting Numbers: [4, 37, 82]
Generated Node #0,0: 81:[4, 37, 82] Operation: 70+12=82
Exploring Operation: 70-37=33, Resulting Numbers: [4, 12, 33]
Generated Node #0,1: 81:[4, 12, 33] Operation: 70-37=33
Moving to Node #0,1
Current State: 81:[4, 12, 33], Operations: ['70-37=33']
Exploring Operation: 33-4=29, Resulting Numbers: [12, 29]
Generated Node #0,1,0: 81:[12, 29] Operation: 33-4=29
Exploring Operation: 12/4=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 81:[33, 3] Operation: 12/4=3
Moving to Node #0,0
Current State: 81:[4, 37, 82], Operations: ['70+12=82']
Exploring Operation: 37-4=33, Resulting Numbers: [82, 33]
Generated Node #0,0,0: 81:[82, 33] Operation: 37-4=33
Exploring Operation: 82-4=78, Resulting Numbers: [37, 78]
Generated Node #0,0,1: 81:[37, 78] Operation: 82-4=78
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[82, 33], Operations: ['70+12=82', '37-4=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Exploring Operation: 82+33=115, Resulting Numbers: [115]
115,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[37, 78], Operations: ['70+12=82', '82-4=78']
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,81 unequal: No Solution
Exploring Operation: 37+78=115, Resulting Numbers: [115]
115,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 81:[12, 29], Operations: ['70-37=33', '33-4=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,81 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[33, 3], Operations: ['70-37=33', '12/4=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
37,
74,
77,
39
] | 80 | [
"39-37=2",
"77*2=154",
"154-74=80"
] | Current State: 80:[37, 74, 77, 39], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [74, 77, 2]
Generated Node #2: [74, 77, 2] from Operation: 39-37=2
Current State: 80:[74, 77, 2], Operations: ['39-37=2']
Exploring Operation: 77*2=154, Resulting Numbers: [74, 154]
Generated Node #3: [74, 154] from Operation: 77*2=154
Current State: 80:[74, 154], Operations: ['39-37=2', '77*2=154']
Exploring Operation: 154-74=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[37, 74, 77, 39], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [77, 39, 2]
Generated Node #0,0: 80:[77, 39, 2] Operation: 74/37=2
Exploring Operation: 77-74=3, Resulting Numbers: [37, 39, 3]
Generated Node #0,1: 80:[37, 39, 3] Operation: 77-74=3
Exploring Operation: 74-37=37, Resulting Numbers: [77, 39, 37]
Generated Node #0,2: 80:[77, 39, 37] Operation: 74-37=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[77, 39, 2], Operations: ['74/37=2']
Exploring Operation: 77-39=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 80:[2, 38] Operation: 77-39=38
Exploring Operation: 77+2=79, Resulting Numbers: [39, 79]
Generated Node #0,0,1: 80:[39, 79] Operation: 77+2=79
Exploring Operation: 39+2=41, Resulting Numbers: [77, 41]
Generated Node #0,0,2: 80:[77, 41] Operation: 39+2=41
Moving to Node #0,0,0
Current State: 80:[2, 38], Operations: ['74/37=2', '77-39=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[39, 79], Operations: ['74/37=2', '77+2=79']
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,80 unequal: No Solution
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[77, 41], Operations: ['74/37=2', '39+2=41']
Exploring Operation: 77+41=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 77*41=3157, Resulting Numbers: [3157]
3157,80 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:[37, 39, 3], Operations: ['77-74=3']
Exploring Operation: 37+39=76, Resulting Numbers: [3, 76]
Generated Node #0,1,0: 80:[3, 76] Operation: 37+39=76
Exploring Operation: 37+3=40, Resulting Numbers: [39, 40]
Generated Node #0,1,1: 80:[39, 40] Operation: 37+3=40
Exploring Operation: 39-37=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 80:[3, 2] Operation: 39-37=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[39, 40], Operations: ['77-74=3', '37+3=40']
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,80 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 80:[3, 2], Operations: ['77-74=3', '39-37=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[3, 76], Operations: ['77-74=3', '37+39=76']
Exploring Operation: 3*76=228, Resulting Numbers: [228]
228,80 unequal: No Solution
Exploring Operation: 3+76=79, Resulting Numbers: [79]
79,80 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,80 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:[77, 39, 37], Operations: ['74-37=37']
Exploring Operation: 39-37=2, Resulting Numbers: [77, 2]
Generated Node #0,2,0: 80:[77, 2] Operation: 39-37=2
Exploring Operation: 77-39=38, Resulting Numbers: [37, 38]
Generated Node #0,2,1: 80:[37, 38] Operation: 77-39=38
Exploring Operation: 77-37=40, Resulting Numbers: [39, 40]
Generated Node #0,2,2: 80:[39, 40] Operation: 77-37=40
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[39, 40], Operations: ['74-37=37', '77-37=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,80 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,80 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 #0,2,0
Current State: 80:[77, 2], Operations: ['74-37=37', '39-37=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,80 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,80 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:[37, 38], Operations: ['74-37=37', '77-39=38']
Exploring Operation: 37*38=1406, Resulting Numbers: [1406]
1406,80 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 37+38=75, Resulting Numbers: [75]
75,80 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
No solution found.
| 0 | hs_3 | sum_heuristic |
[
68,
90,
71,
6
] | 10 | [
"71-68=3",
"6+3=9",
"90/9=10"
] | Current State: 10:[68, 90, 71, 6], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [90, 6, 3]
Generated Node #2: [90, 6, 3] from Operation: 71-68=3
Current State: 10:[90, 6, 3], Operations: ['71-68=3']
Exploring Operation: 6+3=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 6+3=9
Current State: 10:[90, 9], Operations: ['71-68=3', '6+3=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[68, 90, 71, 6], Operations: []
Exploring Operation: 90-71=19, Resulting Numbers: [68, 6, 19]
Generated Node #0,0: 10:[68, 6, 19] Operation: 90-71=19
Exploring Operation: 90/6=15, Resulting Numbers: [68, 71, 15]
Generated Node #0,1: 10:[68, 71, 15] Operation: 90/6=15
Exploring Operation: 71-68=3, Resulting Numbers: [90, 6, 3]
Generated Node #0,2: 10:[90, 6, 3] Operation: 71-68=3
Exploring Operation: 90-68=22, Resulting Numbers: [71, 6, 22]
Generated Node #0,3: 10:[71, 6, 22] Operation: 90-68=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[68, 6, 19], Operations: ['90-71=19']
Exploring Operation: 68-19=49, Resulting Numbers: [6, 49]
Generated Node #0,0,0: 10:[6, 49] Operation: 68-19=49
Exploring Operation: 19-6=13, Resulting Numbers: [68, 13]
Generated Node #0,0,1: 10:[68, 13] Operation: 19-6=13
Exploring Operation: 68+6=74, Resulting Numbers: [19, 74]
Generated Node #0,0,2: 10:[19, 74] Operation: 68+6=74
Exploring Operation: 68-6=62, Resulting Numbers: [19, 62]
Generated Node #0,0,3: 10:[19, 62] Operation: 68-6=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[6, 49], Operations: ['90-71=19', '68-19=49']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,10 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,10 unequal: No Solution
No 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: 10:[68, 13], Operations: ['90-71=19', '19-6=13']
Exploring Operation: 68*13=884, Resulting Numbers: [884]
884,10 unequal: No Solution
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,10 unequal: No Solution
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,10 unequal: No Solution
No 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: 10:[19, 62], Operations: ['90-71=19', '68-6=62']
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,10 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,10 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,10 unequal: No Solution
No 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: 10:[19, 74], Operations: ['90-71=19', '68+6=74']
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 19+74=93, Resulting Numbers: [93]
93,10 unequal: No Solution
Exploring Operation: 19*74=1406, Resulting Numbers: [1406]
1406,10 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: 10:[71, 6, 22], Operations: ['90-68=22']
Exploring Operation: 71-22=49, Resulting Numbers: [6, 49]
Generated Node #0,3,0: 10:[6, 49] Operation: 71-22=49
Exploring Operation: 71-6=65, Resulting Numbers: [22, 65]
Generated Node #0,3,1: 10:[22, 65] Operation: 71-6=65
Exploring Operation: 22-6=16, Resulting Numbers: [71, 16]
Generated Node #0,3,2: 10:[71, 16] Operation: 22-6=16
Exploring Operation: 71+6=77, Resulting Numbers: [22, 77]
Generated Node #0,3,3: 10:[22, 77] Operation: 71+6=77
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 10:[6, 49], Operations: ['90-68=22', '71-22=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,10 unequal: No Solution
No 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: 10:[22, 65], Operations: ['90-68=22', '71-6=65']
Exploring Operation: 22+65=87, Resulting Numbers: [87]
87,10 unequal: No Solution
Exploring Operation: 22*65=1430, Resulting Numbers: [1430]
1430,10 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,10 unequal: No Solution
No 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: 10:[71, 16], Operations: ['90-68=22', '22-6=16']
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,10 unequal: No Solution
Exploring Operation: 71*16=1136, Resulting Numbers: [1136]
1136,10 unequal: No Solution
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,10 unequal: No Solution
No 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: 10:[22, 77], Operations: ['90-68=22', '71+6=77']
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,10 unequal: No Solution
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,10 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: 10:[90, 6, 3], Operations: ['71-68=3']
Exploring Operation: 90-3=87, Resulting Numbers: [6, 87]
Generated Node #0,2,0: 10:[6, 87] Operation: 90-3=87
Exploring Operation: 90/3=30, Resulting Numbers: [6, 30]
Generated Node #0,2,1: 10:[6, 30] Operation: 90/3=30
Exploring Operation: 90/6=15, Resulting Numbers: [3, 15]
Generated Node #0,2,2: 10:[3, 15] Operation: 90/6=15
Exploring Operation: 90-6=84, Resulting Numbers: [3, 84]
Generated Node #0,2,3: 10:[3, 84] Operation: 90-6=84
Moving to Node #0,2,2
Current State: 10:[3, 15], Operations: ['71-68=3', '90/6=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[6, 30], Operations: ['71-68=3', '90/3=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[3, 84], Operations: ['71-68=3', '90-6=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,10 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,10 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[6, 87], Operations: ['71-68=3', '90-3=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,10 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,10 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[68, 71, 15], Operations: ['90/6=15']
Exploring Operation: 71-68=3, Resulting Numbers: [15, 3]
Generated Node #0,1,0: 10:[15, 3] Operation: 71-68=3
Exploring Operation: 71-15=56, Resulting Numbers: [68, 56]
Generated Node #0,1,1: 10:[68, 56] Operation: 71-15=56
Exploring Operation: 68-15=53, Resulting Numbers: [71, 53]
Generated Node #0,1,2: 10:[71, 53] Operation: 68-15=53
Exploring Operation: 68+71=139, Resulting Numbers: [15, 139]
Generated Node #0,1,3: 10:[15, 139] Operation: 68+71=139
Moving to Node #0,1,0
Current State: 10:[15, 3], Operations: ['90/6=15', '71-68=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[71, 53], Operations: ['90/6=15', '68-15=53']
Exploring Operation: 71*53=3763, Resulting Numbers: [3763]
3763,10 unequal: No Solution
Exploring Operation: 71+53=124, Resulting Numbers: [124]
124,10 unequal: No Solution
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[68, 56], Operations: ['90/6=15', '71-15=56']
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,10 unequal: No Solution
Exploring Operation: 68*56=3808, Resulting Numbers: [3808]
3808,10 unequal: No Solution
Moving to Node #0,1,3
Current State: 10:[15, 139], Operations: ['90/6=15', '68+71=139']
Exploring Operation: 15+139=154, Resulting Numbers: [154]
154,10 unequal: No Solution
Exploring Operation: 139-15=124, Resulting Numbers: [124]
124,10 unequal: No Solution
Exploring Operation: 15*139=2085, Resulting Numbers: [2085]
2085,10 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 |
[
21,
34,
26,
3
] | 15 | [
"21/3=7",
"34-26=8",
"7+8=15"
] | Current State: 15:[21, 34, 26, 3], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [34, 26, 7]
Generated Node #2: [34, 26, 7] from Operation: 21/3=7
Current State: 15:[34, 26, 7], Operations: ['21/3=7']
Exploring Operation: 34-26=8, Resulting Numbers: [7, 8]
Generated Node #3: [7, 8] from Operation: 34-26=8
Current State: 15:[7, 8], Operations: ['21/3=7', '34-26=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[21, 34, 26, 3], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [21, 3, 8]
Generated Node #0,0: 15:[21, 3, 8] Operation: 34-26=8
Moving to Node #0,0
Current State: 15:[21, 3, 8], Operations: ['34-26=8']
Exploring Operation: 21-8=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 15:[3, 13] Operation: 21-8=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[3, 13], Operations: ['34-26=8', '21-8=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,15 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 |
[
3,
35,
48,
69
] | 74 | [
"48+69=117",
"117/3=39",
"35+39=74"
] | Current State: 74:[3, 35, 48, 69], Operations: []
Exploring Operation: 48+69=117, Resulting Numbers: [3, 35, 117]
Generated Node #2: [3, 35, 117] from Operation: 48+69=117
Current State: 74:[3, 35, 117], Operations: ['48+69=117']
Exploring Operation: 117/3=39, Resulting Numbers: [35, 39]
Generated Node #3: [35, 39] from Operation: 117/3=39
Current State: 74:[35, 39], Operations: ['48+69=117', '117/3=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[3, 35, 48, 69], Operations: []
Exploring Operation: 35+48=83, Resulting Numbers: [3, 69, 83]
Generated Node #0,0: 74:[3, 69, 83] Operation: 35+48=83
Exploring Operation: 3+69=72, Resulting Numbers: [35, 48, 72]
Generated Node #0,1: 74:[35, 48, 72] Operation: 3+69=72
Exploring Operation: 48-3=45, Resulting Numbers: [35, 69, 45]
Generated Node #0,2: 74:[35, 69, 45] Operation: 48-3=45
Moving to Node #0,0
Current State: 74:[3, 69, 83], Operations: ['35+48=83']
Exploring Operation: 3+69=72, Resulting Numbers: [83, 72]
Generated Node #0,0,0: 74:[83, 72] Operation: 3+69=72
Exploring Operation: 83-3=80, Resulting Numbers: [69, 80]
Generated Node #0,0,1: 74:[69, 80] Operation: 83-3=80
Exploring Operation: 83-69=14, Resulting Numbers: [3, 14]
Generated Node #0,0,2: 74:[3, 14] Operation: 83-69=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[83, 72], Operations: ['35+48=83', '3+69=72']
Exploring Operation: 83+72=155, Resulting Numbers: [155]
155,74 unequal: No Solution
Exploring Operation: 83*72=5976, Resulting Numbers: [5976]
5976,74 unequal: No Solution
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[69, 80], Operations: ['35+48=83', '83-3=80']
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,74 unequal: No Solution
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,74 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[3, 14], Operations: ['35+48=83', '83-69=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,74 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 74:[35, 48, 72], Operations: ['3+69=72']
Exploring Operation: 48-35=13, Resulting Numbers: [72, 13]
Generated Node #0,1,0: 74:[72, 13] Operation: 48-35=13
Exploring Operation: 35+48=83, Resulting Numbers: [72, 83]
Generated Node #0,1,1: 74:[72, 83] Operation: 35+48=83
Exploring Operation: 72-35=37, Resulting Numbers: [48, 37]
Generated Node #0,1,2: 74:[48, 37] Operation: 72-35=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[72, 83], Operations: ['3+69=72', '35+48=83']
Exploring Operation: 72*83=5976, Resulting Numbers: [5976]
5976,74 unequal: No Solution
Exploring Operation: 72+83=155, Resulting Numbers: [155]
155,74 unequal: No Solution
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[48, 37], Operations: ['3+69=72', '72-35=37']
Exploring Operation: 48*37=1776, Resulting Numbers: [1776]
1776,74 unequal: No Solution
Exploring Operation: 48+37=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[72, 13], Operations: ['3+69=72', '48-35=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,74 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,74 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: 74:[35, 69, 45], Operations: ['48-3=45']
Exploring Operation: 69-35=34, Resulting Numbers: [45, 34]
Generated Node #0,2,0: 74:[45, 34] Operation: 69-35=34
Exploring Operation: 45-35=10, Resulting Numbers: [69, 10]
Generated Node #0,2,1: 74:[69, 10] Operation: 45-35=10
Exploring Operation: 35+45=80, Resulting Numbers: [69, 80]
Generated Node #0,2,2: 74:[69, 80] Operation: 35+45=80
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 74:[45, 34], Operations: ['48-3=45', '69-35=34']
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,74 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[69, 80], Operations: ['48-3=45', '35+45=80']
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,74 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 74:[69, 10], Operations: ['48-3=45', '45-35=10']
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,74 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,74 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 |
[
56,
2,
38,
53
] | 82 | [
"56+38=94",
"94-53=41",
"2*41=82"
] | Current State: 82:[56, 2, 38, 53], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [2, 53, 94]
Generated Node #2: [2, 53, 94] from Operation: 56+38=94
Current State: 82:[2, 53, 94], Operations: ['56+38=94']
Exploring Operation: 94-53=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 94-53=41
Current State: 82:[2, 41], Operations: ['56+38=94', '94-53=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[56, 2, 38, 53], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [2, 38, 3]
Generated Node #0,0: 82:[2, 38, 3] Operation: 56-53=3
Exploring Operation: 56+38=94, Resulting Numbers: [2, 53, 94]
Generated Node #0,1: 82:[2, 53, 94] Operation: 56+38=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[2, 38, 3], Operations: ['56-53=3']
Exploring Operation: 2+38=40, Resulting Numbers: [3, 40]
Generated Node #0,0,0: 82:[3, 40] Operation: 2+38=40
Exploring Operation: 38+3=41, Resulting Numbers: [2, 41]
Generated Node #0,0,1: 82:[2, 41] Operation: 38+3=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[2, 41], Operations: ['56-53=3', '38+3=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[56, 2, 38, 53], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [2, 38, 3]
Generated Node #0,0: 82:[2, 38, 3] Operation: 56-53=3
Moving to Node #0,0
Current State: 82:[2, 38, 3], Operations: ['56-53=3']
Exploring Operation: 38+3=41, Resulting Numbers: [2, 41]
Generated Node #0,0,1: 82:[2, 41] Operation: 38+3=41
Moving to Node #0,0,1
Current State: 82:[2, 41], Operations: ['56-53=3', '38+3=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
59,
70,
12,
74
] | 74 | [
"70-59=11",
"12-11=1",
"74*1=74"
] | Current State: 74:[59, 70, 12, 74], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [12, 74, 11]
Generated Node #2: [12, 74, 11] from Operation: 70-59=11
Current State: 74:[12, 74, 11], Operations: ['70-59=11']
Exploring Operation: 12-11=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 12-11=1
Current State: 74:[74, 1], Operations: ['70-59=11', '12-11=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[59, 70, 12, 74], Operations: []
Exploring Operation: 59+12=71, Resulting Numbers: [70, 74, 71]
Generated Node #0,0: 74:[70, 74, 71] Operation: 59+12=71
Exploring Operation: 70-59=11, Resulting Numbers: [12, 74, 11]
Generated Node #0,1: 74:[12, 74, 11] Operation: 70-59=11
Exploring Operation: 70+12=82, Resulting Numbers: [59, 74, 82]
Generated Node #0,2: 74:[59, 74, 82] Operation: 70+12=82
Exploring Operation: 59-12=47, Resulting Numbers: [70, 74, 47]
Generated Node #0,3: 74:[70, 74, 47] Operation: 59-12=47
Moving to Node #0,0
Current State: 74:[70, 74, 71], Operations: ['59+12=71']
Exploring Operation: 71-70=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 74:[74, 1] Operation: 71-70=1
Exploring Operation: 70+71=141, Resulting Numbers: [74, 141]
Generated Node #0,0,1: 74:[74, 141] Operation: 70+71=141
Exploring Operation: 74-70=4, Resulting Numbers: [71, 4]
Generated Node #0,0,2: 74:[71, 4] Operation: 74-70=4
Exploring Operation: 74-71=3, Resulting Numbers: [70, 3]
Generated Node #0,0,3: 74:[70, 3] Operation: 74-71=3
Moving to Node #0,3
Current State: 74:[70, 74, 47], Operations: ['59-12=47']
Exploring Operation: 74-47=27, Resulting Numbers: [70, 27]
Generated Node #0,3,0: 74:[70, 27] Operation: 74-47=27
Exploring Operation: 74-70=4, Resulting Numbers: [47, 4]
Generated Node #0,3,1: 74:[47, 4] Operation: 74-70=4
Exploring Operation: 70-47=23, Resulting Numbers: [74, 23]
Generated Node #0,3,2: 74:[74, 23] Operation: 70-47=23
Exploring Operation: 70+47=117, Resulting Numbers: [74, 117]
Generated Node #0,3,3: 74:[74, 117] Operation: 70+47=117
Moving to Node #0,1
Current State: 74:[12, 74, 11], Operations: ['70-59=11']
Exploring Operation: 12-11=1, Resulting Numbers: [74, 1]
Generated Node #0,1,0: 74:[74, 1] Operation: 12-11=1
Exploring Operation: 12+74=86, Resulting Numbers: [11, 86]
Generated Node #0,1,1: 74:[11, 86] Operation: 12+74=86
Exploring Operation: 74-12=62, Resulting Numbers: [11, 62]
Generated Node #0,1,2: 74:[11, 62] Operation: 74-12=62
Exploring Operation: 12+11=23, Resulting Numbers: [74, 23]
Generated Node #0,1,3: 74:[74, 23] Operation: 12+11=23
Moving to Node #0,2
Current State: 74:[59, 74, 82], Operations: ['70+12=82']
Exploring Operation: 74-59=15, Resulting Numbers: [82, 15]
Generated Node #0,2,0: 74:[82, 15] Operation: 74-59=15
Exploring Operation: 82-59=23, Resulting Numbers: [74, 23]
Generated Node #0,2,1: 74:[74, 23] Operation: 82-59=23
Exploring Operation: 59+74=133, Resulting Numbers: [82, 133]
Generated Node #0,2,2: 74:[82, 133] Operation: 59+74=133
Exploring Operation: 82-74=8, Resulting Numbers: [59, 8]
Generated Node #0,2,3: 74:[59, 8] Operation: 82-74=8
Moving to Node #0,0,0
Current State: 74:[74, 1], Operations: ['59+12=71', '71-70=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[59, 70, 12, 74], Operations: []
Exploring Operation: 59+12=71, Resulting Numbers: [70, 74, 71]
Generated Node #0,0: 74:[70, 74, 71] Operation: 59+12=71
Moving to Node #0,0
Current State: 74:[70, 74, 71], Operations: ['59+12=71']
Exploring Operation: 71-70=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 74:[74, 1] Operation: 71-70=1
Moving to Node #0,0,0
Current State: 74:[74, 1], Operations: ['59+12=71', '71-70=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.978299 | hs_4 | sum_heuristic |
[
96,
3,
36,
44
] | 32 | [
"96+44=140",
"3*36=108",
"140-108=32"
] | Current State: 32:[96, 3, 36, 44], Operations: []
Exploring Operation: 96+44=140, Resulting Numbers: [3, 36, 140]
Generated Node #2: [3, 36, 140] from Operation: 96+44=140
Current State: 32:[3, 36, 140], Operations: ['96+44=140']
Exploring Operation: 3*36=108, Resulting Numbers: [140, 108]
Generated Node #3: [140, 108] from Operation: 3*36=108
Current State: 32:[140, 108], Operations: ['96+44=140', '3*36=108']
Exploring Operation: 140-108=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[96, 3, 36, 44], Operations: []
Exploring Operation: 96/3=32, Resulting Numbers: [36, 44, 32]
Generated Node #0,0: 32:[36, 44, 32] Operation: 96/3=32
Exploring Operation: 96-44=52, Resulting Numbers: [3, 36, 52]
Generated Node #0,1: 32:[3, 36, 52] Operation: 96-44=52
Moving to Node #0,0
Current State: 32:[36, 44, 32], Operations: ['96/3=32']
Exploring Operation: 44-32=12, Resulting Numbers: [36, 12]
Generated Node #0,0,0: 32:[36, 12] Operation: 44-32=12
Exploring Operation: 44-36=8, Resulting Numbers: [32, 8]
Generated Node #0,0,1: 32:[32, 8] Operation: 44-36=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[32, 8], Operations: ['96/3=32', '44-36=8']
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[36, 12], Operations: ['96/3=32', '44-32=12']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 32:[3, 36, 52], Operations: ['96-44=52']
Exploring Operation: 36-3=33, Resulting Numbers: [52, 33]
Generated Node #0,1,0: 32:[52, 33] Operation: 36-3=33
Exploring Operation: 52-36=16, Resulting Numbers: [3, 16]
Generated Node #0,1,1: 32:[3, 16] Operation: 52-36=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[3, 16], Operations: ['96-44=52', '52-36=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,32 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[52, 33], Operations: ['96-44=52', '36-3=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,32 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,32 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 |
[
88,
16,
30,
7
] | 49 | [
"88-16=72",
"30-7=23",
"72-23=49"
] | Current State: 49:[88, 16, 30, 7], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [30, 7, 72]
Generated Node #2: [30, 7, 72] from Operation: 88-16=72
Current State: 49:[30, 7, 72], Operations: ['88-16=72']
Exploring Operation: 30-7=23, Resulting Numbers: [72, 23]
Generated Node #3: [72, 23] from Operation: 30-7=23
Current State: 49:[72, 23], Operations: ['88-16=72', '30-7=23']
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[88, 16, 30, 7], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [16, 7, 58]
Generated Node #0,0: 49:[16, 7, 58] Operation: 88-30=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[16, 7, 58], Operations: ['88-30=58']
Exploring Operation: 58-16=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 49:[7, 42] Operation: 58-16=42
Moving to Node #0,0,0
Current State: 49:[7, 42], Operations: ['88-30=58', '58-16=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[88, 16, 30, 7], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [16, 7, 58]
Generated Node #0,0: 49:[16, 7, 58] Operation: 88-30=58
Moving to Node #0,0
Current State: 49:[16, 7, 58], Operations: ['88-30=58']
Exploring Operation: 58-16=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 49:[7, 42] Operation: 58-16=42
Moving to Node #0,0,0
Current State: 49:[7, 42], Operations: ['88-30=58', '58-16=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
6,
16,
12,
30
] | 82 | [
"16*30=480",
"12+480=492",
"492/6=82"
] | Current State: 82:[6, 16, 12, 30], Operations: []
Exploring Operation: 16*30=480, Resulting Numbers: [6, 12, 480]
Generated Node #2: [6, 12, 480] from Operation: 16*30=480
Current State: 82:[6, 12, 480], Operations: ['16*30=480']
Exploring Operation: 12+480=492, Resulting Numbers: [6, 492]
Generated Node #3: [6, 492] from Operation: 12+480=492
Current State: 82:[6, 492], Operations: ['16*30=480', '12+480=492']
Exploring Operation: 492/6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[6, 16, 12, 30], Operations: []
Exploring Operation: 16+30=46, Resulting Numbers: [6, 12, 46]
Generated Node #0,0: 82:[6, 12, 46] Operation: 16+30=46
Exploring Operation: 12+30=42, Resulting Numbers: [6, 16, 42]
Generated Node #0,1: 82:[6, 16, 42] Operation: 12+30=42
Exploring Operation: 12/6=2, Resulting Numbers: [16, 30, 2]
Generated Node #0,2: 82:[16, 30, 2] Operation: 12/6=2
Exploring Operation: 16-12=4, Resulting Numbers: [6, 30, 4]
Generated Node #0,3: 82:[6, 30, 4] Operation: 16-12=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[6, 30, 4], Operations: ['16-12=4']
Exploring Operation: 6+30=36, Resulting Numbers: [4, 36]
Generated Node #0,3,0: 82:[4, 36] Operation: 6+30=36
Exploring Operation: 30+4=34, Resulting Numbers: [6, 34]
Generated Node #0,3,1: 82:[6, 34] Operation: 30+4=34
Exploring Operation: 30/6=5, Resulting Numbers: [4, 5]
Generated Node #0,3,2: 82:[4, 5] Operation: 30/6=5
Exploring Operation: 6-4=2, Resulting Numbers: [30, 2]
Generated Node #0,3,3: 82:[30, 2] Operation: 6-4=2
Moving to Node #0,3,2
Current State: 82:[4, 5], Operations: ['16-12=4', '30/6=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[4, 36], Operations: ['16-12=4', '6+30=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[30, 2], Operations: ['16-12=4', '6-4=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,82 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[6, 34], Operations: ['16-12=4', '30+4=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,82 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:[6, 12, 46], Operations: ['16+30=46']
Exploring Operation: 46-6=40, Resulting Numbers: [12, 40]
Generated Node #0,0,0: 82:[12, 40] Operation: 46-6=40
Exploring Operation: 12/6=2, Resulting Numbers: [46, 2]
Generated Node #0,0,1: 82:[46, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [46, 6]
Generated Node #0,0,2: 82:[46, 6] Operation: 12-6=6
Exploring Operation: 46-12=34, Resulting Numbers: [6, 34]
Generated Node #0,0,3: 82:[6, 34] Operation: 46-12=34
Moving to Node #0,0,1
Current State: 82:[46, 2], Operations: ['16+30=46', '12/6=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[46, 6], Operations: ['16+30=46', '12-6=6']
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,82 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[6, 34], Operations: ['16+30=46', '46-12=34']
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,82 unequal: No Solution
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[12, 40], Operations: ['16+30=46', '46-6=40']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,82 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:[6, 16, 42], Operations: ['12+30=42']
Exploring Operation: 6*16=96, Resulting Numbers: [42, 96]
Generated Node #0,1,0: 82:[42, 96] Operation: 6*16=96
Exploring Operation: 42-6=36, Resulting Numbers: [16, 36]
Generated Node #0,1,1: 82:[16, 36] Operation: 42-6=36
Exploring Operation: 42/6=7, Resulting Numbers: [16, 7]
Generated Node #0,1,2: 82:[16, 7] Operation: 42/6=7
Exploring Operation: 16-6=10, Resulting Numbers: [42, 10]
Generated Node #0,1,3: 82:[42, 10] Operation: 16-6=10
Moving to Node #0,1,3
Current State: 82:[42, 10], Operations: ['12+30=42', '16-6=10']
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,82 unequal: No Solution
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[42, 96], Operations: ['12+30=42', '6*16=96']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 42+96=138, Resulting Numbers: [138]
138,82 unequal: No Solution
Exploring Operation: 42*96=4032, Resulting Numbers: [4032]
4032,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[16, 7], Operations: ['12+30=42', '42/6=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[16, 36], Operations: ['12+30=42', '42-6=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,82 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[16, 30, 2], Operations: ['12/6=2']
Exploring Operation: 16*2=32, Resulting Numbers: [30, 32]
Generated Node #0,2,0: 82:[30, 32] Operation: 16*2=32
Exploring Operation: 16+30=46, Resulting Numbers: [2, 46]
Generated Node #0,2,1: 82:[2, 46] Operation: 16+30=46
Exploring Operation: 16/2=8, Resulting Numbers: [30, 8]
Generated Node #0,2,2: 82:[30, 8] Operation: 16/2=8
Exploring Operation: 30-16=14, Resulting Numbers: [2, 14]
Generated Node #0,2,3: 82:[2, 14] Operation: 30-16=14
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[2, 46], Operations: ['12/6=2', '16+30=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 82:[2, 14], Operations: ['12/6=2', '30-16=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[30, 8], Operations: ['12/6=2', '16/2=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[30, 32], Operations: ['12/6=2', '16*2=32']
Exploring Operation: 30*32=960, Resulting Numbers: [960]
960,82 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,82 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_4 | sum_heuristic |
[
9,
69,
85,
86
] | 93 | [
"9+69=78",
"85+86=171",
"171-78=93"
] | Current State: 93:[9, 69, 85, 86], Operations: []
Exploring Operation: 9+69=78, Resulting Numbers: [85, 86, 78]
Generated Node #2: [85, 86, 78] from Operation: 9+69=78
Current State: 93:[85, 86, 78], Operations: ['9+69=78']
Exploring Operation: 85+86=171, Resulting Numbers: [78, 171]
Generated Node #3: [78, 171] from Operation: 85+86=171
Current State: 93:[78, 171], Operations: ['9+69=78', '85+86=171']
Exploring Operation: 171-78=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[9, 69, 85, 86], Operations: []
Exploring Operation: 85-69=16, Resulting Numbers: [9, 86, 16]
Generated Node #0,0: 93:[9, 86, 16] Operation: 85-69=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[9, 86, 16], Operations: ['85-69=16']
Exploring Operation: 16-9=7, Resulting Numbers: [86, 7]
Generated Node #0,0,0: 93:[86, 7] Operation: 16-9=7
Moving to Node #0,0,0
Current State: 93:[86, 7], Operations: ['85-69=16', '16-9=7']
Exploring Operation: 86+7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[9, 69, 85, 86], Operations: []
Exploring Operation: 85-69=16, Resulting Numbers: [9, 86, 16]
Generated Node #0,0: 93:[9, 86, 16] Operation: 85-69=16
Moving to Node #0,0
Current State: 93:[9, 86, 16], Operations: ['85-69=16']
Exploring Operation: 16-9=7, Resulting Numbers: [86, 7]
Generated Node #0,0,0: 93:[86, 7] Operation: 16-9=7
Moving to Node #0,0,0
Current State: 93:[86, 7], Operations: ['85-69=16', '16-9=7']
Exploring Operation: 86+7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
32,
17,
37,
78
] | 56 | [
"32-17=15",
"78-37=41",
"15+41=56"
] | Current State: 56:[32, 17, 37, 78], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [37, 78, 15]
Generated Node #2: [37, 78, 15] from Operation: 32-17=15
Current State: 56:[37, 78, 15], Operations: ['32-17=15']
Exploring Operation: 78-37=41, Resulting Numbers: [15, 41]
Generated Node #3: [15, 41] from Operation: 78-37=41
Current State: 56:[15, 41], Operations: ['32-17=15', '78-37=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[32, 17, 37, 78], Operations: []
Exploring Operation: 78-17=61, Resulting Numbers: [32, 37, 61]
Generated Node #0,0: 56:[32, 37, 61] Operation: 78-17=61
Exploring Operation: 37-32=5, Resulting Numbers: [17, 78, 5]
Generated Node #0,1: 56:[17, 78, 5] Operation: 37-32=5
Exploring Operation: 78-32=46, Resulting Numbers: [17, 37, 46]
Generated Node #0,2: 56:[17, 37, 46] Operation: 78-32=46
Exploring Operation: 78-37=41, Resulting Numbers: [32, 17, 41]
Generated Node #0,3: 56:[32, 17, 41] Operation: 78-37=41
Moving to Node #0,0
Current State: 56:[32, 37, 61], Operations: ['78-17=61']
Exploring Operation: 37-32=5, Resulting Numbers: [61, 5]
Generated Node #0,0,0: 56:[61, 5] Operation: 37-32=5
Exploring Operation: 61-37=24, Resulting Numbers: [32, 24]
Generated Node #0,0,1: 56:[32, 24] Operation: 61-37=24
Exploring Operation: 32+37=69, Resulting Numbers: [61, 69]
Generated Node #0,0,2: 56:[61, 69] Operation: 32+37=69
Exploring Operation: 61-32=29, Resulting Numbers: [37, 29]
Generated Node #0,0,3: 56:[37, 29] Operation: 61-32=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[61, 5], Operations: ['78-17=61', '37-32=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[32, 17, 37, 78], Operations: []
Exploring Operation: 78-17=61, Resulting Numbers: [32, 37, 61]
Generated Node #0,0: 56:[32, 37, 61] Operation: 78-17=61
Moving to Node #0,0
Current State: 56:[32, 37, 61], Operations: ['78-17=61']
Exploring Operation: 37-32=5, Resulting Numbers: [61, 5]
Generated Node #0,0,0: 56:[61, 5] Operation: 37-32=5
Moving to Node #0,0,0
Current State: 56:[61, 5], Operations: ['78-17=61', '37-32=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
87,
6,
49,
28
] | 39 | [
"49-28=21",
"6*21=126",
"126-87=39"
] | Current State: 39:[87, 6, 49, 28], Operations: []
Exploring Operation: 49-28=21, Resulting Numbers: [87, 6, 21]
Generated Node #2: [87, 6, 21] from Operation: 49-28=21
Current State: 39:[87, 6, 21], Operations: ['49-28=21']
Exploring Operation: 6*21=126, Resulting Numbers: [87, 126]
Generated Node #3: [87, 126] from Operation: 6*21=126
Current State: 39:[87, 126], Operations: ['49-28=21', '6*21=126']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[87, 6, 49, 28], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [6, 28, 38]
Generated Node #0,0: 39:[6, 28, 38] Operation: 87-49=38
Moving to Node #0,0
Current State: 39:[6, 28, 38], Operations: ['87-49=38']
Exploring Operation: 6+28=34, Resulting Numbers: [38, 34]
Generated Node #0,0,0: 39:[38, 34] Operation: 6+28=34
Moving to Node #0,0,0
Current State: 39:[38, 34], Operations: ['87-49=38', '6+28=34']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,39 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
4,
56,
10
] | 34 | [
"20*4=80",
"56-10=46",
"80-46=34"
] | Current State: 34:[20, 4, 56, 10], Operations: []
Exploring Operation: 20*4=80, Resulting Numbers: [56, 10, 80]
Generated Node #2: [56, 10, 80] from Operation: 20*4=80
Current State: 34:[56, 10, 80], Operations: ['20*4=80']
Exploring Operation: 56-10=46, Resulting Numbers: [80, 46]
Generated Node #3: [80, 46] from Operation: 56-10=46
Current State: 34:[80, 46], Operations: ['20*4=80', '56-10=46']
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[20, 4, 56, 10], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [4, 10, 36]
Generated Node #0,0: 34:[4, 10, 36] Operation: 56-20=36
Exploring Operation: 56-10=46, Resulting Numbers: [20, 4, 46]
Generated Node #0,1: 34:[20, 4, 46] Operation: 56-10=46
Exploring Operation: 20/10=2, Resulting Numbers: [4, 56, 2]
Generated Node #0,2: 34:[4, 56, 2] Operation: 20/10=2
Exploring Operation: 56/4=14, Resulting Numbers: [20, 10, 14]
Generated Node #0,3: 34:[20, 10, 14] Operation: 56/4=14
Moving to Node #0,0
Current State: 34:[4, 10, 36], Operations: ['56-20=36']
Exploring Operation: 4+10=14, Resulting Numbers: [36, 14]
Generated Node #0,0,0: 34:[36, 14] Operation: 4+10=14
Exploring Operation: 4*10=40, Resulting Numbers: [36, 40]
Generated Node #0,0,1: 34:[36, 40] Operation: 4*10=40
Exploring Operation: 36-4=32, Resulting Numbers: [10, 32]
Generated Node #0,0,2: 34:[10, 32] Operation: 36-4=32
Exploring Operation: 10-4=6, Resulting Numbers: [36, 6]
Generated Node #0,0,3: 34:[36, 6] Operation: 10-4=6
Moving to Node #0,3
Current State: 34:[20, 10, 14], Operations: ['56/4=14']
Exploring Operation: 20/10=2, Resulting Numbers: [14, 2]
Generated Node #0,3,0: 34:[14, 2] Operation: 20/10=2
Exploring Operation: 20+10=30, Resulting Numbers: [14, 30]
Generated Node #0,3,1: 34:[14, 30] Operation: 20+10=30
Exploring Operation: 20+14=34, Resulting Numbers: [10, 34]
Generated Node #0,3,2: 34:[10, 34] Operation: 20+14=34
Exploring Operation: 14-10=4, Resulting Numbers: [20, 4]
Generated Node #0,3,3: 34:[20, 4] Operation: 14-10=4
Moving to Node #0,1
Current State: 34:[20, 4, 46], Operations: ['56-10=46']
Exploring Operation: 20-4=16, Resulting Numbers: [46, 16]
Generated Node #0,1,0: 34:[46, 16] Operation: 20-4=16
Exploring Operation: 46-4=42, Resulting Numbers: [20, 42]
Generated Node #0,1,1: 34:[20, 42] Operation: 46-4=42
Exploring Operation: 46-20=26, Resulting Numbers: [4, 26]
Generated Node #0,1,2: 34:[4, 26] Operation: 46-20=26
Exploring Operation: 20/4=5, Resulting Numbers: [46, 5]
Generated Node #0,1,3: 34:[46, 5] Operation: 20/4=5
Moving to Node #0,2
Current State: 34:[4, 56, 2], Operations: ['20/10=2']
Exploring Operation: 56/4=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 34:[2, 14] Operation: 56/4=14
Exploring Operation: 4-2=2, Resulting Numbers: [56, 2]
Generated Node #0,2,1: 34:[56, 2] Operation: 4-2=2
Exploring Operation: 56/2=28, Resulting Numbers: [4, 28]
Generated Node #0,2,2: 34:[4, 28] Operation: 56/2=28
Exploring Operation: 56-4=52, Resulting Numbers: [2, 52]
Generated Node #0,2,3: 34:[2, 52] Operation: 56-4=52
Moving to Node #0,3,0
Current State: 34:[14, 2], Operations: ['56/4=14', '20/10=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[2, 14], Operations: ['20/10=2', '56/4=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Moving to Node #0,3,3
Current State: 34:[20, 4], Operations: ['56/4=14', '14-10=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[36, 14], Operations: ['56-20=36', '4+10=14']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,34 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[36, 6], Operations: ['56-20=36', '10-4=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,34 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Moving to Node #0,3,1
Current State: 34:[14, 30], Operations: ['56/4=14', '20+10=30']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,34 unequal: No Solution
Moving to Node #0,3,2
Current State: 34:[10, 34], Operations: ['56/4=14', '20+14=34']
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,34 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[4, 28], Operations: ['20/10=2', '56/2=28']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,34 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[36, 40], Operations: ['56-20=36', '4*10=40']
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,34 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[10, 32], Operations: ['56-20=36', '36-4=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[4, 26], Operations: ['56-10=46', '46-20=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[20, 42], Operations: ['56-10=46', '46-4=42']
Exploring Operation: 20*42=840, Resulting Numbers: [840]
840,34 unequal: No Solution
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,34 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[46, 16], Operations: ['56-10=46', '20-4=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,34 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[46, 5], Operations: ['56-10=46', '20/4=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,34 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[2, 52], Operations: ['20/10=2', '56-4=52']
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,34 unequal: No Solution
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,34 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[56, 2], Operations: ['20/10=2', '4-2=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,34 unequal: No Solution
Exploring Operation: 56*2=112, Resulting Numbers: [112]
112,34 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,34 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
10,
75,
5,
25
] | 73 | [
"10*5=50",
"50/25=2",
"75-2=73"
] | Current State: 73:[10, 75, 5, 25], Operations: []
Exploring Operation: 10*5=50, Resulting Numbers: [75, 25, 50]
Generated Node #2: [75, 25, 50] from Operation: 10*5=50
Current State: 73:[75, 25, 50], Operations: ['10*5=50']
Exploring Operation: 50/25=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 50/25=2
Current State: 73:[75, 2], Operations: ['10*5=50', '50/25=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[10, 75, 5, 25], Operations: []
Exploring Operation: 10*5=50, Resulting Numbers: [75, 25, 50]
Generated Node #0,0: 73:[75, 25, 50] Operation: 10*5=50
Exploring Operation: 10+25=35, Resulting Numbers: [75, 5, 35]
Generated Node #0,1: 73:[75, 5, 35] Operation: 10+25=35
Exploring Operation: 75-5=70, Resulting Numbers: [10, 25, 70]
Generated Node #0,2: 73:[10, 25, 70] Operation: 75-5=70
Exploring Operation: 10+5=15, Resulting Numbers: [75, 25, 15]
Generated Node #0,3: 73:[75, 25, 15] Operation: 10+5=15
Exploring Operation: 5+25=30, Resulting Numbers: [10, 75, 30]
Generated Node #0,4: 73:[10, 75, 30] Operation: 5+25=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[75, 25, 50], Operations: ['10*5=50']
Exploring Operation: 50-25=25, Resulting Numbers: [75, 25]
Generated Node #0,0,0: 73:[75, 25] Operation: 50-25=25
Exploring Operation: 50/25=2, Resulting Numbers: [75, 2]
Generated Node #0,0,1: 73:[75, 2] Operation: 50/25=2
Exploring Operation: 75+25=100, Resulting Numbers: [50, 100]
Generated Node #0,0,2: 73:[50, 100] Operation: 75+25=100
Exploring Operation: 75-25=50, Resulting Numbers: [50, 50]
Generated Node #0,0,3: 73:[50, 50] Operation: 75-25=50
Exploring Operation: 25+50=75, Resulting Numbers: [75, 75]
Generated Node #0,0,4: 73:[75, 75] Operation: 25+50=75
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 73:[75, 75], Operations: ['10*5=50', '25+50=75']
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 75*75=5625, Resulting Numbers: [5625]
5625,73 unequal: No Solution
Exploring Operation: 75-75=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 75+75=150, Resulting Numbers: [150]
150,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 73:[50, 50], Operations: ['10*5=50', '75-25=50']
Exploring Operation: 50-50=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 50/50=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 50*50=2500, Resulting Numbers: [2500]
2500,73 unequal: No Solution
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[75, 25], Operations: ['10*5=50', '50-25=25']
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 75*25=1875, Resulting Numbers: [1875]
1875,73 unequal: No Solution
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[50, 100], Operations: ['10*5=50', '75+25=100']
Exploring Operation: 100-50=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 50+100=150, Resulting Numbers: [150]
150,73 unequal: No Solution
Exploring Operation: 100/50=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 50*100=5000, Resulting Numbers: [5000]
5000,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[75, 2], Operations: ['10*5=50', '50/25=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[10, 75, 5, 25], Operations: []
Exploring Operation: 10*5=50, Resulting Numbers: [75, 25, 50]
Generated Node #0,0: 73:[75, 25, 50] Operation: 10*5=50
Moving to Node #0,0
Current State: 73:[75, 25, 50], Operations: ['10*5=50']
Exploring Operation: 50/25=2, Resulting Numbers: [75, 2]
Generated Node #0,0,1: 73:[75, 2] Operation: 50/25=2
Moving to Node #0,0,1
Current State: 73:[75, 2], Operations: ['10*5=50', '50/25=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_5 | sum_heuristic |
[
61,
49,
39,
84
] | 32 | [
"61-49=12",
"84/12=7",
"39-7=32"
] | Current State: 32:[61, 49, 39, 84], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [39, 84, 12]
Generated Node #2: [39, 84, 12] from Operation: 61-49=12
Current State: 32:[39, 84, 12], Operations: ['61-49=12']
Exploring Operation: 84/12=7, Resulting Numbers: [39, 7]
Generated Node #3: [39, 7] from Operation: 84/12=7
Current State: 32:[39, 7], Operations: ['61-49=12', '84/12=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[61, 49, 39, 84], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [49, 39, 23]
Generated Node #0,0: 32:[49, 39, 23] Operation: 84-61=23
Exploring Operation: 84-49=35, Resulting Numbers: [61, 39, 35]
Generated Node #0,1: 32:[61, 39, 35] Operation: 84-49=35
Exploring Operation: 84-39=45, Resulting Numbers: [61, 49, 45]
Generated Node #0,2: 32:[61, 49, 45] Operation: 84-39=45
Moving to Node #0,0
Current State: 32:[49, 39, 23], Operations: ['84-61=23']
Exploring Operation: 49-39=10, Resulting Numbers: [23, 10]
Generated Node #0,0,0: 32:[23, 10] Operation: 49-39=10
Exploring Operation: 49-23=26, Resulting Numbers: [39, 26]
Generated Node #0,0,1: 32:[39, 26] Operation: 49-23=26
Exploring Operation: 39-23=16, Resulting Numbers: [49, 16]
Generated Node #0,0,2: 32:[49, 16] Operation: 39-23=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[23, 10], Operations: ['84-61=23', '49-39=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,32 unequal: No Solution
Exploring Operation: 23*10=230, Resulting Numbers: [230]
230,32 unequal: No Solution
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[39, 26], Operations: ['84-61=23', '49-23=26']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,32 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,32 unequal: No Solution
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[49, 16], Operations: ['84-61=23', '39-23=16']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,32 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 32:[61, 39, 35], Operations: ['84-49=35']
Exploring Operation: 61-35=26, Resulting Numbers: [39, 26]
Generated Node #0,1,0: 32:[39, 26] Operation: 61-35=26
Exploring Operation: 61-39=22, Resulting Numbers: [35, 22]
Generated Node #0,1,1: 32:[35, 22] Operation: 61-39=22
Exploring Operation: 39-35=4, Resulting Numbers: [61, 4]
Generated Node #0,1,2: 32:[61, 4] Operation: 39-35=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[35, 22], Operations: ['84-49=35', '61-39=22']
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,32 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,32 unequal: No Solution
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[39, 26], Operations: ['84-49=35', '61-35=26']
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,32 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,32 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 32:[61, 4], Operations: ['84-49=35', '39-35=4']
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,32 unequal: No Solution
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,32 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 32:[61, 49, 45], Operations: ['84-39=45']
Exploring Operation: 49-45=4, Resulting Numbers: [61, 4]
Generated Node #0,2,0: 32:[61, 4] Operation: 49-45=4
Exploring Operation: 61-49=12, Resulting Numbers: [45, 12]
Generated Node #0,2,1: 32:[45, 12] Operation: 61-49=12
Exploring Operation: 61-45=16, Resulting Numbers: [49, 16]
Generated Node #0,2,2: 32:[49, 16] Operation: 61-45=16
Moving to Node #0,2,1
Current State: 32:[45, 12], Operations: ['84-39=45', '61-49=12']
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[49, 16], Operations: ['84-39=45', '61-45=16']
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,32 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,32 unequal: No Solution
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[61, 4], Operations: ['84-39=45', '49-45=4']
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,32 unequal: No Solution
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,32 unequal: No Solution
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
71,
58,
77,
90
] | 43 | [
"77-71=6",
"90/6=15",
"58-15=43"
] | Current State: 43:[71, 58, 77, 90], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [58, 90, 6]
Generated Node #2: [58, 90, 6] from Operation: 77-71=6
Current State: 43:[58, 90, 6], Operations: ['77-71=6']
Exploring Operation: 90/6=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 90/6=15
Current State: 43:[58, 15], Operations: ['77-71=6', '90/6=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[71, 58, 77, 90], Operations: []
Exploring Operation: 90-58=32, Resulting Numbers: [71, 77, 32]
Generated Node #0,0: 43:[71, 77, 32] Operation: 90-58=32
Exploring Operation: 90-71=19, Resulting Numbers: [58, 77, 19]
Generated Node #0,1: 43:[58, 77, 19] Operation: 90-71=19
Moving to Node #0,0
Current State: 43:[71, 77, 32], Operations: ['90-58=32']
Exploring Operation: 71-32=39, Resulting Numbers: [77, 39]
Generated Node #0,0,0: 43:[77, 39] Operation: 71-32=39
Exploring Operation: 77-32=45, Resulting Numbers: [71, 45]
Generated Node #0,0,1: 43:[71, 45] Operation: 77-32=45
Moving to Node #0,1
Current State: 43:[58, 77, 19], Operations: ['90-71=19']
Exploring Operation: 58-19=39, Resulting Numbers: [77, 39]
Generated Node #0,1,0: 43:[77, 39] Operation: 58-19=39
Exploring Operation: 77-19=58, Resulting Numbers: [58, 58]
Generated Node #0,1,1: 43:[58, 58] Operation: 77-19=58
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[58, 58], Operations: ['90-71=19', '77-19=58']
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,43 unequal: No Solution
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[77, 39], Operations: ['90-71=19', '58-19=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 77+39=116, Resulting Numbers: [116]
116,43 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: 43:[71, 45], Operations: ['90-58=32', '77-32=45']
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 71+45=116, Resulting Numbers: [116]
116,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[77, 39], Operations: ['90-58=32', '71-32=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 77+39=116, Resulting Numbers: [116]
116,43 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
67,
7,
80,
56
] | 50 | [
"67+7=74",
"80-56=24",
"74-24=50"
] | Current State: 50:[67, 7, 80, 56], Operations: []
Exploring Operation: 67+7=74, Resulting Numbers: [80, 56, 74]
Generated Node #2: [80, 56, 74] from Operation: 67+7=74
Current State: 50:[80, 56, 74], Operations: ['67+7=74']
Exploring Operation: 80-56=24, Resulting Numbers: [74, 24]
Generated Node #3: [74, 24] from Operation: 80-56=24
Current State: 50:[74, 24], Operations: ['67+7=74', '80-56=24']
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[67, 7, 80, 56], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [67, 7, 24]
Generated Node #0,0: 50:[67, 7, 24] Operation: 80-56=24
Exploring Operation: 80-67=13, Resulting Numbers: [7, 56, 13]
Generated Node #0,1: 50:[7, 56, 13] Operation: 80-67=13
Exploring Operation: 67-56=11, Resulting Numbers: [7, 80, 11]
Generated Node #0,2: 50:[7, 80, 11] Operation: 67-56=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[7, 56, 13], Operations: ['80-67=13']
Exploring Operation: 56/7=8, Resulting Numbers: [13, 8]
Generated Node #0,1,0: 50:[13, 8] Operation: 56/7=8
Exploring Operation: 56-7=49, Resulting Numbers: [13, 49]
Generated Node #0,1,1: 50:[13, 49] Operation: 56-7=49
Exploring Operation: 13-7=6, Resulting Numbers: [56, 6]
Generated Node #0,1,2: 50:[56, 6] Operation: 13-7=6
Moving to Node #0,1,1
Current State: 50:[13, 49], Operations: ['80-67=13', '56-7=49']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,50 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[13, 8], Operations: ['80-67=13', '56/7=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[56, 6], Operations: ['80-67=13', '13-7=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[67, 7, 80, 56], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [7, 56, 13]
Generated Node #0,1: 50:[7, 56, 13] Operation: 80-67=13
Moving to Node #0,1
Current State: 50:[7, 56, 13], Operations: ['80-67=13']
Exploring Operation: 13-7=6, Resulting Numbers: [56, 6]
Generated Node #0,1,2: 50:[56, 6] Operation: 13-7=6
Moving to Node #0,1,2
Current State: 50:[56, 6], Operations: ['80-67=13', '13-7=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
70,
3,
26,
78
] | 76 | [
"70+3=73",
"78/26=3",
"73+3=76"
] | Current State: 76:[70, 3, 26, 78], Operations: []
Exploring Operation: 70+3=73, Resulting Numbers: [26, 78, 73]
Generated Node #2: [26, 78, 73] from Operation: 70+3=73
Current State: 76:[26, 78, 73], Operations: ['70+3=73']
Exploring Operation: 78/26=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 78/26=3
Current State: 76:[73, 3], Operations: ['70+3=73', '78/26=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[70, 3, 26, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [70, 3, 3]
Generated Node #0,0: 76:[70, 3, 3] Operation: 78/26=3
Exploring Operation: 70-26=44, Resulting Numbers: [3, 78, 44]
Generated Node #0,1: 76:[3, 78, 44] Operation: 70-26=44
Exploring Operation: 3*26=78, Resulting Numbers: [70, 78, 78]
Generated Node #0,2: 76:[70, 78, 78] Operation: 3*26=78
Exploring Operation: 70+3=73, Resulting Numbers: [26, 78, 73]
Generated Node #0,3: 76:[26, 78, 73] Operation: 70+3=73
Moving to Node #0,0
Current State: 76:[70, 3, 3], Operations: ['78/26=3']
Exploring Operation: 3+3=6, Resulting Numbers: [70, 6]
Generated Node #0,0,0: 76:[70, 6] Operation: 3+3=6
Exploring Operation: 70+3=73, Resulting Numbers: [3, 73]
Generated Node #0,0,1: 76:[3, 73] Operation: 70+3=73
Exploring Operation: 70+3=73, Resulting Numbers: [3, 73]
Generated Node #0,0,2: 76:[3, 73] Operation: 70+3=73
Exploring Operation: 3/3=1, Resulting Numbers: [70, 1]
Generated Node #0,0,3: 76:[70, 1] Operation: 3/3=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[3, 73], Operations: ['78/26=3', '70+3=73']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 3*73=219, Resulting Numbers: [219]
219,76 unequal: No Solution
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[70, 3, 26, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [70, 3, 3]
Generated Node #0,0: 76:[70, 3, 3] Operation: 78/26=3
Moving to Node #0,0
Current State: 76:[70, 3, 3], Operations: ['78/26=3']
Exploring Operation: 70+3=73, Resulting Numbers: [3, 73]
Generated Node #0,0,1: 76:[3, 73] Operation: 70+3=73
Moving to Node #0,0,1
Current State: 76:[3, 73], Operations: ['78/26=3', '70+3=73']
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
60,
6,
2,
86
] | 81 | [
"60/6=10",
"10/2=5",
"86-5=81"
] | Current State: 81:[60, 6, 2, 86], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [2, 86, 10]
Generated Node #2: [2, 86, 10] from Operation: 60/6=10
Current State: 81:[2, 86, 10], Operations: ['60/6=10']
Exploring Operation: 10/2=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 10/2=5
Current State: 81:[86, 5], Operations: ['60/6=10', '10/2=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[60, 6, 2, 86], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [6, 2, 26]
Generated Node #0,0: 81:[6, 2, 26] Operation: 86-60=26
Exploring Operation: 60/6=10, Resulting Numbers: [2, 86, 10]
Generated Node #0,1: 81:[2, 86, 10] Operation: 60/6=10
Moving to Node #0,0
Current State: 81:[6, 2, 26], Operations: ['86-60=26']
Exploring Operation: 6+2=8, Resulting Numbers: [26, 8]
Generated Node #0,0,0: 81:[26, 8] Operation: 6+2=8
Exploring Operation: 6/2=3, Resulting Numbers: [26, 3]
Generated Node #0,0,1: 81:[26, 3] Operation: 6/2=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[26, 3], Operations: ['86-60=26', '6/2=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[26, 8], Operations: ['86-60=26', '6+2=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,81 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: 81:[2, 86, 10], Operations: ['60/6=10']
Exploring Operation: 10-2=8, Resulting Numbers: [86, 8]
Generated Node #0,1,0: 81:[86, 8] Operation: 10-2=8
Exploring Operation: 86-2=84, Resulting Numbers: [10, 84]
Generated Node #0,1,1: 81:[10, 84] Operation: 86-2=84
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[10, 84], Operations: ['60/6=10', '86-2=84']
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Exploring Operation: 10+84=94, Resulting Numbers: [94]
94,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[86, 8], Operations: ['60/6=10', '10-2=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
48,
32,
89
] | 78 | [
"87+48=135",
"89-32=57",
"135-57=78"
] | Current State: 78:[87, 48, 32, 89], Operations: []
Exploring Operation: 87+48=135, Resulting Numbers: [32, 89, 135]
Generated Node #2: [32, 89, 135] from Operation: 87+48=135
Current State: 78:[32, 89, 135], Operations: ['87+48=135']
Exploring Operation: 89-32=57, Resulting Numbers: [135, 57]
Generated Node #3: [135, 57] from Operation: 89-32=57
Current State: 78:[135, 57], Operations: ['87+48=135', '89-32=57']
Exploring Operation: 135-57=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[87, 48, 32, 89], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [48, 32, 2]
Generated Node #0,0: 78:[48, 32, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 78:[48, 32, 2], Operations: ['89-87=2']
Exploring Operation: 48+32=80, Resulting Numbers: [2, 80]
Generated Node #0,0,0: 78:[2, 80] Operation: 48+32=80
Moving to Node #0,0,0
Current State: 78:[2, 80], Operations: ['89-87=2', '48+32=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[87, 48, 32, 89], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [48, 32, 2]
Generated Node #0,0: 78:[48, 32, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 78:[48, 32, 2], Operations: ['89-87=2']
Exploring Operation: 48+32=80, Resulting Numbers: [2, 80]
Generated Node #0,0,0: 78:[2, 80] Operation: 48+32=80
Moving to Node #0,0,0
Current State: 78:[2, 80], Operations: ['89-87=2', '48+32=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
60,
19,
75,
64
] | 36 | [
"64-19=45",
"60*45=2700",
"2700/75=36"
] | Current State: 36:[60, 19, 75, 64], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [60, 75, 45]
Generated Node #2: [60, 75, 45] from Operation: 64-19=45
Current State: 36:[60, 75, 45], Operations: ['64-19=45']
Exploring Operation: 60*45=2700, Resulting Numbers: [75, 2700]
Generated Node #3: [75, 2700] from Operation: 60*45=2700
Current State: 36:[75, 2700], Operations: ['64-19=45', '60*45=2700']
Exploring Operation: 2700/75=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[60, 19, 75, 64], Operations: []
Exploring Operation: 60-19=41, Resulting Numbers: [75, 64, 41]
Generated Node #0,0: 36:[75, 64, 41] Operation: 60-19=41
Exploring Operation: 75-64=11, Resulting Numbers: [60, 19, 11]
Generated Node #0,1: 36:[60, 19, 11] Operation: 75-64=11
Exploring Operation: 75-19=56, Resulting Numbers: [60, 64, 56]
Generated Node #0,2: 36:[60, 64, 56] Operation: 75-19=56
Exploring Operation: 75-60=15, Resulting Numbers: [19, 64, 15]
Generated Node #0,3: 36:[19, 64, 15] Operation: 75-60=15
Exploring Operation: 64-60=4, Resulting Numbers: [19, 75, 4]
Generated Node #0,4: 36:[19, 75, 4] Operation: 64-60=4
Moving to Node #0,1
Current State: 36:[60, 19, 11], Operations: ['75-64=11']
Exploring Operation: 60-19=41, Resulting Numbers: [11, 41]
Generated Node #0,1,0: 36:[11, 41] Operation: 60-19=41
Exploring Operation: 19-11=8, Resulting Numbers: [60, 8]
Generated Node #0,1,1: 36:[60, 8] Operation: 19-11=8
Exploring Operation: 60+11=71, Resulting Numbers: [19, 71]
Generated Node #0,1,2: 36:[19, 71] Operation: 60+11=71
Exploring Operation: 19+11=30, Resulting Numbers: [60, 30]
Generated Node #0,1,3: 36:[60, 30] Operation: 19+11=30
Exploring Operation: 60-11=49, Resulting Numbers: [19, 49]
Generated Node #0,1,4: 36:[19, 49] Operation: 60-11=49
Moving to Node #0,3
Current State: 36:[19, 64, 15], Operations: ['75-60=15']
Exploring Operation: 64-15=49, Resulting Numbers: [19, 49]
Generated Node #0,3,0: 36:[19, 49] Operation: 64-15=49
Exploring Operation: 19+15=34, Resulting Numbers: [64, 34]
Generated Node #0,3,1: 36:[64, 34] Operation: 19+15=34
Exploring Operation: 19-15=4, Resulting Numbers: [64, 4]
Generated Node #0,3,2: 36:[64, 4] Operation: 19-15=4
Exploring Operation: 64-19=45, Resulting Numbers: [15, 45]
Generated Node #0,3,3: 36:[15, 45] Operation: 64-19=45
Exploring Operation: 64+15=79, Resulting Numbers: [19, 79]
Generated Node #0,3,4: 36:[19, 79] Operation: 64+15=79
Moving to Node #0,4
Current State: 36:[19, 75, 4], Operations: ['64-60=4']
Exploring Operation: 75-19=56, Resulting Numbers: [4, 56]
Generated Node #0,4,0: 36:[4, 56] Operation: 75-19=56
Exploring Operation: 75+4=79, Resulting Numbers: [19, 79]
Generated Node #0,4,1: 36:[19, 79] Operation: 75+4=79
Exploring Operation: 19-4=15, Resulting Numbers: [75, 15]
Generated Node #0,4,2: 36:[75, 15] Operation: 19-4=15
Exploring Operation: 75-4=71, Resulting Numbers: [19, 71]
Generated Node #0,4,3: 36:[19, 71] Operation: 75-4=71
Exploring Operation: 19+4=23, Resulting Numbers: [75, 23]
Generated Node #0,4,4: 36:[75, 23] Operation: 19+4=23
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 36:[4, 56], Operations: ['64-60=4', '75-19=56']
Exploring Operation: 4*56=224, Resulting Numbers: [224]
224,36 unequal: No Solution
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 36:[19, 71], Operations: ['64-60=4', '75-4=71']
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 19*71=1349, Resulting Numbers: [1349]
1349,36 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 36:[75, 15], Operations: ['64-60=4', '19-4=15']
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 75+15=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 75*15=1125, Resulting Numbers: [1125]
1125,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 36:[19, 79], Operations: ['64-60=4', '75+4=79']
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 19*79=1501, Resulting Numbers: [1501]
1501,36 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 36:[75, 23], Operations: ['64-60=4', '19+4=23']
Exploring Operation: 75+23=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 75*23=1725, Resulting Numbers: [1725]
1725,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[75, 64, 41], Operations: ['60-19=41']
Exploring Operation: 75+64=139, Resulting Numbers: [41, 139]
Generated Node #0,0,0: 36:[41, 139] Operation: 75+64=139
Exploring Operation: 64-41=23, Resulting Numbers: [75, 23]
Generated Node #0,0,1: 36:[75, 23] Operation: 64-41=23
Exploring Operation: 75-41=34, Resulting Numbers: [64, 34]
Generated Node #0,0,2: 36:[64, 34] Operation: 75-41=34
Exploring Operation: 75+41=116, Resulting Numbers: [64, 116]
Generated Node #0,0,3: 36:[64, 116] Operation: 75+41=116
Exploring Operation: 75-64=11, Resulting Numbers: [41, 11]
Generated Node #0,0,4: 36:[41, 11] Operation: 75-64=11
Moving to Node #0,2
Current State: 36:[60, 64, 56], Operations: ['75-19=56']
Exploring Operation: 64-56=8, Resulting Numbers: [60, 8]
Generated Node #0,2,0: 36:[60, 8] Operation: 64-56=8
Exploring Operation: 60+64=124, Resulting Numbers: [56, 124]
Generated Node #0,2,1: 36:[56, 124] Operation: 60+64=124
Exploring Operation: 60+56=116, Resulting Numbers: [64, 116]
Generated Node #0,2,2: 36:[64, 116] Operation: 60+56=116
Exploring Operation: 64-60=4, Resulting Numbers: [56, 4]
Generated Node #0,2,3: 36:[56, 4] Operation: 64-60=4
Exploring Operation: 60-56=4, Resulting Numbers: [64, 4]
Generated Node #0,2,4: 36:[64, 4] Operation: 60-56=4
Moving to Node #0,1,0
Current State: 36:[11, 41], Operations: ['75-64=11', '60-19=41']
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,36 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Moving to Node #0,0,4
Current State: 36:[41, 11], Operations: ['60-19=41', '75-64=11']
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[15, 45], Operations: ['75-60=15', '64-19=45']
Exploring Operation: 15*45=675, Resulting Numbers: [675]
675,36 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[19, 49], Operations: ['75-60=15', '64-15=49']
Exploring Operation: 19*49=931, Resulting Numbers: [931]
931,36 unequal: No Solution
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,1,4
Current State: 36:[19, 49], Operations: ['75-64=11', '60-11=49']
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 19*49=931, Resulting Numbers: [931]
931,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[56, 4], Operations: ['75-19=56', '64-60=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,36 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[60, 8], Operations: ['75-64=11', '19-11=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,36 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[60, 8], Operations: ['75-19=56', '64-56=8']
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,36 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[64, 4], Operations: ['75-19=56', '60-56=4']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[64, 4], Operations: ['75-60=15', '19-15=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,36 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[64, 34], Operations: ['60-19=41', '75-41=34']
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 64*34=2176, Resulting Numbers: [2176]
2176,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[64, 34], Operations: ['75-60=15', '19+15=34']
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 64*34=2176, Resulting Numbers: [2176]
2176,36 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[60, 30], Operations: ['75-64=11', '19+11=30']
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,36 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[19, 71], Operations: ['75-64=11', '60+11=71']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 19*71=1349, Resulting Numbers: [1349]
1349,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[19, 79], Operations: ['75-60=15', '64+15=79']
Exploring Operation: 19*79=1501, Resulting Numbers: [1501]
1501,36 unequal: No Solution
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[75, 23], Operations: ['60-19=41', '64-41=23']
Exploring Operation: 75+23=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 75*23=1725, Resulting Numbers: [1725]
1725,36 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[64, 116], Operations: ['75-19=56', '60+56=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 64*116=7424, Resulting Numbers: [7424]
7424,36 unequal: No Solution
Exploring Operation: 64+116=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[64, 116], Operations: ['60-19=41', '75+41=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 64*116=7424, Resulting Numbers: [7424]
7424,36 unequal: No Solution
Exploring Operation: 64+116=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[56, 124], Operations: ['75-19=56', '60+64=124']
Exploring Operation: 56+124=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Exploring Operation: 124-56=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 56*124=6944, Resulting Numbers: [6944]
6944,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[41, 139], Operations: ['60-19=41', '75+64=139']
Exploring Operation: 139-41=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 41+139=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Exploring Operation: 41*139=5699, Resulting Numbers: [5699]
5699,36 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
62,
20,
44,
2
] | 63 | [
"62+20=82",
"44+82=126",
"126/2=63"
] | Current State: 63:[62, 20, 44, 2], Operations: []
Exploring Operation: 62+20=82, Resulting Numbers: [44, 2, 82]
Generated Node #2: [44, 2, 82] from Operation: 62+20=82
Current State: 63:[44, 2, 82], Operations: ['62+20=82']
Exploring Operation: 44+82=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 44+82=126
Current State: 63:[2, 126], Operations: ['62+20=82', '44+82=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[62, 20, 44, 2], Operations: []
Exploring Operation: 20+44=64, Resulting Numbers: [62, 2, 64]
Generated Node #0,0: 63:[62, 2, 64] Operation: 20+44=64
Moving to Node #0,0
Current State: 63:[62, 2, 64], Operations: ['20+44=64']
Exploring Operation: 62+2=64, Resulting Numbers: [64, 64]
Generated Node #0,0,0: 63:[64, 64] Operation: 62+2=64
Moving to Node #0,0,0
Current State: 63:[64, 64], Operations: ['20+44=64', '62+2=64']
Exploring Operation: 64/64=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
34,
1,
49
] | 27 | [
"34-12=22",
"1*49=49",
"49-22=27"
] | Current State: 27:[12, 34, 1, 49], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [1, 49, 22]
Generated Node #2: [1, 49, 22] from Operation: 34-12=22
Current State: 27:[1, 49, 22], Operations: ['34-12=22']
Exploring Operation: 1*49=49, Resulting Numbers: [22, 49]
Generated Node #3: [22, 49] from Operation: 1*49=49
Current State: 27:[22, 49], Operations: ['34-12=22', '1*49=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[12, 34, 1, 49], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [1, 49, 22]
Generated Node #0,0: 27:[1, 49, 22] Operation: 34-12=22
Exploring Operation: 12-1=11, Resulting Numbers: [34, 49, 11]
Generated Node #0,1: 27:[34, 49, 11] Operation: 12-1=11
Exploring Operation: 49-12=37, Resulting Numbers: [34, 1, 37]
Generated Node #0,2: 27:[34, 1, 37] Operation: 49-12=37
Exploring Operation: 34-1=33, Resulting Numbers: [12, 49, 33]
Generated Node #0,3: 27:[12, 49, 33] Operation: 34-1=33
Exploring Operation: 49-34=15, Resulting Numbers: [12, 1, 15]
Generated Node #0,4: 27:[12, 1, 15] Operation: 49-34=15
Moving to Node #0,4
Current State: 27:[12, 1, 15], Operations: ['49-34=15']
Exploring Operation: 12*1=12, Resulting Numbers: [15, 12]
Generated Node #0,4,0: 27:[15, 12] Operation: 12*1=12
Exploring Operation: 12-1=11, Resulting Numbers: [15, 11]
Generated Node #0,4,1: 27:[15, 11] Operation: 12-1=11
Exploring Operation: 15-1=14, Resulting Numbers: [12, 14]
Generated Node #0,4,2: 27:[12, 14] Operation: 15-1=14
Exploring Operation: 12+15=27, Resulting Numbers: [1, 27]
Generated Node #0,4,3: 27:[1, 27] Operation: 12+15=27
Exploring Operation: 15-12=3, Resulting Numbers: [1, 3]
Generated Node #0,4,4: 27:[1, 3] Operation: 15-12=3
Moving to Node #0,2
Current State: 27:[34, 1, 37], Operations: ['49-12=37']
Exploring Operation: 34-1=33, Resulting Numbers: [37, 33]
Generated Node #0,2,0: 27:[37, 33] Operation: 34-1=33
Exploring Operation: 37-34=3, Resulting Numbers: [1, 3]
Generated Node #0,2,1: 27:[1, 3] Operation: 37-34=3
Exploring Operation: 37-1=36, Resulting Numbers: [34, 36]
Generated Node #0,2,2: 27:[34, 36] Operation: 37-1=36
Exploring Operation: 34*1=34, Resulting Numbers: [37, 34]
Generated Node #0,2,3: 27:[37, 34] Operation: 34*1=34
Exploring Operation: 34/1=34, Resulting Numbers: [37, 34]
Generated Node #0,2,4: 27:[37, 34] Operation: 34/1=34
Moving to Node #0,0
Current State: 27:[1, 49, 22], Operations: ['34-12=22']
Exploring Operation: 1*49=49, Resulting Numbers: [22, 49]
Generated Node #0,0,0: 27:[22, 49] Operation: 1*49=49
Exploring Operation: 1+22=23, Resulting Numbers: [49, 23]
Generated Node #0,0,1: 27:[49, 23] Operation: 1+22=23
Exploring Operation: 49-22=27, Resulting Numbers: [1, 27]
Generated Node #0,0,2: 27:[1, 27] Operation: 49-22=27
Exploring Operation: 49/1=49, Resulting Numbers: [22, 49]
Generated Node #0,0,3: 27:[22, 49] Operation: 49/1=49
Exploring Operation: 49-1=48, Resulting Numbers: [22, 48]
Generated Node #0,0,4: 27:[22, 48] Operation: 49-1=48
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 27:[1, 27], Operations: ['34-12=22', '49-22=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[12, 34, 1, 49], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [1, 49, 22]
Generated Node #0,0: 27:[1, 49, 22] Operation: 34-12=22
Moving to Node #0,0
Current State: 27:[1, 49, 22], Operations: ['34-12=22']
Exploring Operation: 49-22=27, Resulting Numbers: [1, 27]
Generated Node #0,0,2: 27:[1, 27] Operation: 49-22=27
Moving to Node #0,0,2
Current State: 27:[1, 27], Operations: ['34-12=22', '49-22=27']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
91,
26,
30,
14
] | 35 | [
"30-26=4",
"14*4=56",
"91-56=35"
] | Current State: 35:[91, 26, 30, 14], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [91, 14, 4]
Generated Node #2: [91, 14, 4] from Operation: 30-26=4
Current State: 35:[91, 14, 4], Operations: ['30-26=4']
Exploring Operation: 14*4=56, Resulting Numbers: [91, 56]
Generated Node #3: [91, 56] from Operation: 14*4=56
Current State: 35:[91, 56], Operations: ['30-26=4', '14*4=56']
Exploring Operation: 91-56=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[91, 26, 30, 14], Operations: []
Exploring Operation: 91-26=65, Resulting Numbers: [30, 14, 65]
Generated Node #0,0: 35:[30, 14, 65] Operation: 91-26=65
Moving to Node #0,0
Current State: 35:[30, 14, 65], Operations: ['91-26=65']
Exploring Operation: 65-30=35, Resulting Numbers: [14, 35]
Generated Node #0,0,0: 35:[14, 35] Operation: 65-30=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[14, 35], Operations: ['91-26=65', '65-30=35']
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,35 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 |
[
65,
44,
98,
45
] | 78 | [
"98-44=54",
"65*54=3510",
"3510/45=78"
] | Current State: 78:[65, 44, 98, 45], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [65, 45, 54]
Generated Node #2: [65, 45, 54] from Operation: 98-44=54
Current State: 78:[65, 45, 54], Operations: ['98-44=54']
Exploring Operation: 65*54=3510, Resulting Numbers: [45, 3510]
Generated Node #3: [45, 3510] from Operation: 65*54=3510
Current State: 78:[45, 3510], Operations: ['98-44=54', '65*54=3510']
Exploring Operation: 3510/45=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[65, 44, 98, 45], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [44, 45, 33]
Generated Node #0,0: 78:[44, 45, 33] Operation: 98-65=33
Exploring Operation: 98-44=54, Resulting Numbers: [65, 45, 54]
Generated Node #0,1: 78:[65, 45, 54] Operation: 98-44=54
Exploring Operation: 98-45=53, Resulting Numbers: [65, 44, 53]
Generated Node #0,2: 78:[65, 44, 53] Operation: 98-45=53
Exploring Operation: 65-45=20, Resulting Numbers: [44, 98, 20]
Generated Node #0,3: 78:[44, 98, 20] Operation: 65-45=20
Exploring Operation: 65-44=21, Resulting Numbers: [98, 45, 21]
Generated Node #0,4: 78:[98, 45, 21] Operation: 65-44=21
Moving to Node #0,0
Current State: 78:[44, 45, 33], Operations: ['98-65=33']
Exploring Operation: 44+33=77, Resulting Numbers: [45, 77]
Generated Node #0,0,0: 78:[45, 77] Operation: 44+33=77
Exploring Operation: 44-33=11, Resulting Numbers: [45, 11]
Generated Node #0,0,1: 78:[45, 11] Operation: 44-33=11
Exploring Operation: 45-33=12, Resulting Numbers: [44, 12]
Generated Node #0,0,2: 78:[44, 12] Operation: 45-33=12
Exploring Operation: 45-44=1, Resulting Numbers: [33, 1]
Generated Node #0,0,3: 78:[33, 1] Operation: 45-44=1
Exploring Operation: 45+33=78, Resulting Numbers: [44, 78]
Generated Node #0,0,4: 78:[44, 78] Operation: 45+33=78
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 78:[44, 78], Operations: ['98-65=33', '45+33=78']
Exploring Operation: 44*78=3432, Resulting Numbers: [3432]
3432,78 unequal: No Solution
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 44+78=122, Resulting Numbers: [122]
122,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[44, 12], Operations: ['98-65=33', '45-33=12']
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 44*12=528, Resulting Numbers: [528]
528,78 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[45, 77], Operations: ['98-65=33', '44+33=77']
Exploring Operation: 45+77=122, Resulting Numbers: [122]
122,78 unequal: No Solution
Exploring Operation: 45*77=3465, Resulting Numbers: [3465]
3465,78 unequal: No Solution
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 78:[33, 1], Operations: ['98-65=33', '45-44=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[45, 11], Operations: ['98-65=33', '44-33=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,78 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: 78:[98, 45, 21], Operations: ['65-44=21']
Exploring Operation: 98+21=119, Resulting Numbers: [45, 119]
Generated Node #0,4,0: 78:[45, 119] Operation: 98+21=119
Exploring Operation: 45-21=24, Resulting Numbers: [98, 24]
Generated Node #0,4,1: 78:[98, 24] Operation: 45-21=24
Exploring Operation: 98-21=77, Resulting Numbers: [45, 77]
Generated Node #0,4,2: 78:[45, 77] Operation: 98-21=77
Exploring Operation: 45+21=66, Resulting Numbers: [98, 66]
Generated Node #0,4,3: 78:[98, 66] Operation: 45+21=66
Exploring Operation: 98-45=53, Resulting Numbers: [21, 53]
Generated Node #0,4,4: 78:[21, 53] Operation: 98-45=53
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 78:[45, 77], Operations: ['65-44=21', '98-21=77']
Exploring Operation: 45*77=3465, Resulting Numbers: [3465]
3465,78 unequal: No Solution
Exploring Operation: 45+77=122, Resulting Numbers: [122]
122,78 unequal: No Solution
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,78 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 #0,4,4
Current State: 78:[21, 53], Operations: ['65-44=21', '98-45=53']
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 21*53=1113, Resulting Numbers: [1113]
1113,78 unequal: No Solution
Exploring Operation: 21+53=74, Resulting Numbers: [74]
74,78 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 #0,4,1
Current State: 78:[98, 24], Operations: ['65-44=21', '45-21=24']
Exploring Operation: 98+24=122, Resulting Numbers: [122]
122,78 unequal: No Solution
Exploring Operation: 98-24=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 98*24=2352, Resulting Numbers: [2352]
2352,78 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 #0,4,3
Current State: 78:[98, 66], Operations: ['65-44=21', '45+21=66']
Exploring Operation: 98+66=164, Resulting Numbers: [164]
164,78 unequal: No Solution
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 98*66=6468, Resulting Numbers: [6468]
6468,78 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 #0,4,0
Current State: 78:[45, 119], Operations: ['65-44=21', '98+21=119']
Exploring Operation: 45*119=5355, Resulting Numbers: [5355]
5355,78 unequal: No Solution
Exploring Operation: 119-45=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 45+119=164, Resulting Numbers: [164]
164,78 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: 78:[44, 98, 20], Operations: ['65-45=20']
Exploring Operation: 98-20=78, Resulting Numbers: [44, 78]
Generated Node #0,3,0: 78:[44, 78] Operation: 98-20=78
Exploring Operation: 44+20=64, Resulting Numbers: [98, 64]
Generated Node #0,3,1: 78:[98, 64] Operation: 44+20=64
Exploring Operation: 98+20=118, Resulting Numbers: [44, 118]
Generated Node #0,3,2: 78:[44, 118] Operation: 98+20=118
Exploring Operation: 44-20=24, Resulting Numbers: [98, 24]
Generated Node #0,3,3: 78:[98, 24] Operation: 44-20=24
Exploring Operation: 98-44=54, Resulting Numbers: [20, 54]
Generated Node #0,3,4: 78:[20, 54] Operation: 98-44=54
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 78:[44, 78], Operations: ['65-45=20', '98-20=78']
Exploring Operation: 44*78=3432, Resulting Numbers: [3432]
3432,78 unequal: No Solution
Exploring Operation: 44+78=122, Resulting Numbers: [122]
122,78 unequal: No Solution
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,78 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 #0,3,4
Current State: 78:[20, 54], Operations: ['65-45=20', '98-44=54']
Exploring Operation: 20*54=1080, Resulting Numbers: [1080]
1080,78 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 20+54=74, Resulting Numbers: [74]
74,78 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:[98, 24], Operations: ['65-45=20', '44-20=24']
Exploring Operation: 98+24=122, Resulting Numbers: [122]
122,78 unequal: No Solution
Exploring Operation: 98-24=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 98*24=2352, Resulting Numbers: [2352]
2352,78 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 #0,3,1
Current State: 78:[98, 64], Operations: ['65-45=20', '44+20=64']
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,78 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,78 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 #0,3,2
Current State: 78:[44, 118], Operations: ['65-45=20', '98+20=118']
Exploring Operation: 44+118=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 44*118=5192, Resulting Numbers: [5192]
5192,78 unequal: No Solution
Exploring Operation: 118-44=74, Resulting Numbers: [74]
74,78 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: 78:[65, 44, 53], Operations: ['98-45=53']
Exploring Operation: 65-53=12, Resulting Numbers: [44, 12]
Generated Node #0,2,0: 78:[44, 12] Operation: 65-53=12
Exploring Operation: 65-44=21, Resulting Numbers: [53, 21]
Generated Node #0,2,1: 78:[53, 21] Operation: 65-44=21
Exploring Operation: 44+53=97, Resulting Numbers: [65, 97]
Generated Node #0,2,2: 78:[65, 97] Operation: 44+53=97
Exploring Operation: 65+44=109, Resulting Numbers: [53, 109]
Generated Node #0,2,3: 78:[53, 109] Operation: 65+44=109
Exploring Operation: 53-44=9, Resulting Numbers: [65, 9]
Generated Node #0,2,4: 78:[65, 9] Operation: 53-44=9
Moving to Node #0,1
Current State: 78:[65, 45, 54], Operations: ['98-44=54']
Exploring Operation: 65-54=11, Resulting Numbers: [45, 11]
Generated Node #0,1,0: 78:[45, 11] Operation: 65-54=11
Exploring Operation: 45+54=99, Resulting Numbers: [65, 99]
Generated Node #0,1,1: 78:[65, 99] Operation: 45+54=99
Exploring Operation: 65+45=110, Resulting Numbers: [54, 110]
Generated Node #0,1,2: 78:[54, 110] Operation: 65+45=110
Exploring Operation: 54-45=9, Resulting Numbers: [65, 9]
Generated Node #0,1,3: 78:[65, 9] Operation: 54-45=9
Exploring Operation: 65-45=20, Resulting Numbers: [54, 20]
Generated Node #0,1,4: 78:[54, 20] Operation: 65-45=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[45, 11], Operations: ['98-44=54', '65-54=11']
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,78 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,78 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 #0,1,3
Current State: 78:[65, 9], Operations: ['98-44=54', '54-45=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,78 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,78 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 #0,1,4
Current State: 78:[54, 20], Operations: ['98-44=54', '65-45=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,78 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 #0,1,1
Current State: 78:[65, 99], Operations: ['98-44=54', '45+54=99']
Exploring Operation: 99-65=34, Resulting Numbers: [34]
34,78 unequal: No Solution
Exploring Operation: 65+99=164, Resulting Numbers: [164]
164,78 unequal: No Solution
Exploring Operation: 65*99=6435, Resulting Numbers: [6435]
6435,78 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 #0,1,2
Current State: 78:[54, 110], Operations: ['98-44=54', '65+45=110']
Exploring Operation: 110-54=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 54*110=5940, Resulting Numbers: [5940]
5940,78 unequal: No Solution
Exploring Operation: 54+110=164, Resulting Numbers: [164]
164,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 78:[44, 12], Operations: ['98-45=53', '65-53=12']
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 44*12=528, Resulting Numbers: [528]
528,78 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Moving to Node #0,2,4
Current State: 78:[65, 9], Operations: ['98-45=53', '53-44=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[53, 21], Operations: ['98-45=53', '65-44=21']
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 53*21=1113, Resulting Numbers: [1113]
1113,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[65, 97], Operations: ['98-45=53', '44+53=97']
Exploring Operation: 65+97=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 97-65=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 65*97=6305, Resulting Numbers: [6305]
6305,78 unequal: No Solution
Moving to Node #0,2,3
Current State: 78:[53, 109], Operations: ['98-45=53', '65+44=109']
Exploring Operation: 53+109=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 109-53=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 53*109=5777, Resulting Numbers: [5777]
5777,78 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
50,
24,
6,
92
] | 46 | [
"92-50=42",
"24/6=4",
"42+4=46"
] | Current State: 46:[50, 24, 6, 92], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [24, 6, 42]
Generated Node #2: [24, 6, 42] from Operation: 92-50=42
Current State: 46:[24, 6, 42], Operations: ['92-50=42']
Exploring Operation: 24/6=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 24/6=4
Current State: 46:[42, 4], Operations: ['92-50=42', '24/6=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[50, 24, 6, 92], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [50, 92, 4]
Generated Node #0,0: 46:[50, 92, 4] Operation: 24/6=4
Exploring Operation: 50-6=44, Resulting Numbers: [24, 92, 44]
Generated Node #0,1: 46:[24, 92, 44] Operation: 50-6=44
Exploring Operation: 92-50=42, Resulting Numbers: [24, 6, 42]
Generated Node #0,2: 46:[24, 6, 42] Operation: 92-50=42
Exploring Operation: 92-24=68, Resulting Numbers: [50, 6, 68]
Generated Node #0,3: 46:[50, 6, 68] Operation: 92-24=68
Exploring Operation: 92-6=86, Resulting Numbers: [50, 24, 86]
Generated Node #0,4: 46:[50, 24, 86] Operation: 92-6=86
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[24, 6, 42], Operations: ['92-50=42']
Exploring Operation: 24/6=4, Resulting Numbers: [42, 4]
Generated Node #0,2,0: 46:[42, 4] Operation: 24/6=4
Exploring Operation: 42-24=18, Resulting Numbers: [6, 18]
Generated Node #0,2,1: 46:[6, 18] Operation: 42-24=18
Exploring Operation: 24-6=18, Resulting Numbers: [42, 18]
Generated Node #0,2,2: 46:[42, 18] Operation: 24-6=18
Exploring Operation: 42/6=7, Resulting Numbers: [24, 7]
Generated Node #0,2,3: 46:[24, 7] Operation: 42/6=7
Exploring Operation: 6+42=48, Resulting Numbers: [24, 48]
Generated Node #0,2,4: 46:[24, 48] Operation: 6+42=48
Moving to Node #0,2,4
Current State: 46:[24, 48], Operations: ['92-50=42', '6+42=48']
Exploring Operation: 24*48=1152, Resulting Numbers: [1152]
1152,46 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[24, 7], Operations: ['92-50=42', '42/6=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,46 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[42, 4], Operations: ['92-50=42', '24/6=4']
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,46 unequal: No Solution
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[50, 24, 6, 92], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [24, 6, 42]
Generated Node #0,2: 46:[24, 6, 42] Operation: 92-50=42
Moving to Node #0,2
Current State: 46:[24, 6, 42], Operations: ['92-50=42']
Exploring Operation: 24/6=4, Resulting Numbers: [42, 4]
Generated Node #0,2,0: 46:[42, 4] Operation: 24/6=4
Moving to Node #0,2,0
Current State: 46:[42, 4], Operations: ['92-50=42', '24/6=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
22,
60,
34,
32
] | 80 | [
"22+60=82",
"34-32=2",
"82-2=80"
] | Current State: 80:[22, 60, 34, 32], Operations: []
Exploring Operation: 22+60=82, Resulting Numbers: [34, 32, 82]
Generated Node #2: [34, 32, 82] from Operation: 22+60=82
Current State: 80:[34, 32, 82], Operations: ['22+60=82']
Exploring Operation: 34-32=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 34-32=2
Current State: 80:[82, 2], Operations: ['22+60=82', '34-32=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[22, 60, 34, 32], Operations: []
Exploring Operation: 60-22=38, Resulting Numbers: [34, 32, 38]
Generated Node #0,0: 80:[34, 32, 38] Operation: 60-22=38
Exploring Operation: 22+60=82, Resulting Numbers: [34, 32, 82]
Generated Node #0,1: 80:[34, 32, 82] Operation: 22+60=82
Moving to Node #0,0
Current State: 80:[34, 32, 38], Operations: ['60-22=38']
Exploring Operation: 38-32=6, Resulting Numbers: [34, 6]
Generated Node #0,0,0: 80:[34, 6] Operation: 38-32=6
Exploring Operation: 34-32=2, Resulting Numbers: [38, 2]
Generated Node #0,0,1: 80:[38, 2] Operation: 34-32=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[38, 2], Operations: ['60-22=38', '34-32=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[34, 6], Operations: ['60-22=38', '38-32=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,80 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: 80:[34, 32, 82], Operations: ['22+60=82']
Exploring Operation: 34-32=2, Resulting Numbers: [82, 2]
Generated Node #0,1,0: 80:[82, 2] Operation: 34-32=2
Exploring Operation: 34+32=66, Resulting Numbers: [82, 66]
Generated Node #0,1,1: 80:[82, 66] Operation: 34+32=66
Moving to Node #0,1,0
Current State: 80:[82, 2], Operations: ['22+60=82', '34-32=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[22, 60, 34, 32], Operations: []
Exploring Operation: 22+60=82, Resulting Numbers: [34, 32, 82]
Generated Node #0,1: 80:[34, 32, 82] Operation: 22+60=82
Moving to Node #0,1
Current State: 80:[34, 32, 82], Operations: ['22+60=82']
Exploring Operation: 34-32=2, Resulting Numbers: [82, 2]
Generated Node #0,1,0: 80:[82, 2] Operation: 34-32=2
Moving to Node #0,1,0
Current State: 80:[82, 2], Operations: ['22+60=82', '34-32=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
56,
73,
2,
3
] | 31 | [
"73-56=17",
"2*17=34",
"34-3=31"
] | Current State: 31:[56, 73, 2, 3], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [2, 3, 17]
Generated Node #2: [2, 3, 17] from Operation: 73-56=17
Current State: 31:[2, 3, 17], Operations: ['73-56=17']
Exploring Operation: 2*17=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 2*17=34
Current State: 31:[3, 34], Operations: ['73-56=17', '2*17=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[56, 73, 2, 3], Operations: []
Exploring Operation: 2*3=6, Resulting Numbers: [56, 73, 6]
Generated Node #0,0: 31:[56, 73, 6] Operation: 2*3=6
Exploring Operation: 73-56=17, Resulting Numbers: [2, 3, 17]
Generated Node #0,1: 31:[2, 3, 17] Operation: 73-56=17
Exploring Operation: 56/2=28, Resulting Numbers: [73, 3, 28]
Generated Node #0,2: 31:[73, 3, 28] Operation: 56/2=28
Moving to Node #0,1
Current State: 31:[2, 3, 17], Operations: ['73-56=17']
Exploring Operation: 2+3=5, Resulting Numbers: [17, 5]
Generated Node #0,1,0: 31:[17, 5] Operation: 2+3=5
Exploring Operation: 2*3=6, Resulting Numbers: [17, 6]
Generated Node #0,1,1: 31:[17, 6] Operation: 2*3=6
Exploring Operation: 2*17=34, Resulting Numbers: [3, 34]
Generated Node #0,1,2: 31:[3, 34] Operation: 2*17=34
Moving to Node #0,2
Current State: 31:[73, 3, 28], Operations: ['56/2=28']
Exploring Operation: 3+28=31, Resulting Numbers: [73, 31]
Generated Node #0,2,0: 31:[73, 31] Operation: 3+28=31
Exploring Operation: 73-3=70, Resulting Numbers: [28, 70]
Generated Node #0,2,1: 31:[28, 70] Operation: 73-3=70
Exploring Operation: 73-28=45, Resulting Numbers: [3, 45]
Generated Node #0,2,2: 31:[3, 45] Operation: 73-28=45
Moving to Node #0,0
Current State: 31:[56, 73, 6], Operations: ['2*3=6']
Exploring Operation: 73-6=67, Resulting Numbers: [56, 67]
Generated Node #0,0,0: 31:[56, 67] Operation: 73-6=67
Exploring Operation: 56-6=50, Resulting Numbers: [73, 50]
Generated Node #0,0,1: 31:[73, 50] Operation: 56-6=50
Exploring Operation: 73-56=17, Resulting Numbers: [6, 17]
Generated Node #0,0,2: 31:[6, 17] Operation: 73-56=17
Moving to Node #0,1,2
Current State: 31:[3, 34], Operations: ['73-56=17', '2*17=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,31 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[56, 73, 2, 3], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [2, 3, 17]
Generated Node #0,1: 31:[2, 3, 17] Operation: 73-56=17
Moving to Node #0,1
Current State: 31:[2, 3, 17], Operations: ['73-56=17']
Exploring Operation: 2*17=34, Resulting Numbers: [3, 34]
Generated Node #0,1,2: 31:[3, 34] Operation: 2*17=34
Moving to Node #0,1,2
Current State: 31:[3, 34], Operations: ['73-56=17', '2*17=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.984375 | hs_3 | mult_heuristic |
[
56,
7,
12,
56
] | 76 | [
"56/7=8",
"12+56=68",
"8+68=76"
] | Current State: 76:[56, 7, 12, 56], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [12, 8]
Generated Node #2: [12, 8] from Operation: 56/7=8
Current State: 76:[12, 8], Operations: ['56/7=8']
Exploring Operation: 12+56=68, Resulting Numbers: [8, 68]
Generated Node #3: [8, 68] from Operation: 12+56=68
Current State: 76:[8, 68], Operations: ['56/7=8', '12+56=68']
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[56, 7, 12, 56], Operations: []
Exploring Operation: 56/56=1, Resulting Numbers: [7, 12, 1]
Generated Node #0,0: 76:[7, 12, 1] Operation: 56/56=1
Moving to Node #0,0
Current State: 76:[7, 12, 1], Operations: ['56/56=1']
Exploring Operation: 7+12=19, Resulting Numbers: [1, 19]
Generated Node #0,0,0: 76:[1, 19] Operation: 7+12=19
Moving to Node #0,0,0
Current State: 76:[1, 19], Operations: ['56/56=1', '7+12=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,76 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
32,
74,
53,
33
] | 31 | [
"32+74=106",
"106/53=2",
"33-2=31"
] | Current State: 31:[32, 74, 53, 33], Operations: []
Exploring Operation: 32+74=106, Resulting Numbers: [53, 33, 106]
Generated Node #2: [53, 33, 106] from Operation: 32+74=106
Current State: 31:[53, 33, 106], Operations: ['32+74=106']
Exploring Operation: 106/53=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 106/53=2
Current State: 31:[33, 2], Operations: ['32+74=106', '106/53=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[32, 74, 53, 33], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [53, 33, 42]
Generated Node #0,0: 31:[53, 33, 42] Operation: 74-32=42
Exploring Operation: 74-33=41, Resulting Numbers: [32, 53, 41]
Generated Node #0,1: 31:[32, 53, 41] Operation: 74-33=41
Exploring Operation: 74-53=21, Resulting Numbers: [32, 33, 21]
Generated Node #0,2: 31:[32, 33, 21] Operation: 74-53=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[32, 33, 21], Operations: ['74-53=21']
Exploring Operation: 32-21=11, Resulting Numbers: [33, 11]
Generated Node #0,2,0: 31:[33, 11] Operation: 32-21=11
Exploring Operation: 32+21=53, Resulting Numbers: [33, 53]
Generated Node #0,2,1: 31:[33, 53] Operation: 32+21=53
Exploring Operation: 33-21=12, Resulting Numbers: [32, 12]
Generated Node #0,2,2: 31:[32, 12] Operation: 33-21=12
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[32, 12], Operations: ['74-53=21', '33-21=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,31 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,31 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 #0,2,0
Current State: 31:[33, 11], Operations: ['74-53=21', '32-21=11']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,31 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 #0,2,1
Current State: 31:[33, 53], Operations: ['74-53=21', '32+21=53']
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Exploring Operation: 33*53=1749, Resulting Numbers: [1749]
1749,31 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:[32, 53, 41], Operations: ['74-33=41']
Exploring Operation: 53-41=12, Resulting Numbers: [32, 12]
Generated Node #0,1,0: 31:[32, 12] Operation: 53-41=12
Exploring Operation: 53-32=21, Resulting Numbers: [41, 21]
Generated Node #0,1,1: 31:[41, 21] Operation: 53-32=21
Exploring Operation: 41-32=9, Resulting Numbers: [53, 9]
Generated Node #0,1,2: 31:[53, 9] Operation: 41-32=9
Moving to Node #0,1,0
Current State: 31:[32, 12], Operations: ['74-33=41', '53-41=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,31 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[41, 21], Operations: ['74-33=41', '53-32=21']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,31 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[53, 9], Operations: ['74-33=41', '41-32=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,31 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[53, 33, 42], Operations: ['74-32=42']
Exploring Operation: 53-42=11, Resulting Numbers: [33, 11]
Generated Node #0,0,0: 31:[33, 11] Operation: 53-42=11
Exploring Operation: 53-33=20, Resulting Numbers: [42, 20]
Generated Node #0,0,1: 31:[42, 20] Operation: 53-33=20
Exploring Operation: 42-33=9, Resulting Numbers: [53, 9]
Generated Node #0,0,2: 31:[53, 9] Operation: 42-33=9
Moving to Node #0,0,0
Current State: 31:[33, 11], Operations: ['74-32=42', '53-42=11']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[42, 20], Operations: ['74-32=42', '53-33=20']
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,31 unequal: No Solution
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[53, 9], Operations: ['74-32=42', '42-33=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,31 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 |
[
26,
68,
33,
37
] | 15 | [
"33-26=7",
"68+37=105",
"105/7=15"
] | Current State: 15:[26, 68, 33, 37], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [68, 37, 7]
Generated Node #2: [68, 37, 7] from Operation: 33-26=7
Current State: 15:[68, 37, 7], Operations: ['33-26=7']
Exploring Operation: 68+37=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 68+37=105
Current State: 15:[7, 105], Operations: ['33-26=7', '68+37=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[26, 68, 33, 37], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [26, 68, 4]
Generated Node #0,0: 15:[26, 68, 4] Operation: 37-33=4
Exploring Operation: 68-33=35, Resulting Numbers: [26, 37, 35]
Generated Node #0,1: 15:[26, 37, 35] Operation: 68-33=35
Exploring Operation: 68-26=42, Resulting Numbers: [33, 37, 42]
Generated Node #0,2: 15:[33, 37, 42] Operation: 68-26=42
Exploring Operation: 68-37=31, Resulting Numbers: [26, 33, 31]
Generated Node #0,3: 15:[26, 33, 31] Operation: 68-37=31
Moving to Node #0,3
Current State: 15:[26, 33, 31], Operations: ['68-37=31']
Exploring Operation: 26+33=59, Resulting Numbers: [31, 59]
Generated Node #0,3,0: 15:[31, 59] Operation: 26+33=59
Exploring Operation: 33-31=2, Resulting Numbers: [26, 2]
Generated Node #0,3,1: 15:[26, 2] Operation: 33-31=2
Exploring Operation: 33-26=7, Resulting Numbers: [31, 7]
Generated Node #0,3,2: 15:[31, 7] Operation: 33-26=7
Exploring Operation: 31-26=5, Resulting Numbers: [33, 5]
Generated Node #0,3,3: 15:[33, 5] Operation: 31-26=5
Moving to Node #0,1
Current State: 15:[26, 37, 35], Operations: ['68-33=35']
Exploring Operation: 37-35=2, Resulting Numbers: [26, 2]
Generated Node #0,1,0: 15:[26, 2] Operation: 37-35=2
Exploring Operation: 37-26=11, Resulting Numbers: [35, 11]
Generated Node #0,1,1: 15:[35, 11] Operation: 37-26=11
Exploring Operation: 26+37=63, Resulting Numbers: [35, 63]
Generated Node #0,1,2: 15:[35, 63] Operation: 26+37=63
Exploring Operation: 35-26=9, Resulting Numbers: [37, 9]
Generated Node #0,1,3: 15:[37, 9] Operation: 35-26=9
Moving to Node #0,0
Current State: 15:[26, 68, 4], Operations: ['37-33=4']
Exploring Operation: 68-4=64, Resulting Numbers: [26, 64]
Generated Node #0,0,0: 15:[26, 64] Operation: 68-4=64
Exploring Operation: 26-4=22, Resulting Numbers: [68, 22]
Generated Node #0,0,1: 15:[68, 22] Operation: 26-4=22
Exploring Operation: 68-26=42, Resulting Numbers: [4, 42]
Generated Node #0,0,2: 15:[4, 42] Operation: 68-26=42
Exploring Operation: 68/4=17, Resulting Numbers: [26, 17]
Generated Node #0,0,3: 15:[26, 17] Operation: 68/4=17
Moving to Node #0,2
Current State: 15:[33, 37, 42], Operations: ['68-26=42']
Exploring Operation: 37-33=4, Resulting Numbers: [42, 4]
Generated Node #0,2,0: 15:[42, 4] Operation: 37-33=4
Exploring Operation: 42-37=5, Resulting Numbers: [33, 5]
Generated Node #0,2,1: 15:[33, 5] Operation: 42-37=5
Exploring Operation: 42-33=9, Resulting Numbers: [37, 9]
Generated Node #0,2,2: 15:[37, 9] Operation: 42-33=9
Exploring Operation: 33+37=70, Resulting Numbers: [42, 70]
Generated Node #0,2,3: 15:[42, 70] Operation: 33+37=70
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[33, 5], Operations: ['68-26=42', '42-37=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[37, 9], Operations: ['68-26=42', '42-33=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,15 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[42, 4], Operations: ['68-26=42', '37-33=4']
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[42, 70], Operations: ['68-26=42', '33+37=70']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 42*70=2940, Resulting Numbers: [2940]
2940,15 unequal: No Solution
Exploring Operation: 42+70=112, Resulting Numbers: [112]
112,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 15:[26, 2], Operations: ['68-37=31', '33-31=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[26, 2], Operations: ['68-33=35', '37-35=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[26, 17], Operations: ['37-33=4', '68/4=17']
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,15 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[33, 5], Operations: ['68-37=31', '31-26=5']
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,15 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[31, 7], Operations: ['68-37=31', '33-26=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[35, 11], Operations: ['68-33=35', '37-26=11']
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,15 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[37, 9], Operations: ['68-33=35', '35-26=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[4, 42], Operations: ['37-33=4', '68-26=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,15 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[26, 64], Operations: ['37-33=4', '68-4=64']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 26*64=1664, Resulting Numbers: [1664]
1664,15 unequal: No Solution
Exploring Operation: 26+64=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[68, 22], Operations: ['37-33=4', '26-4=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[31, 59], Operations: ['68-37=31', '26+33=59']
Exploring Operation: 31+59=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 31*59=1829, Resulting Numbers: [1829]
1829,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[35, 63], Operations: ['68-33=35', '26+37=63']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,15 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,15 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
21,
57,
76,
11
] | 17 | [
"21*76=1596",
"1596/57=28",
"28-11=17"
] | Current State: 17:[21, 57, 76, 11], Operations: []
Exploring Operation: 21*76=1596, Resulting Numbers: [57, 11, 1596]
Generated Node #2: [57, 11, 1596] from Operation: 21*76=1596
Current State: 17:[57, 11, 1596], Operations: ['21*76=1596']
Exploring Operation: 1596/57=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 1596/57=28
Current State: 17:[11, 28], Operations: ['21*76=1596', '1596/57=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[21, 57, 76, 11], Operations: []
Exploring Operation: 57-21=36, Resulting Numbers: [76, 11, 36]
Generated Node #0,0: 17:[76, 11, 36] Operation: 57-21=36
Exploring Operation: 76-21=55, Resulting Numbers: [57, 11, 55]
Generated Node #0,1: 17:[57, 11, 55] Operation: 76-21=55
Exploring Operation: 76-57=19, Resulting Numbers: [21, 11, 19]
Generated Node #0,2: 17:[21, 11, 19] Operation: 76-57=19
Exploring Operation: 57-11=46, Resulting Numbers: [21, 76, 46]
Generated Node #0,3: 17:[21, 76, 46] Operation: 57-11=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[21, 11, 19], Operations: ['76-57=19']
Exploring Operation: 21-11=10, Resulting Numbers: [19, 10]
Generated Node #0,2,0: 17:[19, 10] Operation: 21-11=10
Exploring Operation: 21+11=32, Resulting Numbers: [19, 32]
Generated Node #0,2,1: 17:[19, 32] Operation: 21+11=32
Exploring Operation: 11+19=30, Resulting Numbers: [21, 30]
Generated Node #0,2,2: 17:[21, 30] Operation: 11+19=30
Exploring Operation: 19-11=8, Resulting Numbers: [21, 8]
Generated Node #0,2,3: 17:[21, 8] Operation: 19-11=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 17:[19, 10], Operations: ['76-57=19', '21-11=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,17 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[21, 8], Operations: ['76-57=19', '19-11=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,17 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[19, 32], Operations: ['76-57=19', '21+11=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,17 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[21, 30], Operations: ['76-57=19', '11+19=30']
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,17 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,17 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: 17:[76, 11, 36], Operations: ['57-21=36']
Exploring Operation: 76-11=65, Resulting Numbers: [36, 65]
Generated Node #0,0,0: 17:[36, 65] Operation: 76-11=65
Exploring Operation: 76-36=40, Resulting Numbers: [11, 40]
Generated Node #0,0,1: 17:[11, 40] Operation: 76-36=40
Exploring Operation: 36-11=25, Resulting Numbers: [76, 25]
Generated Node #0,0,2: 17:[76, 25] Operation: 36-11=25
Exploring Operation: 76+11=87, Resulting Numbers: [36, 87]
Generated Node #0,0,3: 17:[36, 87] Operation: 76+11=87
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[11, 40], Operations: ['57-21=36', '76-36=40']
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,17 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[36, 65], Operations: ['57-21=36', '76-11=65']
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,17 unequal: No Solution
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,17 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[76, 25], Operations: ['57-21=36', '36-11=25']
Exploring Operation: 76*25=1900, Resulting Numbers: [1900]
1900,17 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 76+25=101, Resulting Numbers: [101]
101,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 17:[36, 87], Operations: ['57-21=36', '76+11=87']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 36*87=3132, Resulting Numbers: [3132]
3132,17 unequal: No Solution
Exploring Operation: 36+87=123, Resulting Numbers: [123]
123,17 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: 17:[57, 11, 55], Operations: ['76-21=55']
Exploring Operation: 55-11=44, Resulting Numbers: [57, 44]
Generated Node #0,1,0: 17:[57, 44] Operation: 55-11=44
Exploring Operation: 57-55=2, Resulting Numbers: [11, 2]
Generated Node #0,1,1: 17:[11, 2] Operation: 57-55=2
Exploring Operation: 55/11=5, Resulting Numbers: [57, 5]
Generated Node #0,1,2: 17:[57, 5] Operation: 55/11=5
Exploring Operation: 57-11=46, Resulting Numbers: [55, 46]
Generated Node #0,1,3: 17:[55, 46] Operation: 57-11=46
Moving to Node #0,1,1
Current State: 17:[11, 2], Operations: ['76-21=55', '57-55=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[57, 5], Operations: ['76-21=55', '55/11=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,17 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,17 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[55, 46], Operations: ['76-21=55', '57-11=46']
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,17 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[57, 44], Operations: ['76-21=55', '55-11=44']
Exploring Operation: 57-44=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 57*44=2508, Resulting Numbers: [2508]
2508,17 unequal: No Solution
Exploring Operation: 57+44=101, Resulting Numbers: [101]
101,17 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 #0,3
Current State: 17:[21, 76, 46], Operations: ['57-11=46']
Exploring Operation: 46-21=25, Resulting Numbers: [76, 25]
Generated Node #0,3,0: 17:[76, 25] Operation: 46-21=25
Exploring Operation: 21+76=97, Resulting Numbers: [46, 97]
Generated Node #0,3,1: 17:[46, 97] Operation: 21+76=97
Exploring Operation: 76-46=30, Resulting Numbers: [21, 30]
Generated Node #0,3,2: 17:[21, 30] Operation: 76-46=30
Exploring Operation: 76-21=55, Resulting Numbers: [46, 55]
Generated Node #0,3,3: 17:[46, 55] Operation: 76-21=55
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[21, 30], Operations: ['57-11=46', '76-46=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,17 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[76, 25], Operations: ['57-11=46', '46-21=25']
Exploring Operation: 76+25=101, Resulting Numbers: [101]
101,17 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 76*25=1900, Resulting Numbers: [1900]
1900,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[46, 55], Operations: ['57-11=46', '76-21=55']
Exploring Operation: 46*55=2530, Resulting Numbers: [2530]
2530,17 unequal: No Solution
Exploring Operation: 46+55=101, Resulting Numbers: [101]
101,17 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[46, 97], Operations: ['57-11=46', '21+76=97']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 46*97=4462, Resulting Numbers: [4462]
4462,17 unequal: No Solution
Exploring Operation: 46+97=143, Resulting Numbers: [143]
143,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
26,
67,
64,
68
] | 97 | [
"26+67=93",
"68-64=4",
"93+4=97"
] | Current State: 97:[26, 67, 64, 68], Operations: []
Exploring Operation: 26+67=93, Resulting Numbers: [64, 68, 93]
Generated Node #2: [64, 68, 93] from Operation: 26+67=93
Current State: 97:[64, 68, 93], Operations: ['26+67=93']
Exploring Operation: 68-64=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 68-64=4
Current State: 97:[93, 4], Operations: ['26+67=93', '68-64=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[26, 67, 64, 68], Operations: []
Exploring Operation: 26+67=93, Resulting Numbers: [64, 68, 93]
Generated Node #0,0: 97:[64, 68, 93] Operation: 26+67=93
Exploring Operation: 26+64=90, Resulting Numbers: [67, 68, 90]
Generated Node #0,1: 97:[67, 68, 90] Operation: 26+64=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[64, 68, 93], Operations: ['26+67=93']
Exploring Operation: 64+93=157, Resulting Numbers: [68, 157]
Generated Node #0,0,0: 97:[68, 157] Operation: 64+93=157
Exploring Operation: 64+68=132, Resulting Numbers: [93, 132]
Generated Node #0,0,1: 97:[93, 132] Operation: 64+68=132
Moving to Node #0,0,1
Current State: 97:[93, 132], Operations: ['26+67=93', '64+68=132']
Exploring Operation: 93+132=225, Resulting Numbers: [225]
225,97 unequal: No Solution
Exploring Operation: 132-93=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[68, 157], Operations: ['26+67=93', '64+93=157']
Exploring Operation: 68+157=225, Resulting Numbers: [225]
225,97 unequal: No Solution
Exploring Operation: 157-68=89, Resulting Numbers: [89]
89,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[67, 68, 90], Operations: ['26+64=90']
Exploring Operation: 67+90=157, Resulting Numbers: [68, 157]
Generated Node #0,1,0: 97:[68, 157] Operation: 67+90=157
Exploring Operation: 67+68=135, Resulting Numbers: [90, 135]
Generated Node #0,1,1: 97:[90, 135] Operation: 67+68=135
Moving to Node #0,1,1
Current State: 97:[90, 135], Operations: ['26+64=90', '67+68=135']
Exploring Operation: 90+135=225, Resulting Numbers: [225]
225,97 unequal: No Solution
Exploring Operation: 135-90=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[68, 157], Operations: ['26+64=90', '67+90=157']
Exploring Operation: 68+157=225, Resulting Numbers: [225]
225,97 unequal: No Solution
Exploring Operation: 157-68=89, Resulting Numbers: [89]
89,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
78,
50,
91,
15
] | 52 | [
"78+50=128",
"91-15=76",
"128-76=52"
] | Current State: 52:[78, 50, 91, 15], Operations: []
Exploring Operation: 78+50=128, Resulting Numbers: [91, 15, 128]
Generated Node #2: [91, 15, 128] from Operation: 78+50=128
Current State: 52:[91, 15, 128], Operations: ['78+50=128']
Exploring Operation: 91-15=76, Resulting Numbers: [128, 76]
Generated Node #3: [128, 76] from Operation: 91-15=76
Current State: 52:[128, 76], Operations: ['78+50=128', '91-15=76']
Exploring Operation: 128-76=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[78, 50, 91, 15], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [50, 15, 13]
Generated Node #0,0: 52:[50, 15, 13] Operation: 91-78=13
Exploring Operation: 78-50=28, Resulting Numbers: [91, 15, 28]
Generated Node #0,1: 52:[91, 15, 28] Operation: 78-50=28
Exploring Operation: 78-15=63, Resulting Numbers: [50, 91, 63]
Generated Node #0,2: 52:[50, 91, 63] Operation: 78-15=63
Exploring Operation: 91-50=41, Resulting Numbers: [78, 15, 41]
Generated Node #0,3: 52:[78, 15, 41] Operation: 91-50=41
Exploring Operation: 91-15=76, Resulting Numbers: [78, 50, 76]
Generated Node #0,4: 52:[78, 50, 76] Operation: 91-15=76
Moving to Node #0,0
Current State: 52:[50, 15, 13], Operations: ['91-78=13']
Exploring Operation: 15+13=28, Resulting Numbers: [50, 28]
Generated Node #0,0,0: 52:[50, 28] Operation: 15+13=28
Exploring Operation: 50+15=65, Resulting Numbers: [13, 65]
Generated Node #0,0,1: 52:[13, 65] Operation: 50+15=65
Exploring Operation: 50-15=35, Resulting Numbers: [13, 35]
Generated Node #0,0,2: 52:[13, 35] Operation: 50-15=35
Exploring Operation: 15-13=2, Resulting Numbers: [50, 2]
Generated Node #0,0,3: 52:[50, 2] Operation: 15-13=2
Exploring Operation: 50+13=63, Resulting Numbers: [15, 63]
Generated Node #0,0,4: 52:[15, 63] Operation: 50+13=63
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[50, 2], Operations: ['91-78=13', '15-13=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[78, 50, 91, 15], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [50, 15, 13]
Generated Node #0,0: 52:[50, 15, 13] Operation: 91-78=13
Moving to Node #0,0
Current State: 52:[50, 15, 13], Operations: ['91-78=13']
Exploring Operation: 15-13=2, Resulting Numbers: [50, 2]
Generated Node #0,0,3: 52:[50, 2] Operation: 15-13=2
Moving to Node #0,0,3
Current State: 52:[50, 2], Operations: ['91-78=13', '15-13=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
4,
92,
4,
8
] | 16 | [
"4+92=96",
"96/4=24",
"24-8=16"
] | Current State: 16:[4, 92, 4, 8], Operations: []
Exploring Operation: 4+92=96, Resulting Numbers: [8, 96]
Generated Node #2: [8, 96] from Operation: 4+92=96
Current State: 16:[8, 96], Operations: ['4+92=96']
Exploring Operation: 96/4=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 96/4=24
Current State: 16:[8, 24], Operations: ['4+92=96', '96/4=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[4, 92, 4, 8], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [4, 4, 84]
Generated Node #0,0: 16:[4, 4, 84] Operation: 92-8=84
Exploring Operation: 92-4=88, Resulting Numbers: [4, 8, 88]
Generated Node #0,1: 16:[4, 8, 88] Operation: 92-4=88
Exploring Operation: 92-4=88, Resulting Numbers: [4, 8, 88]
Generated Node #0,2: 16:[4, 8, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [4, 8, 23]
Generated Node #0,3: 16:[4, 8, 23] Operation: 92/4=23
Exploring Operation: 92/4=23, Resulting Numbers: [4, 8, 23]
Generated Node #0,4: 16:[4, 8, 23] Operation: 92/4=23
Moving to Node #0,3
Current State: 16:[4, 8, 23], Operations: ['92/4=23']
Exploring Operation: 8-4=4, Resulting Numbers: [23, 4]
Generated Node #0,3,0: 16:[23, 4] Operation: 8-4=4
Exploring Operation: 23-8=15, Resulting Numbers: [4, 15]
Generated Node #0,3,1: 16:[4, 15] Operation: 23-8=15
Exploring Operation: 4+8=12, Resulting Numbers: [23, 12]
Generated Node #0,3,2: 16:[23, 12] Operation: 4+8=12
Exploring Operation: 8/4=2, Resulting Numbers: [23, 2]
Generated Node #0,3,3: 16:[23, 2] Operation: 8/4=2
Exploring Operation: 23-4=19, Resulting Numbers: [8, 19]
Generated Node #0,3,4: 16:[8, 19] Operation: 23-4=19
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[4, 15], Operations: ['92/4=23', '23-8=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 16:[8, 19], Operations: ['92/4=23', '23-4=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,16 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 16:[23, 4], Operations: ['92/4=23', '8-4=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[23, 2], Operations: ['92/4=23', '8/4=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[23, 12], Operations: ['92/4=23', '4+8=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,16 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,16 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: 16:[4, 8, 23], Operations: ['92/4=23']
Exploring Operation: 8/4=2, Resulting Numbers: [23, 2]
Generated Node #0,4,0: 16:[23, 2] Operation: 8/4=2
Exploring Operation: 4+8=12, Resulting Numbers: [23, 12]
Generated Node #0,4,1: 16:[23, 12] Operation: 4+8=12
Exploring Operation: 8-4=4, Resulting Numbers: [23, 4]
Generated Node #0,4,2: 16:[23, 4] Operation: 8-4=4
Exploring Operation: 23-4=19, Resulting Numbers: [8, 19]
Generated Node #0,4,3: 16:[8, 19] Operation: 23-4=19
Exploring Operation: 23-8=15, Resulting Numbers: [4, 15]
Generated Node #0,4,4: 16:[4, 15] Operation: 23-8=15
Moving to Node #0,0
Current State: 16:[4, 4, 84], Operations: ['92-8=84']
Exploring Operation: 84-4=80, Resulting Numbers: [4, 80]
Generated Node #0,0,0: 16:[4, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [4, 21]
Generated Node #0,0,1: 16:[4, 21] Operation: 84/4=21
Exploring Operation: 4+4=8, Resulting Numbers: [84, 8]
Generated Node #0,0,2: 16:[84, 8] Operation: 4+4=8
Exploring Operation: 84-4=80, Resulting Numbers: [4, 80]
Generated Node #0,0,3: 16:[4, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [4, 21]
Generated Node #0,0,4: 16:[4, 21] Operation: 84/4=21
Moving to Node #0,1
Current State: 16:[4, 8, 88], Operations: ['92-4=88']
Exploring Operation: 88/4=22, Resulting Numbers: [8, 22]
Generated Node #0,1,0: 16:[8, 22] Operation: 88/4=22
Exploring Operation: 88/8=11, Resulting Numbers: [4, 11]
Generated Node #0,1,1: 16:[4, 11] Operation: 88/8=11
Exploring Operation: 8-4=4, Resulting Numbers: [88, 4]
Generated Node #0,1,2: 16:[88, 4] Operation: 8-4=4
Exploring Operation: 88-8=80, Resulting Numbers: [4, 80]
Generated Node #0,1,3: 16:[4, 80] Operation: 88-8=80
Exploring Operation: 88-4=84, Resulting Numbers: [8, 84]
Generated Node #0,1,4: 16:[8, 84] Operation: 88-4=84
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[4, 11], Operations: ['92-4=88', '88/8=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,16 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[8, 22], Operations: ['92-4=88', '88/4=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,16 unequal: No Solution
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 16:[4, 80], Operations: ['92-4=88', '88-8=80']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,16 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 16:[8, 84], Operations: ['92-4=88', '88-4=84']
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,16 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[88, 4], Operations: ['92-4=88', '8-4=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,16 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 88*4=352, Resulting Numbers: [352]
352,16 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: 16:[4, 8, 88], Operations: ['92-4=88']
Exploring Operation: 88-8=80, Resulting Numbers: [4, 80]
Generated Node #0,2,0: 16:[4, 80] Operation: 88-8=80
Exploring Operation: 88/8=11, Resulting Numbers: [4, 11]
Generated Node #0,2,1: 16:[4, 11] Operation: 88/8=11
Exploring Operation: 88-4=84, Resulting Numbers: [8, 84]
Generated Node #0,2,2: 16:[8, 84] Operation: 88-4=84
Exploring Operation: 88/4=22, Resulting Numbers: [8, 22]
Generated Node #0,2,3: 16:[8, 22] Operation: 88/4=22
Exploring Operation: 8-4=4, Resulting Numbers: [88, 4]
Generated Node #0,2,4: 16:[88, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[4, 11], Operations: ['92-4=88', '88/8=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,16 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[8, 22], Operations: ['92-4=88', '88/4=22']
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,16 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[4, 80], Operations: ['92-4=88', '88-8=80']
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,16 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[8, 84], Operations: ['92-4=88', '88-4=84']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,16 unequal: No Solution
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 16:[88, 4], Operations: ['92-4=88', '8-4=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,16 unequal: No Solution
Exploring Operation: 88*4=352, Resulting Numbers: [352]
352,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,4
Current State: 16:[4, 15], Operations: ['92/4=23', '23-8=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[8, 19], Operations: ['92/4=23', '23-4=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[4, 21], Operations: ['92-8=84', '84/4=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,0,4
Current State: 16:[4, 21], Operations: ['92-8=84', '84/4=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Moving to Node #0,4,0
Current State: 16:[23, 2], Operations: ['92/4=23', '8/4=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[23, 4], Operations: ['92/4=23', '8-4=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,16 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[23, 12], Operations: ['92/4=23', '4+8=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,16 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[4, 80], Operations: ['92-8=84', '84-4=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,16 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Moving to Node #0,0,3
Current State: 16:[4, 80], Operations: ['92-8=84', '84-4=80']
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,16 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,16 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[84, 8], Operations: ['92-8=84', '4+4=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,16 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,16 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,16 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
57,
37,
31,
10
] | 95 | [
"57*10=570",
"37-31=6",
"570/6=95"
] | Current State: 95:[57, 37, 31, 10], Operations: []
Exploring Operation: 57*10=570, Resulting Numbers: [37, 31, 570]
Generated Node #2: [37, 31, 570] from Operation: 57*10=570
Current State: 95:[37, 31, 570], Operations: ['57*10=570']
Exploring Operation: 37-31=6, Resulting Numbers: [570, 6]
Generated Node #3: [570, 6] from Operation: 37-31=6
Current State: 95:[570, 6], Operations: ['57*10=570', '37-31=6']
Exploring Operation: 570/6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[57, 37, 31, 10], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [31, 10, 20]
Generated Node #0,0: 95:[31, 10, 20] Operation: 57-37=20
Exploring Operation: 57-31=26, Resulting Numbers: [37, 10, 26]
Generated Node #0,1: 95:[37, 10, 26] Operation: 57-31=26
Exploring Operation: 57+31=88, Resulting Numbers: [37, 10, 88]
Generated Node #0,2: 95:[37, 10, 88] Operation: 57+31=88
Exploring Operation: 57+37=94, Resulting Numbers: [31, 10, 94]
Generated Node #0,3: 95:[31, 10, 94] Operation: 57+37=94
Exploring Operation: 37-31=6, Resulting Numbers: [57, 10, 6]
Generated Node #0,4: 95:[57, 10, 6] Operation: 37-31=6
Moving to Node #0,0
Current State: 95:[31, 10, 20], Operations: ['57-37=20']
Exploring Operation: 20/10=2, Resulting Numbers: [31, 2]
Generated Node #0,0,0: 95:[31, 2] Operation: 20/10=2
Exploring Operation: 31-20=11, Resulting Numbers: [10, 11]
Generated Node #0,0,1: 95:[10, 11] Operation: 31-20=11
Exploring Operation: 31+10=41, Resulting Numbers: [20, 41]
Generated Node #0,0,2: 95:[20, 41] Operation: 31+10=41
Exploring Operation: 20-10=10, Resulting Numbers: [31, 10]
Generated Node #0,0,3: 95:[31, 10] Operation: 20-10=10
Exploring Operation: 31-10=21, Resulting Numbers: [20, 21]
Generated Node #0,0,4: 95:[20, 21] Operation: 31-10=21
Moving to Node #0,3
Current State: 95:[31, 10, 94], Operations: ['57+37=94']
Exploring Operation: 94-10=84, Resulting Numbers: [31, 84]
Generated Node #0,3,0: 95:[31, 84] Operation: 94-10=84
Exploring Operation: 31-10=21, Resulting Numbers: [94, 21]
Generated Node #0,3,1: 95:[94, 21] Operation: 31-10=21
Exploring Operation: 10+94=104, Resulting Numbers: [31, 104]
Generated Node #0,3,2: 95:[31, 104] Operation: 10+94=104
Exploring Operation: 31+94=125, Resulting Numbers: [10, 125]
Generated Node #0,3,3: 95:[10, 125] Operation: 31+94=125
Exploring Operation: 31+10=41, Resulting Numbers: [94, 41]
Generated Node #0,3,4: 95:[94, 41] Operation: 31+10=41
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[94, 21], Operations: ['57+37=94', '31-10=21']
Exploring Operation: 94*21=1974, Resulting Numbers: [1974]
1974,95 unequal: No Solution
Exploring Operation: 94+21=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 94-21=73, Resulting Numbers: [73]
73,95 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 #0,3,2
Current State: 95:[31, 104], Operations: ['57+37=94', '10+94=104']
Exploring Operation: 31*104=3224, Resulting Numbers: [3224]
3224,95 unequal: No Solution
Exploring Operation: 104-31=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 31+104=135, Resulting Numbers: [135]
135,95 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 #0,3,0
Current State: 95:[31, 84], Operations: ['57+37=94', '94-10=84']
Exploring Operation: 31+84=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 31*84=2604, Resulting Numbers: [2604]
2604,95 unequal: No Solution
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,95 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 #0,3,4
Current State: 95:[94, 41], Operations: ['57+37=94', '31+10=41']
Exploring Operation: 94*41=3854, Resulting Numbers: [3854]
3854,95 unequal: No Solution
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 94+41=135, Resulting Numbers: [135]
135,95 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 #0,3,3
Current State: 95:[10, 125], Operations: ['57+37=94', '31+94=125']
Exploring Operation: 10+125=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Exploring Operation: 10*125=1250, Resulting Numbers: [1250]
1250,95 unequal: No Solution
Exploring Operation: 125-10=115, Resulting Numbers: [115]
115,95 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: 95:[37, 10, 26], Operations: ['57-31=26']
Exploring Operation: 37-10=27, Resulting Numbers: [26, 27]
Generated Node #0,1,0: 95:[26, 27] Operation: 37-10=27
Exploring Operation: 26-10=16, Resulting Numbers: [37, 16]
Generated Node #0,1,1: 95:[37, 16] Operation: 26-10=16
Exploring Operation: 10+26=36, Resulting Numbers: [37, 36]
Generated Node #0,1,2: 95:[37, 36] Operation: 10+26=36
Exploring Operation: 37-26=11, Resulting Numbers: [10, 11]
Generated Node #0,1,3: 95:[10, 11] Operation: 37-26=11
Exploring Operation: 37+10=47, Resulting Numbers: [26, 47]
Generated Node #0,1,4: 95:[26, 47] Operation: 37+10=47
Moving to Node #0,2
Current State: 95:[37, 10, 88], Operations: ['57+31=88']
Exploring Operation: 37+10=47, Resulting Numbers: [88, 47]
Generated Node #0,2,0: 95:[88, 47] Operation: 37+10=47
Exploring Operation: 88-10=78, Resulting Numbers: [37, 78]
Generated Node #0,2,1: 95:[37, 78] Operation: 88-10=78
Exploring Operation: 37+88=125, Resulting Numbers: [10, 125]
Generated Node #0,2,2: 95:[10, 125] Operation: 37+88=125
Exploring Operation: 37-10=27, Resulting Numbers: [88, 27]
Generated Node #0,2,3: 95:[88, 27] Operation: 37-10=27
Exploring Operation: 10+88=98, Resulting Numbers: [37, 98]
Generated Node #0,2,4: 95:[37, 98] Operation: 10+88=98
Moving to Node #0,4
Current State: 95:[57, 10, 6], Operations: ['37-31=6']
Exploring Operation: 57+6=63, Resulting Numbers: [10, 63]
Generated Node #0,4,0: 95:[10, 63] Operation: 57+6=63
Exploring Operation: 57-10=47, Resulting Numbers: [6, 47]
Generated Node #0,4,1: 95:[6, 47] Operation: 57-10=47
Exploring Operation: 57-6=51, Resulting Numbers: [10, 51]
Generated Node #0,4,2: 95:[10, 51] Operation: 57-6=51
Exploring Operation: 10-6=4, Resulting Numbers: [57, 4]
Generated Node #0,4,3: 95:[57, 4] Operation: 10-6=4
Exploring Operation: 57+10=67, Resulting Numbers: [6, 67]
Generated Node #0,4,4: 95:[6, 67] Operation: 57+10=67
Moving to Node #0,0,4
Current State: 95:[20, 21], Operations: ['57-37=20', '31-10=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,95 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[10, 11], Operations: ['57-31=26', '37-26=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[10, 11], Operations: ['57-37=20', '31-20=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[26, 27], Operations: ['57-31=26', '37-10=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,95 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[31, 2], Operations: ['57-37=20', '20/10=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[88, 27], Operations: ['57+31=88', '37-10=27']
Exploring Operation: 88*27=2376, Resulting Numbers: [2376]
2376,95 unequal: No Solution
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[31, 10], Operations: ['57-37=20', '20-10=10']
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,95 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Moving to Node #0,2,4
Current State: 95:[37, 98], Operations: ['57+31=88', '10+88=98']
Exploring Operation: 37*98=3626, Resulting Numbers: [3626]
3626,95 unequal: No Solution
Exploring Operation: 37+98=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[37, 16], Operations: ['57-31=26', '26-10=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 37*16=592, Resulting Numbers: [592]
592,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[20, 41], Operations: ['57-37=20', '31+10=41']
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Exploring Operation: 20*41=820, Resulting Numbers: [820]
820,95 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Moving to Node #0,4,4
Current State: 95:[6, 67], Operations: ['37-31=6', '57+10=67']
Exploring Operation: 6*67=402, Resulting Numbers: [402]
402,95 unequal: No Solution
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Moving to Node #0,4,1
Current State: 95:[6, 47], Operations: ['37-31=6', '57-10=47']
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,95 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[10, 125], Operations: ['57+31=88', '37+88=125']
Exploring Operation: 10+125=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Exploring Operation: 125-10=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Exploring Operation: 10*125=1250, Resulting Numbers: [1250]
1250,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[88, 47], Operations: ['57+31=88', '37+10=47']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,95 unequal: No Solution
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,95 unequal: No Solution
Moving to Node #0,1,4
Current State: 95:[26, 47], Operations: ['57-31=26', '37+10=47']
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,95 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[37, 78], Operations: ['57+31=88', '88-10=78']
Exploring Operation: 37*78=2886, Resulting Numbers: [2886]
2886,95 unequal: No Solution
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 37+78=115, Resulting Numbers: [115]
115,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[37, 36], Operations: ['57-31=26', '10+26=36']
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,95 unequal: No Solution
Moving to Node #0,4,2
Current State: 95:[10, 51], Operations: ['37-31=6', '57-6=51']
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 10*51=510, Resulting Numbers: [510]
510,95 unequal: No Solution
Moving to Node #0,4,0
Current State: 95:[10, 63], Operations: ['37-31=6', '57+6=63']
Exploring Operation: 10*63=630, Resulting Numbers: [630]
630,95 unequal: No Solution
Exploring Operation: 10+63=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Moving to Node #0,4,3
Current State: 95:[57, 4], Operations: ['37-31=6', '10-6=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,95 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
30,
4,
88,
48
] | 64 | [
"88+48=136",
"136/4=34",
"30+34=64"
] | Current State: 64:[30, 4, 88, 48], Operations: []
Exploring Operation: 88+48=136, Resulting Numbers: [30, 4, 136]
Generated Node #2: [30, 4, 136] from Operation: 88+48=136
Current State: 64:[30, 4, 136], Operations: ['88+48=136']
Exploring Operation: 136/4=34, Resulting Numbers: [30, 34]
Generated Node #3: [30, 34] from Operation: 136/4=34
Current State: 64:[30, 34], Operations: ['88+48=136', '136/4=34']
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[30, 4, 88, 48], Operations: []
Exploring Operation: 88/4=22, Resulting Numbers: [30, 48, 22]
Generated Node #0,0: 64:[30, 48, 22] Operation: 88/4=22
Exploring Operation: 88-48=40, Resulting Numbers: [30, 4, 40]
Generated Node #0,1: 64:[30, 4, 40] Operation: 88-48=40
Exploring Operation: 88-30=58, Resulting Numbers: [4, 48, 58]
Generated Node #0,2: 64:[4, 48, 58] Operation: 88-30=58
Moving to Node #0,1
Current State: 64:[30, 4, 40], Operations: ['88-48=40']
Exploring Operation: 40-30=10, Resulting Numbers: [4, 10]
Generated Node #0,1,0: 64:[4, 10] Operation: 40-30=10
Exploring Operation: 30+40=70, Resulting Numbers: [4, 70]
Generated Node #0,1,1: 64:[4, 70] Operation: 30+40=70
Exploring Operation: 40/4=10, Resulting Numbers: [30, 10]
Generated Node #0,1,2: 64:[30, 10] Operation: 40/4=10
Moving to Node #0,2
Current State: 64:[4, 48, 58], Operations: ['88-30=58']
Exploring Operation: 58-48=10, Resulting Numbers: [4, 10]
Generated Node #0,2,0: 64:[4, 10] Operation: 58-48=10
Exploring Operation: 4+48=52, Resulting Numbers: [58, 52]
Generated Node #0,2,1: 64:[58, 52] Operation: 4+48=52
Exploring Operation: 48/4=12, Resulting Numbers: [58, 12]
Generated Node #0,2,2: 64:[58, 12] Operation: 48/4=12
Moving to Node #0,0
Current State: 64:[30, 48, 22], Operations: ['88/4=22']
Exploring Operation: 48+22=70, Resulting Numbers: [30, 70]
Generated Node #0,0,0: 64:[30, 70] Operation: 48+22=70
Exploring Operation: 48-30=18, Resulting Numbers: [22, 18]
Generated Node #0,0,1: 64:[22, 18] Operation: 48-30=18
Exploring Operation: 48-22=26, Resulting Numbers: [30, 26]
Generated Node #0,0,2: 64:[30, 26] Operation: 48-22=26
Moving to Node #0,1,0
Current State: 64:[4, 10], Operations: ['88-48=40', '40-30=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[4, 10], Operations: ['88-30=58', '58-48=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[30, 10], Operations: ['88-48=40', '40/4=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[4, 70], Operations: ['88-48=40', '30+40=70']
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,64 unequal: No Solution
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[30, 70], Operations: ['88/4=22', '48+22=70']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 30+70=100, Resulting Numbers: [100]
100,64 unequal: No Solution
Exploring Operation: 30*70=2100, Resulting Numbers: [2100]
2100,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[22, 18], Operations: ['88/4=22', '48-30=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,64 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[30, 26], Operations: ['88/4=22', '48-22=26']
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,64 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[58, 12], Operations: ['88-30=58', '48/4=12']
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,64 unequal: No Solution
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[58, 52], Operations: ['88-30=58', '4+48=52']
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 58+52=110, Resulting Numbers: [110]
110,64 unequal: No Solution
Exploring Operation: 58*52=3016, Resulting Numbers: [3016]
3016,64 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
66,
6,
5,
31
] | 73 | [
"66*6=396",
"396-31=365",
"365/5=73"
] | Current State: 73:[66, 6, 5, 31], Operations: []
Exploring Operation: 66*6=396, Resulting Numbers: [5, 31, 396]
Generated Node #2: [5, 31, 396] from Operation: 66*6=396
Current State: 73:[5, 31, 396], Operations: ['66*6=396']
Exploring Operation: 396-31=365, Resulting Numbers: [5, 365]
Generated Node #3: [5, 365] from Operation: 396-31=365
Current State: 73:[5, 365], Operations: ['66*6=396', '396-31=365']
Exploring Operation: 365/5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[66, 6, 5, 31], Operations: []
Exploring Operation: 66+5=71, Resulting Numbers: [6, 31, 71]
Generated Node #0,0: 73:[6, 31, 71] Operation: 66+5=71
Exploring Operation: 6*5=30, Resulting Numbers: [66, 31, 30]
Generated Node #0,1: 73:[66, 31, 30] Operation: 6*5=30
Exploring Operation: 6+31=37, Resulting Numbers: [66, 5, 37]
Generated Node #0,2: 73:[66, 5, 37] Operation: 6+31=37
Exploring Operation: 66+6=72, Resulting Numbers: [5, 31, 72]
Generated Node #0,3: 73:[5, 31, 72] Operation: 66+6=72
Exploring Operation: 6+5=11, Resulting Numbers: [66, 31, 11]
Generated Node #0,4: 73:[66, 31, 11] Operation: 6+5=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[66, 31, 30], Operations: ['6*5=30']
Exploring Operation: 31-30=1, Resulting Numbers: [66, 1]
Generated Node #0,1,0: 73:[66, 1] Operation: 31-30=1
Exploring Operation: 31+30=61, Resulting Numbers: [66, 61]
Generated Node #0,1,1: 73:[66, 61] Operation: 31+30=61
Exploring Operation: 66+30=96, Resulting Numbers: [31, 96]
Generated Node #0,1,2: 73:[31, 96] Operation: 66+30=96
Exploring Operation: 66+31=97, Resulting Numbers: [30, 97]
Generated Node #0,1,3: 73:[30, 97] Operation: 66+31=97
Exploring Operation: 66-30=36, Resulting Numbers: [31, 36]
Generated Node #0,1,4: 73:[31, 36] Operation: 66-30=36
Moving to Node #0,1,1
Current State: 73:[66, 61], Operations: ['6*5=30', '31+30=61']
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,73 unequal: No Solution
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[31, 96], Operations: ['6*5=30', '66+30=96']
Exploring Operation: 31*96=2976, Resulting Numbers: [2976]
2976,73 unequal: No Solution
Exploring Operation: 96-31=65, Resulting Numbers: [65]
65,73 unequal: No Solution
Exploring Operation: 31+96=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[30, 97], Operations: ['6*5=30', '66+31=97']
Exploring Operation: 30+97=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 30*97=2910, Resulting Numbers: [2910]
2910,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[66, 1], Operations: ['6*5=30', '31-30=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,73 unequal: No Solution
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,73 unequal: No Solution
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,73 unequal: No Solution
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[31, 36], Operations: ['6*5=30', '66-30=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,73 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[6, 31, 71], Operations: ['66+5=71']
Exploring Operation: 6+71=77, Resulting Numbers: [31, 77]
Generated Node #0,0,0: 73:[31, 77] Operation: 6+71=77
Exploring Operation: 31+71=102, Resulting Numbers: [6, 102]
Generated Node #0,0,1: 73:[6, 102] Operation: 31+71=102
Exploring Operation: 71-6=65, Resulting Numbers: [31, 65]
Generated Node #0,0,2: 73:[31, 65] Operation: 71-6=65
Exploring Operation: 6+31=37, Resulting Numbers: [71, 37]
Generated Node #0,0,3: 73:[71, 37] Operation: 6+31=37
Exploring Operation: 31-6=25, Resulting Numbers: [71, 25]
Generated Node #0,0,4: 73:[71, 25] Operation: 31-6=25
Moving to Node #0,0,3
Current State: 73:[71, 37], Operations: ['66+5=71', '6+31=37']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[31, 77], Operations: ['66+5=71', '6+71=77']
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 31*77=2387, Resulting Numbers: [2387]
2387,73 unequal: No Solution
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[31, 65], Operations: ['66+5=71', '71-6=65']
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 31*65=2015, Resulting Numbers: [2015]
2015,73 unequal: No Solution
Exploring Operation: 31+65=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[71, 25], Operations: ['66+5=71', '31-6=25']
Exploring Operation: 71*25=1775, Resulting Numbers: [1775]
1775,73 unequal: No Solution
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[6, 102], Operations: ['66+5=71', '31+71=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,73 unequal: No Solution
Exploring Operation: 102-6=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Exploring Operation: 6*102=612, Resulting Numbers: [612]
612,73 unequal: No Solution
Exploring Operation: 6+102=108, Resulting Numbers: [108]
108,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[66, 5, 37], Operations: ['6+31=37']
Exploring Operation: 66+5=71, Resulting Numbers: [37, 71]
Generated Node #0,2,0: 73:[37, 71] Operation: 66+5=71
Exploring Operation: 37-5=32, Resulting Numbers: [66, 32]
Generated Node #0,2,1: 73:[66, 32] Operation: 37-5=32
Exploring Operation: 5+37=42, Resulting Numbers: [66, 42]
Generated Node #0,2,2: 73:[66, 42] Operation: 5+37=42
Exploring Operation: 66-5=61, Resulting Numbers: [37, 61]
Generated Node #0,2,3: 73:[37, 61] Operation: 66-5=61
Exploring Operation: 66+37=103, Resulting Numbers: [5, 103]
Generated Node #0,2,4: 73:[5, 103] Operation: 66+37=103
Moving to Node #0,2,0
Current State: 73:[37, 71], Operations: ['6+31=37', '66+5=71']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 37*71=2627, Resulting Numbers: [2627]
2627,73 unequal: No Solution
Exploring Operation: 37+71=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[66, 42], Operations: ['6+31=37', '5+37=42']
Exploring Operation: 66*42=2772, Resulting Numbers: [2772]
2772,73 unequal: No Solution
Exploring Operation: 66+42=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[66, 32], Operations: ['6+31=37', '37-5=32']
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 66*32=2112, Resulting Numbers: [2112]
2112,73 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[37, 61], Operations: ['6+31=37', '66-5=61']
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,73 unequal: No Solution
Exploring Operation: 37*61=2257, Resulting Numbers: [2257]
2257,73 unequal: No Solution
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[5, 103], Operations: ['6+31=37', '66+37=103']
Exploring Operation: 5*103=515, Resulting Numbers: [515]
515,73 unequal: No Solution
Exploring Operation: 5+103=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 103-5=98, Resulting Numbers: [98]
98,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[5, 31, 72], Operations: ['66+6=72']
Exploring Operation: 31-5=26, Resulting Numbers: [72, 26]
Generated Node #0,3,0: 73:[72, 26] Operation: 31-5=26
Exploring Operation: 5+31=36, Resulting Numbers: [72, 36]
Generated Node #0,3,1: 73:[72, 36] Operation: 5+31=36
Exploring Operation: 72-5=67, Resulting Numbers: [31, 67]
Generated Node #0,3,2: 73:[31, 67] Operation: 72-5=67
Exploring Operation: 5+72=77, Resulting Numbers: [31, 77]
Generated Node #0,3,3: 73:[31, 77] Operation: 5+72=77
Exploring Operation: 5*31=155, Resulting Numbers: [72, 155]
Generated Node #0,3,4: 73:[72, 155] Operation: 5*31=155
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 73:[72, 36], Operations: ['66+6=72', '5+31=36']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 73:[31, 77], Operations: ['66+6=72', '5+72=77']
Exploring Operation: 31*77=2387, Resulting Numbers: [2387]
2387,73 unequal: No Solution
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[72, 26], Operations: ['66+6=72', '31-5=26']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 73:[31, 67], Operations: ['66+6=72', '72-5=67']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,73 unequal: No Solution
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 73:[72, 155], Operations: ['66+6=72', '5*31=155']
Exploring Operation: 72*155=11160, Resulting Numbers: [11160]
11160,73 unequal: No Solution
Exploring Operation: 155-72=83, Resulting Numbers: [83]
83,73 unequal: No Solution
Exploring Operation: 72+155=227, Resulting Numbers: [227]
227,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 73:[66, 31, 11], Operations: ['6+5=11']
Exploring Operation: 66+31=97, Resulting Numbers: [11, 97]
Generated Node #0,4,0: 73:[11, 97] Operation: 66+31=97
Exploring Operation: 66+11=77, Resulting Numbers: [31, 77]
Generated Node #0,4,1: 73:[31, 77] Operation: 66+11=77
Exploring Operation: 31+11=42, Resulting Numbers: [66, 42]
Generated Node #0,4,2: 73:[66, 42] Operation: 31+11=42
Exploring Operation: 31-11=20, Resulting Numbers: [66, 20]
Generated Node #0,4,3: 73:[66, 20] Operation: 31-11=20
Exploring Operation: 66-11=55, Resulting Numbers: [31, 55]
Generated Node #0,4,4: 73:[31, 55] Operation: 66-11=55
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 73:[66, 42], Operations: ['6+5=11', '31+11=42']
Exploring Operation: 66+42=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,73 unequal: No Solution
Exploring Operation: 66*42=2772, Resulting Numbers: [2772]
2772,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 73:[31, 77], Operations: ['6+5=11', '66+11=77']
Exploring Operation: 31*77=2387, Resulting Numbers: [2387]
2387,73 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 73:[66, 20], Operations: ['6+5=11', '31-11=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 73:[31, 55], Operations: ['6+5=11', '66-11=55']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,73 unequal: No Solution
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 31*55=1705, Resulting Numbers: [1705]
1705,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 73:[11, 97], Operations: ['6+5=11', '66+31=97']
Exploring Operation: 11*97=1067, Resulting Numbers: [1067]
1067,73 unequal: No Solution
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 11+97=108, Resulting Numbers: [108]
108,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
60,
75,
96,
68
] | 63 | [
"68-60=8",
"96/8=12",
"75-12=63"
] | Current State: 63:[60, 75, 96, 68], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [75, 96, 8]
Generated Node #2: [75, 96, 8] from Operation: 68-60=8
Current State: 63:[75, 96, 8], Operations: ['68-60=8']
Exploring Operation: 96/8=12, Resulting Numbers: [75, 12]
Generated Node #3: [75, 12] from Operation: 96/8=12
Current State: 63:[75, 12], Operations: ['68-60=8', '96/8=12']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[60, 75, 96, 68], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [60, 96, 7]
Generated Node #0,0: 63:[60, 96, 7] Operation: 75-68=7
Exploring Operation: 96-60=36, Resulting Numbers: [75, 68, 36]
Generated Node #0,1: 63:[75, 68, 36] Operation: 96-60=36
Exploring Operation: 96-75=21, Resulting Numbers: [60, 68, 21]
Generated Node #0,2: 63:[60, 68, 21] Operation: 96-75=21
Exploring Operation: 75-60=15, Resulting Numbers: [96, 68, 15]
Generated Node #0,3: 63:[96, 68, 15] Operation: 75-60=15
Exploring Operation: 96-68=28, Resulting Numbers: [60, 75, 28]
Generated Node #0,4: 63:[60, 75, 28] Operation: 96-68=28
Moving to Node #0,2
Current State: 63:[60, 68, 21], Operations: ['96-75=21']
Exploring Operation: 68+21=89, Resulting Numbers: [60, 89]
Generated Node #0,2,0: 63:[60, 89] Operation: 68+21=89
Exploring Operation: 60+21=81, Resulting Numbers: [68, 81]
Generated Node #0,2,1: 63:[68, 81] Operation: 60+21=81
Exploring Operation: 68-60=8, Resulting Numbers: [21, 8]
Generated Node #0,2,2: 63:[21, 8] Operation: 68-60=8
Exploring Operation: 68-21=47, Resulting Numbers: [60, 47]
Generated Node #0,2,3: 63:[60, 47] Operation: 68-21=47
Exploring Operation: 60-21=39, Resulting Numbers: [68, 39]
Generated Node #0,2,4: 63:[68, 39] Operation: 60-21=39
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[21, 8], Operations: ['96-75=21', '68-60=8']
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,63 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 63:[60, 47], Operations: ['96-75=21', '68-21=47']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[68, 81], Operations: ['96-75=21', '60+21=81']
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,63 unequal: No Solution
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,63 unequal: No Solution
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 63:[68, 39], Operations: ['96-75=21', '60-21=39']
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[60, 89], Operations: ['96-75=21', '68+21=89']
Exploring Operation: 60+89=149, Resulting Numbers: [149]
149,63 unequal: No Solution
Exploring Operation: 60*89=5340, Resulting Numbers: [5340]
5340,63 unequal: No Solution
Exploring Operation: 89-60=29, Resulting Numbers: [29]
29,63 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: 63:[60, 75, 28], Operations: ['96-68=28']
Exploring Operation: 60-28=32, Resulting Numbers: [75, 32]
Generated Node #0,4,0: 63:[75, 32] Operation: 60-28=32
Exploring Operation: 75+28=103, Resulting Numbers: [60, 103]
Generated Node #0,4,1: 63:[60, 103] Operation: 75+28=103
Exploring Operation: 60+28=88, Resulting Numbers: [75, 88]
Generated Node #0,4,2: 63:[75, 88] Operation: 60+28=88
Exploring Operation: 75-28=47, Resulting Numbers: [60, 47]
Generated Node #0,4,3: 63:[60, 47] Operation: 75-28=47
Exploring Operation: 75-60=15, Resulting Numbers: [28, 15]
Generated Node #0,4,4: 63:[28, 15] Operation: 75-60=15
Moving to Node #0,1
Current State: 63:[75, 68, 36], Operations: ['96-60=36']
Exploring Operation: 68-36=32, Resulting Numbers: [75, 32]
Generated Node #0,1,0: 63:[75, 32] Operation: 68-36=32
Exploring Operation: 68+36=104, Resulting Numbers: [75, 104]
Generated Node #0,1,1: 63:[75, 104] Operation: 68+36=104
Exploring Operation: 75-36=39, Resulting Numbers: [68, 39]
Generated Node #0,1,2: 63:[68, 39] Operation: 75-36=39
Exploring Operation: 75-68=7, Resulting Numbers: [36, 7]
Generated Node #0,1,3: 63:[36, 7] Operation: 75-68=7
Exploring Operation: 75+36=111, Resulting Numbers: [68, 111]
Generated Node #0,1,4: 63:[68, 111] Operation: 75+36=111
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 63:[36, 7], Operations: ['96-60=36', '75-68=7']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,63 unequal: No Solution
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[75, 32], Operations: ['96-60=36', '68-36=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[68, 39], Operations: ['96-60=36', '75-36=39']
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[75, 104], Operations: ['96-60=36', '68+36=104']
Exploring Operation: 75*104=7800, Resulting Numbers: [7800]
7800,63 unequal: No Solution
Exploring Operation: 75+104=179, Resulting Numbers: [179]
179,63 unequal: No Solution
Exploring Operation: 104-75=29, Resulting Numbers: [29]
29,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 63:[68, 111], Operations: ['96-60=36', '75+36=111']
Exploring Operation: 68+111=179, Resulting Numbers: [179]
179,63 unequal: No Solution
Exploring Operation: 68*111=7548, Resulting Numbers: [7548]
7548,63 unequal: No Solution
Exploring Operation: 111-68=43, Resulting Numbers: [43]
43,63 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: 63:[60, 96, 7], Operations: ['75-68=7']
Exploring Operation: 96-7=89, Resulting Numbers: [60, 89]
Generated Node #0,0,0: 63:[60, 89] Operation: 96-7=89
Exploring Operation: 60+7=67, Resulting Numbers: [96, 67]
Generated Node #0,0,1: 63:[96, 67] Operation: 60+7=67
Exploring Operation: 96-60=36, Resulting Numbers: [7, 36]
Generated Node #0,0,2: 63:[7, 36] Operation: 96-60=36
Exploring Operation: 60-7=53, Resulting Numbers: [96, 53]
Generated Node #0,0,3: 63:[96, 53] Operation: 60-7=53
Exploring Operation: 96+7=103, Resulting Numbers: [60, 103]
Generated Node #0,0,4: 63:[60, 103] Operation: 96+7=103
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[7, 36], Operations: ['75-68=7', '96-60=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,63 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[60, 89], Operations: ['75-68=7', '96-7=89']
Exploring Operation: 89-60=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 60+89=149, Resulting Numbers: [149]
149,63 unequal: No Solution
Exploring Operation: 60*89=5340, Resulting Numbers: [5340]
5340,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[96, 67], Operations: ['75-68=7', '60+7=67']
Exploring Operation: 96*67=6432, Resulting Numbers: [6432]
6432,63 unequal: No Solution
Exploring Operation: 96-67=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 96+67=163, Resulting Numbers: [163]
163,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 63:[96, 53], Operations: ['75-68=7', '60-7=53']
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 96*53=5088, Resulting Numbers: [5088]
5088,63 unequal: No Solution
Exploring Operation: 96+53=149, Resulting Numbers: [149]
149,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 63:[60, 103], Operations: ['75-68=7', '96+7=103']
Exploring Operation: 103-60=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 60*103=6180, Resulting Numbers: [6180]
6180,63 unequal: No Solution
Exploring Operation: 60+103=163, Resulting Numbers: [163]
163,63 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: 63:[96, 68, 15], Operations: ['75-60=15']
Exploring Operation: 96+15=111, Resulting Numbers: [68, 111]
Generated Node #0,3,0: 63:[68, 111] Operation: 96+15=111
Exploring Operation: 96-68=28, Resulting Numbers: [15, 28]
Generated Node #0,3,1: 63:[15, 28] Operation: 96-68=28
Exploring Operation: 68+15=83, Resulting Numbers: [96, 83]
Generated Node #0,3,2: 63:[96, 83] Operation: 68+15=83
Exploring Operation: 68-15=53, Resulting Numbers: [96, 53]
Generated Node #0,3,3: 63:[96, 53] Operation: 68-15=53
Exploring Operation: 96-15=81, Resulting Numbers: [68, 81]
Generated Node #0,3,4: 63:[68, 81] Operation: 96-15=81
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 63:[15, 28], Operations: ['75-60=15', '96-68=28']
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,63 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 63:[68, 81], Operations: ['75-60=15', '96-15=81']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,63 unequal: No Solution
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 63:[96, 53], Operations: ['75-60=15', '68-15=53']
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 96+53=149, Resulting Numbers: [149]
149,63 unequal: No Solution
Exploring Operation: 96*53=5088, Resulting Numbers: [5088]
5088,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 63:[68, 111], Operations: ['75-60=15', '96+15=111']
Exploring Operation: 68+111=179, Resulting Numbers: [179]
179,63 unequal: No Solution
Exploring Operation: 68*111=7548, Resulting Numbers: [7548]
7548,63 unequal: No Solution
Exploring Operation: 111-68=43, Resulting Numbers: [43]
43,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 63:[96, 83], Operations: ['75-60=15', '68+15=83']
Exploring Operation: 96*83=7968, Resulting Numbers: [7968]
7968,63 unequal: No Solution
Exploring Operation: 96+83=179, Resulting Numbers: [179]
179,63 unequal: No Solution
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,4
Current State: 63:[28, 15], Operations: ['96-68=28', '75-60=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,63 unequal: No Solution
Moving to Node #0,4,3
Current State: 63:[60, 47], Operations: ['96-68=28', '75-28=47']
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,63 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Moving to Node #0,4,0
Current State: 63:[75, 32], Operations: ['96-68=28', '60-28=32']
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,63 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,63 unequal: No Solution
Moving to Node #0,4,2
Current State: 63:[75, 88], Operations: ['96-68=28', '60+28=88']
Exploring Operation: 75*88=6600, Resulting Numbers: [6600]
6600,63 unequal: No Solution
Exploring Operation: 75+88=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Moving to Node #0,4,1
Current State: 63:[60, 103], Operations: ['96-68=28', '75+28=103']
Exploring Operation: 60+103=163, Resulting Numbers: [163]
163,63 unequal: No Solution
Exploring Operation: 103-60=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 60*103=6180, Resulting Numbers: [6180]
6180,63 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
43,
24,
5
] | 36 | [
"24/2=12",
"43+5=48",
"48-12=36"
] | Current State: 36:[2, 43, 24, 5], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [43, 5, 12]
Generated Node #2: [43, 5, 12] from Operation: 24/2=12
Current State: 36:[43, 5, 12], Operations: ['24/2=12']
Exploring Operation: 43+5=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 43+5=48
Current State: 36:[12, 48], Operations: ['24/2=12', '43+5=48']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[2, 43, 24, 5], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [43, 5, 12]
Generated Node #0,0: 36:[43, 5, 12] Operation: 24/2=12
Exploring Operation: 43-24=19, Resulting Numbers: [2, 5, 19]
Generated Node #0,1: 36:[2, 5, 19] Operation: 43-24=19
Moving to Node #0,1
Current State: 36:[2, 5, 19], Operations: ['43-24=19']
Exploring Operation: 5-2=3, Resulting Numbers: [19, 3]
Generated Node #0,1,0: 36:[19, 3] Operation: 5-2=3
Exploring Operation: 2+5=7, Resulting Numbers: [19, 7]
Generated Node #0,1,1: 36:[19, 7] Operation: 2+5=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[19, 3], Operations: ['43-24=19', '5-2=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[19, 7], Operations: ['43-24=19', '2+5=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[43, 5, 12], Operations: ['24/2=12']
Exploring Operation: 43-5=38, Resulting Numbers: [12, 38]
Generated Node #0,0,0: 36:[12, 38] Operation: 43-5=38
Exploring Operation: 43-12=31, Resulting Numbers: [5, 31]
Generated Node #0,0,1: 36:[5, 31] Operation: 43-12=31
Moving to Node #0,0,0
Current State: 36:[12, 38], Operations: ['24/2=12', '43-5=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[5, 31], Operations: ['24/2=12', '43-12=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[2, 43, 24, 5], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [43, 5, 12]
Generated Node #0,0: 36:[43, 5, 12] Operation: 24/2=12
Moving to Node #0,0
Current State: 36:[43, 5, 12], Operations: ['24/2=12']
Exploring Operation: 43-12=31, Resulting Numbers: [5, 31]
Generated Node #0,0,1: 36:[5, 31] Operation: 43-12=31
Moving to Node #0,0,1
Current State: 36:[5, 31], Operations: ['24/2=12', '43-12=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
74,
79,
63,
6
] | 93 | [
"79-74=5",
"6*5=30",
"63+30=93"
] | Current State: 93:[74, 79, 63, 6], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [63, 6, 5]
Generated Node #2: [63, 6, 5] from Operation: 79-74=5
Current State: 93:[63, 6, 5], Operations: ['79-74=5']
Exploring Operation: 6*5=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 6*5=30
Current State: 93:[63, 30], Operations: ['79-74=5', '6*5=30']
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[74, 79, 63, 6], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [63, 6, 5]
Generated Node #0,0: 93:[63, 6, 5] Operation: 79-74=5
Exploring Operation: 79+6=85, Resulting Numbers: [74, 63, 85]
Generated Node #0,1: 93:[74, 63, 85] Operation: 79+6=85
Exploring Operation: 79-63=16, Resulting Numbers: [74, 6, 16]
Generated Node #0,2: 93:[74, 6, 16] Operation: 79-63=16
Exploring Operation: 74+6=80, Resulting Numbers: [79, 63, 80]
Generated Node #0,3: 93:[79, 63, 80] Operation: 74+6=80
Exploring Operation: 74-63=11, Resulting Numbers: [79, 6, 11]
Generated Node #0,4: 93:[79, 6, 11] Operation: 74-63=11
Moving to Node #0,4
Current State: 93:[79, 6, 11], Operations: ['74-63=11']
Exploring Operation: 79-11=68, Resulting Numbers: [6, 68]
Generated Node #0,4,0: 93:[6, 68] Operation: 79-11=68
Exploring Operation: 79+6=85, Resulting Numbers: [11, 85]
Generated Node #0,4,1: 93:[11, 85] Operation: 79+6=85
Exploring Operation: 11-6=5, Resulting Numbers: [79, 5]
Generated Node #0,4,2: 93:[79, 5] Operation: 11-6=5
Exploring Operation: 79+11=90, Resulting Numbers: [6, 90]
Generated Node #0,4,3: 93:[6, 90] Operation: 79+11=90
Exploring Operation: 79-6=73, Resulting Numbers: [11, 73]
Generated Node #0,4,4: 93:[11, 73] Operation: 79-6=73
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 93:[6, 90], Operations: ['74-63=11', '79+11=90']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 6*90=540, Resulting Numbers: [540]
540,93 unequal: No Solution
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 93:[11, 85], Operations: ['74-63=11', '79+6=85']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 11*85=935, Resulting Numbers: [935]
935,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 93:[79, 5], Operations: ['74-63=11', '11-6=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,93 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 93:[6, 68], Operations: ['74-63=11', '79-11=68']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 93:[11, 73], Operations: ['74-63=11', '79-6=73']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 11*73=803, Resulting Numbers: [803]
803,93 unequal: No Solution
Exploring Operation: 11+73=84, Resulting Numbers: [84]
84,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 93:[74, 6, 16], Operations: ['79-63=16']
Exploring Operation: 16-6=10, Resulting Numbers: [74, 10]
Generated Node #0,2,0: 93:[74, 10] Operation: 16-6=10
Exploring Operation: 74+6=80, Resulting Numbers: [16, 80]
Generated Node #0,2,1: 93:[16, 80] Operation: 74+6=80
Exploring Operation: 6+16=22, Resulting Numbers: [74, 22]
Generated Node #0,2,2: 93:[74, 22] Operation: 6+16=22
Exploring Operation: 74+16=90, Resulting Numbers: [6, 90]
Generated Node #0,2,3: 93:[6, 90] Operation: 74+16=90
Exploring Operation: 6*16=96, Resulting Numbers: [74, 96]
Generated Node #0,2,4: 93:[74, 96] Operation: 6*16=96
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[6, 90], Operations: ['79-63=16', '74+16=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 6*90=540, Resulting Numbers: [540]
540,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 93:[74, 96], Operations: ['79-63=16', '6*16=96']
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 74+96=170, Resulting Numbers: [170]
170,93 unequal: No Solution
Exploring Operation: 74*96=7104, Resulting Numbers: [7104]
7104,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[74, 10], Operations: ['79-63=16', '16-6=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[16, 80], Operations: ['79-63=16', '74+6=80']
Exploring Operation: 16+80=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 16*80=1280, Resulting Numbers: [1280]
1280,93 unequal: No Solution
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[74, 22], Operations: ['79-63=16', '6+16=22']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 74*22=1628, Resulting Numbers: [1628]
1628,93 unequal: No Solution
Exploring Operation: 74+22=96, Resulting Numbers: [96]
96,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 93:[63, 6, 5], Operations: ['79-74=5']
Exploring Operation: 63+6=69, Resulting Numbers: [5, 69]
Generated Node #0,0,0: 93:[5, 69] Operation: 63+6=69
Exploring Operation: 63+5=68, Resulting Numbers: [6, 68]
Generated Node #0,0,1: 93:[6, 68] Operation: 63+5=68
Exploring Operation: 63-6=57, Resulting Numbers: [5, 57]
Generated Node #0,0,2: 93:[5, 57] Operation: 63-6=57
Exploring Operation: 63-5=58, Resulting Numbers: [6, 58]
Generated Node #0,0,3: 93:[6, 58] Operation: 63-5=58
Exploring Operation: 6*5=30, Resulting Numbers: [63, 30]
Generated Node #0,0,4: 93:[63, 30] Operation: 6*5=30
Moving to Node #0,1
Current State: 93:[74, 63, 85], Operations: ['79+6=85']
Exploring Operation: 85-74=11, Resulting Numbers: [63, 11]
Generated Node #0,1,0: 93:[63, 11] Operation: 85-74=11
Exploring Operation: 74+63=137, Resulting Numbers: [85, 137]
Generated Node #0,1,1: 93:[85, 137] Operation: 74+63=137
Exploring Operation: 63+85=148, Resulting Numbers: [74, 148]
Generated Node #0,1,2: 93:[74, 148] Operation: 63+85=148
Exploring Operation: 85-63=22, Resulting Numbers: [74, 22]
Generated Node #0,1,3: 93:[74, 22] Operation: 85-63=22
Exploring Operation: 74-63=11, Resulting Numbers: [85, 11]
Generated Node #0,1,4: 93:[85, 11] Operation: 74-63=11
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 93:[85, 11], Operations: ['79+6=85', '74-63=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 85*11=935, Resulting Numbers: [935]
935,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[74, 22], Operations: ['79+6=85', '85-63=22']
Exploring Operation: 74+22=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 74*22=1628, Resulting Numbers: [1628]
1628,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[63, 11], Operations: ['79+6=85', '85-74=11']
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[85, 137], Operations: ['79+6=85', '74+63=137']
Exploring Operation: 137-85=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 85*137=11645, Resulting Numbers: [11645]
11645,93 unequal: No Solution
Exploring Operation: 85+137=222, Resulting Numbers: [222]
222,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[74, 148], Operations: ['79+6=85', '63+85=148']
Exploring Operation: 148-74=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 148/74=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 74*148=10952, Resulting Numbers: [10952]
10952,93 unequal: No Solution
Exploring Operation: 74+148=222, Resulting Numbers: [222]
222,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 93:[79, 63, 80], Operations: ['74+6=80']
Exploring Operation: 79+63=142, Resulting Numbers: [80, 142]
Generated Node #0,3,0: 93:[80, 142] Operation: 79+63=142
Exploring Operation: 80-79=1, Resulting Numbers: [63, 1]
Generated Node #0,3,1: 93:[63, 1] Operation: 80-79=1
Exploring Operation: 79-63=16, Resulting Numbers: [80, 16]
Generated Node #0,3,2: 93:[80, 16] Operation: 79-63=16
Exploring Operation: 63+80=143, Resulting Numbers: [79, 143]
Generated Node #0,3,3: 93:[79, 143] Operation: 63+80=143
Exploring Operation: 80-63=17, Resulting Numbers: [79, 17]
Generated Node #0,3,4: 93:[79, 17] Operation: 80-63=17
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 93:[80, 16], Operations: ['74+6=80', '79-63=16']
Exploring Operation: 80*16=1280, Resulting Numbers: [1280]
1280,93 unequal: No Solution
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 93:[79, 17], Operations: ['74+6=80', '80-63=17']
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,93 unequal: No Solution
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 93:[63, 1], Operations: ['74+6=80', '80-79=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[80, 142], Operations: ['74+6=80', '79+63=142']
Exploring Operation: 142-80=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 80*142=11360, Resulting Numbers: [11360]
11360,93 unequal: No Solution
Exploring Operation: 80+142=222, Resulting Numbers: [222]
222,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 93:[79, 143], Operations: ['74+6=80', '63+80=143']
Exploring Operation: 143-79=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 79*143=11297, Resulting Numbers: [11297]
11297,93 unequal: No Solution
Exploring Operation: 79+143=222, Resulting Numbers: [222]
222,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 93:[5, 69], Operations: ['79-74=5', '63+6=69']
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 5*69=345, Resulting Numbers: [345]
345,93 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[5, 57], Operations: ['79-74=5', '63-6=57']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,93 unequal: No Solution
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[6, 68], Operations: ['79-74=5', '63+5=68']
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,93 unequal: No Solution
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[6, 58], Operations: ['79-74=5', '63-5=58']
Exploring Operation: 6*58=348, Resulting Numbers: [348]
348,93 unequal: No Solution
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[63, 30], Operations: ['79-74=5', '6*5=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[74, 79, 63, 6], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [63, 6, 5]
Generated Node #0,0: 93:[63, 6, 5] Operation: 79-74=5
Moving to Node #0,0
Current State: 93:[63, 6, 5], Operations: ['79-74=5']
Exploring Operation: 6*5=30, Resulting Numbers: [63, 30]
Generated Node #0,0,4: 93:[63, 30] Operation: 6*5=30
Moving to Node #0,0,4
Current State: 93:[63, 30], Operations: ['79-74=5', '6*5=30']
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.901042 | hs_5 | mult_heuristic |
[
17,
88,
11,
41
] | 16 | [
"41-17=24",
"88/11=8",
"24-8=16"
] | Current State: 16:[17, 88, 11, 41], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [88, 11, 24]
Generated Node #2: [88, 11, 24] from Operation: 41-17=24
Current State: 16:[88, 11, 24], Operations: ['41-17=24']
Exploring Operation: 88/11=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 88/11=8
Current State: 16:[24, 8], Operations: ['41-17=24', '88/11=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[17, 88, 11, 41], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [88, 11, 24]
Generated Node #0,0: 16:[88, 11, 24] Operation: 41-17=24
Exploring Operation: 88-41=47, Resulting Numbers: [17, 11, 47]
Generated Node #0,1: 16:[17, 11, 47] Operation: 88-41=47
Exploring Operation: 88/11=8, Resulting Numbers: [17, 41, 8]
Generated Node #0,2: 16:[17, 41, 8] Operation: 88/11=8
Exploring Operation: 88-17=71, Resulting Numbers: [11, 41, 71]
Generated Node #0,3: 16:[11, 41, 71] Operation: 88-17=71
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[17, 41, 8], Operations: ['88/11=8']
Exploring Operation: 41-17=24, Resulting Numbers: [8, 24]
Generated Node #0,2,0: 16:[8, 24] Operation: 41-17=24
Exploring Operation: 17-8=9, Resulting Numbers: [41, 9]
Generated Node #0,2,1: 16:[41, 9] Operation: 17-8=9
Exploring Operation: 17+8=25, Resulting Numbers: [41, 25]
Generated Node #0,2,2: 16:[41, 25] Operation: 17+8=25
Exploring Operation: 41-8=33, Resulting Numbers: [17, 33]
Generated Node #0,2,3: 16:[17, 33] Operation: 41-8=33
Moving to Node #0,2,0
Current State: 16:[8, 24], Operations: ['88/11=8', '41-17=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[17, 88, 11, 41], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [17, 41, 8]
Generated Node #0,2: 16:[17, 41, 8] Operation: 88/11=8
Moving to Node #0,2
Current State: 16:[17, 41, 8], Operations: ['88/11=8']
Exploring Operation: 41-17=24, Resulting Numbers: [8, 24]
Generated Node #0,2,0: 16:[8, 24] Operation: 41-17=24
Moving to Node #0,2,0
Current State: 16:[8, 24], Operations: ['88/11=8', '41-17=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
41,
8,
68,
68
] | 87 | [
"41+8=49",
"68+68=136",
"136-49=87"
] | Current State: 87:[41, 8, 68, 68], Operations: []
Exploring Operation: 41+8=49, Resulting Numbers: [68, 68, 49]
Generated Node #2: [68, 68, 49] from Operation: 41+8=49
Current State: 87:[68, 68, 49], Operations: ['41+8=49']
Exploring Operation: 68+68=136, Resulting Numbers: [49, 136]
Generated Node #3: [49, 136] from Operation: 68+68=136
Current State: 87:[49, 136], Operations: ['41+8=49', '68+68=136']
Exploring Operation: 136-49=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[41, 8, 68, 68], Operations: []
Exploring Operation: 68-41=27, Resulting Numbers: [8, 68, 27]
Generated Node #0,0: 87:[8, 68, 27] Operation: 68-41=27
Exploring Operation: 68-68=0, Resulting Numbers: [41, 8, 0]
Generated Node #0,1: 87:[41, 8, 0] Operation: 68-68=0
Exploring Operation: 68/68=1, Resulting Numbers: [41, 8, 1]
Generated Node #0,2: 87:[41, 8, 1] Operation: 68/68=1
Exploring Operation: 68-41=27, Resulting Numbers: [8, 68, 27]
Generated Node #0,3: 87:[8, 68, 27] Operation: 68-41=27
Moving to Node #0,2
Current State: 87:[41, 8, 1], Operations: ['68/68=1']
Exploring Operation: 41-8=33, Resulting Numbers: [1, 33]
Generated Node #0,2,0: 87:[1, 33] Operation: 41-8=33
Exploring Operation: 41-1=40, Resulting Numbers: [8, 40]
Generated Node #0,2,1: 87:[8, 40] Operation: 41-1=40
Exploring Operation: 8-1=7, Resulting Numbers: [41, 7]
Generated Node #0,2,2: 87:[41, 7] Operation: 8-1=7
Exploring Operation: 41*1=41, Resulting Numbers: [8, 41]
Generated Node #0,2,3: 87:[8, 41] Operation: 41*1=41
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[1, 33], Operations: ['68/68=1', '41-8=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,87 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,87 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 #0,2,1
Current State: 87:[8, 40], Operations: ['68/68=1', '41-1=40']
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,87 unequal: No Solution
Exploring Operation: 8*40=320, Resulting Numbers: [320]
320,87 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,87 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 #0,2,2
Current State: 87:[41, 7], Operations: ['68/68=1', '8-1=7']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,87 unequal: No Solution
Exploring Operation: 41*7=287, Resulting Numbers: [287]
287,87 unequal: No Solution
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,87 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 #0,2,3
Current State: 87:[8, 41], Operations: ['68/68=1', '41*1=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,87 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,87 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: 87:[41, 8, 0], Operations: ['68-68=0']
Exploring Operation: 8*0=0, Resulting Numbers: [41, 0]
Generated Node #0,1,0: 87:[41, 0] Operation: 8*0=0
Exploring Operation: 41-8=33, Resulting Numbers: [0, 33]
Generated Node #0,1,1: 87:[0, 33] Operation: 41-8=33
Exploring Operation: 41*0=0, Resulting Numbers: [8, 0]
Generated Node #0,1,2: 87:[8, 0] Operation: 41*0=0
Exploring Operation: 41+0=41, Resulting Numbers: [8, 41]
Generated Node #0,1,3: 87:[8, 41] Operation: 41+0=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[0, 33], Operations: ['68-68=0', '41-8=33']
Exploring Operation: 0*33=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Exploring Operation: 33-0=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 0+33=33, Resulting Numbers: [33]
33,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[8, 0], Operations: ['68-68=0', '41*0=0']
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[41, 0], Operations: ['68-68=0', '8*0=0']
Exploring Operation: 41-0=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 41*0=0, Resulting Numbers: [0]
0,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 87:[8, 41], Operations: ['68-68=0', '41+0=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,87 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,87 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: 87:[8, 68, 27], Operations: ['68-41=27']
Exploring Operation: 68-27=41, Resulting Numbers: [8, 41]
Generated Node #0,3,0: 87:[8, 41] Operation: 68-27=41
Exploring Operation: 8+27=35, Resulting Numbers: [68, 35]
Generated Node #0,3,1: 87:[68, 35] Operation: 8+27=35
Exploring Operation: 68+27=95, Resulting Numbers: [8, 95]
Generated Node #0,3,2: 87:[8, 95] Operation: 68+27=95
Exploring Operation: 8+68=76, Resulting Numbers: [27, 76]
Generated Node #0,3,3: 87:[27, 76] Operation: 8+68=76
Moving to Node #0,0
Current State: 87:[8, 68, 27], Operations: ['68-41=27']
Exploring Operation: 68-27=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 87:[8, 41] Operation: 68-27=41
Exploring Operation: 8+68=76, Resulting Numbers: [27, 76]
Generated Node #0,0,1: 87:[27, 76] Operation: 8+68=76
Exploring Operation: 68+27=95, Resulting Numbers: [8, 95]
Generated Node #0,0,2: 87:[8, 95] Operation: 68+27=95
Exploring Operation: 8+27=35, Resulting Numbers: [68, 35]
Generated Node #0,0,3: 87:[68, 35] Operation: 8+27=35
Moving to Node #0,3,2
Current State: 87:[8, 95], Operations: ['68-41=27', '68+27=95']
Exploring Operation: 8*95=760, Resulting Numbers: [760]
760,87 unequal: No Solution
Exploring Operation: 8+95=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[41, 8, 68, 68], Operations: []
Exploring Operation: 68-41=27, Resulting Numbers: [8, 68, 27]
Generated Node #0,3: 87:[8, 68, 27] Operation: 68-41=27
Moving to Node #0,3
Current State: 87:[8, 68, 27], Operations: ['68-41=27']
Exploring Operation: 68+27=95, Resulting Numbers: [8, 95]
Generated Node #0,3,2: 87:[8, 95] Operation: 68+27=95
Moving to Node #0,3,2
Current State: 87:[8, 95], Operations: ['68-41=27', '68+27=95']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.953993 | hs_4 | mult_heuristic |
[
11,
20,
29,
45
] | 34 | [
"20-11=9",
"45/9=5",
"29+5=34"
] | Current State: 34:[11, 20, 29, 45], Operations: []
Exploring Operation: 20-11=9, Resulting Numbers: [29, 45, 9]
Generated Node #2: [29, 45, 9] from Operation: 20-11=9
Current State: 34:[29, 45, 9], Operations: ['20-11=9']
Exploring Operation: 45/9=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 45/9=5
Current State: 34:[29, 5], Operations: ['20-11=9', '45/9=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[11, 20, 29, 45], Operations: []
Exploring Operation: 45-20=25, Resulting Numbers: [11, 29, 25]
Generated Node #0,0: 34:[11, 29, 25] Operation: 45-20=25
Exploring Operation: 29-11=18, Resulting Numbers: [20, 45, 18]
Generated Node #0,1: 34:[20, 45, 18] Operation: 29-11=18
Exploring Operation: 11+20=31, Resulting Numbers: [29, 45, 31]
Generated Node #0,2: 34:[29, 45, 31] Operation: 11+20=31
Exploring Operation: 45-29=16, Resulting Numbers: [11, 20, 16]
Generated Node #0,3: 34:[11, 20, 16] Operation: 45-29=16
Exploring Operation: 45-11=34, Resulting Numbers: [20, 29, 34]
Generated Node #0,4: 34:[20, 29, 34] Operation: 45-11=34
Moving to Node #0,4
Current State: 34:[20, 29, 34], Operations: ['45-11=34']
Exploring Operation: 34-20=14, Resulting Numbers: [29, 14]
Generated Node #0,4,0: 34:[29, 14] Operation: 34-20=14
Exploring Operation: 29-20=9, Resulting Numbers: [34, 9]
Generated Node #0,4,1: 34:[34, 9] Operation: 29-20=9
Exploring Operation: 20+29=49, Resulting Numbers: [34, 49]
Generated Node #0,4,2: 34:[34, 49] Operation: 20+29=49
Exploring Operation: 20+34=54, Resulting Numbers: [29, 54]
Generated Node #0,4,3: 34:[29, 54] Operation: 20+34=54
Exploring Operation: 34-29=5, Resulting Numbers: [20, 5]
Generated Node #0,4,4: 34:[20, 5] Operation: 34-29=5
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 34:[20, 5], Operations: ['45-11=34', '34-29=5']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,34 unequal: No Solution
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,34 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 #0,4,1
Current State: 34:[34, 9], Operations: ['45-11=34', '29-20=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,34 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,34 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 #0,4,0
Current State: 34:[29, 14], Operations: ['45-11=34', '34-20=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,34 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 #0,4,2
Current State: 34:[34, 49], Operations: ['45-11=34', '20+29=49']
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,34 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,34 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,34 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 #0,4,3
Current State: 34:[29, 54], Operations: ['45-11=34', '20+34=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,34 unequal: No Solution
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,34 unequal: No Solution
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,34 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: 34:[11, 20, 16], Operations: ['45-29=16']
Exploring Operation: 20-11=9, Resulting Numbers: [16, 9]
Generated Node #0,3,0: 34:[16, 9] Operation: 20-11=9
Exploring Operation: 20-16=4, Resulting Numbers: [11, 4]
Generated Node #0,3,1: 34:[11, 4] Operation: 20-16=4
Exploring Operation: 11+20=31, Resulting Numbers: [16, 31]
Generated Node #0,3,2: 34:[16, 31] Operation: 11+20=31
Exploring Operation: 20+16=36, Resulting Numbers: [11, 36]
Generated Node #0,3,3: 34:[11, 36] Operation: 20+16=36
Exploring Operation: 16-11=5, Resulting Numbers: [20, 5]
Generated Node #0,3,4: 34:[20, 5] Operation: 16-11=5
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[16, 31], Operations: ['45-29=16', '11+20=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,34 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,34 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 #0,3,4
Current State: 34:[20, 5], Operations: ['45-29=16', '16-11=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,34 unequal: No Solution
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,34 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 #0,3,0
Current State: 34:[16, 9], Operations: ['45-29=16', '20-11=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,34 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 #0,3,1
Current State: 34:[11, 4], Operations: ['45-29=16', '20-16=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,34 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 #0,3,3
Current State: 34:[11, 36], Operations: ['45-29=16', '20+16=36']
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,34 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,34 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: 34:[20, 45, 18], Operations: ['29-11=18']
Exploring Operation: 45-20=25, Resulting Numbers: [18, 25]
Generated Node #0,1,0: 34:[18, 25] Operation: 45-20=25
Exploring Operation: 20-18=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 34:[45, 2] Operation: 20-18=2
Exploring Operation: 20+18=38, Resulting Numbers: [45, 38]
Generated Node #0,1,2: 34:[45, 38] Operation: 20+18=38
Exploring Operation: 20+45=65, Resulting Numbers: [18, 65]
Generated Node #0,1,3: 34:[18, 65] Operation: 20+45=65
Exploring Operation: 45-18=27, Resulting Numbers: [20, 27]
Generated Node #0,1,4: 34:[20, 27] Operation: 45-18=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[18, 25], Operations: ['29-11=18', '45-20=25']
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,34 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 34:[20, 27], Operations: ['29-11=18', '45-18=27']
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,34 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[45, 2], Operations: ['29-11=18', '20-18=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,34 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[45, 38], Operations: ['29-11=18', '20+18=38']
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 45*38=1710, Resulting Numbers: [1710]
1710,34 unequal: No Solution
Exploring Operation: 45+38=83, Resulting Numbers: [83]
83,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[18, 65], Operations: ['29-11=18', '20+45=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,34 unequal: No Solution
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Exploring Operation: 18*65=1170, Resulting Numbers: [1170]
1170,34 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: 34:[11, 29, 25], Operations: ['45-20=25']
Exploring Operation: 11+25=36, Resulting Numbers: [29, 36]
Generated Node #0,0,0: 34:[29, 36] Operation: 11+25=36
Exploring Operation: 29-25=4, Resulting Numbers: [11, 4]
Generated Node #0,0,1: 34:[11, 4] Operation: 29-25=4
Exploring Operation: 25-11=14, Resulting Numbers: [29, 14]
Generated Node #0,0,2: 34:[29, 14] Operation: 25-11=14
Exploring Operation: 11+29=40, Resulting Numbers: [25, 40]
Generated Node #0,0,3: 34:[25, 40] Operation: 11+29=40
Exploring Operation: 29-11=18, Resulting Numbers: [25, 18]
Generated Node #0,0,4: 34:[25, 18] Operation: 29-11=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[29, 36], Operations: ['45-20=25', '11+25=36']
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,34 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,34 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 #0,0,1
Current State: 34:[11, 4], Operations: ['45-20=25', '29-25=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,34 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 #0,0,2
Current State: 34:[29, 14], Operations: ['45-20=25', '25-11=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,34 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 #0,0,4
Current State: 34:[25, 18], Operations: ['45-20=25', '29-11=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,34 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 #0,0,3
Current State: 34:[25, 40], Operations: ['45-20=25', '11+29=40']
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,34 unequal: No Solution
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 25*40=1000, Resulting Numbers: [1000]
1000,34 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: 34:[29, 45, 31], Operations: ['11+20=31']
Exploring Operation: 45-29=16, Resulting Numbers: [31, 16]
Generated Node #0,2,0: 34:[31, 16] Operation: 45-29=16
Exploring Operation: 29+31=60, Resulting Numbers: [45, 60]
Generated Node #0,2,1: 34:[45, 60] Operation: 29+31=60
Exploring Operation: 31-29=2, Resulting Numbers: [45, 2]
Generated Node #0,2,2: 34:[45, 2] Operation: 31-29=2
Exploring Operation: 45-31=14, Resulting Numbers: [29, 14]
Generated Node #0,2,3: 34:[29, 14] Operation: 45-31=14
Exploring Operation: 29+45=74, Resulting Numbers: [31, 74]
Generated Node #0,2,4: 34:[31, 74] Operation: 29+45=74
Moving to Node #0,2,0
Current State: 34:[31, 16], Operations: ['11+20=31', '45-29=16']
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,34 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[29, 14], Operations: ['11+20=31', '45-31=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[45, 2], Operations: ['11+20=31', '31-29=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[45, 60], Operations: ['11+20=31', '29+31=60']
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 45+60=105, Resulting Numbers: [105]
105,34 unequal: No Solution
Exploring Operation: 45*60=2700, Resulting Numbers: [2700]
2700,34 unequal: No Solution
Moving to Node #0,2,4
Current State: 34:[31, 74], Operations: ['11+20=31', '29+45=74']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 31+74=105, Resulting Numbers: [105]
105,34 unequal: No Solution
Exploring Operation: 31*74=2294, Resulting Numbers: [2294]
2294,34 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
18,
37,
59,
1
] | 41 | [
"37-18=19",
"59+1=60",
"60-19=41"
] | Current State: 41:[18, 37, 59, 1], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [59, 1, 19]
Generated Node #2: [59, 1, 19] from Operation: 37-18=19
Current State: 41:[59, 1, 19], Operations: ['37-18=19']
Exploring Operation: 59+1=60, Resulting Numbers: [19, 60]
Generated Node #3: [19, 60] from Operation: 59+1=60
Current State: 41:[19, 60], Operations: ['37-18=19', '59+1=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[18, 37, 59, 1], Operations: []
Exploring Operation: 37+1=38, Resulting Numbers: [18, 59, 38]
Generated Node #0,0: 41:[18, 59, 38] Operation: 37+1=38
Exploring Operation: 59-1=58, Resulting Numbers: [18, 37, 58]
Generated Node #0,1: 41:[18, 37, 58] Operation: 59-1=58
Exploring Operation: 18+1=19, Resulting Numbers: [37, 59, 19]
Generated Node #0,2: 41:[37, 59, 19] Operation: 18+1=19
Exploring Operation: 59-18=41, Resulting Numbers: [37, 1, 41]
Generated Node #0,3: 41:[37, 1, 41] Operation: 59-18=41
Moving to Node #0,0
Current State: 41:[18, 59, 38], Operations: ['37+1=38']
Exploring Operation: 38-18=20, Resulting Numbers: [59, 20]
Generated Node #0,0,0: 41:[59, 20] Operation: 38-18=20
Exploring Operation: 18+59=77, Resulting Numbers: [38, 77]
Generated Node #0,0,1: 41:[38, 77] Operation: 18+59=77
Exploring Operation: 18+38=56, Resulting Numbers: [59, 56]
Generated Node #0,0,2: 41:[59, 56] Operation: 18+38=56
Exploring Operation: 59-18=41, Resulting Numbers: [38, 41]
Generated Node #0,0,3: 41:[38, 41] Operation: 59-18=41
Moving to Node #0,2
Current State: 41:[37, 59, 19], Operations: ['18+1=19']
Exploring Operation: 59-19=40, Resulting Numbers: [37, 40]
Generated Node #0,2,0: 41:[37, 40] Operation: 59-19=40
Exploring Operation: 59-37=22, Resulting Numbers: [19, 22]
Generated Node #0,2,1: 41:[19, 22] Operation: 59-37=22
Exploring Operation: 37+19=56, Resulting Numbers: [59, 56]
Generated Node #0,2,2: 41:[59, 56] Operation: 37+19=56
Exploring Operation: 37-19=18, Resulting Numbers: [59, 18]
Generated Node #0,2,3: 41:[59, 18] Operation: 37-19=18
Moving to Node #0,1
Current State: 41:[18, 37, 58], Operations: ['59-1=58']
Exploring Operation: 18+37=55, Resulting Numbers: [58, 55]
Generated Node #0,1,0: 41:[58, 55] Operation: 18+37=55
Exploring Operation: 58-18=40, Resulting Numbers: [37, 40]
Generated Node #0,1,1: 41:[37, 40] Operation: 58-18=40
Exploring Operation: 18+58=76, Resulting Numbers: [37, 76]
Generated Node #0,1,2: 41:[37, 76] Operation: 18+58=76
Exploring Operation: 37-18=19, Resulting Numbers: [58, 19]
Generated Node #0,1,3: 41:[58, 19] Operation: 37-18=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[37, 40], Operations: ['59-1=58', '58-18=40']
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,41 unequal: No Solution
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,41 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 #0,1,0
Current State: 41:[58, 55], Operations: ['59-1=58', '18+37=55']
Exploring Operation: 58+55=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 58*55=3190, Resulting Numbers: [3190]
3190,41 unequal: No Solution
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,41 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 #0,1,2
Current State: 41:[37, 76], Operations: ['59-1=58', '18+58=76']
Exploring Operation: 37*76=2812, Resulting Numbers: [2812]
2812,41 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 37+76=113, Resulting Numbers: [113]
113,41 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 #0,1,3
Current State: 41:[58, 19], Operations: ['59-1=58', '37-18=19']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,41 unequal: No Solution
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,41 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: 41:[37, 1, 41], Operations: ['59-18=41']
Exploring Operation: 37*1=37, Resulting Numbers: [41, 37]
Generated Node #0,3,0: 41:[41, 37] Operation: 37*1=37
Exploring Operation: 1*41=41, Resulting Numbers: [37, 41]
Generated Node #0,3,1: 41:[37, 41] Operation: 1*41=41
Exploring Operation: 37+1=38, Resulting Numbers: [41, 38]
Generated Node #0,3,2: 41:[41, 38] Operation: 37+1=38
Exploring Operation: 37/1=37, Resulting Numbers: [41, 37]
Generated Node #0,3,3: 41:[41, 37] Operation: 37/1=37
Moving to Node #0,0,3
Current State: 41:[38, 41], Operations: ['37+1=38', '59-18=41']
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,41 unequal: No Solution
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[41, 38], Operations: ['59-18=41', '37+1=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[41, 37], Operations: ['59-18=41', '37/1=37']
Exploring Operation: 41+37=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 41*37=1517, Resulting Numbers: [1517]
1517,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[41, 37], Operations: ['59-18=41', '37*1=37']
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 41*37=1517, Resulting Numbers: [1517]
1517,41 unequal: No Solution
Exploring Operation: 41+37=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[37, 41], Operations: ['59-18=41', '1*41=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 37*41=1517, Resulting Numbers: [1517]
1517,41 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[37, 40], Operations: ['18+1=19', '59-19=40']
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[59, 56], Operations: ['18+1=19', '37+19=56']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[59, 56], Operations: ['37+1=38', '18+38=56']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[59, 20], Operations: ['37+1=38', '38-18=20']
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 59*20=1180, Resulting Numbers: [1180]
1180,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[38, 77], Operations: ['37+1=38', '18+59=77']
Exploring Operation: 38*77=2926, Resulting Numbers: [2926]
2926,41 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 38+77=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[19, 22], Operations: ['18+1=19', '59-37=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,41 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[18, 37, 59, 1], Operations: []
Exploring Operation: 18+1=19, Resulting Numbers: [37, 59, 19]
Generated Node #0,2: 41:[37, 59, 19] Operation: 18+1=19
Moving to Node #0,2
Current State: 41:[37, 59, 19], Operations: ['18+1=19']
Exploring Operation: 59-37=22, Resulting Numbers: [19, 22]
Generated Node #0,2,1: 41:[19, 22] Operation: 59-37=22
Moving to Node #0,2,1
Current State: 41:[19, 22], Operations: ['18+1=19', '59-37=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.940972 | hs_4 | mult_heuristic |
[
56,
77,
67,
16
] | 99 | [
"67-56=11",
"16*11=176",
"176-77=99"
] | Current State: 99:[56, 77, 67, 16], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [77, 16, 11]
Generated Node #2: [77, 16, 11] from Operation: 67-56=11
Current State: 99:[77, 16, 11], Operations: ['67-56=11']
Exploring Operation: 16*11=176, Resulting Numbers: [77, 176]
Generated Node #3: [77, 176] from Operation: 16*11=176
Current State: 99:[77, 176], Operations: ['67-56=11', '16*11=176']
Exploring Operation: 176-77=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[56, 77, 67, 16], Operations: []
Exploring Operation: 77-56=21, Resulting Numbers: [67, 16, 21]
Generated Node #0,0: 99:[67, 16, 21] Operation: 77-56=21
Exploring Operation: 67-56=11, Resulting Numbers: [77, 16, 11]
Generated Node #0,1: 99:[77, 16, 11] Operation: 67-56=11
Exploring Operation: 56+67=123, Resulting Numbers: [77, 16, 123]
Generated Node #0,2: 99:[77, 16, 123] Operation: 56+67=123
Exploring Operation: 77-67=10, Resulting Numbers: [56, 16, 10]
Generated Node #0,3: 99:[56, 16, 10] Operation: 77-67=10
Moving to Node #0,1
Current State: 99:[77, 16, 11], Operations: ['67-56=11']
Exploring Operation: 77+11=88, Resulting Numbers: [16, 88]
Generated Node #0,1,0: 99:[16, 88] Operation: 77+11=88
Exploring Operation: 77/11=7, Resulting Numbers: [16, 7]
Generated Node #0,1,1: 99:[16, 7] Operation: 77/11=7
Exploring Operation: 16-11=5, Resulting Numbers: [77, 5]
Generated Node #0,1,2: 99:[77, 5] Operation: 16-11=5
Exploring Operation: 77+16=93, Resulting Numbers: [11, 93]
Generated Node #0,1,3: 99:[11, 93] Operation: 77+16=93
Moving to Node #0,3
Current State: 99:[56, 16, 10], Operations: ['77-67=10']
Exploring Operation: 56-10=46, Resulting Numbers: [16, 46]
Generated Node #0,3,0: 99:[16, 46] Operation: 56-10=46
Exploring Operation: 56+16=72, Resulting Numbers: [10, 72]
Generated Node #0,3,1: 99:[10, 72] Operation: 56+16=72
Exploring Operation: 56-16=40, Resulting Numbers: [10, 40]
Generated Node #0,3,2: 99:[10, 40] Operation: 56-16=40
Exploring Operation: 16-10=6, Resulting Numbers: [56, 6]
Generated Node #0,3,3: 99:[56, 6] Operation: 16-10=6
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[10, 40], Operations: ['77-67=10', '56-16=40']
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,99 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,99 unequal: No Solution
No 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: 99:[16, 46], Operations: ['77-67=10', '56-10=46']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,99 unequal: No Solution
No 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: 99:[56, 6], Operations: ['77-67=10', '16-10=6']
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,99 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,99 unequal: No Solution
No 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: 99:[10, 72], Operations: ['77-67=10', '56+16=72']
Exploring Operation: 10+72=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 10*72=720, Resulting Numbers: [720]
720,99 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: 99:[67, 16, 21], Operations: ['77-56=21']
Exploring Operation: 67+16=83, Resulting Numbers: [21, 83]
Generated Node #0,0,0: 99:[21, 83] Operation: 67+16=83
Exploring Operation: 67-21=46, Resulting Numbers: [16, 46]
Generated Node #0,0,1: 99:[16, 46] Operation: 67-21=46
Exploring Operation: 67+21=88, Resulting Numbers: [16, 88]
Generated Node #0,0,2: 99:[16, 88] Operation: 67+21=88
Exploring Operation: 67-16=51, Resulting Numbers: [21, 51]
Generated Node #0,0,3: 99:[21, 51] Operation: 67-16=51
Moving to Node #0,2
Current State: 99:[77, 16, 123], Operations: ['56+67=123']
Exploring Operation: 77+16=93, Resulting Numbers: [123, 93]
Generated Node #0,2,0: 99:[123, 93] Operation: 77+16=93
Exploring Operation: 123-16=107, Resulting Numbers: [77, 107]
Generated Node #0,2,1: 99:[77, 107] Operation: 123-16=107
Exploring Operation: 123-77=46, Resulting Numbers: [16, 46]
Generated Node #0,2,2: 99:[16, 46] Operation: 123-77=46
Exploring Operation: 77-16=61, Resulting Numbers: [123, 61]
Generated Node #0,2,3: 99:[123, 61] Operation: 77-16=61
Moving to Node #0,1,3
Current State: 99:[11, 93], Operations: ['67-56=11', '77+16=93']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 11+93=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Exploring Operation: 11*93=1023, Resulting Numbers: [1023]
1023,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[16, 7], Operations: ['67-56=11', '77/11=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[16, 88], Operations: ['67-56=11', '77+11=88']
Exploring Operation: 16+88=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 16*88=1408, Resulting Numbers: [1408]
1408,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[16, 88], Operations: ['77-56=21', '67+21=88']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 16*88=1408, Resulting Numbers: [1408]
1408,99 unequal: No Solution
Exploring Operation: 16+88=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[16, 46], Operations: ['77-56=21', '67-21=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[16, 46], Operations: ['56+67=123', '123-77=46']
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,99 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[77, 5], Operations: ['67-56=11', '16-11=5']
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[21, 83], Operations: ['77-56=21', '67+16=83']
Exploring Operation: 21*83=1743, Resulting Numbers: [1743]
1743,99 unequal: No Solution
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 21+83=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[21, 51], Operations: ['77-56=21', '67-16=51']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,99 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[123, 93], Operations: ['56+67=123', '77+16=93']
Exploring Operation: 123+93=216, Resulting Numbers: [216]
216,99 unequal: No Solution
Exploring Operation: 123*93=11439, Resulting Numbers: [11439]
11439,99 unequal: No Solution
Exploring Operation: 123-93=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[77, 107], Operations: ['56+67=123', '123-16=107']
Exploring Operation: 77+107=184, Resulting Numbers: [184]
184,99 unequal: No Solution
Exploring Operation: 107-77=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 77*107=8239, Resulting Numbers: [8239]
8239,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[123, 61], Operations: ['56+67=123', '77-16=61']
Exploring Operation: 123-61=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 123*61=7503, Resulting Numbers: [7503]
7503,99 unequal: No Solution
Exploring Operation: 123+61=184, Resulting Numbers: [184]
184,99 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
43,
1,
60,
59
] | 42 | [
"43*1=43",
"60-59=1",
"43-1=42"
] | Current State: 42:[43, 1, 60, 59], Operations: []
Exploring Operation: 43*1=43, Resulting Numbers: [60, 59, 43]
Generated Node #2: [60, 59, 43] from Operation: 43*1=43
Current State: 42:[60, 59, 43], Operations: ['43*1=43']
Exploring Operation: 60-59=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 60-59=1
Current State: 42:[43, 1], Operations: ['43*1=43', '60-59=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[43, 1, 60, 59], Operations: []
Exploring Operation: 43-1=42, Resulting Numbers: [60, 59, 42]
Generated Node #0,0: 42:[60, 59, 42] Operation: 43-1=42
Exploring Operation: 60-1=59, Resulting Numbers: [43, 59, 59]
Generated Node #0,1: 42:[43, 59, 59] Operation: 60-1=59
Exploring Operation: 60-43=17, Resulting Numbers: [1, 59, 17]
Generated Node #0,2: 42:[1, 59, 17] Operation: 60-43=17
Exploring Operation: 59-43=16, Resulting Numbers: [1, 60, 16]
Generated Node #0,3: 42:[1, 60, 16] Operation: 59-43=16
Exploring Operation: 60-59=1, Resulting Numbers: [43, 1, 1]
Generated Node #0,4: 42:[43, 1, 1] Operation: 60-59=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 42:[43, 1, 1], Operations: ['60-59=1']
Exploring Operation: 43-1=42, Resulting Numbers: [1, 42]
Generated Node #0,4,0: 42:[1, 42] Operation: 43-1=42
Exploring Operation: 43*1=43, Resulting Numbers: [1, 43]
Generated Node #0,4,1: 42:[1, 43] Operation: 43*1=43
Exploring Operation: 43-1=42, Resulting Numbers: [1, 42]
Generated Node #0,4,2: 42:[1, 42] Operation: 43-1=42
Exploring Operation: 43/1=43, Resulting Numbers: [1, 43]
Generated Node #0,4,3: 42:[1, 43] Operation: 43/1=43
Exploring Operation: 1+1=2, Resulting Numbers: [43, 2]
Generated Node #0,4,4: 42:[43, 2] Operation: 1+1=2
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 42:[1, 42], Operations: ['60-59=1', '43-1=42']
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[43, 1, 60, 59], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [43, 1, 1]
Generated Node #0,4: 42:[43, 1, 1] Operation: 60-59=1
Moving to Node #0,4
Current State: 42:[43, 1, 1], Operations: ['60-59=1']
Exploring Operation: 43-1=42, Resulting Numbers: [1, 42]
Generated Node #0,4,0: 42:[1, 42] Operation: 43-1=42
Moving to Node #0,4,0
Current State: 42:[1, 42], Operations: ['60-59=1', '43-1=42']
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
1,
2,
65,
10
] | 87 | [
"1+10=11",
"2*11=22",
"65+22=87"
] | Current State: 87:[1, 2, 65, 10], Operations: []
Exploring Operation: 1+10=11, Resulting Numbers: [2, 65, 11]
Generated Node #2: [2, 65, 11] from Operation: 1+10=11
Current State: 87:[2, 65, 11], Operations: ['1+10=11']
Exploring Operation: 2*11=22, Resulting Numbers: [65, 22]
Generated Node #3: [65, 22] from Operation: 2*11=22
Current State: 87:[65, 22], Operations: ['1+10=11', '2*11=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[1, 2, 65, 10], Operations: []
Exploring Operation: 65+10=75, Resulting Numbers: [1, 2, 75]
Generated Node #0,0: 87:[1, 2, 75] Operation: 65+10=75
Exploring Operation: 10/2=5, Resulting Numbers: [1, 65, 5]
Generated Node #0,1: 87:[1, 65, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[1, 2, 75], Operations: ['65+10=75']
Exploring Operation: 1+2=3, Resulting Numbers: [75, 3]
Generated Node #0,0,0: 87:[75, 3] Operation: 1+2=3
Exploring Operation: 1+75=76, Resulting Numbers: [2, 76]
Generated Node #0,0,1: 87:[2, 76] Operation: 1+75=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[75, 3], Operations: ['65+10=75', '1+2=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,87 unequal: No Solution
No 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: 87:[2, 76], Operations: ['65+10=75', '1+75=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,87 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: 87:[1, 65, 5], Operations: ['10/2=5']
Exploring Operation: 65+5=70, Resulting Numbers: [1, 70]
Generated Node #0,1,0: 87:[1, 70] Operation: 65+5=70
Exploring Operation: 65/5=13, Resulting Numbers: [1, 13]
Generated Node #0,1,1: 87:[1, 13] Operation: 65/5=13
Moving to Node #0,1,1
Current State: 87:[1, 13], Operations: ['10/2=5', '65/5=13']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[1, 70], Operations: ['10/2=5', '65+5=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 1+70=71, Resulting Numbers: [71]
71,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
53,
56,
7,
27
] | 74 | [
"56-53=3",
"27*3=81",
"81-7=74"
] | Current State: 74:[53, 56, 7, 27], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [7, 27, 3]
Generated Node #2: [7, 27, 3] from Operation: 56-53=3
Current State: 74:[7, 27, 3], Operations: ['56-53=3']
Exploring Operation: 27*3=81, Resulting Numbers: [7, 81]
Generated Node #3: [7, 81] from Operation: 27*3=81
Current State: 74:[7, 81], Operations: ['56-53=3', '27*3=81']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[53, 56, 7, 27], Operations: []
Exploring Operation: 56-27=29, Resulting Numbers: [53, 7, 29]
Generated Node #0,0: 74:[53, 7, 29] Operation: 56-27=29
Exploring Operation: 56-53=3, Resulting Numbers: [7, 27, 3]
Generated Node #0,1: 74:[7, 27, 3] Operation: 56-53=3
Exploring Operation: 56+27=83, Resulting Numbers: [53, 7, 83]
Generated Node #0,2: 74:[53, 7, 83] Operation: 56+27=83
Exploring Operation: 53+27=80, Resulting Numbers: [56, 7, 80]
Generated Node #0,3: 74:[56, 7, 80] Operation: 53+27=80
Moving to Node #0,1
Current State: 74:[7, 27, 3], Operations: ['56-53=3']
Exploring Operation: 7-3=4, Resulting Numbers: [27, 4]
Generated Node #0,1,0: 74:[27, 4] Operation: 7-3=4
Exploring Operation: 7+27=34, Resulting Numbers: [3, 34]
Generated Node #0,1,1: 74:[3, 34] Operation: 7+27=34
Exploring Operation: 27*3=81, Resulting Numbers: [7, 81]
Generated Node #0,1,2: 74:[7, 81] Operation: 27*3=81
Exploring Operation: 27+3=30, Resulting Numbers: [7, 30]
Generated Node #0,1,3: 74:[7, 30] Operation: 27+3=30
Moving to Node #0,3
Current State: 74:[56, 7, 80], Operations: ['53+27=80']
Exploring Operation: 56-7=49, Resulting Numbers: [80, 49]
Generated Node #0,3,0: 74:[80, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [80, 8]
Generated Node #0,3,1: 74:[80, 8] Operation: 56/7=8
Exploring Operation: 56+7=63, Resulting Numbers: [80, 63]
Generated Node #0,3,2: 74:[80, 63] Operation: 56+7=63
Exploring Operation: 80-56=24, Resulting Numbers: [7, 24]
Generated Node #0,3,3: 74:[7, 24] Operation: 80-56=24
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 74:[80, 8], Operations: ['53+27=80', '56/7=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,74 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[80, 63], Operations: ['53+27=80', '56+7=63']
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,74 unequal: No Solution
Exploring Operation: 80*63=5040, Resulting Numbers: [5040]
5040,74 unequal: No Solution
Exploring Operation: 80+63=143, Resulting Numbers: [143]
143,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[80, 49], Operations: ['53+27=80', '56-7=49']
Exploring Operation: 80*49=3920, Resulting Numbers: [3920]
3920,74 unequal: No Solution
Exploring Operation: 80+49=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[7, 24], Operations: ['53+27=80', '80-56=24']
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,74 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,74 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: 74:[53, 7, 29], Operations: ['56-27=29']
Exploring Operation: 53-29=24, Resulting Numbers: [7, 24]
Generated Node #0,0,0: 74:[7, 24] Operation: 53-29=24
Exploring Operation: 53-7=46, Resulting Numbers: [29, 46]
Generated Node #0,0,1: 74:[29, 46] Operation: 53-7=46
Exploring Operation: 53+29=82, Resulting Numbers: [7, 82]
Generated Node #0,0,2: 74:[7, 82] Operation: 53+29=82
Exploring Operation: 7+29=36, Resulting Numbers: [53, 36]
Generated Node #0,0,3: 74:[53, 36] Operation: 7+29=36
Moving to Node #0,2
Current State: 74:[53, 7, 83], Operations: ['56+27=83']
Exploring Operation: 83-53=30, Resulting Numbers: [7, 30]
Generated Node #0,2,0: 74:[7, 30] Operation: 83-53=30
Exploring Operation: 53+7=60, Resulting Numbers: [83, 60]
Generated Node #0,2,1: 74:[83, 60] Operation: 53+7=60
Exploring Operation: 83-7=76, Resulting Numbers: [53, 76]
Generated Node #0,2,2: 74:[53, 76] Operation: 83-7=76
Exploring Operation: 53-7=46, Resulting Numbers: [83, 46]
Generated Node #0,2,3: 74:[83, 46] Operation: 53-7=46
Moving to Node #0,1,1
Current State: 74:[3, 34], Operations: ['56-53=3', '7+27=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[7, 81], Operations: ['56-53=3', '27*3=81']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[53, 56, 7, 27], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [7, 27, 3]
Generated Node #0,1: 74:[7, 27, 3] Operation: 56-53=3
Moving to Node #0,1
Current State: 74:[7, 27, 3], Operations: ['56-53=3']
Exploring Operation: 27*3=81, Resulting Numbers: [7, 81]
Generated Node #0,1,2: 74:[7, 81] Operation: 27*3=81
Moving to Node #0,1,2
Current State: 74:[7, 81], Operations: ['56-53=3', '27*3=81']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.96441 | hs_4 | mult_heuristic |
[
28,
31,
95,
33
] | 12 | [
"33-28=5",
"95/5=19",
"31-19=12"
] | Current State: 12:[28, 31, 95, 33], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [31, 95, 5]
Generated Node #2: [31, 95, 5] from Operation: 33-28=5
Current State: 12:[31, 95, 5], Operations: ['33-28=5']
Exploring Operation: 95/5=19, Resulting Numbers: [31, 19]
Generated Node #3: [31, 19] from Operation: 95/5=19
Current State: 12:[31, 19], Operations: ['33-28=5', '95/5=19']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[28, 31, 95, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [28, 95, 2]
Generated Node #0,0: 12:[28, 95, 2] Operation: 33-31=2
Exploring Operation: 95-31=64, Resulting Numbers: [28, 33, 64]
Generated Node #0,1: 12:[28, 33, 64] Operation: 95-31=64
Exploring Operation: 95-28=67, Resulting Numbers: [31, 33, 67]
Generated Node #0,2: 12:[31, 33, 67] Operation: 95-28=67
Exploring Operation: 95-33=62, Resulting Numbers: [28, 31, 62]
Generated Node #0,3: 12:[28, 31, 62] Operation: 95-33=62
Moving to Node #0,3
Current State: 12:[28, 31, 62], Operations: ['95-33=62']
Exploring Operation: 62-28=34, Resulting Numbers: [31, 34]
Generated Node #0,3,0: 12:[31, 34] Operation: 62-28=34
Exploring Operation: 62/31=2, Resulting Numbers: [28, 2]
Generated Node #0,3,1: 12:[28, 2] Operation: 62/31=2
Exploring Operation: 62-31=31, Resulting Numbers: [28, 31]
Generated Node #0,3,2: 12:[28, 31] Operation: 62-31=31
Exploring Operation: 31-28=3, Resulting Numbers: [62, 3]
Generated Node #0,3,3: 12:[62, 3] Operation: 31-28=3
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 12:[28, 2], Operations: ['95-33=62', '62/31=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,12 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,12 unequal: No Solution
No 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: 12:[28, 31], Operations: ['95-33=62', '62-31=31']
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,12 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,12 unequal: No Solution
No 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: 12:[31, 34], Operations: ['95-33=62', '62-28=34']
Exploring Operation: 31*34=1054, Resulting Numbers: [1054]
1054,12 unequal: No Solution
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No 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: 12:[62, 3], Operations: ['95-33=62', '31-28=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,12 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: 12:[28, 33, 64], Operations: ['95-31=64']
Exploring Operation: 64-28=36, Resulting Numbers: [33, 36]
Generated Node #0,1,0: 12:[33, 36] Operation: 64-28=36
Exploring Operation: 64-33=31, Resulting Numbers: [28, 31]
Generated Node #0,1,1: 12:[28, 31] Operation: 64-33=31
Exploring Operation: 33-28=5, Resulting Numbers: [64, 5]
Generated Node #0,1,2: 12:[64, 5] Operation: 33-28=5
Exploring Operation: 28+33=61, Resulting Numbers: [64, 61]
Generated Node #0,1,3: 12:[64, 61] Operation: 28+33=61
Moving to Node #0,2
Current State: 12:[31, 33, 67], Operations: ['95-28=67']
Exploring Operation: 67-33=34, Resulting Numbers: [31, 34]
Generated Node #0,2,0: 12:[31, 34] Operation: 67-33=34
Exploring Operation: 33-31=2, Resulting Numbers: [67, 2]
Generated Node #0,2,1: 12:[67, 2] Operation: 33-31=2
Exploring Operation: 31+33=64, Resulting Numbers: [67, 64]
Generated Node #0,2,2: 12:[67, 64] Operation: 31+33=64
Exploring Operation: 67-31=36, Resulting Numbers: [33, 36]
Generated Node #0,2,3: 12:[33, 36] Operation: 67-31=36
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[31, 34], Operations: ['95-28=67', '67-33=34']
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 31*34=1054, Resulting Numbers: [1054]
1054,12 unequal: No Solution
No 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: 12:[33, 36], Operations: ['95-28=67', '67-31=36']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 33*36=1188, Resulting Numbers: [1188]
1188,12 unequal: No Solution
No 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: 12:[67, 2], Operations: ['95-28=67', '33-31=2']
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,12 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,12 unequal: No Solution
No 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: 12:[67, 64], Operations: ['95-28=67', '31+33=64']
Exploring Operation: 67*64=4288, Resulting Numbers: [4288]
4288,12 unequal: No Solution
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 67+64=131, Resulting Numbers: [131]
131,12 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: 12:[28, 95, 2], Operations: ['33-31=2']
Exploring Operation: 95-28=67, Resulting Numbers: [2, 67]
Generated Node #0,0,0: 12:[2, 67] Operation: 95-28=67
Exploring Operation: 28/2=14, Resulting Numbers: [95, 14]
Generated Node #0,0,1: 12:[95, 14] Operation: 28/2=14
Exploring Operation: 28-2=26, Resulting Numbers: [95, 26]
Generated Node #0,0,2: 12:[95, 26] Operation: 28-2=26
Exploring Operation: 95-2=93, Resulting Numbers: [28, 93]
Generated Node #0,0,3: 12:[28, 93] Operation: 95-2=93
Moving to Node #0,1,1
Current State: 12:[28, 31], Operations: ['95-31=64', '64-33=31']
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,12 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[33, 36], Operations: ['95-31=64', '64-28=36']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 33*36=1188, Resulting Numbers: [1188]
1188,12 unequal: No Solution
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[64, 5], Operations: ['95-31=64', '33-28=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[2, 67], Operations: ['33-31=2', '95-28=67']
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,12 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[95, 14], Operations: ['33-31=2', '28/2=14']
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,12 unequal: No Solution
Exploring Operation: 95*14=1330, Resulting Numbers: [1330]
1330,12 unequal: No Solution
Exploring Operation: 95+14=109, Resulting Numbers: [109]
109,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[28, 93], Operations: ['33-31=2', '95-2=93']
Exploring Operation: 28+93=121, Resulting Numbers: [121]
121,12 unequal: No Solution
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 28*93=2604, Resulting Numbers: [2604]
2604,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[95, 26], Operations: ['33-31=2', '28-2=26']
Exploring Operation: 95-26=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 95*26=2470, Resulting Numbers: [2470]
2470,12 unequal: No Solution
Exploring Operation: 95+26=121, Resulting Numbers: [121]
121,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[64, 61], Operations: ['95-31=64', '28+33=61']
Exploring Operation: 64+61=125, Resulting Numbers: [125]
125,12 unequal: No Solution
Exploring Operation: 64*61=3904, Resulting Numbers: [3904]
3904,12 unequal: No Solution
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
99,
84,
52,
24
] | 96 | [
"52-24=28",
"84/28=3",
"99-3=96"
] | Current State: 96:[99, 84, 52, 24], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [99, 84, 28]
Generated Node #2: [99, 84, 28] from Operation: 52-24=28
Current State: 96:[99, 84, 28], Operations: ['52-24=28']
Exploring Operation: 84/28=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 84/28=3
Current State: 96:[99, 3], Operations: ['52-24=28', '84/28=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[99, 84, 52, 24], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [99, 24, 32]
Generated Node #0,0: 96:[99, 24, 32] Operation: 84-52=32
Exploring Operation: 99-52=47, Resulting Numbers: [84, 24, 47]
Generated Node #0,1: 96:[84, 24, 47] Operation: 99-52=47
Exploring Operation: 99-84=15, Resulting Numbers: [52, 24, 15]
Generated Node #0,2: 96:[52, 24, 15] Operation: 99-84=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[99, 24, 32], Operations: ['84-52=32']
Exploring Operation: 99-32=67, Resulting Numbers: [24, 67]
Generated Node #0,0,0: 96:[24, 67] Operation: 99-32=67
Exploring Operation: 32-24=8, Resulting Numbers: [99, 8]
Generated Node #0,0,1: 96:[99, 8] Operation: 32-24=8
Exploring Operation: 24+32=56, Resulting Numbers: [99, 56]
Generated Node #0,0,2: 96:[99, 56] Operation: 24+32=56
Moving to Node #0,0,1
Current State: 96:[99, 8], Operations: ['84-52=32', '32-24=8']
Exploring Operation: 99+8=107, Resulting Numbers: [107]
107,96 unequal: No Solution
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,96 unequal: No Solution
Exploring Operation: 99*8=792, Resulting Numbers: [792]
792,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[99, 56], Operations: ['84-52=32', '24+32=56']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 99+56=155, Resulting Numbers: [155]
155,96 unequal: No Solution
Exploring Operation: 99*56=5544, Resulting Numbers: [5544]
5544,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[24, 67], Operations: ['84-52=32', '99-32=67']
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,96 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[52, 24, 15], Operations: ['99-84=15']
Exploring Operation: 52-24=28, Resulting Numbers: [15, 28]
Generated Node #0,2,0: 96:[15, 28] Operation: 52-24=28
Exploring Operation: 52-15=37, Resulting Numbers: [24, 37]
Generated Node #0,2,1: 96:[24, 37] Operation: 52-15=37
Exploring Operation: 24-15=9, Resulting Numbers: [52, 9]
Generated Node #0,2,2: 96:[52, 9] Operation: 24-15=9
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[15, 28], Operations: ['99-84=15', '52-24=28']
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,96 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[24, 37], Operations: ['99-84=15', '52-15=37']
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,96 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[52, 9], Operations: ['99-84=15', '24-15=9']
Exploring Operation: 52*9=468, Resulting Numbers: [468]
468,96 unequal: No Solution
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[84, 24, 47], Operations: ['99-52=47']
Exploring Operation: 84-47=37, Resulting Numbers: [24, 37]
Generated Node #0,1,0: 96:[24, 37] Operation: 84-47=37
Exploring Operation: 84-24=60, Resulting Numbers: [47, 60]
Generated Node #0,1,1: 96:[47, 60] Operation: 84-24=60
Exploring Operation: 84+24=108, Resulting Numbers: [47, 108]
Generated Node #0,1,2: 96:[47, 108] Operation: 84+24=108
Moving to Node #0,1,0
Current State: 96:[24, 37], Operations: ['99-52=47', '84-47=37']
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,96 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[47, 60], Operations: ['99-52=47', '84-24=60']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 47+60=107, Resulting Numbers: [107]
107,96 unequal: No Solution
Exploring Operation: 47*60=2820, Resulting Numbers: [2820]
2820,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[47, 108], Operations: ['99-52=47', '84+24=108']
Exploring Operation: 47+108=155, Resulting Numbers: [155]
155,96 unequal: No Solution
Exploring Operation: 47*108=5076, Resulting Numbers: [5076]
5076,96 unequal: No Solution
Exploring Operation: 108-47=61, Resulting Numbers: [61]
61,96 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 |
[
40,
62,
26,
41
] | 28 | [
"40*41=1640",
"62*26=1612",
"1640-1612=28"
] | Current State: 28:[40, 62, 26, 41], Operations: []
Exploring Operation: 40*41=1640, Resulting Numbers: [62, 26, 1640]
Generated Node #2: [62, 26, 1640] from Operation: 40*41=1640
Current State: 28:[62, 26, 1640], Operations: ['40*41=1640']
Exploring Operation: 62*26=1612, Resulting Numbers: [1640, 1612]
Generated Node #3: [1640, 1612] from Operation: 62*26=1612
Current State: 28:[1640, 1612], Operations: ['40*41=1640', '62*26=1612']
Exploring Operation: 1640-1612=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[40, 62, 26, 41], Operations: []
Exploring Operation: 62-41=21, Resulting Numbers: [40, 26, 21]
Generated Node #0,0: 28:[40, 26, 21] Operation: 62-41=21
Exploring Operation: 62-40=22, Resulting Numbers: [26, 41, 22]
Generated Node #0,1: 28:[26, 41, 22] Operation: 62-40=22
Exploring Operation: 62-26=36, Resulting Numbers: [40, 41, 36]
Generated Node #0,2: 28:[40, 41, 36] Operation: 62-26=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[40, 26, 21], Operations: ['62-41=21']
Exploring Operation: 40-21=19, Resulting Numbers: [26, 19]
Generated Node #0,0,0: 28:[26, 19] Operation: 40-21=19
Exploring Operation: 40-26=14, Resulting Numbers: [21, 14]
Generated Node #0,0,1: 28:[21, 14] Operation: 40-26=14
Exploring Operation: 26-21=5, Resulting Numbers: [40, 5]
Generated Node #0,0,2: 28:[40, 5] Operation: 26-21=5
Moving to Node #0,0,0
Current State: 28:[26, 19], Operations: ['62-41=21', '40-21=19']
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,28 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[21, 14], Operations: ['62-41=21', '40-26=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[40, 5], Operations: ['62-41=21', '26-21=5']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[26, 41, 22], Operations: ['62-40=22']
Exploring Operation: 41-26=15, Resulting Numbers: [22, 15]
Generated Node #0,1,0: 28:[22, 15] Operation: 41-26=15
Exploring Operation: 41-22=19, Resulting Numbers: [26, 19]
Generated Node #0,1,1: 28:[26, 19] Operation: 41-22=19
Exploring Operation: 26-22=4, Resulting Numbers: [41, 4]
Generated Node #0,1,2: 28:[41, 4] Operation: 26-22=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[22, 15], Operations: ['62-40=22', '41-26=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,28 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[26, 19], Operations: ['62-40=22', '41-22=19']
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,28 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[41, 4], Operations: ['62-40=22', '26-22=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,28 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[40, 41, 36], Operations: ['62-26=36']
Exploring Operation: 41-36=5, Resulting Numbers: [40, 5]
Generated Node #0,2,0: 28:[40, 5] Operation: 41-36=5
Exploring Operation: 41-40=1, Resulting Numbers: [36, 1]
Generated Node #0,2,1: 28:[36, 1] Operation: 41-40=1
Exploring Operation: 40-36=4, Resulting Numbers: [41, 4]
Generated Node #0,2,2: 28:[41, 4] Operation: 40-36=4
Moving to Node #0,2,1
Current State: 28:[36, 1], Operations: ['62-26=36', '41-40=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[40, 5], Operations: ['62-26=36', '41-36=5']
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[41, 4], Operations: ['62-26=36', '40-36=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,28 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,28 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 |
[
4,
96,
28,
83
] | 45 | [
"4+96=100",
"83-28=55",
"100-55=45"
] | Current State: 45:[4, 96, 28, 83], Operations: []
Exploring Operation: 4+96=100, Resulting Numbers: [28, 83, 100]
Generated Node #2: [28, 83, 100] from Operation: 4+96=100
Current State: 45:[28, 83, 100], Operations: ['4+96=100']
Exploring Operation: 83-28=55, Resulting Numbers: [100, 55]
Generated Node #3: [100, 55] from Operation: 83-28=55
Current State: 45:[100, 55], Operations: ['4+96=100', '83-28=55']
Exploring Operation: 100-55=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[4, 96, 28, 83], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [28, 83, 24]
Generated Node #0,0: 45:[28, 83, 24] Operation: 96/4=24
Exploring Operation: 96-28=68, Resulting Numbers: [4, 83, 68]
Generated Node #0,1: 45:[4, 83, 68] Operation: 96-28=68
Exploring Operation: 96-83=13, Resulting Numbers: [4, 28, 13]
Generated Node #0,2: 45:[4, 28, 13] Operation: 96-83=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[4, 28, 13], Operations: ['96-83=13']
Exploring Operation: 28-13=15, Resulting Numbers: [4, 15]
Generated Node #0,2,0: 45:[4, 15] Operation: 28-13=15
Exploring Operation: 28+13=41, Resulting Numbers: [4, 41]
Generated Node #0,2,1: 45:[4, 41] Operation: 28+13=41
Exploring Operation: 28/4=7, Resulting Numbers: [13, 7]
Generated Node #0,2,2: 45:[13, 7] Operation: 28/4=7
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 45:[4, 15], Operations: ['96-83=13', '28-13=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,45 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 45:[13, 7], Operations: ['96-83=13', '28/4=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,45 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[4, 41], Operations: ['96-83=13', '28+13=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,45 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[4, 96, 28, 83], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [4, 28, 13]
Generated Node #0,2: 45:[4, 28, 13] Operation: 96-83=13
Moving to Node #0,2
Current State: 45:[4, 28, 13], Operations: ['96-83=13']
Exploring Operation: 28+13=41, Resulting Numbers: [4, 41]
Generated Node #0,2,1: 45:[4, 41] Operation: 28+13=41
Moving to Node #0,2,1
Current State: 45:[4, 41], Operations: ['96-83=13', '28+13=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
25,
74,
11,
76
] | 61 | [
"76-74=2",
"25*2=50",
"11+50=61"
] | Current State: 61:[25, 74, 11, 76], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [25, 11, 2]
Generated Node #2: [25, 11, 2] from Operation: 76-74=2
Current State: 61:[25, 11, 2], Operations: ['76-74=2']
Exploring Operation: 25*2=50, Resulting Numbers: [11, 50]
Generated Node #3: [11, 50] from Operation: 25*2=50
Current State: 61:[11, 50], Operations: ['76-74=2', '25*2=50']
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[25, 74, 11, 76], Operations: []
Exploring Operation: 25+11=36, Resulting Numbers: [74, 76, 36]
Generated Node #0,0: 61:[74, 76, 36] Operation: 25+11=36
Exploring Operation: 74-11=63, Resulting Numbers: [25, 76, 63]
Generated Node #0,1: 61:[25, 76, 63] Operation: 74-11=63
Moving to Node #0,0
Current State: 61:[74, 76, 36], Operations: ['25+11=36']
Exploring Operation: 76-36=40, Resulting Numbers: [74, 40]
Generated Node #0,0,0: 61:[74, 40] Operation: 76-36=40
Exploring Operation: 74-36=38, Resulting Numbers: [76, 38]
Generated Node #0,0,1: 61:[76, 38] Operation: 74-36=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[74, 40], Operations: ['25+11=36', '76-36=40']
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,61 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,61 unequal: No Solution
No 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: 61:[76, 38], Operations: ['25+11=36', '74-36=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 76+38=114, Resulting Numbers: [114]
114,61 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: 61:[25, 76, 63], Operations: ['74-11=63']
Exploring Operation: 63-25=38, Resulting Numbers: [76, 38]
Generated Node #0,1,0: 61:[76, 38] Operation: 63-25=38
Exploring Operation: 76-25=51, Resulting Numbers: [63, 51]
Generated Node #0,1,1: 61:[63, 51] Operation: 76-25=51
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[63, 51], Operations: ['74-11=63', '76-25=51']
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,61 unequal: No Solution
No 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: 61:[76, 38], Operations: ['74-11=63', '63-25=38']
Exploring Operation: 76+38=114, Resulting Numbers: [114]
114,61 unequal: No Solution
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,61 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 |
[
5,
27,
2,
16
] | 67 | [
"5*16=80",
"80/2=40",
"27+40=67"
] | Current State: 67:[5, 27, 2, 16], Operations: []
Exploring Operation: 5*16=80, Resulting Numbers: [27, 2, 80]
Generated Node #2: [27, 2, 80] from Operation: 5*16=80
Current State: 67:[27, 2, 80], Operations: ['5*16=80']
Exploring Operation: 80/2=40, Resulting Numbers: [27, 40]
Generated Node #3: [27, 40] from Operation: 80/2=40
Current State: 67:[27, 40], Operations: ['5*16=80', '80/2=40']
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[5, 27, 2, 16], Operations: []
Exploring Operation: 5*16=80, Resulting Numbers: [27, 2, 80]
Generated Node #0,0: 67:[27, 2, 80] Operation: 5*16=80
Exploring Operation: 27*2=54, Resulting Numbers: [5, 16, 54]
Generated Node #0,1: 67:[5, 16, 54] Operation: 27*2=54
Exploring Operation: 2*16=32, Resulting Numbers: [5, 27, 32]
Generated Node #0,2: 67:[5, 27, 32] Operation: 2*16=32
Exploring Operation: 5*2=10, Resulting Numbers: [27, 16, 10]
Generated Node #0,3: 67:[27, 16, 10] Operation: 5*2=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[27, 2, 80], Operations: ['5*16=80']
Exploring Operation: 27-2=25, Resulting Numbers: [80, 25]
Generated Node #0,0,0: 67:[80, 25] Operation: 27-2=25
Exploring Operation: 27*2=54, Resulting Numbers: [80, 54]
Generated Node #0,0,1: 67:[80, 54] Operation: 27*2=54
Exploring Operation: 27+2=29, Resulting Numbers: [80, 29]
Generated Node #0,0,2: 67:[80, 29] Operation: 27+2=29
Exploring Operation: 80-2=78, Resulting Numbers: [27, 78]
Generated Node #0,0,3: 67:[27, 78] Operation: 80-2=78
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[80, 54], Operations: ['5*16=80', '27*2=54']
Exploring Operation: 80*54=4320, Resulting Numbers: [4320]
4320,67 unequal: No Solution
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 80+54=134, Resulting Numbers: [134]
134,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[80, 29], Operations: ['5*16=80', '27+2=29']
Exploring Operation: 80+29=109, Resulting Numbers: [109]
109,67 unequal: No Solution
Exploring Operation: 80*29=2320, Resulting Numbers: [2320]
2320,67 unequal: No Solution
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 67:[27, 78], Operations: ['5*16=80', '80-2=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,67 unequal: No Solution
Exploring Operation: 27+78=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 27*78=2106, Resulting Numbers: [2106]
2106,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[80, 25], Operations: ['5*16=80', '27-2=25']
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 80*25=2000, Resulting Numbers: [2000]
2000,67 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[5, 16, 54], Operations: ['27*2=54']
Exploring Operation: 5*16=80, Resulting Numbers: [54, 80]
Generated Node #0,1,0: 67:[54, 80] Operation: 5*16=80
Exploring Operation: 5+16=21, Resulting Numbers: [54, 21]
Generated Node #0,1,1: 67:[54, 21] Operation: 5+16=21
Exploring Operation: 5+54=59, Resulting Numbers: [16, 59]
Generated Node #0,1,2: 67:[16, 59] Operation: 5+54=59
Exploring Operation: 16+54=70, Resulting Numbers: [5, 70]
Generated Node #0,1,3: 67:[5, 70] Operation: 16+54=70
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[54, 80], Operations: ['27*2=54', '5*16=80']
Exploring Operation: 54+80=134, Resulting Numbers: [134]
134,67 unequal: No Solution
Exploring Operation: 54*80=4320, Resulting Numbers: [4320]
4320,67 unequal: No Solution
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[54, 21], Operations: ['27*2=54', '5+16=21']
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 54*21=1134, Resulting Numbers: [1134]
1134,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[16, 59], Operations: ['27*2=54', '5+54=59']
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,67 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[5, 70], Operations: ['27*2=54', '16+54=70']
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[5, 27, 32], Operations: ['2*16=32']
Exploring Operation: 5+27=32, Resulting Numbers: [32, 32]
Generated Node #0,2,0: 67:[32, 32] Operation: 5+27=32
Exploring Operation: 5+32=37, Resulting Numbers: [27, 37]
Generated Node #0,2,1: 67:[27, 37] Operation: 5+32=37
Exploring Operation: 27-5=22, Resulting Numbers: [32, 22]
Generated Node #0,2,2: 67:[32, 22] Operation: 27-5=22
Exploring Operation: 27+32=59, Resulting Numbers: [5, 59]
Generated Node #0,2,3: 67:[5, 59] Operation: 27+32=59
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[32, 32], Operations: ['2*16=32', '5+27=32']
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 32*32=1024, Resulting Numbers: [1024]
1024,67 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 67:[27, 37], Operations: ['2*16=32', '5+32=37']
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 27*37=999, Resulting Numbers: [999]
999,67 unequal: No Solution
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 67:[5, 59], Operations: ['2*16=32', '27+32=59']
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,67 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[32, 22], Operations: ['2*16=32', '27-5=22']
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,67 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[27, 16, 10], Operations: ['5*2=10']
Exploring Operation: 27+16=43, Resulting Numbers: [10, 43]
Generated Node #0,3,0: 67:[10, 43] Operation: 27+16=43
Exploring Operation: 27+10=37, Resulting Numbers: [16, 37]
Generated Node #0,3,1: 67:[16, 37] Operation: 27+10=37
Exploring Operation: 27-10=17, Resulting Numbers: [16, 17]
Generated Node #0,3,2: 67:[16, 17] Operation: 27-10=17
Exploring Operation: 16+10=26, Resulting Numbers: [27, 26]
Generated Node #0,3,3: 67:[27, 26] Operation: 16+10=26
Moving to Node #0,3,0
Current State: 67:[10, 43], Operations: ['5*2=10', '27+16=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,67 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,67 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[27, 26], Operations: ['5*2=10', '16+10=26']
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,67 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[16, 37], Operations: ['5*2=10', '27+10=37']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,67 unequal: No Solution
Exploring Operation: 16*37=592, Resulting Numbers: [592]
592,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[16, 17], Operations: ['5*2=10', '27-10=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,67 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 |
[
2,
55,
62,
61
] | 34 | [
"62-55=7",
"61+7=68",
"68/2=34"
] | Current State: 34:[2, 55, 62, 61], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [2, 61, 7]
Generated Node #2: [2, 61, 7] from Operation: 62-55=7
Current State: 34:[2, 61, 7], Operations: ['62-55=7']
Exploring Operation: 61+7=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 61+7=68
Current State: 34:[2, 68], Operations: ['62-55=7', '61+7=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[2, 55, 62, 61], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [2, 55, 1]
Generated Node #0,0: 34:[2, 55, 1] Operation: 62-61=1
Moving to Node #0,0
Current State: 34:[2, 55, 1], Operations: ['62-61=1']
Exploring Operation: 55-2=53, Resulting Numbers: [1, 53]
Generated Node #0,0,0: 34:[1, 53] Operation: 55-2=53
Moving to Node #0,0,0
Current State: 34:[1, 53], Operations: ['62-61=1', '55-2=53']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,34 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
37,
7,
48
] | 83 | [
"79-37=42",
"48-7=41",
"42+41=83"
] | Current State: 83:[79, 37, 7, 48], Operations: []
Exploring Operation: 79-37=42, Resulting Numbers: [7, 48, 42]
Generated Node #2: [7, 48, 42] from Operation: 79-37=42
Current State: 83:[7, 48, 42], Operations: ['79-37=42']
Exploring Operation: 48-7=41, Resulting Numbers: [42, 41]
Generated Node #3: [42, 41] from Operation: 48-7=41
Current State: 83:[42, 41], Operations: ['79-37=42', '48-7=41']
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[79, 37, 7, 48], Operations: []
Exploring Operation: 37+7=44, Resulting Numbers: [79, 48, 44]
Generated Node #0,0: 83:[79, 48, 44] Operation: 37+7=44
Exploring Operation: 37+48=85, Resulting Numbers: [79, 7, 85]
Generated Node #0,1: 83:[79, 7, 85] Operation: 37+48=85
Exploring Operation: 7+48=55, Resulting Numbers: [79, 37, 55]
Generated Node #0,2: 83:[79, 37, 55] Operation: 7+48=55
Moving to Node #0,0
Current State: 83:[79, 48, 44], Operations: ['37+7=44']
Exploring Operation: 79+48=127, Resulting Numbers: [44, 127]
Generated Node #0,0,0: 83:[44, 127] Operation: 79+48=127
Exploring Operation: 48+44=92, Resulting Numbers: [79, 92]
Generated Node #0,0,1: 83:[79, 92] Operation: 48+44=92
Exploring Operation: 79+44=123, Resulting Numbers: [48, 123]
Generated Node #0,0,2: 83:[48, 123] Operation: 79+44=123
Moving to Node #0,2
Current State: 83:[79, 37, 55], Operations: ['7+48=55']
Exploring Operation: 79+37=116, Resulting Numbers: [55, 116]
Generated Node #0,2,0: 83:[55, 116] Operation: 79+37=116
Exploring Operation: 79-37=42, Resulting Numbers: [55, 42]
Generated Node #0,2,1: 83:[55, 42] Operation: 79-37=42
Exploring Operation: 37+55=92, Resulting Numbers: [79, 92]
Generated Node #0,2,2: 83:[79, 92] Operation: 37+55=92
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[79, 92], Operations: ['7+48=55', '37+55=92']
Exploring Operation: 79+92=171, Resulting Numbers: [171]
171,83 unequal: No Solution
Exploring Operation: 79*92=7268, Resulting Numbers: [7268]
7268,83 unequal: No Solution
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,83 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:[55, 116], Operations: ['7+48=55', '79+37=116']
Exploring Operation: 116-55=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 55+116=171, Resulting Numbers: [171]
171,83 unequal: No Solution
Exploring Operation: 55*116=6380, Resulting Numbers: [6380]
6380,83 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:[55, 42], Operations: ['7+48=55', '79-37=42']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 55*42=2310, Resulting Numbers: [2310]
2310,83 unequal: No Solution
Exploring Operation: 55+42=97, Resulting Numbers: [97]
97,83 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: 83:[79, 7, 85], Operations: ['37+48=85']
Exploring Operation: 79-7=72, Resulting Numbers: [85, 72]
Generated Node #0,1,0: 83:[85, 72] Operation: 79-7=72
Exploring Operation: 85-7=78, Resulting Numbers: [79, 78]
Generated Node #0,1,1: 83:[79, 78] Operation: 85-7=78
Exploring Operation: 79+7=86, Resulting Numbers: [85, 86]
Generated Node #0,1,2: 83:[85, 86] Operation: 79+7=86
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[85, 86], Operations: ['37+48=85', '79+7=86']
Exploring Operation: 86-85=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 85+86=171, Resulting Numbers: [171]
171,83 unequal: No Solution
Exploring Operation: 85*86=7310, Resulting Numbers: [7310]
7310,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[79, 78], Operations: ['37+48=85', '85-7=78']
Exploring Operation: 79*78=6162, Resulting Numbers: [6162]
6162,83 unequal: No Solution
Exploring Operation: 79+78=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[85, 72], Operations: ['37+48=85', '79-7=72']
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,83 unequal: No Solution
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,83 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: 83:[79, 92], Operations: ['37+7=44', '48+44=92']
Exploring Operation: 79*92=7268, Resulting Numbers: [7268]
7268,83 unequal: No Solution
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 79+92=171, Resulting Numbers: [171]
171,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[48, 123], Operations: ['37+7=44', '79+44=123']
Exploring Operation: 123-48=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 48*123=5904, Resulting Numbers: [5904]
5904,83 unequal: No Solution
Exploring Operation: 48+123=171, Resulting Numbers: [171]
171,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[44, 127], Operations: ['37+7=44', '79+48=127']
Exploring Operation: 127-44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[79, 37, 7, 48], Operations: []
Exploring Operation: 37+7=44, Resulting Numbers: [79, 48, 44]
Generated Node #0,0: 83:[79, 48, 44] Operation: 37+7=44
Moving to Node #0,0
Current State: 83:[79, 48, 44], Operations: ['37+7=44']
Exploring Operation: 79+48=127, Resulting Numbers: [44, 127]
Generated Node #0,0,0: 83:[44, 127] Operation: 79+48=127
Moving to Node #0,0,0
Current State: 83:[44, 127], Operations: ['37+7=44', '79+48=127']
Exploring Operation: 127-44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.96441 | hs_3 | mult_heuristic |
[
27,
51,
98,
46
] | 28 | [
"51-27=24",
"98-46=52",
"52-24=28"
] | Current State: 28:[27, 51, 98, 46], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [98, 46, 24]
Generated Node #2: [98, 46, 24] from Operation: 51-27=24
Current State: 28:[98, 46, 24], Operations: ['51-27=24']
Exploring Operation: 98-46=52, Resulting Numbers: [24, 52]
Generated Node #3: [24, 52] from Operation: 98-46=52
Current State: 28:[24, 52], Operations: ['51-27=24', '98-46=52']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[27, 51, 98, 46], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [27, 46, 47]
Generated Node #0,0: 28:[27, 46, 47] Operation: 98-51=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[27, 46, 47], Operations: ['98-51=47']
Exploring Operation: 47-46=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 28:[27, 1] Operation: 47-46=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[27, 1], Operations: ['98-51=47', '47-46=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[27, 51, 98, 46], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [27, 46, 47]
Generated Node #0,0: 28:[27, 46, 47] Operation: 98-51=47
Moving to Node #0,0
Current State: 28:[27, 46, 47], Operations: ['98-51=47']
Exploring Operation: 47-46=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 28:[27, 1] Operation: 47-46=1
Moving to Node #0,0,0
Current State: 28:[27, 1], Operations: ['98-51=47', '47-46=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
44,
63,
4,
60
] | 16 | [
"63-44=19",
"4*19=76",
"76-60=16"
] | Current State: 16:[44, 63, 4, 60], Operations: []
Exploring Operation: 63-44=19, Resulting Numbers: [4, 60, 19]
Generated Node #2: [4, 60, 19] from Operation: 63-44=19
Current State: 16:[4, 60, 19], Operations: ['63-44=19']
Exploring Operation: 4*19=76, Resulting Numbers: [60, 76]
Generated Node #3: [60, 76] from Operation: 4*19=76
Current State: 16:[60, 76], Operations: ['63-44=19', '4*19=76']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[44, 63, 4, 60], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [63, 4, 16]
Generated Node #0,0: 16:[63, 4, 16] Operation: 60-44=16
Exploring Operation: 63-44=19, Resulting Numbers: [4, 60, 19]
Generated Node #0,1: 16:[4, 60, 19] Operation: 63-44=19
Exploring Operation: 63-60=3, Resulting Numbers: [44, 4, 3]
Generated Node #0,2: 16:[44, 4, 3] Operation: 63-60=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[44, 4, 3], Operations: ['63-60=3']
Exploring Operation: 44-4=40, Resulting Numbers: [3, 40]
Generated Node #0,2,0: 16:[3, 40] Operation: 44-4=40
Exploring Operation: 44/4=11, Resulting Numbers: [3, 11]
Generated Node #0,2,1: 16:[3, 11] Operation: 44/4=11
Exploring Operation: 44-3=41, Resulting Numbers: [4, 41]
Generated Node #0,2,2: 16:[4, 41] Operation: 44-3=41
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[3, 11], Operations: ['63-60=3', '44/4=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,16 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,16 unequal: No Solution
No 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: 16:[3, 40], Operations: ['63-60=3', '44-4=40']
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,16 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,16 unequal: No Solution
No 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: 16:[4, 41], Operations: ['63-60=3', '44-3=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,16 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,16 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: 16:[63, 4, 16], Operations: ['60-44=16']
Exploring Operation: 63-16=47, Resulting Numbers: [4, 47]
Generated Node #0,0,0: 16:[4, 47] Operation: 63-16=47
Exploring Operation: 63-4=59, Resulting Numbers: [16, 59]
Generated Node #0,0,1: 16:[16, 59] Operation: 63-4=59
Exploring Operation: 16/4=4, Resulting Numbers: [63, 4]
Generated Node #0,0,2: 16:[63, 4] Operation: 16/4=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[4, 47], Operations: ['60-44=16', '63-16=47']
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,16 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,16 unequal: No Solution
No 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: 16:[16, 59], Operations: ['60-44=16', '63-4=59']
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,16 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,16 unequal: No Solution
No 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: 16:[63, 4], Operations: ['60-44=16', '16/4=4']
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,16 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,16 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,16 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: 16:[4, 60, 19], Operations: ['63-44=19']
Exploring Operation: 60-19=41, Resulting Numbers: [4, 41]
Generated Node #0,1,0: 16:[4, 41] Operation: 60-19=41
Exploring Operation: 60-4=56, Resulting Numbers: [19, 56]
Generated Node #0,1,1: 16:[19, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [19, 15]
Generated Node #0,1,2: 16:[19, 15] Operation: 60/4=15
Moving to Node #0,1,2
Current State: 16:[19, 15], Operations: ['63-44=19', '60/4=15']
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,16 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[4, 41], Operations: ['63-44=19', '60-19=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,16 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[19, 56], Operations: ['63-44=19', '60-4=56']
Exploring Operation: 19+56=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 19*56=1064, Resulting Numbers: [1064]
1064,16 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,
74,
72,
34
] | 96 | [
"60+74=134",
"72-34=38",
"134-38=96"
] | Current State: 96:[60, 74, 72, 34], Operations: []
Exploring Operation: 60+74=134, Resulting Numbers: [72, 34, 134]
Generated Node #2: [72, 34, 134] from Operation: 60+74=134
Current State: 96:[72, 34, 134], Operations: ['60+74=134']
Exploring Operation: 72-34=38, Resulting Numbers: [134, 38]
Generated Node #3: [134, 38] from Operation: 72-34=38
Current State: 96:[134, 38], Operations: ['60+74=134', '72-34=38']
Exploring Operation: 134-38=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[60, 74, 72, 34], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [74, 34, 12]
Generated Node #0,0: 96:[74, 34, 12] Operation: 72-60=12
Exploring Operation: 74-72=2, Resulting Numbers: [60, 34, 2]
Generated Node #0,1: 96:[60, 34, 2] Operation: 74-72=2
Exploring Operation: 74-60=14, Resulting Numbers: [72, 34, 14]
Generated Node #0,2: 96:[72, 34, 14] Operation: 74-60=14
Exploring Operation: 72-34=38, Resulting Numbers: [60, 74, 38]
Generated Node #0,3: 96:[60, 74, 38] Operation: 72-34=38
Exploring Operation: 74-34=40, Resulting Numbers: [60, 72, 40]
Generated Node #0,4: 96:[60, 72, 40] Operation: 74-34=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[60, 34, 2], Operations: ['74-72=2']
Exploring Operation: 60-2=58, Resulting Numbers: [34, 58]
Generated Node #0,1,0: 96:[34, 58] Operation: 60-2=58
Exploring Operation: 60-34=26, Resulting Numbers: [2, 26]
Generated Node #0,1,1: 96:[2, 26] Operation: 60-34=26
Exploring Operation: 34-2=32, Resulting Numbers: [60, 32]
Generated Node #0,1,2: 96:[60, 32] Operation: 34-2=32
Exploring Operation: 60/2=30, Resulting Numbers: [34, 30]
Generated Node #0,1,3: 96:[34, 30] Operation: 60/2=30
Exploring Operation: 60+34=94, Resulting Numbers: [2, 94]
Generated Node #0,1,4: 96:[2, 94] Operation: 60+34=94
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[2, 26], Operations: ['74-72=2', '60-34=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 96:[2, 94], Operations: ['74-72=2', '60+34=94']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,96 unequal: No Solution
Exploring Operation: 2*94=188, Resulting Numbers: [188]
188,96 unequal: No Solution
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[60, 74, 72, 34], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [60, 34, 2]
Generated Node #0,1: 96:[60, 34, 2] Operation: 74-72=2
Moving to Node #0,1
Current State: 96:[60, 34, 2], Operations: ['74-72=2']
Exploring Operation: 60+34=94, Resulting Numbers: [2, 94]
Generated Node #0,1,4: 96:[2, 94] Operation: 60+34=94
Moving to Node #0,1,4
Current State: 96:[2, 94], Operations: ['74-72=2', '60+34=94']
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
31,
86,
6,
60
] | 51 | [
"31+86=117",
"6+60=66",
"117-66=51"
] | Current State: 51:[31, 86, 6, 60], Operations: []
Exploring Operation: 31+86=117, Resulting Numbers: [6, 60, 117]
Generated Node #2: [6, 60, 117] from Operation: 31+86=117
Current State: 51:[6, 60, 117], Operations: ['31+86=117']
Exploring Operation: 6+60=66, Resulting Numbers: [117, 66]
Generated Node #3: [117, 66] from Operation: 6+60=66
Current State: 51:[117, 66], Operations: ['31+86=117', '6+60=66']
Exploring Operation: 117-66=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[31, 86, 6, 60], Operations: []
Exploring Operation: 86-31=55, Resulting Numbers: [6, 60, 55]
Generated Node #0,0: 51:[6, 60, 55] Operation: 86-31=55
Exploring Operation: 31-6=25, Resulting Numbers: [86, 60, 25]
Generated Node #0,1: 51:[86, 60, 25] Operation: 31-6=25
Exploring Operation: 60-31=29, Resulting Numbers: [86, 6, 29]
Generated Node #0,2: 51:[86, 6, 29] Operation: 60-31=29
Exploring Operation: 86-60=26, Resulting Numbers: [31, 6, 26]
Generated Node #0,3: 51:[31, 6, 26] Operation: 86-60=26
Moving to Node #0,0
Current State: 51:[6, 60, 55], Operations: ['86-31=55']
Exploring Operation: 55-6=49, Resulting Numbers: [60, 49]
Generated Node #0,0,0: 51:[60, 49] Operation: 55-6=49
Exploring Operation: 60-55=5, Resulting Numbers: [6, 5]
Generated Node #0,0,1: 51:[6, 5] Operation: 60-55=5
Exploring Operation: 60/6=10, Resulting Numbers: [55, 10]
Generated Node #0,0,2: 51:[55, 10] Operation: 60/6=10
Exploring Operation: 60-6=54, Resulting Numbers: [55, 54]
Generated Node #0,0,3: 51:[55, 54] Operation: 60-6=54
Moving to Node #0,3
Current State: 51:[31, 6, 26], Operations: ['86-60=26']
Exploring Operation: 26-6=20, Resulting Numbers: [31, 20]
Generated Node #0,3,0: 51:[31, 20] Operation: 26-6=20
Exploring Operation: 31-6=25, Resulting Numbers: [26, 25]
Generated Node #0,3,1: 51:[26, 25] Operation: 31-6=25
Exploring Operation: 31+26=57, Resulting Numbers: [6, 57]
Generated Node #0,3,2: 51:[6, 57] Operation: 31+26=57
Exploring Operation: 31-26=5, Resulting Numbers: [6, 5]
Generated Node #0,3,3: 51:[6, 5] Operation: 31-26=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 51:[6, 5], Operations: ['86-60=26', '31-26=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[6, 57], Operations: ['86-60=26', '31+26=57']
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,51 unequal: No Solution
Exploring Operation: 6*57=342, Resulting Numbers: [342]
342,51 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[31, 86, 6, 60], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [31, 6, 26]
Generated Node #0,3: 51:[31, 6, 26] Operation: 86-60=26
Moving to Node #0,3
Current State: 51:[31, 6, 26], Operations: ['86-60=26']
Exploring Operation: 31+26=57, Resulting Numbers: [6, 57]
Generated Node #0,3,2: 51:[6, 57] Operation: 31+26=57
Moving to Node #0,3,2
Current State: 51:[6, 57], Operations: ['86-60=26', '31+26=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
7,
15,
25,
34
] | 81 | [
"7+15=22",
"25+34=59",
"22+59=81"
] | Current State: 81:[7, 15, 25, 34], Operations: []
Exploring Operation: 7+15=22, Resulting Numbers: [25, 34, 22]
Generated Node #2: [25, 34, 22] from Operation: 7+15=22
Current State: 81:[25, 34, 22], Operations: ['7+15=22']
Exploring Operation: 25+34=59, Resulting Numbers: [22, 59]
Generated Node #3: [22, 59] from Operation: 25+34=59
Current State: 81:[22, 59], Operations: ['7+15=22', '25+34=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[7, 15, 25, 34], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [25, 34, 8]
Generated Node #0,0: 81:[25, 34, 8] Operation: 15-7=8
Exploring Operation: 34-25=9, Resulting Numbers: [7, 15, 9]
Generated Node #0,1: 81:[7, 15, 9] Operation: 34-25=9
Exploring Operation: 34-7=27, Resulting Numbers: [15, 25, 27]
Generated Node #0,2: 81:[15, 25, 27] Operation: 34-7=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[7, 15, 9], Operations: ['34-25=9']
Exploring Operation: 15-7=8, Resulting Numbers: [9, 8]
Generated Node #0,1,0: 81:[9, 8] Operation: 15-7=8
Exploring Operation: 7+15=22, Resulting Numbers: [9, 22]
Generated Node #0,1,1: 81:[9, 22] Operation: 7+15=22
Exploring Operation: 15+9=24, Resulting Numbers: [7, 24]
Generated Node #0,1,2: 81:[7, 24] Operation: 15+9=24
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[9, 8], Operations: ['34-25=9', '15-7=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,81 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[9, 22], Operations: ['34-25=9', '7+15=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,81 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,81 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 81:[7, 24], Operations: ['34-25=9', '15+9=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,81 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,81 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[15, 25, 27], Operations: ['34-7=27']
Exploring Operation: 25-15=10, Resulting Numbers: [27, 10]
Generated Node #0,2,0: 81:[27, 10] Operation: 25-15=10
Exploring Operation: 27-25=2, Resulting Numbers: [15, 2]
Generated Node #0,2,1: 81:[15, 2] Operation: 27-25=2
Exploring Operation: 27-15=12, Resulting Numbers: [25, 12]
Generated Node #0,2,2: 81:[25, 12] Operation: 27-15=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 81:[27, 10], Operations: ['34-7=27', '25-15=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,81 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 81:[25, 12], Operations: ['34-7=27', '27-15=12']
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,81 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 81:[15, 2], Operations: ['34-7=27', '27-25=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[25, 34, 8], Operations: ['15-7=8']
Exploring Operation: 34-25=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 81:[8, 9] Operation: 34-25=9
Exploring Operation: 34-8=26, Resulting Numbers: [25, 26]
Generated Node #0,0,1: 81:[25, 26] Operation: 34-8=26
Exploring Operation: 25+8=33, Resulting Numbers: [34, 33]
Generated Node #0,0,2: 81:[34, 33] Operation: 25+8=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[8, 9], Operations: ['15-7=8', '34-25=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[25, 26], Operations: ['15-7=8', '34-8=26']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[34, 33], Operations: ['15-7=8', '25+8=33']
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,81 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
22,
31,
4,
36
] | 90 | [
"22-4=18",
"36-31=5",
"18*5=90"
] | Current State: 90:[22, 31, 4, 36], Operations: []
Exploring Operation: 22-4=18, Resulting Numbers: [31, 36, 18]
Generated Node #2: [31, 36, 18] from Operation: 22-4=18
Current State: 90:[31, 36, 18], Operations: ['22-4=18']
Exploring Operation: 36-31=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 36-31=5
Current State: 90:[18, 5], Operations: ['22-4=18', '36-31=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[22, 31, 4, 36], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [4, 36, 9]
Generated Node #0,0: 90:[4, 36, 9] Operation: 31-22=9
Exploring Operation: 36-22=14, Resulting Numbers: [31, 4, 14]
Generated Node #0,1: 90:[31, 4, 14] Operation: 36-22=14
Exploring Operation: 36-31=5, Resulting Numbers: [22, 4, 5]
Generated Node #0,2: 90:[22, 4, 5] Operation: 36-31=5
Exploring Operation: 36/4=9, Resulting Numbers: [22, 31, 9]
Generated Node #0,3: 90:[22, 31, 9] Operation: 36/4=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[31, 4, 14], Operations: ['36-22=14']
Exploring Operation: 31-14=17, Resulting Numbers: [4, 17]
Generated Node #0,1,0: 90:[4, 17] Operation: 31-14=17
Exploring Operation: 14-4=10, Resulting Numbers: [31, 10]
Generated Node #0,1,1: 90:[31, 10] Operation: 14-4=10
Exploring Operation: 31+14=45, Resulting Numbers: [4, 45]
Generated Node #0,1,2: 90:[4, 45] Operation: 31+14=45
Exploring Operation: 4+14=18, Resulting Numbers: [31, 18]
Generated Node #0,1,3: 90:[31, 18] Operation: 4+14=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[31, 10], Operations: ['36-22=14', '14-4=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,90 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 90:[4, 45], Operations: ['36-22=14', '31+14=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,90 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[31, 18], Operations: ['36-22=14', '4+14=18']
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,90 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[4, 17], Operations: ['36-22=14', '31-14=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[22, 4, 5], Operations: ['36-31=5']
Exploring Operation: 22+4=26, Resulting Numbers: [5, 26]
Generated Node #0,2,0: 90:[5, 26] Operation: 22+4=26
Exploring Operation: 22-4=18, Resulting Numbers: [5, 18]
Generated Node #0,2,1: 90:[5, 18] Operation: 22-4=18
Exploring Operation: 22-5=17, Resulting Numbers: [4, 17]
Generated Node #0,2,2: 90:[4, 17] Operation: 22-5=17
Exploring Operation: 22*4=88, Resulting Numbers: [5, 88]
Generated Node #0,2,3: 90:[5, 88] Operation: 22*4=88
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[5, 18], Operations: ['36-31=5', '22-4=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[22, 31, 4, 36], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [22, 4, 5]
Generated Node #0,2: 90:[22, 4, 5] Operation: 36-31=5
Moving to Node #0,2
Current State: 90:[22, 4, 5], Operations: ['36-31=5']
Exploring Operation: 22-4=18, Resulting Numbers: [5, 18]
Generated Node #0,2,1: 90:[5, 18] Operation: 22-4=18
Moving to Node #0,2,1
Current State: 90:[5, 18], Operations: ['36-31=5', '22-4=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
12,
21,
52,
60
] | 84 | [
"12+52=64",
"64-60=4",
"21*4=84"
] | Current State: 84:[12, 21, 52, 60], Operations: []
Exploring Operation: 12+52=64, Resulting Numbers: [21, 60, 64]
Generated Node #2: [21, 60, 64] from Operation: 12+52=64
Current State: 84:[21, 60, 64], Operations: ['12+52=64']
Exploring Operation: 64-60=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 64-60=4
Current State: 84:[21, 4], Operations: ['12+52=64', '64-60=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[12, 21, 52, 60], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [12, 52, 39]
Generated Node #0,0: 84:[12, 52, 39] Operation: 60-21=39
Exploring Operation: 21+60=81, Resulting Numbers: [12, 52, 81]
Generated Node #0,1: 84:[12, 52, 81] Operation: 21+60=81
Exploring Operation: 60/12=5, Resulting Numbers: [21, 52, 5]
Generated Node #0,2: 84:[21, 52, 5] Operation: 60/12=5
Exploring Operation: 60-12=48, Resulting Numbers: [21, 52, 48]
Generated Node #0,3: 84:[21, 52, 48] Operation: 60-12=48
Exploring Operation: 60-52=8, Resulting Numbers: [12, 21, 8]
Generated Node #0,4: 84:[12, 21, 8] Operation: 60-52=8
Start Sub Search at level 1: Moving to Node #0,4
Current State: 84:[12, 21, 8], Operations: ['60-52=8']
Exploring Operation: 12+8=20, Resulting Numbers: [21, 20]
Generated Node #0,4,0: 84:[21, 20] Operation: 12+8=20
Exploring Operation: 12-8=4, Resulting Numbers: [21, 4]
Generated Node #0,4,1: 84:[21, 4] Operation: 12-8=4
Exploring Operation: 21+8=29, Resulting Numbers: [12, 29]
Generated Node #0,4,2: 84:[12, 29] Operation: 21+8=29
Exploring Operation: 21-12=9, Resulting Numbers: [8, 9]
Generated Node #0,4,3: 84:[8, 9] Operation: 21-12=9
Exploring Operation: 21-8=13, Resulting Numbers: [12, 13]
Generated Node #0,4,4: 84:[12, 13] Operation: 21-8=13
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 84:[21, 4], Operations: ['60-52=8', '12-8=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[12, 21, 52, 60], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [12, 21, 8]
Generated Node #0,4: 84:[12, 21, 8] Operation: 60-52=8
Moving to Node #0,4
Current State: 84:[12, 21, 8], Operations: ['60-52=8']
Exploring Operation: 12-8=4, Resulting Numbers: [21, 4]
Generated Node #0,4,1: 84:[21, 4] Operation: 12-8=4
Moving to Node #0,4,1
Current State: 84:[21, 4], Operations: ['60-52=8', '12-8=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
20,
76,
15,
8
] | 65 | [
"76*15=1140",
"1140/20=57",
"8+57=65"
] | Current State: 65:[20, 76, 15, 8], Operations: []
Exploring Operation: 76*15=1140, Resulting Numbers: [20, 8, 1140]
Generated Node #2: [20, 8, 1140] from Operation: 76*15=1140
Current State: 65:[20, 8, 1140], Operations: ['76*15=1140']
Exploring Operation: 1140/20=57, Resulting Numbers: [8, 57]
Generated Node #3: [8, 57] from Operation: 1140/20=57
Current State: 65:[8, 57], Operations: ['76*15=1140', '1140/20=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[20, 76, 15, 8], Operations: []
Exploring Operation: 76-15=61, Resulting Numbers: [20, 8, 61]
Generated Node #0,0: 65:[20, 8, 61] Operation: 76-15=61
Exploring Operation: 76-8=68, Resulting Numbers: [20, 15, 68]
Generated Node #0,1: 65:[20, 15, 68] Operation: 76-8=68
Exploring Operation: 76-20=56, Resulting Numbers: [15, 8, 56]
Generated Node #0,2: 65:[15, 8, 56] Operation: 76-20=56
Exploring Operation: 20-15=5, Resulting Numbers: [76, 8, 5]
Generated Node #0,3: 65:[76, 8, 5] Operation: 20-15=5
Exploring Operation: 20-8=12, Resulting Numbers: [76, 15, 12]
Generated Node #0,4: 65:[76, 15, 12] Operation: 20-8=12
Moving to Node #0,1
Current State: 65:[20, 15, 68], Operations: ['76-8=68']
Exploring Operation: 68-15=53, Resulting Numbers: [20, 53]
Generated Node #0,1,0: 65:[20, 53] Operation: 68-15=53
Exploring Operation: 20+68=88, Resulting Numbers: [15, 88]
Generated Node #0,1,1: 65:[15, 88] Operation: 20+68=88
Exploring Operation: 68-20=48, Resulting Numbers: [15, 48]
Generated Node #0,1,2: 65:[15, 48] Operation: 68-20=48
Exploring Operation: 20+15=35, Resulting Numbers: [68, 35]
Generated Node #0,1,3: 65:[68, 35] Operation: 20+15=35
Exploring Operation: 20-15=5, Resulting Numbers: [68, 5]
Generated Node #0,1,4: 65:[68, 5] Operation: 20-15=5
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 65:[68, 5], Operations: ['76-8=68', '20-15=5']
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,65 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,65 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:[20, 53], Operations: ['76-8=68', '68-15=53']
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,65 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,65 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 #0,1,2
Current State: 65:[15, 48], Operations: ['76-8=68', '68-20=48']
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,65 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,65 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:[15, 88], Operations: ['76-8=68', '20+68=88']
Exploring Operation: 15*88=1320, Resulting Numbers: [1320]
1320,65 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 15+88=103, Resulting Numbers: [103]
103,65 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 #0,1,3
Current State: 65:[68, 35], Operations: ['76-8=68', '20+15=35']
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,65 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,65 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,65 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:[15, 8, 56], Operations: ['76-20=56']
Exploring Operation: 8+56=64, Resulting Numbers: [15, 64]
Generated Node #0,2,0: 65:[15, 64] Operation: 8+56=64
Exploring Operation: 15+8=23, Resulting Numbers: [56, 23]
Generated Node #0,2,1: 65:[56, 23] Operation: 15+8=23
Exploring Operation: 56/8=7, Resulting Numbers: [15, 7]
Generated Node #0,2,2: 65:[15, 7] Operation: 56/8=7
Exploring Operation: 15+56=71, Resulting Numbers: [8, 71]
Generated Node #0,2,3: 65:[8, 71] Operation: 15+56=71
Exploring Operation: 15-8=7, Resulting Numbers: [56, 7]
Generated Node #0,2,4: 65:[56, 7] Operation: 15-8=7
Moving to Node #0,4
Current State: 65:[76, 15, 12], Operations: ['20-8=12']
Exploring Operation: 76-12=64, Resulting Numbers: [15, 64]
Generated Node #0,4,0: 65:[15, 64] Operation: 76-12=64
Exploring Operation: 15-12=3, Resulting Numbers: [76, 3]
Generated Node #0,4,1: 65:[76, 3] Operation: 15-12=3
Exploring Operation: 76-15=61, Resulting Numbers: [12, 61]
Generated Node #0,4,2: 65:[12, 61] Operation: 76-15=61
Exploring Operation: 15+12=27, Resulting Numbers: [76, 27]
Generated Node #0,4,3: 65:[76, 27] Operation: 15+12=27
Exploring Operation: 76+12=88, Resulting Numbers: [15, 88]
Generated Node #0,4,4: 65:[15, 88] Operation: 76+12=88
Moving to Node #0,0
Current State: 65:[20, 8, 61], Operations: ['76-15=61']
Exploring Operation: 20+61=81, Resulting Numbers: [8, 81]
Generated Node #0,0,0: 65:[8, 81] Operation: 20+61=81
Exploring Operation: 20+8=28, Resulting Numbers: [61, 28]
Generated Node #0,0,1: 65:[61, 28] Operation: 20+8=28
Exploring Operation: 61-8=53, Resulting Numbers: [20, 53]
Generated Node #0,0,2: 65:[20, 53] Operation: 61-8=53
Exploring Operation: 20-8=12, Resulting Numbers: [61, 12]
Generated Node #0,0,3: 65:[61, 12] Operation: 20-8=12
Exploring Operation: 8+61=69, Resulting Numbers: [20, 69]
Generated Node #0,0,4: 65:[20, 69] Operation: 8+61=69
Moving to Node #0,3
Current State: 65:[76, 8, 5], Operations: ['20-15=5']
Exploring Operation: 76-8=68, Resulting Numbers: [5, 68]
Generated Node #0,3,0: 65:[5, 68] Operation: 76-8=68
Exploring Operation: 8-5=3, Resulting Numbers: [76, 3]
Generated Node #0,3,1: 65:[76, 3] Operation: 8-5=3
Exploring Operation: 76+8=84, Resulting Numbers: [5, 84]
Generated Node #0,3,2: 65:[5, 84] Operation: 76+8=84
Exploring Operation: 76-5=71, Resulting Numbers: [8, 71]
Generated Node #0,3,3: 65:[8, 71] Operation: 76-5=71
Exploring Operation: 8+5=13, Resulting Numbers: [76, 13]
Generated Node #0,3,4: 65:[76, 13] Operation: 8+5=13
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 65:[5, 68], Operations: ['20-15=5', '76-8=68']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 5*68=340, Resulting Numbers: [340]
340,65 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 #0,3,3
Current State: 65:[8, 71], Operations: ['20-15=5', '76-5=71']
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,65 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 #0,3,4
Current State: 65:[76, 13], Operations: ['20-15=5', '8+5=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,65 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 #0,3,1
Current State: 65:[76, 3], Operations: ['20-15=5', '8-5=3']
Exploring Operation: 76*3=228, Resulting Numbers: [228]
228,65 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,65 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 #0,3,2
Current State: 65:[5, 84], Operations: ['20-15=5', '76+8=84']
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,65 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 65:[15, 64], Operations: ['76-20=56', '8+56=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,65 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Moving to Node #0,4,0
Current State: 65:[15, 64], Operations: ['20-8=12', '76-12=64']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,65 unequal: No Solution
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[15, 7], Operations: ['76-20=56', '56/8=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,65 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,4,2
Current State: 65:[12, 61], Operations: ['20-8=12', '76-15=61']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[61, 12], Operations: ['76-15=61', '20-8=12']
Exploring Operation: 61*12=732, Resulting Numbers: [732]
732,65 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[8, 71], Operations: ['76-20=56', '15+56=71']
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,65 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Moving to Node #0,0,4
Current State: 65:[20, 69], Operations: ['76-15=61', '8+61=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 20*69=1380, Resulting Numbers: [1380]
1380,65 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[56, 7], Operations: ['76-20=56', '15-8=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 56*7=392, Resulting Numbers: [392]
392,65 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Moving to Node #0,4,1
Current State: 65:[76, 3], Operations: ['20-8=12', '15-12=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 76*3=228, Resulting Numbers: [228]
228,65 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[61, 28], Operations: ['76-15=61', '20+8=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[20, 53], Operations: ['76-15=61', '61-8=53']
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,65 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[56, 23], Operations: ['76-20=56', '15+8=23']
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 56*23=1288, Resulting Numbers: [1288]
1288,65 unequal: No Solution
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[8, 81], Operations: ['76-15=61', '20+61=81']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 8*81=648, Resulting Numbers: [648]
648,65 unequal: No Solution
Moving to Node #0,4,3
Current State: 65:[76, 27], Operations: ['20-8=12', '15+12=27']
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,65 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,65 unequal: No Solution
Moving to Node #0,4,4
Current State: 65:[15, 88], Operations: ['20-8=12', '76+12=88']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 15*88=1320, Resulting Numbers: [1320]
1320,65 unequal: No Solution
Exploring Operation: 15+88=103, Resulting Numbers: [103]
103,65 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
25,
3,
69,
89
] | 91 | [
"25+89=114",
"69/3=23",
"114-23=91"
] | Current State: 91:[25, 3, 69, 89], Operations: []
Exploring Operation: 25+89=114, Resulting Numbers: [3, 69, 114]
Generated Node #2: [3, 69, 114] from Operation: 25+89=114
Current State: 91:[3, 69, 114], Operations: ['25+89=114']
Exploring Operation: 69/3=23, Resulting Numbers: [114, 23]
Generated Node #3: [114, 23] from Operation: 69/3=23
Current State: 91:[114, 23], Operations: ['25+89=114', '69/3=23']
Exploring Operation: 114-23=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[25, 3, 69, 89], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [25, 3, 20]
Generated Node #0,0: 91:[25, 3, 20] Operation: 89-69=20
Exploring Operation: 69/3=23, Resulting Numbers: [25, 89, 23]
Generated Node #0,1: 91:[25, 89, 23] Operation: 69/3=23
Exploring Operation: 25+69=94, Resulting Numbers: [3, 89, 94]
Generated Node #0,2: 91:[3, 89, 94] Operation: 25+69=94
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[3, 89, 94], Operations: ['25+69=94']
Exploring Operation: 94-89=5, Resulting Numbers: [3, 5]
Generated Node #0,2,0: 91:[3, 5] Operation: 94-89=5
Exploring Operation: 94-3=91, Resulting Numbers: [89, 91]
Generated Node #0,2,1: 91:[89, 91] Operation: 94-3=91
Exploring Operation: 3+89=92, Resulting Numbers: [94, 92]
Generated Node #0,2,2: 91:[94, 92] Operation: 3+89=92
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 91:[89, 91], Operations: ['25+69=94', '94-3=91']
Exploring Operation: 89*91=8099, Resulting Numbers: [8099]
8099,91 unequal: No Solution
Exploring Operation: 91-89=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 89+91=180, Resulting Numbers: [180]
180,91 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 #0,2,2
Current State: 91:[94, 92], Operations: ['25+69=94', '3+89=92']
Exploring Operation: 94*92=8648, Resulting Numbers: [8648]
8648,91 unequal: No Solution
Exploring Operation: 94+92=186, Resulting Numbers: [186]
186,91 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,91 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 #0,2,0
Current State: 91:[3, 5], Operations: ['25+69=94', '94-89=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,91 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 #0,0
Current State: 91:[25, 3, 20], Operations: ['89-69=20']
Exploring Operation: 25-20=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 91:[3, 5] Operation: 25-20=5
Exploring Operation: 20-3=17, Resulting Numbers: [25, 17]
Generated Node #0,0,1: 91:[25, 17] Operation: 20-3=17
Exploring Operation: 25-3=22, Resulting Numbers: [20, 22]
Generated Node #0,0,2: 91:[20, 22] Operation: 25-3=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[3, 5], Operations: ['89-69=20', '25-20=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,91 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 #0,0,1
Current State: 91:[25, 17], Operations: ['89-69=20', '20-3=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,91 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,91 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 #0,0,2
Current State: 91:[20, 22], Operations: ['89-69=20', '25-3=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,91 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,91 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 #0,1
Current State: 91:[25, 89, 23], Operations: ['69/3=23']
Exploring Operation: 89+23=112, Resulting Numbers: [25, 112]
Generated Node #0,1,0: 91:[25, 112] Operation: 89+23=112
Exploring Operation: 25-23=2, Resulting Numbers: [89, 2]
Generated Node #0,1,1: 91:[89, 2] Operation: 25-23=2
Exploring Operation: 25+89=114, Resulting Numbers: [23, 114]
Generated Node #0,1,2: 91:[23, 114] Operation: 25+89=114
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[89, 2], Operations: ['69/3=23', '25-23=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,91 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[25, 3, 69, 89], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [25, 89, 23]
Generated Node #0,1: 91:[25, 89, 23] Operation: 69/3=23
Moving to Node #0,1
Current State: 91:[25, 89, 23], Operations: ['69/3=23']
Exploring Operation: 25-23=2, Resulting Numbers: [89, 2]
Generated Node #0,1,1: 91:[89, 2] Operation: 25-23=2
Moving to Node #0,1,1
Current State: 91:[89, 2], Operations: ['69/3=23', '25-23=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | mult_heuristic |
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